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| author | upstream source tree <ports@midipix.org> | 2015-03-15 20:14:05 -0400 |
|---|---|---|
| committer | upstream source tree <ports@midipix.org> | 2015-03-15 20:14:05 -0400 |
| commit | 554fd8c5195424bdbcabf5de30fdc183aba391bd (patch) | |
| tree | 976dc5ab7fddf506dadce60ae936f43f58787092 /libquadmath | |
| download | cbb-gcc-4.6.4-15d2061ac0796199866debe9ac87130894b0cdd3.tar.bz2 cbb-gcc-4.6.4-15d2061ac0796199866debe9ac87130894b0cdd3.tar.xz | |
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Diffstat (limited to 'libquadmath')
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See the GNU + Lesser General Public License for more details. + + You should have received a copy of the GNU Lesser General Public + License along with this library; if not, write to the Free Software + Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA + +Also add information on how to contact you by electronic and paper mail. + +You should also get your employer (if you work as a programmer) or your +school, if any, to sign a "copyright disclaimer" for the library, if +necessary. Here is a sample; alter the names: + + Yoyodyne, Inc., hereby disclaims all copyright interest in the + library `Frob' (a library for tweaking knobs) written by James Random Hacker. + + <signature of Ty Coon>, 1 April 1990 + Ty Coon, President of Vice + +That's all there is to it! + + diff --git a/libquadmath/ChangeLog b/libquadmath/ChangeLog new file mode 100644 index 000000000..14fb98d71 --- /dev/null +++ b/libquadmath/ChangeLog @@ -0,0 +1,458 @@ +2013-04-12 Release Manager + + * GCC 4.6.4 released. + +2012-03-01 Release Manager + + * GCC 4.6.3 released. + +2011-11-20 Andreas Tobler <andreast@fgznet.ch> + + * configure: Regenerate. + +2011-10-26 Release Manager + + * GCC 4.6.2 released. + +2011-09-21 Joseph Myers <joseph@codesourcery.com> + + * Makefile.am (FLAGS_TO_PASS): Define. + * Makefile.in: Regenerate. + +2011-08-01 Jakub Jelinek <jakub@redhat.com> + + * math/rem_pio2q.c (__quadmath_kernel_rem_pio2): Fix up fq to y + conversion for prec 3 and __FLT_EVAL_METHOD__ != 0. + +2011-06-27 Release Manager + + * GCC 4.6.1 released. + +2011-03-28 Rainer Orth <ro@CeBiTec.Uni-Bielefeld.DE> + + Backport from mainline: + 2011-03-21 Rainer Orth <ro@CeBiTec.Uni-Bielefeld.DE> + + PR bootstrap/48135 + * configure.ac (quadmath_use_symver): Handle --disable-symvers. + * configure: Regenerate. + +2011-03-26 Jakub Jelinek <jakub@redhat.com> + + Backport from mainline + 2011-03-25 Jakub Jelinek <jakub@redhat.com> + + * printf/printf_fp.c (__quadmath_printf_fp): Use memcpy instead of + mempcpy. + +2011-03-25 Release Manager + + * GCC 4.6.0 released. + +2011-02-28 Jakub Jelinek <jakub@redhat.com> + + * printf/quadmath-printf.c (quadmath_snprintf): Make sure + that for size > 0 str is always zero terminated. + +2011-02-20 Jakub Jelinek <jakub@redhat.com> + + PR bootstrap/47827 + * printf/quadmath-printf.h (NAN): Redefine to __builtin_nanf (""). + +2011-02-17 Jakub Jelinek <jakub@redhat.com> + + * libquadmath.texi (FLT128_DIG, FLT128_MIN_10_EXP, + FLT128_MAX_10_EXP): Document. + (strtoflt128): Remove obsolete comment. + * configure.ac (HAVE_STRTOULL): New check. + * printf/gmp-impl.h (mpn_construct_float128): New prototype, + define. + * printf/mul_n.c: Include <config.h>. + * printf/add_n.c: Likewise. + * printf/cmp.c: Likewise. + * printf/fpioconst.c: Likewise. + * printf/mul_1.c: Likewise. + * printf/rshift.c: Likewise. + * printf/lshift.c: Likewise. + * printf/submul_1.c: Likewise. + * printf/sub_n.c: Likewise. + * printf/divrem.c: Likewise. + * printf/addmul_1.c: Likewise. + * printf/mul.c: Likewise. + * printf/quadmath-printf.h (isupper, isdigit, tolower): Change + to avoid evaluating argument multiple times. + (isxdigit): Redefine. + * strtod/strtoflt128.c: New file. + * strtod/strtod_l.c: New file. + * strtod/mpn2flt128.c: New file. + * strtod/grouping.h: New file. + * strtod/tens_in_limb.c: New file. + * gdtoa/arith.h: Removed. + * gdtoa/gd_qnan.h: Removed. + * gdtoa/gdtoa_fltrnds.h: Removed. + * gdtoa/gdtoa.h: Removed. + * gdtoa/gdtoaimp.h: Removed. + * gdtoa/gethex.c: Removed. + * gdtoa/gmisc.c: Removed. + * gdtoa/hd_init.c: Removed. + * gdtoa/hexnan.c: Removed. + * gdtoa/makefile: Removed. + * gdtoa/misc.c: Removed. + * gdtoa/README.gdtoa: Removed. + * gdtoa/smisc.c: Removed. + * gdtoa/strtodg.c: Removed. + * gdtoa/strtopQ.c: Removed. + * gdtoa/sum.c: Removed. + * quadmath.h (FLT128_DIG, FLT128_MIN_10_EXP, FLT128_MAX_10_EXP): + Define. + * Makefile.am (libquadmath_la_SOURCES): Remove gdtoa/*, add + strtod/strtoflt128.c, strtod/mpn2flt128.c and strtod/tens_in_limb.c. + * config.h.in: Regenerated. + * configure: Regenerated. + * Makefile.in: Regenerated. + +2011-02-16 Jakub Jelinek <jakub@redhat.com> + + * printf/quadmath-printf.c: Also check __GLIBC__ when checking + whether workarounds for printf hook handling should be added. + + * configure.ac: Check for locale.h too. + (USE_LOCALE_SUPPORT): Remove check. + (USE_NL_LANGINFO, USE_NL_LANGINFO_WC, USE_LOCALECONV): New checks. + (USE_I18_NUMBER_H): Check also for _NL_CTYPE_MB_CUR_MAX. + * printf/printf_fphex.c (__quadmath_printf_fphex): Use nl_langinfo + or localeconv for narrow version and nl_langinfo if USE_NL_LANGINFO_WC + for wide version. + * printf/quadmath-printf.h: Include locale.h if HAVE_LOCALE_H. + * printf/printf_fp.c (USE_I18N_NUMBER_H): Don't define to 0. + (__quadmath_printf_fp): Use nl_langinfo or localeconv for narrow + version and nl_langinfo if USE_NL_LANGINFO_WC for wide version. + Guard nl_langinfo (_NL_CTYPE_MB_CUR_MAX) use with + USE_I18N_NUMBER_H #ifdef. + * configure: Regenerated. + * config.h.in: Regenerated. + +2011-02-14 Jakub Jelinek <jakub@redhat.com> + + PR bootstrap/47736 + * configure.ac (HAVE_PRINTF_HOOKS): Test if printf_info struct has + user field. + * printf/quadmath-printf.c (quadmath_snprintf): Clear whole info + field instead of setting individual fields to 0. Don't set info.user + to -1. + * configure: Regenerated. + + * configure.ac (HAVE_HIDDEN_VISIBILITY): Test with -Werror in CFLAGS. + * printf/printf_fp.c: Don't include <alloca.h>. + * printf/quadmath-printf.h (_itoa): Redefine to __quadmath_itoa. + * configure: Regenerated. + + PR fortran/47642 + * libquadmath.texi (quadmath_snprintf): Document. + (quadmath_flt128tostr): Remove. + * Makefile.am (libquadmath_la_SOURCES): Add printf/*.c. + Remove quadmath_io.c, gdtoa/gdtoa.c, gdtoa/g__fmt.c, + gdtoa/g_Qfmt.c, gdtoa/dmisc.c and gdtoa/ulp.c. + * quadmath.h (quadmath_snprintf): New prototype. + (quadmath_flt128tostr): Remove. + * quadmath_weak.h (quadmath_snprintf): Add. + (quadmath_flt128tostr): Remove. + * configure.ac: New AC_CHECK_HEADERS headers: langinfo.h, wchar.h, + wctype.h, limits.h, ctype.h, printf.h, errno.h. + (AC_USE_SYSTEM_EXTENSIONS): Add. + (HAVE_HIDDEN_VISIBILITY, HAVE_PRINTF_HOOKS, + USE_LOCALE_SUPPORT, USE_I18N_NUMBER_H): New checks. + * quadmath.map (QUADMATH_1.0): Add quadmath_snprintf. Remove + quadmath_flt128tostr. + * printf/printf_fphex.c: New file. + * printf/_itowa.h: New file. + * printf/mul_n.c: New file. + * printf/quadmath-printf.h: New file. + * printf/submul_1.c: New file. + * printf/quadmath-printf.c: New file. + * printf/gmp-impl.h: New file. + * printf/lshift.c: New file. + * printf/fpioconst.h: New file. + * printf/add_n.c: New file. + * printf/cmp.c: New file. + * printf/sub_n.c: New file. + * printf/mul.c: New file. + * printf/divrem.c: New file. + * printf/addmul_1.c: New file. + * printf/printf_fp.c: New file. + * printf/_itoa.h: New file. + * printf/fpioconst.c: New file. + * printf/_i18n_number.h: New file. + * printf/flt1282mpn.c: New file. + * printf/rshift.c: New file. + * printf/mul_1.c: New file. + * quadmath_io.c: Removed. + * gdtoa/gdtoa.c: Removed. + * gdtoa/g__fmt.c: Removed. + * gdtoa/g_Qfmt.c: Removed. + * gdtoa/dmisc.c: Removed. + * gdtoa/ulp.c: Removed. + * config.h.in: Regenerated. + * configure: Regenerated. + * Makefile.in: Regenerated. + +2011-02-13 Ralf Wildenhues <Ralf.Wildenhues@gmx.de> + + * Makefile.in: Regenerate. + * aclocal.m4: Likewise. + * configure: Likewise. + +2011-01-31 Jerry DeLisle <jvdelisle@gcc.gnu.org> + + PR libquadmath/47293 + * gdtoa/qd_qnan.h: Fix NAN bit patterns. + * gdtoa/strtopQ.c (strtoflt128): Handle endianess with NAN. + +2011-01-17 Tobias Burnus <burnus@net-b.de> + + PR fortran/47295 + * libquadmath.text: Document typedef and constants. + +2011-01-17 Tobias Burnus <burnus@net-b.de> + + PR fortran/46817 + * quadmath-imp.h: Refer to libquadmath not ot libiberty, + bump copyright year and use /**/ instead of // comments. + * quadmath.h: Ditto. + * quadmath-weak.h: Ditto. + * quadmath_io.c: Ditto. + +2011-01-16 Jakub Jelinek <jakub@redhat.com> + + PR libfortran/47322 + * math/remquoq.c (remquoq): Use uint64_t type instead of u_int64_t. + + PR fortran/46625 + * quadmath.map (QUADMATH_1.0): Remove quadmath_strtopQ + and quadmath_dtoaq. Add strtoflt128 and quadmath_flt128tostr. + * quadmath_weak.h (quadmath_strtopQ, quadmath_dtoaq): Remove. + (strtoflt128, quadmath_flt128tostr): Add. + * gdtoa/strtopQ.c (quadmath_strtopQ): Rename to... + (strtoflt128): ... this. Return __float128, instead of writing + to memory pointed by last argument. + * quadmath.h: Use C style comments instead of C++ style. + (quadmath_strtopQ, quadmath_dtoaq): Remove prototypes. + (strtoflt128, quadmath_flt128tostr): Add prototypes. + * libquadmath.texi (quadmath_dtoaq): Rename to quadmath_flt128tostr. + (quadmath_strtopQ): Rename to strtoflt128. Adjust prototype, + adjust examples. + * quadmath_io.c (quadmath_dtoaq): Rename to... + (quadmath_flt128tostr): ... this. + + * quadmath.h (__quadmath_throw, __quadmath_nth): Define. + Use it for all prototypes. + + PR fortran/46416 + * quadmath.h (cbrtq, finiteq, isnanq, signbitq, sqrtq): Remove + const from prototype argument. + (cimagq, conjq, cprojq, crealq, fdimq, fmaxq, fminq, ilogbq, + llrintq, log2q, lrintq, nearbyintq, remquoq): New prototypes. + (__quadmath_extern_inline): Define. + (cimagq, conjq, crealq): New inlines. + * Makefile.am (libquadmath_la_SOURCES): Add math/cimagq.c, + math/conjq.c, math/cprojq.c, math/crealq.c, math/fdimq.c, + math/fmaxq.c, math/fminq.c, math/ilogbq.c, math/llrintq.c, + math/log2q.c, math/lrintq.c, math/nearbyintq.c and math/remquoq.c. + * Makefile.in: Regenerated. + * quadmath_weak.h (cimagq, conjq, cprojq, crealq, fdimq, fmaxq, + fminq, ilogbq, llrintq, log2q, lrintq, nearbyintq, remquoq): Add. + * quadmath-imp.h (__LITTLE_ENDIAN__): Don't define. + (ieee854_float128): Use __BYTE_ORDER == __ORDER_BIG_ENDIAN__ + tests instead of __BIG_ENDIAN__. + * quadmath.map (QUADMATH_1.0): Add cimagq, conjq, cprojq, crealq, + fdimq, fmaxq, fminq, ilogbq, llrintq, log2q, lrintq, nearbyintq + and remquoq. + * libquadmath.texi (cimagq, conjq, cprojq, crealq, fdimq, fmaxq, + fminq, ilogbq, llrintq, log2q, lrintq, nearbyintq, remquoq): Add. + * math/cprojq.c: New file. + * math/ilogbq.c: New file. + * math/fminq.c: New file. + * math/llrintq.c: New file. + * math/log2q.c: New file. + * math/lrintq.c: New file. + * math/crealq.c: New file. + * math/nearbyintq.c: New file. + * math/fmaxq.c: New file. + * math/conjq.c: New file. + * math/remquoq.c: New file. + * math/cimagq.c: New file. + * math/fdimq.c: New file. + + * math/ldexpq.c: Include errno.h. Set errno to ERANGE if needed. + + PR fortran/46416 + * quadmath.h (cacosq, cacoshq, casinq, casinhq, catanq, catanhq): + New prototypes. + (M_Eq, M_LOG2Eq, M_LOG10Eq, M_LN2q, M_LN10q, M_PIq, M_PI_2q, M_PI_4q, + M_1_PIq, M_2_PIq, M_2_SQRTPIq, M_SQRT2q, M_SQRT1_2q): Define. + * quadmath_weak.h (cacosq, cacoshq, casinq, casinhq, catanq, + catanhq): Add. + * quadmath-imp.h (fpclassifyq, QUADFP_NAN, QUADFP_INFINITE, + QUADFP_ZERO, QUADFP_SUBNORMAL, QUADFP_NORMAL): Define. + * quadmath.map (QUADMATH_1.0): Add cacosq, cacoshq, casinq, casinhq, + catanq and catanhq. + * Makefile.am (libquadmath_la_SOURCES): Add math/cacosq.c, + math/cacoshq.c, math/casinq.c, math/casinhq.c, math/catanq.c + and math/catanhq.c. + * Makefile.in: Regenerated. + * libquadmath.texi (cacosq, cacoshq, casinq, casinhq, + catanq, catanhq): Add. + * math/cacoshq.c: New file. + * math/cacosq.c: New file. + * math/catanq.c: New file. + * math/catanhq.c: New file. + * math/casinq.c: New file. + * math/casinhq.c: New file. + + * math/hypotq.c (hypotq): Use Q suffix instead of L. + * math/atan2q.c (tiny, pi_o_4, pi_o_2, pi, pi_lo, atan2q): Likewise. + * math/cosq.c (cosq): Likewise. + + PR fortran/46402 + * quadmath.map (QUADMATH_1.0): Add fmaq. + * configure.ac: Check for fenv.h, feholdexcept, fesetround, + feupdateenv, fesetenv and fetestexcept. + * configure: Regenerated. + * config.h.in: Regenerated. + * quadmath.h (fmaq): New prototype. + * quadmath_weak.h (fmaq): Add. + * Makefile.am (libquadmath_la_SOURCES): Add math/fmaq.c. + * Makefile.in: Regenerated. + * quadmath-imp.h: Include config.h. + * math/expq.c: Include fenv.h. + (USE_FENV_H): Define if libm support for fe* is there. + (expq): Add fesetround etc. support if USE_FENV_H is defined. + * math/fmaq.c: New file. + * libquadmath.texi (fmaq): Add. + +2011-01-14 Tobias Burnus <burnus@net-b.de> + + PR fortran/47182 + * configure.ac: Use ACX_BUGURL. + * libquadmath.texi: Include libquadmath-vers.texi for BUGURL. + * Makefile.am: Create libquadmath-vers.texi. + * configure.in: Regenerate. + * Makefile.in: Regenerate. + +2011-01-06 Ralf Wildenhues <Ralf.Wildenhues@gmx.de> + + PR fortran/47174 + * Makefile.am (libquadmath.info): Unconditionally override + target, not only if BUILD_LIBQUADMATH. + * Makefile.in: Regenerate. + * configure.ac (AM_INIT_AUTOMAKE): Add -Wno-override option to + avoid warning from automake. + +2010-12-19 Tobias Burnus <burnus@net-b.de> + + PR fortran/46520 + * configure.ac: Do not call AC_CHECK_LIB for gcc_no_link. + * configure: Regenerate + +2010-12-13 Tobias Burnus <burnus@net-b.de> + + PR fortran/46625 + * gdtoa/gdtoaimp.h: Mangle internal functions by + prefixing them with __quadmath. Don't use gdtoa's strcp(y). + * gdtoa/g_Qfmt.c (g_Qfmt): Use strcpy instead of strcp. + * gdtoa/misc.c (strcpy): Renamed from strcp and only use + if NO_STRING_H is set. + * quadmath-imp.h (__quadmath_rem_pio2q, __quadmath_kernel_sincosq + __quadmath_kernel_sinq, __quadmath_kernel_cosq): Added + __quadmath prefix to internal functions. + * math/cosq.c (cosq): Ditto. + * math/sinq.c (cosq): Ditto. + * math/tanq.c (tanq,__quadmath_kernel_tanq): Ditto. + * math/rem_pio2q.c (rem_pio2, __quadmath_kernel_rem_pio2): Ditto. + * math/sinq_kernel.c (__quadmath_kernel_sinq): Ditto. + * math/cosq_kernel.c (__quadmath_kernel_cosq): Ditto. + +2010-12-08 Tobias Burnus <burnus@net-b.de> + + PR fortran/46772 + * gdtoa/gdtoa.h: Include stdlib.h instead of declare strtod. + * gdtoa/gdtoaimp.h: Don't declare strtod. + +2010-12-08 Tobias Burnus <burnus@net-b.de> + + PR fortran/46520 + * configure.ac: Use GCC_TRY_COMPILE_OR_LINK instead of + AC_TRY_LINK and cache libquad_have_float128. + * configure: Regenerate. + +2010-12-08 Tobias Burnus <burnus@net-b.de> + + PR fortran/46543 + * configure.ac: Add texinfo checks. + * Makefile.am: Handle .texi documentation. + * libquadmath.texi: New. + * configure: Regenerated. + * Makefile.in: Regenerated. + +2010-12-06 Tobias Burnus <burnus@net-b.de> + + PR fortran/46817 + * quadmath-imp.h: Add LGPL header. + * quadmath.h: Add LGPL header. + * quadmath_io.c: Add LGPL header. + * quadmath_weak.h: Add LGPL header. + +2010-12-06 Dave Korn <dave.korn.cygwin@gmail.com> + + PR target/40125 + PR lto/46695 + * configure.ac: Invoke ACX_LT_HOST_FLAGS. + * Makefile.am (libquadmath_la_LDFLAGS): Use lt_host_flags. + * aclocal.m4: Regenerate. + * configure: Regenerate. + * Makefile.in: Regenerate. + +2010-11-30 Tobias Burnus <burnus@net-b.de> + + PR fortran/46594 + * Makefile.am: Install include files in + target/version specific directory. + * Makefile.in: Regenerate. + +2010-11-30 Tobias Burnus <burnus@net-b.de> + + * acinclude.m4 (LIBGOMP_CHECK_SYNC_BUILTINS, + LIBGOMP_CHECK_ATTRIBUTE_VISIBILITY, + LIBGOMP_CHECK_ATTRIBUTE_DLLEXPORT): Remove. + +2010-11-29 Kai Tietz <kai.tietz@onevision.com> + + * configure: Regenerated. + * Makefile.in: Regenerated. + * configure.ac (ACX_NONCANONICAL_TARGET): Call it. + (target_alias): Use AC_SUBST for it. + (GCC_NO_EXECUTABLES): Call it. + (AC_PROG_CC): Improve multilib handling. + Check that gcc is used for compilation. + Use pattern from libssp for symbol versioning checking. + * Makefile.am (LTLDFLAGS): Removed. + (libquadmath_la_LDFLAGS): Add -no-undefined. + (libquadmath_la_LINK): Commented out. + (libquadmath_la_DEPENDENCIES): Add libquadmath_la_LIBADD. + (AM_MAKEFLAGS): Add hack for argument passing by top-level. + (MAKEOVERRIDES): New. + * aclocal.m4: Regenerated. + +2010-11-19 Rainer Orth <ro@CeBiTec.Uni-Bielefeld.DE> + + * Makefile.am (libquadmath_la_LIBADD): Move -lm ... + (libquadmath_la_LDFLAGS): ... here. + (quadmath.map-sun): Tabify. + Fix sed expression. + * Makefile.in: Regenerate. + +2010-11-16 Francois-Xavier Coudert <fxcoudert@gcc.gnu.org> + Tobias Burnus <burnus@net-b.de> + + PR fortran/32049 + Initial implementation and checkin. diff --git a/libquadmath/Makefile.am b/libquadmath/Makefile.am new file mode 100644 index 000000000..c7be3e554 --- /dev/null +++ b/libquadmath/Makefile.am @@ -0,0 +1,163 @@ +## Process this file with automake to produce Makefile.in + +AUTOMAKE_OPTIONS = 1.8 foreign + + +## Skip over everything if the quadlib is not available: +if BUILD_LIBQUADMATH +ACLOCAL_AMFLAGS = -I .. -I ../config + +## May be used by toolexeclibdir. +gcc_version := $(shell cat $(top_srcdir)/../gcc/BASE-VER) + +## Symbol versioning (copied from libssp). +if LIBQUAD_USE_SYMVER +if LIBQUAD_USE_SYMVER_GNU +version_arg = -Wl,--version-script=$(srcdir)/quadmath.map +version_dep = $(srcdir)/quadmath.map +endif +if LIBQUAD_USE_SYMVER_SUN +version_arg = -Wl,-M,quadmath.map-sun +version_dep = quadmath.map-sun +quadmath.map-sun : $(srcdir)/quadmath.map \ + $(top_srcdir)/../contrib/make_sunver.pl \ + $(libquadmath_la_OBJECTS) $(libquadmath_la_LIBADD) + perl $(top_srcdir)/../contrib/make_sunver.pl \ + $(srcdir)/quadmath.map \ + `echo $(libquadmath_la_OBJECTS) $(libquadmath_la_LIBADD) | \ + sed 's,\([^/ ]*\)\.l\([ao]\),.libs/\1.\2,g'` \ + > $@ || (rm -f $@ ; exit 1) +endif +else +version_arg = +version_dep = +endif + +toolexeclib_LTLIBRARIES = libquadmath.la +libquadmath_la_LIBADD = +libquadmath_la_LDFLAGS = -version-info `grep -v '^\#' $(srcdir)/libtool-version` \ + $(version_arg) $(lt_host_flags) -lm +libquadmath_la_DEPENDENCIES = $(version_dep) $(libquadmath_la_LIBADD) + +nodist_libsubinclude_HEADERS = quadmath.h quadmath_weak.h +libsubincludedir = $(libdir)/gcc/$(target_alias)/$(gcc_version)/include + +libquadmath_la_SOURCES = \ + math/acoshq.c math/fmodq.c math/acosq.c math/frexpq.c \ + math/rem_pio2q.c math/asinhq.c math/hypotq.c math/remainderq.c \ + math/asinq.c math/rintq.c math/atan2q.c math/isinfq.c \ + math/roundq.c math/atanhq.c math/isnanq.c math/scalblnq.c math/atanq.c \ + math/j0q.c math/scalbnq.c math/cbrtq.c math/j1q.c math/signbitq.c \ + math/ceilq.c math/jnq.c math/sincos_table.c math/complex.c math/ldexpq.c \ + math/sincosq.c math/copysignq.c math/lgammaq.c math/sincosq_kernel.c \ + math/coshq.c math/llroundq.c math/sinhq.c math/cosq.c math/log10q.c \ + math/sinq.c math/cosq_kernel.c math/log1pq.c math/sinq_kernel.c \ + math/erfq.c math/logq.c math/sqrtq.c math/expm1q.c math/lroundq.c \ + math/tanhq.c math/expq.c math/modfq.c math/tanq.c math/fabsq.c \ + math/nanq.c math/tgammaq.c math/finiteq.c math/nextafterq.c \ + math/truncq.c math/floorq.c math/powq.c math/fmaq.c \ + math/cacoshq.c math/cacosq.c math/casinhq.c math/casinq.c \ + math/catanhq.c math/catanq.c math/cimagq.c math/conjq.c math/cprojq.c \ + math/crealq.c math/fdimq.c math/fmaxq.c math/fminq.c math/ilogbq.c \ + math/llrintq.c math/log2q.c math/lrintq.c math/nearbyintq.c math/remquoq.c \ + printf/addmul_1.c printf/add_n.c printf/cmp.c printf/divrem.c \ + printf/flt1282mpn.c printf/fpioconst.c printf/lshift.c printf/mul_1.c \ + printf/mul_n.c printf/mul.c printf/printf_fphex.c printf/printf_fp.c \ + printf/quadmath-printf.c printf/rshift.c printf/submul_1.c printf/sub_n.c \ + strtod/strtoflt128.c strtod/mpn2flt128.c strtod/tens_in_limb.c + + +# Work around what appears to be a GNU make bug handling MAKEFLAGS +# values defined in terms of make variables, as is the case for CC and +# friends when we are called from the top level Makefile. +AM_MAKEFLAGS = \ + "AR_FLAGS=$(AR_FLAGS)" \ + "CC_FOR_BUILD=$(CC_FOR_BUILD)" \ + "CFLAGS=$(CFLAGS)" \ + "CXXFLAGS=$(CXXFLAGS)" \ + "CFLAGS_FOR_BUILD=$(CFLAGS_FOR_BUILD)" \ + "CFLAGS_FOR_TARGET=$(CFLAGS_FOR_TARGET)" \ + "INSTALL=$(INSTALL)" \ + "INSTALL_DATA=$(INSTALL_DATA)" \ + "INSTALL_PROGRAM=$(INSTALL_PROGRAM)" \ + "INSTALL_SCRIPT=$(INSTALL_SCRIPT)" \ + "JC1FLAGS=$(JC1FLAGS)" \ + "LDFLAGS=$(LDFLAGS)" \ + "LIBCFLAGS=$(LIBCFLAGS)" \ + "LIBCFLAGS_FOR_TARGET=$(LIBCFLAGS_FOR_TARGET)" \ + "MAKE=$(MAKE)" \ + "MAKEINFO=$(MAKEINFO) $(MAKEINFOFLAGS)" \ + "PICFLAG=$(PICFLAG)" \ + "PICFLAG_FOR_TARGET=$(PICFLAG_FOR_TARGET)" \ + "SHELL=$(SHELL)" \ + "RUNTESTFLAGS=$(RUNTESTFLAGS)" \ + "exec_prefix=$(exec_prefix)" \ + "infodir=$(infodir)" \ + "libdir=$(libdir)" \ + "prefix=$(prefix)" \ + "includedir=$(includedir)" \ + "AR=$(AR)" \ + "AS=$(AS)" \ + "CC=$(CC)" \ + "CXX=$(CXX)" \ + "LD=$(LD)" \ + "LIBCFLAGS=$(LIBCFLAGS)" \ + "NM=$(NM)" \ + "PICFLAG=$(PICFLAG)" \ + "RANLIB=$(RANLIB)" \ + "DESTDIR=$(DESTDIR)" + +# Subdir rules rely on $(FLAGS_TO_PASS) +FLAGS_TO_PASS = $(AM_MAKEFLAGS) + +MAKEOVERRIDES= + +# AM_CONDITIONAL on configure option --generated-files-in-srcdir +if GENINSRC +STAMP_GENINSRC = stamp-geninsrc +else +STAMP_GENINSRC = +endif + +# AM_CONDITIONAL on configure check ACX_CHECK_PROG_VER([MAKEINFO]) +if BUILD_INFO +STAMP_BUILD_INFO = stamp-build-info +else +STAMP_BUILD_INFO = +endif + + +all-local: $(STAMP_GENINSRC) + +stamp-geninsrc: libquadmath.info + cp -p $(top_builddir)/libquadmath.info $(srcdir)/libquadmath.info + @touch $@ + +stamp-build-info: libquadmath.texi $(libquadmath_TEXINFOS) + $(MAKEINFO) $(AM_MAKEINFOFLAGS) $(MAKEINFOFLAGS) -I $(srcdir) -o libquadmath.info $(srcdir)/libquadmath.texi + @touch $@ + +CLEANFILES = $(STAMP_GENINSRC) $(STAMP_BUILD_INFO) libquadmath.info +MAINTAINERCLEANFILES = $(srcdir)/libquadmath.info + +endif BUILD_LIBQUADMATH + +# Unconditionally override this target, so that automake's definition +# does not wrongly interfere. +libquadmath.info: $(STAMP_BUILD_INFO) + + +# Automake Documentation: +# If your package has Texinfo files in many directories, you can use the +# variable TEXINFO_TEX to tell Automake where to find the canonical +# `texinfo.tex' for your package. 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However `strip' might not be the right +# tool to use in cross-compilation environments, therefore Automake +# will honor the `STRIP' environment variable to overrule this program. +dnl Don't test for $cross_compiling = yes, because it might be `maybe'. +if test "$cross_compiling" != no; then + AC_CHECK_TOOL([STRIP], [strip], :) +fi +INSTALL_STRIP_PROGRAM="\$(install_sh) -c -s" +AC_SUBST([INSTALL_STRIP_PROGRAM])]) + +# Copyright (C) 2006, 2008 Free Software Foundation, Inc. +# +# This file is free software; the Free Software Foundation +# gives unlimited permission to copy and/or distribute it, +# with or without modifications, as long as this notice is preserved. + +# serial 2 + +# _AM_SUBST_NOTMAKE(VARIABLE) +# --------------------------- +# Prevent Automake from outputting VARIABLE = @VARIABLE@ in Makefile.in. +# This macro is traced by Automake. +AC_DEFUN([_AM_SUBST_NOTMAKE]) + +# AM_SUBST_NOTMAKE(VARIABLE) +# --------------------------- +# Public sister of _AM_SUBST_NOTMAKE. +AC_DEFUN([AM_SUBST_NOTMAKE], [_AM_SUBST_NOTMAKE($@)]) + +# Check how to create a tarball. -*- Autoconf -*- + +# Copyright (C) 2004, 2005 Free Software Foundation, Inc. +# +# This file is free software; the Free Software Foundation +# gives unlimited permission to copy and/or distribute it, +# with or without modifications, as long as this notice is preserved. + +# serial 2 + +# _AM_PROG_TAR(FORMAT) +# -------------------- +# Check how to create a tarball in format FORMAT. +# FORMAT should be one of `v7', `ustar', or `pax'. +# +# Substitute a variable $(am__tar) that is a command +# writing to stdout a FORMAT-tarball containing the directory +# $tardir. +# tardir=directory && $(am__tar) > result.tar +# +# Substitute a variable $(am__untar) that extract such +# a tarball read from stdin. +# $(am__untar) < result.tar +AC_DEFUN([_AM_PROG_TAR], +[# Always define AMTAR for backward compatibility. +AM_MISSING_PROG([AMTAR], [tar]) +m4_if([$1], [v7], + [am__tar='${AMTAR} chof - "$$tardir"'; am__untar='${AMTAR} xf -'], + [m4_case([$1], [ustar],, [pax],, + [m4_fatal([Unknown tar format])]) +AC_MSG_CHECKING([how to create a $1 tar archive]) +# Loop over all known methods to create a tar archive until one works. +_am_tools='gnutar m4_if([$1], [ustar], [plaintar]) pax cpio none' +_am_tools=${am_cv_prog_tar_$1-$_am_tools} +# Do not fold the above two line into one, because Tru64 sh and +# Solaris sh will not grok spaces in the rhs of `-'. +for _am_tool in $_am_tools +do + case $_am_tool in + gnutar) + for _am_tar in tar gnutar gtar; + do + AM_RUN_LOG([$_am_tar --version]) && break + done + am__tar="$_am_tar --format=m4_if([$1], [pax], [posix], [$1]) -chf - "'"$$tardir"' + am__tar_="$_am_tar --format=m4_if([$1], [pax], [posix], [$1]) -chf - "'"$tardir"' + am__untar="$_am_tar -xf -" + ;; + plaintar) + # Must skip GNU tar: if it does not support --format= it doesn't create + # ustar tarball either. + (tar --version) >/dev/null 2>&1 && continue + am__tar='tar chf - "$$tardir"' + am__tar_='tar chf - "$tardir"' + am__untar='tar xf -' + ;; + pax) + am__tar='pax -L -x $1 -w "$$tardir"' + am__tar_='pax -L -x $1 -w "$tardir"' + am__untar='pax -r' + ;; + cpio) + am__tar='find "$$tardir" -print | cpio -o -H $1 -L' + am__tar_='find "$tardir" -print | cpio -o -H $1 -L' + am__untar='cpio -i -H $1 -d' + ;; + none) + am__tar=false + am__tar_=false + am__untar=false + ;; + esac + + # If the value was cached, stop now. We just wanted to have am__tar + # and am__untar set. + test -n "${am_cv_prog_tar_$1}" && break + + # tar/untar a dummy directory, and stop if the command works + rm -rf conftest.dir + mkdir conftest.dir + echo GrepMe > conftest.dir/file + AM_RUN_LOG([tardir=conftest.dir && eval $am__tar_ >conftest.tar]) + rm -rf conftest.dir + if test -s conftest.tar; then + AM_RUN_LOG([$am__untar <conftest.tar]) + grep GrepMe conftest.dir/file >/dev/null 2>&1 && break + fi +done +rm -rf conftest.dir + +AC_CACHE_VAL([am_cv_prog_tar_$1], [am_cv_prog_tar_$1=$_am_tool]) +AC_MSG_RESULT([$am_cv_prog_tar_$1])]) +AC_SUBST([am__tar]) +AC_SUBST([am__untar]) +]) # _AM_PROG_TAR + +m4_include([../config/acx.m4]) +m4_include([../config/depstand.m4]) +m4_include([../config/lead-dot.m4]) +m4_include([../config/lthostflags.m4]) +m4_include([../config/multi.m4]) +m4_include([../config/no-executables.m4]) +m4_include([../config/override.m4]) +m4_include([../ltoptions.m4]) +m4_include([../ltsugar.m4]) +m4_include([../ltversion.m4]) +m4_include([../lt~obsolete.m4]) +m4_include([acinclude.m4]) diff --git a/libquadmath/config.h.in b/libquadmath/config.h.in new file mode 100644 index 000000000..ea3f10c27 --- /dev/null +++ b/libquadmath/config.h.in @@ -0,0 +1,166 @@ +/* config.h.in. Generated from configure.ac by autoheader. */ + +/* libm includes cbrtl */ +#undef HAVE_CBRTL + +/* Define to 1 if you have the <ctype.h> header file. */ +#undef HAVE_CTYPE_H + +/* Define to 1 if you have the <dlfcn.h> header file. */ +#undef HAVE_DLFCN_H + +/* Define to 1 if you have the <errno.h> header file. */ +#undef HAVE_ERRNO_H + +/* libm includes feholdexcept */ +#undef HAVE_FEHOLDEXCEPT + +/* Define to 1 if you have the <fenv.h> header file. */ +#undef HAVE_FENV_H + +/* libm includes fesetenv */ +#undef HAVE_FESETENV + +/* libm includes fesetround */ +#undef HAVE_FESETROUND + +/* libm includes fetestexcept */ +#undef HAVE_FETESTEXCEPT + +/* libm includes feupdateenv */ +#undef HAVE_FEUPDATEENV + +/* __attribute__((visibility ("hidden"))) supported */ +#undef HAVE_HIDDEN_VISIBILITY + +/* Define to 1 if you have the <inttypes.h> header file. */ +#undef HAVE_INTTYPES_H + +/* Define to 1 if you have the <langinfo.h> header file. */ +#undef HAVE_LANGINFO_H + +/* Define to 1 if you have the <limits.h> header file. */ +#undef HAVE_LIMITS_H + +/* Define to 1 if you have the <locale.h> header file. */ +#undef HAVE_LOCALE_H + +/* Define to 1 if you have the <memory.h> header file. */ +#undef HAVE_MEMORY_H + +/* Define to 1 if you have the <printf.h> header file. */ +#undef HAVE_PRINTF_H + +/* GNU C Library stype printf hooks supported */ +#undef HAVE_PRINTF_HOOKS + +/* libm includes sqrtl */ +#undef HAVE_SQRTL + +/* Define to 1 if you have the <stdint.h> header file. */ +#undef HAVE_STDINT_H + +/* Define to 1 if you have the <stdlib.h> header file. */ +#undef HAVE_STDLIB_H + +/* Define to 1 if you have the <strings.h> header file. */ +#undef HAVE_STRINGS_H + +/* Define to 1 if you have the <string.h> header file. */ +#undef HAVE_STRING_H + +/* Define to 1 if you have the `strtoull' function. */ +#undef HAVE_STRTOULL + +/* Define to 1 if you have the <sys/stat.h> header file. */ +#undef HAVE_SYS_STAT_H + +/* Define to 1 if you have the <sys/types.h> header file. */ +#undef HAVE_SYS_TYPES_H + +/* Define to 1 if you have the <unistd.h> header file. */ +#undef HAVE_UNISTD_H + +/* Define to 1 if you have the <wchar.h> header file. */ +#undef HAVE_WCHAR_H + +/* Define to 1 if you have the <wctype.h> header file. */ +#undef HAVE_WCTYPE_H + +/* Define to the sub-directory in which libtool stores uninstalled libraries. + */ +#undef LT_OBJDIR + +/* Define to 1 if your C compiler doesn't accept -c and -o together. */ +#undef NO_MINUS_C_MINUS_O + +/* Name of package */ +#undef PACKAGE + +/* Define to the address where bug reports for this package should be sent. */ +#undef PACKAGE_BUGREPORT + +/* Define to the full name of this package. */ +#undef PACKAGE_NAME + +/* Define to the full name and version of this package. */ +#undef PACKAGE_STRING + +/* Define to the one symbol short name of this package. */ +#undef PACKAGE_TARNAME + +/* Define to the home page for this package. */ +#undef PACKAGE_URL + +/* Define to the version of this package. */ +#undef PACKAGE_VERSION + +/* Define to 1 if you have the ANSI C header files. */ +#undef STDC_HEADERS + +/* whether i18n number rewriting can be supported */ +#undef USE_I18N_NUMBER_H + +/* whether localeconv should be used */ +#undef USE_LOCALECONV + +/* whether nl_langinfo should be used */ +#undef USE_NL_LANGINFO + +/* whether nl_langinfo should be used for wide char locale info */ +#undef USE_NL_LANGINFO_WC + +/* Enable extensions on AIX 3, Interix. */ +#ifndef _ALL_SOURCE +# undef _ALL_SOURCE +#endif +/* Enable GNU extensions on systems that have them. */ +#ifndef _GNU_SOURCE +# undef _GNU_SOURCE +#endif +/* Enable threading extensions on Solaris. */ +#ifndef _POSIX_PTHREAD_SEMANTICS +# undef _POSIX_PTHREAD_SEMANTICS +#endif +/* Enable extensions on HP NonStop. */ +#ifndef _TANDEM_SOURCE +# undef _TANDEM_SOURCE +#endif +/* Enable general extensions on Solaris. */ +#ifndef __EXTENSIONS__ +# undef __EXTENSIONS__ +#endif + + +/* Version number of package */ +#undef VERSION + +/* Define to 1 if on MINIX. */ +#undef _MINIX + +/* Define to 2 if the system does not provide POSIX.1 features except with + this defined. */ +#undef _POSIX_1_SOURCE + +/* Define to 1 if you need to in order for `stat' and other things to work. */ +#undef _POSIX_SOURCE diff --git a/libquadmath/configure b/libquadmath/configure new file mode 100755 index 000000000..9d979337d --- /dev/null +++ b/libquadmath/configure @@ -0,0 +1,15248 @@ +#! /bin/sh +# Guess values for system-dependent variables and create Makefiles. +# Generated by GNU Autoconf 2.64 for GCC Quad-precision Math Library 0.1. +# +# Copyright (C) 1992, 1993, 1994, 1995, 1996, 1998, 1999, 2000, 2001, +# 2002, 2003, 2004, 2005, 2006, 2007, 2008, 2009 Free Software +# Foundation, Inc. +# +# This configure script is free software; the Free Software Foundation +# gives unlimited permission to copy, distribute and modify it. +## -------------------- ## +## M4sh Initialization. ## +## -------------------- ## + +# Be more Bourne compatible +DUALCASE=1; export DUALCASE # for MKS sh +if test -n "${ZSH_VERSION+set}" && (emulate sh) >/dev/null 2>&1; then : + emulate sh + NULLCMD=: + # Pre-4.2 versions of Zsh do word splitting on ${1+"$@"}, which + # is contrary to our usage. Disable this feature. + alias -g '${1+"$@"}'='"$@"' + setopt NO_GLOB_SUBST +else + case `(set -o) 2>/dev/null` in #( + *posix*) : + set -o posix ;; #( + *) : + ;; +esac +fi + + +as_nl=' +' +export as_nl +# Printing a long string crashes Solaris 7 /usr/bin/printf. +as_echo='\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\' +as_echo=$as_echo$as_echo$as_echo$as_echo$as_echo +as_echo=$as_echo$as_echo$as_echo$as_echo$as_echo$as_echo +# Prefer a ksh shell builtin over an external printf program on Solaris, +# but without wasting forks for bash or zsh. +if test -z "$BASH_VERSION$ZSH_VERSION" \ + && (test "X`print -r -- $as_echo`" = "X$as_echo") 2>/dev/null; then + as_echo='print -r --' + as_echo_n='print -rn --' +elif (test "X`printf %s $as_echo`" = "X$as_echo") 2>/dev/null; then + as_echo='printf %s\n' + as_echo_n='printf %s' +else + if test "X`(/usr/ucb/echo -n -n $as_echo) 2>/dev/null`" = "X-n $as_echo"; then + as_echo_body='eval /usr/ucb/echo -n "$1$as_nl"' + as_echo_n='/usr/ucb/echo -n' + else + as_echo_body='eval expr "X$1" : "X\\(.*\\)"' + as_echo_n_body='eval + arg=$1; + case $arg in #( + *"$as_nl"*) + expr "X$arg" : "X\\(.*\\)$as_nl"; + arg=`expr "X$arg" : ".*$as_nl\\(.*\\)"`;; + esac; + expr "X$arg" : "X\\(.*\\)" | tr -d "$as_nl" + ' + export as_echo_n_body + as_echo_n='sh -c $as_echo_n_body as_echo' + fi + export as_echo_body + as_echo='sh -c $as_echo_body as_echo' +fi + +# The user is always right. +if test "${PATH_SEPARATOR+set}" != set; then + PATH_SEPARATOR=: + (PATH='/bin;/bin'; FPATH=$PATH; sh -c :) >/dev/null 2>&1 && { + (PATH='/bin:/bin'; FPATH=$PATH; sh -c :) >/dev/null 2>&1 || + PATH_SEPARATOR=';' + } +fi + + +# IFS +# We need space, tab and new line, in precisely that order. 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But do not cause bugs in bash 2.01; the "|| exit 1" +# suppresses any "Segmentation fault" message there. '((' could +# trigger a bug in pdksh 5.2.14. +for as_var in BASH_ENV ENV MAIL MAILPATH +do eval test x\${$as_var+set} = xset \ + && ( (unset $as_var) || exit 1) >/dev/null 2>&1 && unset $as_var || : +done +PS1='$ ' +PS2='> ' +PS4='+ ' + +# NLS nuisances. +LC_ALL=C +export LC_ALL +LANGUAGE=C +export LANGUAGE + +# CDPATH. +(unset CDPATH) >/dev/null 2>&1 && unset CDPATH + +if test "x$CONFIG_SHELL" = x; then + as_bourne_compatible="if test -n \"\${ZSH_VERSION+set}\" && (emulate sh) >/dev/null 2>&1; then : + emulate sh + NULLCMD=: + # Pre-4.2 versions of Zsh do word splitting on \${1+\"\$@\"}, which + # is contrary to our usage. Disable this feature. + alias -g '\${1+\"\$@\"}'='\"\$@\"' + setopt NO_GLOB_SUBST +else + case \`(set -o) 2>/dev/null\` in #( + *posix*) : + set -o posix ;; #( + *) : + ;; +esac +fi +" + as_required="as_fn_return () { (exit \$1); } +as_fn_success () { as_fn_return 0; } +as_fn_failure () { as_fn_return 1; } +as_fn_ret_success () { return 0; } +as_fn_ret_failure () { return 1; } + +exitcode=0 +as_fn_success || { exitcode=1; echo as_fn_success failed.; } +as_fn_failure && { exitcode=1; echo as_fn_failure succeeded.; } +as_fn_ret_success || { exitcode=1; echo as_fn_ret_success failed.; } +as_fn_ret_failure && { exitcode=1; echo as_fn_ret_failure succeeded.; } +if ( set x; as_fn_ret_success y && test x = \"\$1\" ); then : + +else + exitcode=1; echo positional parameters were not saved. +fi +test x\$exitcode = x0 || exit 1" + as_suggested=" as_lineno_1=";as_suggested=$as_suggested$LINENO;as_suggested=$as_suggested" as_lineno_1a=\$LINENO + as_lineno_2=";as_suggested=$as_suggested$LINENO;as_suggested=$as_suggested" as_lineno_2a=\$LINENO + eval 'test \"x\$as_lineno_1'\$as_run'\" != \"x\$as_lineno_2'\$as_run'\" && + test \"x\`expr \$as_lineno_1'\$as_run' + 1\`\" = \"x\$as_lineno_2'\$as_run'\"' || exit 1 +test \$(( 1 + 1 )) = 2 || exit 1 + + test -n \"\${ZSH_VERSION+set}\${BASH_VERSION+set}\" || ( + ECHO='\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\' + ECHO=\$ECHO\$ECHO\$ECHO\$ECHO\$ECHO + ECHO=\$ECHO\$ECHO\$ECHO\$ECHO\$ECHO\$ECHO + PATH=/empty FPATH=/empty; export PATH FPATH + test \"X\`printf %s \$ECHO\`\" = \"X\$ECHO\" \\ + || test \"X\`print -r -- \$ECHO\`\" = \"X\$ECHO\" ) || exit 1" + if (eval "$as_required") 2>/dev/null; then : + as_have_required=yes +else + as_have_required=no +fi + if test x$as_have_required = xyes && (eval "$as_suggested") 2>/dev/null; then : + +else + as_save_IFS=$IFS; IFS=$PATH_SEPARATOR +as_found=false +for as_dir in /bin$PATH_SEPARATOR/usr/bin$PATH_SEPARATOR$PATH +do + IFS=$as_save_IFS + test -z "$as_dir" && as_dir=. + as_found=: + case $as_dir in #( + /*) + for as_base in sh bash ksh sh5; do + # Try only shells that exist, to save several forks. + as_shell=$as_dir/$as_base + if { test -f "$as_shell" || test -f "$as_shell.exe"; } && + { $as_echo "$as_bourne_compatible""$as_required" | as_run=a "$as_shell"; } 2>/dev/null; then : + CONFIG_SHELL=$as_shell as_have_required=yes + if { $as_echo "$as_bourne_compatible""$as_suggested" | as_run=a "$as_shell"; } 2>/dev/null; then : + break 2 +fi +fi + done;; + esac + as_found=false +done +$as_found || { if { test -f "$SHELL" || test -f "$SHELL.exe"; } && + { $as_echo "$as_bourne_compatible""$as_required" | as_run=a "$SHELL"; } 2>/dev/null; then : + CONFIG_SHELL=$SHELL as_have_required=yes +fi; } +IFS=$as_save_IFS + + + if test "x$CONFIG_SHELL" != x; then : + # We cannot yet assume a decent shell, so we have to provide a + # neutralization value for shells without unset; and this also + # works around shells that cannot unset nonexistent variables. + BASH_ENV=/dev/null + ENV=/dev/null + (unset BASH_ENV) >/dev/null 2>&1 && unset BASH_ENV ENV + export CONFIG_SHELL + exec "$CONFIG_SHELL" "$as_myself" ${1+"$@"} +fi + + if test x$as_have_required = xno; then : + $as_echo "$0: This script requires a shell more modern than all" + $as_echo "$0: the shells that I found on your system." + if test x${ZSH_VERSION+set} = xset ; then + $as_echo "$0: In particular, zsh $ZSH_VERSION has bugs and should" + $as_echo "$0: be upgraded to zsh 4.3.4 or later." + else + $as_echo "$0: Please tell bug-autoconf@gnu.org about your system, +$0: including any error possibly output before this +$0: message. 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It has an incompatible calling convention. + : + elif test $ac_prog = install && + grep pwplus "$as_dir/$ac_prog$ac_exec_ext" >/dev/null 2>&1; then + # program-specific install script used by HP pwplus--don't use. + : + else + rm -rf conftest.one conftest.two conftest.dir + echo one > conftest.one + echo two > conftest.two + mkdir conftest.dir + if "$as_dir/$ac_prog$ac_exec_ext" -c conftest.one conftest.two "`pwd`/conftest.dir" && + test -s conftest.one && test -s conftest.two && + test -s conftest.dir/conftest.one && + test -s conftest.dir/conftest.two + then + ac_cv_path_install="$as_dir/$ac_prog$ac_exec_ext -c" + break 3 + fi + fi + fi + done + done + ;; +esac + + done +IFS=$as_save_IFS + +rm -rf conftest.one conftest.two conftest.dir + +fi + if test "${ac_cv_path_install+set}" = set; then + INSTALL=$ac_cv_path_install + else + # As a last resort, use the slow shell script. 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This can happen + # if, for instance, CONFIG_SHELL is bash and it inherits a + # broken ls alias from the environment. This has actually + # happened. Such a system could not be considered "sane". + as_fn_error "ls -t appears to fail. 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However `strip' might not be the right +# tool to use in cross-compilation environments, therefore Automake +# will honor the `STRIP' environment variable to overrule this program. +if test "$cross_compiling" != no; then + if test -n "$ac_tool_prefix"; then + # Extract the first word of "${ac_tool_prefix}strip", so it can be a program name with args. +set dummy ${ac_tool_prefix}strip; ac_word=$2 +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking for $ac_word" >&5 +$as_echo_n "checking for $ac_word... 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Don't cache a + # value for MKDIR_P within a source directory, because that will + # break other packages using the cache if that directory is + # removed, or if the value is a relative name. + test -d ./--version && rmdir ./--version + MKDIR_P="$ac_install_sh -d" + fi +fi +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $MKDIR_P" >&5 +$as_echo "$MKDIR_P" >&6; } + +mkdir_p="$MKDIR_P" +case $mkdir_p in + [\\/$]* | ?:[\\/]*) ;; + */*) mkdir_p="\$(top_builddir)/$mkdir_p" ;; +esac + +for ac_prog in gawk mawk nawk awk +do + # Extract the first word of "$ac_prog", so it can be a program name with args. +set dummy $ac_prog; ac_word=$2 +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking for $ac_word" >&5 +$as_echo_n "checking for $ac_word... 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The system "awk" is bad on +# some platforms. +# Always define AMTAR for backward compatibility. + +AMTAR=${AMTAR-"${am_missing_run}tar"} + +am__tar='${AMTAR} chof - "$$tardir"'; am__untar='${AMTAR} xf -' + + + + + + +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking for --enable-version-specific-runtime-libs" >&5 +$as_echo_n "checking for --enable-version-specific-runtime-libs... 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" >&6; } +am__include="#" +am__quote= +_am_result=none +# First try GNU make style include. +echo "include confinc" > confmf +# Ignore all kinds of additional output from `make'. +case `$am_make -s -f confmf 2> /dev/null` in #( +*the\ am__doit\ target*) + am__include=include + am__quote= + _am_result=GNU + ;; +esac +# Now try BSD make style include. +if test "$am__include" = "#"; then + echo '.include "confinc"' > confmf + case `$am_make -s -f confmf 2> /dev/null` in #( + *the\ am__doit\ target*) + am__include=.include + am__quote="\"" + _am_result=BSD + ;; + esac +fi + + +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $_am_result" >&5 +$as_echo "$_am_result" >&6; } +rm -f confinc confmf + +# Check whether --enable-dependency-tracking was given. +if test "${enable_dependency_tracking+set}" = set; then : + enableval=$enable_dependency_tracking; +fi + +if test "x$enable_dependency_tracking" != xno; then + am_depcomp="$ac_aux_dir/depcomp" + AMDEPBACKSLASH='\' +fi + if test "x$enable_dependency_tracking" != xno; then + AMDEP_TRUE= + AMDEP_FALSE='#' +else + AMDEP_TRUE='#' + AMDEP_FALSE= +fi + + +ac_ext=c +ac_cpp='$CPP $CPPFLAGS' +ac_compile='$CC -c $CFLAGS $CPPFLAGS conftest.$ac_ext >&5' +ac_link='$CC -o conftest$ac_exeext $CFLAGS $CPPFLAGS $LDFLAGS conftest.$ac_ext $LIBS >&5' +ac_compiler_gnu=$ac_cv_c_compiler_gnu +if test -n "$ac_tool_prefix"; then + # Extract the first word of "${ac_tool_prefix}gcc", so it can be a program name with args. +set dummy ${ac_tool_prefix}gcc; ac_word=$2 +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking for $ac_word" >&5 +$as_echo_n "checking for $ac_word... " >&6; } +if test "${ac_cv_prog_CC+set}" = set; then : + $as_echo_n "(cached) " >&6 +else + if test -n "$CC"; then + ac_cv_prog_CC="$CC" # Let the user override the test. +else +as_save_IFS=$IFS; IFS=$PATH_SEPARATOR +for as_dir in $PATH +do + IFS=$as_save_IFS + test -z "$as_dir" && as_dir=. + for ac_exec_ext in '' $ac_executable_extensions; do + if { test -f "$as_dir/$ac_word$ac_exec_ext" && $as_test_x "$as_dir/$ac_word$ac_exec_ext"; }; then + ac_cv_prog_CC="${ac_tool_prefix}gcc" + $as_echo "$as_me:${as_lineno-$LINENO}: found $as_dir/$ac_word$ac_exec_ext" >&5 + break 2 + fi +done + done +IFS=$as_save_IFS + +fi +fi +CC=$ac_cv_prog_CC +if test -n "$CC"; then + { $as_echo "$as_me:${as_lineno-$LINENO}: result: $CC" >&5 +$as_echo "$CC" >&6; } +else + { $as_echo "$as_me:${as_lineno-$LINENO}: result: no" >&5 +$as_echo "no" >&6; } +fi + + +fi +if test -z "$ac_cv_prog_CC"; then + ac_ct_CC=$CC + # Extract the first word of "gcc", so it can be a program name with args. +set dummy gcc; ac_word=$2 +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking for $ac_word" >&5 +$as_echo_n "checking for $ac_word... " >&6; } +if test "${ac_cv_prog_ac_ct_CC+set}" = set; then : + $as_echo_n "(cached) " >&6 +else + if test -n "$ac_ct_CC"; then + ac_cv_prog_ac_ct_CC="$ac_ct_CC" # Let the user override the test. +else +as_save_IFS=$IFS; IFS=$PATH_SEPARATOR +for as_dir in $PATH +do + IFS=$as_save_IFS + test -z "$as_dir" && as_dir=. + for ac_exec_ext in '' $ac_executable_extensions; do + if { test -f "$as_dir/$ac_word$ac_exec_ext" && $as_test_x "$as_dir/$ac_word$ac_exec_ext"; }; then + ac_cv_prog_ac_ct_CC="gcc" + $as_echo "$as_me:${as_lineno-$LINENO}: found $as_dir/$ac_word$ac_exec_ext" >&5 + break 2 + fi +done + done +IFS=$as_save_IFS + +fi +fi +ac_ct_CC=$ac_cv_prog_ac_ct_CC +if test -n "$ac_ct_CC"; then + { $as_echo "$as_me:${as_lineno-$LINENO}: result: $ac_ct_CC" >&5 +$as_echo "$ac_ct_CC" >&6; } +else + { $as_echo "$as_me:${as_lineno-$LINENO}: result: no" >&5 +$as_echo "no" >&6; } +fi + + if test "x$ac_ct_CC" = x; then + CC="" + else + case $cross_compiling:$ac_tool_warned in +yes:) +{ $as_echo "$as_me:${as_lineno-$LINENO}: WARNING: using cross tools not prefixed with host triplet" >&5 +$as_echo "$as_me: WARNING: using cross tools not prefixed with host triplet" >&2;} +ac_tool_warned=yes ;; +esac + CC=$ac_ct_CC + fi +else + CC="$ac_cv_prog_CC" +fi + +if test -z "$CC"; then + if test -n "$ac_tool_prefix"; then + # Extract the first word of "${ac_tool_prefix}cc", so it can be a program name with args. +set dummy ${ac_tool_prefix}cc; ac_word=$2 +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking for $ac_word" >&5 +$as_echo_n "checking for $ac_word... " >&6; } +if test "${ac_cv_prog_CC+set}" = set; then : + $as_echo_n "(cached) " >&6 +else + if test -n "$CC"; then + ac_cv_prog_CC="$CC" # Let the user override the test. +else +as_save_IFS=$IFS; IFS=$PATH_SEPARATOR +for as_dir in $PATH +do + IFS=$as_save_IFS + test -z "$as_dir" && as_dir=. + for ac_exec_ext in '' $ac_executable_extensions; do + if { test -f "$as_dir/$ac_word$ac_exec_ext" && $as_test_x "$as_dir/$ac_word$ac_exec_ext"; }; then + ac_cv_prog_CC="${ac_tool_prefix}cc" + $as_echo "$as_me:${as_lineno-$LINENO}: found $as_dir/$ac_word$ac_exec_ext" >&5 + break 2 + fi +done + done +IFS=$as_save_IFS + +fi +fi +CC=$ac_cv_prog_CC +if test -n "$CC"; then + { $as_echo "$as_me:${as_lineno-$LINENO}: result: $CC" >&5 +$as_echo "$CC" >&6; } +else + { $as_echo "$as_me:${as_lineno-$LINENO}: result: no" >&5 +$as_echo "no" >&6; } +fi + + + fi +fi +if test -z "$CC"; then + # Extract the first word of "cc", so it can be a program name with args. +set dummy cc; ac_word=$2 +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking for $ac_word" >&5 +$as_echo_n "checking for $ac_word... " >&6; } +if test "${ac_cv_prog_CC+set}" = set; then : + $as_echo_n "(cached) " >&6 +else + if test -n "$CC"; then + ac_cv_prog_CC="$CC" # Let the user override the test. +else + ac_prog_rejected=no +as_save_IFS=$IFS; IFS=$PATH_SEPARATOR +for as_dir in $PATH +do + IFS=$as_save_IFS + test -z "$as_dir" && as_dir=. + for ac_exec_ext in '' $ac_executable_extensions; do + if { test -f "$as_dir/$ac_word$ac_exec_ext" && $as_test_x "$as_dir/$ac_word$ac_exec_ext"; }; then + if test "$as_dir/$ac_word$ac_exec_ext" = "/usr/ucb/cc"; then + ac_prog_rejected=yes + continue + fi + ac_cv_prog_CC="cc" + $as_echo "$as_me:${as_lineno-$LINENO}: found $as_dir/$ac_word$ac_exec_ext" >&5 + break 2 + fi +done + done +IFS=$as_save_IFS + +if test $ac_prog_rejected = yes; then + # We found a bogon in the path, so make sure we never use it. + set dummy $ac_cv_prog_CC + shift + if test $# != 0; then + # We chose a different compiler from the bogus one. + # However, it has the same basename, so the bogon will be chosen + # first if we set CC to just the basename; use the full file name. + shift + ac_cv_prog_CC="$as_dir/$ac_word${1+' '}$@" + fi +fi +fi +fi +CC=$ac_cv_prog_CC +if test -n "$CC"; then + { $as_echo "$as_me:${as_lineno-$LINENO}: result: $CC" >&5 +$as_echo "$CC" >&6; } +else + { $as_echo "$as_me:${as_lineno-$LINENO}: result: no" >&5 +$as_echo "no" >&6; } +fi + + +fi +if test -z "$CC"; then + if test -n "$ac_tool_prefix"; then + for ac_prog in cl.exe + do + # Extract the first word of "$ac_tool_prefix$ac_prog", so it can be a program name with args. +set dummy $ac_tool_prefix$ac_prog; ac_word=$2 +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking for $ac_word" >&5 +$as_echo_n "checking for $ac_word... " >&6; } +if test "${ac_cv_prog_CC+set}" = set; then : + $as_echo_n "(cached) " >&6 +else + if test -n "$CC"; then + ac_cv_prog_CC="$CC" # Let the user override the test. +else +as_save_IFS=$IFS; IFS=$PATH_SEPARATOR +for as_dir in $PATH +do + IFS=$as_save_IFS + test -z "$as_dir" && as_dir=. + for ac_exec_ext in '' $ac_executable_extensions; do + if { test -f "$as_dir/$ac_word$ac_exec_ext" && $as_test_x "$as_dir/$ac_word$ac_exec_ext"; }; then + ac_cv_prog_CC="$ac_tool_prefix$ac_prog" + $as_echo "$as_me:${as_lineno-$LINENO}: found $as_dir/$ac_word$ac_exec_ext" >&5 + break 2 + fi +done + done +IFS=$as_save_IFS + +fi +fi +CC=$ac_cv_prog_CC +if test -n "$CC"; then + { $as_echo "$as_me:${as_lineno-$LINENO}: result: $CC" >&5 +$as_echo "$CC" >&6; } +else + { $as_echo "$as_me:${as_lineno-$LINENO}: result: no" >&5 +$as_echo "no" >&6; } +fi + + + test -n "$CC" && break + done +fi +if test -z "$CC"; then + ac_ct_CC=$CC + for ac_prog in cl.exe +do + # Extract the first word of "$ac_prog", so it can be a program name with args. +set dummy $ac_prog; ac_word=$2 +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking for $ac_word" >&5 +$as_echo_n "checking for $ac_word... " >&6; } +if test "${ac_cv_prog_ac_ct_CC+set}" = set; then : + $as_echo_n "(cached) " >&6 +else + if test -n "$ac_ct_CC"; then + ac_cv_prog_ac_ct_CC="$ac_ct_CC" # Let the user override the test. +else +as_save_IFS=$IFS; IFS=$PATH_SEPARATOR +for as_dir in $PATH +do + IFS=$as_save_IFS + test -z "$as_dir" && as_dir=. + for ac_exec_ext in '' $ac_executable_extensions; do + if { test -f "$as_dir/$ac_word$ac_exec_ext" && $as_test_x "$as_dir/$ac_word$ac_exec_ext"; }; then + ac_cv_prog_ac_ct_CC="$ac_prog" + $as_echo "$as_me:${as_lineno-$LINENO}: found $as_dir/$ac_word$ac_exec_ext" >&5 + break 2 + fi +done + done +IFS=$as_save_IFS + +fi +fi +ac_ct_CC=$ac_cv_prog_ac_ct_CC +if test -n "$ac_ct_CC"; then + { $as_echo "$as_me:${as_lineno-$LINENO}: result: $ac_ct_CC" >&5 +$as_echo "$ac_ct_CC" >&6; } +else + { $as_echo "$as_me:${as_lineno-$LINENO}: result: no" >&5 +$as_echo "no" >&6; } +fi + + + test -n "$ac_ct_CC" && break +done + + if test "x$ac_ct_CC" = x; then + CC="" + else + case $cross_compiling:$ac_tool_warned in +yes:) +{ $as_echo "$as_me:${as_lineno-$LINENO}: WARNING: using cross tools not prefixed with host triplet" >&5 +$as_echo "$as_me: WARNING: using cross tools not prefixed with host triplet" >&2;} +ac_tool_warned=yes ;; +esac + CC=$ac_ct_CC + fi +fi + +fi + + +test -z "$CC" && { { $as_echo "$as_me:${as_lineno-$LINENO}: error: in \`$ac_pwd':" >&5 +$as_echo "$as_me: error: in \`$ac_pwd':" >&2;} +as_fn_error "no acceptable C compiler found in \$PATH +See \`config.log' for more details." "$LINENO" 5; } + +# Provide some information about the compiler. +$as_echo "$as_me:${as_lineno-$LINENO}: checking for C compiler version" >&5 +set X $ac_compile +ac_compiler=$2 +for ac_option in --version -v -V -qversion; do + { { ac_try="$ac_compiler $ac_option >&5" +case "(($ac_try" in + *\"* | *\`* | *\\*) ac_try_echo=\$ac_try;; + *) ac_try_echo=$ac_try;; +esac +eval ac_try_echo="\"\$as_me:${as_lineno-$LINENO}: $ac_try_echo\"" +$as_echo "$ac_try_echo"; } >&5 + (eval "$ac_compiler $ac_option >&5") 2>conftest.err + ac_status=$? + if test -s conftest.err; then + sed '10a\ +... rest of stderr output deleted ... + 10q' conftest.err >conftest.er1 + cat conftest.er1 >&5 + rm -f conftest.er1 conftest.err + fi + $as_echo "$as_me:${as_lineno-$LINENO}: \$? = $ac_status" >&5 + test $ac_status = 0; } +done + +cat confdefs.h - <<_ACEOF >conftest.$ac_ext +/* end confdefs.h. */ + +int +main () +{ + + ; + return 0; +} +_ACEOF +# FIXME: Cleanup? +if { { eval echo "\"\$as_me\":${as_lineno-$LINENO}: \"$ac_link\""; } >&5 + (eval $ac_link) 2>&5 + ac_status=$? + $as_echo "$as_me:${as_lineno-$LINENO}: \$? = $ac_status" >&5 + test $ac_status = 0; }; then : + gcc_no_link=no +else + gcc_no_link=yes +fi +if test x$gcc_no_link = xyes; then + # Setting cross_compile will disable run tests; it will + # also disable AC_CHECK_FILE but that's generally + # correct if we can't link. + cross_compiling=yes + EXEEXT= +else + cat confdefs.h - <<_ACEOF >conftest.$ac_ext +/* end confdefs.h. */ + +int +main () +{ + + ; + return 0; +} +_ACEOF +ac_clean_files_save=$ac_clean_files +ac_clean_files="$ac_clean_files a.out a.out.dSYM a.exe b.out conftest.out" +# Try to create an executable without -o first, disregard a.out. +# It will help us diagnose broken compilers, and finding out an intuition +# of exeext. +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking for C compiler default output file name" >&5 +$as_echo_n "checking for C compiler default output file name... " >&6; } +ac_link_default=`$as_echo "$ac_link" | sed 's/ -o *conftest[^ ]*//'` + +# The possible output files: +ac_files="a.out conftest.exe conftest a.exe a_out.exe b.out conftest.*" + +ac_rmfiles= +for ac_file in $ac_files +do + case $ac_file in + *.$ac_ext | *.xcoff | *.tds | *.d | *.pdb | *.xSYM | *.bb | *.bbg | *.map | *.inf | *.dSYM | *.o | *.obj ) ;; + * ) ac_rmfiles="$ac_rmfiles $ac_file";; + esac +done +rm -f $ac_rmfiles + +if { { ac_try="$ac_link_default" +case "(($ac_try" in + *\"* | *\`* | *\\*) ac_try_echo=\$ac_try;; + *) ac_try_echo=$ac_try;; +esac +eval ac_try_echo="\"\$as_me:${as_lineno-$LINENO}: $ac_try_echo\"" +$as_echo "$ac_try_echo"; } >&5 + (eval "$ac_link_default") 2>&5 + ac_status=$? + $as_echo "$as_me:${as_lineno-$LINENO}: \$? = $ac_status" >&5 + test $ac_status = 0; }; then : + # Autoconf-2.13 could set the ac_cv_exeext variable to `no'. +# So ignore a value of `no', otherwise this would lead to `EXEEXT = no' +# in a Makefile. We should not override ac_cv_exeext if it was cached, +# so that the user can short-circuit this test for compilers unknown to +# Autoconf. +for ac_file in $ac_files '' +do + test -f "$ac_file" || continue + case $ac_file in + *.$ac_ext | *.xcoff | *.tds | *.d | *.pdb | *.xSYM | *.bb | *.bbg | *.map | *.inf | *.dSYM | *.o | *.obj ) + ;; + [ab].out ) + # We found the default executable, but exeext='' is most + # certainly right. + break;; + *.* ) + if test "${ac_cv_exeext+set}" = set && test "$ac_cv_exeext" != no; + then :; else + ac_cv_exeext=`expr "$ac_file" : '[^.]*\(\..*\)'` + fi + # We set ac_cv_exeext here because the later test for it is not + # safe: cross compilers may not add the suffix if given an `-o' + # argument, so we may need to know it at that point already. + # Even if this section looks crufty: it has the advantage of + # actually working. + break;; + * ) + break;; + esac +done +test "$ac_cv_exeext" = no && ac_cv_exeext= + +else + ac_file='' +fi +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $ac_file" >&5 +$as_echo "$ac_file" >&6; } +if test -z "$ac_file"; then : + $as_echo "$as_me: failed program was:" >&5 +sed 's/^/| /' conftest.$ac_ext >&5 + +{ { $as_echo "$as_me:${as_lineno-$LINENO}: error: in \`$ac_pwd':" >&5 +$as_echo "$as_me: error: in \`$ac_pwd':" >&2;} +{ as_fn_set_status 77 +as_fn_error "C compiler cannot create executables +See \`config.log' for more details." "$LINENO" 5; }; } +fi +ac_exeext=$ac_cv_exeext + +# Check that the compiler produces executables we can run. If not, either +# the compiler is broken, or we cross compile. +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking whether the C compiler works" >&5 +$as_echo_n "checking whether the C compiler works... " >&6; } +# If not cross compiling, check that we can run a simple program. +if test "$cross_compiling" != yes; then + if { ac_try='./$ac_file' + { { case "(($ac_try" in + *\"* | *\`* | *\\*) ac_try_echo=\$ac_try;; + *) ac_try_echo=$ac_try;; +esac +eval ac_try_echo="\"\$as_me:${as_lineno-$LINENO}: $ac_try_echo\"" +$as_echo "$ac_try_echo"; } >&5 + (eval "$ac_try") 2>&5 + ac_status=$? + $as_echo "$as_me:${as_lineno-$LINENO}: \$? = $ac_status" >&5 + test $ac_status = 0; }; }; then + cross_compiling=no + else + if test "$cross_compiling" = maybe; then + cross_compiling=yes + else + { { $as_echo "$as_me:${as_lineno-$LINENO}: error: in \`$ac_pwd':" >&5 +$as_echo "$as_me: error: in \`$ac_pwd':" >&2;} +as_fn_error "cannot run C compiled programs. +If you meant to cross compile, use \`--host'. +See \`config.log' for more details." "$LINENO" 5; } + fi + fi +fi +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: yes" >&5 +$as_echo "yes" >&6; } + +rm -f -r a.out a.out.dSYM a.exe conftest$ac_cv_exeext b.out conftest.out +ac_clean_files=$ac_clean_files_save +# Check that the compiler produces executables we can run. If not, either +# the compiler is broken, or we cross compile. +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking whether we are cross compiling" >&5 +$as_echo_n "checking whether we are cross compiling... " >&6; } +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $cross_compiling" >&5 +$as_echo "$cross_compiling" >&6; } + +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking for suffix of executables" >&5 +$as_echo_n "checking for suffix of executables... " >&6; } +if { { ac_try="$ac_link" +case "(($ac_try" in + *\"* | *\`* | *\\*) ac_try_echo=\$ac_try;; + *) ac_try_echo=$ac_try;; +esac +eval ac_try_echo="\"\$as_me:${as_lineno-$LINENO}: $ac_try_echo\"" +$as_echo "$ac_try_echo"; } >&5 + (eval "$ac_link") 2>&5 + ac_status=$? + $as_echo "$as_me:${as_lineno-$LINENO}: \$? = $ac_status" >&5 + test $ac_status = 0; }; then : + # If both `conftest.exe' and `conftest' are `present' (well, observable) +# catch `conftest.exe'. For instance with Cygwin, `ls conftest' will +# work properly (i.e., refer to `conftest.exe'), while it won't with +# `rm'. +for ac_file in conftest.exe conftest conftest.*; do + test -f "$ac_file" || continue + case $ac_file in + *.$ac_ext | *.xcoff | *.tds | *.d | *.pdb | *.xSYM | *.bb | *.bbg | *.map | *.inf | *.dSYM | *.o | *.obj ) ;; + *.* ) ac_cv_exeext=`expr "$ac_file" : '[^.]*\(\..*\)'` + break;; + * ) break;; + esac +done +else + { { $as_echo "$as_me:${as_lineno-$LINENO}: error: in \`$ac_pwd':" >&5 +$as_echo "$as_me: error: in \`$ac_pwd':" >&2;} +as_fn_error "cannot compute suffix of executables: cannot compile and link +See \`config.log' for more details." "$LINENO" 5; } +fi +rm -f conftest$ac_cv_exeext +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $ac_cv_exeext" >&5 +$as_echo "$ac_cv_exeext" >&6; } + +rm -f conftest.$ac_ext +EXEEXT=$ac_cv_exeext +ac_exeext=$EXEEXT +fi +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking for suffix of object files" >&5 +$as_echo_n "checking for suffix of object files... " >&6; } +if test "${ac_cv_objext+set}" = set; then : + $as_echo_n "(cached) " >&6 +else + cat confdefs.h - <<_ACEOF >conftest.$ac_ext +/* end confdefs.h. */ + +int +main () +{ + + ; + return 0; +} +_ACEOF +rm -f conftest.o conftest.obj +if { { ac_try="$ac_compile" +case "(($ac_try" in + *\"* | *\`* | *\\*) ac_try_echo=\$ac_try;; + *) ac_try_echo=$ac_try;; +esac +eval ac_try_echo="\"\$as_me:${as_lineno-$LINENO}: $ac_try_echo\"" +$as_echo "$ac_try_echo"; } >&5 + (eval "$ac_compile") 2>&5 + ac_status=$? + $as_echo "$as_me:${as_lineno-$LINENO}: \$? = $ac_status" >&5 + test $ac_status = 0; }; then : + for ac_file in conftest.o conftest.obj conftest.*; do + test -f "$ac_file" || continue; + case $ac_file in + *.$ac_ext | *.xcoff | *.tds | *.d | *.pdb | *.xSYM | *.bb | *.bbg | *.map | *.inf | *.dSYM ) ;; + *) ac_cv_objext=`expr "$ac_file" : '.*\.\(.*\)'` + break;; + esac +done +else + $as_echo "$as_me: failed program was:" >&5 +sed 's/^/| /' conftest.$ac_ext >&5 + +{ { $as_echo "$as_me:${as_lineno-$LINENO}: error: in \`$ac_pwd':" >&5 +$as_echo "$as_me: error: in \`$ac_pwd':" >&2;} +as_fn_error "cannot compute suffix of object files: cannot compile +See \`config.log' for more details." "$LINENO" 5; } +fi +rm -f conftest.$ac_cv_objext conftest.$ac_ext +fi +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $ac_cv_objext" >&5 +$as_echo "$ac_cv_objext" >&6; } +OBJEXT=$ac_cv_objext +ac_objext=$OBJEXT +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking whether we are using the GNU C compiler" >&5 +$as_echo_n "checking whether we are using the GNU C compiler... " >&6; } +if test "${ac_cv_c_compiler_gnu+set}" = set; then : + $as_echo_n "(cached) " >&6 +else + cat confdefs.h - <<_ACEOF >conftest.$ac_ext +/* end confdefs.h. */ + +int +main () +{ +#ifndef __GNUC__ + choke me +#endif + + ; + return 0; +} +_ACEOF +if ac_fn_c_try_compile "$LINENO"; then : + ac_compiler_gnu=yes +else + ac_compiler_gnu=no +fi +rm -f core conftest.err conftest.$ac_objext conftest.$ac_ext +ac_cv_c_compiler_gnu=$ac_compiler_gnu + +fi +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $ac_cv_c_compiler_gnu" >&5 +$as_echo "$ac_cv_c_compiler_gnu" >&6; } +if test $ac_compiler_gnu = yes; then + GCC=yes +else + GCC= +fi +ac_test_CFLAGS=${CFLAGS+set} +ac_save_CFLAGS=$CFLAGS +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking whether $CC accepts -g" >&5 +$as_echo_n "checking whether $CC accepts -g... " >&6; } +if test "${ac_cv_prog_cc_g+set}" = set; then : + $as_echo_n "(cached) " >&6 +else + ac_save_c_werror_flag=$ac_c_werror_flag + ac_c_werror_flag=yes + ac_cv_prog_cc_g=no + CFLAGS="-g" + cat confdefs.h - <<_ACEOF >conftest.$ac_ext +/* end confdefs.h. */ + +int +main () +{ + + ; + return 0; +} +_ACEOF +if ac_fn_c_try_compile "$LINENO"; then : + ac_cv_prog_cc_g=yes +else + CFLAGS="" + cat confdefs.h - <<_ACEOF >conftest.$ac_ext +/* end confdefs.h. */ + +int +main () +{ + + ; + return 0; +} +_ACEOF +if ac_fn_c_try_compile "$LINENO"; then : + +else + ac_c_werror_flag=$ac_save_c_werror_flag + CFLAGS="-g" + cat confdefs.h - <<_ACEOF >conftest.$ac_ext +/* end confdefs.h. */ + +int +main () +{ + + ; + return 0; +} +_ACEOF +if ac_fn_c_try_compile "$LINENO"; then : + ac_cv_prog_cc_g=yes +fi +rm -f core conftest.err conftest.$ac_objext conftest.$ac_ext +fi +rm -f core conftest.err conftest.$ac_objext conftest.$ac_ext +fi +rm -f core conftest.err conftest.$ac_objext conftest.$ac_ext + ac_c_werror_flag=$ac_save_c_werror_flag +fi +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $ac_cv_prog_cc_g" >&5 +$as_echo "$ac_cv_prog_cc_g" >&6; } +if test "$ac_test_CFLAGS" = set; then + CFLAGS=$ac_save_CFLAGS +elif test $ac_cv_prog_cc_g = yes; then + if test "$GCC" = yes; then + CFLAGS="-g -O2" + else + CFLAGS="-g" + fi +else + if test "$GCC" = yes; then + CFLAGS="-O2" + else + CFLAGS= + fi +fi +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking for $CC option to accept ISO C89" >&5 +$as_echo_n "checking for $CC option to accept ISO C89... " >&6; } +if test "${ac_cv_prog_cc_c89+set}" = set; then : + $as_echo_n "(cached) " >&6 +else + ac_cv_prog_cc_c89=no +ac_save_CC=$CC +cat confdefs.h - <<_ACEOF >conftest.$ac_ext +/* end confdefs.h. */ +#include <stdarg.h> +#include <stdio.h> +#include <sys/types.h> +#include <sys/stat.h> +/* Most of the following tests are stolen from RCS 5.7's src/conf.sh. */ +struct buf { int x; }; +FILE * (*rcsopen) (struct buf *, struct stat *, int); +static char *e (p, i) + char **p; + int i; +{ + return p[i]; +} +static char *f (char * (*g) (char **, int), char **p, ...) +{ + char *s; + va_list v; + va_start (v,p); + s = g (p, va_arg (v,int)); + va_end (v); + return s; +} + +/* OSF 4.0 Compaq cc is some sort of almost-ANSI by default. It has + function prototypes and stuff, but not '\xHH' hex character constants. + These don't provoke an error unfortunately, instead are silently treated + as 'x'. The following induces an error, until -std is added to get + proper ANSI mode. Curiously '\x00'!='x' always comes out true, for an + array size at least. It's necessary to write '\x00'==0 to get something + that's true only with -std. */ +int osf4_cc_array ['\x00' == 0 ? 1 : -1]; + +/* IBM C 6 for AIX is almost-ANSI by default, but it replaces macro parameters + inside strings and character constants. */ +#define FOO(x) 'x' +int xlc6_cc_array[FOO(a) == 'x' ? 1 : -1]; + +int test (int i, double x); +struct s1 {int (*f) (int a);}; +struct s2 {int (*f) (double a);}; +int pairnames (int, char **, FILE *(*)(struct buf *, struct stat *, int), int, int); +int argc; +char **argv; +int +main () +{ +return f (e, argv, 0) != argv[0] || f (e, argv, 1) != argv[1]; + ; + return 0; +} +_ACEOF +for ac_arg in '' -qlanglvl=extc89 -qlanglvl=ansi -std \ + -Ae "-Aa -D_HPUX_SOURCE" "-Xc -D__EXTENSIONS__" +do + CC="$ac_save_CC $ac_arg" + if ac_fn_c_try_compile "$LINENO"; then : + ac_cv_prog_cc_c89=$ac_arg +fi +rm -f core conftest.err conftest.$ac_objext + test "x$ac_cv_prog_cc_c89" != "xno" && break +done +rm -f conftest.$ac_ext +CC=$ac_save_CC + +fi +# AC_CACHE_VAL +case "x$ac_cv_prog_cc_c89" in + x) + { $as_echo "$as_me:${as_lineno-$LINENO}: result: none needed" >&5 +$as_echo "none needed" >&6; } ;; + xno) + { $as_echo "$as_me:${as_lineno-$LINENO}: result: unsupported" >&5 +$as_echo "unsupported" >&6; } ;; + *) + CC="$CC $ac_cv_prog_cc_c89" + { $as_echo "$as_me:${as_lineno-$LINENO}: result: $ac_cv_prog_cc_c89" >&5 +$as_echo "$ac_cv_prog_cc_c89" >&6; } ;; +esac +if test "x$ac_cv_prog_cc_c89" != xno; then : + +fi + +ac_ext=c +ac_cpp='$CPP $CPPFLAGS' +ac_compile='$CC -c $CFLAGS $CPPFLAGS conftest.$ac_ext >&5' +ac_link='$CC -o conftest$ac_exeext $CFLAGS $CPPFLAGS $LDFLAGS conftest.$ac_ext $LIBS >&5' +ac_compiler_gnu=$ac_cv_c_compiler_gnu + +depcc="$CC" am_compiler_list= + +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking dependency style of $depcc" >&5 +$as_echo_n "checking dependency style of $depcc... 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For instance + # both Tru64's cc and ICC support -MD to output dependencies as a + # side effect of compilation, but ICC will put the dependencies in + # the current directory while Tru64 will put them in the object + # directory. + mkdir sub + + am_cv_CC_dependencies_compiler_type=none + if test "$am_compiler_list" = ""; then + am_compiler_list=`sed -n 's/^#*\([a-zA-Z0-9]*\))$/\1/p' < ./depcomp` + fi + am__universal=false + case " $depcc " in #( + *\ -arch\ *\ -arch\ *) am__universal=true ;; + esac + + for depmode in $am_compiler_list; do + # Setup a source with many dependencies, because some compilers + # like to wrap large dependency lists on column 80 (with \), and + # we should not choose a depcomp mode which is confused by this. + # + # We need to recreate these files for each test, as the compiler may + # overwrite some of them when testing with obscure command lines. + # This happens at least with the AIX C compiler. + : > sub/conftest.c + for i in 1 2 3 4 5 6; do + echo '#include "conftst'$i'.h"' >> sub/conftest.c + # Using `: > sub/conftst$i.h' creates only sub/conftst1.h with + # Solaris 8's {/usr,}/bin/sh. + touch sub/conftst$i.h + done + echo "${am__include} ${am__quote}sub/conftest.Po${am__quote}" > confmf + + # We check with `-c' and `-o' for the sake of the "dashmstdout" + # mode. It turns out that the SunPro C++ compiler does not properly + # handle `-M -o', and we need to detect this. Also, some Intel + # versions had trouble with output in subdirs + am__obj=sub/conftest.${OBJEXT-o} + am__minus_obj="-o $am__obj" + case $depmode in + gcc) + # This depmode causes a compiler race in universal mode. + test "$am__universal" = false || continue + ;; + nosideeffect) + # after this tag, mechanisms are not by side-effect, so they'll + # only be used when explicitly requested + if test "x$enable_dependency_tracking" = xyes; then + continue + else + break + fi + ;; + msvisualcpp | msvcmsys) + # This compiler won't grok `-c -o', but also, the minuso test has + # not run yet. These depmodes are late enough in the game, and + # so weak that their functioning should not be impacted. + am__obj=conftest.${OBJEXT-o} + am__minus_obj= + ;; + none) break ;; + esac + if depmode=$depmode \ + source=sub/conftest.c object=$am__obj \ + depfile=sub/conftest.Po tmpdepfile=sub/conftest.TPo \ + $SHELL ./depcomp $depcc -c $am__minus_obj sub/conftest.c \ + >/dev/null 2>conftest.err && + grep sub/conftst1.h sub/conftest.Po > /dev/null 2>&1 && + grep sub/conftst6.h sub/conftest.Po > /dev/null 2>&1 && + grep $am__obj sub/conftest.Po > /dev/null 2>&1 && + ${MAKE-make} -s -f confmf > /dev/null 2>&1; then + # icc doesn't choke on unknown options, it will just issue warnings + # or remarks (even with -Werror). So we grep stderr for any message + # that says an option was ignored or not supported. + # When given -MP, icc 7.0 and 7.1 complain thusly: + # icc: Command line warning: ignoring option '-M'; no argument required + # The diagnosis changed in icc 8.0: + # icc: Command line remark: option '-MP' not supported + if (grep 'ignoring option' conftest.err || + grep 'not supported' conftest.err) >/dev/null 2>&1; then :; else + am_cv_CC_dependencies_compiler_type=$depmode + break + fi + fi + done + + cd .. + rm -rf conftest.dir +else + am_cv_CC_dependencies_compiler_type=none +fi + +fi +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $am_cv_CC_dependencies_compiler_type" >&5 +$as_echo "$am_cv_CC_dependencies_compiler_type" >&6; } +CCDEPMODE=depmode=$am_cv_CC_dependencies_compiler_type + + if + test "x$enable_dependency_tracking" != xno \ + && test "$am_cv_CC_dependencies_compiler_type" = gcc3; then + am__fastdepCC_TRUE= + am__fastdepCC_FALSE='#' +else + am__fastdepCC_TRUE='#' + am__fastdepCC_FALSE= +fi + + + +ac_ext=c +ac_cpp='$CPP $CPPFLAGS' +ac_compile='$CC -c $CFLAGS $CPPFLAGS conftest.$ac_ext >&5' +ac_link='$CC -o conftest$ac_exeext $CFLAGS $CPPFLAGS $LDFLAGS conftest.$ac_ext $LIBS >&5' +ac_compiler_gnu=$ac_cv_c_compiler_gnu +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking how to run the C preprocessor" >&5 +$as_echo_n "checking how to run the C preprocessor... 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Now check whether nonexistent headers + # can be detected and how. + cat confdefs.h - <<_ACEOF >conftest.$ac_ext +/* end confdefs.h. */ +#include <ac_nonexistent.h> +_ACEOF +if ac_fn_c_try_cpp "$LINENO"; then : + # Broken: success on invalid input. +continue +else + # Passes both tests. +ac_preproc_ok=: +break +fi +rm -f conftest.err conftest.$ac_ext + +done +# Because of `break', _AC_PREPROC_IFELSE's cleaning code was skipped. +rm -f conftest.err conftest.$ac_ext +if $ac_preproc_ok; then : + break +fi + + done + ac_cv_prog_CPP=$CPP + +fi + CPP=$ac_cv_prog_CPP +else + ac_cv_prog_CPP=$CPP +fi +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $CPP" >&5 +$as_echo "$CPP" >&6; } +ac_preproc_ok=false +for ac_c_preproc_warn_flag in '' yes +do + # Use a header file that comes with gcc, so configuring glibc + # with a fresh cross-compiler works. + # Prefer <limits.h> to <assert.h> if __STDC__ is defined, since + # <limits.h> exists even on freestanding compilers. + # On the NeXT, cc -E runs the code through the compiler's parser, + # not just through cpp. "Syntax error" is here to catch this case. + cat confdefs.h - <<_ACEOF >conftest.$ac_ext +/* end confdefs.h. */ +#ifdef __STDC__ +# include <limits.h> +#else +# include <assert.h> +#endif + Syntax error +_ACEOF +if ac_fn_c_try_cpp "$LINENO"; then : + +else + # Broken: fails on valid input. +continue +fi +rm -f conftest.err conftest.$ac_ext + + # OK, works on sane cases. Now check whether nonexistent headers + # can be detected and how. + cat confdefs.h - <<_ACEOF >conftest.$ac_ext +/* end confdefs.h. */ +#include <ac_nonexistent.h> +_ACEOF +if ac_fn_c_try_cpp "$LINENO"; then : + # Broken: success on invalid input. +continue +else + # Passes both tests. +ac_preproc_ok=: +break +fi +rm -f conftest.err conftest.$ac_ext + +done +# Because of `break', _AC_PREPROC_IFELSE's cleaning code was skipped. +rm -f conftest.err conftest.$ac_ext +if $ac_preproc_ok; then : + +else + { { $as_echo "$as_me:${as_lineno-$LINENO}: error: in \`$ac_pwd':" >&5 +$as_echo "$as_me: error: in \`$ac_pwd':" >&2;} +as_fn_error "C preprocessor \"$CPP\" fails sanity check +See \`config.log' for more details." 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" >&6; } +if test "${ac_cv_path_GREP+set}" = set; then : + $as_echo_n "(cached) " >&6 +else + if test -z "$GREP"; then + ac_path_GREP_found=false + # Loop through the user's path and test for each of PROGNAME-LIST + as_save_IFS=$IFS; IFS=$PATH_SEPARATOR +for as_dir in $PATH$PATH_SEPARATOR/usr/xpg4/bin +do + IFS=$as_save_IFS + test -z "$as_dir" && as_dir=. + for ac_prog in grep ggrep; do + for ac_exec_ext in '' $ac_executable_extensions; do + ac_path_GREP="$as_dir/$ac_prog$ac_exec_ext" + { test -f "$ac_path_GREP" && $as_test_x "$ac_path_GREP"; } || continue +# Check for GNU ac_path_GREP and select it if it is found. + # Check for GNU $ac_path_GREP +case `"$ac_path_GREP" --version 2>&1` in +*GNU*) + ac_cv_path_GREP="$ac_path_GREP" ac_path_GREP_found=:;; +*) + ac_count=0 + $as_echo_n 0123456789 >"conftest.in" + while : + do + cat "conftest.in" "conftest.in" >"conftest.tmp" + mv "conftest.tmp" "conftest.in" + cp "conftest.in" "conftest.nl" + $as_echo 'GREP' >> "conftest.nl" + "$ac_path_GREP" -e 'GREP$' -e '-(cannot match)-' < "conftest.nl" >"conftest.out" 2>/dev/null || break + diff "conftest.out" "conftest.nl" >/dev/null 2>&1 || break + as_fn_arith $ac_count + 1 && ac_count=$as_val + if test $ac_count -gt ${ac_path_GREP_max-0}; then + # Best one so far, save it but keep looking for a better one + ac_cv_path_GREP="$ac_path_GREP" + ac_path_GREP_max=$ac_count + fi + # 10*(2^10) chars as input seems more than enough + test $ac_count -gt 10 && break + done + rm -f conftest.in conftest.tmp conftest.nl conftest.out;; +esac + + $ac_path_GREP_found && break 3 + done + done + done +IFS=$as_save_IFS + if test -z "$ac_cv_path_GREP"; then + as_fn_error "no acceptable grep could be found in $PATH$PATH_SEPARATOR/usr/xpg4/bin" "$LINENO" 5 + fi +else + ac_cv_path_GREP=$GREP +fi + +fi +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $ac_cv_path_GREP" >&5 +$as_echo "$ac_cv_path_GREP" >&6; } + GREP="$ac_cv_path_GREP" + + +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking for egrep" >&5 +$as_echo_n "checking for egrep... " >&6; } +if test "${ac_cv_path_EGREP+set}" = set; then : + $as_echo_n "(cached) " >&6 +else + if echo a | $GREP -E '(a|b)' >/dev/null 2>&1 + then ac_cv_path_EGREP="$GREP -E" + else + if test -z "$EGREP"; then + ac_path_EGREP_found=false + # Loop through the user's path and test for each of PROGNAME-LIST + as_save_IFS=$IFS; IFS=$PATH_SEPARATOR +for as_dir in $PATH$PATH_SEPARATOR/usr/xpg4/bin +do + IFS=$as_save_IFS + test -z "$as_dir" && as_dir=. + for ac_prog in egrep; do + for ac_exec_ext in '' $ac_executable_extensions; do + ac_path_EGREP="$as_dir/$ac_prog$ac_exec_ext" + { test -f "$ac_path_EGREP" && $as_test_x "$ac_path_EGREP"; } || continue +# Check for GNU ac_path_EGREP and select it if it is found. + # Check for GNU $ac_path_EGREP +case `"$ac_path_EGREP" --version 2>&1` in +*GNU*) + ac_cv_path_EGREP="$ac_path_EGREP" ac_path_EGREP_found=:;; +*) + ac_count=0 + $as_echo_n 0123456789 >"conftest.in" + while : + do + cat "conftest.in" "conftest.in" >"conftest.tmp" + mv "conftest.tmp" "conftest.in" + cp "conftest.in" "conftest.nl" + $as_echo 'EGREP' >> "conftest.nl" + "$ac_path_EGREP" 'EGREP$' < "conftest.nl" >"conftest.out" 2>/dev/null || break + diff "conftest.out" "conftest.nl" >/dev/null 2>&1 || break + as_fn_arith $ac_count + 1 && ac_count=$as_val + if test $ac_count -gt ${ac_path_EGREP_max-0}; then + # Best one so far, save it but keep looking for a better one + ac_cv_path_EGREP="$ac_path_EGREP" + ac_path_EGREP_max=$ac_count + fi + # 10*(2^10) chars as input seems more than enough + test $ac_count -gt 10 && break + done + rm -f conftest.in conftest.tmp conftest.nl conftest.out;; +esac + + $ac_path_EGREP_found && break 3 + done + done + done +IFS=$as_save_IFS + if test -z "$ac_cv_path_EGREP"; then + as_fn_error "no acceptable egrep could be found in $PATH$PATH_SEPARATOR/usr/xpg4/bin" "$LINENO" 5 + fi +else + ac_cv_path_EGREP=$EGREP +fi + + fi +fi +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $ac_cv_path_EGREP" >&5 +$as_echo "$ac_cv_path_EGREP" >&6; } + EGREP="$ac_cv_path_EGREP" + + +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking for ANSI C header files" >&5 +$as_echo_n "checking for ANSI C header files... " >&6; } +if test "${ac_cv_header_stdc+set}" = set; then : + $as_echo_n "(cached) " >&6 +else + cat confdefs.h - <<_ACEOF >conftest.$ac_ext +/* end confdefs.h. */ +#include <stdlib.h> +#include <stdarg.h> +#include <string.h> +#include <float.h> + +int +main () +{ + + ; + return 0; +} +_ACEOF +if ac_fn_c_try_compile "$LINENO"; then : + ac_cv_header_stdc=yes +else + ac_cv_header_stdc=no +fi +rm -f core conftest.err conftest.$ac_objext conftest.$ac_ext + +if test $ac_cv_header_stdc = yes; then + # SunOS 4.x string.h does not declare mem*, contrary to ANSI. + cat confdefs.h - <<_ACEOF >conftest.$ac_ext +/* end confdefs.h. */ +#include <string.h> + +_ACEOF +if (eval "$ac_cpp conftest.$ac_ext") 2>&5 | + $EGREP "memchr" >/dev/null 2>&1; then : + +else + ac_cv_header_stdc=no +fi +rm -f conftest* + +fi + +if test $ac_cv_header_stdc = yes; then + # ISC 2.0.2 stdlib.h does not declare free, contrary to ANSI. + cat confdefs.h - <<_ACEOF >conftest.$ac_ext +/* end confdefs.h. */ +#include <stdlib.h> + +_ACEOF +if (eval "$ac_cpp conftest.$ac_ext") 2>&5 | + $EGREP "free" >/dev/null 2>&1; then : + +else + ac_cv_header_stdc=no +fi +rm -f conftest* + +fi + +if test $ac_cv_header_stdc = yes; then + # /bin/cc in Irix-4.0.5 gets non-ANSI ctype macros unless using -ansi. + if test "$cross_compiling" = yes; then : + : +else + cat confdefs.h - <<_ACEOF >conftest.$ac_ext +/* end confdefs.h. */ +#include <ctype.h> +#include <stdlib.h> +#if ((' ' & 0x0FF) == 0x020) +# define ISLOWER(c) ('a' <= (c) && (c) <= 'z') +# define TOUPPER(c) (ISLOWER(c) ? 'A' + ((c) - 'a') : (c)) +#else +# define ISLOWER(c) \ + (('a' <= (c) && (c) <= 'i') \ + || ('j' <= (c) && (c) <= 'r') \ + || ('s' <= (c) && (c) <= 'z')) +# define TOUPPER(c) (ISLOWER(c) ? ((c) | 0x40) : (c)) +#endif + +#define XOR(e, f) (((e) && !(f)) || (!(e) && (f))) +int +main () +{ + int i; + for (i = 0; i < 256; i++) + if (XOR (islower (i), ISLOWER (i)) + || toupper (i) != TOUPPER (i)) + return 2; + return 0; +} +_ACEOF +if ac_fn_c_try_run "$LINENO"; then : + +else + ac_cv_header_stdc=no +fi +rm -f core *.core core.conftest.* gmon.out bb.out conftest$ac_exeext \ + conftest.$ac_objext conftest.beam conftest.$ac_ext +fi + +fi +fi +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $ac_cv_header_stdc" >&5 +$as_echo "$ac_cv_header_stdc" >&6; } +if test $ac_cv_header_stdc = yes; then + +$as_echo "#define STDC_HEADERS 1" >>confdefs.h + +fi + +# On IRIX 5.3, sys/types and inttypes.h are conflicting. +for ac_header in sys/types.h sys/stat.h stdlib.h string.h memory.h strings.h \ + inttypes.h stdint.h unistd.h +do : + as_ac_Header=`$as_echo "ac_cv_header_$ac_header" | $as_tr_sh` +ac_fn_c_check_header_compile "$LINENO" "$ac_header" "$as_ac_Header" "$ac_includes_default +" +eval as_val=\$$as_ac_Header + if test "x$as_val" = x""yes; then : + cat >>confdefs.h <<_ACEOF +#define `$as_echo "HAVE_$ac_header" | $as_tr_cpp` 1 +_ACEOF + +fi + +done + + + + ac_fn_c_check_header_mongrel "$LINENO" "minix/config.h" "ac_cv_header_minix_config_h" "$ac_includes_default" +if test "x$ac_cv_header_minix_config_h" = x""yes; then : + MINIX=yes +else + MINIX= +fi + + + if test "$MINIX" = yes; then + +$as_echo "#define _POSIX_SOURCE 1" >>confdefs.h + + +$as_echo "#define _POSIX_1_SOURCE 2" >>confdefs.h + + +$as_echo "#define _MINIX 1" >>confdefs.h + + fi + + + { $as_echo "$as_me:${as_lineno-$LINENO}: checking whether it is safe to define __EXTENSIONS__" >&5 +$as_echo_n "checking whether it is safe to define __EXTENSIONS__... " >&6; } +if test "${ac_cv_safe_to_define___extensions__+set}" = set; then : + $as_echo_n "(cached) " >&6 +else + cat confdefs.h - <<_ACEOF >conftest.$ac_ext +/* end confdefs.h. */ + +# define __EXTENSIONS__ 1 + $ac_includes_default +int +main () +{ + + ; + return 0; +} +_ACEOF +if ac_fn_c_try_compile "$LINENO"; then : + ac_cv_safe_to_define___extensions__=yes +else + ac_cv_safe_to_define___extensions__=no +fi +rm -f core conftest.err conftest.$ac_objext conftest.$ac_ext +fi +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $ac_cv_safe_to_define___extensions__" >&5 +$as_echo "$ac_cv_safe_to_define___extensions__" >&6; } + test $ac_cv_safe_to_define___extensions__ = yes && + $as_echo "#define __EXTENSIONS__ 1" >>confdefs.h + + $as_echo "#define _ALL_SOURCE 1" >>confdefs.h + + $as_echo "#define _GNU_SOURCE 1" >>confdefs.h + + $as_echo "#define _POSIX_PTHREAD_SEMANTICS 1" >>confdefs.h + + $as_echo "#define _TANDEM_SOURCE 1" >>confdefs.h + + + +# See if makeinfo has been installed and is modern enough +# that we can use it. + + # Extract the first word of "makeinfo", so it can be a program name with args. +set dummy makeinfo; ac_word=$2 +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking for $ac_word" >&5 +$as_echo_n "checking for $ac_word... " >&6; } +if test "${ac_cv_prog_MAKEINFO+set}" = set; then : + $as_echo_n "(cached) " >&6 +else + if test -n "$MAKEINFO"; then + ac_cv_prog_MAKEINFO="$MAKEINFO" # Let the user override the test. +else +as_save_IFS=$IFS; IFS=$PATH_SEPARATOR +for as_dir in $PATH +do + IFS=$as_save_IFS + test -z "$as_dir" && as_dir=. + for ac_exec_ext in '' $ac_executable_extensions; do + if { test -f "$as_dir/$ac_word$ac_exec_ext" && $as_test_x "$as_dir/$ac_word$ac_exec_ext"; }; then + ac_cv_prog_MAKEINFO="makeinfo" + $as_echo "$as_me:${as_lineno-$LINENO}: found $as_dir/$ac_word$ac_exec_ext" >&5 + break 2 + fi +done + done +IFS=$as_save_IFS + +fi +fi +MAKEINFO=$ac_cv_prog_MAKEINFO +if test -n "$MAKEINFO"; then + { $as_echo "$as_me:${as_lineno-$LINENO}: result: $MAKEINFO" >&5 +$as_echo "$MAKEINFO" >&6; } +else + { $as_echo "$as_me:${as_lineno-$LINENO}: result: no" >&5 +$as_echo "no" >&6; } +fi + + + if test -n "$MAKEINFO"; then + # Found it, now check the version. + { $as_echo "$as_me:${as_lineno-$LINENO}: checking for modern makeinfo" >&5 +$as_echo_n "checking for modern makeinfo... " >&6; } +if test "${gcc_cv_prog_makeinfo_modern+set}" = set; then : + $as_echo_n "(cached) " >&6 +else + ac_prog_version=`eval $MAKEINFO --version 2>&1 | + sed -n 's/^.*GNU texinfo.* \([0-9][0-9.]*\).*$/\1/p'` + + case $ac_prog_version in + '') gcc_cv_prog_makeinfo_modern=no;; + 4.[4-9]*|4.[1-9][0-9]*|[5-9]*|[1-9][0-9]*) gcc_cv_prog_makeinfo_modern=yes;; + *) gcc_cv_prog_makeinfo_modern=no;; + esac + +fi +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $gcc_cv_prog_makeinfo_modern" >&5 +$as_echo "$gcc_cv_prog_makeinfo_modern" >&6; } + else + gcc_cv_prog_makeinfo_modern=no + fi + if test $gcc_cv_prog_makeinfo_modern = no; then + MAKEINFO="${CONFIG_SHELL-/bin/sh} $ac_aux_dir/missing makeinfo" + fi + + if test $gcc_cv_prog_makeinfo_modern = "yes"; then + BUILD_INFO_TRUE= + BUILD_INFO_FALSE='#' +else + BUILD_INFO_TRUE='#' + BUILD_INFO_FALSE= +fi + + + + +# Check whether --with-bugurl was given. +if test "${with_bugurl+set}" = set; then : + withval=$with_bugurl; case "$withval" in + yes) as_fn_error "bug URL not specified" "$LINENO" 5 ;; + no) BUGURL= + ;; + *) BUGURL="$withval" + ;; + esac +else + BUGURL="http://gcc.gnu.org/bugs.html" + +fi + + case ${BUGURL} in + "") + REPORT_BUGS_TO= + REPORT_BUGS_TEXI= + ;; + *) + REPORT_BUGS_TO="<$BUGURL>" + REPORT_BUGS_TEXI=@uref{`echo "$BUGURL" | sed 's/@/@@/g'`} + ;; + esac; + + + + +# Configure libtool +case `pwd` in + *\ * | *\ *) + { $as_echo "$as_me:${as_lineno-$LINENO}: WARNING: Libtool does not cope well with whitespace in \`pwd\`" >&5 +$as_echo "$as_me: WARNING: Libtool does not cope well with whitespace in \`pwd\`" >&2;} ;; +esac + + + +macro_version='2.2.7a' +macro_revision='1.3134' + + + + + + + + + + + + + +ltmain="$ac_aux_dir/ltmain.sh" + +# Backslashify metacharacters that are still active within +# double-quoted strings. +sed_quote_subst='s/\(["`$\\]\)/\\\1/g' + +# Same as above, but do not quote variable references. +double_quote_subst='s/\(["`\\]\)/\\\1/g' + +# Sed substitution to delay expansion of an escaped shell variable in a +# double_quote_subst'ed string. +delay_variable_subst='s/\\\\\\\\\\\$/\\\\\\$/g' + +# Sed substitution to delay expansion of an escaped single quote. +delay_single_quote_subst='s/'\''/'\'\\\\\\\'\''/g' + +# Sed substitution to avoid accidental globbing in evaled expressions +no_glob_subst='s/\*/\\\*/g' + +ECHO='\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\' +ECHO=$ECHO$ECHO$ECHO$ECHO$ECHO +ECHO=$ECHO$ECHO$ECHO$ECHO$ECHO$ECHO + +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking how to print strings" >&5 +$as_echo_n "checking how to print strings... " >&6; } +# Test print first, because it will be a builtin if present. +if test "X`print -r -- -n 2>/dev/null`" = X-n && \ + test "X`print -r -- $ECHO 2>/dev/null`" = "X$ECHO"; then + ECHO='print -r --' +elif test "X`printf %s $ECHO 2>/dev/null`" = "X$ECHO"; then + ECHO='printf %s\n' +else + # Use this function as a fallback that always works. + func_fallback_echo () + { + eval 'cat <<_LTECHO_EOF +$1 +_LTECHO_EOF' + } + ECHO='func_fallback_echo' +fi + +# func_echo_all arg... +# Invoke $ECHO with all args, space-separated. +func_echo_all () +{ + $ECHO "" +} + +case "$ECHO" in + printf*) { $as_echo "$as_me:${as_lineno-$LINENO}: result: printf" >&5 +$as_echo "printf" >&6; } ;; + print*) { $as_echo "$as_me:${as_lineno-$LINENO}: result: print -r" >&5 +$as_echo "print -r" >&6; } ;; + *) { $as_echo "$as_me:${as_lineno-$LINENO}: result: cat" >&5 +$as_echo "cat" >&6; } ;; +esac + + + + + + + + + + + + + + +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking for a sed that does not truncate output" >&5 +$as_echo_n "checking for a sed that does not truncate output... " >&6; } +if test "${ac_cv_path_SED+set}" = set; then : + $as_echo_n "(cached) " >&6 +else + ac_script=s/aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa/bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb/ + for ac_i in 1 2 3 4 5 6 7; do + ac_script="$ac_script$as_nl$ac_script" + done + echo "$ac_script" 2>/dev/null | sed 99q >conftest.sed + { ac_script=; unset ac_script;} + if test -z "$SED"; then + ac_path_SED_found=false + # Loop through the user's path and test for each of PROGNAME-LIST + as_save_IFS=$IFS; IFS=$PATH_SEPARATOR +for as_dir in $PATH +do + IFS=$as_save_IFS + test -z "$as_dir" && as_dir=. + for ac_prog in sed gsed; do + for ac_exec_ext in '' $ac_executable_extensions; do + ac_path_SED="$as_dir/$ac_prog$ac_exec_ext" + { test -f "$ac_path_SED" && $as_test_x "$ac_path_SED"; } || continue +# Check for GNU ac_path_SED and select it if it is found. + # Check for GNU $ac_path_SED +case `"$ac_path_SED" --version 2>&1` in +*GNU*) + ac_cv_path_SED="$ac_path_SED" ac_path_SED_found=:;; +*) + ac_count=0 + $as_echo_n 0123456789 >"conftest.in" + while : + do + cat "conftest.in" "conftest.in" >"conftest.tmp" + mv "conftest.tmp" "conftest.in" + cp "conftest.in" "conftest.nl" + $as_echo '' >> "conftest.nl" + "$ac_path_SED" -f conftest.sed < "conftest.nl" >"conftest.out" 2>/dev/null || break + diff "conftest.out" "conftest.nl" >/dev/null 2>&1 || break + as_fn_arith $ac_count + 1 && ac_count=$as_val + if test $ac_count -gt ${ac_path_SED_max-0}; then + # Best one so far, save it but keep looking for a better one + ac_cv_path_SED="$ac_path_SED" + ac_path_SED_max=$ac_count + fi + # 10*(2^10) chars as input seems more than enough + test $ac_count -gt 10 && break + done + rm -f conftest.in conftest.tmp conftest.nl conftest.out;; +esac + + $ac_path_SED_found && break 3 + done + done + done +IFS=$as_save_IFS + if test -z "$ac_cv_path_SED"; then + as_fn_error "no acceptable sed could be found in \$PATH" "$LINENO" 5 + fi +else + ac_cv_path_SED=$SED +fi + +fi +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $ac_cv_path_SED" >&5 +$as_echo "$ac_cv_path_SED" >&6; } + SED="$ac_cv_path_SED" + rm -f conftest.sed + +test -z "$SED" && SED=sed +Xsed="$SED -e 1s/^X//" + + + + + + + + + + + +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking for fgrep" >&5 +$as_echo_n "checking for fgrep... " >&6; } +if test "${ac_cv_path_FGREP+set}" = set; then : + $as_echo_n "(cached) " >&6 +else + if echo 'ab*c' | $GREP -F 'ab*c' >/dev/null 2>&1 + then ac_cv_path_FGREP="$GREP -F" + else + if test -z "$FGREP"; then + ac_path_FGREP_found=false + # Loop through the user's path and test for each of PROGNAME-LIST + as_save_IFS=$IFS; IFS=$PATH_SEPARATOR +for as_dir in $PATH$PATH_SEPARATOR/usr/xpg4/bin +do + IFS=$as_save_IFS + test -z "$as_dir" && as_dir=. + for ac_prog in fgrep; do + for ac_exec_ext in '' $ac_executable_extensions; do + ac_path_FGREP="$as_dir/$ac_prog$ac_exec_ext" + { test -f "$ac_path_FGREP" && $as_test_x "$ac_path_FGREP"; } || continue +# Check for GNU ac_path_FGREP and select it if it is found. + # Check for GNU $ac_path_FGREP +case `"$ac_path_FGREP" --version 2>&1` in +*GNU*) + ac_cv_path_FGREP="$ac_path_FGREP" ac_path_FGREP_found=:;; +*) + ac_count=0 + $as_echo_n 0123456789 >"conftest.in" + while : + do + cat "conftest.in" "conftest.in" >"conftest.tmp" + mv "conftest.tmp" "conftest.in" + cp "conftest.in" "conftest.nl" + $as_echo 'FGREP' >> "conftest.nl" + "$ac_path_FGREP" FGREP < "conftest.nl" >"conftest.out" 2>/dev/null || break + diff "conftest.out" "conftest.nl" >/dev/null 2>&1 || break + as_fn_arith $ac_count + 1 && ac_count=$as_val + if test $ac_count -gt ${ac_path_FGREP_max-0}; then + # Best one so far, save it but keep looking for a better one + ac_cv_path_FGREP="$ac_path_FGREP" + ac_path_FGREP_max=$ac_count + fi + # 10*(2^10) chars as input seems more than enough + test $ac_count -gt 10 && break + done + rm -f conftest.in conftest.tmp conftest.nl conftest.out;; +esac + + $ac_path_FGREP_found && break 3 + done + done + done +IFS=$as_save_IFS + if test -z "$ac_cv_path_FGREP"; then + as_fn_error "no acceptable fgrep could be found in $PATH$PATH_SEPARATOR/usr/xpg4/bin" "$LINENO" 5 + fi +else + ac_cv_path_FGREP=$FGREP +fi + + fi +fi +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $ac_cv_path_FGREP" >&5 +$as_echo "$ac_cv_path_FGREP" >&6; } + FGREP="$ac_cv_path_FGREP" + + +test -z "$GREP" && GREP=grep + + + + + + + + + + + + + + + + + + + +# Check whether --with-gnu-ld was given. +if test "${with_gnu_ld+set}" = set; then : + withval=$with_gnu_ld; test "$withval" = no || with_gnu_ld=yes +else + with_gnu_ld=no +fi + +ac_prog=ld +if test "$GCC" = yes; then + # Check if gcc -print-prog-name=ld gives a path. + { $as_echo "$as_me:${as_lineno-$LINENO}: checking for ld used by $CC" >&5 +$as_echo_n "checking for ld used by $CC... " >&6; } + case $host in + *-*-mingw*) + # gcc leaves a trailing carriage return which upsets mingw + ac_prog=`($CC -print-prog-name=ld) 2>&5 | tr -d '\015'` ;; + *) + ac_prog=`($CC -print-prog-name=ld) 2>&5` ;; + esac + case $ac_prog in + # Accept absolute paths. + [\\/]* | ?:[\\/]*) + re_direlt='/[^/][^/]*/\.\./' + # Canonicalize the pathname of ld + ac_prog=`$ECHO "$ac_prog"| $SED 's%\\\\%/%g'` + while $ECHO "$ac_prog" | $GREP "$re_direlt" > /dev/null 2>&1; do + ac_prog=`$ECHO $ac_prog| $SED "s%$re_direlt%/%"` + done + test -z "$LD" && LD="$ac_prog" + ;; + "") + # If it fails, then pretend we aren't using GCC. + ac_prog=ld + ;; + *) + # If it is relative, then search for the first ld in PATH. + with_gnu_ld=unknown + ;; + esac +elif test "$with_gnu_ld" = yes; then + { $as_echo "$as_me:${as_lineno-$LINENO}: checking for GNU ld" >&5 +$as_echo_n "checking for GNU ld... " >&6; } +else + { $as_echo "$as_me:${as_lineno-$LINENO}: checking for non-GNU ld" >&5 +$as_echo_n "checking for non-GNU ld... " >&6; } +fi +if test "${lt_cv_path_LD+set}" = set; then : + $as_echo_n "(cached) " >&6 +else + if test -z "$LD"; then + lt_save_ifs="$IFS"; IFS=$PATH_SEPARATOR + for ac_dir in $PATH; do + IFS="$lt_save_ifs" + test -z "$ac_dir" && ac_dir=. + if test -f "$ac_dir/$ac_prog" || test -f "$ac_dir/$ac_prog$ac_exeext"; then + lt_cv_path_LD="$ac_dir/$ac_prog" + # Check to see if the program is GNU ld. I'd rather use --version, + # but apparently some variants of GNU ld only accept -v. + # Break only if it was the GNU/non-GNU ld that we prefer. + case `"$lt_cv_path_LD" -v 2>&1 </dev/null` in + *GNU* | *'with BFD'*) + test "$with_gnu_ld" != no && break + ;; + *) + test "$with_gnu_ld" != yes && break + ;; + esac + fi + done + IFS="$lt_save_ifs" +else + lt_cv_path_LD="$LD" # Let the user override the test with a path. +fi +fi + +LD="$lt_cv_path_LD" +if test -n "$LD"; then + { $as_echo "$as_me:${as_lineno-$LINENO}: result: $LD" >&5 +$as_echo "$LD" >&6; } +else + { $as_echo "$as_me:${as_lineno-$LINENO}: result: no" >&5 +$as_echo "no" >&6; } +fi +test -z "$LD" && as_fn_error "no acceptable ld found in \$PATH" "$LINENO" 5 +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking if the linker ($LD) is GNU ld" >&5 +$as_echo_n "checking if the linker ($LD) is GNU ld... " >&6; } +if test "${lt_cv_prog_gnu_ld+set}" = set; then : + $as_echo_n "(cached) " >&6 +else + # I'd rather use --version here, but apparently some GNU lds only accept -v. +case `$LD -v 2>&1 </dev/null` in +*GNU* | *'with BFD'*) + lt_cv_prog_gnu_ld=yes + ;; +*) + lt_cv_prog_gnu_ld=no + ;; +esac +fi +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $lt_cv_prog_gnu_ld" >&5 +$as_echo "$lt_cv_prog_gnu_ld" >&6; } +with_gnu_ld=$lt_cv_prog_gnu_ld + + + + + + + + + +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking for BSD- or MS-compatible name lister (nm)" >&5 +$as_echo_n "checking for BSD- or MS-compatible name lister (nm)... " >&6; } +if test "${lt_cv_path_NM+set}" = set; then : + $as_echo_n "(cached) " >&6 +else + if test -n "$NM"; then + # Let the user override the test. + lt_cv_path_NM="$NM" +else + lt_nm_to_check="${ac_tool_prefix}nm" + if test -n "$ac_tool_prefix" && test "$build" = "$host"; then + lt_nm_to_check="$lt_nm_to_check nm" + fi + for lt_tmp_nm in $lt_nm_to_check; do + lt_save_ifs="$IFS"; IFS=$PATH_SEPARATOR + for ac_dir in $PATH /usr/ccs/bin/elf /usr/ccs/bin /usr/ucb /bin; do + IFS="$lt_save_ifs" + test -z "$ac_dir" && ac_dir=. + tmp_nm="$ac_dir/$lt_tmp_nm" + if test -f "$tmp_nm" || test -f "$tmp_nm$ac_exeext" ; then + # Check to see if the nm accepts a BSD-compat flag. + # Adding the `sed 1q' prevents false positives on HP-UX, which says: + # nm: unknown option "B" ignored + # Tru64's nm complains that /dev/null is an invalid object file + case `"$tmp_nm" -B /dev/null 2>&1 | sed '1q'` in + */dev/null* | *'Invalid file or object type'*) + lt_cv_path_NM="$tmp_nm -B" + break + ;; + *) + case `"$tmp_nm" -p /dev/null 2>&1 | sed '1q'` in + */dev/null*) + lt_cv_path_NM="$tmp_nm -p" + break + ;; + *) + lt_cv_path_NM=${lt_cv_path_NM="$tmp_nm"} # keep the first match, but + continue # so that we can try to find one that supports BSD flags + ;; + esac + ;; + esac + fi + done + IFS="$lt_save_ifs" + done + : ${lt_cv_path_NM=no} +fi +fi +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $lt_cv_path_NM" >&5 +$as_echo "$lt_cv_path_NM" >&6; } +if test "$lt_cv_path_NM" != "no"; then + NM="$lt_cv_path_NM" +else + # Didn't find any BSD compatible name lister, look for dumpbin. + if test -n "$DUMPBIN"; then : + # Let the user override the test. + else + if test -n "$ac_tool_prefix"; then + for ac_prog in dumpbin "link -dump" + do + # Extract the first word of "$ac_tool_prefix$ac_prog", so it can be a program name with args. +set dummy $ac_tool_prefix$ac_prog; ac_word=$2 +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking for $ac_word" >&5 +$as_echo_n "checking for $ac_word... " >&6; } +if test "${ac_cv_prog_DUMPBIN+set}" = set; then : + $as_echo_n "(cached) " >&6 +else + if test -n "$DUMPBIN"; then + ac_cv_prog_DUMPBIN="$DUMPBIN" # Let the user override the test. +else +as_save_IFS=$IFS; IFS=$PATH_SEPARATOR +for as_dir in $PATH +do + IFS=$as_save_IFS + test -z "$as_dir" && as_dir=. + for ac_exec_ext in '' $ac_executable_extensions; do + if { test -f "$as_dir/$ac_word$ac_exec_ext" && $as_test_x "$as_dir/$ac_word$ac_exec_ext"; }; then + ac_cv_prog_DUMPBIN="$ac_tool_prefix$ac_prog" + $as_echo "$as_me:${as_lineno-$LINENO}: found $as_dir/$ac_word$ac_exec_ext" >&5 + break 2 + fi +done + done +IFS=$as_save_IFS + +fi +fi +DUMPBIN=$ac_cv_prog_DUMPBIN +if test -n "$DUMPBIN"; then + { $as_echo "$as_me:${as_lineno-$LINENO}: result: $DUMPBIN" >&5 +$as_echo "$DUMPBIN" >&6; } +else + { $as_echo "$as_me:${as_lineno-$LINENO}: result: no" >&5 +$as_echo "no" >&6; } +fi + + + test -n "$DUMPBIN" && break + done +fi +if test -z "$DUMPBIN"; then + ac_ct_DUMPBIN=$DUMPBIN + for ac_prog in dumpbin "link -dump" +do + # Extract the first word of "$ac_prog", so it can be a program name with args. +set dummy $ac_prog; ac_word=$2 +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking for $ac_word" >&5 +$as_echo_n "checking for $ac_word... " >&6; } +if test "${ac_cv_prog_ac_ct_DUMPBIN+set}" = set; then : + $as_echo_n "(cached) " >&6 +else + if test -n "$ac_ct_DUMPBIN"; then + ac_cv_prog_ac_ct_DUMPBIN="$ac_ct_DUMPBIN" # Let the user override the test. +else +as_save_IFS=$IFS; IFS=$PATH_SEPARATOR +for as_dir in $PATH +do + IFS=$as_save_IFS + test -z "$as_dir" && as_dir=. + for ac_exec_ext in '' $ac_executable_extensions; do + if { test -f "$as_dir/$ac_word$ac_exec_ext" && $as_test_x "$as_dir/$ac_word$ac_exec_ext"; }; then + ac_cv_prog_ac_ct_DUMPBIN="$ac_prog" + $as_echo "$as_me:${as_lineno-$LINENO}: found $as_dir/$ac_word$ac_exec_ext" >&5 + break 2 + fi +done + done +IFS=$as_save_IFS + +fi +fi +ac_ct_DUMPBIN=$ac_cv_prog_ac_ct_DUMPBIN +if test -n "$ac_ct_DUMPBIN"; then + { $as_echo "$as_me:${as_lineno-$LINENO}: result: $ac_ct_DUMPBIN" >&5 +$as_echo "$ac_ct_DUMPBIN" >&6; } +else + { $as_echo "$as_me:${as_lineno-$LINENO}: result: no" >&5 +$as_echo "no" >&6; } +fi + + + test -n "$ac_ct_DUMPBIN" && break +done + + if test "x$ac_ct_DUMPBIN" = x; then + DUMPBIN=":" + else + case $cross_compiling:$ac_tool_warned in +yes:) +{ $as_echo "$as_me:${as_lineno-$LINENO}: WARNING: using cross tools not prefixed with host triplet" >&5 +$as_echo "$as_me: WARNING: using cross tools not prefixed with host triplet" >&2;} +ac_tool_warned=yes ;; +esac + DUMPBIN=$ac_ct_DUMPBIN + fi +fi + + case `$DUMPBIN -symbols /dev/null 2>&1 | sed '1q'` in + *COFF*) + DUMPBIN="$DUMPBIN -symbols" + ;; + *) + DUMPBIN=: + ;; + esac + fi + + if test "$DUMPBIN" != ":"; then + NM="$DUMPBIN" + fi +fi +test -z "$NM" && NM=nm + + + + + + +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking the name lister ($NM) interface" >&5 +$as_echo_n "checking the name lister ($NM) interface... " >&6; } +if test "${lt_cv_nm_interface+set}" = set; then : + $as_echo_n "(cached) " >&6 +else + lt_cv_nm_interface="BSD nm" + echo "int some_variable = 0;" > conftest.$ac_ext + (eval echo "\"\$as_me:$LINENO: $ac_compile\"" >&5) + (eval "$ac_compile" 2>conftest.err) + cat conftest.err >&5 + (eval echo "\"\$as_me:$LINENO: $NM \\\"conftest.$ac_objext\\\"\"" >&5) + (eval "$NM \"conftest.$ac_objext\"" 2>conftest.err > conftest.out) + cat conftest.err >&5 + (eval echo "\"\$as_me:$LINENO: output\"" >&5) + cat conftest.out >&5 + if $GREP 'External.*some_variable' conftest.out > /dev/null; then + lt_cv_nm_interface="MS dumpbin" + fi + rm -f conftest* +fi +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $lt_cv_nm_interface" >&5 +$as_echo "$lt_cv_nm_interface" >&6; } + +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking whether ln -s works" >&5 +$as_echo_n "checking whether ln -s works... " >&6; } +LN_S=$as_ln_s +if test "$LN_S" = "ln -s"; then + { $as_echo "$as_me:${as_lineno-$LINENO}: result: yes" >&5 +$as_echo "yes" >&6; } +else + { $as_echo "$as_me:${as_lineno-$LINENO}: result: no, using $LN_S" >&5 +$as_echo "no, using $LN_S" >&6; } +fi + +# find the maximum length of command line arguments +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking the maximum length of command line arguments" >&5 +$as_echo_n "checking the maximum length of command line arguments... " >&6; } +if test "${lt_cv_sys_max_cmd_len+set}" = set; then : + $as_echo_n "(cached) " >&6 +else + i=0 + teststring="ABCD" + + case $build_os in + msdosdjgpp*) + # On DJGPP, this test can blow up pretty badly due to problems in libc + # (any single argument exceeding 2000 bytes causes a buffer overrun + # during glob expansion). Even if it were fixed, the result of this + # check would be larger than it should be. + lt_cv_sys_max_cmd_len=12288; # 12K is about right + ;; + + gnu*) + # Under GNU Hurd, this test is not required because there is + # no limit to the length of command line arguments. + # Libtool will interpret -1 as no limit whatsoever + lt_cv_sys_max_cmd_len=-1; + ;; + + cygwin* | mingw* | cegcc*) + # On Win9x/ME, this test blows up -- it succeeds, but takes + # about 5 minutes as the teststring grows exponentially. + # Worse, since 9x/ME are not pre-emptively multitasking, + # you end up with a "frozen" computer, even though with patience + # the test eventually succeeds (with a max line length of 256k). + # Instead, let's just punt: use the minimum linelength reported by + # all of the supported platforms: 8192 (on NT/2K/XP). + lt_cv_sys_max_cmd_len=8192; + ;; + + mint*) + # On MiNT this can take a long time and run out of memory. + lt_cv_sys_max_cmd_len=8192; + ;; + + amigaos*) + # On AmigaOS with pdksh, this test takes hours, literally. + # So we just punt and use a minimum line length of 8192. + lt_cv_sys_max_cmd_len=8192; + ;; + + netbsd* | freebsd* | openbsd* | darwin* | dragonfly*) + # This has been around since 386BSD, at least. Likely further. + if test -x /sbin/sysctl; then + lt_cv_sys_max_cmd_len=`/sbin/sysctl -n kern.argmax` + elif test -x /usr/sbin/sysctl; then + lt_cv_sys_max_cmd_len=`/usr/sbin/sysctl -n kern.argmax` + else + lt_cv_sys_max_cmd_len=65536 # usable default for all BSDs + fi + # And add a safety zone + lt_cv_sys_max_cmd_len=`expr $lt_cv_sys_max_cmd_len \/ 4` + lt_cv_sys_max_cmd_len=`expr $lt_cv_sys_max_cmd_len \* 3` + ;; + + interix*) + # We know the value 262144 and hardcode it with a safety zone (like BSD) + lt_cv_sys_max_cmd_len=196608 + ;; + + osf*) + # Dr. Hans Ekkehard Plesser reports seeing a kernel panic running configure + # due to this test when exec_disable_arg_limit is 1 on Tru64. It is not + # nice to cause kernel panics so lets avoid the loop below. + # First set a reasonable default. + lt_cv_sys_max_cmd_len=16384 + # + if test -x /sbin/sysconfig; then + case `/sbin/sysconfig -q proc exec_disable_arg_limit` in + *1*) lt_cv_sys_max_cmd_len=-1 ;; + esac + fi + ;; + sco3.2v5*) + lt_cv_sys_max_cmd_len=102400 + ;; + sysv5* | sco5v6* | sysv4.2uw2*) + kargmax=`grep ARG_MAX /etc/conf/cf.d/stune 2>/dev/null` + if test -n "$kargmax"; then + lt_cv_sys_max_cmd_len=`echo $kargmax | sed 's/.*[ ]//'` + else + lt_cv_sys_max_cmd_len=32768 + fi + ;; + *) + lt_cv_sys_max_cmd_len=`(getconf ARG_MAX) 2> /dev/null` + if test -n "$lt_cv_sys_max_cmd_len"; then + lt_cv_sys_max_cmd_len=`expr $lt_cv_sys_max_cmd_len \/ 4` + lt_cv_sys_max_cmd_len=`expr $lt_cv_sys_max_cmd_len \* 3` + else + # Make teststring a little bigger before we do anything with it. + # a 1K string should be a reasonable start. + for i in 1 2 3 4 5 6 7 8 ; do + teststring=$teststring$teststring + done + SHELL=${SHELL-${CONFIG_SHELL-/bin/sh}} + # If test is not a shell built-in, we'll probably end up computing a + # maximum length that is only half of the actual maximum length, but + # we can't tell. + while { test "X"`func_fallback_echo "$teststring$teststring" 2>/dev/null` \ + = "X$teststring$teststring"; } >/dev/null 2>&1 && + test $i != 17 # 1/2 MB should be enough + do + i=`expr $i + 1` + teststring=$teststring$teststring + done + # Only check the string length outside the loop. + lt_cv_sys_max_cmd_len=`expr "X$teststring" : ".*" 2>&1` + teststring= + # Add a significant safety factor because C++ compilers can tack on + # massive amounts of additional arguments before passing them to the + # linker. It appears as though 1/2 is a usable value. + lt_cv_sys_max_cmd_len=`expr $lt_cv_sys_max_cmd_len \/ 2` + fi + ;; + esac + +fi + +if test -n $lt_cv_sys_max_cmd_len ; then + { $as_echo "$as_me:${as_lineno-$LINENO}: result: $lt_cv_sys_max_cmd_len" >&5 +$as_echo "$lt_cv_sys_max_cmd_len" >&6; } +else + { $as_echo "$as_me:${as_lineno-$LINENO}: result: none" >&5 +$as_echo "none" >&6; } +fi +max_cmd_len=$lt_cv_sys_max_cmd_len + + + + + + +: ${CP="cp -f"} +: ${MV="mv -f"} +: ${RM="rm -f"} + +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking whether the shell understands some XSI constructs" >&5 +$as_echo_n "checking whether the shell understands some XSI constructs... " >&6; } +# Try some XSI features +xsi_shell=no +( _lt_dummy="a/b/c" + test "${_lt_dummy##*/},${_lt_dummy%/*},"${_lt_dummy%"$_lt_dummy"}, \ + = c,a/b,, \ + && eval 'test $(( 1 + 1 )) -eq 2 \ + && test "${#_lt_dummy}" -eq 5' ) >/dev/null 2>&1 \ + && xsi_shell=yes +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $xsi_shell" >&5 +$as_echo "$xsi_shell" >&6; } + + +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking whether the shell understands \"+=\"" >&5 +$as_echo_n "checking whether the shell understands \"+=\"... " >&6; } +lt_shell_append=no +( foo=bar; set foo baz; eval "$1+=\$2" && test "$foo" = barbaz ) \ + >/dev/null 2>&1 \ + && lt_shell_append=yes +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $lt_shell_append" >&5 +$as_echo "$lt_shell_append" >&6; } + + +if ( (MAIL=60; unset MAIL) || exit) >/dev/null 2>&1; then + lt_unset=unset +else + lt_unset=false +fi + + + + + +# test EBCDIC or ASCII +case `echo X|tr X '\101'` in + A) # ASCII based system + # \n is not interpreted correctly by Solaris 8 /usr/ucb/tr + lt_SP2NL='tr \040 \012' + lt_NL2SP='tr \015\012 \040\040' + ;; + *) # EBCDIC based system + lt_SP2NL='tr \100 \n' + lt_NL2SP='tr \r\n \100\100' + ;; +esac + + + + + + + + + +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking for $LD option to reload object files" >&5 +$as_echo_n "checking for $LD option to reload object files... " >&6; } +if test "${lt_cv_ld_reload_flag+set}" = set; then : + $as_echo_n "(cached) " >&6 +else + lt_cv_ld_reload_flag='-r' +fi +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $lt_cv_ld_reload_flag" >&5 +$as_echo "$lt_cv_ld_reload_flag" >&6; } +reload_flag=$lt_cv_ld_reload_flag +case $reload_flag in +"" | " "*) ;; +*) reload_flag=" $reload_flag" ;; +esac +reload_cmds='$LD$reload_flag -o $output$reload_objs' +case $host_os in + darwin*) + if test "$GCC" = yes; then + reload_cmds='$LTCC $LTCFLAGS -nostdlib ${wl}-r -o $output$reload_objs' + else + reload_cmds='$LD$reload_flag -o $output$reload_objs' + fi + ;; +esac + + + + + + + + + +if test -n "$ac_tool_prefix"; then + # Extract the first word of "${ac_tool_prefix}objdump", so it can be a program name with args. +set dummy ${ac_tool_prefix}objdump; ac_word=$2 +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking for $ac_word" >&5 +$as_echo_n "checking for $ac_word... " >&6; } +if test "${ac_cv_prog_OBJDUMP+set}" = set; then : + $as_echo_n "(cached) " >&6 +else + if test -n "$OBJDUMP"; then + ac_cv_prog_OBJDUMP="$OBJDUMP" # Let the user override the test. +else +as_save_IFS=$IFS; IFS=$PATH_SEPARATOR +for as_dir in $PATH +do + IFS=$as_save_IFS + test -z "$as_dir" && as_dir=. + for ac_exec_ext in '' $ac_executable_extensions; do + if { test -f "$as_dir/$ac_word$ac_exec_ext" && $as_test_x "$as_dir/$ac_word$ac_exec_ext"; }; then + ac_cv_prog_OBJDUMP="${ac_tool_prefix}objdump" + $as_echo "$as_me:${as_lineno-$LINENO}: found $as_dir/$ac_word$ac_exec_ext" >&5 + break 2 + fi +done + done +IFS=$as_save_IFS + +fi +fi +OBJDUMP=$ac_cv_prog_OBJDUMP +if test -n "$OBJDUMP"; then + { $as_echo "$as_me:${as_lineno-$LINENO}: result: $OBJDUMP" >&5 +$as_echo "$OBJDUMP" >&6; } +else + { $as_echo "$as_me:${as_lineno-$LINENO}: result: no" >&5 +$as_echo "no" >&6; } +fi + + +fi +if test -z "$ac_cv_prog_OBJDUMP"; then + ac_ct_OBJDUMP=$OBJDUMP + # Extract the first word of "objdump", so it can be a program name with args. +set dummy objdump; ac_word=$2 +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking for $ac_word" >&5 +$as_echo_n "checking for $ac_word... " >&6; } +if test "${ac_cv_prog_ac_ct_OBJDUMP+set}" = set; then : + $as_echo_n "(cached) " >&6 +else + if test -n "$ac_ct_OBJDUMP"; then + ac_cv_prog_ac_ct_OBJDUMP="$ac_ct_OBJDUMP" # Let the user override the test. +else +as_save_IFS=$IFS; IFS=$PATH_SEPARATOR +for as_dir in $PATH +do + IFS=$as_save_IFS + test -z "$as_dir" && as_dir=. + for ac_exec_ext in '' $ac_executable_extensions; do + if { test -f "$as_dir/$ac_word$ac_exec_ext" && $as_test_x "$as_dir/$ac_word$ac_exec_ext"; }; then + ac_cv_prog_ac_ct_OBJDUMP="objdump" + $as_echo "$as_me:${as_lineno-$LINENO}: found $as_dir/$ac_word$ac_exec_ext" >&5 + break 2 + fi +done + done +IFS=$as_save_IFS + +fi +fi +ac_ct_OBJDUMP=$ac_cv_prog_ac_ct_OBJDUMP +if test -n "$ac_ct_OBJDUMP"; then + { $as_echo "$as_me:${as_lineno-$LINENO}: result: $ac_ct_OBJDUMP" >&5 +$as_echo "$ac_ct_OBJDUMP" >&6; } +else + { $as_echo "$as_me:${as_lineno-$LINENO}: result: no" >&5 +$as_echo "no" >&6; } +fi + + if test "x$ac_ct_OBJDUMP" = x; then + OBJDUMP="false" + else + case $cross_compiling:$ac_tool_warned in +yes:) +{ $as_echo "$as_me:${as_lineno-$LINENO}: WARNING: using cross tools not prefixed with host triplet" >&5 +$as_echo "$as_me: WARNING: using cross tools not prefixed with host triplet" >&2;} +ac_tool_warned=yes ;; +esac + OBJDUMP=$ac_ct_OBJDUMP + fi +else + OBJDUMP="$ac_cv_prog_OBJDUMP" +fi + +test -z "$OBJDUMP" && OBJDUMP=objdump + + + + + + + + + +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking how to recognize dependent libraries" >&5 +$as_echo_n "checking how to recognize dependent libraries... " >&6; } +if test "${lt_cv_deplibs_check_method+set}" = set; then : + $as_echo_n "(cached) " >&6 +else + lt_cv_file_magic_cmd='$MAGIC_CMD' +lt_cv_file_magic_test_file= +lt_cv_deplibs_check_method='unknown' +# Need to set the preceding variable on all platforms that support +# interlibrary dependencies. +# 'none' -- dependencies not supported. +# `unknown' -- same as none, but documents that we really don't know. +# 'pass_all' -- all dependencies passed with no checks. +# 'test_compile' -- check by making test program. +# 'file_magic [[regex]]' -- check by looking for files in library path +# which responds to the $file_magic_cmd with a given extended regex. +# If you have `file' or equivalent on your system and you're not sure +# whether `pass_all' will *always* work, you probably want this one. + +case $host_os in +aix[4-9]*) + lt_cv_deplibs_check_method=pass_all + ;; + +beos*) + lt_cv_deplibs_check_method=pass_all + ;; + +bsdi[45]*) + lt_cv_deplibs_check_method='file_magic ELF [0-9][0-9]*-bit [ML]SB (shared object|dynamic lib)' + lt_cv_file_magic_cmd='/usr/bin/file -L' + lt_cv_file_magic_test_file=/shlib/libc.so + ;; + +cygwin*) + # func_win32_libid is a shell function defined in ltmain.sh + lt_cv_deplibs_check_method='file_magic ^x86 archive import|^x86 DLL' + lt_cv_file_magic_cmd='func_win32_libid' + ;; + +mingw* | pw32*) + # Base MSYS/MinGW do not provide the 'file' command needed by + # func_win32_libid shell function, so use a weaker test based on 'objdump', + # unless we find 'file', for example because we are cross-compiling. + # func_win32_libid assumes BSD nm, so disallow it if using MS dumpbin. + if ( test "$lt_cv_nm_interface" = "BSD nm" && file / ) >/dev/null 2>&1; then + lt_cv_deplibs_check_method='file_magic ^x86 archive import|^x86 DLL' + lt_cv_file_magic_cmd='func_win32_libid' + else + lt_cv_deplibs_check_method='file_magic file format pei*-i386(.*architecture: i386)?' + lt_cv_file_magic_cmd='$OBJDUMP -f' + fi + ;; + +cegcc*) + # use the weaker test based on 'objdump'. See mingw*. + lt_cv_deplibs_check_method='file_magic file format pe-arm-.*little(.*architecture: arm)?' + lt_cv_file_magic_cmd='$OBJDUMP -f' + ;; + +darwin* | rhapsody*) + lt_cv_deplibs_check_method=pass_all + ;; + +freebsd* | dragonfly*) + if echo __ELF__ | $CC -E - | $GREP __ELF__ > /dev/null; then + case $host_cpu in + i*86 ) + # Not sure whether the presence of OpenBSD here was a mistake. + # Let's accept both of them until this is cleared up. + lt_cv_deplibs_check_method='file_magic (FreeBSD|OpenBSD|DragonFly)/i[3-9]86 (compact )?demand paged shared library' + lt_cv_file_magic_cmd=/usr/bin/file + lt_cv_file_magic_test_file=`echo /usr/lib/libc.so.*` + ;; + esac + else + lt_cv_deplibs_check_method=pass_all + fi + ;; + +gnu*) + lt_cv_deplibs_check_method=pass_all + ;; + +haiku*) + lt_cv_deplibs_check_method=pass_all + ;; + +hpux10.20* | hpux11*) + lt_cv_file_magic_cmd=/usr/bin/file + case $host_cpu in + ia64*) + lt_cv_deplibs_check_method='file_magic (s[0-9][0-9][0-9]|ELF-[0-9][0-9]) shared object file - IA64' + lt_cv_file_magic_test_file=/usr/lib/hpux32/libc.so + ;; + hppa*64*) + lt_cv_deplibs_check_method='file_magic (s[0-9][0-9][0-9]|ELF[ -][0-9][0-9])(-bit)?( [LM]SB)? shared object( file)?[, -]* PA-RISC [0-9]\.[0-9]' + lt_cv_file_magic_test_file=/usr/lib/pa20_64/libc.sl + ;; + *) + lt_cv_deplibs_check_method='file_magic (s[0-9][0-9][0-9]|PA-RISC[0-9]\.[0-9]) shared library' + lt_cv_file_magic_test_file=/usr/lib/libc.sl + ;; + esac + ;; + +interix[3-9]*) + # PIC code is broken on Interix 3.x, that's why |\.a not |_pic\.a here + lt_cv_deplibs_check_method='match_pattern /lib[^/]+(\.so|\.a)$' + ;; + +irix5* | irix6* | nonstopux*) + case $LD in + *-32|*"-32 ") libmagic=32-bit;; + *-n32|*"-n32 ") libmagic=N32;; + *-64|*"-64 ") libmagic=64-bit;; + *) libmagic=never-match;; + esac + lt_cv_deplibs_check_method=pass_all + ;; + +# This must be Linux ELF. +linux* | k*bsd*-gnu | kopensolaris*-gnu) + lt_cv_deplibs_check_method=pass_all + ;; + +netbsd*) + if echo __ELF__ | $CC -E - | $GREP __ELF__ > /dev/null; then + lt_cv_deplibs_check_method='match_pattern /lib[^/]+(\.so\.[0-9]+\.[0-9]+|_pic\.a)$' + else + lt_cv_deplibs_check_method='match_pattern /lib[^/]+(\.so|_pic\.a)$' + fi + ;; + +newos6*) + lt_cv_deplibs_check_method='file_magic ELF [0-9][0-9]*-bit [ML]SB (executable|dynamic lib)' + lt_cv_file_magic_cmd=/usr/bin/file + lt_cv_file_magic_test_file=/usr/lib/libnls.so + ;; + +*nto* | *qnx*) + lt_cv_deplibs_check_method=pass_all + ;; + +openbsd*) + if test -z "`echo __ELF__ | $CC -E - | $GREP __ELF__`" || test "$host_os-$host_cpu" = "openbsd2.8-powerpc"; then + lt_cv_deplibs_check_method='match_pattern /lib[^/]+(\.so\.[0-9]+\.[0-9]+|\.so|_pic\.a)$' + else + lt_cv_deplibs_check_method='match_pattern /lib[^/]+(\.so\.[0-9]+\.[0-9]+|_pic\.a)$' + fi + ;; + +osf3* | osf4* | osf5*) + lt_cv_deplibs_check_method=pass_all + ;; + +rdos*) + lt_cv_deplibs_check_method=pass_all + ;; + +solaris*) + lt_cv_deplibs_check_method=pass_all + ;; + +sysv5* | sco3.2v5* | sco5v6* | unixware* | OpenUNIX* | sysv4*uw2*) + lt_cv_deplibs_check_method=pass_all + ;; + +sysv4 | sysv4.3*) + case $host_vendor in + motorola) + lt_cv_deplibs_check_method='file_magic ELF [0-9][0-9]*-bit [ML]SB (shared object|dynamic lib) M[0-9][0-9]* Version [0-9]' + lt_cv_file_magic_test_file=`echo /usr/lib/libc.so*` + ;; + ncr) + lt_cv_deplibs_check_method=pass_all + ;; + sequent) + lt_cv_file_magic_cmd='/bin/file' + lt_cv_deplibs_check_method='file_magic ELF [0-9][0-9]*-bit [LM]SB (shared object|dynamic lib )' + ;; + sni) + lt_cv_file_magic_cmd='/bin/file' + lt_cv_deplibs_check_method="file_magic ELF [0-9][0-9]*-bit [LM]SB dynamic lib" + lt_cv_file_magic_test_file=/lib/libc.so + ;; + siemens) + lt_cv_deplibs_check_method=pass_all + ;; + pc) + lt_cv_deplibs_check_method=pass_all + ;; + esac + ;; + +tpf*) + lt_cv_deplibs_check_method=pass_all + ;; +esac + +fi +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $lt_cv_deplibs_check_method" >&5 +$as_echo "$lt_cv_deplibs_check_method" >&6; } +file_magic_cmd=$lt_cv_file_magic_cmd +deplibs_check_method=$lt_cv_deplibs_check_method +test -z "$deplibs_check_method" && deplibs_check_method=unknown + + + + + + + + + + + + +if test -n "$ac_tool_prefix"; then + # Extract the first word of "${ac_tool_prefix}ar", so it can be a program name with args. +set dummy ${ac_tool_prefix}ar; ac_word=$2 +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking for $ac_word" >&5 +$as_echo_n "checking for $ac_word... " >&6; } +if test "${ac_cv_prog_AR+set}" = set; then : + $as_echo_n "(cached) " >&6 +else + if test -n "$AR"; then + ac_cv_prog_AR="$AR" # Let the user override the test. +else +as_save_IFS=$IFS; IFS=$PATH_SEPARATOR +for as_dir in $PATH +do + IFS=$as_save_IFS + test -z "$as_dir" && as_dir=. + for ac_exec_ext in '' $ac_executable_extensions; do + if { test -f "$as_dir/$ac_word$ac_exec_ext" && $as_test_x "$as_dir/$ac_word$ac_exec_ext"; }; then + ac_cv_prog_AR="${ac_tool_prefix}ar" + $as_echo "$as_me:${as_lineno-$LINENO}: found $as_dir/$ac_word$ac_exec_ext" >&5 + break 2 + fi +done + done +IFS=$as_save_IFS + +fi +fi +AR=$ac_cv_prog_AR +if test -n "$AR"; then + { $as_echo "$as_me:${as_lineno-$LINENO}: result: $AR" >&5 +$as_echo "$AR" >&6; } +else + { $as_echo "$as_me:${as_lineno-$LINENO}: result: no" >&5 +$as_echo "no" >&6; } +fi + + +fi +if test -z "$ac_cv_prog_AR"; then + ac_ct_AR=$AR + # Extract the first word of "ar", so it can be a program name with args. +set dummy ar; ac_word=$2 +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking for $ac_word" >&5 +$as_echo_n "checking for $ac_word... " >&6; } +if test "${ac_cv_prog_ac_ct_AR+set}" = set; then : + $as_echo_n "(cached) " >&6 +else + if test -n "$ac_ct_AR"; then + ac_cv_prog_ac_ct_AR="$ac_ct_AR" # Let the user override the test. +else +as_save_IFS=$IFS; IFS=$PATH_SEPARATOR +for as_dir in $PATH +do + IFS=$as_save_IFS + test -z "$as_dir" && as_dir=. + for ac_exec_ext in '' $ac_executable_extensions; do + if { test -f "$as_dir/$ac_word$ac_exec_ext" && $as_test_x "$as_dir/$ac_word$ac_exec_ext"; }; then + ac_cv_prog_ac_ct_AR="ar" + $as_echo "$as_me:${as_lineno-$LINENO}: found $as_dir/$ac_word$ac_exec_ext" >&5 + break 2 + fi +done + done +IFS=$as_save_IFS + +fi +fi +ac_ct_AR=$ac_cv_prog_ac_ct_AR +if test -n "$ac_ct_AR"; then + { $as_echo "$as_me:${as_lineno-$LINENO}: result: $ac_ct_AR" >&5 +$as_echo "$ac_ct_AR" >&6; } +else + { $as_echo "$as_me:${as_lineno-$LINENO}: result: no" >&5 +$as_echo "no" >&6; } +fi + + if test "x$ac_ct_AR" = x; then + AR="false" + else + case $cross_compiling:$ac_tool_warned in +yes:) +{ $as_echo "$as_me:${as_lineno-$LINENO}: WARNING: using cross tools not prefixed with host triplet" >&5 +$as_echo "$as_me: WARNING: using cross tools not prefixed with host triplet" >&2;} +ac_tool_warned=yes ;; +esac + AR=$ac_ct_AR + fi +else + AR="$ac_cv_prog_AR" +fi + +test -z "$AR" && AR=ar +test -z "$AR_FLAGS" && AR_FLAGS=cru + + + + + + + + + + + +if test -n "$ac_tool_prefix"; then + # Extract the first word of "${ac_tool_prefix}strip", so it can be a program name with args. +set dummy ${ac_tool_prefix}strip; ac_word=$2 +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking for $ac_word" >&5 +$as_echo_n "checking for $ac_word... " >&6; } +if test "${ac_cv_prog_STRIP+set}" = set; then : + $as_echo_n "(cached) " >&6 +else + if test -n "$STRIP"; then + ac_cv_prog_STRIP="$STRIP" # Let the user override the test. +else +as_save_IFS=$IFS; IFS=$PATH_SEPARATOR +for as_dir in $PATH +do + IFS=$as_save_IFS + test -z "$as_dir" && as_dir=. + for ac_exec_ext in '' $ac_executable_extensions; do + if { test -f "$as_dir/$ac_word$ac_exec_ext" && $as_test_x "$as_dir/$ac_word$ac_exec_ext"; }; then + ac_cv_prog_STRIP="${ac_tool_prefix}strip" + $as_echo "$as_me:${as_lineno-$LINENO}: found $as_dir/$ac_word$ac_exec_ext" >&5 + break 2 + fi +done + done +IFS=$as_save_IFS + +fi +fi +STRIP=$ac_cv_prog_STRIP +if test -n "$STRIP"; then + { $as_echo "$as_me:${as_lineno-$LINENO}: result: $STRIP" >&5 +$as_echo "$STRIP" >&6; } +else + { $as_echo "$as_me:${as_lineno-$LINENO}: result: no" >&5 +$as_echo "no" >&6; } +fi + + +fi +if test -z "$ac_cv_prog_STRIP"; then + ac_ct_STRIP=$STRIP + # Extract the first word of "strip", so it can be a program name with args. +set dummy strip; ac_word=$2 +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking for $ac_word" >&5 +$as_echo_n "checking for $ac_word... " >&6; } +if test "${ac_cv_prog_ac_ct_STRIP+set}" = set; then : + $as_echo_n "(cached) " >&6 +else + if test -n "$ac_ct_STRIP"; then + ac_cv_prog_ac_ct_STRIP="$ac_ct_STRIP" # Let the user override the test. +else +as_save_IFS=$IFS; IFS=$PATH_SEPARATOR +for as_dir in $PATH +do + IFS=$as_save_IFS + test -z "$as_dir" && as_dir=. + for ac_exec_ext in '' $ac_executable_extensions; do + if { test -f "$as_dir/$ac_word$ac_exec_ext" && $as_test_x "$as_dir/$ac_word$ac_exec_ext"; }; then + ac_cv_prog_ac_ct_STRIP="strip" + $as_echo "$as_me:${as_lineno-$LINENO}: found $as_dir/$ac_word$ac_exec_ext" >&5 + break 2 + fi +done + done +IFS=$as_save_IFS + +fi +fi +ac_ct_STRIP=$ac_cv_prog_ac_ct_STRIP +if test -n "$ac_ct_STRIP"; then + { $as_echo "$as_me:${as_lineno-$LINENO}: result: $ac_ct_STRIP" >&5 +$as_echo "$ac_ct_STRIP" >&6; } +else + { $as_echo "$as_me:${as_lineno-$LINENO}: result: no" >&5 +$as_echo "no" >&6; } +fi + + if test "x$ac_ct_STRIP" = x; then + STRIP=":" + else + case $cross_compiling:$ac_tool_warned in +yes:) +{ $as_echo "$as_me:${as_lineno-$LINENO}: WARNING: using cross tools not prefixed with host triplet" >&5 +$as_echo "$as_me: WARNING: using cross tools not prefixed with host triplet" >&2;} +ac_tool_warned=yes ;; +esac + STRIP=$ac_ct_STRIP + fi +else + STRIP="$ac_cv_prog_STRIP" +fi + +test -z "$STRIP" && STRIP=: + + + + + + +if test -n "$ac_tool_prefix"; then + # Extract the first word of "${ac_tool_prefix}ranlib", so it can be a program name with args. +set dummy ${ac_tool_prefix}ranlib; ac_word=$2 +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking for $ac_word" >&5 +$as_echo_n "checking for $ac_word... " >&6; } +if test "${ac_cv_prog_RANLIB+set}" = set; then : + $as_echo_n "(cached) " >&6 +else + if test -n "$RANLIB"; then + ac_cv_prog_RANLIB="$RANLIB" # Let the user override the test. +else +as_save_IFS=$IFS; IFS=$PATH_SEPARATOR +for as_dir in $PATH +do + IFS=$as_save_IFS + test -z "$as_dir" && as_dir=. + for ac_exec_ext in '' $ac_executable_extensions; do + if { test -f "$as_dir/$ac_word$ac_exec_ext" && $as_test_x "$as_dir/$ac_word$ac_exec_ext"; }; then + ac_cv_prog_RANLIB="${ac_tool_prefix}ranlib" + $as_echo "$as_me:${as_lineno-$LINENO}: found $as_dir/$ac_word$ac_exec_ext" >&5 + break 2 + fi +done + done +IFS=$as_save_IFS + +fi +fi +RANLIB=$ac_cv_prog_RANLIB +if test -n "$RANLIB"; then + { $as_echo "$as_me:${as_lineno-$LINENO}: result: $RANLIB" >&5 +$as_echo "$RANLIB" >&6; } +else + { $as_echo "$as_me:${as_lineno-$LINENO}: result: no" >&5 +$as_echo "no" >&6; } +fi + + +fi +if test -z "$ac_cv_prog_RANLIB"; then + ac_ct_RANLIB=$RANLIB + # Extract the first word of "ranlib", so it can be a program name with args. +set dummy ranlib; ac_word=$2 +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking for $ac_word" >&5 +$as_echo_n "checking for $ac_word... " >&6; } +if test "${ac_cv_prog_ac_ct_RANLIB+set}" = set; then : + $as_echo_n "(cached) " >&6 +else + if test -n "$ac_ct_RANLIB"; then + ac_cv_prog_ac_ct_RANLIB="$ac_ct_RANLIB" # Let the user override the test. +else +as_save_IFS=$IFS; IFS=$PATH_SEPARATOR +for as_dir in $PATH +do + IFS=$as_save_IFS + test -z "$as_dir" && as_dir=. + for ac_exec_ext in '' $ac_executable_extensions; do + if { test -f "$as_dir/$ac_word$ac_exec_ext" && $as_test_x "$as_dir/$ac_word$ac_exec_ext"; }; then + ac_cv_prog_ac_ct_RANLIB="ranlib" + $as_echo "$as_me:${as_lineno-$LINENO}: found $as_dir/$ac_word$ac_exec_ext" >&5 + break 2 + fi +done + done +IFS=$as_save_IFS + +fi +fi +ac_ct_RANLIB=$ac_cv_prog_ac_ct_RANLIB +if test -n "$ac_ct_RANLIB"; then + { $as_echo "$as_me:${as_lineno-$LINENO}: result: $ac_ct_RANLIB" >&5 +$as_echo "$ac_ct_RANLIB" >&6; } +else + { $as_echo "$as_me:${as_lineno-$LINENO}: result: no" >&5 +$as_echo "no" >&6; } +fi + + if test "x$ac_ct_RANLIB" = x; then + RANLIB=":" + else + case $cross_compiling:$ac_tool_warned in +yes:) +{ $as_echo "$as_me:${as_lineno-$LINENO}: WARNING: using cross tools not prefixed with host triplet" >&5 +$as_echo "$as_me: WARNING: using cross tools not prefixed with host triplet" >&2;} +ac_tool_warned=yes ;; +esac + RANLIB=$ac_ct_RANLIB + fi +else + RANLIB="$ac_cv_prog_RANLIB" +fi + +test -z "$RANLIB" && RANLIB=: + + + + + + +# Determine commands to create old-style static archives. +old_archive_cmds='$AR $AR_FLAGS $oldlib$oldobjs' +old_postinstall_cmds='chmod 644 $oldlib' +old_postuninstall_cmds= + +if test -n "$RANLIB"; then + case $host_os in + openbsd*) + old_postinstall_cmds="$old_postinstall_cmds~\$RANLIB -t \$oldlib" + ;; + *) + old_postinstall_cmds="$old_postinstall_cmds~\$RANLIB \$oldlib" + ;; + esac + old_archive_cmds="$old_archive_cmds~\$RANLIB \$oldlib" +fi + +case $host_os in + darwin*) + lock_old_archive_extraction=yes ;; + *) + lock_old_archive_extraction=no ;; +esac + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +# If no C compiler was specified, use CC. +LTCC=${LTCC-"$CC"} + +# If no C compiler flags were specified, use CFLAGS. +LTCFLAGS=${LTCFLAGS-"$CFLAGS"} + +# Allow CC to be a program name with arguments. +compiler=$CC + + +# Check for command to grab the raw symbol name followed by C symbol from nm. +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking command to parse $NM output from $compiler object" >&5 +$as_echo_n "checking command to parse $NM output from $compiler object... " >&6; } +if test "${lt_cv_sys_global_symbol_pipe+set}" = set; then : + $as_echo_n "(cached) " >&6 +else + +# These are sane defaults that work on at least a few old systems. +# [They come from Ultrix. What could be older than Ultrix?!! ;)] + +# Character class describing NM global symbol codes. +symcode='[BCDEGRST]' + +# Regexp to match symbols that can be accessed directly from C. +sympat='\([_A-Za-z][_A-Za-z0-9]*\)' + +# Define system-specific variables. +case $host_os in +aix*) + symcode='[BCDT]' + ;; +cygwin* | mingw* | pw32* | cegcc*) + symcode='[ABCDGISTW]' + ;; +hpux*) + if test "$host_cpu" = ia64; then + symcode='[ABCDEGRST]' + fi + ;; +irix* | nonstopux*) + symcode='[BCDEGRST]' + ;; +osf*) + symcode='[BCDEGQRST]' + ;; +solaris*) + symcode='[BDRT]' + ;; +sco3.2v5*) + symcode='[DT]' + ;; +sysv4.2uw2*) + symcode='[DT]' + ;; +sysv5* | sco5v6* | unixware* | OpenUNIX*) + symcode='[ABDT]' + ;; +sysv4) + symcode='[DFNSTU]' + ;; +esac + +# If we're using GNU nm, then use its standard symbol codes. +case `$NM -V 2>&1` in +*GNU* | *'with BFD'*) + symcode='[ABCDGIRSTW]' ;; +esac + +# Transform an extracted symbol line into a proper C declaration. +# Some systems (esp. on ia64) link data and code symbols differently, +# so use this general approach. +lt_cv_sys_global_symbol_to_cdecl="sed -n -e 's/^T .* \(.*\)$/extern int \1();/p' -e 's/^$symcode* .* \(.*\)$/extern char \1;/p'" + +# Transform an extracted symbol line into symbol name and symbol address +lt_cv_sys_global_symbol_to_c_name_address="sed -n -e 's/^: \([^ ]*\) $/ {\\\"\1\\\", (void *) 0},/p' -e 's/^$symcode* \([^ ]*\) \([^ ]*\)$/ {\"\2\", (void *) \&\2},/p'" +lt_cv_sys_global_symbol_to_c_name_address_lib_prefix="sed -n -e 's/^: \([^ ]*\) $/ {\\\"\1\\\", (void *) 0},/p' -e 's/^$symcode* \([^ ]*\) \(lib[^ ]*\)$/ {\"\2\", (void *) \&\2},/p' -e 's/^$symcode* \([^ ]*\) \([^ ]*\)$/ {\"lib\2\", (void *) \&\2},/p'" + +# Handle CRLF in mingw tool chain +opt_cr= +case $build_os in +mingw*) + opt_cr=`$ECHO 'x\{0,1\}' | tr x '\015'` # option cr in regexp + ;; +esac + +# Try without a prefix underscore, then with it. +for ac_symprfx in "" "_"; do + + # Transform symcode, sympat, and symprfx into a raw symbol and a C symbol. + symxfrm="\\1 $ac_symprfx\\2 \\2" + + # Write the raw and C identifiers. + if test "$lt_cv_nm_interface" = "MS dumpbin"; then + # Fake it for dumpbin and say T for any non-static function + # and D for any global variable. + # Also find C++ and __fastcall symbols from MSVC++, + # which start with @ or ?. + lt_cv_sys_global_symbol_pipe="$AWK '"\ +" {last_section=section; section=\$ 3};"\ +" /Section length .*#relocs.*(pick any)/{hide[last_section]=1};"\ +" \$ 0!~/External *\|/{next};"\ +" / 0+ UNDEF /{next}; / UNDEF \([^|]\)*()/{next};"\ +" {if(hide[section]) next};"\ +" {f=0}; \$ 0~/\(\).*\|/{f=1}; {printf f ? \"T \" : \"D \"};"\ +" {split(\$ 0, a, /\||\r/); split(a[2], s)};"\ +" s[1]~/^[@?]/{print s[1], s[1]; next};"\ +" s[1]~prfx {split(s[1],t,\"@\"); print t[1], substr(t[1],length(prfx))}"\ +" ' prfx=^$ac_symprfx" + else + lt_cv_sys_global_symbol_pipe="sed -n -e 's/^.*[ ]\($symcode$symcode*\)[ ][ ]*$ac_symprfx$sympat$opt_cr$/$symxfrm/p'" + fi + + # Check to see that the pipe works correctly. + pipe_works=no + + rm -f conftest* + cat > conftest.$ac_ext <<_LT_EOF +#ifdef __cplusplus +extern "C" { +#endif +char nm_test_var; +void nm_test_func(void); +void nm_test_func(void){} +#ifdef __cplusplus +} +#endif +int main(){nm_test_var='a';nm_test_func();return(0);} +_LT_EOF + + if { { eval echo "\"\$as_me\":${as_lineno-$LINENO}: \"$ac_compile\""; } >&5 + (eval $ac_compile) 2>&5 + ac_status=$? + $as_echo "$as_me:${as_lineno-$LINENO}: \$? = $ac_status" >&5 + test $ac_status = 0; }; then + # Now try to grab the symbols. + nlist=conftest.nm + if { { eval echo "\"\$as_me\":${as_lineno-$LINENO}: \"$NM conftest.$ac_objext \| "$lt_cv_sys_global_symbol_pipe" \> $nlist\""; } >&5 + (eval $NM conftest.$ac_objext \| "$lt_cv_sys_global_symbol_pipe" \> $nlist) 2>&5 + ac_status=$? + $as_echo "$as_me:${as_lineno-$LINENO}: \$? = $ac_status" >&5 + test $ac_status = 0; } && test -s "$nlist"; then + # Try sorting and uniquifying the output. + if sort "$nlist" | uniq > "$nlist"T; then + mv -f "$nlist"T "$nlist" + else + rm -f "$nlist"T + fi + + # Make sure that we snagged all the symbols we need. + if $GREP ' nm_test_var$' "$nlist" >/dev/null; then + if $GREP ' nm_test_func$' "$nlist" >/dev/null; then + cat <<_LT_EOF > conftest.$ac_ext +#ifdef __cplusplus +extern "C" { +#endif + +_LT_EOF + # Now generate the symbol file. + eval "$lt_cv_sys_global_symbol_to_cdecl"' < "$nlist" | $GREP -v main >> conftest.$ac_ext' + + cat <<_LT_EOF >> conftest.$ac_ext + +/* The mapping between symbol names and symbols. */ +const struct { + const char *name; + void *address; +} +lt__PROGRAM__LTX_preloaded_symbols[] = +{ + { "@PROGRAM@", (void *) 0 }, +_LT_EOF + $SED "s/^$symcode$symcode* \(.*\) \(.*\)$/ {\"\2\", (void *) \&\2},/" < "$nlist" | $GREP -v main >> conftest.$ac_ext + cat <<\_LT_EOF >> conftest.$ac_ext + {0, (void *) 0} +}; + +/* This works around a problem in FreeBSD linker */ +#ifdef FREEBSD_WORKAROUND +static const void *lt_preloaded_setup() { + return lt__PROGRAM__LTX_preloaded_symbols; +} +#endif + +#ifdef __cplusplus +} +#endif +_LT_EOF + # Now try linking the two files. + mv conftest.$ac_objext conftstm.$ac_objext + lt_save_LIBS="$LIBS" + lt_save_CFLAGS="$CFLAGS" + LIBS="conftstm.$ac_objext" + CFLAGS="$CFLAGS$lt_prog_compiler_no_builtin_flag" + if { { eval echo "\"\$as_me\":${as_lineno-$LINENO}: \"$ac_link\""; } >&5 + (eval $ac_link) 2>&5 + ac_status=$? + $as_echo "$as_me:${as_lineno-$LINENO}: \$? = $ac_status" >&5 + test $ac_status = 0; } && test -s conftest${ac_exeext}; then + pipe_works=yes + fi + LIBS="$lt_save_LIBS" + CFLAGS="$lt_save_CFLAGS" + else + echo "cannot find nm_test_func in $nlist" >&5 + fi + else + echo "cannot find nm_test_var in $nlist" >&5 + fi + else + echo "cannot run $lt_cv_sys_global_symbol_pipe" >&5 + fi + else + echo "$progname: failed program was:" >&5 + cat conftest.$ac_ext >&5 + fi + rm -rf conftest* conftst* + + # Do not use the global_symbol_pipe unless it works. + if test "$pipe_works" = yes; then + break + else + lt_cv_sys_global_symbol_pipe= + fi +done + +fi + +if test -z "$lt_cv_sys_global_symbol_pipe"; then + lt_cv_sys_global_symbol_to_cdecl= +fi +if test -z "$lt_cv_sys_global_symbol_pipe$lt_cv_sys_global_symbol_to_cdecl"; then + { $as_echo "$as_me:${as_lineno-$LINENO}: result: failed" >&5 +$as_echo "failed" >&6; } +else + { $as_echo "$as_me:${as_lineno-$LINENO}: result: ok" >&5 +$as_echo "ok" >&6; } +fi + + + + + + + + + + + + + + + + + + + + + + +# Check whether --enable-libtool-lock was given. +if test "${enable_libtool_lock+set}" = set; then : + enableval=$enable_libtool_lock; +fi + +test "x$enable_libtool_lock" != xno && enable_libtool_lock=yes + +# Some flags need to be propagated to the compiler or linker for good +# libtool support. +case $host in +ia64-*-hpux*) + # Find out which ABI we are using. + echo 'int i;' > conftest.$ac_ext + if { { eval echo "\"\$as_me\":${as_lineno-$LINENO}: \"$ac_compile\""; } >&5 + (eval $ac_compile) 2>&5 + ac_status=$? + $as_echo "$as_me:${as_lineno-$LINENO}: \$? = $ac_status" >&5 + test $ac_status = 0; }; then + case `/usr/bin/file conftest.$ac_objext` in + *ELF-32*) + HPUX_IA64_MODE="32" + ;; + *ELF-64*) + HPUX_IA64_MODE="64" + ;; + esac + fi + rm -rf conftest* + ;; +*-*-irix6*) + # Find out which ABI we are using. + echo '#line '$LINENO' "configure"' > conftest.$ac_ext + if { { eval echo "\"\$as_me\":${as_lineno-$LINENO}: \"$ac_compile\""; } >&5 + (eval $ac_compile) 2>&5 + ac_status=$? + $as_echo "$as_me:${as_lineno-$LINENO}: \$? = $ac_status" >&5 + test $ac_status = 0; }; then + if test "$lt_cv_prog_gnu_ld" = yes; then + case `/usr/bin/file conftest.$ac_objext` in + *32-bit*) + LD="${LD-ld} -melf32bsmip" + ;; + *N32*) + LD="${LD-ld} -melf32bmipn32" + ;; + *64-bit*) + LD="${LD-ld} -melf64bmip" + ;; + esac + else + case `/usr/bin/file conftest.$ac_objext` in + *32-bit*) + LD="${LD-ld} -32" + ;; + *N32*) + LD="${LD-ld} -n32" + ;; + *64-bit*) + LD="${LD-ld} -64" + ;; + esac + fi + fi + rm -rf conftest* + ;; + +x86_64-*kfreebsd*-gnu|x86_64-*linux*|ppc*-*linux*|powerpc*-*linux*| \ +s390*-*linux*|s390*-*tpf*|sparc*-*linux*) + # Find out which ABI we are using. + echo 'int i;' > conftest.$ac_ext + if { { eval echo "\"\$as_me\":${as_lineno-$LINENO}: \"$ac_compile\""; } >&5 + (eval $ac_compile) 2>&5 + ac_status=$? + $as_echo "$as_me:${as_lineno-$LINENO}: \$? = $ac_status" >&5 + test $ac_status = 0; }; then + case `/usr/bin/file conftest.o` in + *32-bit*) + case $host in + x86_64-*kfreebsd*-gnu) + LD="${LD-ld} -m elf_i386_fbsd" + ;; + x86_64-*linux*) + LD="${LD-ld} -m elf_i386" + ;; + ppc64-*linux*|powerpc64-*linux*) + LD="${LD-ld} -m elf32ppclinux" + ;; + s390x-*linux*) + LD="${LD-ld} -m elf_s390" + ;; + sparc64-*linux*) + LD="${LD-ld} -m elf32_sparc" + ;; + esac + ;; + *64-bit*) + case $host in + x86_64-*kfreebsd*-gnu) + LD="${LD-ld} -m elf_x86_64_fbsd" + ;; + x86_64-*linux*) + LD="${LD-ld} -m elf_x86_64" + ;; + ppc*-*linux*|powerpc*-*linux*) + LD="${LD-ld} -m elf64ppc" + ;; + s390*-*linux*|s390*-*tpf*) + LD="${LD-ld} -m elf64_s390" + ;; + sparc*-*linux*) + LD="${LD-ld} -m elf64_sparc" + ;; + esac + ;; + esac + fi + rm -rf conftest* + ;; + +*-*-sco3.2v5*) + # On SCO OpenServer 5, we need -belf to get full-featured binaries. + SAVE_CFLAGS="$CFLAGS" + CFLAGS="$CFLAGS -belf" + { $as_echo "$as_me:${as_lineno-$LINENO}: checking whether the C compiler needs -belf" >&5 +$as_echo_n "checking whether the C compiler needs -belf... " >&6; } +if test "${lt_cv_cc_needs_belf+set}" = set; then : + $as_echo_n "(cached) " >&6 +else + ac_ext=c +ac_cpp='$CPP $CPPFLAGS' +ac_compile='$CC -c $CFLAGS $CPPFLAGS conftest.$ac_ext >&5' +ac_link='$CC -o conftest$ac_exeext $CFLAGS $CPPFLAGS $LDFLAGS conftest.$ac_ext $LIBS >&5' +ac_compiler_gnu=$ac_cv_c_compiler_gnu + + if test x$gcc_no_link = xyes; then + as_fn_error "Link tests are not allowed after GCC_NO_EXECUTABLES." "$LINENO" 5 +fi +cat confdefs.h - <<_ACEOF >conftest.$ac_ext +/* end confdefs.h. */ + +int +main () +{ + + ; + return 0; +} +_ACEOF +if ac_fn_c_try_link "$LINENO"; then : + lt_cv_cc_needs_belf=yes +else + lt_cv_cc_needs_belf=no +fi +rm -f core conftest.err conftest.$ac_objext \ + conftest$ac_exeext conftest.$ac_ext + ac_ext=c +ac_cpp='$CPP $CPPFLAGS' +ac_compile='$CC -c $CFLAGS $CPPFLAGS conftest.$ac_ext >&5' +ac_link='$CC -o conftest$ac_exeext $CFLAGS $CPPFLAGS $LDFLAGS conftest.$ac_ext $LIBS >&5' +ac_compiler_gnu=$ac_cv_c_compiler_gnu + +fi +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $lt_cv_cc_needs_belf" >&5 +$as_echo "$lt_cv_cc_needs_belf" >&6; } + if test x"$lt_cv_cc_needs_belf" != x"yes"; then + # this is probably gcc 2.8.0, egcs 1.0 or newer; no need for -belf + CFLAGS="$SAVE_CFLAGS" + fi + ;; +sparc*-*solaris*) + # Find out which ABI we are using. + echo 'int i;' > conftest.$ac_ext + if { { eval echo "\"\$as_me\":${as_lineno-$LINENO}: \"$ac_compile\""; } >&5 + (eval $ac_compile) 2>&5 + ac_status=$? + $as_echo "$as_me:${as_lineno-$LINENO}: \$? = $ac_status" >&5 + test $ac_status = 0; }; then + case `/usr/bin/file conftest.o` in + *64-bit*) + case $lt_cv_prog_gnu_ld in + yes*) LD="${LD-ld} -m elf64_sparc" ;; + *) + if ${LD-ld} -64 -r -o conftest2.o conftest.o >/dev/null 2>&1; then + LD="${LD-ld} -64" + fi + ;; + esac + ;; + esac + fi + rm -rf conftest* + ;; +esac + +need_locks="$enable_libtool_lock" + + + case $host_os in + rhapsody* | darwin*) + if test -n "$ac_tool_prefix"; then + # Extract the first word of "${ac_tool_prefix}dsymutil", so it can be a program name with args. +set dummy ${ac_tool_prefix}dsymutil; ac_word=$2 +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking for $ac_word" >&5 +$as_echo_n "checking for $ac_word... " >&6; } +if test "${ac_cv_prog_DSYMUTIL+set}" = set; then : + $as_echo_n "(cached) " >&6 +else + if test -n "$DSYMUTIL"; then + ac_cv_prog_DSYMUTIL="$DSYMUTIL" # Let the user override the test. +else +as_save_IFS=$IFS; IFS=$PATH_SEPARATOR +for as_dir in $PATH +do + IFS=$as_save_IFS + test -z "$as_dir" && as_dir=. + for ac_exec_ext in '' $ac_executable_extensions; do + if { test -f "$as_dir/$ac_word$ac_exec_ext" && $as_test_x "$as_dir/$ac_word$ac_exec_ext"; }; then + ac_cv_prog_DSYMUTIL="${ac_tool_prefix}dsymutil" + $as_echo "$as_me:${as_lineno-$LINENO}: found $as_dir/$ac_word$ac_exec_ext" >&5 + break 2 + fi +done + done +IFS=$as_save_IFS + +fi +fi +DSYMUTIL=$ac_cv_prog_DSYMUTIL +if test -n "$DSYMUTIL"; then + { $as_echo "$as_me:${as_lineno-$LINENO}: result: $DSYMUTIL" >&5 +$as_echo "$DSYMUTIL" >&6; } +else + { $as_echo "$as_me:${as_lineno-$LINENO}: result: no" >&5 +$as_echo "no" >&6; } +fi + + +fi +if test -z "$ac_cv_prog_DSYMUTIL"; then + ac_ct_DSYMUTIL=$DSYMUTIL + # Extract the first word of "dsymutil", so it can be a program name with args. +set dummy dsymutil; ac_word=$2 +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking for $ac_word" >&5 +$as_echo_n "checking for $ac_word... " >&6; } +if test "${ac_cv_prog_ac_ct_DSYMUTIL+set}" = set; then : + $as_echo_n "(cached) " >&6 +else + if test -n "$ac_ct_DSYMUTIL"; then + ac_cv_prog_ac_ct_DSYMUTIL="$ac_ct_DSYMUTIL" # Let the user override the test. +else +as_save_IFS=$IFS; IFS=$PATH_SEPARATOR +for as_dir in $PATH +do + IFS=$as_save_IFS + test -z "$as_dir" && as_dir=. + for ac_exec_ext in '' $ac_executable_extensions; do + if { test -f "$as_dir/$ac_word$ac_exec_ext" && $as_test_x "$as_dir/$ac_word$ac_exec_ext"; }; then + ac_cv_prog_ac_ct_DSYMUTIL="dsymutil" + $as_echo "$as_me:${as_lineno-$LINENO}: found $as_dir/$ac_word$ac_exec_ext" >&5 + break 2 + fi +done + done +IFS=$as_save_IFS + +fi +fi +ac_ct_DSYMUTIL=$ac_cv_prog_ac_ct_DSYMUTIL +if test -n "$ac_ct_DSYMUTIL"; then + { $as_echo "$as_me:${as_lineno-$LINENO}: result: $ac_ct_DSYMUTIL" >&5 +$as_echo "$ac_ct_DSYMUTIL" >&6; } +else + { $as_echo "$as_me:${as_lineno-$LINENO}: result: no" >&5 +$as_echo "no" >&6; } +fi + + if test "x$ac_ct_DSYMUTIL" = x; then + DSYMUTIL=":" + else + case $cross_compiling:$ac_tool_warned in +yes:) +{ $as_echo "$as_me:${as_lineno-$LINENO}: WARNING: using cross tools not prefixed with host triplet" >&5 +$as_echo "$as_me: WARNING: using cross tools not prefixed with host triplet" >&2;} +ac_tool_warned=yes ;; +esac + DSYMUTIL=$ac_ct_DSYMUTIL + fi +else + DSYMUTIL="$ac_cv_prog_DSYMUTIL" +fi + + if test -n "$ac_tool_prefix"; then + # Extract the first word of "${ac_tool_prefix}nmedit", so it can be a program name with args. +set dummy ${ac_tool_prefix}nmedit; ac_word=$2 +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking for $ac_word" >&5 +$as_echo_n "checking for $ac_word... " >&6; } +if test "${ac_cv_prog_NMEDIT+set}" = set; then : + $as_echo_n "(cached) " >&6 +else + if test -n "$NMEDIT"; then + ac_cv_prog_NMEDIT="$NMEDIT" # Let the user override the test. +else +as_save_IFS=$IFS; IFS=$PATH_SEPARATOR +for as_dir in $PATH +do + IFS=$as_save_IFS + test -z "$as_dir" && as_dir=. + for ac_exec_ext in '' $ac_executable_extensions; do + if { test -f "$as_dir/$ac_word$ac_exec_ext" && $as_test_x "$as_dir/$ac_word$ac_exec_ext"; }; then + ac_cv_prog_NMEDIT="${ac_tool_prefix}nmedit" + $as_echo "$as_me:${as_lineno-$LINENO}: found $as_dir/$ac_word$ac_exec_ext" >&5 + break 2 + fi +done + done +IFS=$as_save_IFS + +fi +fi +NMEDIT=$ac_cv_prog_NMEDIT +if test -n "$NMEDIT"; then + { $as_echo "$as_me:${as_lineno-$LINENO}: result: $NMEDIT" >&5 +$as_echo "$NMEDIT" >&6; } +else + { $as_echo "$as_me:${as_lineno-$LINENO}: result: no" >&5 +$as_echo "no" >&6; } +fi + + +fi +if test -z "$ac_cv_prog_NMEDIT"; then + ac_ct_NMEDIT=$NMEDIT + # Extract the first word of "nmedit", so it can be a program name with args. +set dummy nmedit; ac_word=$2 +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking for $ac_word" >&5 +$as_echo_n "checking for $ac_word... " >&6; } +if test "${ac_cv_prog_ac_ct_NMEDIT+set}" = set; then : + $as_echo_n "(cached) " >&6 +else + if test -n "$ac_ct_NMEDIT"; then + ac_cv_prog_ac_ct_NMEDIT="$ac_ct_NMEDIT" # Let the user override the test. +else +as_save_IFS=$IFS; IFS=$PATH_SEPARATOR +for as_dir in $PATH +do + IFS=$as_save_IFS + test -z "$as_dir" && as_dir=. + for ac_exec_ext in '' $ac_executable_extensions; do + if { test -f "$as_dir/$ac_word$ac_exec_ext" && $as_test_x "$as_dir/$ac_word$ac_exec_ext"; }; then + ac_cv_prog_ac_ct_NMEDIT="nmedit" + $as_echo "$as_me:${as_lineno-$LINENO}: found $as_dir/$ac_word$ac_exec_ext" >&5 + break 2 + fi +done + done +IFS=$as_save_IFS + +fi +fi +ac_ct_NMEDIT=$ac_cv_prog_ac_ct_NMEDIT +if test -n "$ac_ct_NMEDIT"; then + { $as_echo "$as_me:${as_lineno-$LINENO}: result: $ac_ct_NMEDIT" >&5 +$as_echo "$ac_ct_NMEDIT" >&6; } +else + { $as_echo "$as_me:${as_lineno-$LINENO}: result: no" >&5 +$as_echo "no" >&6; } +fi + + if test "x$ac_ct_NMEDIT" = x; then + NMEDIT=":" + else + case $cross_compiling:$ac_tool_warned in +yes:) +{ $as_echo "$as_me:${as_lineno-$LINENO}: WARNING: using cross tools not prefixed with host triplet" >&5 +$as_echo "$as_me: WARNING: using cross tools not prefixed with host triplet" >&2;} +ac_tool_warned=yes ;; +esac + NMEDIT=$ac_ct_NMEDIT + fi +else + NMEDIT="$ac_cv_prog_NMEDIT" +fi + + if test -n "$ac_tool_prefix"; then + # Extract the first word of "${ac_tool_prefix}lipo", so it can be a program name with args. +set dummy ${ac_tool_prefix}lipo; ac_word=$2 +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking for $ac_word" >&5 +$as_echo_n "checking for $ac_word... " >&6; } +if test "${ac_cv_prog_LIPO+set}" = set; then : + $as_echo_n "(cached) " >&6 +else + if test -n "$LIPO"; then + ac_cv_prog_LIPO="$LIPO" # Let the user override the test. +else +as_save_IFS=$IFS; IFS=$PATH_SEPARATOR +for as_dir in $PATH +do + IFS=$as_save_IFS + test -z "$as_dir" && as_dir=. + for ac_exec_ext in '' $ac_executable_extensions; do + if { test -f "$as_dir/$ac_word$ac_exec_ext" && $as_test_x "$as_dir/$ac_word$ac_exec_ext"; }; then + ac_cv_prog_LIPO="${ac_tool_prefix}lipo" + $as_echo "$as_me:${as_lineno-$LINENO}: found $as_dir/$ac_word$ac_exec_ext" >&5 + break 2 + fi +done + done +IFS=$as_save_IFS + +fi +fi +LIPO=$ac_cv_prog_LIPO +if test -n "$LIPO"; then + { $as_echo "$as_me:${as_lineno-$LINENO}: result: $LIPO" >&5 +$as_echo "$LIPO" >&6; } +else + { $as_echo "$as_me:${as_lineno-$LINENO}: result: no" >&5 +$as_echo "no" >&6; } +fi + + +fi +if test -z "$ac_cv_prog_LIPO"; then + ac_ct_LIPO=$LIPO + # Extract the first word of "lipo", so it can be a program name with args. +set dummy lipo; ac_word=$2 +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking for $ac_word" >&5 +$as_echo_n "checking for $ac_word... " >&6; } +if test "${ac_cv_prog_ac_ct_LIPO+set}" = set; then : + $as_echo_n "(cached) " >&6 +else + if test -n "$ac_ct_LIPO"; then + ac_cv_prog_ac_ct_LIPO="$ac_ct_LIPO" # Let the user override the test. +else +as_save_IFS=$IFS; IFS=$PATH_SEPARATOR +for as_dir in $PATH +do + IFS=$as_save_IFS + test -z "$as_dir" && as_dir=. + for ac_exec_ext in '' $ac_executable_extensions; do + if { test -f "$as_dir/$ac_word$ac_exec_ext" && $as_test_x "$as_dir/$ac_word$ac_exec_ext"; }; then + ac_cv_prog_ac_ct_LIPO="lipo" + $as_echo "$as_me:${as_lineno-$LINENO}: found $as_dir/$ac_word$ac_exec_ext" >&5 + break 2 + fi +done + done +IFS=$as_save_IFS + +fi +fi +ac_ct_LIPO=$ac_cv_prog_ac_ct_LIPO +if test -n "$ac_ct_LIPO"; then + { $as_echo "$as_me:${as_lineno-$LINENO}: result: $ac_ct_LIPO" >&5 +$as_echo "$ac_ct_LIPO" >&6; } +else + { $as_echo "$as_me:${as_lineno-$LINENO}: result: no" >&5 +$as_echo "no" >&6; } +fi + + if test "x$ac_ct_LIPO" = x; then + LIPO=":" + else + case $cross_compiling:$ac_tool_warned in +yes:) +{ $as_echo "$as_me:${as_lineno-$LINENO}: WARNING: using cross tools not prefixed with host triplet" >&5 +$as_echo "$as_me: WARNING: using cross tools not prefixed with host triplet" >&2;} +ac_tool_warned=yes ;; +esac + LIPO=$ac_ct_LIPO + fi +else + LIPO="$ac_cv_prog_LIPO" +fi + + if test -n "$ac_tool_prefix"; then + # Extract the first word of "${ac_tool_prefix}otool", so it can be a program name with args. +set dummy ${ac_tool_prefix}otool; ac_word=$2 +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking for $ac_word" >&5 +$as_echo_n "checking for $ac_word... " >&6; } +if test "${ac_cv_prog_OTOOL+set}" = set; then : + $as_echo_n "(cached) " >&6 +else + if test -n "$OTOOL"; then + ac_cv_prog_OTOOL="$OTOOL" # Let the user override the test. +else +as_save_IFS=$IFS; IFS=$PATH_SEPARATOR +for as_dir in $PATH +do + IFS=$as_save_IFS + test -z "$as_dir" && as_dir=. + for ac_exec_ext in '' $ac_executable_extensions; do + if { test -f "$as_dir/$ac_word$ac_exec_ext" && $as_test_x "$as_dir/$ac_word$ac_exec_ext"; }; then + ac_cv_prog_OTOOL="${ac_tool_prefix}otool" + $as_echo "$as_me:${as_lineno-$LINENO}: found $as_dir/$ac_word$ac_exec_ext" >&5 + break 2 + fi +done + done +IFS=$as_save_IFS + +fi +fi +OTOOL=$ac_cv_prog_OTOOL +if test -n "$OTOOL"; then + { $as_echo "$as_me:${as_lineno-$LINENO}: result: $OTOOL" >&5 +$as_echo "$OTOOL" >&6; } +else + { $as_echo "$as_me:${as_lineno-$LINENO}: result: no" >&5 +$as_echo "no" >&6; } +fi + + +fi +if test -z "$ac_cv_prog_OTOOL"; then + ac_ct_OTOOL=$OTOOL + # Extract the first word of "otool", so it can be a program name with args. +set dummy otool; ac_word=$2 +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking for $ac_word" >&5 +$as_echo_n "checking for $ac_word... " >&6; } +if test "${ac_cv_prog_ac_ct_OTOOL+set}" = set; then : + $as_echo_n "(cached) " >&6 +else + if test -n "$ac_ct_OTOOL"; then + ac_cv_prog_ac_ct_OTOOL="$ac_ct_OTOOL" # Let the user override the test. +else +as_save_IFS=$IFS; IFS=$PATH_SEPARATOR +for as_dir in $PATH +do + IFS=$as_save_IFS + test -z "$as_dir" && as_dir=. + for ac_exec_ext in '' $ac_executable_extensions; do + if { test -f "$as_dir/$ac_word$ac_exec_ext" && $as_test_x "$as_dir/$ac_word$ac_exec_ext"; }; then + ac_cv_prog_ac_ct_OTOOL="otool" + $as_echo "$as_me:${as_lineno-$LINENO}: found $as_dir/$ac_word$ac_exec_ext" >&5 + break 2 + fi +done + done +IFS=$as_save_IFS + +fi +fi +ac_ct_OTOOL=$ac_cv_prog_ac_ct_OTOOL +if test -n "$ac_ct_OTOOL"; then + { $as_echo "$as_me:${as_lineno-$LINENO}: result: $ac_ct_OTOOL" >&5 +$as_echo "$ac_ct_OTOOL" >&6; } +else + { $as_echo "$as_me:${as_lineno-$LINENO}: result: no" >&5 +$as_echo "no" >&6; } +fi + + if test "x$ac_ct_OTOOL" = x; then + OTOOL=":" + else + case $cross_compiling:$ac_tool_warned in +yes:) +{ $as_echo "$as_me:${as_lineno-$LINENO}: WARNING: using cross tools not prefixed with host triplet" >&5 +$as_echo "$as_me: WARNING: using cross tools not prefixed with host triplet" >&2;} +ac_tool_warned=yes ;; +esac + OTOOL=$ac_ct_OTOOL + fi +else + OTOOL="$ac_cv_prog_OTOOL" +fi + + if test -n "$ac_tool_prefix"; then + # Extract the first word of "${ac_tool_prefix}otool64", so it can be a program name with args. +set dummy ${ac_tool_prefix}otool64; ac_word=$2 +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking for $ac_word" >&5 +$as_echo_n "checking for $ac_word... " >&6; } +if test "${ac_cv_prog_OTOOL64+set}" = set; then : + $as_echo_n "(cached) " >&6 +else + if test -n "$OTOOL64"; then + ac_cv_prog_OTOOL64="$OTOOL64" # Let the user override the test. +else +as_save_IFS=$IFS; IFS=$PATH_SEPARATOR +for as_dir in $PATH +do + IFS=$as_save_IFS + test -z "$as_dir" && as_dir=. + for ac_exec_ext in '' $ac_executable_extensions; do + if { test -f "$as_dir/$ac_word$ac_exec_ext" && $as_test_x "$as_dir/$ac_word$ac_exec_ext"; }; then + ac_cv_prog_OTOOL64="${ac_tool_prefix}otool64" + $as_echo "$as_me:${as_lineno-$LINENO}: found $as_dir/$ac_word$ac_exec_ext" >&5 + break 2 + fi +done + done +IFS=$as_save_IFS + +fi +fi +OTOOL64=$ac_cv_prog_OTOOL64 +if test -n "$OTOOL64"; then + { $as_echo "$as_me:${as_lineno-$LINENO}: result: $OTOOL64" >&5 +$as_echo "$OTOOL64" >&6; } +else + { $as_echo "$as_me:${as_lineno-$LINENO}: result: no" >&5 +$as_echo "no" >&6; } +fi + + +fi +if test -z "$ac_cv_prog_OTOOL64"; then + ac_ct_OTOOL64=$OTOOL64 + # Extract the first word of "otool64", so it can be a program name with args. +set dummy otool64; ac_word=$2 +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking for $ac_word" >&5 +$as_echo_n "checking for $ac_word... " >&6; } +if test "${ac_cv_prog_ac_ct_OTOOL64+set}" = set; then : + $as_echo_n "(cached) " >&6 +else + if test -n "$ac_ct_OTOOL64"; then + ac_cv_prog_ac_ct_OTOOL64="$ac_ct_OTOOL64" # Let the user override the test. +else +as_save_IFS=$IFS; IFS=$PATH_SEPARATOR +for as_dir in $PATH +do + IFS=$as_save_IFS + test -z "$as_dir" && as_dir=. + for ac_exec_ext in '' $ac_executable_extensions; do + if { test -f "$as_dir/$ac_word$ac_exec_ext" && $as_test_x "$as_dir/$ac_word$ac_exec_ext"; }; then + ac_cv_prog_ac_ct_OTOOL64="otool64" + $as_echo "$as_me:${as_lineno-$LINENO}: found $as_dir/$ac_word$ac_exec_ext" >&5 + break 2 + fi +done + done +IFS=$as_save_IFS + +fi +fi +ac_ct_OTOOL64=$ac_cv_prog_ac_ct_OTOOL64 +if test -n "$ac_ct_OTOOL64"; then + { $as_echo "$as_me:${as_lineno-$LINENO}: result: $ac_ct_OTOOL64" >&5 +$as_echo "$ac_ct_OTOOL64" >&6; } +else + { $as_echo "$as_me:${as_lineno-$LINENO}: result: no" >&5 +$as_echo "no" >&6; } +fi + + if test "x$ac_ct_OTOOL64" = x; then + OTOOL64=":" + else + case $cross_compiling:$ac_tool_warned in +yes:) +{ $as_echo "$as_me:${as_lineno-$LINENO}: WARNING: using cross tools not prefixed with host triplet" >&5 +$as_echo "$as_me: WARNING: using cross tools not prefixed with host triplet" >&2;} +ac_tool_warned=yes ;; +esac + OTOOL64=$ac_ct_OTOOL64 + fi +else + OTOOL64="$ac_cv_prog_OTOOL64" +fi + + + + + + + + + + + + + + + + + + + + + + + + + + + + { $as_echo "$as_me:${as_lineno-$LINENO}: checking for -single_module linker flag" >&5 +$as_echo_n "checking for -single_module linker flag... " >&6; } +if test "${lt_cv_apple_cc_single_mod+set}" = set; then : + $as_echo_n "(cached) " >&6 +else + lt_cv_apple_cc_single_mod=no + if test -z "${LT_MULTI_MODULE}"; then + # By default we will add the -single_module flag. You can override + # by either setting the environment variable LT_MULTI_MODULE + # non-empty at configure time, or by adding -multi_module to the + # link flags. + rm -rf libconftest.dylib* + echo "int foo(void){return 1;}" > conftest.c + echo "$LTCC $LTCFLAGS $LDFLAGS -o libconftest.dylib \ +-dynamiclib -Wl,-single_module conftest.c" >&5 + $LTCC $LTCFLAGS $LDFLAGS -o libconftest.dylib \ + -dynamiclib -Wl,-single_module conftest.c 2>conftest.err + _lt_result=$? + if test -f libconftest.dylib && test ! -s conftest.err && test $_lt_result = 0; then + lt_cv_apple_cc_single_mod=yes + else + cat conftest.err >&5 + fi + rm -rf libconftest.dylib* + rm -f conftest.* + fi +fi +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $lt_cv_apple_cc_single_mod" >&5 +$as_echo "$lt_cv_apple_cc_single_mod" >&6; } + { $as_echo "$as_me:${as_lineno-$LINENO}: checking for -exported_symbols_list linker flag" >&5 +$as_echo_n "checking for -exported_symbols_list linker flag... " >&6; } +if test "${lt_cv_ld_exported_symbols_list+set}" = set; then : + $as_echo_n "(cached) " >&6 +else + lt_cv_ld_exported_symbols_list=no + save_LDFLAGS=$LDFLAGS + echo "_main" > conftest.sym + LDFLAGS="$LDFLAGS -Wl,-exported_symbols_list,conftest.sym" + if test x$gcc_no_link = xyes; then + as_fn_error "Link tests are not allowed after GCC_NO_EXECUTABLES." "$LINENO" 5 +fi +cat confdefs.h - <<_ACEOF >conftest.$ac_ext +/* end confdefs.h. */ + +int +main () +{ + + ; + return 0; +} +_ACEOF +if ac_fn_c_try_link "$LINENO"; then : + lt_cv_ld_exported_symbols_list=yes +else + lt_cv_ld_exported_symbols_list=no +fi +rm -f core conftest.err conftest.$ac_objext \ + conftest$ac_exeext conftest.$ac_ext + LDFLAGS="$save_LDFLAGS" + +fi +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $lt_cv_ld_exported_symbols_list" >&5 +$as_echo "$lt_cv_ld_exported_symbols_list" >&6; } + { $as_echo "$as_me:${as_lineno-$LINENO}: checking for -force_load linker flag" >&5 +$as_echo_n "checking for -force_load linker flag... " >&6; } +if test "${lt_cv_ld_force_load+set}" = set; then : + $as_echo_n "(cached) " >&6 +else + lt_cv_ld_force_load=no + cat > conftest.c << _LT_EOF +int forced_loaded() { return 2;} +_LT_EOF + echo "$LTCC $LTCFLAGS -c -o conftest.o conftest.c" >&5 + $LTCC $LTCFLAGS -c -o conftest.o conftest.c 2>&5 + echo "$AR cru libconftest.a conftest.o" >&5 + $AR cru libconftest.a conftest.o 2>&5 + cat > conftest.c << _LT_EOF +int main() { return 0;} +_LT_EOF + echo "$LTCC $LTCFLAGS $LDFLAGS -o conftest conftest.c -Wl,-force_load,./libconftest.a" >&5 + $LTCC $LTCFLAGS $LDFLAGS -o conftest conftest.c -Wl,-force_load,./libconftest.a 2>conftest.err + _lt_result=$? + if test -f conftest && test ! -s conftest.err && test $_lt_result = 0 && $GREP forced_load conftest 2>&1 >/dev/null; then + lt_cv_ld_force_load=yes + else + cat conftest.err >&5 + fi + rm -f conftest.err libconftest.a conftest conftest.c + rm -rf conftest.dSYM + +fi +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $lt_cv_ld_force_load" >&5 +$as_echo "$lt_cv_ld_force_load" >&6; } + case $host_os in + rhapsody* | darwin1.[012]) + _lt_dar_allow_undefined='${wl}-undefined ${wl}suppress' ;; + darwin1.*) + _lt_dar_allow_undefined='${wl}-flat_namespace ${wl}-undefined ${wl}suppress' ;; + darwin*) # darwin 5.x on + # if running on 10.5 or later, the deployment target defaults + # to the OS version, if on x86, and 10.4, the deployment + # target defaults to 10.4. Don't you love it? + case ${MACOSX_DEPLOYMENT_TARGET-10.0},$host in + 10.0,*86*-darwin8*|10.0,*-darwin[91]*) + _lt_dar_allow_undefined='${wl}-undefined ${wl}dynamic_lookup' ;; + 10.[012]*) + _lt_dar_allow_undefined='${wl}-flat_namespace ${wl}-undefined ${wl}suppress' ;; + 10.*) + _lt_dar_allow_undefined='${wl}-undefined ${wl}dynamic_lookup' ;; + esac + ;; + esac + if test "$lt_cv_apple_cc_single_mod" = "yes"; then + _lt_dar_single_mod='$single_module' + fi + if test "$lt_cv_ld_exported_symbols_list" = "yes"; then + _lt_dar_export_syms=' ${wl}-exported_symbols_list,$output_objdir/${libname}-symbols.expsym' + else + _lt_dar_export_syms='~$NMEDIT -s $output_objdir/${libname}-symbols.expsym ${lib}' + fi + if test "$DSYMUTIL" != ":" && test "$lt_cv_ld_force_load" = "no"; then + _lt_dsymutil='~$DSYMUTIL $lib || :' + else + _lt_dsymutil= + fi + ;; + esac + +for ac_header in dlfcn.h +do : + ac_fn_c_check_header_compile "$LINENO" "dlfcn.h" "ac_cv_header_dlfcn_h" "$ac_includes_default +" +if test "x$ac_cv_header_dlfcn_h" = x""yes; then : + cat >>confdefs.h <<_ACEOF +#define HAVE_DLFCN_H 1 +_ACEOF + +fi + +done + + + + + +# Set options + + + + enable_dlopen=no + + + enable_win32_dll=no + + + # Check whether --enable-shared was given. +if test "${enable_shared+set}" = set; then : + enableval=$enable_shared; p=${PACKAGE-default} + case $enableval in + yes) enable_shared=yes ;; + no) enable_shared=no ;; + *) + enable_shared=no + # Look at the argument we got. We use all the common list separators. + lt_save_ifs="$IFS"; IFS="${IFS}$PATH_SEPARATOR," + for pkg in $enableval; do + IFS="$lt_save_ifs" + if test "X$pkg" = "X$p"; then + enable_shared=yes + fi + done + IFS="$lt_save_ifs" + ;; + esac +else + enable_shared=yes +fi + + + + + + + + + + # Check whether --enable-static was given. +if test "${enable_static+set}" = set; then : + enableval=$enable_static; p=${PACKAGE-default} + case $enableval in + yes) enable_static=yes ;; + no) enable_static=no ;; + *) + enable_static=no + # Look at the argument we got. We use all the common list separators. + lt_save_ifs="$IFS"; IFS="${IFS}$PATH_SEPARATOR," + for pkg in $enableval; do + IFS="$lt_save_ifs" + if test "X$pkg" = "X$p"; then + enable_static=yes + fi + done + IFS="$lt_save_ifs" + ;; + esac +else + enable_static=yes +fi + + + + + + + + + + +# Check whether --with-pic was given. +if test "${with_pic+set}" = set; then : + withval=$with_pic; pic_mode="$withval" +else + pic_mode=default +fi + + +test -z "$pic_mode" && pic_mode=default + + + + + + + + # Check whether --enable-fast-install was given. +if test "${enable_fast_install+set}" = set; then : + enableval=$enable_fast_install; p=${PACKAGE-default} + case $enableval in + yes) enable_fast_install=yes ;; + no) enable_fast_install=no ;; + *) + enable_fast_install=no + # Look at the argument we got. We use all the common list separators. + lt_save_ifs="$IFS"; IFS="${IFS}$PATH_SEPARATOR," + for pkg in $enableval; do + IFS="$lt_save_ifs" + if test "X$pkg" = "X$p"; then + enable_fast_install=yes + fi + done + IFS="$lt_save_ifs" + ;; + esac +else + enable_fast_install=yes +fi + + + + + + + + + + + +# This can be used to rebuild libtool when needed +LIBTOOL_DEPS="$ltmain" + +# Always use our own libtool. +LIBTOOL='$(SHELL) $(top_builddir)/libtool' + + + + + + + + + + + + + + + + + + + + + + + + + + +test -z "$LN_S" && LN_S="ln -s" + + + + + + + + + + + + + + +if test -n "${ZSH_VERSION+set}" ; then + setopt NO_GLOB_SUBST +fi + +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking for objdir" >&5 +$as_echo_n "checking for objdir... " >&6; } +if test "${lt_cv_objdir+set}" = set; then : + $as_echo_n "(cached) " >&6 +else + rm -f .libs 2>/dev/null +mkdir .libs 2>/dev/null +if test -d .libs; then + lt_cv_objdir=.libs +else + # MS-DOS does not allow filenames that begin with a dot. + lt_cv_objdir=_libs +fi +rmdir .libs 2>/dev/null +fi +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $lt_cv_objdir" >&5 +$as_echo "$lt_cv_objdir" >&6; } +objdir=$lt_cv_objdir + + + + + +cat >>confdefs.h <<_ACEOF +#define LT_OBJDIR "$lt_cv_objdir/" +_ACEOF + + + + +case $host_os in +aix3*) + # AIX sometimes has problems with the GCC collect2 program. For some + # reason, if we set the COLLECT_NAMES environment variable, the problems + # vanish in a puff of smoke. + if test "X${COLLECT_NAMES+set}" != Xset; then + COLLECT_NAMES= + export COLLECT_NAMES + fi + ;; +esac + +# Global variables: +ofile=libtool +can_build_shared=yes + +# All known linkers require a `.a' archive for static linking (except MSVC, +# which needs '.lib'). +libext=a + +with_gnu_ld="$lt_cv_prog_gnu_ld" + +old_CC="$CC" +old_CFLAGS="$CFLAGS" + +# Set sane defaults for various variables +test -z "$CC" && CC=cc +test -z "$LTCC" && LTCC=$CC +test -z "$LTCFLAGS" && LTCFLAGS=$CFLAGS +test -z "$LD" && LD=ld +test -z "$ac_objext" && ac_objext=o + +for cc_temp in $compiler""; do + case $cc_temp in + compile | *[\\/]compile | ccache | *[\\/]ccache ) ;; + distcc | *[\\/]distcc | purify | *[\\/]purify ) ;; + \-*) ;; + *) break;; + esac +done +cc_basename=`$ECHO "$cc_temp" | $SED "s%.*/%%; s%^$host_alias-%%"` + + +# Only perform the check for file, if the check method requires it +test -z "$MAGIC_CMD" && MAGIC_CMD=file +case $deplibs_check_method in +file_magic*) + if test "$file_magic_cmd" = '$MAGIC_CMD'; then + { $as_echo "$as_me:${as_lineno-$LINENO}: checking for ${ac_tool_prefix}file" >&5 +$as_echo_n "checking for ${ac_tool_prefix}file... " >&6; } +if test "${lt_cv_path_MAGIC_CMD+set}" = set; then : + $as_echo_n "(cached) " >&6 +else + case $MAGIC_CMD in +[\\/*] | ?:[\\/]*) + lt_cv_path_MAGIC_CMD="$MAGIC_CMD" # Let the user override the test with a path. + ;; +*) + lt_save_MAGIC_CMD="$MAGIC_CMD" + lt_save_ifs="$IFS"; IFS=$PATH_SEPARATOR + ac_dummy="/usr/bin$PATH_SEPARATOR$PATH" + for ac_dir in $ac_dummy; do + IFS="$lt_save_ifs" + test -z "$ac_dir" && ac_dir=. + if test -f $ac_dir/${ac_tool_prefix}file; then + lt_cv_path_MAGIC_CMD="$ac_dir/${ac_tool_prefix}file" + if test -n "$file_magic_test_file"; then + case $deplibs_check_method in + "file_magic "*) + file_magic_regex=`expr "$deplibs_check_method" : "file_magic \(.*\)"` + MAGIC_CMD="$lt_cv_path_MAGIC_CMD" + if eval $file_magic_cmd \$file_magic_test_file 2> /dev/null | + $EGREP "$file_magic_regex" > /dev/null; then + : + else + cat <<_LT_EOF 1>&2 + +*** Warning: the command libtool uses to detect shared libraries, +*** $file_magic_cmd, produces output that libtool cannot recognize. +*** The result is that libtool may fail to recognize shared libraries +*** as such. This will affect the creation of libtool libraries that +*** depend on shared libraries, but programs linked with such libtool +*** libraries will work regardless of this problem. Nevertheless, you +*** may want to report the problem to your system manager and/or to +*** bug-libtool@gnu.org + +_LT_EOF + fi ;; + esac + fi + break + fi + done + IFS="$lt_save_ifs" + MAGIC_CMD="$lt_save_MAGIC_CMD" + ;; +esac +fi + +MAGIC_CMD="$lt_cv_path_MAGIC_CMD" +if test -n "$MAGIC_CMD"; then + { $as_echo "$as_me:${as_lineno-$LINENO}: result: $MAGIC_CMD" >&5 +$as_echo "$MAGIC_CMD" >&6; } +else + { $as_echo "$as_me:${as_lineno-$LINENO}: result: no" >&5 +$as_echo "no" >&6; } +fi + + + + + +if test -z "$lt_cv_path_MAGIC_CMD"; then + if test -n "$ac_tool_prefix"; then + { $as_echo "$as_me:${as_lineno-$LINENO}: checking for file" >&5 +$as_echo_n "checking for file... " >&6; } +if test "${lt_cv_path_MAGIC_CMD+set}" = set; then : + $as_echo_n "(cached) " >&6 +else + case $MAGIC_CMD in +[\\/*] | ?:[\\/]*) + lt_cv_path_MAGIC_CMD="$MAGIC_CMD" # Let the user override the test with a path. + ;; +*) + lt_save_MAGIC_CMD="$MAGIC_CMD" + lt_save_ifs="$IFS"; IFS=$PATH_SEPARATOR + ac_dummy="/usr/bin$PATH_SEPARATOR$PATH" + for ac_dir in $ac_dummy; do + IFS="$lt_save_ifs" + test -z "$ac_dir" && ac_dir=. + if test -f $ac_dir/file; then + lt_cv_path_MAGIC_CMD="$ac_dir/file" + if test -n "$file_magic_test_file"; then + case $deplibs_check_method in + "file_magic "*) + file_magic_regex=`expr "$deplibs_check_method" : "file_magic \(.*\)"` + MAGIC_CMD="$lt_cv_path_MAGIC_CMD" + if eval $file_magic_cmd \$file_magic_test_file 2> /dev/null | + $EGREP "$file_magic_regex" > /dev/null; then + : + else + cat <<_LT_EOF 1>&2 + +*** Warning: the command libtool uses to detect shared libraries, +*** $file_magic_cmd, produces output that libtool cannot recognize. +*** The result is that libtool may fail to recognize shared libraries +*** as such. This will affect the creation of libtool libraries that +*** depend on shared libraries, but programs linked with such libtool +*** libraries will work regardless of this problem. Nevertheless, you +*** may want to report the problem to your system manager and/or to +*** bug-libtool@gnu.org + +_LT_EOF + fi ;; + esac + fi + break + fi + done + IFS="$lt_save_ifs" + MAGIC_CMD="$lt_save_MAGIC_CMD" + ;; +esac +fi + +MAGIC_CMD="$lt_cv_path_MAGIC_CMD" +if test -n "$MAGIC_CMD"; then + { $as_echo "$as_me:${as_lineno-$LINENO}: result: $MAGIC_CMD" >&5 +$as_echo "$MAGIC_CMD" >&6; } +else + { $as_echo "$as_me:${as_lineno-$LINENO}: result: no" >&5 +$as_echo "no" >&6; } +fi + + + else + MAGIC_CMD=: + fi +fi + + fi + ;; +esac + +# Use C for the default configuration in the libtool script + +lt_save_CC="$CC" +ac_ext=c +ac_cpp='$CPP $CPPFLAGS' +ac_compile='$CC -c $CFLAGS $CPPFLAGS conftest.$ac_ext >&5' +ac_link='$CC -o conftest$ac_exeext $CFLAGS $CPPFLAGS $LDFLAGS conftest.$ac_ext $LIBS >&5' +ac_compiler_gnu=$ac_cv_c_compiler_gnu + + +# Source file extension for C test sources. +ac_ext=c + +# Object file extension for compiled C test sources. +objext=o +objext=$objext + +# Code to be used in simple compile tests +lt_simple_compile_test_code="int some_variable = 0;" + +# Code to be used in simple link tests +lt_simple_link_test_code='int main(){return(0);}' + + + + + + + +# If no C compiler was specified, use CC. +LTCC=${LTCC-"$CC"} + +# If no C compiler flags were specified, use CFLAGS. +LTCFLAGS=${LTCFLAGS-"$CFLAGS"} + +# Allow CC to be a program name with arguments. +compiler=$CC + +# Save the default compiler, since it gets overwritten when the other +# tags are being tested, and _LT_TAGVAR(compiler, []) is a NOP. +compiler_DEFAULT=$CC + +# save warnings/boilerplate of simple test code +ac_outfile=conftest.$ac_objext +echo "$lt_simple_compile_test_code" >conftest.$ac_ext +eval "$ac_compile" 2>&1 >/dev/null | $SED '/^$/d; /^ *+/d' >conftest.err +_lt_compiler_boilerplate=`cat conftest.err` +$RM conftest* + +ac_outfile=conftest.$ac_objext +echo "$lt_simple_link_test_code" >conftest.$ac_ext +eval "$ac_link" 2>&1 >/dev/null | $SED '/^$/d; /^ *+/d' >conftest.err +_lt_linker_boilerplate=`cat conftest.err` +$RM -r conftest* + + +## CAVEAT EMPTOR: +## There is no encapsulation within the following macros, do not change +## the running order or otherwise move them around unless you know exactly +## what you are doing... +if test -n "$compiler"; then + +lt_prog_compiler_no_builtin_flag= + +if test "$GCC" = yes; then + case $cc_basename in + nvcc*) + lt_prog_compiler_no_builtin_flag=' -Xcompiler -fno-builtin' ;; + *) + lt_prog_compiler_no_builtin_flag=' -fno-builtin' ;; + esac + + { $as_echo "$as_me:${as_lineno-$LINENO}: checking if $compiler supports -fno-rtti -fno-exceptions" >&5 +$as_echo_n "checking if $compiler supports -fno-rtti -fno-exceptions... " >&6; } +if test "${lt_cv_prog_compiler_rtti_exceptions+set}" = set; then : + $as_echo_n "(cached) " >&6 +else + lt_cv_prog_compiler_rtti_exceptions=no + ac_outfile=conftest.$ac_objext + echo "$lt_simple_compile_test_code" > conftest.$ac_ext + lt_compiler_flag="-fno-rtti -fno-exceptions" + # Insert the option either (1) after the last *FLAGS variable, or + # (2) before a word containing "conftest.", or (3) at the end. + # Note that $ac_compile itself does not contain backslashes and begins + # with a dollar sign (not a hyphen), so the echo should work correctly. + # The option is referenced via a variable to avoid confusing sed. + lt_compile=`echo "$ac_compile" | $SED \ + -e 's:.*FLAGS}\{0,1\} :&$lt_compiler_flag :; t' \ + -e 's: [^ ]*conftest\.: $lt_compiler_flag&:; t' \ + -e 's:$: $lt_compiler_flag:'` + (eval echo "\"\$as_me:$LINENO: $lt_compile\"" >&5) + (eval "$lt_compile" 2>conftest.err) + ac_status=$? + cat conftest.err >&5 + echo "$as_me:$LINENO: \$? = $ac_status" >&5 + if (exit $ac_status) && test -s "$ac_outfile"; then + # The compiler can only warn and ignore the option if not recognized + # So say no if there are warnings other than the usual output. + $ECHO "$_lt_compiler_boilerplate" | $SED '/^$/d' >conftest.exp + $SED '/^$/d; /^ *+/d' conftest.err >conftest.er2 + if test ! -s conftest.er2 || diff conftest.exp conftest.er2 >/dev/null; then + lt_cv_prog_compiler_rtti_exceptions=yes + fi + fi + $RM conftest* + +fi +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $lt_cv_prog_compiler_rtti_exceptions" >&5 +$as_echo "$lt_cv_prog_compiler_rtti_exceptions" >&6; } + +if test x"$lt_cv_prog_compiler_rtti_exceptions" = xyes; then + lt_prog_compiler_no_builtin_flag="$lt_prog_compiler_no_builtin_flag -fno-rtti -fno-exceptions" +else + : +fi + +fi + + + + + + + lt_prog_compiler_wl= +lt_prog_compiler_pic= +lt_prog_compiler_static= + +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking for $compiler option to produce PIC" >&5 +$as_echo_n "checking for $compiler option to produce PIC... " >&6; } + + if test "$GCC" = yes; then + lt_prog_compiler_wl='-Wl,' + lt_prog_compiler_static='-static' + + case $host_os in + aix*) + # All AIX code is PIC. + if test "$host_cpu" = ia64; then + # AIX 5 now supports IA64 processor + lt_prog_compiler_static='-Bstatic' + fi + ;; + + amigaos*) + case $host_cpu in + powerpc) + # see comment about AmigaOS4 .so support + lt_prog_compiler_pic='-fPIC' + ;; + m68k) + # FIXME: we need at least 68020 code to build shared libraries, but + # adding the `-m68020' flag to GCC prevents building anything better, + # like `-m68040'. + lt_prog_compiler_pic='-m68020 -resident32 -malways-restore-a4' + ;; + esac + ;; + + beos* | irix5* | irix6* | nonstopux* | osf3* | osf4* | osf5*) + # PIC is the default for these OSes. + ;; + + mingw* | cygwin* | pw32* | os2* | cegcc*) + # This hack is so that the source file can tell whether it is being + # built for inclusion in a dll (and should export symbols for example). + # Although the cygwin gcc ignores -fPIC, still need this for old-style + # (--disable-auto-import) libraries + lt_prog_compiler_pic='-DDLL_EXPORT' + ;; + + darwin* | rhapsody*) + # PIC is the default on this platform + # Common symbols not allowed in MH_DYLIB files + lt_prog_compiler_pic='-fno-common' + ;; + + haiku*) + # PIC is the default for Haiku. + # The "-static" flag exists, but is broken. + lt_prog_compiler_static= + ;; + + hpux*) + # PIC is the default for 64-bit PA HP-UX, but not for 32-bit + # PA HP-UX. On IA64 HP-UX, PIC is the default but the pic flag + # sets the default TLS model and affects inlining. + case $host_cpu in + hppa*64*) + # +Z the default + ;; + *) + lt_prog_compiler_pic='-fPIC' + ;; + esac + ;; + + interix[3-9]*) + # Interix 3.x gcc -fpic/-fPIC options generate broken code. + # Instead, we relocate shared libraries at runtime. + ;; + + msdosdjgpp*) + # Just because we use GCC doesn't mean we suddenly get shared libraries + # on systems that don't support them. + lt_prog_compiler_can_build_shared=no + enable_shared=no + ;; + + *nto* | *qnx*) + # QNX uses GNU C++, but need to define -shared option too, otherwise + # it will coredump. + lt_prog_compiler_pic='-fPIC -shared' + ;; + + sysv4*MP*) + if test -d /usr/nec; then + lt_prog_compiler_pic=-Kconform_pic + fi + ;; + + *) + lt_prog_compiler_pic='-fPIC' + ;; + esac + + case $cc_basename in + nvcc*) # Cuda Compiler Driver 2.2 + lt_prog_compiler_wl='-Xlinker ' + lt_prog_compiler_pic='-Xcompiler -fPIC' + ;; + esac + else + # PORTME Check for flag to pass linker flags through the system compiler. + case $host_os in + aix*) + lt_prog_compiler_wl='-Wl,' + if test "$host_cpu" = ia64; then + # AIX 5 now supports IA64 processor + lt_prog_compiler_static='-Bstatic' + else + lt_prog_compiler_static='-bnso -bI:/lib/syscalls.exp' + fi + ;; + + mingw* | cygwin* | pw32* | os2* | cegcc*) + # This hack is so that the source file can tell whether it is being + # built for inclusion in a dll (and should export symbols for example). + lt_prog_compiler_pic='-DDLL_EXPORT' + ;; + + hpux9* | hpux10* | hpux11*) + lt_prog_compiler_wl='-Wl,' + # PIC is the default for IA64 HP-UX and 64-bit HP-UX, but + # not for PA HP-UX. + case $host_cpu in + hppa*64*|ia64*) + # +Z the default + ;; + *) + lt_prog_compiler_pic='+Z' + ;; + esac + # Is there a better lt_prog_compiler_static that works with the bundled CC? + lt_prog_compiler_static='${wl}-a ${wl}archive' + ;; + + irix5* | irix6* | nonstopux*) + lt_prog_compiler_wl='-Wl,' + # PIC (with -KPIC) is the default. + lt_prog_compiler_static='-non_shared' + ;; + + linux* | k*bsd*-gnu | kopensolaris*-gnu) + case $cc_basename in + # old Intel for x86_64 which still supported -KPIC. + ecc*) + lt_prog_compiler_wl='-Wl,' + lt_prog_compiler_pic='-KPIC' + lt_prog_compiler_static='-static' + ;; + # icc used to be incompatible with GCC. + # ICC 10 doesn't accept -KPIC any more. + icc* | ifort*) + lt_prog_compiler_wl='-Wl,' + lt_prog_compiler_pic='-fPIC' + lt_prog_compiler_static='-static' + ;; + # Lahey Fortran 8.1. + lf95*) + lt_prog_compiler_wl='-Wl,' + lt_prog_compiler_pic='--shared' + lt_prog_compiler_static='--static' + ;; + pgcc* | pgf77* | pgf90* | pgf95* | pgfortran*) + # Portland Group compilers (*not* the Pentium gcc compiler, + # which looks to be a dead project) + lt_prog_compiler_wl='-Wl,' + lt_prog_compiler_pic='-fpic' + lt_prog_compiler_static='-Bstatic' + ;; + ccc*) + lt_prog_compiler_wl='-Wl,' + # All Alpha code is PIC. + lt_prog_compiler_static='-non_shared' + ;; + xl* | bgxl* | bgf* | mpixl*) + # IBM XL C 8.0/Fortran 10.1, 11.1 on PPC and BlueGene + lt_prog_compiler_wl='-Wl,' + lt_prog_compiler_pic='-qpic' + lt_prog_compiler_static='-qstaticlink' + ;; + *) + case `$CC -V 2>&1 | sed 5q` in + *Sun\ F* | *Sun*Fortran*) + # Sun Fortran 8.3 passes all unrecognized flags to the linker + lt_prog_compiler_pic='-KPIC' + lt_prog_compiler_static='-Bstatic' + lt_prog_compiler_wl='' + ;; + *Sun\ C*) + # Sun C 5.9 + lt_prog_compiler_pic='-KPIC' + lt_prog_compiler_static='-Bstatic' + lt_prog_compiler_wl='-Wl,' + ;; + esac + ;; + esac + ;; + + newsos6) + lt_prog_compiler_pic='-KPIC' + lt_prog_compiler_static='-Bstatic' + ;; + + *nto* | *qnx*) + # QNX uses GNU C++, but need to define -shared option too, otherwise + # it will coredump. + lt_prog_compiler_pic='-fPIC -shared' + ;; + + osf3* | osf4* | osf5*) + lt_prog_compiler_wl='-Wl,' + # All OSF/1 code is PIC. + lt_prog_compiler_static='-non_shared' + ;; + + rdos*) + lt_prog_compiler_static='-non_shared' + ;; + + solaris*) + lt_prog_compiler_pic='-KPIC' + lt_prog_compiler_static='-Bstatic' + case $cc_basename in + f77* | f90* | f95*) + lt_prog_compiler_wl='-Qoption ld ';; + *) + lt_prog_compiler_wl='-Wl,';; + esac + ;; + + sunos4*) + lt_prog_compiler_wl='-Qoption ld ' + lt_prog_compiler_pic='-PIC' + lt_prog_compiler_static='-Bstatic' + ;; + + sysv4 | sysv4.2uw2* | sysv4.3*) + lt_prog_compiler_wl='-Wl,' + lt_prog_compiler_pic='-KPIC' + lt_prog_compiler_static='-Bstatic' + ;; + + sysv4*MP*) + if test -d /usr/nec ;then + lt_prog_compiler_pic='-Kconform_pic' + lt_prog_compiler_static='-Bstatic' + fi + ;; + + sysv5* | unixware* | sco3.2v5* | sco5v6* | OpenUNIX*) + lt_prog_compiler_wl='-Wl,' + lt_prog_compiler_pic='-KPIC' + lt_prog_compiler_static='-Bstatic' + ;; + + unicos*) + lt_prog_compiler_wl='-Wl,' + lt_prog_compiler_can_build_shared=no + ;; + + uts4*) + lt_prog_compiler_pic='-pic' + lt_prog_compiler_static='-Bstatic' + ;; + + *) + lt_prog_compiler_can_build_shared=no + ;; + esac + fi + +case $host_os in + # For platforms which do not support PIC, -DPIC is meaningless: + *djgpp*) + lt_prog_compiler_pic= + ;; + *) + lt_prog_compiler_pic="$lt_prog_compiler_pic -DPIC" + ;; +esac +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $lt_prog_compiler_pic" >&5 +$as_echo "$lt_prog_compiler_pic" >&6; } + + + + + + +# +# Check to make sure the PIC flag actually works. +# +if test -n "$lt_prog_compiler_pic"; then + { $as_echo "$as_me:${as_lineno-$LINENO}: checking if $compiler PIC flag $lt_prog_compiler_pic works" >&5 +$as_echo_n "checking if $compiler PIC flag $lt_prog_compiler_pic works... " >&6; } +if test "${lt_cv_prog_compiler_pic_works+set}" = set; then : + $as_echo_n "(cached) " >&6 +else + lt_cv_prog_compiler_pic_works=no + ac_outfile=conftest.$ac_objext + echo "$lt_simple_compile_test_code" > conftest.$ac_ext + lt_compiler_flag="$lt_prog_compiler_pic -DPIC" + # Insert the option either (1) after the last *FLAGS variable, or + # (2) before a word containing "conftest.", or (3) at the end. + # Note that $ac_compile itself does not contain backslashes and begins + # with a dollar sign (not a hyphen), so the echo should work correctly. + # The option is referenced via a variable to avoid confusing sed. + lt_compile=`echo "$ac_compile" | $SED \ + -e 's:.*FLAGS}\{0,1\} :&$lt_compiler_flag :; t' \ + -e 's: [^ ]*conftest\.: $lt_compiler_flag&:; t' \ + -e 's:$: $lt_compiler_flag:'` + (eval echo "\"\$as_me:$LINENO: $lt_compile\"" >&5) + (eval "$lt_compile" 2>conftest.err) + ac_status=$? + cat conftest.err >&5 + echo "$as_me:$LINENO: \$? = $ac_status" >&5 + if (exit $ac_status) && test -s "$ac_outfile"; then + # The compiler can only warn and ignore the option if not recognized + # So say no if there are warnings other than the usual output. + $ECHO "$_lt_compiler_boilerplate" | $SED '/^$/d' >conftest.exp + $SED '/^$/d; /^ *+/d' conftest.err >conftest.er2 + if test ! -s conftest.er2 || diff conftest.exp conftest.er2 >/dev/null; then + lt_cv_prog_compiler_pic_works=yes + fi + fi + $RM conftest* + +fi +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $lt_cv_prog_compiler_pic_works" >&5 +$as_echo "$lt_cv_prog_compiler_pic_works" >&6; } + +if test x"$lt_cv_prog_compiler_pic_works" = xyes; then + case $lt_prog_compiler_pic in + "" | " "*) ;; + *) lt_prog_compiler_pic=" $lt_prog_compiler_pic" ;; + esac +else + lt_prog_compiler_pic= + lt_prog_compiler_can_build_shared=no +fi + +fi + + + + + + +# +# Check to make sure the static flag actually works. +# +wl=$lt_prog_compiler_wl eval lt_tmp_static_flag=\"$lt_prog_compiler_static\" +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking if $compiler static flag $lt_tmp_static_flag works" >&5 +$as_echo_n "checking if $compiler static flag $lt_tmp_static_flag works... " >&6; } +if test "${lt_cv_prog_compiler_static_works+set}" = set; then : + $as_echo_n "(cached) " >&6 +else + lt_cv_prog_compiler_static_works=no + save_LDFLAGS="$LDFLAGS" + LDFLAGS="$LDFLAGS $lt_tmp_static_flag" + echo "$lt_simple_link_test_code" > conftest.$ac_ext + if (eval $ac_link 2>conftest.err) && test -s conftest$ac_exeext; then + # The linker can only warn and ignore the option if not recognized + # So say no if there are warnings + if test -s conftest.err; then + # Append any errors to the config.log. + cat conftest.err 1>&5 + $ECHO "$_lt_linker_boilerplate" | $SED '/^$/d' > conftest.exp + $SED '/^$/d; /^ *+/d' conftest.err >conftest.er2 + if diff conftest.exp conftest.er2 >/dev/null; then + lt_cv_prog_compiler_static_works=yes + fi + else + lt_cv_prog_compiler_static_works=yes + fi + fi + $RM -r conftest* + LDFLAGS="$save_LDFLAGS" + +fi +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $lt_cv_prog_compiler_static_works" >&5 +$as_echo "$lt_cv_prog_compiler_static_works" >&6; } + +if test x"$lt_cv_prog_compiler_static_works" = xyes; then + : +else + lt_prog_compiler_static= +fi + + + + + + + + { $as_echo "$as_me:${as_lineno-$LINENO}: checking if $compiler supports -c -o file.$ac_objext" >&5 +$as_echo_n "checking if $compiler supports -c -o file.$ac_objext... " >&6; } +if test "${lt_cv_prog_compiler_c_o+set}" = set; then : + $as_echo_n "(cached) " >&6 +else + lt_cv_prog_compiler_c_o=no + $RM -r conftest 2>/dev/null + mkdir conftest + cd conftest + mkdir out + echo "$lt_simple_compile_test_code" > conftest.$ac_ext + + lt_compiler_flag="-o out/conftest2.$ac_objext" + # Insert the option either (1) after the last *FLAGS variable, or + # (2) before a word containing "conftest.", or (3) at the end. + # Note that $ac_compile itself does not contain backslashes and begins + # with a dollar sign (not a hyphen), so the echo should work correctly. + lt_compile=`echo "$ac_compile" | $SED \ + -e 's:.*FLAGS}\{0,1\} :&$lt_compiler_flag :; t' \ + -e 's: [^ ]*conftest\.: $lt_compiler_flag&:; t' \ + -e 's:$: $lt_compiler_flag:'` + (eval echo "\"\$as_me:$LINENO: $lt_compile\"" >&5) + (eval "$lt_compile" 2>out/conftest.err) + ac_status=$? + cat out/conftest.err >&5 + echo "$as_me:$LINENO: \$? = $ac_status" >&5 + if (exit $ac_status) && test -s out/conftest2.$ac_objext + then + # The compiler can only warn and ignore the option if not recognized + # So say no if there are warnings + $ECHO "$_lt_compiler_boilerplate" | $SED '/^$/d' > out/conftest.exp + $SED '/^$/d; /^ *+/d' out/conftest.err >out/conftest.er2 + if test ! -s out/conftest.er2 || diff out/conftest.exp out/conftest.er2 >/dev/null; then + lt_cv_prog_compiler_c_o=yes + fi + fi + chmod u+w . 2>&5 + $RM conftest* + # SGI C++ compiler will create directory out/ii_files/ for + # template instantiation + test -d out/ii_files && $RM out/ii_files/* && rmdir out/ii_files + $RM out/* && rmdir out + cd .. + $RM -r conftest + $RM conftest* + +fi +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $lt_cv_prog_compiler_c_o" >&5 +$as_echo "$lt_cv_prog_compiler_c_o" >&6; } + + + + + + + { $as_echo "$as_me:${as_lineno-$LINENO}: checking if $compiler supports -c -o file.$ac_objext" >&5 +$as_echo_n "checking if $compiler supports -c -o file.$ac_objext... " >&6; } +if test "${lt_cv_prog_compiler_c_o+set}" = set; then : + $as_echo_n "(cached) " >&6 +else + lt_cv_prog_compiler_c_o=no + $RM -r conftest 2>/dev/null + mkdir conftest + cd conftest + mkdir out + echo "$lt_simple_compile_test_code" > conftest.$ac_ext + + lt_compiler_flag="-o out/conftest2.$ac_objext" + # Insert the option either (1) after the last *FLAGS variable, or + # (2) before a word containing "conftest.", or (3) at the end. + # Note that $ac_compile itself does not contain backslashes and begins + # with a dollar sign (not a hyphen), so the echo should work correctly. + lt_compile=`echo "$ac_compile" | $SED \ + -e 's:.*FLAGS}\{0,1\} :&$lt_compiler_flag :; t' \ + -e 's: [^ ]*conftest\.: $lt_compiler_flag&:; t' \ + -e 's:$: $lt_compiler_flag:'` + (eval echo "\"\$as_me:$LINENO: $lt_compile\"" >&5) + (eval "$lt_compile" 2>out/conftest.err) + ac_status=$? + cat out/conftest.err >&5 + echo "$as_me:$LINENO: \$? = $ac_status" >&5 + if (exit $ac_status) && test -s out/conftest2.$ac_objext + then + # The compiler can only warn and ignore the option if not recognized + # So say no if there are warnings + $ECHO "$_lt_compiler_boilerplate" | $SED '/^$/d' > out/conftest.exp + $SED '/^$/d; /^ *+/d' out/conftest.err >out/conftest.er2 + if test ! -s out/conftest.er2 || diff out/conftest.exp out/conftest.er2 >/dev/null; then + lt_cv_prog_compiler_c_o=yes + fi + fi + chmod u+w . 2>&5 + $RM conftest* + # SGI C++ compiler will create directory out/ii_files/ for + # template instantiation + test -d out/ii_files && $RM out/ii_files/* && rmdir out/ii_files + $RM out/* && rmdir out + cd .. + $RM -r conftest + $RM conftest* + +fi +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $lt_cv_prog_compiler_c_o" >&5 +$as_echo "$lt_cv_prog_compiler_c_o" >&6; } + + + + +hard_links="nottested" +if test "$lt_cv_prog_compiler_c_o" = no && test "$need_locks" != no; then + # do not overwrite the value of need_locks provided by the user + { $as_echo "$as_me:${as_lineno-$LINENO}: checking if we can lock with hard links" >&5 +$as_echo_n "checking if we can lock with hard links... " >&6; } + hard_links=yes + $RM conftest* + ln conftest.a conftest.b 2>/dev/null && hard_links=no + touch conftest.a + ln conftest.a conftest.b 2>&5 || hard_links=no + ln conftest.a conftest.b 2>/dev/null && hard_links=no + { $as_echo "$as_me:${as_lineno-$LINENO}: result: $hard_links" >&5 +$as_echo "$hard_links" >&6; } + if test "$hard_links" = no; then + { $as_echo "$as_me:${as_lineno-$LINENO}: WARNING: \`$CC' does not support \`-c -o', so \`make -j' may be unsafe" >&5 +$as_echo "$as_me: WARNING: \`$CC' does not support \`-c -o', so \`make -j' may be unsafe" >&2;} + need_locks=warn + fi +else + need_locks=no +fi + + + + + + + { $as_echo "$as_me:${as_lineno-$LINENO}: checking whether the $compiler linker ($LD) supports shared libraries" >&5 +$as_echo_n "checking whether the $compiler linker ($LD) supports shared libraries... " >&6; } + + runpath_var= + allow_undefined_flag= + always_export_symbols=no + archive_cmds= + archive_expsym_cmds= + compiler_needs_object=no + enable_shared_with_static_runtimes=no + export_dynamic_flag_spec= + export_symbols_cmds='$NM $libobjs $convenience | $global_symbol_pipe | $SED '\''s/.* //'\'' | sort | uniq > $export_symbols' + hardcode_automatic=no + hardcode_direct=no + hardcode_direct_absolute=no + hardcode_libdir_flag_spec= + hardcode_libdir_flag_spec_ld= + hardcode_libdir_separator= + hardcode_minus_L=no + hardcode_shlibpath_var=unsupported + inherit_rpath=no + link_all_deplibs=unknown + module_cmds= + module_expsym_cmds= + old_archive_from_new_cmds= + old_archive_from_expsyms_cmds= + thread_safe_flag_spec= + whole_archive_flag_spec= + # include_expsyms should be a list of space-separated symbols to be *always* + # included in the symbol list + include_expsyms= + # exclude_expsyms can be an extended regexp of symbols to exclude + # it will be wrapped by ` (' and `)$', so one must not match beginning or + # end of line. Example: `a|bc|.*d.*' will exclude the symbols `a' and `bc', + # as well as any symbol that contains `d'. + exclude_expsyms='_GLOBAL_OFFSET_TABLE_|_GLOBAL__F[ID]_.*' + # Although _GLOBAL_OFFSET_TABLE_ is a valid symbol C name, most a.out + # platforms (ab)use it in PIC code, but their linkers get confused if + # the symbol is explicitly referenced. Since portable code cannot + # rely on this symbol name, it's probably fine to never include it in + # preloaded symbol tables. + # Exclude shared library initialization/finalization symbols. + extract_expsyms_cmds= + + case $host_os in + cygwin* | mingw* | pw32* | cegcc*) + # FIXME: the MSVC++ port hasn't been tested in a loooong time + # When not using gcc, we currently assume that we are using + # Microsoft Visual C++. + if test "$GCC" != yes; then + with_gnu_ld=no + fi + ;; + interix*) + # we just hope/assume this is gcc and not c89 (= MSVC++) + with_gnu_ld=yes + ;; + openbsd*) + with_gnu_ld=no + ;; + esac + + ld_shlibs=yes + + # On some targets, GNU ld is compatible enough with the native linker + # that we're better off using the native interface for both. + lt_use_gnu_ld_interface=no + if test "$with_gnu_ld" = yes; then + case $host_os in + aix*) + # The AIX port of GNU ld has always aspired to compatibility + # with the native linker. However, as the warning in the GNU ld + # block says, versions before 2.19.5* couldn't really create working + # shared libraries, regardless of the interface used. + case `$LD -v 2>&1` in + *\ \(GNU\ Binutils\)\ 2.19.5*) ;; + *\ \(GNU\ Binutils\)\ 2.[2-9]*) ;; + *\ \(GNU\ Binutils\)\ [3-9]*) ;; + *) + lt_use_gnu_ld_interface=yes + ;; + esac + ;; + *) + lt_use_gnu_ld_interface=yes + ;; + esac + fi + + if test "$lt_use_gnu_ld_interface" = yes; then + # If archive_cmds runs LD, not CC, wlarc should be empty + wlarc='${wl}' + + # Set some defaults for GNU ld with shared library support. These + # are reset later if shared libraries are not supported. Putting them + # here allows them to be overridden if necessary. + runpath_var=LD_RUN_PATH + hardcode_libdir_flag_spec='${wl}-rpath ${wl}$libdir' + export_dynamic_flag_spec='${wl}--export-dynamic' + # ancient GNU ld didn't support --whole-archive et. al. + if $LD --help 2>&1 | $GREP 'no-whole-archive' > /dev/null; then + whole_archive_flag_spec="$wlarc"'--whole-archive$convenience '"$wlarc"'--no-whole-archive' + else + whole_archive_flag_spec= + fi + supports_anon_versioning=no + case `$LD -v 2>&1` in + *GNU\ gold*) supports_anon_versioning=yes ;; + *\ [01].* | *\ 2.[0-9].* | *\ 2.10.*) ;; # catch versions < 2.11 + *\ 2.11.93.0.2\ *) supports_anon_versioning=yes ;; # RH7.3 ... + *\ 2.11.92.0.12\ *) supports_anon_versioning=yes ;; # Mandrake 8.2 ... + *\ 2.11.*) ;; # other 2.11 versions + *) supports_anon_versioning=yes ;; + esac + + # See if GNU ld supports shared libraries. + case $host_os in + aix[3-9]*) + # On AIX/PPC, the GNU linker is very broken + if test "$host_cpu" != ia64; then + ld_shlibs=no + cat <<_LT_EOF 1>&2 + +*** Warning: the GNU linker, at least up to release 2.19, is reported +*** to be unable to reliably create shared libraries on AIX. +*** Therefore, libtool is disabling shared libraries support. If you +*** really care for shared libraries, you may want to install binutils +*** 2.20 or above, or modify your PATH so that a non-GNU linker is found. +*** You will then need to restart the configuration process. + +_LT_EOF + fi + ;; + + amigaos*) + case $host_cpu in + powerpc) + # see comment about AmigaOS4 .so support + archive_cmds='$CC -shared $libobjs $deplibs $compiler_flags ${wl}-soname $wl$soname -o $lib' + archive_expsym_cmds='' + ;; + m68k) + archive_cmds='$RM $output_objdir/a2ixlibrary.data~$ECHO "#define NAME $libname" > $output_objdir/a2ixlibrary.data~$ECHO "#define LIBRARY_ID 1" >> $output_objdir/a2ixlibrary.data~$ECHO "#define VERSION $major" >> $output_objdir/a2ixlibrary.data~$ECHO "#define REVISION $revision" >> $output_objdir/a2ixlibrary.data~$AR $AR_FLAGS $lib $libobjs~$RANLIB $lib~(cd $output_objdir && a2ixlibrary -32)' + hardcode_libdir_flag_spec='-L$libdir' + hardcode_minus_L=yes + ;; + esac + ;; + + beos*) + if $LD --help 2>&1 | $GREP ': supported targets:.* elf' > /dev/null; then + allow_undefined_flag=unsupported + # Joseph Beckenbach <jrb3@best.com> says some releases of gcc + # support --undefined. This deserves some investigation. FIXME + archive_cmds='$CC -nostart $libobjs $deplibs $compiler_flags ${wl}-soname $wl$soname -o $lib' + else + ld_shlibs=no + fi + ;; + + cygwin* | mingw* | pw32* | cegcc*) + # _LT_TAGVAR(hardcode_libdir_flag_spec, ) is actually meaningless, + # as there is no search path for DLLs. + hardcode_libdir_flag_spec='-L$libdir' + export_dynamic_flag_spec='${wl}--export-all-symbols' + allow_undefined_flag=unsupported + always_export_symbols=no + enable_shared_with_static_runtimes=yes + export_symbols_cmds='$NM $libobjs $convenience | $global_symbol_pipe | $SED -e '\''/^[BCDGRS][ ]/s/.*[ ]\([^ ]*\)/\1 DATA/'\'' | $SED -e '\''/^[AITW][ ]/s/.*[ ]//'\'' | sort | uniq > $export_symbols' + + if $LD --help 2>&1 | $GREP 'auto-import' > /dev/null; then + archive_cmds='$CC -shared $libobjs $deplibs $compiler_flags -o $output_objdir/$soname ${wl}--enable-auto-image-base -Xlinker --out-implib -Xlinker $lib' + # If the export-symbols file already is a .def file (1st line + # is EXPORTS), use it as is; otherwise, prepend... + archive_expsym_cmds='if test "x`$SED 1q $export_symbols`" = xEXPORTS; then + cp $export_symbols $output_objdir/$soname.def; + else + echo EXPORTS > $output_objdir/$soname.def; + cat $export_symbols >> $output_objdir/$soname.def; + fi~ + $CC -shared $output_objdir/$soname.def $libobjs $deplibs $compiler_flags -o $output_objdir/$soname ${wl}--enable-auto-image-base -Xlinker --out-implib -Xlinker $lib' + else + ld_shlibs=no + fi + ;; + + haiku*) + archive_cmds='$CC -shared $libobjs $deplibs $compiler_flags ${wl}-soname $wl$soname -o $lib' + link_all_deplibs=yes + ;; + + interix[3-9]*) + hardcode_direct=no + hardcode_shlibpath_var=no + hardcode_libdir_flag_spec='${wl}-rpath,$libdir' + export_dynamic_flag_spec='${wl}-E' + # Hack: On Interix 3.x, we cannot compile PIC because of a broken gcc. + # Instead, shared libraries are loaded at an image base (0x10000000 by + # default) and relocated if they conflict, which is a slow very memory + # consuming and fragmenting process. To avoid this, we pick a random, + # 256 KiB-aligned image base between 0x50000000 and 0x6FFC0000 at link + # time. Moving up from 0x10000000 also allows more sbrk(2) space. + archive_cmds='$CC -shared $pic_flag $libobjs $deplibs $compiler_flags ${wl}-h,$soname ${wl}--image-base,`expr ${RANDOM-$$} % 4096 / 2 \* 262144 + 1342177280` -o $lib' + archive_expsym_cmds='sed "s,^,_," $export_symbols >$output_objdir/$soname.expsym~$CC -shared $pic_flag $libobjs $deplibs $compiler_flags ${wl}-h,$soname ${wl}--retain-symbols-file,$output_objdir/$soname.expsym ${wl}--image-base,`expr ${RANDOM-$$} % 4096 / 2 \* 262144 + 1342177280` -o $lib' + ;; + + gnu* | linux* | tpf* | k*bsd*-gnu | kopensolaris*-gnu) + tmp_diet=no + if test "$host_os" = linux-dietlibc; then + case $cc_basename in + diet\ *) tmp_diet=yes;; # linux-dietlibc with static linking (!diet-dyn) + esac + fi + if $LD --help 2>&1 | $EGREP ': supported targets:.* elf' > /dev/null \ + && test "$tmp_diet" = no + then + tmp_addflag= + tmp_sharedflag='-shared' + case $cc_basename,$host_cpu in + pgcc*) # Portland Group C compiler + whole_archive_flag_spec='${wl}--whole-archive`for conv in $convenience\"\"; do test -n \"$conv\" && new_convenience=\"$new_convenience,$conv\"; done; func_echo_all \"$new_convenience\"` ${wl}--no-whole-archive' + tmp_addflag=' $pic_flag' + ;; + pgf77* | pgf90* | pgf95* | pgfortran*) + # Portland Group f77 and f90 compilers + whole_archive_flag_spec='${wl}--whole-archive`for conv in $convenience\"\"; do test -n \"$conv\" && new_convenience=\"$new_convenience,$conv\"; done; func_echo_all \"$new_convenience\"` ${wl}--no-whole-archive' + tmp_addflag=' $pic_flag -Mnomain' ;; + ecc*,ia64* | icc*,ia64*) # Intel C compiler on ia64 + tmp_addflag=' -i_dynamic' ;; + efc*,ia64* | ifort*,ia64*) # Intel Fortran compiler on ia64 + tmp_addflag=' -i_dynamic -nofor_main' ;; + ifc* | ifort*) # Intel Fortran compiler + tmp_addflag=' -nofor_main' ;; + lf95*) # Lahey Fortran 8.1 + whole_archive_flag_spec= + tmp_sharedflag='--shared' ;; + xl[cC]* | bgxl[cC]* | mpixl[cC]*) # IBM XL C 8.0 on PPC (deal with xlf below) + tmp_sharedflag='-qmkshrobj' + tmp_addflag= ;; + nvcc*) # Cuda Compiler Driver 2.2 + whole_archive_flag_spec='${wl}--whole-archive`for conv in $convenience\"\"; do test -n \"$conv\" && new_convenience=\"$new_convenience,$conv\"; done; func_echo_all \"$new_convenience\"` ${wl}--no-whole-archive' + compiler_needs_object=yes + ;; + esac + case `$CC -V 2>&1 | sed 5q` in + *Sun\ C*) # Sun C 5.9 + whole_archive_flag_spec='${wl}--whole-archive`new_convenience=; for conv in $convenience\"\"; do test -z \"$conv\" || new_convenience=\"$new_convenience,$conv\"; done; func_echo_all \"$new_convenience\"` ${wl}--no-whole-archive' + compiler_needs_object=yes + tmp_sharedflag='-G' ;; + *Sun\ F*) # Sun Fortran 8.3 + tmp_sharedflag='-G' ;; + esac + archive_cmds='$CC '"$tmp_sharedflag""$tmp_addflag"' $libobjs $deplibs $compiler_flags ${wl}-soname $wl$soname -o $lib' + + if test "x$supports_anon_versioning" = xyes; then + archive_expsym_cmds='echo "{ global:" > $output_objdir/$libname.ver~ + cat $export_symbols | sed -e "s/\(.*\)/\1;/" >> $output_objdir/$libname.ver~ + echo "local: *; };" >> $output_objdir/$libname.ver~ + $CC '"$tmp_sharedflag""$tmp_addflag"' $libobjs $deplibs $compiler_flags ${wl}-soname $wl$soname ${wl}-version-script ${wl}$output_objdir/$libname.ver -o $lib' + fi + + case $cc_basename in + xlf* | bgf* | bgxlf* | mpixlf*) + # IBM XL Fortran 10.1 on PPC cannot create shared libs itself + whole_archive_flag_spec='--whole-archive$convenience --no-whole-archive' + hardcode_libdir_flag_spec= + hardcode_libdir_flag_spec_ld='-rpath $libdir' + archive_cmds='$LD -shared $libobjs $deplibs $compiler_flags -soname $soname -o $lib' + if test "x$supports_anon_versioning" = xyes; then + archive_expsym_cmds='echo "{ global:" > $output_objdir/$libname.ver~ + cat $export_symbols | sed -e "s/\(.*\)/\1;/" >> $output_objdir/$libname.ver~ + echo "local: *; };" >> $output_objdir/$libname.ver~ + $LD -shared $libobjs $deplibs $compiler_flags -soname $soname -version-script $output_objdir/$libname.ver -o $lib' + fi + ;; + esac + else + ld_shlibs=no + fi + ;; + + netbsd*) + if echo __ELF__ | $CC -E - | $GREP __ELF__ >/dev/null; then + archive_cmds='$LD -Bshareable $libobjs $deplibs $linker_flags -o $lib' + wlarc= + else + archive_cmds='$CC -shared $libobjs $deplibs $compiler_flags ${wl}-soname $wl$soname -o $lib' + archive_expsym_cmds='$CC -shared $libobjs $deplibs $compiler_flags ${wl}-soname $wl$soname ${wl}-retain-symbols-file $wl$export_symbols -o $lib' + fi + ;; + + solaris*) + if $LD -v 2>&1 | $GREP 'BFD 2\.8' > /dev/null; then + ld_shlibs=no + cat <<_LT_EOF 1>&2 + +*** Warning: The releases 2.8.* of the GNU linker cannot reliably +*** create shared libraries on Solaris systems. Therefore, libtool +*** is disabling shared libraries support. We urge you to upgrade GNU +*** binutils to release 2.9.1 or newer. Another option is to modify +*** your PATH or compiler configuration so that the native linker is +*** used, and then restart. + +_LT_EOF + elif $LD --help 2>&1 | $GREP ': supported targets:.* elf' > /dev/null; then + archive_cmds='$CC -shared $libobjs $deplibs $compiler_flags ${wl}-soname $wl$soname -o $lib' + archive_expsym_cmds='$CC -shared $libobjs $deplibs $compiler_flags ${wl}-soname $wl$soname ${wl}-retain-symbols-file $wl$export_symbols -o $lib' + else + ld_shlibs=no + fi + ;; + + sysv5* | sco3.2v5* | sco5v6* | unixware* | OpenUNIX*) + case `$LD -v 2>&1` in + *\ [01].* | *\ 2.[0-9].* | *\ 2.1[0-5].*) + ld_shlibs=no + cat <<_LT_EOF 1>&2 + +*** Warning: Releases of the GNU linker prior to 2.16.91.0.3 can not +*** reliably create shared libraries on SCO systems. Therefore, libtool +*** is disabling shared libraries support. We urge you to upgrade GNU +*** binutils to release 2.16.91.0.3 or newer. Another option is to modify +*** your PATH or compiler configuration so that the native linker is +*** used, and then restart. + +_LT_EOF + ;; + *) + # For security reasons, it is highly recommended that you always + # use absolute paths for naming shared libraries, and exclude the + # DT_RUNPATH tag from executables and libraries. But doing so + # requires that you compile everything twice, which is a pain. + if $LD --help 2>&1 | $GREP ': supported targets:.* elf' > /dev/null; then + hardcode_libdir_flag_spec='${wl}-rpath ${wl}$libdir' + archive_cmds='$CC -shared $libobjs $deplibs $compiler_flags ${wl}-soname $wl$soname -o $lib' + archive_expsym_cmds='$CC -shared $libobjs $deplibs $compiler_flags ${wl}-soname $wl$soname ${wl}-retain-symbols-file $wl$export_symbols -o $lib' + else + ld_shlibs=no + fi + ;; + esac + ;; + + sunos4*) + archive_cmds='$LD -assert pure-text -Bshareable -o $lib $libobjs $deplibs $linker_flags' + wlarc= + hardcode_direct=yes + hardcode_shlibpath_var=no + ;; + + *) + if $LD --help 2>&1 | $GREP ': supported targets:.* elf' > /dev/null; then + archive_cmds='$CC -shared $libobjs $deplibs $compiler_flags ${wl}-soname $wl$soname -o $lib' + archive_expsym_cmds='$CC -shared $libobjs $deplibs $compiler_flags ${wl}-soname $wl$soname ${wl}-retain-symbols-file $wl$export_symbols -o $lib' + else + ld_shlibs=no + fi + ;; + esac + + if test "$ld_shlibs" = no; then + runpath_var= + hardcode_libdir_flag_spec= + export_dynamic_flag_spec= + whole_archive_flag_spec= + fi + else + # PORTME fill in a description of your system's linker (not GNU ld) + case $host_os in + aix3*) + allow_undefined_flag=unsupported + always_export_symbols=yes + archive_expsym_cmds='$LD -o $output_objdir/$soname $libobjs $deplibs $linker_flags -bE:$export_symbols -T512 -H512 -bM:SRE~$AR $AR_FLAGS $lib $output_objdir/$soname' + # Note: this linker hardcodes the directories in LIBPATH if there + # are no directories specified by -L. + hardcode_minus_L=yes + if test "$GCC" = yes && test -z "$lt_prog_compiler_static"; then + # Neither direct hardcoding nor static linking is supported with a + # broken collect2. + hardcode_direct=unsupported + fi + ;; + + aix[4-9]*) + if test "$host_cpu" = ia64; then + # On IA64, the linker does run time linking by default, so we don't + # have to do anything special. + aix_use_runtimelinking=no + exp_sym_flag='-Bexport' + no_entry_flag="" + else + # If we're using GNU nm, then we don't want the "-C" option. + # -C means demangle to AIX nm, but means don't demangle with GNU nm + # Also, AIX nm treats weak defined symbols like other global + # defined symbols, whereas GNU nm marks them as "W". + if $NM -V 2>&1 | $GREP 'GNU' > /dev/null; then + export_symbols_cmds='$NM -Bpg $libobjs $convenience | awk '\''{ if (((\$ 2 == "T") || (\$ 2 == "D") || (\$ 2 == "B") || (\$ 2 == "W")) && (substr(\$ 3,1,1) != ".")) { print \$ 3 } }'\'' | sort -u > $export_symbols' + else + export_symbols_cmds='$NM -BCpg $libobjs $convenience | awk '\''{ if (((\$ 2 == "T") || (\$ 2 == "D") || (\$ 2 == "B")) && (substr(\$ 3,1,1) != ".")) { print \$ 3 } }'\'' | sort -u > $export_symbols' + fi + aix_use_runtimelinking=no + + # Test if we are trying to use run time linking or normal + # AIX style linking. If -brtl is somewhere in LDFLAGS, we + # need to do runtime linking. + case $host_os in aix4.[23]|aix4.[23].*|aix[5-9]*) + for ld_flag in $LDFLAGS; do + if (test $ld_flag = "-brtl" || test $ld_flag = "-Wl,-brtl"); then + aix_use_runtimelinking=yes + break + fi + done + ;; + esac + + exp_sym_flag='-bexport' + no_entry_flag='-bnoentry' + fi + + # When large executables or shared objects are built, AIX ld can + # have problems creating the table of contents. If linking a library + # or program results in "error TOC overflow" add -mminimal-toc to + # CXXFLAGS/CFLAGS for g++/gcc. In the cases where that is not + # enough to fix the problem, add -Wl,-bbigtoc to LDFLAGS. + + archive_cmds='' + hardcode_direct=yes + hardcode_direct_absolute=yes + hardcode_libdir_separator=':' + link_all_deplibs=yes + file_list_spec='${wl}-f,' + + if test "$GCC" = yes; then + case $host_os in aix4.[012]|aix4.[012].*) + # We only want to do this on AIX 4.2 and lower, the check + # below for broken collect2 doesn't work under 4.3+ + collect2name=`${CC} -print-prog-name=collect2` + if test -f "$collect2name" && + strings "$collect2name" | $GREP resolve_lib_name >/dev/null + then + # We have reworked collect2 + : + else + # We have old collect2 + hardcode_direct=unsupported + # It fails to find uninstalled libraries when the uninstalled + # path is not listed in the libpath. Setting hardcode_minus_L + # to unsupported forces relinking + hardcode_minus_L=yes + hardcode_libdir_flag_spec='-L$libdir' + hardcode_libdir_separator= + fi + ;; + esac + shared_flag='-shared' + if test "$aix_use_runtimelinking" = yes; then + shared_flag="$shared_flag "'${wl}-G' + fi + else + # not using gcc + if test "$host_cpu" = ia64; then + # VisualAge C++, Version 5.5 for AIX 5L for IA-64, Beta 3 Release + # chokes on -Wl,-G. The following line is correct: + shared_flag='-G' + else + if test "$aix_use_runtimelinking" = yes; then + shared_flag='${wl}-G' + else + shared_flag='${wl}-bM:SRE' + fi + fi + fi + + export_dynamic_flag_spec='${wl}-bexpall' + # It seems that -bexpall does not export symbols beginning with + # underscore (_), so it is better to generate a list of symbols to export. + always_export_symbols=yes + if test "$aix_use_runtimelinking" = yes; then + # Warning - without using the other runtime loading flags (-brtl), + # -berok will link without error, but may produce a broken library. + allow_undefined_flag='-berok' + # Determine the default libpath from the value encoded in an + # empty executable. + if test x$gcc_no_link = xyes; then + as_fn_error "Link tests are not allowed after GCC_NO_EXECUTABLES." "$LINENO" 5 +fi +cat confdefs.h - <<_ACEOF >conftest.$ac_ext +/* end confdefs.h. */ + +int +main () +{ + + ; + return 0; +} +_ACEOF +if ac_fn_c_try_link "$LINENO"; then : + +lt_aix_libpath_sed=' + /Import File Strings/,/^$/ { + /^0/ { + s/^0 *\(.*\)$/\1/ + p + } + }' +aix_libpath=`dump -H conftest$ac_exeext 2>/dev/null | $SED -n -e "$lt_aix_libpath_sed"` +# Check for a 64-bit object if we didn't find anything. +if test -z "$aix_libpath"; then + aix_libpath=`dump -HX64 conftest$ac_exeext 2>/dev/null | $SED -n -e "$lt_aix_libpath_sed"` +fi +fi +rm -f core conftest.err conftest.$ac_objext \ + conftest$ac_exeext conftest.$ac_ext +if test -z "$aix_libpath"; then aix_libpath="/usr/lib:/lib"; fi + + hardcode_libdir_flag_spec='${wl}-blibpath:$libdir:'"$aix_libpath" + archive_expsym_cmds='$CC -o $output_objdir/$soname $libobjs $deplibs '"\${wl}$no_entry_flag"' $compiler_flags `if test "x${allow_undefined_flag}" != "x"; then func_echo_all "${wl}${allow_undefined_flag}"; else :; fi` '"\${wl}$exp_sym_flag:\$export_symbols $shared_flag" + else + if test "$host_cpu" = ia64; then + hardcode_libdir_flag_spec='${wl}-R $libdir:/usr/lib:/lib' + allow_undefined_flag="-z nodefs" + archive_expsym_cmds="\$CC $shared_flag"' -o $output_objdir/$soname $libobjs $deplibs '"\${wl}$no_entry_flag"' $compiler_flags ${wl}${allow_undefined_flag} '"\${wl}$exp_sym_flag:\$export_symbols" + else + # Determine the default libpath from the value encoded in an + # empty executable. + if test x$gcc_no_link = xyes; then + as_fn_error "Link tests are not allowed after GCC_NO_EXECUTABLES." "$LINENO" 5 +fi +cat confdefs.h - <<_ACEOF >conftest.$ac_ext +/* end confdefs.h. */ + +int +main () +{ + + ; + return 0; +} +_ACEOF +if ac_fn_c_try_link "$LINENO"; then : + +lt_aix_libpath_sed=' + /Import File Strings/,/^$/ { + /^0/ { + s/^0 *\(.*\)$/\1/ + p + } + }' +aix_libpath=`dump -H conftest$ac_exeext 2>/dev/null | $SED -n -e "$lt_aix_libpath_sed"` +# Check for a 64-bit object if we didn't find anything. +if test -z "$aix_libpath"; then + aix_libpath=`dump -HX64 conftest$ac_exeext 2>/dev/null | $SED -n -e "$lt_aix_libpath_sed"` +fi +fi +rm -f core conftest.err conftest.$ac_objext \ + conftest$ac_exeext conftest.$ac_ext +if test -z "$aix_libpath"; then aix_libpath="/usr/lib:/lib"; fi + + hardcode_libdir_flag_spec='${wl}-blibpath:$libdir:'"$aix_libpath" + # Warning - without using the other run time loading flags, + # -berok will link without error, but may produce a broken library. + no_undefined_flag=' ${wl}-bernotok' + allow_undefined_flag=' ${wl}-berok' + if test "$with_gnu_ld" = yes; then + # We only use this code for GNU lds that support --whole-archive. + whole_archive_flag_spec='${wl}--whole-archive$convenience ${wl}--no-whole-archive' + else + # Exported symbols can be pulled into shared objects from archives + whole_archive_flag_spec='$convenience' + fi + archive_cmds_need_lc=yes + # This is similar to how AIX traditionally builds its shared libraries. + archive_expsym_cmds="\$CC $shared_flag"' -o $output_objdir/$soname $libobjs $deplibs ${wl}-bnoentry $compiler_flags ${wl}-bE:$export_symbols${allow_undefined_flag}~$AR $AR_FLAGS $output_objdir/$libname$release.a $output_objdir/$soname' + fi + fi + ;; + + amigaos*) + case $host_cpu in + powerpc) + # see comment about AmigaOS4 .so support + archive_cmds='$CC -shared $libobjs $deplibs $compiler_flags ${wl}-soname $wl$soname -o $lib' + archive_expsym_cmds='' + ;; + m68k) + archive_cmds='$RM $output_objdir/a2ixlibrary.data~$ECHO "#define NAME $libname" > $output_objdir/a2ixlibrary.data~$ECHO "#define LIBRARY_ID 1" >> $output_objdir/a2ixlibrary.data~$ECHO "#define VERSION $major" >> $output_objdir/a2ixlibrary.data~$ECHO "#define REVISION $revision" >> $output_objdir/a2ixlibrary.data~$AR $AR_FLAGS $lib $libobjs~$RANLIB $lib~(cd $output_objdir && a2ixlibrary -32)' + hardcode_libdir_flag_spec='-L$libdir' + hardcode_minus_L=yes + ;; + esac + ;; + + bsdi[45]*) + export_dynamic_flag_spec=-rdynamic + ;; + + cygwin* | mingw* | pw32* | cegcc*) + # When not using gcc, we currently assume that we are using + # Microsoft Visual C++. + # hardcode_libdir_flag_spec is actually meaningless, as there is + # no search path for DLLs. + hardcode_libdir_flag_spec=' ' + allow_undefined_flag=unsupported + # Tell ltmain to make .lib files, not .a files. + libext=lib + # Tell ltmain to make .dll files, not .so files. + shrext_cmds=".dll" + # FIXME: Setting linknames here is a bad hack. + archive_cmds='$CC -o $lib $libobjs $compiler_flags `func_echo_all "$deplibs" | $SED '\''s/ -lc$//'\''` -link -dll~linknames=' + # The linker will automatically build a .lib file if we build a DLL. + old_archive_from_new_cmds='true' + # FIXME: Should let the user specify the lib program. + old_archive_cmds='lib -OUT:$oldlib$oldobjs$old_deplibs' + fix_srcfile_path='`cygpath -w "$srcfile"`' + enable_shared_with_static_runtimes=yes + ;; + + darwin* | rhapsody*) + + + archive_cmds_need_lc=no + hardcode_direct=no + hardcode_automatic=yes + hardcode_shlibpath_var=unsupported + if test "$lt_cv_ld_force_load" = "yes"; then + whole_archive_flag_spec='`for conv in $convenience\"\"; do test -n \"$conv\" && new_convenience=\"$new_convenience ${wl}-force_load,$conv\"; done; func_echo_all \"$new_convenience\"`' + else + whole_archive_flag_spec='' + fi + link_all_deplibs=yes + allow_undefined_flag="$_lt_dar_allow_undefined" + case $cc_basename in + ifort*) _lt_dar_can_shared=yes ;; + *) _lt_dar_can_shared=$GCC ;; + esac + if test "$_lt_dar_can_shared" = "yes"; then + output_verbose_link_cmd=func_echo_all + archive_cmds="\$CC -dynamiclib \$allow_undefined_flag -o \$lib \$libobjs \$deplibs \$compiler_flags -install_name \$rpath/\$soname \$verstring $_lt_dar_single_mod${_lt_dsymutil}" + module_cmds="\$CC \$allow_undefined_flag -o \$lib -bundle \$libobjs \$deplibs \$compiler_flags${_lt_dsymutil}" + archive_expsym_cmds="sed 's,^,_,' < \$export_symbols > \$output_objdir/\${libname}-symbols.expsym~\$CC -dynamiclib \$allow_undefined_flag -o \$lib \$libobjs \$deplibs \$compiler_flags -install_name \$rpath/\$soname \$verstring ${_lt_dar_single_mod}${_lt_dar_export_syms}${_lt_dsymutil}" + module_expsym_cmds="sed -e 's,^,_,' < \$export_symbols > \$output_objdir/\${libname}-symbols.expsym~\$CC \$allow_undefined_flag -o \$lib -bundle \$libobjs \$deplibs \$compiler_flags${_lt_dar_export_syms}${_lt_dsymutil}" + + else + ld_shlibs=no + fi + + ;; + + dgux*) + archive_cmds='$LD -G -h $soname -o $lib $libobjs $deplibs $linker_flags' + hardcode_libdir_flag_spec='-L$libdir' + hardcode_shlibpath_var=no + ;; + + # FreeBSD 2.2.[012] allows us to include c++rt0.o to get C++ constructor + # support. Future versions do this automatically, but an explicit c++rt0.o + # does not break anything, and helps significantly (at the cost of a little + # extra space). + freebsd2.2*) + archive_cmds='$LD -Bshareable -o $lib $libobjs $deplibs $linker_flags /usr/lib/c++rt0.o' + hardcode_libdir_flag_spec='-R$libdir' + hardcode_direct=yes + hardcode_shlibpath_var=no + ;; + + # Unfortunately, older versions of FreeBSD 2 do not have this feature. + freebsd2.*) + archive_cmds='$LD -Bshareable -o $lib $libobjs $deplibs $linker_flags' + hardcode_direct=yes + hardcode_minus_L=yes + hardcode_shlibpath_var=no + ;; + + # FreeBSD 3 and greater uses gcc -shared to do shared libraries. + freebsd* | dragonfly*) + archive_cmds='$CC -shared -o $lib $libobjs $deplibs $compiler_flags' + hardcode_libdir_flag_spec='-R$libdir' + hardcode_direct=yes + hardcode_shlibpath_var=no + ;; + + hpux9*) + if test "$GCC" = yes; then + archive_cmds='$RM $output_objdir/$soname~$CC -shared -fPIC ${wl}+b ${wl}$install_libdir -o $output_objdir/$soname $libobjs $deplibs $compiler_flags~test $output_objdir/$soname = $lib || mv $output_objdir/$soname $lib' + else + archive_cmds='$RM $output_objdir/$soname~$LD -b +b $install_libdir -o $output_objdir/$soname $libobjs $deplibs $linker_flags~test $output_objdir/$soname = $lib || mv $output_objdir/$soname $lib' + fi + hardcode_libdir_flag_spec='${wl}+b ${wl}$libdir' + hardcode_libdir_separator=: + hardcode_direct=yes + + # hardcode_minus_L: Not really in the search PATH, + # but as the default location of the library. + hardcode_minus_L=yes + export_dynamic_flag_spec='${wl}-E' + ;; + + hpux10*) + if test "$GCC" = yes && test "$with_gnu_ld" = no; then + archive_cmds='$CC -shared -fPIC ${wl}+h ${wl}$soname ${wl}+b ${wl}$install_libdir -o $lib $libobjs $deplibs $compiler_flags' + else + archive_cmds='$LD -b +h $soname +b $install_libdir -o $lib $libobjs $deplibs $linker_flags' + fi + if test "$with_gnu_ld" = no; then + hardcode_libdir_flag_spec='${wl}+b ${wl}$libdir' + hardcode_libdir_flag_spec_ld='+b $libdir' + hardcode_libdir_separator=: + hardcode_direct=yes + hardcode_direct_absolute=yes + export_dynamic_flag_spec='${wl}-E' + # hardcode_minus_L: Not really in the search PATH, + # but as the default location of the library. + hardcode_minus_L=yes + fi + ;; + + hpux11*) + if test "$GCC" = yes && test "$with_gnu_ld" = no; then + case $host_cpu in + hppa*64*) + archive_cmds='$CC -shared ${wl}+h ${wl}$soname -o $lib $libobjs $deplibs $compiler_flags' + ;; + ia64*) + archive_cmds='$CC -shared -fPIC ${wl}+h ${wl}$soname ${wl}+nodefaultrpath -o $lib $libobjs $deplibs $compiler_flags' + ;; + *) + archive_cmds='$CC -shared -fPIC ${wl}+h ${wl}$soname ${wl}+b ${wl}$install_libdir -o $lib $libobjs $deplibs $compiler_flags' + ;; + esac + else + case $host_cpu in + hppa*64*) + archive_cmds='$CC -b ${wl}+h ${wl}$soname -o $lib $libobjs $deplibs $compiler_flags' + ;; + ia64*) + archive_cmds='$CC -b ${wl}+h ${wl}$soname ${wl}+nodefaultrpath -o $lib $libobjs $deplibs $compiler_flags' + ;; + *) + + # Older versions of the 11.00 compiler do not understand -b yet + # (HP92453-01 A.11.01.20 doesn't, HP92453-01 B.11.X.35175-35176.GP does) + { $as_echo "$as_me:${as_lineno-$LINENO}: checking if $CC understands -b" >&5 +$as_echo_n "checking if $CC understands -b... " >&6; } +if test "${lt_cv_prog_compiler__b+set}" = set; then : + $as_echo_n "(cached) " >&6 +else + lt_cv_prog_compiler__b=no + save_LDFLAGS="$LDFLAGS" + LDFLAGS="$LDFLAGS -b" + echo "$lt_simple_link_test_code" > conftest.$ac_ext + if (eval $ac_link 2>conftest.err) && test -s conftest$ac_exeext; then + # The linker can only warn and ignore the option if not recognized + # So say no if there are warnings + if test -s conftest.err; then + # Append any errors to the config.log. + cat conftest.err 1>&5 + $ECHO "$_lt_linker_boilerplate" | $SED '/^$/d' > conftest.exp + $SED '/^$/d; /^ *+/d' conftest.err >conftest.er2 + if diff conftest.exp conftest.er2 >/dev/null; then + lt_cv_prog_compiler__b=yes + fi + else + lt_cv_prog_compiler__b=yes + fi + fi + $RM -r conftest* + LDFLAGS="$save_LDFLAGS" + +fi +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $lt_cv_prog_compiler__b" >&5 +$as_echo "$lt_cv_prog_compiler__b" >&6; } + +if test x"$lt_cv_prog_compiler__b" = xyes; then + archive_cmds='$CC -b ${wl}+h ${wl}$soname ${wl}+b ${wl}$install_libdir -o $lib $libobjs $deplibs $compiler_flags' +else + archive_cmds='$LD -b +h $soname +b $install_libdir -o $lib $libobjs $deplibs $linker_flags' +fi + + ;; + esac + fi + if test "$with_gnu_ld" = no; then + hardcode_libdir_flag_spec='${wl}+b ${wl}$libdir' + hardcode_libdir_separator=: + + case $host_cpu in + hppa*64*|ia64*) + hardcode_direct=no + hardcode_shlibpath_var=no + ;; + *) + hardcode_direct=yes + hardcode_direct_absolute=yes + export_dynamic_flag_spec='${wl}-E' + + # hardcode_minus_L: Not really in the search PATH, + # but as the default location of the library. + hardcode_minus_L=yes + ;; + esac + fi + ;; + + irix5* | irix6* | nonstopux*) + if test "$GCC" = yes; then + archive_cmds='$CC -shared $libobjs $deplibs $compiler_flags ${wl}-soname ${wl}$soname `test -n "$verstring" && func_echo_all "${wl}-set_version ${wl}$verstring"` ${wl}-update_registry ${wl}${output_objdir}/so_locations -o $lib' + # Try to use the -exported_symbol ld option, if it does not + # work, assume that -exports_file does not work either and + # implicitly export all symbols. + save_LDFLAGS="$LDFLAGS" + LDFLAGS="$LDFLAGS -shared ${wl}-exported_symbol ${wl}foo ${wl}-update_registry ${wl}/dev/null" + if test x$gcc_no_link = xyes; then + as_fn_error "Link tests are not allowed after GCC_NO_EXECUTABLES." "$LINENO" 5 +fi +cat confdefs.h - <<_ACEOF >conftest.$ac_ext +/* end confdefs.h. */ +int foo(void) {} +_ACEOF +if ac_fn_c_try_link "$LINENO"; then : + archive_expsym_cmds='$CC -shared $libobjs $deplibs $compiler_flags ${wl}-soname ${wl}$soname `test -n "$verstring" && func_echo_all "${wl}-set_version ${wl}$verstring"` ${wl}-update_registry ${wl}${output_objdir}/so_locations ${wl}-exports_file ${wl}$export_symbols -o $lib' + +fi +rm -f core conftest.err conftest.$ac_objext \ + conftest$ac_exeext conftest.$ac_ext + LDFLAGS="$save_LDFLAGS" + else + archive_cmds='$CC -shared $libobjs $deplibs $compiler_flags -soname $soname `test -n "$verstring" && func_echo_all "-set_version $verstring"` -update_registry ${output_objdir}/so_locations -o $lib' + archive_expsym_cmds='$CC -shared $libobjs $deplibs $compiler_flags -soname $soname `test -n "$verstring" && func_echo_all "-set_version $verstring"` -update_registry ${output_objdir}/so_locations -exports_file $export_symbols -o $lib' + fi + archive_cmds_need_lc='no' + hardcode_libdir_flag_spec='${wl}-rpath ${wl}$libdir' + hardcode_libdir_separator=: + inherit_rpath=yes + link_all_deplibs=yes + ;; + + netbsd*) + if echo __ELF__ | $CC -E - | $GREP __ELF__ >/dev/null; then + archive_cmds='$LD -Bshareable -o $lib $libobjs $deplibs $linker_flags' # a.out + else + archive_cmds='$LD -shared -o $lib $libobjs $deplibs $linker_flags' # ELF + fi + hardcode_libdir_flag_spec='-R$libdir' + hardcode_direct=yes + hardcode_shlibpath_var=no + ;; + + newsos6) + archive_cmds='$LD -G -h $soname -o $lib $libobjs $deplibs $linker_flags' + hardcode_direct=yes + hardcode_libdir_flag_spec='${wl}-rpath ${wl}$libdir' + hardcode_libdir_separator=: + hardcode_shlibpath_var=no + ;; + + *nto* | *qnx*) + ;; + + openbsd*) + if test -f /usr/libexec/ld.so; then + hardcode_direct=yes + hardcode_shlibpath_var=no + hardcode_direct_absolute=yes + if test -z "`echo __ELF__ | $CC -E - | $GREP __ELF__`" || test "$host_os-$host_cpu" = "openbsd2.8-powerpc"; then + archive_cmds='$CC -shared $pic_flag -o $lib $libobjs $deplibs $compiler_flags' + archive_expsym_cmds='$CC -shared $pic_flag -o $lib $libobjs $deplibs $compiler_flags ${wl}-retain-symbols-file,$export_symbols' + hardcode_libdir_flag_spec='${wl}-rpath,$libdir' + export_dynamic_flag_spec='${wl}-E' + else + case $host_os in + openbsd[01].* | openbsd2.[0-7] | openbsd2.[0-7].*) + archive_cmds='$LD -Bshareable -o $lib $libobjs $deplibs $linker_flags' + hardcode_libdir_flag_spec='-R$libdir' + ;; + *) + archive_cmds='$CC -shared $pic_flag -o $lib $libobjs $deplibs $compiler_flags' + hardcode_libdir_flag_spec='${wl}-rpath,$libdir' + ;; + esac + fi + else + ld_shlibs=no + fi + ;; + + os2*) + hardcode_libdir_flag_spec='-L$libdir' + hardcode_minus_L=yes + allow_undefined_flag=unsupported + archive_cmds='$ECHO "LIBRARY $libname INITINSTANCE" > $output_objdir/$libname.def~$ECHO "DESCRIPTION \"$libname\"" >> $output_objdir/$libname.def~echo DATA >> $output_objdir/$libname.def~echo " SINGLE NONSHARED" >> $output_objdir/$libname.def~echo EXPORTS >> $output_objdir/$libname.def~emxexp $libobjs >> $output_objdir/$libname.def~$CC -Zdll -Zcrtdll -o $lib $libobjs $deplibs $compiler_flags $output_objdir/$libname.def' + old_archive_from_new_cmds='emximp -o $output_objdir/$libname.a $output_objdir/$libname.def' + ;; + + osf3*) + if test "$GCC" = yes; then + allow_undefined_flag=' ${wl}-expect_unresolved ${wl}\*' + archive_cmds='$CC -shared${allow_undefined_flag} $libobjs $deplibs $compiler_flags ${wl}-soname ${wl}$soname `test -n "$verstring" && func_echo_all "${wl}-set_version ${wl}$verstring"` ${wl}-update_registry ${wl}${output_objdir}/so_locations -o $lib' + else + allow_undefined_flag=' -expect_unresolved \*' + archive_cmds='$CC -shared${allow_undefined_flag} $libobjs $deplibs $compiler_flags -soname $soname `test -n "$verstring" && func_echo_all "-set_version $verstring"` -update_registry ${output_objdir}/so_locations -o $lib' + fi + archive_cmds_need_lc='no' + hardcode_libdir_flag_spec='${wl}-rpath ${wl}$libdir' + hardcode_libdir_separator=: + ;; + + osf4* | osf5*) # as osf3* with the addition of -msym flag + if test "$GCC" = yes; then + allow_undefined_flag=' ${wl}-expect_unresolved ${wl}\*' + archive_cmds='$CC -shared${allow_undefined_flag} $libobjs $deplibs $compiler_flags ${wl}-msym ${wl}-soname ${wl}$soname `test -n "$verstring" && func_echo_all "${wl}-set_version ${wl}$verstring"` ${wl}-update_registry ${wl}${output_objdir}/so_locations -o $lib' + hardcode_libdir_flag_spec='${wl}-rpath ${wl}$libdir' + else + allow_undefined_flag=' -expect_unresolved \*' + archive_cmds='$CC -shared${allow_undefined_flag} $libobjs $deplibs $compiler_flags -msym -soname $soname `test -n "$verstring" && func_echo_all "-set_version $verstring"` -update_registry ${output_objdir}/so_locations -o $lib' + archive_expsym_cmds='for i in `cat $export_symbols`; do printf "%s %s\\n" -exported_symbol "\$i" >> $lib.exp; done; printf "%s\\n" "-hidden">> $lib.exp~ + $CC -shared${allow_undefined_flag} ${wl}-input ${wl}$lib.exp $compiler_flags $libobjs $deplibs -soname $soname `test -n "$verstring" && $ECHO "-set_version $verstring"` -update_registry ${output_objdir}/so_locations -o $lib~$RM $lib.exp' + + # Both c and cxx compiler support -rpath directly + hardcode_libdir_flag_spec='-rpath $libdir' + fi + archive_cmds_need_lc='no' + hardcode_libdir_separator=: + ;; + + solaris*) + no_undefined_flag=' -z defs' + if test "$GCC" = yes; then + wlarc='${wl}' + archive_cmds='$CC -shared ${wl}-z ${wl}text ${wl}-h ${wl}$soname -o $lib $libobjs $deplibs $compiler_flags' + archive_expsym_cmds='echo "{ global:" > $lib.exp~cat $export_symbols | $SED -e "s/\(.*\)/\1;/" >> $lib.exp~echo "local: *; };" >> $lib.exp~ + $CC -shared ${wl}-z ${wl}text ${wl}-M ${wl}$lib.exp ${wl}-h ${wl}$soname -o $lib $libobjs $deplibs $compiler_flags~$RM $lib.exp' + else + case `$CC -V 2>&1` in + *"Compilers 5.0"*) + wlarc='' + archive_cmds='$LD -G${allow_undefined_flag} -h $soname -o $lib $libobjs $deplibs $linker_flags' + archive_expsym_cmds='echo "{ global:" > $lib.exp~cat $export_symbols | $SED -e "s/\(.*\)/\1;/" >> $lib.exp~echo "local: *; };" >> $lib.exp~ + $LD -G${allow_undefined_flag} -M $lib.exp -h $soname -o $lib $libobjs $deplibs $linker_flags~$RM $lib.exp' + ;; + *) + wlarc='${wl}' + archive_cmds='$CC -G${allow_undefined_flag} -h $soname -o $lib $libobjs $deplibs $compiler_flags' + archive_expsym_cmds='echo "{ global:" > $lib.exp~cat $export_symbols | $SED -e "s/\(.*\)/\1;/" >> $lib.exp~echo "local: *; };" >> $lib.exp~ + $CC -G${allow_undefined_flag} -M $lib.exp -h $soname -o $lib $libobjs $deplibs $compiler_flags~$RM $lib.exp' + ;; + esac + fi + hardcode_libdir_flag_spec='-R$libdir' + hardcode_shlibpath_var=no + case $host_os in + solaris2.[0-5] | solaris2.[0-5].*) ;; + *) + # The compiler driver will combine and reorder linker options, + # but understands `-z linker_flag'. GCC discards it without `$wl', + # but is careful enough not to reorder. + # Supported since Solaris 2.6 (maybe 2.5.1?) + if test "$GCC" = yes; then + whole_archive_flag_spec='${wl}-z ${wl}allextract$convenience ${wl}-z ${wl}defaultextract' + else + whole_archive_flag_spec='-z allextract$convenience -z defaultextract' + fi + ;; + esac + link_all_deplibs=yes + ;; + + sunos4*) + if test "x$host_vendor" = xsequent; then + # Use $CC to link under sequent, because it throws in some extra .o + # files that make .init and .fini sections work. + archive_cmds='$CC -G ${wl}-h $soname -o $lib $libobjs $deplibs $compiler_flags' + else + archive_cmds='$LD -assert pure-text -Bstatic -o $lib $libobjs $deplibs $linker_flags' + fi + hardcode_libdir_flag_spec='-L$libdir' + hardcode_direct=yes + hardcode_minus_L=yes + hardcode_shlibpath_var=no + ;; + + sysv4) + case $host_vendor in + sni) + archive_cmds='$LD -G -h $soname -o $lib $libobjs $deplibs $linker_flags' + hardcode_direct=yes # is this really true??? + ;; + siemens) + ## LD is ld it makes a PLAMLIB + ## CC just makes a GrossModule. + archive_cmds='$LD -G -o $lib $libobjs $deplibs $linker_flags' + reload_cmds='$CC -r -o $output$reload_objs' + hardcode_direct=no + ;; + motorola) + archive_cmds='$LD -G -h $soname -o $lib $libobjs $deplibs $linker_flags' + hardcode_direct=no #Motorola manual says yes, but my tests say they lie + ;; + esac + runpath_var='LD_RUN_PATH' + hardcode_shlibpath_var=no + ;; + + sysv4.3*) + archive_cmds='$LD -G -h $soname -o $lib $libobjs $deplibs $linker_flags' + hardcode_shlibpath_var=no + export_dynamic_flag_spec='-Bexport' + ;; + + sysv4*MP*) + if test -d /usr/nec; then + archive_cmds='$LD -G -h $soname -o $lib $libobjs $deplibs $linker_flags' + hardcode_shlibpath_var=no + runpath_var=LD_RUN_PATH + hardcode_runpath_var=yes + ld_shlibs=yes + fi + ;; + + sysv4*uw2* | sysv5OpenUNIX* | sysv5UnixWare7.[01].[10]* | unixware7* | sco3.2v5.0.[024]*) + no_undefined_flag='${wl}-z,text' + archive_cmds_need_lc=no + hardcode_shlibpath_var=no + runpath_var='LD_RUN_PATH' + + if test "$GCC" = yes; then + archive_cmds='$CC -shared ${wl}-h,$soname -o $lib $libobjs $deplibs $compiler_flags' + archive_expsym_cmds='$CC -shared ${wl}-Bexport:$export_symbols ${wl}-h,$soname -o $lib $libobjs $deplibs $compiler_flags' + else + archive_cmds='$CC -G ${wl}-h,$soname -o $lib $libobjs $deplibs $compiler_flags' + archive_expsym_cmds='$CC -G ${wl}-Bexport:$export_symbols ${wl}-h,$soname -o $lib $libobjs $deplibs $compiler_flags' + fi + ;; + + sysv5* | sco3.2v5* | sco5v6*) + # Note: We can NOT use -z defs as we might desire, because we do not + # link with -lc, and that would cause any symbols used from libc to + # always be unresolved, which means just about no library would + # ever link correctly. If we're not using GNU ld we use -z text + # though, which does catch some bad symbols but isn't as heavy-handed + # as -z defs. + no_undefined_flag='${wl}-z,text' + allow_undefined_flag='${wl}-z,nodefs' + archive_cmds_need_lc=no + hardcode_shlibpath_var=no + hardcode_libdir_flag_spec='${wl}-R,$libdir' + hardcode_libdir_separator=':' + link_all_deplibs=yes + export_dynamic_flag_spec='${wl}-Bexport' + runpath_var='LD_RUN_PATH' + + if test "$GCC" = yes; then + archive_cmds='$CC -shared ${wl}-h,$soname -o $lib $libobjs $deplibs $compiler_flags' + archive_expsym_cmds='$CC -shared ${wl}-Bexport:$export_symbols ${wl}-h,$soname -o $lib $libobjs $deplibs $compiler_flags' + else + archive_cmds='$CC -G ${wl}-h,$soname -o $lib $libobjs $deplibs $compiler_flags' + archive_expsym_cmds='$CC -G ${wl}-Bexport:$export_symbols ${wl}-h,$soname -o $lib $libobjs $deplibs $compiler_flags' + fi + ;; + + uts4*) + archive_cmds='$LD -G -h $soname -o $lib $libobjs $deplibs $linker_flags' + hardcode_libdir_flag_spec='-L$libdir' + hardcode_shlibpath_var=no + ;; + + *) + ld_shlibs=no + ;; + esac + + if test x$host_vendor = xsni; then + case $host in + sysv4 | sysv4.2uw2* | sysv4.3* | sysv5*) + export_dynamic_flag_spec='${wl}-Blargedynsym' + ;; + esac + fi + fi + +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $ld_shlibs" >&5 +$as_echo "$ld_shlibs" >&6; } +test "$ld_shlibs" = no && can_build_shared=no + +with_gnu_ld=$with_gnu_ld + + + + + + + + + + + + + + + +# +# Do we need to explicitly link libc? +# +case "x$archive_cmds_need_lc" in +x|xyes) + # Assume -lc should be added + archive_cmds_need_lc=yes + + if test "$enable_shared" = yes && test "$GCC" = yes; then + case $archive_cmds in + *'~'*) + # FIXME: we may have to deal with multi-command sequences. + ;; + '$CC '*) + # Test whether the compiler implicitly links with -lc since on some + # systems, -lgcc has to come before -lc. If gcc already passes -lc + # to ld, don't add -lc before -lgcc. + { $as_echo "$as_me:${as_lineno-$LINENO}: checking whether -lc should be explicitly linked in" >&5 +$as_echo_n "checking whether -lc should be explicitly linked in... " >&6; } +if test "${lt_cv_archive_cmds_need_lc+set}" = set; then : + $as_echo_n "(cached) " >&6 +else + $RM conftest* + echo "$lt_simple_compile_test_code" > conftest.$ac_ext + + if { { eval echo "\"\$as_me\":${as_lineno-$LINENO}: \"$ac_compile\""; } >&5 + (eval $ac_compile) 2>&5 + ac_status=$? + $as_echo "$as_me:${as_lineno-$LINENO}: \$? = $ac_status" >&5 + test $ac_status = 0; } 2>conftest.err; then + soname=conftest + lib=conftest + libobjs=conftest.$ac_objext + deplibs= + wl=$lt_prog_compiler_wl + pic_flag=$lt_prog_compiler_pic + compiler_flags=-v + linker_flags=-v + verstring= + output_objdir=. + libname=conftest + lt_save_allow_undefined_flag=$allow_undefined_flag + allow_undefined_flag= + if { { eval echo "\"\$as_me\":${as_lineno-$LINENO}: \"$archive_cmds 2\>\&1 \| $GREP \" -lc \" \>/dev/null 2\>\&1\""; } >&5 + (eval $archive_cmds 2\>\&1 \| $GREP \" -lc \" \>/dev/null 2\>\&1) 2>&5 + ac_status=$? + $as_echo "$as_me:${as_lineno-$LINENO}: \$? = $ac_status" >&5 + test $ac_status = 0; } + then + lt_cv_archive_cmds_need_lc=no + else + lt_cv_archive_cmds_need_lc=yes + fi + allow_undefined_flag=$lt_save_allow_undefined_flag + else + cat conftest.err 1>&5 + fi + $RM conftest* + +fi +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $lt_cv_archive_cmds_need_lc" >&5 +$as_echo "$lt_cv_archive_cmds_need_lc" >&6; } + archive_cmds_need_lc=$lt_cv_archive_cmds_need_lc + ;; + esac + fi + ;; +esac + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + { $as_echo "$as_me:${as_lineno-$LINENO}: checking dynamic linker characteristics" >&5 +$as_echo_n "checking dynamic linker characteristics... " >&6; } + +if test "$GCC" = yes; then + case $host_os in + darwin*) lt_awk_arg="/^libraries:/,/LR/" ;; + *) lt_awk_arg="/^libraries:/" ;; + esac + case $host_os in + mingw* | cegcc*) lt_sed_strip_eq="s,=\([A-Za-z]:\),\1,g" ;; + *) lt_sed_strip_eq="s,=/,/,g" ;; + esac + lt_search_path_spec=`$CC -print-search-dirs | awk $lt_awk_arg | $SED -e "s/^libraries://" -e $lt_sed_strip_eq` + case $lt_search_path_spec in + *\;*) + # if the path contains ";" then we assume it to be the separator + # otherwise default to the standard path separator (i.e. ":") - it is + # assumed that no part of a normal pathname contains ";" but that should + # okay in the real world where ";" in dirpaths is itself problematic. + lt_search_path_spec=`$ECHO "$lt_search_path_spec" | $SED 's/;/ /g'` + ;; + *) + lt_search_path_spec=`$ECHO "$lt_search_path_spec" | $SED "s/$PATH_SEPARATOR/ /g"` + ;; + esac + # Ok, now we have the path, separated by spaces, we can step through it + # and add multilib dir if necessary. + lt_tmp_lt_search_path_spec= + lt_multi_os_dir=`$CC $CPPFLAGS $CFLAGS $LDFLAGS -print-multi-os-directory 2>/dev/null` + for lt_sys_path in $lt_search_path_spec; do + if test -d "$lt_sys_path/$lt_multi_os_dir"; then + lt_tmp_lt_search_path_spec="$lt_tmp_lt_search_path_spec $lt_sys_path/$lt_multi_os_dir" + else + test -d "$lt_sys_path" && \ + lt_tmp_lt_search_path_spec="$lt_tmp_lt_search_path_spec $lt_sys_path" + fi + done + lt_search_path_spec=`$ECHO "$lt_tmp_lt_search_path_spec" | awk ' +BEGIN {RS=" "; FS="/|\n";} { + lt_foo=""; + lt_count=0; + for (lt_i = NF; lt_i > 0; lt_i--) { + if ($lt_i != "" && $lt_i != ".") { + if ($lt_i == "..") { + lt_count++; + } else { + if (lt_count == 0) { + lt_foo="/" $lt_i lt_foo; + } else { + lt_count--; + } + } + } + } + if (lt_foo != "") { lt_freq[lt_foo]++; } + if (lt_freq[lt_foo] == 1) { print lt_foo; } +}'` + # AWK program above erroneously prepends '/' to C:/dos/paths + # for these hosts. + case $host_os in + mingw* | cegcc*) lt_search_path_spec=`$ECHO "$lt_search_path_spec" |\ + $SED 's,/\([A-Za-z]:\),\1,g'` ;; + esac + sys_lib_search_path_spec=`$ECHO "$lt_search_path_spec" | $lt_NL2SP` +else + sys_lib_search_path_spec="/lib /usr/lib /usr/local/lib" +fi +library_names_spec= +libname_spec='lib$name' +soname_spec= +shrext_cmds=".so" +postinstall_cmds= +postuninstall_cmds= +finish_cmds= +finish_eval= +shlibpath_var= +shlibpath_overrides_runpath=unknown +version_type=none +dynamic_linker="$host_os ld.so" +sys_lib_dlsearch_path_spec="/lib /usr/lib" +need_lib_prefix=unknown +hardcode_into_libs=no + +# when you set need_version to no, make sure it does not cause -set_version +# flags to be left without arguments +need_version=unknown + +case $host_os in +aix3*) + version_type=linux + library_names_spec='${libname}${release}${shared_ext}$versuffix $libname.a' + shlibpath_var=LIBPATH + + # AIX 3 has no versioning support, so we append a major version to the name. + soname_spec='${libname}${release}${shared_ext}$major' + ;; + +aix[4-9]*) + version_type=linux + need_lib_prefix=no + need_version=no + hardcode_into_libs=yes + if test "$host_cpu" = ia64; then + # AIX 5 supports IA64 + library_names_spec='${libname}${release}${shared_ext}$major ${libname}${release}${shared_ext}$versuffix $libname${shared_ext}' + shlibpath_var=LD_LIBRARY_PATH + else + # With GCC up to 2.95.x, collect2 would create an import file + # for dependence libraries. The import file would start with + # the line `#! .'. This would cause the generated library to + # depend on `.', always an invalid library. This was fixed in + # development snapshots of GCC prior to 3.0. + case $host_os in + aix4 | aix4.[01] | aix4.[01].*) + if { echo '#if __GNUC__ > 2 || (__GNUC__ == 2 && __GNUC_MINOR__ >= 97)' + echo ' yes ' + echo '#endif'; } | ${CC} -E - | $GREP yes > /dev/null; then + : + else + can_build_shared=no + fi + ;; + esac + # AIX (on Power*) has no versioning support, so currently we can not hardcode correct + # soname into executable. Probably we can add versioning support to + # collect2, so additional links can be useful in future. + if test "$aix_use_runtimelinking" = yes; then + # If using run time linking (on AIX 4.2 or later) use lib<name>.so + # instead of lib<name>.a to let people know that these are not + # typical AIX shared libraries. + library_names_spec='${libname}${release}${shared_ext}$versuffix ${libname}${release}${shared_ext}$major $libname${shared_ext}' + else + # We preserve .a as extension for shared libraries through AIX4.2 + # and later when we are not doing run time linking. + library_names_spec='${libname}${release}.a $libname.a' + soname_spec='${libname}${release}${shared_ext}$major' + fi + shlibpath_var=LIBPATH + fi + ;; + +amigaos*) + case $host_cpu in + powerpc) + # Since July 2007 AmigaOS4 officially supports .so libraries. + # When compiling the executable, add -use-dynld -Lsobjs: to the compileline. + library_names_spec='${libname}${release}${shared_ext}$versuffix ${libname}${release}${shared_ext}$major $libname${shared_ext}' + ;; + m68k) + library_names_spec='$libname.ixlibrary $libname.a' + # Create ${libname}_ixlibrary.a entries in /sys/libs. + finish_eval='for lib in `ls $libdir/*.ixlibrary 2>/dev/null`; do libname=`func_echo_all "$lib" | $SED '\''s%^.*/\([^/]*\)\.ixlibrary$%\1%'\''`; test $RM /sys/libs/${libname}_ixlibrary.a; $show "cd /sys/libs && $LN_S $lib ${libname}_ixlibrary.a"; cd /sys/libs && $LN_S $lib ${libname}_ixlibrary.a || exit 1; done' + ;; + esac + ;; + +beos*) + library_names_spec='${libname}${shared_ext}' + dynamic_linker="$host_os ld.so" + shlibpath_var=LIBRARY_PATH + ;; + +bsdi[45]*) + version_type=linux + need_version=no + library_names_spec='${libname}${release}${shared_ext}$versuffix ${libname}${release}${shared_ext}$major $libname${shared_ext}' + soname_spec='${libname}${release}${shared_ext}$major' + finish_cmds='PATH="\$PATH:/sbin" ldconfig $libdir' + shlibpath_var=LD_LIBRARY_PATH + sys_lib_search_path_spec="/shlib /usr/lib /usr/X11/lib /usr/contrib/lib /lib /usr/local/lib" + sys_lib_dlsearch_path_spec="/shlib /usr/lib /usr/local/lib" + # the default ld.so.conf also contains /usr/contrib/lib and + # /usr/X11R6/lib (/usr/X11 is a link to /usr/X11R6), but let us allow + # libtool to hard-code these into programs + ;; + +cygwin* | mingw* | pw32* | cegcc*) + version_type=windows + shrext_cmds=".dll" + need_version=no + need_lib_prefix=no + + case $GCC,$host_os in + yes,cygwin* | yes,mingw* | yes,pw32* | yes,cegcc*) + library_names_spec='$libname.dll.a' + # DLL is installed to $(libdir)/../bin by postinstall_cmds + postinstall_cmds='base_file=`basename \${file}`~ + dlpath=`$SHELL 2>&1 -c '\''. $dir/'\''\${base_file}'\''i; echo \$dlname'\''`~ + dldir=$destdir/`dirname \$dlpath`~ + test -d \$dldir || mkdir -p \$dldir~ + $install_prog $dir/$dlname \$dldir/$dlname~ + chmod a+x \$dldir/$dlname~ + if test -n '\''$stripme'\'' && test -n '\''$striplib'\''; then + eval '\''$striplib \$dldir/$dlname'\'' || exit \$?; + fi' + postuninstall_cmds='dldll=`$SHELL 2>&1 -c '\''. $file; echo \$dlname'\''`~ + dlpath=$dir/\$dldll~ + $RM \$dlpath' + shlibpath_overrides_runpath=yes + + case $host_os in + cygwin*) + # Cygwin DLLs use 'cyg' prefix rather than 'lib' + soname_spec='`echo ${libname} | sed -e 's/^lib/cyg/'``echo ${release} | $SED -e 's/[.]/-/g'`${versuffix}${shared_ext}' + + sys_lib_search_path_spec="$sys_lib_search_path_spec /usr/lib/w32api" + ;; + mingw* | cegcc*) + # MinGW DLLs use traditional 'lib' prefix + soname_spec='${libname}`echo ${release} | $SED -e 's/[.]/-/g'`${versuffix}${shared_ext}' + ;; + pw32*) + # pw32 DLLs use 'pw' prefix rather than 'lib' + library_names_spec='`echo ${libname} | sed -e 's/^lib/pw/'``echo ${release} | $SED -e 's/[.]/-/g'`${versuffix}${shared_ext}' + ;; + esac + ;; + + *) + library_names_spec='${libname}`echo ${release} | $SED -e 's/[.]/-/g'`${versuffix}${shared_ext} $libname.lib' + ;; + esac + dynamic_linker='Win32 ld.exe' + # FIXME: first we should search . and the directory the executable is in + shlibpath_var=PATH + ;; + +darwin* | rhapsody*) + dynamic_linker="$host_os dyld" + version_type=darwin + need_lib_prefix=no + need_version=no + library_names_spec='${libname}${release}${major}$shared_ext ${libname}$shared_ext' + soname_spec='${libname}${release}${major}$shared_ext' + shlibpath_overrides_runpath=yes + shlibpath_var=DYLD_LIBRARY_PATH + shrext_cmds='`test .$module = .yes && echo .so || echo .dylib`' + + sys_lib_search_path_spec="$sys_lib_search_path_spec /usr/local/lib" + sys_lib_dlsearch_path_spec='/usr/local/lib /lib /usr/lib' + ;; + +dgux*) + version_type=linux + need_lib_prefix=no + need_version=no + library_names_spec='${libname}${release}${shared_ext}$versuffix ${libname}${release}${shared_ext}$major $libname$shared_ext' + soname_spec='${libname}${release}${shared_ext}$major' + shlibpath_var=LD_LIBRARY_PATH + ;; + +freebsd* | dragonfly*) + # DragonFly does not have aout. When/if they implement a new + # versioning mechanism, adjust this. + if test -x /usr/bin/objformat; then + objformat=`/usr/bin/objformat` + else + case $host_os in + freebsd[23].*) objformat=aout ;; + *) objformat=elf ;; + esac + fi + version_type=freebsd-$objformat + case $version_type in + freebsd-elf*) + library_names_spec='${libname}${release}${shared_ext}$versuffix ${libname}${release}${shared_ext} $libname${shared_ext}' + need_version=no + need_lib_prefix=no + ;; + freebsd-*) + library_names_spec='${libname}${release}${shared_ext}$versuffix $libname${shared_ext}$versuffix' + need_version=yes + ;; + esac + shlibpath_var=LD_LIBRARY_PATH + case $host_os in + freebsd2.*) + shlibpath_overrides_runpath=yes + ;; + freebsd3.[01]* | freebsdelf3.[01]*) + shlibpath_overrides_runpath=yes + hardcode_into_libs=yes + ;; + freebsd3.[2-9]* | freebsdelf3.[2-9]* | \ + freebsd4.[0-5] | freebsdelf4.[0-5] | freebsd4.1.1 | freebsdelf4.1.1) + shlibpath_overrides_runpath=no + hardcode_into_libs=yes + ;; + *) # from 4.6 on, and DragonFly + shlibpath_overrides_runpath=yes + hardcode_into_libs=yes + ;; + esac + ;; + +gnu*) + version_type=linux + need_lib_prefix=no + need_version=no + library_names_spec='${libname}${release}${shared_ext}$versuffix ${libname}${release}${shared_ext}${major} ${libname}${shared_ext}' + soname_spec='${libname}${release}${shared_ext}$major' + shlibpath_var=LD_LIBRARY_PATH + hardcode_into_libs=yes + ;; + +haiku*) + version_type=linux + need_lib_prefix=no + need_version=no + dynamic_linker="$host_os runtime_loader" + library_names_spec='${libname}${release}${shared_ext}$versuffix ${libname}${release}${shared_ext}${major} ${libname}${shared_ext}' + soname_spec='${libname}${release}${shared_ext}$major' + shlibpath_var=LIBRARY_PATH + shlibpath_overrides_runpath=yes + sys_lib_dlsearch_path_spec='/boot/home/config/lib /boot/common/lib /boot/beos/system/lib' + hardcode_into_libs=yes + ;; + +hpux9* | hpux10* | hpux11*) + # Give a soname corresponding to the major version so that dld.sl refuses to + # link against other versions. + version_type=sunos + need_lib_prefix=no + need_version=no + case $host_cpu in + ia64*) + shrext_cmds='.so' + hardcode_into_libs=yes + dynamic_linker="$host_os dld.so" + shlibpath_var=LD_LIBRARY_PATH + shlibpath_overrides_runpath=yes # Unless +noenvvar is specified. + library_names_spec='${libname}${release}${shared_ext}$versuffix ${libname}${release}${shared_ext}$major $libname${shared_ext}' + soname_spec='${libname}${release}${shared_ext}$major' + if test "X$HPUX_IA64_MODE" = X32; then + sys_lib_search_path_spec="/usr/lib/hpux32 /usr/local/lib/hpux32 /usr/local/lib" + else + sys_lib_search_path_spec="/usr/lib/hpux64 /usr/local/lib/hpux64" + fi + sys_lib_dlsearch_path_spec=$sys_lib_search_path_spec + ;; + hppa*64*) + shrext_cmds='.sl' + hardcode_into_libs=yes + dynamic_linker="$host_os dld.sl" + shlibpath_var=LD_LIBRARY_PATH # How should we handle SHLIB_PATH + shlibpath_overrides_runpath=yes # Unless +noenvvar is specified. + library_names_spec='${libname}${release}${shared_ext}$versuffix ${libname}${release}${shared_ext}$major $libname${shared_ext}' + soname_spec='${libname}${release}${shared_ext}$major' + sys_lib_search_path_spec="/usr/lib/pa20_64 /usr/ccs/lib/pa20_64" + sys_lib_dlsearch_path_spec=$sys_lib_search_path_spec + ;; + *) + shrext_cmds='.sl' + dynamic_linker="$host_os dld.sl" + shlibpath_var=SHLIB_PATH + shlibpath_overrides_runpath=no # +s is required to enable SHLIB_PATH + library_names_spec='${libname}${release}${shared_ext}$versuffix ${libname}${release}${shared_ext}$major $libname${shared_ext}' + soname_spec='${libname}${release}${shared_ext}$major' + ;; + esac + # HP-UX runs *really* slowly unless shared libraries are mode 555, ... + postinstall_cmds='chmod 555 $lib' + # or fails outright, so override atomically: + install_override_mode=555 + ;; + +interix[3-9]*) + version_type=linux + need_lib_prefix=no + need_version=no + library_names_spec='${libname}${release}${shared_ext}$versuffix ${libname}${release}${shared_ext}$major ${libname}${shared_ext}' + soname_spec='${libname}${release}${shared_ext}$major' + dynamic_linker='Interix 3.x ld.so.1 (PE, like ELF)' + shlibpath_var=LD_LIBRARY_PATH + shlibpath_overrides_runpath=no + hardcode_into_libs=yes + ;; + +irix5* | irix6* | nonstopux*) + case $host_os in + nonstopux*) version_type=nonstopux ;; + *) + if test "$lt_cv_prog_gnu_ld" = yes; then + version_type=linux + else + version_type=irix + fi ;; + esac + need_lib_prefix=no + need_version=no + soname_spec='${libname}${release}${shared_ext}$major' + library_names_spec='${libname}${release}${shared_ext}$versuffix ${libname}${release}${shared_ext}$major ${libname}${release}${shared_ext} $libname${shared_ext}' + case $host_os in + irix5* | nonstopux*) + libsuff= shlibsuff= + ;; + *) + case $LD in # libtool.m4 will add one of these switches to LD + *-32|*"-32 "|*-melf32bsmip|*"-melf32bsmip ") + libsuff= shlibsuff= libmagic=32-bit;; + *-n32|*"-n32 "|*-melf32bmipn32|*"-melf32bmipn32 ") + libsuff=32 shlibsuff=N32 libmagic=N32;; + *-64|*"-64 "|*-melf64bmip|*"-melf64bmip ") + libsuff=64 shlibsuff=64 libmagic=64-bit;; + *) libsuff= shlibsuff= libmagic=never-match;; + esac + ;; + esac + shlibpath_var=LD_LIBRARY${shlibsuff}_PATH + shlibpath_overrides_runpath=no + sys_lib_search_path_spec="/usr/lib${libsuff} /lib${libsuff} /usr/local/lib${libsuff}" + sys_lib_dlsearch_path_spec="/usr/lib${libsuff} /lib${libsuff}" + hardcode_into_libs=yes + ;; + +# No shared lib support for Linux oldld, aout, or coff. +linux*oldld* | linux*aout* | linux*coff*) + dynamic_linker=no + ;; + +# This must be Linux ELF. +linux* | k*bsd*-gnu | kopensolaris*-gnu) + version_type=linux + need_lib_prefix=no + need_version=no + library_names_spec='${libname}${release}${shared_ext}$versuffix ${libname}${release}${shared_ext}$major $libname${shared_ext}' + soname_spec='${libname}${release}${shared_ext}$major' + finish_cmds='PATH="\$PATH:/sbin" ldconfig -n $libdir' + shlibpath_var=LD_LIBRARY_PATH + shlibpath_overrides_runpath=no + + # Some binutils ld are patched to set DT_RUNPATH + if test "${lt_cv_shlibpath_overrides_runpath+set}" = set; then : + $as_echo_n "(cached) " >&6 +else + lt_cv_shlibpath_overrides_runpath=no + save_LDFLAGS=$LDFLAGS + save_libdir=$libdir + eval "libdir=/foo; wl=\"$lt_prog_compiler_wl\"; \ + LDFLAGS=\"\$LDFLAGS $hardcode_libdir_flag_spec\"" + if test x$gcc_no_link = xyes; then + as_fn_error "Link tests are not allowed after GCC_NO_EXECUTABLES." "$LINENO" 5 +fi +cat confdefs.h - <<_ACEOF >conftest.$ac_ext +/* end confdefs.h. */ + +int +main () +{ + + ; + return 0; +} +_ACEOF +if ac_fn_c_try_link "$LINENO"; then : + if ($OBJDUMP -p conftest$ac_exeext) 2>/dev/null | grep "RUNPATH.*$libdir" >/dev/null; then : + lt_cv_shlibpath_overrides_runpath=yes +fi +fi +rm -f core conftest.err conftest.$ac_objext \ + conftest$ac_exeext conftest.$ac_ext + LDFLAGS=$save_LDFLAGS + libdir=$save_libdir + +fi + + shlibpath_overrides_runpath=$lt_cv_shlibpath_overrides_runpath + + # This implies no fast_install, which is unacceptable. + # Some rework will be needed to allow for fast_install + # before this can be enabled. + hardcode_into_libs=yes + + # Append ld.so.conf contents to the search path + if test -f /etc/ld.so.conf; then + lt_ld_extra=`awk '/^include / { system(sprintf("cd /etc; cat %s 2>/dev/null", \$2)); skip = 1; } { if (!skip) print \$0; skip = 0; }' < /etc/ld.so.conf | $SED -e 's/#.*//;/^[ ]*hwcap[ ]/d;s/[:, ]/ /g;s/=[^=]*$//;s/=[^= ]* / /g;s/"//g;/^$/d' | tr '\n' ' '` + sys_lib_dlsearch_path_spec="/lib /usr/lib $lt_ld_extra" + fi + + # We used to test for /lib/ld.so.1 and disable shared libraries on + # powerpc, because MkLinux only supported shared libraries with the + # GNU dynamic linker. Since this was broken with cross compilers, + # most powerpc-linux boxes support dynamic linking these days and + # people can always --disable-shared, the test was removed, and we + # assume the GNU/Linux dynamic linker is in use. + dynamic_linker='GNU/Linux ld.so' + ;; + +netbsd*) + version_type=sunos + need_lib_prefix=no + need_version=no + if echo __ELF__ | $CC -E - | $GREP __ELF__ >/dev/null; then + library_names_spec='${libname}${release}${shared_ext}$versuffix ${libname}${shared_ext}$versuffix' + finish_cmds='PATH="\$PATH:/sbin" ldconfig -m $libdir' + dynamic_linker='NetBSD (a.out) ld.so' + else + library_names_spec='${libname}${release}${shared_ext}$versuffix ${libname}${release}${shared_ext}$major ${libname}${shared_ext}' + soname_spec='${libname}${release}${shared_ext}$major' + dynamic_linker='NetBSD ld.elf_so' + fi + shlibpath_var=LD_LIBRARY_PATH + shlibpath_overrides_runpath=yes + hardcode_into_libs=yes + ;; + +newsos6) + version_type=linux + library_names_spec='${libname}${release}${shared_ext}$versuffix ${libname}${release}${shared_ext}$major $libname${shared_ext}' + shlibpath_var=LD_LIBRARY_PATH + shlibpath_overrides_runpath=yes + ;; + +*nto* | *qnx*) + version_type=qnx + need_lib_prefix=no + need_version=no + library_names_spec='${libname}${release}${shared_ext}$versuffix ${libname}${release}${shared_ext}$major $libname${shared_ext}' + soname_spec='${libname}${release}${shared_ext}$major' + shlibpath_var=LD_LIBRARY_PATH + shlibpath_overrides_runpath=no + hardcode_into_libs=yes + dynamic_linker='ldqnx.so' + ;; + +openbsd*) + version_type=sunos + sys_lib_dlsearch_path_spec="/usr/lib" + need_lib_prefix=no + # Some older versions of OpenBSD (3.3 at least) *do* need versioned libs. + case $host_os in + openbsd3.3 | openbsd3.3.*) need_version=yes ;; + *) need_version=no ;; + esac + library_names_spec='${libname}${release}${shared_ext}$versuffix ${libname}${shared_ext}$versuffix' + finish_cmds='PATH="\$PATH:/sbin" ldconfig -m $libdir' + shlibpath_var=LD_LIBRARY_PATH + if test -z "`echo __ELF__ | $CC -E - | $GREP __ELF__`" || test "$host_os-$host_cpu" = "openbsd2.8-powerpc"; then + case $host_os in + openbsd2.[89] | openbsd2.[89].*) + shlibpath_overrides_runpath=no + ;; + *) + shlibpath_overrides_runpath=yes + ;; + esac + else + shlibpath_overrides_runpath=yes + fi + ;; + +os2*) + libname_spec='$name' + shrext_cmds=".dll" + need_lib_prefix=no + library_names_spec='$libname${shared_ext} $libname.a' + dynamic_linker='OS/2 ld.exe' + shlibpath_var=LIBPATH + ;; + +osf3* | osf4* | osf5*) + version_type=osf + need_lib_prefix=no + need_version=no + soname_spec='${libname}${release}${shared_ext}$major' + library_names_spec='${libname}${release}${shared_ext}$versuffix ${libname}${release}${shared_ext}$major $libname${shared_ext}' + shlibpath_var=LD_LIBRARY_PATH + sys_lib_search_path_spec="/usr/shlib /usr/ccs/lib /usr/lib/cmplrs/cc /usr/lib /usr/local/lib /var/shlib" + sys_lib_dlsearch_path_spec="$sys_lib_search_path_spec" + ;; + +rdos*) + dynamic_linker=no + ;; + +solaris*) + version_type=linux + need_lib_prefix=no + need_version=no + library_names_spec='${libname}${release}${shared_ext}$versuffix ${libname}${release}${shared_ext}$major $libname${shared_ext}' + soname_spec='${libname}${release}${shared_ext}$major' + shlibpath_var=LD_LIBRARY_PATH + shlibpath_overrides_runpath=yes + hardcode_into_libs=yes + # ldd complains unless libraries are executable + postinstall_cmds='chmod +x $lib' + ;; + +sunos4*) + version_type=sunos + library_names_spec='${libname}${release}${shared_ext}$versuffix ${libname}${shared_ext}$versuffix' + finish_cmds='PATH="\$PATH:/usr/etc" ldconfig $libdir' + shlibpath_var=LD_LIBRARY_PATH + shlibpath_overrides_runpath=yes + if test "$with_gnu_ld" = yes; then + need_lib_prefix=no + fi + need_version=yes + ;; + +sysv4 | sysv4.3*) + version_type=linux + library_names_spec='${libname}${release}${shared_ext}$versuffix ${libname}${release}${shared_ext}$major $libname${shared_ext}' + soname_spec='${libname}${release}${shared_ext}$major' + shlibpath_var=LD_LIBRARY_PATH + case $host_vendor in + sni) + shlibpath_overrides_runpath=no + need_lib_prefix=no + runpath_var=LD_RUN_PATH + ;; + siemens) + need_lib_prefix=no + ;; + motorola) + need_lib_prefix=no + need_version=no + shlibpath_overrides_runpath=no + sys_lib_search_path_spec='/lib /usr/lib /usr/ccs/lib' + ;; + esac + ;; + +sysv4*MP*) + if test -d /usr/nec ;then + version_type=linux + library_names_spec='$libname${shared_ext}.$versuffix $libname${shared_ext}.$major $libname${shared_ext}' + soname_spec='$libname${shared_ext}.$major' + shlibpath_var=LD_LIBRARY_PATH + fi + ;; + +sysv5* | sco3.2v5* | sco5v6* | unixware* | OpenUNIX* | sysv4*uw2*) + version_type=freebsd-elf + need_lib_prefix=no + need_version=no + library_names_spec='${libname}${release}${shared_ext}$versuffix ${libname}${release}${shared_ext} $libname${shared_ext}' + soname_spec='${libname}${release}${shared_ext}$major' + shlibpath_var=LD_LIBRARY_PATH + shlibpath_overrides_runpath=yes + hardcode_into_libs=yes + if test "$with_gnu_ld" = yes; then + sys_lib_search_path_spec='/usr/local/lib /usr/gnu/lib /usr/ccs/lib /usr/lib /lib' + else + sys_lib_search_path_spec='/usr/ccs/lib /usr/lib' + case $host_os in + sco3.2v5*) + sys_lib_search_path_spec="$sys_lib_search_path_spec /lib" + ;; + esac + fi + sys_lib_dlsearch_path_spec='/usr/lib' + ;; + +tpf*) + # TPF is a cross-target only. Preferred cross-host = GNU/Linux. + version_type=linux + need_lib_prefix=no + need_version=no + library_names_spec='${libname}${release}${shared_ext}$versuffix ${libname}${release}${shared_ext}$major $libname${shared_ext}' + shlibpath_var=LD_LIBRARY_PATH + shlibpath_overrides_runpath=no + hardcode_into_libs=yes + ;; + +uts4*) + version_type=linux + library_names_spec='${libname}${release}${shared_ext}$versuffix ${libname}${release}${shared_ext}$major $libname${shared_ext}' + soname_spec='${libname}${release}${shared_ext}$major' + shlibpath_var=LD_LIBRARY_PATH + ;; + +*) + dynamic_linker=no + ;; +esac +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $dynamic_linker" >&5 +$as_echo "$dynamic_linker" >&6; } +test "$dynamic_linker" = no && can_build_shared=no + +variables_saved_for_relink="PATH $shlibpath_var $runpath_var" +if test "$GCC" = yes; then + variables_saved_for_relink="$variables_saved_for_relink GCC_EXEC_PREFIX COMPILER_PATH LIBRARY_PATH" +fi + +if test "${lt_cv_sys_lib_search_path_spec+set}" = set; then + sys_lib_search_path_spec="$lt_cv_sys_lib_search_path_spec" +fi +if test "${lt_cv_sys_lib_dlsearch_path_spec+set}" = set; then + sys_lib_dlsearch_path_spec="$lt_cv_sys_lib_dlsearch_path_spec" +fi + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + { $as_echo "$as_me:${as_lineno-$LINENO}: checking how to hardcode library paths into programs" >&5 +$as_echo_n "checking how to hardcode library paths into programs... " >&6; } +hardcode_action= +if test -n "$hardcode_libdir_flag_spec" || + test -n "$runpath_var" || + test "X$hardcode_automatic" = "Xyes" ; then + + # We can hardcode non-existent directories. + if test "$hardcode_direct" != no && + # If the only mechanism to avoid hardcoding is shlibpath_var, we + # have to relink, otherwise we might link with an installed library + # when we should be linking with a yet-to-be-installed one + ## test "$_LT_TAGVAR(hardcode_shlibpath_var, )" != no && + test "$hardcode_minus_L" != no; then + # Linking always hardcodes the temporary library directory. + hardcode_action=relink + else + # We can link without hardcoding, and we can hardcode nonexisting dirs. + hardcode_action=immediate + fi +else + # We cannot hardcode anything, or else we can only hardcode existing + # directories. + hardcode_action=unsupported +fi +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $hardcode_action" >&5 +$as_echo "$hardcode_action" >&6; } + +if test "$hardcode_action" = relink || + test "$inherit_rpath" = yes; then + # Fast installation is not supported + enable_fast_install=no +elif test "$shlibpath_overrides_runpath" = yes || + test "$enable_shared" = no; then + # Fast installation is not necessary + enable_fast_install=needless +fi + + + + + + + if test "x$enable_dlopen" != xyes; then + enable_dlopen=unknown + enable_dlopen_self=unknown + enable_dlopen_self_static=unknown +else + lt_cv_dlopen=no + lt_cv_dlopen_libs= + + case $host_os in + beos*) + lt_cv_dlopen="load_add_on" + lt_cv_dlopen_libs= + lt_cv_dlopen_self=yes + ;; + + mingw* | pw32* | cegcc*) + lt_cv_dlopen="LoadLibrary" + lt_cv_dlopen_libs= + ;; + + cygwin*) + lt_cv_dlopen="dlopen" + lt_cv_dlopen_libs= + ;; + + darwin*) + # if libdl is installed we need to link against it + { $as_echo "$as_me:${as_lineno-$LINENO}: checking for dlopen in -ldl" >&5 +$as_echo_n "checking for dlopen in -ldl... " >&6; } +if test "${ac_cv_lib_dl_dlopen+set}" = set; then : + $as_echo_n "(cached) " >&6 +else + ac_check_lib_save_LIBS=$LIBS +LIBS="-ldl $LIBS" +if test x$gcc_no_link = xyes; then + as_fn_error "Link tests are not allowed after GCC_NO_EXECUTABLES." "$LINENO" 5 +fi +cat confdefs.h - <<_ACEOF >conftest.$ac_ext +/* end confdefs.h. */ + +/* Override any GCC internal prototype to avoid an error. + Use char because int might match the return type of a GCC + builtin and then its argument prototype would still apply. */ +#ifdef __cplusplus +extern "C" +#endif +char dlopen (); +int +main () +{ +return dlopen (); + ; + return 0; +} +_ACEOF +if ac_fn_c_try_link "$LINENO"; then : + ac_cv_lib_dl_dlopen=yes +else + ac_cv_lib_dl_dlopen=no +fi +rm -f core conftest.err conftest.$ac_objext \ + conftest$ac_exeext conftest.$ac_ext +LIBS=$ac_check_lib_save_LIBS +fi +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $ac_cv_lib_dl_dlopen" >&5 +$as_echo "$ac_cv_lib_dl_dlopen" >&6; } +if test "x$ac_cv_lib_dl_dlopen" = x""yes; then : + lt_cv_dlopen="dlopen" lt_cv_dlopen_libs="-ldl" +else + + lt_cv_dlopen="dyld" + lt_cv_dlopen_libs= + lt_cv_dlopen_self=yes + +fi + + ;; + + *) + ac_fn_c_check_func "$LINENO" "shl_load" "ac_cv_func_shl_load" +if test "x$ac_cv_func_shl_load" = x""yes; then : + lt_cv_dlopen="shl_load" +else + { $as_echo "$as_me:${as_lineno-$LINENO}: checking for shl_load in -ldld" >&5 +$as_echo_n "checking for shl_load in -ldld... " >&6; } +if test "${ac_cv_lib_dld_shl_load+set}" = set; then : + $as_echo_n "(cached) " >&6 +else + ac_check_lib_save_LIBS=$LIBS +LIBS="-ldld $LIBS" +if test x$gcc_no_link = xyes; then + as_fn_error "Link tests are not allowed after GCC_NO_EXECUTABLES." "$LINENO" 5 +fi +cat confdefs.h - <<_ACEOF >conftest.$ac_ext +/* end confdefs.h. */ + +/* Override any GCC internal prototype to avoid an error. + Use char because int might match the return type of a GCC + builtin and then its argument prototype would still apply. */ +#ifdef __cplusplus +extern "C" +#endif +char shl_load (); +int +main () +{ +return shl_load (); + ; + return 0; +} +_ACEOF +if ac_fn_c_try_link "$LINENO"; then : + ac_cv_lib_dld_shl_load=yes +else + ac_cv_lib_dld_shl_load=no +fi +rm -f core conftest.err conftest.$ac_objext \ + conftest$ac_exeext conftest.$ac_ext +LIBS=$ac_check_lib_save_LIBS +fi +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $ac_cv_lib_dld_shl_load" >&5 +$as_echo "$ac_cv_lib_dld_shl_load" >&6; } +if test "x$ac_cv_lib_dld_shl_load" = x""yes; then : + lt_cv_dlopen="shl_load" lt_cv_dlopen_libs="-ldld" +else + ac_fn_c_check_func "$LINENO" "dlopen" "ac_cv_func_dlopen" +if test "x$ac_cv_func_dlopen" = x""yes; then : + lt_cv_dlopen="dlopen" +else + { $as_echo "$as_me:${as_lineno-$LINENO}: checking for dlopen in -ldl" >&5 +$as_echo_n "checking for dlopen in -ldl... " >&6; } +if test "${ac_cv_lib_dl_dlopen+set}" = set; then : + $as_echo_n "(cached) " >&6 +else + ac_check_lib_save_LIBS=$LIBS +LIBS="-ldl $LIBS" +if test x$gcc_no_link = xyes; then + as_fn_error "Link tests are not allowed after GCC_NO_EXECUTABLES." "$LINENO" 5 +fi +cat confdefs.h - <<_ACEOF >conftest.$ac_ext +/* end confdefs.h. */ + +/* Override any GCC internal prototype to avoid an error. + Use char because int might match the return type of a GCC + builtin and then its argument prototype would still apply. */ +#ifdef __cplusplus +extern "C" +#endif +char dlopen (); +int +main () +{ +return dlopen (); + ; + return 0; +} +_ACEOF +if ac_fn_c_try_link "$LINENO"; then : + ac_cv_lib_dl_dlopen=yes +else + ac_cv_lib_dl_dlopen=no +fi +rm -f core conftest.err conftest.$ac_objext \ + conftest$ac_exeext conftest.$ac_ext +LIBS=$ac_check_lib_save_LIBS +fi +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $ac_cv_lib_dl_dlopen" >&5 +$as_echo "$ac_cv_lib_dl_dlopen" >&6; } +if test "x$ac_cv_lib_dl_dlopen" = x""yes; then : + lt_cv_dlopen="dlopen" lt_cv_dlopen_libs="-ldl" +else + { $as_echo "$as_me:${as_lineno-$LINENO}: checking for dlopen in -lsvld" >&5 +$as_echo_n "checking for dlopen in -lsvld... " >&6; } +if test "${ac_cv_lib_svld_dlopen+set}" = set; then : + $as_echo_n "(cached) " >&6 +else + ac_check_lib_save_LIBS=$LIBS +LIBS="-lsvld $LIBS" +if test x$gcc_no_link = xyes; then + as_fn_error "Link tests are not allowed after GCC_NO_EXECUTABLES." "$LINENO" 5 +fi +cat confdefs.h - <<_ACEOF >conftest.$ac_ext +/* end confdefs.h. */ + +/* Override any GCC internal prototype to avoid an error. + Use char because int might match the return type of a GCC + builtin and then its argument prototype would still apply. */ +#ifdef __cplusplus +extern "C" +#endif +char dlopen (); +int +main () +{ +return dlopen (); + ; + return 0; +} +_ACEOF +if ac_fn_c_try_link "$LINENO"; then : + ac_cv_lib_svld_dlopen=yes +else + ac_cv_lib_svld_dlopen=no +fi +rm -f core conftest.err conftest.$ac_objext \ + conftest$ac_exeext conftest.$ac_ext +LIBS=$ac_check_lib_save_LIBS +fi +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $ac_cv_lib_svld_dlopen" >&5 +$as_echo "$ac_cv_lib_svld_dlopen" >&6; } +if test "x$ac_cv_lib_svld_dlopen" = x""yes; then : + lt_cv_dlopen="dlopen" lt_cv_dlopen_libs="-lsvld" +else + { $as_echo "$as_me:${as_lineno-$LINENO}: checking for dld_link in -ldld" >&5 +$as_echo_n "checking for dld_link in -ldld... " >&6; } +if test "${ac_cv_lib_dld_dld_link+set}" = set; then : + $as_echo_n "(cached) " >&6 +else + ac_check_lib_save_LIBS=$LIBS +LIBS="-ldld $LIBS" +if test x$gcc_no_link = xyes; then + as_fn_error "Link tests are not allowed after GCC_NO_EXECUTABLES." "$LINENO" 5 +fi +cat confdefs.h - <<_ACEOF >conftest.$ac_ext +/* end confdefs.h. */ + +/* Override any GCC internal prototype to avoid an error. + Use char because int might match the return type of a GCC + builtin and then its argument prototype would still apply. */ +#ifdef __cplusplus +extern "C" +#endif +char dld_link (); +int +main () +{ +return dld_link (); + ; + return 0; +} +_ACEOF +if ac_fn_c_try_link "$LINENO"; then : + ac_cv_lib_dld_dld_link=yes +else + ac_cv_lib_dld_dld_link=no +fi +rm -f core conftest.err conftest.$ac_objext \ + conftest$ac_exeext conftest.$ac_ext +LIBS=$ac_check_lib_save_LIBS +fi +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $ac_cv_lib_dld_dld_link" >&5 +$as_echo "$ac_cv_lib_dld_dld_link" >&6; } +if test "x$ac_cv_lib_dld_dld_link" = x""yes; then : + lt_cv_dlopen="dld_link" lt_cv_dlopen_libs="-ldld" +fi + + +fi + + +fi + + +fi + + +fi + + +fi + + ;; + esac + + if test "x$lt_cv_dlopen" != xno; then + enable_dlopen=yes + else + enable_dlopen=no + fi + + case $lt_cv_dlopen in + dlopen) + save_CPPFLAGS="$CPPFLAGS" + test "x$ac_cv_header_dlfcn_h" = xyes && CPPFLAGS="$CPPFLAGS -DHAVE_DLFCN_H" + + save_LDFLAGS="$LDFLAGS" + wl=$lt_prog_compiler_wl eval LDFLAGS=\"\$LDFLAGS $export_dynamic_flag_spec\" + + save_LIBS="$LIBS" + LIBS="$lt_cv_dlopen_libs $LIBS" + + { $as_echo "$as_me:${as_lineno-$LINENO}: checking whether a program can dlopen itself" >&5 +$as_echo_n "checking whether a program can dlopen itself... " >&6; } +if test "${lt_cv_dlopen_self+set}" = set; then : + $as_echo_n "(cached) " >&6 +else + if test "$cross_compiling" = yes; then : + lt_cv_dlopen_self=cross +else + lt_dlunknown=0; lt_dlno_uscore=1; lt_dlneed_uscore=2 + lt_status=$lt_dlunknown + cat > conftest.$ac_ext <<_LT_EOF +#line 10516 "configure" +#include "confdefs.h" + +#if HAVE_DLFCN_H +#include <dlfcn.h> +#endif + +#include <stdio.h> + +#ifdef RTLD_GLOBAL +# define LT_DLGLOBAL RTLD_GLOBAL +#else +# ifdef DL_GLOBAL +# define LT_DLGLOBAL DL_GLOBAL +# else +# define LT_DLGLOBAL 0 +# endif +#endif + +/* We may have to define LT_DLLAZY_OR_NOW in the command line if we + find out it does not work in some platform. */ +#ifndef LT_DLLAZY_OR_NOW +# ifdef RTLD_LAZY +# define LT_DLLAZY_OR_NOW RTLD_LAZY +# else +# ifdef DL_LAZY +# define LT_DLLAZY_OR_NOW DL_LAZY +# else +# ifdef RTLD_NOW +# define LT_DLLAZY_OR_NOW RTLD_NOW +# else +# ifdef DL_NOW +# define LT_DLLAZY_OR_NOW DL_NOW +# else +# define LT_DLLAZY_OR_NOW 0 +# endif +# endif +# endif +# endif +#endif + +/* When -fvisbility=hidden is used, assume the code has been annotated + correspondingly for the symbols needed. */ +#if defined(__GNUC__) && (((__GNUC__ == 3) && (__GNUC_MINOR__ >= 3)) || (__GNUC__ > 3)) +void fnord () __attribute__((visibility("default"))); +#endif + +void fnord () { int i=42; } +int main () +{ + void *self = dlopen (0, LT_DLGLOBAL|LT_DLLAZY_OR_NOW); + int status = $lt_dlunknown; + + if (self) + { + if (dlsym (self,"fnord")) status = $lt_dlno_uscore; + else + { + if (dlsym( self,"_fnord")) status = $lt_dlneed_uscore; + else puts (dlerror ()); + } + /* dlclose (self); */ + } + else + puts (dlerror ()); + + return status; +} +_LT_EOF + if { { eval echo "\"\$as_me\":${as_lineno-$LINENO}: \"$ac_link\""; } >&5 + (eval $ac_link) 2>&5 + ac_status=$? + $as_echo "$as_me:${as_lineno-$LINENO}: \$? = $ac_status" >&5 + test $ac_status = 0; } && test -s conftest${ac_exeext} 2>/dev/null; then + (./conftest; exit; ) >&5 2>/dev/null + lt_status=$? + case x$lt_status in + x$lt_dlno_uscore) lt_cv_dlopen_self=yes ;; + x$lt_dlneed_uscore) lt_cv_dlopen_self=yes ;; + x$lt_dlunknown|x*) lt_cv_dlopen_self=no ;; + esac + else : + # compilation failed + lt_cv_dlopen_self=no + fi +fi +rm -fr conftest* + + +fi +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $lt_cv_dlopen_self" >&5 +$as_echo "$lt_cv_dlopen_self" >&6; } + + if test "x$lt_cv_dlopen_self" = xyes; then + wl=$lt_prog_compiler_wl eval LDFLAGS=\"\$LDFLAGS $lt_prog_compiler_static\" + { $as_echo "$as_me:${as_lineno-$LINENO}: checking whether a statically linked program can dlopen itself" >&5 +$as_echo_n "checking whether a statically linked program can dlopen itself... " >&6; } +if test "${lt_cv_dlopen_self_static+set}" = set; then : + $as_echo_n "(cached) " >&6 +else + if test "$cross_compiling" = yes; then : + lt_cv_dlopen_self_static=cross +else + lt_dlunknown=0; lt_dlno_uscore=1; lt_dlneed_uscore=2 + lt_status=$lt_dlunknown + cat > conftest.$ac_ext <<_LT_EOF +#line 10622 "configure" +#include "confdefs.h" + +#if HAVE_DLFCN_H +#include <dlfcn.h> +#endif + +#include <stdio.h> + +#ifdef RTLD_GLOBAL +# define LT_DLGLOBAL RTLD_GLOBAL +#else +# ifdef DL_GLOBAL +# define LT_DLGLOBAL DL_GLOBAL +# else +# define LT_DLGLOBAL 0 +# endif +#endif + +/* We may have to define LT_DLLAZY_OR_NOW in the command line if we + find out it does not work in some platform. */ +#ifndef LT_DLLAZY_OR_NOW +# ifdef RTLD_LAZY +# define LT_DLLAZY_OR_NOW RTLD_LAZY +# else +# ifdef DL_LAZY +# define LT_DLLAZY_OR_NOW DL_LAZY +# else +# ifdef RTLD_NOW +# define LT_DLLAZY_OR_NOW RTLD_NOW +# else +# ifdef DL_NOW +# define LT_DLLAZY_OR_NOW DL_NOW +# else +# define LT_DLLAZY_OR_NOW 0 +# endif +# endif +# endif +# endif +#endif + +/* When -fvisbility=hidden is used, assume the code has been annotated + correspondingly for the symbols needed. */ +#if defined(__GNUC__) && (((__GNUC__ == 3) && (__GNUC_MINOR__ >= 3)) || (__GNUC__ > 3)) +void fnord () __attribute__((visibility("default"))); +#endif + +void fnord () { int i=42; } +int main () +{ + void *self = dlopen (0, LT_DLGLOBAL|LT_DLLAZY_OR_NOW); + int status = $lt_dlunknown; + + if (self) + { + if (dlsym (self,"fnord")) status = $lt_dlno_uscore; + else + { + if (dlsym( self,"_fnord")) status = $lt_dlneed_uscore; + else puts (dlerror ()); + } + /* dlclose (self); */ + } + else + puts (dlerror ()); + + return status; +} +_LT_EOF + if { { eval echo "\"\$as_me\":${as_lineno-$LINENO}: \"$ac_link\""; } >&5 + (eval $ac_link) 2>&5 + ac_status=$? + $as_echo "$as_me:${as_lineno-$LINENO}: \$? = $ac_status" >&5 + test $ac_status = 0; } && test -s conftest${ac_exeext} 2>/dev/null; then + (./conftest; exit; ) >&5 2>/dev/null + lt_status=$? + case x$lt_status in + x$lt_dlno_uscore) lt_cv_dlopen_self_static=yes ;; + x$lt_dlneed_uscore) lt_cv_dlopen_self_static=yes ;; + x$lt_dlunknown|x*) lt_cv_dlopen_self_static=no ;; + esac + else : + # compilation failed + lt_cv_dlopen_self_static=no + fi +fi +rm -fr conftest* + + +fi +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $lt_cv_dlopen_self_static" >&5 +$as_echo "$lt_cv_dlopen_self_static" >&6; } + fi + + CPPFLAGS="$save_CPPFLAGS" + LDFLAGS="$save_LDFLAGS" + LIBS="$save_LIBS" + ;; + esac + + case $lt_cv_dlopen_self in + yes|no) enable_dlopen_self=$lt_cv_dlopen_self ;; + *) enable_dlopen_self=unknown ;; + esac + + case $lt_cv_dlopen_self_static in + yes|no) enable_dlopen_self_static=$lt_cv_dlopen_self_static ;; + *) enable_dlopen_self_static=unknown ;; + esac +fi + + + + + + + + + + + + + + + + + +striplib= +old_striplib= +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking whether stripping libraries is possible" >&5 +$as_echo_n "checking whether stripping libraries is possible... " >&6; } +if test -n "$STRIP" && $STRIP -V 2>&1 | $GREP "GNU strip" >/dev/null; then + test -z "$old_striplib" && old_striplib="$STRIP --strip-debug" + test -z "$striplib" && striplib="$STRIP --strip-unneeded" + { $as_echo "$as_me:${as_lineno-$LINENO}: result: yes" >&5 +$as_echo "yes" >&6; } +else +# FIXME - insert some real tests, host_os isn't really good enough + case $host_os in + darwin*) + if test -n "$STRIP" ; then + striplib="$STRIP -x" + old_striplib="$STRIP -S" + { $as_echo "$as_me:${as_lineno-$LINENO}: result: yes" >&5 +$as_echo "yes" >&6; } + else + { $as_echo "$as_me:${as_lineno-$LINENO}: result: no" >&5 +$as_echo "no" >&6; } + fi + ;; + *) + { $as_echo "$as_me:${as_lineno-$LINENO}: result: no" >&5 +$as_echo "no" >&6; } + ;; + esac +fi + + + + + + + + + + + + + # Report which library types will actually be built + { $as_echo "$as_me:${as_lineno-$LINENO}: checking if libtool supports shared libraries" >&5 +$as_echo_n "checking if libtool supports shared libraries... " >&6; } + { $as_echo "$as_me:${as_lineno-$LINENO}: result: $can_build_shared" >&5 +$as_echo "$can_build_shared" >&6; } + + { $as_echo "$as_me:${as_lineno-$LINENO}: checking whether to build shared libraries" >&5 +$as_echo_n "checking whether to build shared libraries... " >&6; } + test "$can_build_shared" = "no" && enable_shared=no + + # On AIX, shared libraries and static libraries use the same namespace, and + # are all built from PIC. + case $host_os in + aix3*) + test "$enable_shared" = yes && enable_static=no + if test -n "$RANLIB"; then + archive_cmds="$archive_cmds~\$RANLIB \$lib" + postinstall_cmds='$RANLIB $lib' + fi + ;; + + aix[4-9]*) + if test "$host_cpu" != ia64 && test "$aix_use_runtimelinking" = no ; then + test "$enable_shared" = yes && enable_static=no + fi + ;; + esac + { $as_echo "$as_me:${as_lineno-$LINENO}: result: $enable_shared" >&5 +$as_echo "$enable_shared" >&6; } + + { $as_echo "$as_me:${as_lineno-$LINENO}: checking whether to build static libraries" >&5 +$as_echo_n "checking whether to build static libraries... " >&6; } + # Make sure either enable_shared or enable_static is yes. + test "$enable_shared" = yes || enable_static=yes + { $as_echo "$as_me:${as_lineno-$LINENO}: result: $enable_static" >&5 +$as_echo "$enable_static" >&6; } + + + + +fi +ac_ext=c +ac_cpp='$CPP $CPPFLAGS' +ac_compile='$CC -c $CFLAGS $CPPFLAGS conftest.$ac_ext >&5' +ac_link='$CC -o conftest$ac_exeext $CFLAGS $CPPFLAGS $LDFLAGS conftest.$ac_ext $LIBS >&5' +ac_compiler_gnu=$ac_cv_c_compiler_gnu + +CC="$lt_save_CC" + + + + + + + + + + + + + + ac_config_commands="$ac_config_commands libtool" + + + + +# Only expand once: + + + + + +case $host in + *-cygwin* | *-mingw*) + # 'host' will be top-level target in the case of a target lib, + # we must compare to with_cross_host to decide if this is a native + # or cross-compiler and select where to install dlls appropriately. + if test -n "$with_cross_host" && + test x"$with_cross_host" != x"no"; then + lt_host_flags='-no-undefined -bindir "$(toolexeclibdir)"'; + else + lt_host_flags='-no-undefined -bindir "$(bindir)"'; + fi + ;; + *) + lt_host_flags= + ;; +esac + + + + + + + +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking whether to enable maintainer-specific portions of Makefiles" >&5 +$as_echo_n "checking whether to enable maintainer-specific portions of Makefiles... " >&6; } + # Check whether --enable-maintainer-mode was given. +if test "${enable_maintainer_mode+set}" = set; then : + enableval=$enable_maintainer_mode; USE_MAINTAINER_MODE=$enableval +else + USE_MAINTAINER_MODE=no +fi + + { $as_echo "$as_me:${as_lineno-$LINENO}: result: $USE_MAINTAINER_MODE" >&5 +$as_echo "$USE_MAINTAINER_MODE" >&6; } + if test $USE_MAINTAINER_MODE = yes; then + MAINTAINER_MODE_TRUE= + MAINTAINER_MODE_FALSE='#' +else + MAINTAINER_MODE_TRUE='#' + MAINTAINER_MODE_FALSE= +fi + + MAINT=$MAINTAINER_MODE_TRUE + + +# Default to --enable-multilib +# Check whether --enable-multilib was given. +if test "${enable_multilib+set}" = set; then : + enableval=$enable_multilib; case "$enableval" in + yes) multilib=yes ;; + no) multilib=no ;; + *) as_fn_error "bad value $enableval for multilib option" "$LINENO" 5 ;; + esac +else + multilib=yes +fi + + +# We may get other options which we leave undocumented: +# --with-target-subdir, --with-multisrctop, --with-multisubdir +# See config-ml.in if you want the gory details. + +if test "$srcdir" = "."; then + if test "$with_target_subdir" != "."; then + multi_basedir="$srcdir/$with_multisrctop../.." + else + multi_basedir="$srcdir/$with_multisrctop.." + fi +else + multi_basedir="$srcdir/.." +fi + + +# Even if the default multilib is not a cross compilation, +# it may be that some of the other multilibs are. +if test $cross_compiling = no && test $multilib = yes \ + && test "x${with_multisubdir}" != x ; then + cross_compiling=maybe +fi + +ac_config_commands="$ac_config_commands default-1" + + +ac_ext=c +ac_cpp='$CPP $CPPFLAGS' +ac_compile='$CC -c $CFLAGS $CPPFLAGS conftest.$ac_ext >&5' +ac_link='$CC -o conftest$ac_exeext $CFLAGS $CPPFLAGS $LDFLAGS conftest.$ac_ext $LIBS >&5' +ac_compiler_gnu=$ac_cv_c_compiler_gnu + +# The same as in boehm-gc and libstdc++. Have to borrow it from there. +# We must force CC to /not/ be precious variables; otherwise +# the wrong, non-multilib-adjusted value will be used in multilibs. +# As a side effect, we have to subst CFLAGS ourselves. + + + +ac_ext=c +ac_cpp='$CPP $CPPFLAGS' +ac_compile='$CC -c $CFLAGS $CPPFLAGS conftest.$ac_ext >&5' +ac_link='$CC -o conftest$ac_exeext $CFLAGS $CPPFLAGS $LDFLAGS conftest.$ac_ext $LIBS >&5' +ac_compiler_gnu=$ac_cv_c_compiler_gnu +if test -n "$ac_tool_prefix"; then + # Extract the first word of "${ac_tool_prefix}gcc", so it can be a program name with args. +set dummy ${ac_tool_prefix}gcc; ac_word=$2 +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking for $ac_word" >&5 +$as_echo_n "checking for $ac_word... " >&6; } +if test "${ac_cv_prog_CC+set}" = set; then : + $as_echo_n "(cached) " >&6 +else + if test -n "$CC"; then + ac_cv_prog_CC="$CC" # Let the user override the test. +else +as_save_IFS=$IFS; IFS=$PATH_SEPARATOR +for as_dir in $PATH +do + IFS=$as_save_IFS + test -z "$as_dir" && as_dir=. + for ac_exec_ext in '' $ac_executable_extensions; do + if { test -f "$as_dir/$ac_word$ac_exec_ext" && $as_test_x "$as_dir/$ac_word$ac_exec_ext"; }; then + ac_cv_prog_CC="${ac_tool_prefix}gcc" + $as_echo "$as_me:${as_lineno-$LINENO}: found $as_dir/$ac_word$ac_exec_ext" >&5 + break 2 + fi +done + done +IFS=$as_save_IFS + +fi +fi +CC=$ac_cv_prog_CC +if test -n "$CC"; then + { $as_echo "$as_me:${as_lineno-$LINENO}: result: $CC" >&5 +$as_echo "$CC" >&6; } +else + { $as_echo "$as_me:${as_lineno-$LINENO}: result: no" >&5 +$as_echo "no" >&6; } +fi + + +fi +if test -z "$ac_cv_prog_CC"; then + ac_ct_CC=$CC + # Extract the first word of "gcc", so it can be a program name with args. +set dummy gcc; ac_word=$2 +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking for $ac_word" >&5 +$as_echo_n "checking for $ac_word... " >&6; } +if test "${ac_cv_prog_ac_ct_CC+set}" = set; then : + $as_echo_n "(cached) " >&6 +else + if test -n "$ac_ct_CC"; then + ac_cv_prog_ac_ct_CC="$ac_ct_CC" # Let the user override the test. +else +as_save_IFS=$IFS; IFS=$PATH_SEPARATOR +for as_dir in $PATH +do + IFS=$as_save_IFS + test -z "$as_dir" && as_dir=. + for ac_exec_ext in '' $ac_executable_extensions; do + if { test -f "$as_dir/$ac_word$ac_exec_ext" && $as_test_x "$as_dir/$ac_word$ac_exec_ext"; }; then + ac_cv_prog_ac_ct_CC="gcc" + $as_echo "$as_me:${as_lineno-$LINENO}: found $as_dir/$ac_word$ac_exec_ext" >&5 + break 2 + fi +done + done +IFS=$as_save_IFS + +fi +fi +ac_ct_CC=$ac_cv_prog_ac_ct_CC +if test -n "$ac_ct_CC"; then + { $as_echo "$as_me:${as_lineno-$LINENO}: result: $ac_ct_CC" >&5 +$as_echo "$ac_ct_CC" >&6; } +else + { $as_echo "$as_me:${as_lineno-$LINENO}: result: no" >&5 +$as_echo "no" >&6; } +fi + + if test "x$ac_ct_CC" = x; then + CC="" + else + case $cross_compiling:$ac_tool_warned in +yes:) +{ $as_echo "$as_me:${as_lineno-$LINENO}: WARNING: using cross tools not prefixed with host triplet" >&5 +$as_echo "$as_me: WARNING: using cross tools not prefixed with host triplet" >&2;} +ac_tool_warned=yes ;; +esac + CC=$ac_ct_CC + fi +else + CC="$ac_cv_prog_CC" +fi + +if test -z "$CC"; then + if test -n "$ac_tool_prefix"; then + # Extract the first word of "${ac_tool_prefix}cc", so it can be a program name with args. +set dummy ${ac_tool_prefix}cc; ac_word=$2 +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking for $ac_word" >&5 +$as_echo_n "checking for $ac_word... " >&6; } +if test "${ac_cv_prog_CC+set}" = set; then : + $as_echo_n "(cached) " >&6 +else + if test -n "$CC"; then + ac_cv_prog_CC="$CC" # Let the user override the test. +else +as_save_IFS=$IFS; IFS=$PATH_SEPARATOR +for as_dir in $PATH +do + IFS=$as_save_IFS + test -z "$as_dir" && as_dir=. + for ac_exec_ext in '' $ac_executable_extensions; do + if { test -f "$as_dir/$ac_word$ac_exec_ext" && $as_test_x "$as_dir/$ac_word$ac_exec_ext"; }; then + ac_cv_prog_CC="${ac_tool_prefix}cc" + $as_echo "$as_me:${as_lineno-$LINENO}: found $as_dir/$ac_word$ac_exec_ext" >&5 + break 2 + fi +done + done +IFS=$as_save_IFS + +fi +fi +CC=$ac_cv_prog_CC +if test -n "$CC"; then + { $as_echo "$as_me:${as_lineno-$LINENO}: result: $CC" >&5 +$as_echo "$CC" >&6; } +else + { $as_echo "$as_me:${as_lineno-$LINENO}: result: no" >&5 +$as_echo "no" >&6; } +fi + + + fi +fi +if test -z "$CC"; then + # Extract the first word of "cc", so it can be a program name with args. +set dummy cc; ac_word=$2 +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking for $ac_word" >&5 +$as_echo_n "checking for $ac_word... " >&6; } +if test "${ac_cv_prog_CC+set}" = set; then : + $as_echo_n "(cached) " >&6 +else + if test -n "$CC"; then + ac_cv_prog_CC="$CC" # Let the user override the test. +else + ac_prog_rejected=no +as_save_IFS=$IFS; IFS=$PATH_SEPARATOR +for as_dir in $PATH +do + IFS=$as_save_IFS + test -z "$as_dir" && as_dir=. + for ac_exec_ext in '' $ac_executable_extensions; do + if { test -f "$as_dir/$ac_word$ac_exec_ext" && $as_test_x "$as_dir/$ac_word$ac_exec_ext"; }; then + if test "$as_dir/$ac_word$ac_exec_ext" = "/usr/ucb/cc"; then + ac_prog_rejected=yes + continue + fi + ac_cv_prog_CC="cc" + $as_echo "$as_me:${as_lineno-$LINENO}: found $as_dir/$ac_word$ac_exec_ext" >&5 + break 2 + fi +done + done +IFS=$as_save_IFS + +if test $ac_prog_rejected = yes; then + # We found a bogon in the path, so make sure we never use it. + set dummy $ac_cv_prog_CC + shift + if test $# != 0; then + # We chose a different compiler from the bogus one. + # However, it has the same basename, so the bogon will be chosen + # first if we set CC to just the basename; use the full file name. + shift + ac_cv_prog_CC="$as_dir/$ac_word${1+' '}$@" + fi +fi +fi +fi +CC=$ac_cv_prog_CC +if test -n "$CC"; then + { $as_echo "$as_me:${as_lineno-$LINENO}: result: $CC" >&5 +$as_echo "$CC" >&6; } +else + { $as_echo "$as_me:${as_lineno-$LINENO}: result: no" >&5 +$as_echo "no" >&6; } +fi + + +fi +if test -z "$CC"; then + if test -n "$ac_tool_prefix"; then + for ac_prog in cl.exe + do + # Extract the first word of "$ac_tool_prefix$ac_prog", so it can be a program name with args. +set dummy $ac_tool_prefix$ac_prog; ac_word=$2 +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking for $ac_word" >&5 +$as_echo_n "checking for $ac_word... " >&6; } +if test "${ac_cv_prog_CC+set}" = set; then : + $as_echo_n "(cached) " >&6 +else + if test -n "$CC"; then + ac_cv_prog_CC="$CC" # Let the user override the test. +else +as_save_IFS=$IFS; IFS=$PATH_SEPARATOR +for as_dir in $PATH +do + IFS=$as_save_IFS + test -z "$as_dir" && as_dir=. + for ac_exec_ext in '' $ac_executable_extensions; do + if { test -f "$as_dir/$ac_word$ac_exec_ext" && $as_test_x "$as_dir/$ac_word$ac_exec_ext"; }; then + ac_cv_prog_CC="$ac_tool_prefix$ac_prog" + $as_echo "$as_me:${as_lineno-$LINENO}: found $as_dir/$ac_word$ac_exec_ext" >&5 + break 2 + fi +done + done +IFS=$as_save_IFS + +fi +fi +CC=$ac_cv_prog_CC +if test -n "$CC"; then + { $as_echo "$as_me:${as_lineno-$LINENO}: result: $CC" >&5 +$as_echo "$CC" >&6; } +else + { $as_echo "$as_me:${as_lineno-$LINENO}: result: no" >&5 +$as_echo "no" >&6; } +fi + + + test -n "$CC" && break + done +fi +if test -z "$CC"; then + ac_ct_CC=$CC + for ac_prog in cl.exe +do + # Extract the first word of "$ac_prog", so it can be a program name with args. +set dummy $ac_prog; ac_word=$2 +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking for $ac_word" >&5 +$as_echo_n "checking for $ac_word... " >&6; } +if test "${ac_cv_prog_ac_ct_CC+set}" = set; then : + $as_echo_n "(cached) " >&6 +else + if test -n "$ac_ct_CC"; then + ac_cv_prog_ac_ct_CC="$ac_ct_CC" # Let the user override the test. +else +as_save_IFS=$IFS; IFS=$PATH_SEPARATOR +for as_dir in $PATH +do + IFS=$as_save_IFS + test -z "$as_dir" && as_dir=. + for ac_exec_ext in '' $ac_executable_extensions; do + if { test -f "$as_dir/$ac_word$ac_exec_ext" && $as_test_x "$as_dir/$ac_word$ac_exec_ext"; }; then + ac_cv_prog_ac_ct_CC="$ac_prog" + $as_echo "$as_me:${as_lineno-$LINENO}: found $as_dir/$ac_word$ac_exec_ext" >&5 + break 2 + fi +done + done +IFS=$as_save_IFS + +fi +fi +ac_ct_CC=$ac_cv_prog_ac_ct_CC +if test -n "$ac_ct_CC"; then + { $as_echo "$as_me:${as_lineno-$LINENO}: result: $ac_ct_CC" >&5 +$as_echo "$ac_ct_CC" >&6; } +else + { $as_echo "$as_me:${as_lineno-$LINENO}: result: no" >&5 +$as_echo "no" >&6; } +fi + + + test -n "$ac_ct_CC" && break +done + + if test "x$ac_ct_CC" = x; then + CC="" + else + case $cross_compiling:$ac_tool_warned in +yes:) +{ $as_echo "$as_me:${as_lineno-$LINENO}: WARNING: using cross tools not prefixed with host triplet" >&5 +$as_echo "$as_me: WARNING: using cross tools not prefixed with host triplet" >&2;} +ac_tool_warned=yes ;; +esac + CC=$ac_ct_CC + fi +fi + +fi + + +test -z "$CC" && { { $as_echo "$as_me:${as_lineno-$LINENO}: error: in \`$ac_pwd':" >&5 +$as_echo "$as_me: error: in \`$ac_pwd':" >&2;} +as_fn_error "no acceptable C compiler found in \$PATH +See \`config.log' for more details." "$LINENO" 5; } + +# Provide some information about the compiler. +$as_echo "$as_me:${as_lineno-$LINENO}: checking for C compiler version" >&5 +set X $ac_compile +ac_compiler=$2 +for ac_option in --version -v -V -qversion; do + { { ac_try="$ac_compiler $ac_option >&5" +case "(($ac_try" in + *\"* | *\`* | *\\*) ac_try_echo=\$ac_try;; + *) ac_try_echo=$ac_try;; +esac +eval ac_try_echo="\"\$as_me:${as_lineno-$LINENO}: $ac_try_echo\"" +$as_echo "$ac_try_echo"; } >&5 + (eval "$ac_compiler $ac_option >&5") 2>conftest.err + ac_status=$? + if test -s conftest.err; then + sed '10a\ +... rest of stderr output deleted ... + 10q' conftest.err >conftest.er1 + cat conftest.er1 >&5 + rm -f conftest.er1 conftest.err + fi + $as_echo "$as_me:${as_lineno-$LINENO}: \$? = $ac_status" >&5 + test $ac_status = 0; } +done + +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking whether we are using the GNU C compiler" >&5 +$as_echo_n "checking whether we are using the GNU C compiler... " >&6; } +if test "${ac_cv_c_compiler_gnu+set}" = set; then : + $as_echo_n "(cached) " >&6 +else + cat confdefs.h - <<_ACEOF >conftest.$ac_ext +/* end confdefs.h. */ + +int +main () +{ +#ifndef __GNUC__ + choke me +#endif + + ; + return 0; +} +_ACEOF +if ac_fn_c_try_compile "$LINENO"; then : + ac_compiler_gnu=yes +else + ac_compiler_gnu=no +fi +rm -f core conftest.err conftest.$ac_objext conftest.$ac_ext +ac_cv_c_compiler_gnu=$ac_compiler_gnu + +fi +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $ac_cv_c_compiler_gnu" >&5 +$as_echo "$ac_cv_c_compiler_gnu" >&6; } +if test $ac_compiler_gnu = yes; then + GCC=yes +else + GCC= +fi +ac_test_CFLAGS=${CFLAGS+set} +ac_save_CFLAGS=$CFLAGS +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking whether $CC accepts -g" >&5 +$as_echo_n "checking whether $CC accepts -g... " >&6; } +if test "${ac_cv_prog_cc_g+set}" = set; then : + $as_echo_n "(cached) " >&6 +else + ac_save_c_werror_flag=$ac_c_werror_flag + ac_c_werror_flag=yes + ac_cv_prog_cc_g=no + CFLAGS="-g" + cat confdefs.h - <<_ACEOF >conftest.$ac_ext +/* end confdefs.h. */ + +int +main () +{ + + ; + return 0; +} +_ACEOF +if ac_fn_c_try_compile "$LINENO"; then : + ac_cv_prog_cc_g=yes +else + CFLAGS="" + cat confdefs.h - <<_ACEOF >conftest.$ac_ext +/* end confdefs.h. */ + +int +main () +{ + + ; + return 0; +} +_ACEOF +if ac_fn_c_try_compile "$LINENO"; then : + +else + ac_c_werror_flag=$ac_save_c_werror_flag + CFLAGS="-g" + cat confdefs.h - <<_ACEOF >conftest.$ac_ext +/* end confdefs.h. */ + +int +main () +{ + + ; + return 0; +} +_ACEOF +if ac_fn_c_try_compile "$LINENO"; then : + ac_cv_prog_cc_g=yes +fi +rm -f core conftest.err conftest.$ac_objext conftest.$ac_ext +fi +rm -f core conftest.err conftest.$ac_objext conftest.$ac_ext +fi +rm -f core conftest.err conftest.$ac_objext conftest.$ac_ext + ac_c_werror_flag=$ac_save_c_werror_flag +fi +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $ac_cv_prog_cc_g" >&5 +$as_echo "$ac_cv_prog_cc_g" >&6; } +if test "$ac_test_CFLAGS" = set; then + CFLAGS=$ac_save_CFLAGS +elif test $ac_cv_prog_cc_g = yes; then + if test "$GCC" = yes; then + CFLAGS="-g -O2" + else + CFLAGS="-g" + fi +else + if test "$GCC" = yes; then + CFLAGS="-O2" + else + CFLAGS= + fi +fi +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking for $CC option to accept ISO C89" >&5 +$as_echo_n "checking for $CC option to accept ISO C89... " >&6; } +if test "${ac_cv_prog_cc_c89+set}" = set; then : + $as_echo_n "(cached) " >&6 +else + ac_cv_prog_cc_c89=no +ac_save_CC=$CC +cat confdefs.h - <<_ACEOF >conftest.$ac_ext +/* end confdefs.h. */ +#include <stdarg.h> +#include <stdio.h> +#include <sys/types.h> +#include <sys/stat.h> +/* Most of the following tests are stolen from RCS 5.7's src/conf.sh. */ +struct buf { int x; }; +FILE * (*rcsopen) (struct buf *, struct stat *, int); +static char *e (p, i) + char **p; + int i; +{ + return p[i]; +} +static char *f (char * (*g) (char **, int), char **p, ...) +{ + char *s; + va_list v; + va_start (v,p); + s = g (p, va_arg (v,int)); + va_end (v); + return s; +} + +/* OSF 4.0 Compaq cc is some sort of almost-ANSI by default. It has + function prototypes and stuff, but not '\xHH' hex character constants. + These don't provoke an error unfortunately, instead are silently treated + as 'x'. The following induces an error, until -std is added to get + proper ANSI mode. Curiously '\x00'!='x' always comes out true, for an + array size at least. It's necessary to write '\x00'==0 to get something + that's true only with -std. */ +int osf4_cc_array ['\x00' == 0 ? 1 : -1]; + +/* IBM C 6 for AIX is almost-ANSI by default, but it replaces macro parameters + inside strings and character constants. */ +#define FOO(x) 'x' +int xlc6_cc_array[FOO(a) == 'x' ? 1 : -1]; + +int test (int i, double x); +struct s1 {int (*f) (int a);}; +struct s2 {int (*f) (double a);}; +int pairnames (int, char **, FILE *(*)(struct buf *, struct stat *, int), int, int); +int argc; +char **argv; +int +main () +{ +return f (e, argv, 0) != argv[0] || f (e, argv, 1) != argv[1]; + ; + return 0; +} +_ACEOF +for ac_arg in '' -qlanglvl=extc89 -qlanglvl=ansi -std \ + -Ae "-Aa -D_HPUX_SOURCE" "-Xc -D__EXTENSIONS__" +do + CC="$ac_save_CC $ac_arg" + if ac_fn_c_try_compile "$LINENO"; then : + ac_cv_prog_cc_c89=$ac_arg +fi +rm -f core conftest.err conftest.$ac_objext + test "x$ac_cv_prog_cc_c89" != "xno" && break +done +rm -f conftest.$ac_ext +CC=$ac_save_CC + +fi +# AC_CACHE_VAL +case "x$ac_cv_prog_cc_c89" in + x) + { $as_echo "$as_me:${as_lineno-$LINENO}: result: none needed" >&5 +$as_echo "none needed" >&6; } ;; + xno) + { $as_echo "$as_me:${as_lineno-$LINENO}: result: unsupported" >&5 +$as_echo "unsupported" >&6; } ;; + *) + CC="$CC $ac_cv_prog_cc_c89" + { $as_echo "$as_me:${as_lineno-$LINENO}: result: $ac_cv_prog_cc_c89" >&5 +$as_echo "$ac_cv_prog_cc_c89" >&6; } ;; +esac +if test "x$ac_cv_prog_cc_c89" != xno; then : + +fi + +ac_ext=c +ac_cpp='$CPP $CPPFLAGS' +ac_compile='$CC -c $CFLAGS $CPPFLAGS conftest.$ac_ext >&5' +ac_link='$CC -o conftest$ac_exeext $CFLAGS $CPPFLAGS $LDFLAGS conftest.$ac_ext $LIBS >&5' +ac_compiler_gnu=$ac_cv_c_compiler_gnu + +depcc="$CC" am_compiler_list= + +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking dependency style of $depcc" >&5 +$as_echo_n "checking dependency style of $depcc... " >&6; } +if test "${am_cv_CC_dependencies_compiler_type+set}" = set; then : + $as_echo_n "(cached) " >&6 +else + if test -z "$AMDEP_TRUE" && test -f "$am_depcomp"; then + # We make a subdir and do the tests there. Otherwise we can end up + # making bogus files that we don't know about and never remove. For + # instance it was reported that on HP-UX the gcc test will end up + # making a dummy file named `D' -- because `-MD' means `put the output + # in D'. + mkdir conftest.dir + # Copy depcomp to subdir because otherwise we won't find it if we're + # using a relative directory. + cp "$am_depcomp" conftest.dir + cd conftest.dir + # We will build objects and dependencies in a subdirectory because + # it helps to detect inapplicable dependency modes. For instance + # both Tru64's cc and ICC support -MD to output dependencies as a + # side effect of compilation, but ICC will put the dependencies in + # the current directory while Tru64 will put them in the object + # directory. + mkdir sub + + am_cv_CC_dependencies_compiler_type=none + if test "$am_compiler_list" = ""; then + am_compiler_list=`sed -n 's/^#*\([a-zA-Z0-9]*\))$/\1/p' < ./depcomp` + fi + am__universal=false + case " $depcc " in #( + *\ -arch\ *\ -arch\ *) am__universal=true ;; + esac + + for depmode in $am_compiler_list; do + # Setup a source with many dependencies, because some compilers + # like to wrap large dependency lists on column 80 (with \), and + # we should not choose a depcomp mode which is confused by this. + # + # We need to recreate these files for each test, as the compiler may + # overwrite some of them when testing with obscure command lines. + # This happens at least with the AIX C compiler. + : > sub/conftest.c + for i in 1 2 3 4 5 6; do + echo '#include "conftst'$i'.h"' >> sub/conftest.c + # Using `: > sub/conftst$i.h' creates only sub/conftst1.h with + # Solaris 8's {/usr,}/bin/sh. + touch sub/conftst$i.h + done + echo "${am__include} ${am__quote}sub/conftest.Po${am__quote}" > confmf + + # We check with `-c' and `-o' for the sake of the "dashmstdout" + # mode. It turns out that the SunPro C++ compiler does not properly + # handle `-M -o', and we need to detect this. Also, some Intel + # versions had trouble with output in subdirs + am__obj=sub/conftest.${OBJEXT-o} + am__minus_obj="-o $am__obj" + case $depmode in + gcc) + # This depmode causes a compiler race in universal mode. + test "$am__universal" = false || continue + ;; + nosideeffect) + # after this tag, mechanisms are not by side-effect, so they'll + # only be used when explicitly requested + if test "x$enable_dependency_tracking" = xyes; then + continue + else + break + fi + ;; + msvisualcpp | msvcmsys) + # This compiler won't grok `-c -o', but also, the minuso test has + # not run yet. These depmodes are late enough in the game, and + # so weak that their functioning should not be impacted. + am__obj=conftest.${OBJEXT-o} + am__minus_obj= + ;; + none) break ;; + esac + if depmode=$depmode \ + source=sub/conftest.c object=$am__obj \ + depfile=sub/conftest.Po tmpdepfile=sub/conftest.TPo \ + $SHELL ./depcomp $depcc -c $am__minus_obj sub/conftest.c \ + >/dev/null 2>conftest.err && + grep sub/conftst1.h sub/conftest.Po > /dev/null 2>&1 && + grep sub/conftst6.h sub/conftest.Po > /dev/null 2>&1 && + grep $am__obj sub/conftest.Po > /dev/null 2>&1 && + ${MAKE-make} -s -f confmf > /dev/null 2>&1; then + # icc doesn't choke on unknown options, it will just issue warnings + # or remarks (even with -Werror). So we grep stderr for any message + # that says an option was ignored or not supported. + # When given -MP, icc 7.0 and 7.1 complain thusly: + # icc: Command line warning: ignoring option '-M'; no argument required + # The diagnosis changed in icc 8.0: + # icc: Command line remark: option '-MP' not supported + if (grep 'ignoring option' conftest.err || + grep 'not supported' conftest.err) >/dev/null 2>&1; then :; else + am_cv_CC_dependencies_compiler_type=$depmode + break + fi + fi + done + + cd .. + rm -rf conftest.dir +else + am_cv_CC_dependencies_compiler_type=none +fi + +fi +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $am_cv_CC_dependencies_compiler_type" >&5 +$as_echo "$am_cv_CC_dependencies_compiler_type" >&6; } +CCDEPMODE=depmode=$am_cv_CC_dependencies_compiler_type + + if + test "x$enable_dependency_tracking" != xno \ + && test "$am_cv_CC_dependencies_compiler_type" = gcc3; then + am__fastdepCC_TRUE= + am__fastdepCC_FALSE='#' +else + am__fastdepCC_TRUE='#' + am__fastdepCC_FALSE= +fi + + + + + + +if test "x$CC" != xcc; then + { $as_echo "$as_me:${as_lineno-$LINENO}: checking whether $CC and cc understand -c and -o together" >&5 +$as_echo_n "checking whether $CC and cc understand -c and -o together... " >&6; } +else + { $as_echo "$as_me:${as_lineno-$LINENO}: checking whether cc understands -c and -o together" >&5 +$as_echo_n "checking whether cc understands -c and -o together... " >&6; } +fi +set dummy $CC; ac_cc=`$as_echo "$2" | + sed 's/[^a-zA-Z0-9_]/_/g;s/^[0-9]/_/'` +if { as_var=ac_cv_prog_cc_${ac_cc}_c_o; eval "test \"\${$as_var+set}\" = set"; }; then : + $as_echo_n "(cached) " >&6 +else + cat confdefs.h - <<_ACEOF >conftest.$ac_ext +/* end confdefs.h. */ + +int +main () +{ + + ; + return 0; +} +_ACEOF +# Make sure it works both with $CC and with simple cc. +# We do the test twice because some compilers refuse to overwrite an +# existing .o file with -o, though they will create one. +ac_try='$CC -c conftest.$ac_ext -o conftest2.$ac_objext >&5' +rm -f conftest2.* +if { { case "(($ac_try" in + *\"* | *\`* | *\\*) ac_try_echo=\$ac_try;; + *) ac_try_echo=$ac_try;; +esac +eval ac_try_echo="\"\$as_me:${as_lineno-$LINENO}: $ac_try_echo\"" +$as_echo "$ac_try_echo"; } >&5 + (eval "$ac_try") 2>&5 + ac_status=$? + $as_echo "$as_me:${as_lineno-$LINENO}: \$? = $ac_status" >&5 + test $ac_status = 0; } && + test -f conftest2.$ac_objext && { { case "(($ac_try" in + *\"* | *\`* | *\\*) ac_try_echo=\$ac_try;; + *) ac_try_echo=$ac_try;; +esac +eval ac_try_echo="\"\$as_me:${as_lineno-$LINENO}: $ac_try_echo\"" +$as_echo "$ac_try_echo"; } >&5 + (eval "$ac_try") 2>&5 + ac_status=$? + $as_echo "$as_me:${as_lineno-$LINENO}: \$? = $ac_status" >&5 + test $ac_status = 0; }; +then + eval ac_cv_prog_cc_${ac_cc}_c_o=yes + if test "x$CC" != xcc; then + # Test first that cc exists at all. + if { ac_try='cc -c conftest.$ac_ext >&5' + { { case "(($ac_try" in + *\"* | *\`* | *\\*) ac_try_echo=\$ac_try;; + *) ac_try_echo=$ac_try;; +esac +eval ac_try_echo="\"\$as_me:${as_lineno-$LINENO}: $ac_try_echo\"" +$as_echo "$ac_try_echo"; } >&5 + (eval "$ac_try") 2>&5 + ac_status=$? + $as_echo "$as_me:${as_lineno-$LINENO}: \$? = $ac_status" >&5 + test $ac_status = 0; }; }; then + ac_try='cc -c conftest.$ac_ext -o conftest2.$ac_objext >&5' + rm -f conftest2.* + if { { case "(($ac_try" in + *\"* | *\`* | *\\*) ac_try_echo=\$ac_try;; + *) ac_try_echo=$ac_try;; +esac +eval ac_try_echo="\"\$as_me:${as_lineno-$LINENO}: $ac_try_echo\"" +$as_echo "$ac_try_echo"; } >&5 + (eval "$ac_try") 2>&5 + ac_status=$? + $as_echo "$as_me:${as_lineno-$LINENO}: \$? = $ac_status" >&5 + test $ac_status = 0; } && + test -f conftest2.$ac_objext && { { case "(($ac_try" in + *\"* | *\`* | *\\*) ac_try_echo=\$ac_try;; + *) ac_try_echo=$ac_try;; +esac +eval ac_try_echo="\"\$as_me:${as_lineno-$LINENO}: $ac_try_echo\"" +$as_echo "$ac_try_echo"; } >&5 + (eval "$ac_try") 2>&5 + ac_status=$? + $as_echo "$as_me:${as_lineno-$LINENO}: \$? = $ac_status" >&5 + test $ac_status = 0; }; + then + # cc works too. + : + else + # cc exists but doesn't like -o. + eval ac_cv_prog_cc_${ac_cc}_c_o=no + fi + fi + fi +else + eval ac_cv_prog_cc_${ac_cc}_c_o=no +fi +rm -f core conftest* + +fi +if eval test \$ac_cv_prog_cc_${ac_cc}_c_o = yes; then + { $as_echo "$as_me:${as_lineno-$LINENO}: result: yes" >&5 +$as_echo "yes" >&6; } +else + { $as_echo "$as_me:${as_lineno-$LINENO}: result: no" >&5 +$as_echo "no" >&6; } + +$as_echo "#define NO_MINUS_C_MINUS_O 1" >>confdefs.h + +fi + +# FIXME: we rely on the cache variable name because +# there is no other way. +set dummy $CC +am_cc=`echo $2 | sed 's/[^a-zA-Z0-9_]/_/g;s/^[0-9]/_/'` +eval am_t=\$ac_cv_prog_cc_${am_cc}_c_o +if test "$am_t" != yes; then + # Losing compiler, so override with the script. + # FIXME: It is wrong to rewrite CC. + # But if we don't then we get into trouble of one sort or another. + # A longer-term fix would be to have automake use am__CC in this case, + # and then we could set am__CC="\$(top_srcdir)/compile \$(CC)" + CC="$am_aux_dir/compile $CC" +fi + + + +if test "x$GCC" != "xyes"; then + as_fn_error "libquadmath must be built with GCC" "$LINENO" 5 +fi +ac_ext=c +ac_cpp='$CPP $CPPFLAGS' +ac_compile='$CC -c $CFLAGS $CPPFLAGS conftest.$ac_ext >&5' +ac_link='$CC -o conftest$ac_exeext $CFLAGS $CPPFLAGS $LDFLAGS conftest.$ac_ext $LIBS >&5' +ac_compiler_gnu=$ac_cv_c_compiler_gnu +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking how to run the C preprocessor" >&5 +$as_echo_n "checking how to run the C preprocessor... " >&6; } +# On Suns, sometimes $CPP names a directory. +if test -n "$CPP" && test -d "$CPP"; then + CPP= +fi +if test -z "$CPP"; then + if test "${ac_cv_prog_CPP+set}" = set; then : + $as_echo_n "(cached) " >&6 +else + # Double quotes because CPP needs to be expanded + for CPP in "$CC -E" "$CC -E -traditional-cpp" "/lib/cpp" + do + ac_preproc_ok=false +for ac_c_preproc_warn_flag in '' yes +do + # Use a header file that comes with gcc, so configuring glibc + # with a fresh cross-compiler works. + # Prefer <limits.h> to <assert.h> if __STDC__ is defined, since + # <limits.h> exists even on freestanding compilers. + # On the NeXT, cc -E runs the code through the compiler's parser, + # not just through cpp. "Syntax error" is here to catch this case. + cat confdefs.h - <<_ACEOF >conftest.$ac_ext +/* end confdefs.h. */ +#ifdef __STDC__ +# include <limits.h> +#else +# include <assert.h> +#endif + Syntax error +_ACEOF +if ac_fn_c_try_cpp "$LINENO"; then : + +else + # Broken: fails on valid input. +continue +fi +rm -f conftest.err conftest.$ac_ext + + # OK, works on sane cases. Now check whether nonexistent headers + # can be detected and how. + cat confdefs.h - <<_ACEOF >conftest.$ac_ext +/* end confdefs.h. */ +#include <ac_nonexistent.h> +_ACEOF +if ac_fn_c_try_cpp "$LINENO"; then : + # Broken: success on invalid input. +continue +else + # Passes both tests. +ac_preproc_ok=: +break +fi +rm -f conftest.err conftest.$ac_ext + +done +# Because of `break', _AC_PREPROC_IFELSE's cleaning code was skipped. +rm -f conftest.err conftest.$ac_ext +if $ac_preproc_ok; then : + break +fi + + done + ac_cv_prog_CPP=$CPP + +fi + CPP=$ac_cv_prog_CPP +else + ac_cv_prog_CPP=$CPP +fi +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $CPP" >&5 +$as_echo "$CPP" >&6; } +ac_preproc_ok=false +for ac_c_preproc_warn_flag in '' yes +do + # Use a header file that comes with gcc, so configuring glibc + # with a fresh cross-compiler works. + # Prefer <limits.h> to <assert.h> if __STDC__ is defined, since + # <limits.h> exists even on freestanding compilers. + # On the NeXT, cc -E runs the code through the compiler's parser, + # not just through cpp. "Syntax error" is here to catch this case. + cat confdefs.h - <<_ACEOF >conftest.$ac_ext +/* end confdefs.h. */ +#ifdef __STDC__ +# include <limits.h> +#else +# include <assert.h> +#endif + Syntax error +_ACEOF +if ac_fn_c_try_cpp "$LINENO"; then : + +else + # Broken: fails on valid input. +continue +fi +rm -f conftest.err conftest.$ac_ext + + # OK, works on sane cases. Now check whether nonexistent headers + # can be detected and how. + cat confdefs.h - <<_ACEOF >conftest.$ac_ext +/* end confdefs.h. */ +#include <ac_nonexistent.h> +_ACEOF +if ac_fn_c_try_cpp "$LINENO"; then : + # Broken: success on invalid input. +continue +else + # Passes both tests. +ac_preproc_ok=: +break +fi +rm -f conftest.err conftest.$ac_ext + +done +# Because of `break', _AC_PREPROC_IFELSE's cleaning code was skipped. +rm -f conftest.err conftest.$ac_ext +if $ac_preproc_ok; then : + +else + { { $as_echo "$as_me:${as_lineno-$LINENO}: error: in \`$ac_pwd':" >&5 +$as_echo "$as_me: error: in \`$ac_pwd':" >&2;} +as_fn_error "C preprocessor \"$CPP\" fails sanity check +See \`config.log' for more details." "$LINENO" 5; } +fi + +ac_ext=c +ac_cpp='$CPP $CPPFLAGS' +ac_compile='$CC -c $CFLAGS $CPPFLAGS conftest.$ac_ext >&5' +ac_link='$CC -o conftest$ac_exeext $CFLAGS $CPPFLAGS $LDFLAGS conftest.$ac_ext $LIBS >&5' +ac_compiler_gnu=$ac_cv_c_compiler_gnu + + +# Calculate toolexeclibdir +# Also toolexecdir, though it's only used in toolexeclibdir +case ${version_specific_libs} in + yes) + # Need the gcc compiler version to know where to install libraries + # and header files if --enable-version-specific-runtime-libs option + # is selected. + toolexecdir='$(libdir)/gcc/$(target_alias)' + toolexeclibdir='$(toolexecdir)/$(gcc_version)$(MULTISUBDIR)' + ;; + no) + if test -n "$with_cross_host" && + test x"$with_cross_host" != x"no"; then + # Install a library built with a cross compiler in tooldir, not libdir. + toolexecdir='$(exec_prefix)/$(target_alias)' + toolexeclibdir='$(toolexecdir)/lib' + else + toolexecdir='$(libdir)/gcc-lib/$(target_alias)' + toolexeclibdir='$(libdir)' + fi + multi_os_directory=`$CC -print-multi-os-directory` + case $multi_os_directory in + .) ;; # Avoid trailing /. + *) toolexeclibdir=$toolexeclibdir/$multi_os_directory ;; + esac + ;; +esac + + + +for ac_header in fenv.h langinfo.h locale.h wchar.h wctype.h limits.h ctype.h printf.h errno.h +do : + as_ac_Header=`$as_echo "ac_cv_header_$ac_header" | $as_tr_sh` +ac_fn_c_check_header_mongrel "$LINENO" "$ac_header" "$as_ac_Header" "$ac_includes_default" +eval as_val=\$$as_ac_Header + if test "x$as_val" = x""yes; then : + cat >>confdefs.h <<_ACEOF +#define `$as_echo "HAVE_$ac_header" | $as_tr_cpp` 1 +_ACEOF + +fi + +done + + +# If available, sqrtl and cbrtl speed up the calculation - +# but they are not required +if test x$gcc_no_link != xyes; then + { $as_echo "$as_me:${as_lineno-$LINENO}: checking for sqrtl in -lm" >&5 +$as_echo_n "checking for sqrtl in -lm... " >&6; } +if test "${ac_cv_lib_m_sqrtl+set}" = set; then : + $as_echo_n "(cached) " >&6 +else + ac_check_lib_save_LIBS=$LIBS +LIBS="-lm $LIBS" +if test x$gcc_no_link = xyes; then + as_fn_error "Link tests are not allowed after GCC_NO_EXECUTABLES." "$LINENO" 5 +fi +cat confdefs.h - <<_ACEOF >conftest.$ac_ext +/* end confdefs.h. */ + +/* Override any GCC internal prototype to avoid an error. + Use char because int might match the return type of a GCC + builtin and then its argument prototype would still apply. */ +#ifdef __cplusplus +extern "C" +#endif +char sqrtl (); +int +main () +{ +return sqrtl (); + ; + return 0; +} +_ACEOF +if ac_fn_c_try_link "$LINENO"; then : + ac_cv_lib_m_sqrtl=yes +else + ac_cv_lib_m_sqrtl=no +fi +rm -f core conftest.err conftest.$ac_objext \ + conftest$ac_exeext conftest.$ac_ext +LIBS=$ac_check_lib_save_LIBS +fi +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $ac_cv_lib_m_sqrtl" >&5 +$as_echo "$ac_cv_lib_m_sqrtl" >&6; } +if test "x$ac_cv_lib_m_sqrtl" = x""yes; then : + +$as_echo "#define HAVE_SQRTL 1" >>confdefs.h + +fi + + { $as_echo "$as_me:${as_lineno-$LINENO}: checking for cbrtl in -lm" >&5 +$as_echo_n "checking for cbrtl in -lm... " >&6; } +if test "${ac_cv_lib_m_cbrtl+set}" = set; then : + $as_echo_n "(cached) " >&6 +else + ac_check_lib_save_LIBS=$LIBS +LIBS="-lm $LIBS" +if test x$gcc_no_link = xyes; then + as_fn_error "Link tests are not allowed after GCC_NO_EXECUTABLES." "$LINENO" 5 +fi +cat confdefs.h - <<_ACEOF >conftest.$ac_ext +/* end confdefs.h. */ + +/* Override any GCC internal prototype to avoid an error. + Use char because int might match the return type of a GCC + builtin and then its argument prototype would still apply. */ +#ifdef __cplusplus +extern "C" +#endif +char cbrtl (); +int +main () +{ +return cbrtl (); + ; + return 0; +} +_ACEOF +if ac_fn_c_try_link "$LINENO"; then : + ac_cv_lib_m_cbrtl=yes +else + ac_cv_lib_m_cbrtl=no +fi +rm -f core conftest.err conftest.$ac_objext \ + conftest$ac_exeext conftest.$ac_ext +LIBS=$ac_check_lib_save_LIBS +fi +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $ac_cv_lib_m_cbrtl" >&5 +$as_echo "$ac_cv_lib_m_cbrtl" >&6; } +if test "x$ac_cv_lib_m_cbrtl" = x""yes; then : + +$as_echo "#define HAVE_CBRTL 1" >>confdefs.h + +fi + + { $as_echo "$as_me:${as_lineno-$LINENO}: checking for feholdexcept in -lm" >&5 +$as_echo_n "checking for feholdexcept in -lm... " >&6; } +if test "${ac_cv_lib_m_feholdexcept+set}" = set; then : + $as_echo_n "(cached) " >&6 +else + ac_check_lib_save_LIBS=$LIBS +LIBS="-lm $LIBS" +if test x$gcc_no_link = xyes; then + as_fn_error "Link tests are not allowed after GCC_NO_EXECUTABLES." "$LINENO" 5 +fi +cat confdefs.h - <<_ACEOF >conftest.$ac_ext +/* end confdefs.h. */ + +/* Override any GCC internal prototype to avoid an error. + Use char because int might match the return type of a GCC + builtin and then its argument prototype would still apply. */ +#ifdef __cplusplus +extern "C" +#endif +char feholdexcept (); +int +main () +{ +return feholdexcept (); + ; + return 0; +} +_ACEOF +if ac_fn_c_try_link "$LINENO"; then : + ac_cv_lib_m_feholdexcept=yes +else + ac_cv_lib_m_feholdexcept=no +fi +rm -f core conftest.err conftest.$ac_objext \ + conftest$ac_exeext conftest.$ac_ext +LIBS=$ac_check_lib_save_LIBS +fi +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $ac_cv_lib_m_feholdexcept" >&5 +$as_echo "$ac_cv_lib_m_feholdexcept" >&6; } +if test "x$ac_cv_lib_m_feholdexcept" = x""yes; then : + +$as_echo "#define HAVE_FEHOLDEXCEPT 1" >>confdefs.h + +fi + + { $as_echo "$as_me:${as_lineno-$LINENO}: checking for fesetround in -lm" >&5 +$as_echo_n "checking for fesetround in -lm... " >&6; } +if test "${ac_cv_lib_m_fesetround+set}" = set; then : + $as_echo_n "(cached) " >&6 +else + ac_check_lib_save_LIBS=$LIBS +LIBS="-lm $LIBS" +if test x$gcc_no_link = xyes; then + as_fn_error "Link tests are not allowed after GCC_NO_EXECUTABLES." "$LINENO" 5 +fi +cat confdefs.h - <<_ACEOF >conftest.$ac_ext +/* end confdefs.h. */ + +/* Override any GCC internal prototype to avoid an error. + Use char because int might match the return type of a GCC + builtin and then its argument prototype would still apply. */ +#ifdef __cplusplus +extern "C" +#endif +char fesetround (); +int +main () +{ +return fesetround (); + ; + return 0; +} +_ACEOF +if ac_fn_c_try_link "$LINENO"; then : + ac_cv_lib_m_fesetround=yes +else + ac_cv_lib_m_fesetround=no +fi +rm -f core conftest.err conftest.$ac_objext \ + conftest$ac_exeext conftest.$ac_ext +LIBS=$ac_check_lib_save_LIBS +fi +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $ac_cv_lib_m_fesetround" >&5 +$as_echo "$ac_cv_lib_m_fesetround" >&6; } +if test "x$ac_cv_lib_m_fesetround" = x""yes; then : + +$as_echo "#define HAVE_FESETROUND 1" >>confdefs.h + +fi + + { $as_echo "$as_me:${as_lineno-$LINENO}: checking for feupdateenv in -lm" >&5 +$as_echo_n "checking for feupdateenv in -lm... " >&6; } +if test "${ac_cv_lib_m_feupdateenv+set}" = set; then : + $as_echo_n "(cached) " >&6 +else + ac_check_lib_save_LIBS=$LIBS +LIBS="-lm $LIBS" +if test x$gcc_no_link = xyes; then + as_fn_error "Link tests are not allowed after GCC_NO_EXECUTABLES." "$LINENO" 5 +fi +cat confdefs.h - <<_ACEOF >conftest.$ac_ext +/* end confdefs.h. */ + +/* Override any GCC internal prototype to avoid an error. + Use char because int might match the return type of a GCC + builtin and then its argument prototype would still apply. */ +#ifdef __cplusplus +extern "C" +#endif +char feupdateenv (); +int +main () +{ +return feupdateenv (); + ; + return 0; +} +_ACEOF +if ac_fn_c_try_link "$LINENO"; then : + ac_cv_lib_m_feupdateenv=yes +else + ac_cv_lib_m_feupdateenv=no +fi +rm -f core conftest.err conftest.$ac_objext \ + conftest$ac_exeext conftest.$ac_ext +LIBS=$ac_check_lib_save_LIBS +fi +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $ac_cv_lib_m_feupdateenv" >&5 +$as_echo "$ac_cv_lib_m_feupdateenv" >&6; } +if test "x$ac_cv_lib_m_feupdateenv" = x""yes; then : + +$as_echo "#define HAVE_FEUPDATEENV 1" >>confdefs.h + +fi + + { $as_echo "$as_me:${as_lineno-$LINENO}: checking for fesetenv in -lm" >&5 +$as_echo_n "checking for fesetenv in -lm... " >&6; } +if test "${ac_cv_lib_m_fesetenv+set}" = set; then : + $as_echo_n "(cached) " >&6 +else + ac_check_lib_save_LIBS=$LIBS +LIBS="-lm $LIBS" +if test x$gcc_no_link = xyes; then + as_fn_error "Link tests are not allowed after GCC_NO_EXECUTABLES." "$LINENO" 5 +fi +cat confdefs.h - <<_ACEOF >conftest.$ac_ext +/* end confdefs.h. */ + +/* Override any GCC internal prototype to avoid an error. + Use char because int might match the return type of a GCC + builtin and then its argument prototype would still apply. */ +#ifdef __cplusplus +extern "C" +#endif +char fesetenv (); +int +main () +{ +return fesetenv (); + ; + return 0; +} +_ACEOF +if ac_fn_c_try_link "$LINENO"; then : + ac_cv_lib_m_fesetenv=yes +else + ac_cv_lib_m_fesetenv=no +fi +rm -f core conftest.err conftest.$ac_objext \ + conftest$ac_exeext conftest.$ac_ext +LIBS=$ac_check_lib_save_LIBS +fi +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $ac_cv_lib_m_fesetenv" >&5 +$as_echo "$ac_cv_lib_m_fesetenv" >&6; } +if test "x$ac_cv_lib_m_fesetenv" = x""yes; then : + +$as_echo "#define HAVE_FESETENV 1" >>confdefs.h + +fi + + { $as_echo "$as_me:${as_lineno-$LINENO}: checking for fetestexcept in -lm" >&5 +$as_echo_n "checking for fetestexcept in -lm... " >&6; } +if test "${ac_cv_lib_m_fetestexcept+set}" = set; then : + $as_echo_n "(cached) " >&6 +else + ac_check_lib_save_LIBS=$LIBS +LIBS="-lm $LIBS" +if test x$gcc_no_link = xyes; then + as_fn_error "Link tests are not allowed after GCC_NO_EXECUTABLES." "$LINENO" 5 +fi +cat confdefs.h - <<_ACEOF >conftest.$ac_ext +/* end confdefs.h. */ + +/* Override any GCC internal prototype to avoid an error. + Use char because int might match the return type of a GCC + builtin and then its argument prototype would still apply. */ +#ifdef __cplusplus +extern "C" +#endif +char fetestexcept (); +int +main () +{ +return fetestexcept (); + ; + return 0; +} +_ACEOF +if ac_fn_c_try_link "$LINENO"; then : + ac_cv_lib_m_fetestexcept=yes +else + ac_cv_lib_m_fetestexcept=no +fi +rm -f core conftest.err conftest.$ac_objext \ + conftest$ac_exeext conftest.$ac_ext +LIBS=$ac_check_lib_save_LIBS +fi +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $ac_cv_lib_m_fetestexcept" >&5 +$as_echo "$ac_cv_lib_m_fetestexcept" >&6; } +if test "x$ac_cv_lib_m_fetestexcept" = x""yes; then : + +$as_echo "#define HAVE_FETESTEXCEPT 1" >>confdefs.h + +fi + + for ac_func in strtoull +do : + ac_fn_c_check_func "$LINENO" "strtoull" "ac_cv_func_strtoull" +if test "x$ac_cv_func_strtoull" = x""yes; then : + cat >>confdefs.h <<_ACEOF +#define HAVE_STRTOULL 1 +_ACEOF + +fi +done + +else + if test "x$ac_cv_lib_m_sqrtl" = x""yes; then + +$as_echo "#define HAVE_SQRTL 1" >>confdefs.h + + fi + if test "x$ac_cv_lib_m_cbrtl" = x""yes; then + +$as_echo "#define HAVE_CBRTL 1" >>confdefs.h + + fi + if test "x$ac_cv_lib_m_feholdexcept" = x""yes; then + +$as_echo "#define HAVE_FEHOLDEXCEPT 1" >>confdefs.h + + fi + if test "x$ac_cv_lib_m_fesetround" = x""yes; then + +$as_echo "#define HAVE_FESETROUND 1" >>confdefs.h + + fi + if test "x$ac_cv_lib_m_feupdateenv" = x""yes; then + +$as_echo "#define HAVE_FEUPDATEENV 1" >>confdefs.h + + fi + if test "x$ac_cv_lib_m_fesetenv" = x""yes; then + +$as_echo "#define HAVE_FESETENV 1" >>confdefs.h + + fi + if test "x$ac_cv_lib_m_fetestexcept" = x""yes; then + +$as_echo "#define HAVE_FETESTEXCEPT 1" >>confdefs.h + + fi +fi + +# Check for hidden visibility (copied from libssp). +saved_CFLAGS="$CFLAGS" +CFLAGS="$CFLAGS -Werror" +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking whether hidden visibility is supported" >&5 +$as_echo_n "checking whether hidden visibility is supported... " >&6; } +cat confdefs.h - <<_ACEOF >conftest.$ac_ext +/* end confdefs.h. */ + +void __attribute__((visibility ("hidden"))) bar (void) {} +int +main () +{ + + ; + return 0; +} +_ACEOF +if ac_fn_c_try_compile "$LINENO"; then : + quadmath_hidden=yes +else + quadmath_hidden=no +fi +rm -f core conftest.err conftest.$ac_objext conftest.$ac_ext +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $quadmath_hidden" >&5 +$as_echo "$quadmath_hidden" >&6; } +if test x$quadmath_hidden = xyes; then + +$as_echo "#define HAVE_HIDDEN_VISIBILITY 1" >>confdefs.h + +fi +CFLAGS="$saved_CFLAGS" + +# Check for symbol versioning (copied from libssp). +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking whether symbol versioning is supported" >&5 +$as_echo_n "checking whether symbol versioning is supported... " >&6; } +# Check whether --enable-symvers was given. +if test "${enable_symvers+set}" = set; then : + enableval=$enable_symvers; quadmath_use_symver=$enableval +else + quadmath_use_symver=yes +fi + +if test "x$quadmath_use_symver" = xyes; then + if test x$gcc_no_link = xyes; then + # If we cannot link, we cannot build shared libraries, so do not use + # symbol versioning. + quadmath_use_symver=no + else + save_LDFLAGS="$LDFLAGS" + LDFLAGS="$LDFLAGS -fPIC -shared -Wl,--version-script,./conftest.map" + cat > conftest.map <<EOF +FOO_1.0 { + global: *foo*; bar; local: *; +}; +EOF + if test x$gcc_no_link = xyes; then + as_fn_error "Link tests are not allowed after GCC_NO_EXECUTABLES." "$LINENO" 5 +fi +cat confdefs.h - <<_ACEOF >conftest.$ac_ext +/* end confdefs.h. */ +int foo; +int +main () +{ + + ; + return 0; +} +_ACEOF +if ac_fn_c_try_link "$LINENO"; then : + quadmath_use_symver=gnu +else + quadmath_use_symver=no +fi +rm -f core conftest.err conftest.$ac_objext \ + conftest$ac_exeext conftest.$ac_ext + if test x$quadmath_use_symver = xno; then + case "$target_os" in + solaris2*) + LDFLAGS="$save_LDFLAGS" + LDFLAGS="$LDFLAGS -fPIC -shared -Wl,-M,./conftest.map" + # Sun ld cannot handle wildcards and treats all entries as undefined. + cat > conftest.map <<EOF +FOO_1.0 { + global: foo; local: *; +}; +EOF + if test x$gcc_no_link = xyes; then + as_fn_error "Link tests are not allowed after GCC_NO_EXECUTABLES." "$LINENO" 5 +fi +cat confdefs.h - <<_ACEOF >conftest.$ac_ext +/* end confdefs.h. */ +int foo; +int +main () +{ + + ; + return 0; +} +_ACEOF +if ac_fn_c_try_link "$LINENO"; then : + quadmath_use_symver=sun +else + quadmath_use_symver=no +fi +rm -f core conftest.err conftest.$ac_objext \ + conftest$ac_exeext conftest.$ac_ext + ;; + esac + fi + LDFLAGS="$save_LDFLAGS" + fi +fi +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $quadmath_use_symver" >&5 +$as_echo "$quadmath_use_symver" >&6; } + if test "x$quadmath_use_symver" != xno; then + LIBQUAD_USE_SYMVER_TRUE= + LIBQUAD_USE_SYMVER_FALSE='#' +else + LIBQUAD_USE_SYMVER_TRUE='#' + LIBQUAD_USE_SYMVER_FALSE= +fi + + if test "x$quadmath_use_symver" = xgnu; then + LIBQUAD_USE_SYMVER_GNU_TRUE= + LIBQUAD_USE_SYMVER_GNU_FALSE='#' +else + LIBQUAD_USE_SYMVER_GNU_TRUE='#' + LIBQUAD_USE_SYMVER_GNU_FALSE= +fi + + if test "x$quadmath_use_symver" = xsun; then + LIBQUAD_USE_SYMVER_SUN_TRUE= + LIBQUAD_USE_SYMVER_SUN_FALSE='#' +else + LIBQUAD_USE_SYMVER_SUN_TRUE='#' + LIBQUAD_USE_SYMVER_SUN_FALSE= +fi + + +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking whether __float128 is supported" >&5 +$as_echo_n "checking whether __float128 is supported... " >&6; } +if test "${libquad_cv_have_float128+set}" = set; then : + $as_echo_n "(cached) " >&6 +else + if test x$gcc_no_link = xyes; then + cat confdefs.h - <<_ACEOF >conftest.$ac_ext +/* end confdefs.h. */ + + typedef _Complex float __attribute__((mode(TC))) __complex128; + + __float128 foo (__float128 x) + { + + __complex128 z1, z2; + + z1 = x; + z2 = x / 7.Q; + z2 /= z1; + + return (__float128) z2; + } + + __float128 bar (__float128 x) + { + return x * __builtin_huge_valq (); + } + +int +main () +{ + + foo (1.2Q); + bar (1.2Q); + + ; + return 0; +} +_ACEOF +if ac_fn_c_try_compile "$LINENO"; then : + + libquad_cv_have_float128=yes + +else + + libquad_cv_have_float128=no + +fi +rm -f core conftest.err conftest.$ac_objext conftest.$ac_ext +else + if test x$gcc_no_link = xyes; then + as_fn_error "Link tests are not allowed after GCC_NO_EXECUTABLES." "$LINENO" 5 +fi +cat confdefs.h - <<_ACEOF >conftest.$ac_ext +/* end confdefs.h. */ + + typedef _Complex float __attribute__((mode(TC))) __complex128; + + __float128 foo (__float128 x) + { + + __complex128 z1, z2; + + z1 = x; + z2 = x / 7.Q; + z2 /= z1; + + return (__float128) z2; + } + + __float128 bar (__float128 x) + { + return x * __builtin_huge_valq (); + } + +int +main () +{ + + foo (1.2Q); + bar (1.2Q); + + ; + return 0; +} +_ACEOF +if ac_fn_c_try_link "$LINENO"; then : + + libquad_cv_have_float128=yes + +else + + libquad_cv_have_float128=no + +fi +rm -f core conftest.err conftest.$ac_objext \ + conftest$ac_exeext conftest.$ac_ext +fi +fi +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $libquad_cv_have_float128" >&5 +$as_echo "$libquad_cv_have_float128" >&6; } + if test "x$libquad_cv_have_float128" = xyes; then + BUILD_LIBQUADMATH_TRUE= + BUILD_LIBQUADMATH_FALSE='#' +else + BUILD_LIBQUADMATH_TRUE='#' + BUILD_LIBQUADMATH_FALSE= +fi + + +# Check for printf hook support. +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking whether printf hooks are supported" >&5 +$as_echo_n "checking whether printf hooks are supported... " >&6; } +cat confdefs.h - <<_ACEOF >conftest.$ac_ext +/* end confdefs.h. */ + +#include <printf.h> +#include <stdarg.h> +#include <stdlib.h> +extern void flt128_va (void *, va_list *); +extern int flt128_ais (const struct printf_info *, size_t, int *, int *); +extern int flt128_printf_fp (FILE *, const struct printf_info *, const void *const *); + +int +main () +{ + +int pa_flt128 = register_printf_type (flt128_va); +int mod_Q = register_printf_modifier (L"Q"); +int res = register_printf_specifier ('f', flt128_printf_fp, flt128_ais); +struct printf_info info = { .user = -1 }; + + ; + return 0; +} +_ACEOF +if ac_fn_c_try_compile "$LINENO"; then : + quadmath_printf_hooks=yes +else + quadmath_printf_hooks=no +fi +rm -f core conftest.err conftest.$ac_objext conftest.$ac_ext +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $quadmath_printf_hooks" >&5 +$as_echo "$quadmath_printf_hooks" >&6; } +if test x$quadmath_printf_hooks = xyes; then + +$as_echo "#define HAVE_PRINTF_HOOKS 1" >>confdefs.h + +fi + +# Check for whether locale support for quadmath_snprintf or Q printf hooks +# should be provided. +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking whether nl_langinfo should be used" >&5 +$as_echo_n "checking whether nl_langinfo should be used... " >&6; } +cat confdefs.h - <<_ACEOF >conftest.$ac_ext +/* end confdefs.h. */ +#include <langinfo.h> +int +main () +{ + +const char *s; +s = nl_langinfo (DECIMAL_POINT); +s = nl_langinfo (MON_DECIMAL_POINT); +s = nl_langinfo (GROUPING); +s = nl_langinfo (MON_GROUPING); +s = nl_langinfo (THOUSANDS_SEP); +s = nl_langinfo (MON_THOUSANDS_SEP); +(void) s; + + ; + return 0; +} +_ACEOF +if ac_fn_c_try_compile "$LINENO"; then : + quadmath_use_nl_langinfo=yes +else + quadmath_use_nl_langinfo=no +fi +rm -f core conftest.err conftest.$ac_objext conftest.$ac_ext +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $quadmath_use_nl_langinfo" >&5 +$as_echo "$quadmath_use_nl_langinfo" >&6; } +if test x$quadmath_use_nl_langinfo = xyes; then + +$as_echo "#define USE_NL_LANGINFO 1" >>confdefs.h + +fi + +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking whether nl_langinfo should be used for wide char locale info" >&5 +$as_echo_n "checking whether nl_langinfo should be used for wide char locale info... " >&6; } +cat confdefs.h - <<_ACEOF >conftest.$ac_ext +/* end confdefs.h. */ +#include <langinfo.h> +int +main () +{ + +const char *s; +s = nl_langinfo (_NL_NUMERIC_DECIMAL_POINT_WC); +s = nl_langinfo (_NL_MONETARY_DECIMAL_POINT_WC); +s = nl_langinfo (_NL_NUMERIC_THOUSANDS_SEP_WC); +s = nl_langinfo (_NL_MONETARY_THOUSANDS_SEP_WC); +(void) s; + + ; + return 0; +} +_ACEOF +if ac_fn_c_try_compile "$LINENO"; then : + quadmath_use_nl_langinfo_wc=yes +else + quadmath_use_nl_langinfo_wc=no +fi +rm -f core conftest.err conftest.$ac_objext conftest.$ac_ext +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $quadmath_use_nl_langinfo_wc" >&5 +$as_echo "$quadmath_use_nl_langinfo_wc" >&6; } +if test x$quadmath_use_nl_langinfo_wc = xyes; then + +$as_echo "#define USE_NL_LANGINFO_WC 1" >>confdefs.h + +fi + +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking whether localeconv should be used" >&5 +$as_echo_n "checking whether localeconv should be used... " >&6; } +cat confdefs.h - <<_ACEOF >conftest.$ac_ext +/* end confdefs.h. */ +#include <locale.h> +int +main () +{ + +const struct lconv *l = localeconv (); +const char *s; +s = l->decimal_point; +s = l->mon_decimal_point; +s = l->grouping; +s = l->mon_grouping; +s = l->thousands_sep; +s = l->mon_thousands_sep; +(void) s; + + ; + return 0; +} +_ACEOF +if ac_fn_c_try_compile "$LINENO"; then : + quadmath_use_localeconv=yes +else + quadmath_use_localeconv=no +fi +rm -f core conftest.err conftest.$ac_objext conftest.$ac_ext +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $quadmath_use_localeconv" >&5 +$as_echo "$quadmath_use_localeconv" >&6; } +if test x$quadmath_use_localeconv = xyes; then + +$as_echo "#define USE_LOCALECONV 1" >>confdefs.h + +fi + +# Check for whether i18n number rewriting support for quadmath_snprintf +# or Q printf hooks should be provided. +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking whether i18n number rewriting support for quadmath_snprintf should be added" >&5 +$as_echo_n "checking whether i18n number rewriting support for quadmath_snprintf should be added... " >&6; } +cat confdefs.h - <<_ACEOF >conftest.$ac_ext +/* end confdefs.h. */ +#include <langinfo.h> +#include <limits.h> +#include <string.h> +#include <wchar.h> +#include <wctype.h> +int +main () +{ + +const char *s; +char decimal[MB_LEN_MAX]; +wctrans_t map = wctrans ("to_outpunct"); +wint_t wdecimal = towctrans (L'.', map); +mbstate_t state; +memset (&state, '\0', sizeof (state)); +wcrtomb (decimal, wdecimal, &state); +s = nl_langinfo (_NL_CTYPE_OUTDIGIT0_MB); +s = nl_langinfo (_NL_CTYPE_OUTDIGIT0_WC); +s = nl_langinfo (_NL_CTYPE_MB_CUR_MAX); +(void) s; + + ; + return 0; +} +_ACEOF +if ac_fn_c_try_compile "$LINENO"; then : + quadmath_use_i18n_number_h=yes +else + quadmath_use_i18n_number_h=no +fi +rm -f core conftest.err conftest.$ac_objext conftest.$ac_ext +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $quadmath_use_i18n_number_h" >&5 +$as_echo "$quadmath_use_i18n_number_h" >&6; } +if test x$quadmath_use_i18n_number_h = xyes; then + +$as_echo "#define USE_I18N_NUMBER_H 1" >>confdefs.h + +fi + +cat >confcache <<\_ACEOF +# This file is a shell script that caches the results of configure +# tests run on this system so they can be shared between configure +# scripts and configure runs, see configure's option --config-cache. +# It is not useful on other systems. If it contains results you don't +# want to keep, you may remove or edit it. +# +# config.status only pays attention to the cache file if you give it +# the --recheck option to rerun configure. +# +# `ac_cv_env_foo' variables (set or unset) will be overridden when +# loading this file, other *unset* `ac_cv_foo' will be assigned the +# following values. + +_ACEOF + +# The following way of writing the cache mishandles newlines in values, +# but we know of no workaround that is simple, portable, and efficient. +# So, we kill variables containing newlines. +# Ultrix sh set writes to stderr and can't be redirected directly, +# and sets the high bit in the cache file unless we assign to the vars. +( + for ac_var in `(set) 2>&1 | sed -n 's/^\([a-zA-Z_][a-zA-Z0-9_]*\)=.*/\1/p'`; do + eval ac_val=\$$ac_var + case $ac_val in #( + *${as_nl}*) + case $ac_var in #( + *_cv_*) { $as_echo "$as_me:${as_lineno-$LINENO}: WARNING: cache variable $ac_var contains a newline" >&5 +$as_echo "$as_me: WARNING: cache variable $ac_var contains a newline" >&2;} ;; + esac + case $ac_var in #( + _ | IFS | as_nl) ;; #( + BASH_ARGV | BASH_SOURCE) eval $ac_var= ;; #( + *) { eval $ac_var=; unset $ac_var;} ;; + esac ;; + esac + done + + (set) 2>&1 | + case $as_nl`(ac_space=' '; set) 2>&1` in #( + *${as_nl}ac_space=\ *) + # `set' does not quote correctly, so add quotes: double-quote + # substitution turns \\\\ into \\, and sed turns \\ into \. + sed -n \ + "s/'/'\\\\''/g; + s/^\\([_$as_cr_alnum]*_cv_[_$as_cr_alnum]*\\)=\\(.*\\)/\\1='\\2'/p" + ;; #( + *) + # `set' quotes correctly as required by POSIX, so do not add quotes. + sed -n "/^[_$as_cr_alnum]*_cv_[_$as_cr_alnum]*=/p" + ;; + esac | + sort +) | + sed ' + /^ac_cv_env_/b end + t clear + :clear + s/^\([^=]*\)=\(.*[{}].*\)$/test "${\1+set}" = set || &/ + t end + s/^\([^=]*\)=\(.*\)$/\1=${\1=\2}/ + :end' >>confcache +if diff "$cache_file" confcache >/dev/null 2>&1; then :; else + if test -w "$cache_file"; then + test "x$cache_file" != "x/dev/null" && + { $as_echo "$as_me:${as_lineno-$LINENO}: updating cache $cache_file" >&5 +$as_echo "$as_me: updating cache $cache_file" >&6;} + cat confcache >$cache_file + else + { $as_echo "$as_me:${as_lineno-$LINENO}: not updating unwritable cache $cache_file" >&5 +$as_echo "$as_me: not updating unwritable cache $cache_file" >&6;} + fi +fi +rm -f confcache + +if test ${multilib} = yes; then + multilib_arg="--enable-multilib" +else + multilib_arg= +fi + + +# We would like our source tree to be readonly. However when releases or +# pre-releases are generated, the flex/bison generated files as well as the +# various formats of manuals need to be included along with the rest of the +# sources. Therefore we have --enable-generated-files-in-srcdir to do +# just that. +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking generated-files-in-srcdir" >&5 +$as_echo_n "checking generated-files-in-srcdir... " >&6; } +# Check whether --enable-generated-files-in-srcdir was given. +if test "${enable_generated_files_in_srcdir+set}" = set; then : + enableval=$enable_generated_files_in_srcdir; case "$enableval" in + yes) enable_generated_files_in_srcdir=yes ;; + no) enable_generated_files_in_srcdir=no ;; + *) as_fn_error "Unknown argument to enable/disable version-specific libs" "$LINENO" 5;; + esac +else + enable_generated_files_in_srcdir=no +fi + +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $enable_generated_files_in_srcdir" >&5 +$as_echo "$enable_generated_files_in_srcdir" >&6; } + if test "$enable_generated_files_in_srcdir" = yes; then + GENINSRC_TRUE= + GENINSRC_FALSE='#' +else + GENINSRC_TRUE='#' + GENINSRC_FALSE= +fi + + + +ac_config_files="$ac_config_files Makefile" + +cat >confcache <<\_ACEOF +# This file is a shell script that caches the results of configure +# tests run on this system so they can be shared between configure +# scripts and configure runs, see configure's option --config-cache. +# It is not useful on other systems. If it contains results you don't +# want to keep, you may remove or edit it. +# +# config.status only pays attention to the cache file if you give it +# the --recheck option to rerun configure. +# +# `ac_cv_env_foo' variables (set or unset) will be overridden when +# loading this file, other *unset* `ac_cv_foo' will be assigned the +# following values. + +_ACEOF + +# The following way of writing the cache mishandles newlines in values, +# but we know of no workaround that is simple, portable, and efficient. +# So, we kill variables containing newlines. +# Ultrix sh set writes to stderr and can't be redirected directly, +# and sets the high bit in the cache file unless we assign to the vars. +( + for ac_var in `(set) 2>&1 | sed -n 's/^\([a-zA-Z_][a-zA-Z0-9_]*\)=.*/\1/p'`; do + eval ac_val=\$$ac_var + case $ac_val in #( + *${as_nl}*) + case $ac_var in #( + *_cv_*) { $as_echo "$as_me:${as_lineno-$LINENO}: WARNING: cache variable $ac_var contains a newline" >&5 +$as_echo "$as_me: WARNING: cache variable $ac_var contains a newline" >&2;} ;; + esac + case $ac_var in #( + _ | IFS | as_nl) ;; #( + BASH_ARGV | BASH_SOURCE) eval $ac_var= ;; #( + *) { eval $ac_var=; unset $ac_var;} ;; + esac ;; + esac + done + + (set) 2>&1 | + case $as_nl`(ac_space=' '; set) 2>&1` in #( + *${as_nl}ac_space=\ *) + # `set' does not quote correctly, so add quotes: double-quote + # substitution turns \\\\ into \\, and sed turns \\ into \. + sed -n \ + "s/'/'\\\\''/g; + s/^\\([_$as_cr_alnum]*_cv_[_$as_cr_alnum]*\\)=\\(.*\\)/\\1='\\2'/p" + ;; #( + *) + # `set' quotes correctly as required by POSIX, so do not add quotes. + sed -n "/^[_$as_cr_alnum]*_cv_[_$as_cr_alnum]*=/p" + ;; + esac | + sort +) | + sed ' + /^ac_cv_env_/b end + t clear + :clear + s/^\([^=]*\)=\(.*[{}].*\)$/test "${\1+set}" = set || &/ + t end + s/^\([^=]*\)=\(.*\)$/\1=${\1=\2}/ + :end' >>confcache +if diff "$cache_file" confcache >/dev/null 2>&1; then :; else + if test -w "$cache_file"; then + test "x$cache_file" != "x/dev/null" && + { $as_echo "$as_me:${as_lineno-$LINENO}: updating cache $cache_file" >&5 +$as_echo "$as_me: updating cache $cache_file" >&6;} + cat confcache >$cache_file + else + { $as_echo "$as_me:${as_lineno-$LINENO}: not updating unwritable cache $cache_file" >&5 +$as_echo "$as_me: not updating unwritable cache $cache_file" >&6;} + fi +fi +rm -f confcache + +test "x$prefix" = xNONE && prefix=$ac_default_prefix +# Let make expand exec_prefix. +test "x$exec_prefix" = xNONE && exec_prefix='${prefix}' + +DEFS=-DHAVE_CONFIG_H + +ac_libobjs= +ac_ltlibobjs= +for ac_i in : $LIBOBJS; do test "x$ac_i" = x: && continue + # 1. Remove the extension, and $U if already installed. + ac_script='s/\$U\././;s/\.o$//;s/\.obj$//' + ac_i=`$as_echo "$ac_i" | sed "$ac_script"` + # 2. Prepend LIBOBJDIR. When used with automake>=1.10 LIBOBJDIR + # will be set to the directory where LIBOBJS objects are built. + as_fn_append ac_libobjs " \${LIBOBJDIR}$ac_i\$U.$ac_objext" + as_fn_append ac_ltlibobjs " \${LIBOBJDIR}$ac_i"'$U.lo' +done +LIBOBJS=$ac_libobjs + +LTLIBOBJS=$ac_ltlibobjs + + + if test -n "$EXEEXT"; then + am__EXEEXT_TRUE= + am__EXEEXT_FALSE='#' +else + am__EXEEXT_TRUE='#' + am__EXEEXT_FALSE= +fi + +if test -z "${AMDEP_TRUE}" && test -z "${AMDEP_FALSE}"; then + as_fn_error "conditional \"AMDEP\" was never defined. +Usually this means the macro was only invoked conditionally." "$LINENO" 5 +fi +if test -z "${am__fastdepCC_TRUE}" && test -z "${am__fastdepCC_FALSE}"; then + as_fn_error "conditional \"am__fastdepCC\" was never defined. +Usually this means the macro was only invoked conditionally." "$LINENO" 5 +fi +if test -z "${BUILD_INFO_TRUE}" && test -z "${BUILD_INFO_FALSE}"; then + as_fn_error "conditional \"BUILD_INFO\" was never defined. +Usually this means the macro was only invoked conditionally." "$LINENO" 5 +fi +if test -z "${MAINTAINER_MODE_TRUE}" && test -z "${MAINTAINER_MODE_FALSE}"; then + as_fn_error "conditional \"MAINTAINER_MODE\" was never defined. +Usually this means the macro was only invoked conditionally." "$LINENO" 5 +fi +if test -z "${am__fastdepCC_TRUE}" && test -z "${am__fastdepCC_FALSE}"; then + as_fn_error "conditional \"am__fastdepCC\" was never defined. +Usually this means the macro was only invoked conditionally." "$LINENO" 5 +fi +if test -z "${LIBQUAD_USE_SYMVER_TRUE}" && test -z "${LIBQUAD_USE_SYMVER_FALSE}"; then + as_fn_error "conditional \"LIBQUAD_USE_SYMVER\" was never defined. +Usually this means the macro was only invoked conditionally." "$LINENO" 5 +fi +if test -z "${LIBQUAD_USE_SYMVER_GNU_TRUE}" && test -z "${LIBQUAD_USE_SYMVER_GNU_FALSE}"; then + as_fn_error "conditional \"LIBQUAD_USE_SYMVER_GNU\" was never defined. +Usually this means the macro was only invoked conditionally." "$LINENO" 5 +fi +if test -z "${LIBQUAD_USE_SYMVER_SUN_TRUE}" && test -z "${LIBQUAD_USE_SYMVER_SUN_FALSE}"; then + as_fn_error "conditional \"LIBQUAD_USE_SYMVER_SUN\" was never defined. +Usually this means the macro was only invoked conditionally." "$LINENO" 5 +fi +if test -z "${BUILD_LIBQUADMATH_TRUE}" && test -z "${BUILD_LIBQUADMATH_FALSE}"; then + as_fn_error "conditional \"BUILD_LIBQUADMATH\" was never defined. +Usually this means the macro was only invoked conditionally." "$LINENO" 5 +fi +if test -z "${GENINSRC_TRUE}" && test -z "${GENINSRC_FALSE}"; then + as_fn_error "conditional \"GENINSRC\" was never defined. +Usually this means the macro was only invoked conditionally." "$LINENO" 5 +fi + +: ${CONFIG_STATUS=./config.status} +ac_write_fail=0 +ac_clean_files_save=$ac_clean_files +ac_clean_files="$ac_clean_files $CONFIG_STATUS" +{ $as_echo "$as_me:${as_lineno-$LINENO}: creating $CONFIG_STATUS" >&5 +$as_echo "$as_me: creating $CONFIG_STATUS" >&6;} +as_write_fail=0 +cat >$CONFIG_STATUS <<_ASEOF || as_write_fail=1 +#! $SHELL +# Generated by $as_me. +# Run this file to recreate the current configuration. +# Compiler output produced by configure, useful for debugging +# configure, is in config.log if it exists. + +debug=false +ac_cs_recheck=false +ac_cs_silent=false + +SHELL=\${CONFIG_SHELL-$SHELL} +export SHELL +_ASEOF +cat >>$CONFIG_STATUS <<\_ASEOF || as_write_fail=1 +## -------------------- ## +## M4sh Initialization. ## +## -------------------- ## + +# Be more Bourne compatible +DUALCASE=1; export DUALCASE # for MKS sh +if test -n "${ZSH_VERSION+set}" && (emulate sh) >/dev/null 2>&1; then : + emulate sh + NULLCMD=: + # Pre-4.2 versions of Zsh do word splitting on ${1+"$@"}, which + # is contrary to our usage. Disable this feature. + alias -g '${1+"$@"}'='"$@"' + setopt NO_GLOB_SUBST +else + case `(set -o) 2>/dev/null` in #( + *posix*) : + set -o posix ;; #( + *) : + ;; +esac +fi + + +as_nl=' +' +export as_nl +# Printing a long string crashes Solaris 7 /usr/bin/printf. +as_echo='\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\' +as_echo=$as_echo$as_echo$as_echo$as_echo$as_echo +as_echo=$as_echo$as_echo$as_echo$as_echo$as_echo$as_echo +# Prefer a ksh shell builtin over an external printf program on Solaris, +# but without wasting forks for bash or zsh. +if test -z "$BASH_VERSION$ZSH_VERSION" \ + && (test "X`print -r -- $as_echo`" = "X$as_echo") 2>/dev/null; then + as_echo='print -r --' + as_echo_n='print -rn --' +elif (test "X`printf %s $as_echo`" = "X$as_echo") 2>/dev/null; then + as_echo='printf %s\n' + as_echo_n='printf %s' +else + if test "X`(/usr/ucb/echo -n -n $as_echo) 2>/dev/null`" = "X-n $as_echo"; then + as_echo_body='eval /usr/ucb/echo -n "$1$as_nl"' + as_echo_n='/usr/ucb/echo -n' + else + as_echo_body='eval expr "X$1" : "X\\(.*\\)"' + as_echo_n_body='eval + arg=$1; + case $arg in #( + *"$as_nl"*) + expr "X$arg" : "X\\(.*\\)$as_nl"; + arg=`expr "X$arg" : ".*$as_nl\\(.*\\)"`;; + esac; + expr "X$arg" : "X\\(.*\\)" | tr -d "$as_nl" + ' + export as_echo_n_body + as_echo_n='sh -c $as_echo_n_body as_echo' + fi + export as_echo_body + as_echo='sh -c $as_echo_body as_echo' +fi + +# The user is always right. +if test "${PATH_SEPARATOR+set}" != set; then + PATH_SEPARATOR=: + (PATH='/bin;/bin'; FPATH=$PATH; sh -c :) >/dev/null 2>&1 && { + (PATH='/bin:/bin'; FPATH=$PATH; sh -c :) >/dev/null 2>&1 || + PATH_SEPARATOR=';' + } +fi + + +# IFS +# We need space, tab and new line, in precisely that order. Quoting is +# there to prevent editors from complaining about space-tab. +# (If _AS_PATH_WALK were called with IFS unset, it would disable word +# splitting by setting IFS to empty value.) +IFS=" "" $as_nl" + +# Find who we are. Look in the path if we contain no directory separator. +case $0 in #(( + *[\\/]* ) as_myself=$0 ;; + *) as_save_IFS=$IFS; IFS=$PATH_SEPARATOR +for as_dir in $PATH +do + IFS=$as_save_IFS + test -z "$as_dir" && as_dir=. + test -r "$as_dir/$0" && as_myself=$as_dir/$0 && break + done +IFS=$as_save_IFS + + ;; +esac +# We did not find ourselves, most probably we were run as `sh COMMAND' +# in which case we are not to be found in the path. +if test "x$as_myself" = x; then + as_myself=$0 +fi +if test ! -f "$as_myself"; then + $as_echo "$as_myself: error: cannot find myself; rerun with an absolute file name" >&2 + exit 1 +fi + +# Unset variables that we do not need and which cause bugs (e.g. in +# pre-3.0 UWIN ksh). But do not cause bugs in bash 2.01; the "|| exit 1" +# suppresses any "Segmentation fault" message there. '((' could +# trigger a bug in pdksh 5.2.14. +for as_var in BASH_ENV ENV MAIL MAILPATH +do eval test x\${$as_var+set} = xset \ + && ( (unset $as_var) || exit 1) >/dev/null 2>&1 && unset $as_var || : +done +PS1='$ ' +PS2='> ' +PS4='+ ' + +# NLS nuisances. +LC_ALL=C +export LC_ALL +LANGUAGE=C +export LANGUAGE + +# CDPATH. +(unset CDPATH) >/dev/null 2>&1 && unset CDPATH + + +# as_fn_error ERROR [LINENO LOG_FD] +# --------------------------------- +# Output "`basename $0`: error: ERROR" to stderr. If LINENO and LOG_FD are +# provided, also output the error to LOG_FD, referencing LINENO. Then exit the +# script with status $?, using 1 if that was 0. +as_fn_error () +{ + as_status=$?; test $as_status -eq 0 && as_status=1 + if test "$3"; then + as_lineno=${as_lineno-"$2"} as_lineno_stack=as_lineno_stack=$as_lineno_stack + $as_echo "$as_me:${as_lineno-$LINENO}: error: $1" >&$3 + fi + $as_echo "$as_me: error: $1" >&2 + as_fn_exit $as_status +} # as_fn_error + + +# as_fn_set_status STATUS +# ----------------------- +# Set $? to STATUS, without forking. +as_fn_set_status () +{ + return $1 +} # as_fn_set_status + +# as_fn_exit STATUS +# ----------------- +# Exit the shell with STATUS, even in a "trap 0" or "set -e" context. +as_fn_exit () +{ + set +e + as_fn_set_status $1 + exit $1 +} # as_fn_exit + +# as_fn_unset VAR +# --------------- +# Portably unset VAR. +as_fn_unset () +{ + { eval $1=; unset $1;} +} +as_unset=as_fn_unset +# as_fn_append VAR VALUE +# ---------------------- +# Append the text in VALUE to the end of the definition contained in VAR. Take +# advantage of any shell optimizations that allow amortized linear growth over +# repeated appends, instead of the typical quadratic growth present in naive +# implementations. +if (eval "as_var=1; as_var+=2; test x\$as_var = x12") 2>/dev/null; then : + eval 'as_fn_append () + { + eval $1+=\$2 + }' +else + as_fn_append () + { + eval $1=\$$1\$2 + } +fi # as_fn_append + +# as_fn_arith ARG... +# ------------------ +# Perform arithmetic evaluation on the ARGs, and store the result in the +# global $as_val. Take advantage of shells that can avoid forks. The arguments +# must be portable across $(()) and expr. +if (eval "test \$(( 1 + 1 )) = 2") 2>/dev/null; then : + eval 'as_fn_arith () + { + as_val=$(( $* )) + }' +else + as_fn_arith () + { + as_val=`expr "$@" || test $? -eq 1` + } +fi # as_fn_arith + + +if expr a : '\(a\)' >/dev/null 2>&1 && + test "X`expr 00001 : '.*\(...\)'`" = X001; then + as_expr=expr +else + as_expr=false +fi + +if (basename -- /) >/dev/null 2>&1 && test "X`basename -- / 2>&1`" = "X/"; then + as_basename=basename +else + as_basename=false +fi + +if (as_dir=`dirname -- /` && test "X$as_dir" = X/) >/dev/null 2>&1; then + as_dirname=dirname +else + as_dirname=false +fi + +as_me=`$as_basename -- "$0" || +$as_expr X/"$0" : '.*/\([^/][^/]*\)/*$' \| \ + X"$0" : 'X\(//\)$' \| \ + X"$0" : 'X\(/\)' \| . 2>/dev/null || +$as_echo X/"$0" | + sed '/^.*\/\([^/][^/]*\)\/*$/{ + s//\1/ + q + } + /^X\/\(\/\/\)$/{ + s//\1/ + q + } + /^X\/\(\/\).*/{ + s//\1/ + q + } + s/.*/./; q'` + +# Avoid depending upon Character Ranges. +as_cr_letters='abcdefghijklmnopqrstuvwxyz' +as_cr_LETTERS='ABCDEFGHIJKLMNOPQRSTUVWXYZ' +as_cr_Letters=$as_cr_letters$as_cr_LETTERS +as_cr_digits='0123456789' +as_cr_alnum=$as_cr_Letters$as_cr_digits + +ECHO_C= ECHO_N= ECHO_T= +case `echo -n x` in #((((( +-n*) + case `echo 'xy\c'` in + *c*) ECHO_T=' ';; # ECHO_T is single tab character. + xy) ECHO_C='\c';; + *) echo `echo ksh88 bug on AIX 6.1` > /dev/null + ECHO_T=' ';; + esac;; +*) + ECHO_N='-n';; +esac + +rm -f conf$$ conf$$.exe conf$$.file +if test -d conf$$.dir; then + rm -f conf$$.dir/conf$$.file +else + rm -f conf$$.dir + mkdir conf$$.dir 2>/dev/null +fi +if (echo >conf$$.file) 2>/dev/null; then + if ln -s conf$$.file conf$$ 2>/dev/null; then + as_ln_s='ln -s' + # ... but there are two gotchas: + # 1) On MSYS, both `ln -s file dir' and `ln file dir' fail. + # 2) DJGPP < 2.04 has no symlinks; `ln -s' creates a wrapper executable. + # In both cases, we have to default to `cp -p'. + ln -s conf$$.file conf$$.dir 2>/dev/null && test ! -f conf$$.exe || + as_ln_s='cp -p' + elif ln conf$$.file conf$$ 2>/dev/null; then + as_ln_s=ln + else + as_ln_s='cp -p' + fi +else + as_ln_s='cp -p' +fi +rm -f conf$$ conf$$.exe conf$$.dir/conf$$.file conf$$.file +rmdir conf$$.dir 2>/dev/null + + +# as_fn_mkdir_p +# ------------- +# Create "$as_dir" as a directory, including parents if necessary. +as_fn_mkdir_p () +{ + + case $as_dir in #( + -*) as_dir=./$as_dir;; + esac + test -d "$as_dir" || eval $as_mkdir_p || { + as_dirs= + while :; do + case $as_dir in #( + *\'*) as_qdir=`$as_echo "$as_dir" | sed "s/'/'\\\\\\\\''/g"`;; #'( + *) as_qdir=$as_dir;; + esac + as_dirs="'$as_qdir' $as_dirs" + as_dir=`$as_dirname -- "$as_dir" || +$as_expr X"$as_dir" : 'X\(.*[^/]\)//*[^/][^/]*/*$' \| \ + X"$as_dir" : 'X\(//\)[^/]' \| \ + X"$as_dir" : 'X\(//\)$' \| \ + X"$as_dir" : 'X\(/\)' \| . 2>/dev/null || +$as_echo X"$as_dir" | + sed '/^X\(.*[^/]\)\/\/*[^/][^/]*\/*$/{ + s//\1/ + q + } + /^X\(\/\/\)[^/].*/{ + s//\1/ + q + } + /^X\(\/\/\)$/{ + s//\1/ + q + } + /^X\(\/\).*/{ + s//\1/ + q + } + s/.*/./; q'` + test -d "$as_dir" && break + done + test -z "$as_dirs" || eval "mkdir $as_dirs" + } || test -d "$as_dir" || as_fn_error "cannot create directory $as_dir" + + +} # as_fn_mkdir_p +if mkdir -p . 2>/dev/null; then + as_mkdir_p='mkdir -p "$as_dir"' +else + test -d ./-p && rmdir ./-p + as_mkdir_p=false +fi + +if test -x / >/dev/null 2>&1; then + as_test_x='test -x' +else + if ls -dL / >/dev/null 2>&1; then + as_ls_L_option=L + else + as_ls_L_option= + fi + as_test_x=' + eval sh -c '\'' + if test -d "$1"; then + test -d "$1/."; + else + case $1 in #( + -*)set "./$1";; + esac; + case `ls -ld'$as_ls_L_option' "$1" 2>/dev/null` in #(( + ???[sx]*):;;*)false;;esac;fi + '\'' sh + ' +fi +as_executable_p=$as_test_x + +# Sed expression to map a string onto a valid CPP name. +as_tr_cpp="eval sed 'y%*$as_cr_letters%P$as_cr_LETTERS%;s%[^_$as_cr_alnum]%_%g'" + +# Sed expression to map a string onto a valid variable name. +as_tr_sh="eval sed 'y%*+%pp%;s%[^_$as_cr_alnum]%_%g'" + + +exec 6>&1 +## ----------------------------------- ## +## Main body of $CONFIG_STATUS script. ## +## ----------------------------------- ## +_ASEOF +test $as_write_fail = 0 && chmod +x $CONFIG_STATUS || ac_write_fail=1 + +cat >>$CONFIG_STATUS <<\_ACEOF || ac_write_fail=1 +# Save the log message, to keep $0 and so on meaningful, and to +# report actual input values of CONFIG_FILES etc. instead of their +# values after options handling. +ac_log=" +This file was extended by GCC Quad-precision Math Library $as_me 0.1, which was +generated by GNU Autoconf 2.64. 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[TAG]... + + -h, --help print this help, then exit + -V, --version print version number and configuration settings, then exit + -q, --quiet, --silent + do not print progress messages + -d, --debug don't remove temporary files + --recheck update $as_me by reconfiguring in the same conditions + --file=FILE[:TEMPLATE] + instantiate the configuration file FILE + --header=FILE[:TEMPLATE] + instantiate the configuration header FILE + +Configuration files: +$config_files + +Configuration headers: +$config_headers + +Configuration commands: +$config_commands + +Report bugs to the package provider." + +_ACEOF +cat >>$CONFIG_STATUS <<_ACEOF || ac_write_fail=1 +ac_cs_version="\\ +GCC Quad-precision Math Library config.status 0.1 +configured by $0, generated by GNU Autoconf 2.64, + with options \\"`$as_echo "$ac_configure_args" | sed 's/^ //; s/[\\""\`\$]/\\\\&/g'`\\" + +Copyright (C) 2009 Free Software Foundation, Inc. +This config.status script is free software; the Free Software Foundation +gives unlimited permission to copy, distribute and modify it." + +ac_pwd='$ac_pwd' +srcdir='$srcdir' +INSTALL='$INSTALL' +MKDIR_P='$MKDIR_P' +AWK='$AWK' +test -n "\$AWK" || AWK=awk +_ACEOF + +cat >>$CONFIG_STATUS <<\_ACEOF || ac_write_fail=1 +# The default lists apply if the user does not specify any file. +ac_need_defaults=: +while test $# != 0 +do + case $1 in + --*=*) + ac_option=`expr "X$1" : 'X\([^=]*\)='` + ac_optarg=`expr "X$1" : 'X[^=]*=\(.*\)'` + ac_shift=: + ;; + *) + ac_option=$1 + ac_optarg=$2 + ac_shift=shift + ;; + esac + + case $ac_option in + # Handling of the options. + -recheck | --recheck | --rechec | --reche | --rech | --rec | --re | --r) + ac_cs_recheck=: ;; + --version | --versio | --versi | --vers | --ver | --ve | --v | -V ) + $as_echo "$ac_cs_version"; exit ;; + --debug | --debu | --deb | --de | --d | -d ) + debug=: ;; + --file | --fil | --fi | --f ) + $ac_shift + case $ac_optarg in + *\'*) ac_optarg=`$as_echo "$ac_optarg" | sed "s/'/'\\\\\\\\''/g"` ;; + esac + as_fn_append CONFIG_FILES " '$ac_optarg'" + ac_need_defaults=false;; + --header | --heade | --head | --hea ) + $ac_shift + case $ac_optarg in + *\'*) ac_optarg=`$as_echo "$ac_optarg" | sed "s/'/'\\\\\\\\''/g"` ;; + esac + as_fn_append CONFIG_HEADERS " '$ac_optarg'" + ac_need_defaults=false;; + --he | --h) + # Conflict between --help and --header + as_fn_error "ambiguous option: \`$1' +Try \`$0 --help' for more information.";; + --help | --hel | -h ) + $as_echo "$ac_cs_usage"; exit ;; + -q | -quiet | --quiet | --quie | --qui | --qu | --q \ + | -silent | --silent | --silen | --sile | --sil | --si | --s) + ac_cs_silent=: ;; + + # This is an error. + -*) as_fn_error "unrecognized option: \`$1' +Try \`$0 --help' for more information." ;; + + *) as_fn_append ac_config_targets " $1" + ac_need_defaults=false ;; + + esac + shift +done + +ac_configure_extra_args= + +if $ac_cs_silent; then + exec 6>/dev/null + ac_configure_extra_args="$ac_configure_extra_args --silent" +fi + +_ACEOF +cat 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"$deplibs_check_method" | $SED "$delay_single_quote_subst"`' +file_magic_cmd='`$ECHO "$file_magic_cmd" | $SED "$delay_single_quote_subst"`' +AR='`$ECHO "$AR" | $SED "$delay_single_quote_subst"`' +AR_FLAGS='`$ECHO "$AR_FLAGS" | $SED "$delay_single_quote_subst"`' +STRIP='`$ECHO "$STRIP" | $SED "$delay_single_quote_subst"`' +RANLIB='`$ECHO "$RANLIB" | $SED "$delay_single_quote_subst"`' +old_postinstall_cmds='`$ECHO "$old_postinstall_cmds" | $SED "$delay_single_quote_subst"`' +old_postuninstall_cmds='`$ECHO "$old_postuninstall_cmds" | $SED "$delay_single_quote_subst"`' +old_archive_cmds='`$ECHO "$old_archive_cmds" | $SED "$delay_single_quote_subst"`' +lock_old_archive_extraction='`$ECHO "$lock_old_archive_extraction" | $SED "$delay_single_quote_subst"`' +CC='`$ECHO "$CC" | $SED "$delay_single_quote_subst"`' +CFLAGS='`$ECHO "$CFLAGS" | $SED "$delay_single_quote_subst"`' +compiler='`$ECHO "$compiler" | $SED "$delay_single_quote_subst"`' +GCC='`$ECHO "$GCC" | $SED "$delay_single_quote_subst"`' +lt_cv_sys_global_symbol_pipe='`$ECHO "$lt_cv_sys_global_symbol_pipe" | $SED "$delay_single_quote_subst"`' +lt_cv_sys_global_symbol_to_cdecl='`$ECHO "$lt_cv_sys_global_symbol_to_cdecl" | $SED "$delay_single_quote_subst"`' +lt_cv_sys_global_symbol_to_c_name_address='`$ECHO "$lt_cv_sys_global_symbol_to_c_name_address" | $SED "$delay_single_quote_subst"`' +lt_cv_sys_global_symbol_to_c_name_address_lib_prefix='`$ECHO "$lt_cv_sys_global_symbol_to_c_name_address_lib_prefix" | $SED "$delay_single_quote_subst"`' +objdir='`$ECHO "$objdir" | $SED "$delay_single_quote_subst"`' +MAGIC_CMD='`$ECHO "$MAGIC_CMD" | $SED "$delay_single_quote_subst"`' +lt_prog_compiler_no_builtin_flag='`$ECHO "$lt_prog_compiler_no_builtin_flag" | $SED "$delay_single_quote_subst"`' +lt_prog_compiler_wl='`$ECHO "$lt_prog_compiler_wl" | $SED "$delay_single_quote_subst"`' +lt_prog_compiler_pic='`$ECHO "$lt_prog_compiler_pic" | $SED "$delay_single_quote_subst"`' +lt_prog_compiler_static='`$ECHO "$lt_prog_compiler_static" | $SED "$delay_single_quote_subst"`' +lt_cv_prog_compiler_c_o='`$ECHO "$lt_cv_prog_compiler_c_o" | $SED "$delay_single_quote_subst"`' +need_locks='`$ECHO "$need_locks" | $SED "$delay_single_quote_subst"`' +DSYMUTIL='`$ECHO "$DSYMUTIL" | $SED "$delay_single_quote_subst"`' +NMEDIT='`$ECHO "$NMEDIT" | $SED "$delay_single_quote_subst"`' +LIPO='`$ECHO "$LIPO" | $SED "$delay_single_quote_subst"`' +OTOOL='`$ECHO "$OTOOL" | $SED "$delay_single_quote_subst"`' +OTOOL64='`$ECHO "$OTOOL64" | $SED "$delay_single_quote_subst"`' +libext='`$ECHO "$libext" | $SED "$delay_single_quote_subst"`' +shrext_cmds='`$ECHO "$shrext_cmds" | $SED "$delay_single_quote_subst"`' +extract_expsyms_cmds='`$ECHO "$extract_expsyms_cmds" | $SED "$delay_single_quote_subst"`' +archive_cmds_need_lc='`$ECHO "$archive_cmds_need_lc" | $SED "$delay_single_quote_subst"`' +enable_shared_with_static_runtimes='`$ECHO "$enable_shared_with_static_runtimes" | $SED "$delay_single_quote_subst"`' +export_dynamic_flag_spec='`$ECHO "$export_dynamic_flag_spec" | $SED "$delay_single_quote_subst"`' +whole_archive_flag_spec='`$ECHO "$whole_archive_flag_spec" | $SED "$delay_single_quote_subst"`' +compiler_needs_object='`$ECHO "$compiler_needs_object" | $SED "$delay_single_quote_subst"`' +old_archive_from_new_cmds='`$ECHO "$old_archive_from_new_cmds" | $SED "$delay_single_quote_subst"`' +old_archive_from_expsyms_cmds='`$ECHO "$old_archive_from_expsyms_cmds" | $SED "$delay_single_quote_subst"`' +archive_cmds='`$ECHO "$archive_cmds" | $SED "$delay_single_quote_subst"`' +archive_expsym_cmds='`$ECHO "$archive_expsym_cmds" | $SED "$delay_single_quote_subst"`' +module_cmds='`$ECHO "$module_cmds" | $SED "$delay_single_quote_subst"`' +module_expsym_cmds='`$ECHO "$module_expsym_cmds" | $SED "$delay_single_quote_subst"`' +with_gnu_ld='`$ECHO "$with_gnu_ld" | $SED "$delay_single_quote_subst"`' +allow_undefined_flag='`$ECHO "$allow_undefined_flag" | $SED "$delay_single_quote_subst"`' +no_undefined_flag='`$ECHO "$no_undefined_flag" | $SED "$delay_single_quote_subst"`' +hardcode_libdir_flag_spec='`$ECHO "$hardcode_libdir_flag_spec" | $SED "$delay_single_quote_subst"`' +hardcode_libdir_flag_spec_ld='`$ECHO "$hardcode_libdir_flag_spec_ld" | $SED "$delay_single_quote_subst"`' +hardcode_libdir_separator='`$ECHO "$hardcode_libdir_separator" | $SED "$delay_single_quote_subst"`' +hardcode_direct='`$ECHO "$hardcode_direct" | $SED "$delay_single_quote_subst"`' +hardcode_direct_absolute='`$ECHO "$hardcode_direct_absolute" | $SED "$delay_single_quote_subst"`' +hardcode_minus_L='`$ECHO "$hardcode_minus_L" | $SED "$delay_single_quote_subst"`' +hardcode_shlibpath_var='`$ECHO "$hardcode_shlibpath_var" | $SED "$delay_single_quote_subst"`' +hardcode_automatic='`$ECHO "$hardcode_automatic" | $SED "$delay_single_quote_subst"`' +inherit_rpath='`$ECHO "$inherit_rpath" | $SED "$delay_single_quote_subst"`' +link_all_deplibs='`$ECHO "$link_all_deplibs" | $SED "$delay_single_quote_subst"`' +fix_srcfile_path='`$ECHO "$fix_srcfile_path" | $SED "$delay_single_quote_subst"`' +always_export_symbols='`$ECHO "$always_export_symbols" | $SED "$delay_single_quote_subst"`' +export_symbols_cmds='`$ECHO "$export_symbols_cmds" | $SED "$delay_single_quote_subst"`' +exclude_expsyms='`$ECHO "$exclude_expsyms" | $SED "$delay_single_quote_subst"`' +include_expsyms='`$ECHO "$include_expsyms" | $SED "$delay_single_quote_subst"`' +prelink_cmds='`$ECHO "$prelink_cmds" | $SED "$delay_single_quote_subst"`' +file_list_spec='`$ECHO "$file_list_spec" | $SED "$delay_single_quote_subst"`' +variables_saved_for_relink='`$ECHO "$variables_saved_for_relink" | $SED "$delay_single_quote_subst"`' +need_lib_prefix='`$ECHO "$need_lib_prefix" | $SED "$delay_single_quote_subst"`' +need_version='`$ECHO "$need_version" | $SED "$delay_single_quote_subst"`' +version_type='`$ECHO "$version_type" | $SED "$delay_single_quote_subst"`' +runpath_var='`$ECHO "$runpath_var" | $SED "$delay_single_quote_subst"`' +shlibpath_var='`$ECHO "$shlibpath_var" | $SED "$delay_single_quote_subst"`' +shlibpath_overrides_runpath='`$ECHO "$shlibpath_overrides_runpath" | $SED "$delay_single_quote_subst"`' +libname_spec='`$ECHO "$libname_spec" | $SED "$delay_single_quote_subst"`' +library_names_spec='`$ECHO "$library_names_spec" | $SED "$delay_single_quote_subst"`' +soname_spec='`$ECHO "$soname_spec" | $SED "$delay_single_quote_subst"`' +install_override_mode='`$ECHO "$install_override_mode" | $SED "$delay_single_quote_subst"`' +postinstall_cmds='`$ECHO "$postinstall_cmds" | $SED "$delay_single_quote_subst"`' +postuninstall_cmds='`$ECHO "$postuninstall_cmds" | $SED "$delay_single_quote_subst"`' +finish_cmds='`$ECHO "$finish_cmds" | $SED "$delay_single_quote_subst"`' +finish_eval='`$ECHO "$finish_eval" | $SED "$delay_single_quote_subst"`' +hardcode_into_libs='`$ECHO "$hardcode_into_libs" | $SED "$delay_single_quote_subst"`' +sys_lib_search_path_spec='`$ECHO "$sys_lib_search_path_spec" | $SED "$delay_single_quote_subst"`' +sys_lib_dlsearch_path_spec='`$ECHO "$sys_lib_dlsearch_path_spec" | $SED "$delay_single_quote_subst"`' +hardcode_action='`$ECHO "$hardcode_action" | $SED "$delay_single_quote_subst"`' +enable_dlopen='`$ECHO "$enable_dlopen" | $SED "$delay_single_quote_subst"`' +enable_dlopen_self='`$ECHO "$enable_dlopen_self" | $SED "$delay_single_quote_subst"`' +enable_dlopen_self_static='`$ECHO "$enable_dlopen_self_static" | $SED "$delay_single_quote_subst"`' +old_striplib='`$ECHO "$old_striplib" | $SED "$delay_single_quote_subst"`' +striplib='`$ECHO "$striplib" | $SED "$delay_single_quote_subst"`' + +LTCC='$LTCC' +LTCFLAGS='$LTCFLAGS' +compiler='$compiler_DEFAULT' + +# A function that is used when there is no print builtin or printf. +func_fallback_echo () +{ + eval 'cat <<_LTECHO_EOF +\$1 +_LTECHO_EOF' +} + +# Quote evaled strings. +for var in SHELL \ +ECHO \ +SED \ +GREP \ +EGREP \ +FGREP \ +LD \ +NM \ +LN_S \ +lt_SP2NL \ +lt_NL2SP \ +reload_flag \ +OBJDUMP \ +deplibs_check_method \ +file_magic_cmd \ +AR \ +AR_FLAGS \ +STRIP \ +RANLIB \ +CC \ +CFLAGS \ +compiler \ +lt_cv_sys_global_symbol_pipe \ +lt_cv_sys_global_symbol_to_cdecl \ +lt_cv_sys_global_symbol_to_c_name_address \ +lt_cv_sys_global_symbol_to_c_name_address_lib_prefix \ +lt_prog_compiler_no_builtin_flag \ +lt_prog_compiler_wl \ +lt_prog_compiler_pic \ +lt_prog_compiler_static \ +lt_cv_prog_compiler_c_o \ +need_locks \ +DSYMUTIL \ +NMEDIT \ +LIPO \ +OTOOL \ +OTOOL64 \ +shrext_cmds \ +export_dynamic_flag_spec \ +whole_archive_flag_spec \ +compiler_needs_object \ +with_gnu_ld \ +allow_undefined_flag \ +no_undefined_flag \ +hardcode_libdir_flag_spec \ +hardcode_libdir_flag_spec_ld \ +hardcode_libdir_separator \ +fix_srcfile_path \ +exclude_expsyms \ +include_expsyms \ +file_list_spec \ +variables_saved_for_relink \ +libname_spec \ +library_names_spec \ +soname_spec \ +install_override_mode \ +finish_eval \ +old_striplib \ +striplib; do + case \`eval \\\\\$ECHO \\\\""\\\\\$\$var"\\\\"\` in + *[\\\\\\\`\\"\\\$]*) + eval "lt_\$var=\\\\\\"\\\`\\\$ECHO \\"\\\$\$var\\" | \\\$SED \\"\\\$sed_quote_subst\\"\\\`\\\\\\"" + ;; + *) + eval "lt_\$var=\\\\\\"\\\$\$var\\\\\\"" + ;; + esac +done + +# Double-quote double-evaled strings. +for var in reload_cmds \ +old_postinstall_cmds \ +old_postuninstall_cmds \ +old_archive_cmds \ +extract_expsyms_cmds \ +old_archive_from_new_cmds \ +old_archive_from_expsyms_cmds \ +archive_cmds \ +archive_expsym_cmds \ +module_cmds \ +module_expsym_cmds \ +export_symbols_cmds \ +prelink_cmds \ +postinstall_cmds \ +postuninstall_cmds \ +finish_cmds \ +sys_lib_search_path_spec \ +sys_lib_dlsearch_path_spec; do + case \`eval \\\\\$ECHO \\\\""\\\\\$\$var"\\\\"\` in + *[\\\\\\\`\\"\\\$]*) + eval "lt_\$var=\\\\\\"\\\`\\\$ECHO \\"\\\$\$var\\" | \\\$SED -e \\"\\\$double_quote_subst\\" -e \\"\\\$sed_quote_subst\\" -e \\"\\\$delay_variable_subst\\"\\\`\\\\\\"" + ;; + *) + eval "lt_\$var=\\\\\\"\\\$\$var\\\\\\"" + ;; + esac +done + +ac_aux_dir='$ac_aux_dir' +xsi_shell='$xsi_shell' +lt_shell_append='$lt_shell_append' + +# See if we are running on zsh, and set the options which allow our +# commands through without removal of \ escapes INIT. +if test -n "\${ZSH_VERSION+set}" ; then + setopt NO_GLOB_SUBST +fi + + + PACKAGE='$PACKAGE' + VERSION='$VERSION' + TIMESTAMP='$TIMESTAMP' + RM='$RM' + ofile='$ofile' + + + + +srcdir="$srcdir" +host="$host" +target="$target" +with_multisubdir="$with_multisubdir" +with_multisrctop="$with_multisrctop" +with_target_subdir="$with_target_subdir" +ac_configure_args="${multilib_arg} ${ac_configure_args}" +multi_basedir="$multi_basedir" +CONFIG_SHELL=${CONFIG_SHELL-/bin/sh} +CC="$CC" +CXX="$CXX" +GFORTRAN="$GFORTRAN" +GCJ="$GCJ" + +_ACEOF + +cat >>$CONFIG_STATUS <<\_ACEOF || ac_write_fail=1 + +# Handling of arguments. +for ac_config_target in $ac_config_targets +do + case $ac_config_target in + "config.h") CONFIG_HEADERS="$CONFIG_HEADERS config.h" ;; + "depfiles") CONFIG_COMMANDS="$CONFIG_COMMANDS depfiles" ;; + "libtool") CONFIG_COMMANDS="$CONFIG_COMMANDS libtool" ;; + "default-1") CONFIG_COMMANDS="$CONFIG_COMMANDS default-1" ;; + "Makefile") CONFIG_FILES="$CONFIG_FILES Makefile" ;; + + *) as_fn_error "invalid argument: \`$ac_config_target'" "$LINENO" 5;; + esac +done + + +# If the user did not use the arguments to specify the items to instantiate, +# then the envvar interface is used. Set only those that are not. +# We use the long form for the default assignment because of an extremely +# bizarre bug on SunOS 4.1.3. +if $ac_need_defaults; then + test "${CONFIG_FILES+set}" = set || CONFIG_FILES=$config_files + test "${CONFIG_HEADERS+set}" = set || CONFIG_HEADERS=$config_headers + test "${CONFIG_COMMANDS+set}" = set || CONFIG_COMMANDS=$config_commands +fi + +# Have a temporary directory for convenience. Make it in the build tree +# simply because there is no reason against having it here, and in addition, +# creating and moving files from /tmp can sometimes cause problems. +# Hook for its removal unless debugging. +# Note that there is a small window in which the directory will not be cleaned: +# after its creation but before its name has been assigned to `$tmp'. +$debug || +{ + tmp= + trap 'exit_status=$? + { test -z "$tmp" || test ! -d "$tmp" || rm -fr "$tmp"; } && exit $exit_status +' 0 + trap 'as_fn_exit 1' 1 2 13 15 +} +# Create a (secure) tmp directory for tmp files. + +{ + tmp=`(umask 077 && mktemp -d "./confXXXXXX") 2>/dev/null` && + test -n "$tmp" && test -d "$tmp" +} || +{ + tmp=./conf$$-$RANDOM + (umask 077 && mkdir "$tmp") +} || as_fn_error "cannot create a temporary directory in ." "$LINENO" 5 + +# Set up the scripts for CONFIG_FILES section. +# No need to generate them if there are no CONFIG_FILES. +# This happens for instance with `./config.status config.h'. +if test -n "$CONFIG_FILES"; then + + +ac_cr=`echo X | tr X '\015'` +# On cygwin, bash can eat \r inside `` if the user requested igncr. +# But we know of no other shell where ac_cr would be empty at this +# point, so we can use a bashism as a fallback. +if test "x$ac_cr" = x; then + eval ac_cr=\$\'\\r\' +fi +ac_cs_awk_cr=`$AWK 'BEGIN { print "a\rb" }' </dev/null 2>/dev/null` +if test "$ac_cs_awk_cr" = "a${ac_cr}b"; then + ac_cs_awk_cr='\r' +else + ac_cs_awk_cr=$ac_cr +fi + +echo 'BEGIN {' >"$tmp/subs1.awk" && +_ACEOF + + +{ + echo "cat >conf$$subs.awk <<_ACEOF" && + echo "$ac_subst_vars" | sed 's/.*/&!$&$ac_delim/' && + echo "_ACEOF" +} >conf$$subs.sh || + as_fn_error "could not make $CONFIG_STATUS" "$LINENO" 5 +ac_delim_num=`echo "$ac_subst_vars" | grep -c '$'` +ac_delim='%!_!# ' +for ac_last_try in false false false false false :; do + . ./conf$$subs.sh || + as_fn_error "could not make $CONFIG_STATUS" "$LINENO" 5 + + ac_delim_n=`sed -n "s/.*$ac_delim\$/X/p" conf$$subs.awk | grep -c X` + if test $ac_delim_n = $ac_delim_num; then + break + elif $ac_last_try; then + as_fn_error "could not make $CONFIG_STATUS" "$LINENO" 5 + else + ac_delim="$ac_delim!$ac_delim _$ac_delim!! " + fi +done +rm -f conf$$subs.sh + +cat >>$CONFIG_STATUS <<_ACEOF || ac_write_fail=1 +cat >>"\$tmp/subs1.awk" <<\\_ACAWK && +_ACEOF +sed -n ' +h +s/^/S["/; s/!.*/"]=/ +p +g +s/^[^!]*!// +:repl +t repl +s/'"$ac_delim"'$// +t delim +:nl +h +s/\(.\{148\}\).*/\1/ +t more1 +s/["\\]/\\&/g; s/^/"/; s/$/\\n"\\/ +p +n +b repl +:more1 +s/["\\]/\\&/g; s/^/"/; s/$/"\\/ +p +g +s/.\{148\}// +t nl +:delim +h +s/\(.\{148\}\).*/\1/ +t more2 +s/["\\]/\\&/g; s/^/"/; s/$/"/ +p +b +:more2 +s/["\\]/\\&/g; s/^/"/; s/$/"\\/ +p +g +s/.\{148\}// +t delim +' <conf$$subs.awk | sed ' +/^[^""]/{ + N + s/\n// +} +' >>$CONFIG_STATUS || ac_write_fail=1 +rm -f conf$$subs.awk +cat >>$CONFIG_STATUS <<_ACEOF || ac_write_fail=1 +_ACAWK +cat >>"\$tmp/subs1.awk" <<_ACAWK && + for (key in S) S_is_set[key] = 1 + FS = "" + +} +{ + line = $ 0 + nfields = split(line, field, "@") + substed = 0 + len = length(field[1]) + for (i = 2; i < nfields; i++) { + key = field[i] + keylen = length(key) + if (S_is_set[key]) { + value = S[key] + line = substr(line, 1, len) "" value "" substr(line, len + keylen + 3) + len += length(value) + length(field[++i]) + substed = 1 + } else + len += 1 + keylen + } + + print line +} + +_ACAWK +_ACEOF +cat >>$CONFIG_STATUS <<\_ACEOF || ac_write_fail=1 +if sed "s/$ac_cr//" < /dev/null > /dev/null 2>&1; then + sed "s/$ac_cr\$//; s/$ac_cr/$ac_cs_awk_cr/g" +else + cat +fi < "$tmp/subs1.awk" > "$tmp/subs.awk" \ + || as_fn_error "could not setup config files machinery" "$LINENO" 5 +_ACEOF + +# VPATH may cause trouble with some makes, so we remove $(srcdir), +# ${srcdir} and @srcdir@ from VPATH if srcdir is ".", strip leading and +# trailing colons and then remove the whole line if VPATH becomes empty +# (actually we leave an empty line to preserve line numbers). +if test "x$srcdir" = x.; then + ac_vpsub='/^[ ]*VPATH[ ]*=/{ +s/:*\$(srcdir):*/:/ +s/:*\${srcdir}:*/:/ +s/:*@srcdir@:*/:/ +s/^\([^=]*=[ ]*\):*/\1/ +s/:*$// +s/^[^=]*=[ ]*$// +}' +fi + +cat >>$CONFIG_STATUS <<\_ACEOF || ac_write_fail=1 +fi # test -n "$CONFIG_FILES" + +# Set up the scripts for CONFIG_HEADERS section. +# No need to generate them if there are no CONFIG_HEADERS. +# This happens for instance with `./config.status Makefile'. +if test -n "$CONFIG_HEADERS"; then +cat >"$tmp/defines.awk" <<\_ACAWK || +BEGIN { +_ACEOF + +# Transform confdefs.h into an awk script `defines.awk', embedded as +# here-document in config.status, that substitutes the proper values into +# config.h.in to produce config.h. + +# Create a delimiter string that does not exist in confdefs.h, to ease +# handling of long lines. +ac_delim='%!_!# ' +for ac_last_try in false false :; do + ac_t=`sed -n "/$ac_delim/p" confdefs.h` + if test -z "$ac_t"; then + break + elif $ac_last_try; then + as_fn_error "could not make $CONFIG_HEADERS" "$LINENO" 5 + else + ac_delim="$ac_delim!$ac_delim _$ac_delim!! " + fi +done + +# For the awk script, D is an array of macro values keyed by name, +# likewise P contains macro parameters if any. Preserve backslash +# newline sequences. + +ac_word_re=[_$as_cr_Letters][_$as_cr_alnum]* +sed -n ' +s/.\{148\}/&'"$ac_delim"'/g +t rset +:rset +s/^[ ]*#[ ]*define[ ][ ]*/ / +t def +d +:def +s/\\$// +t bsnl +s/["\\]/\\&/g +s/^ \('"$ac_word_re"'\)\(([^()]*)\)[ ]*\(.*\)/P["\1"]="\2"\ +D["\1"]=" \3"/p +s/^ \('"$ac_word_re"'\)[ ]*\(.*\)/D["\1"]=" \2"/p +d +:bsnl +s/["\\]/\\&/g +s/^ \('"$ac_word_re"'\)\(([^()]*)\)[ ]*\(.*\)/P["\1"]="\2"\ +D["\1"]=" \3\\\\\\n"\\/p +t cont +s/^ \('"$ac_word_re"'\)[ ]*\(.*\)/D["\1"]=" \2\\\\\\n"\\/p +t cont +d +:cont +n +s/.\{148\}/&'"$ac_delim"'/g +t clear +:clear +s/\\$// +t bsnlc +s/["\\]/\\&/g; s/^/"/; s/$/"/p +d +:bsnlc +s/["\\]/\\&/g; s/^/"/; s/$/\\\\\\n"\\/p +b cont +' <confdefs.h | sed ' +s/'"$ac_delim"'/"\\\ +"/g' >>$CONFIG_STATUS || ac_write_fail=1 + +cat >>$CONFIG_STATUS <<_ACEOF || ac_write_fail=1 + for (key in D) D_is_set[key] = 1 + FS = "" +} +/^[\t ]*#[\t ]*(define|undef)[\t ]+$ac_word_re([\t (]|\$)/ { + line = \$ 0 + split(line, arg, " ") + if (arg[1] == "#") { + defundef = arg[2] + mac1 = arg[3] + } else { + defundef = substr(arg[1], 2) + mac1 = arg[2] + } + split(mac1, mac2, "(") #) + macro = mac2[1] + prefix = substr(line, 1, index(line, defundef) - 1) + if (D_is_set[macro]) { + # Preserve the white space surrounding the "#". + print prefix "define", macro P[macro] D[macro] + next + } else { + # Replace #undef with comments. This is necessary, for example, + # in the case of _POSIX_SOURCE, which is predefined and required + # on some systems where configure will not decide to define it. + if (defundef == "undef") { + print "/*", prefix defundef, macro, "*/" + next + } + } +} +{ print } +_ACAWK +_ACEOF +cat >>$CONFIG_STATUS <<\_ACEOF || ac_write_fail=1 + as_fn_error "could not setup config headers machinery" "$LINENO" 5 +fi # test -n "$CONFIG_HEADERS" + + +eval set X " :F $CONFIG_FILES :H $CONFIG_HEADERS :C $CONFIG_COMMANDS" +shift +for ac_tag +do + case $ac_tag in + :[FHLC]) ac_mode=$ac_tag; continue;; + esac + case $ac_mode$ac_tag in + :[FHL]*:*);; + :L* | :C*:*) as_fn_error "invalid tag \`$ac_tag'" "$LINENO" 5;; + :[FH]-) ac_tag=-:-;; + :[FH]*) ac_tag=$ac_tag:$ac_tag.in;; + esac + ac_save_IFS=$IFS + IFS=: + set x $ac_tag + IFS=$ac_save_IFS + shift + ac_file=$1 + shift + + case $ac_mode in + :L) ac_source=$1;; + :[FH]) + ac_file_inputs= + for ac_f + do + case $ac_f in + -) ac_f="$tmp/stdin";; + *) # Look for the file first in the build tree, then in the source tree + # (if the path is not absolute). The absolute path cannot be DOS-style, + # because $ac_f cannot contain `:'. + test -f "$ac_f" || + case $ac_f in + [\\/$]*) false;; + *) test -f "$srcdir/$ac_f" && ac_f="$srcdir/$ac_f";; + esac || + as_fn_error "cannot find input file: \`$ac_f'" "$LINENO" 5;; + esac + case $ac_f in *\'*) ac_f=`$as_echo "$ac_f" | sed "s/'/'\\\\\\\\''/g"`;; esac + as_fn_append ac_file_inputs " '$ac_f'" + done + + # Let's still pretend it is `configure' which instantiates (i.e., don't + # use $as_me), people would be surprised to read: + # /* config.h. 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If not, a copy +# can be downloaded from http://www.gnu.org/licenses/gpl.html, or +# obtained by writing to the Free Software Foundation, Inc., +# 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301, USA. + + +# The names of the tagged configurations supported by this script. +available_tags="" + +# ### BEGIN LIBTOOL CONFIG + +# Which release of libtool.m4 was used? +macro_version=$macro_version +macro_revision=$macro_revision + +# Whether or not to build shared libraries. +build_libtool_libs=$enable_shared + +# Whether or not to build static libraries. +build_old_libs=$enable_static + +# What type of objects to build. +pic_mode=$pic_mode + +# Whether or not to optimize for fast installation. +fast_install=$enable_fast_install + +# Shell to use when invoking shell scripts. +SHELL=$lt_SHELL + +# An echo program that protects backslashes. +ECHO=$lt_ECHO + +# The host system. +host_alias=$host_alias +host=$host +host_os=$host_os + +# The build system. +build_alias=$build_alias +build=$build +build_os=$build_os + +# A sed program that does not truncate output. +SED=$lt_SED + +# Sed that helps us avoid accidentally triggering echo(1) options like -n. +Xsed="\$SED -e 1s/^X//" + +# A grep program that handles long lines. +GREP=$lt_GREP + +# An ERE matcher. +EGREP=$lt_EGREP + +# A literal string matcher. +FGREP=$lt_FGREP + +# A BSD- or MS-compatible name lister. +NM=$lt_NM + +# Whether we need soft or hard links. +LN_S=$lt_LN_S + +# What is the maximum length of a command? +max_cmd_len=$max_cmd_len + +# Object file suffix (normally "o"). +objext=$ac_objext + +# Executable file suffix (normally ""). +exeext=$exeext + +# whether the shell understands "unset". +lt_unset=$lt_unset + +# turn spaces into newlines. +SP2NL=$lt_lt_SP2NL + +# turn newlines into spaces. +NL2SP=$lt_lt_NL2SP + +# An object symbol dumper. +OBJDUMP=$lt_OBJDUMP + +# Method to check whether dependent libraries are shared objects. +deplibs_check_method=$lt_deplibs_check_method + +# Command to use when deplibs_check_method == "file_magic". +file_magic_cmd=$lt_file_magic_cmd + +# The archiver. +AR=$lt_AR +AR_FLAGS=$lt_AR_FLAGS + +# A symbol stripping program. +STRIP=$lt_STRIP + +# Commands used to install an old-style archive. +RANLIB=$lt_RANLIB +old_postinstall_cmds=$lt_old_postinstall_cmds +old_postuninstall_cmds=$lt_old_postuninstall_cmds + +# Whether to use a lock for old archive extraction. +lock_old_archive_extraction=$lock_old_archive_extraction + +# A C compiler. +LTCC=$lt_CC + +# LTCC compiler flags. +LTCFLAGS=$lt_CFLAGS + +# Take the output of nm and produce a listing of raw symbols and C names. +global_symbol_pipe=$lt_lt_cv_sys_global_symbol_pipe + +# Transform the output of nm in a proper C declaration. +global_symbol_to_cdecl=$lt_lt_cv_sys_global_symbol_to_cdecl + +# Transform the output of nm in a C name address pair. +global_symbol_to_c_name_address=$lt_lt_cv_sys_global_symbol_to_c_name_address + +# Transform the output of nm in a C name address pair when lib prefix is needed. +global_symbol_to_c_name_address_lib_prefix=$lt_lt_cv_sys_global_symbol_to_c_name_address_lib_prefix + +# The name of the directory that contains temporary libtool files. +objdir=$objdir + +# Used to examine libraries when file_magic_cmd begins with "file". +MAGIC_CMD=$MAGIC_CMD + +# Must we lock files when doing compilation? +need_locks=$lt_need_locks + +# Tool to manipulate archived DWARF debug symbol files on Mac OS X. +DSYMUTIL=$lt_DSYMUTIL + +# Tool to change global to local symbols on Mac OS X. +NMEDIT=$lt_NMEDIT + +# Tool to manipulate fat objects and archives on Mac OS X. +LIPO=$lt_LIPO + +# ldd/readelf like tool for Mach-O binaries on Mac OS X. +OTOOL=$lt_OTOOL + +# ldd/readelf like tool for 64 bit Mach-O binaries on Mac OS X 10.4. +OTOOL64=$lt_OTOOL64 + +# Old archive suffix (normally "a"). +libext=$libext + +# Shared library suffix (normally ".so"). +shrext_cmds=$lt_shrext_cmds + +# The commands to extract the exported symbol list from a shared archive. +extract_expsyms_cmds=$lt_extract_expsyms_cmds + +# Variables whose values should be saved in libtool wrapper scripts and +# restored at link time. +variables_saved_for_relink=$lt_variables_saved_for_relink + +# Do we need the "lib" prefix for modules? +need_lib_prefix=$need_lib_prefix + +# Do we need a version for libraries? +need_version=$need_version + +# Library versioning type. +version_type=$version_type + +# Shared library runtime path variable. +runpath_var=$runpath_var + +# Shared library path variable. +shlibpath_var=$shlibpath_var + +# Is shlibpath searched before the hard-coded library search path? +shlibpath_overrides_runpath=$shlibpath_overrides_runpath + +# Format of library name prefix. +libname_spec=$lt_libname_spec + +# List of archive names. 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This must work even if \$libdir does not exist. +hardcode_libdir_flag_spec_ld=$lt_hardcode_libdir_flag_spec_ld + +# Whether we need a single "-rpath" flag with a separated argument. +hardcode_libdir_separator=$lt_hardcode_libdir_separator + +# Set to "yes" if using DIR/libNAME\${shared_ext} during linking hardcodes +# DIR into the resulting binary. +hardcode_direct=$hardcode_direct + +# Set to "yes" if using DIR/libNAME\${shared_ext} during linking hardcodes +# DIR into the resulting binary and the resulting library dependency is +# "absolute",i.e impossible to change by setting \${shlibpath_var} if the +# library is relocated. +hardcode_direct_absolute=$hardcode_direct_absolute + +# Set to "yes" if using the -LDIR flag during linking hardcodes DIR +# into the resulting binary. +hardcode_minus_L=$hardcode_minus_L + +# Set to "yes" if using SHLIBPATH_VAR=DIR during linking hardcodes DIR +# into the resulting binary. +hardcode_shlibpath_var=$hardcode_shlibpath_var + +# Set to "yes" if building a shared library automatically hardcodes DIR +# into the library and all subsequent libraries and executables linked +# against it. +hardcode_automatic=$hardcode_automatic + +# Set to yes if linker adds runtime paths of dependent libraries +# to runtime path list. +inherit_rpath=$inherit_rpath + +# Whether libtool must link a program against all its dependency libraries. +link_all_deplibs=$link_all_deplibs + +# Fix the shell variable \$srcfile for the compiler. +fix_srcfile_path=$lt_fix_srcfile_path + +# Set to "yes" if exported symbols are required. +always_export_symbols=$always_export_symbols + +# The commands to list exported symbols. +export_symbols_cmds=$lt_export_symbols_cmds + +# Symbols that should not be listed in the preloaded symbols. +exclude_expsyms=$lt_exclude_expsyms + +# Symbols that must always be exported. +include_expsyms=$lt_include_expsyms + +# Commands necessary for linking programs (against libraries) with templates. +prelink_cmds=$lt_prelink_cmds + +# Specify filename containing input files. +file_list_spec=$lt_file_list_spec + +# How to hardcode a shared library path into an executable. +hardcode_action=$hardcode_action + +# ### END LIBTOOL CONFIG + +_LT_EOF + + case $host_os in + aix3*) + cat <<\_LT_EOF >> "$cfgfile" +# AIX sometimes has problems with the GCC collect2 program. For some +# reason, if we set the COLLECT_NAMES environment variable, the problems +# vanish in a puff of smoke. +if test "X${COLLECT_NAMES+set}" != Xset; then + COLLECT_NAMES= + export COLLECT_NAMES +fi +_LT_EOF + ;; + esac + + +ltmain="$ac_aux_dir/ltmain.sh" + + + # We use sed instead of cat because bash on DJGPP gets confused if + # if finds mixed CR/LF and LF-only lines. Since sed operates in + # text mode, it properly converts lines to CR/LF. This bash problem + # is reportedly fixed, but why not run on old versions too? + sed '/^# Generated shell functions inserted here/q' "$ltmain" >> "$cfgfile" \ + || (rm -f "$cfgfile"; exit 1) + + case $xsi_shell in + yes) + cat << \_LT_EOF >> "$cfgfile" + +# func_dirname file append nondir_replacement +# Compute the dirname of FILE. If nonempty, add APPEND to the result, +# otherwise set result to NONDIR_REPLACEMENT. +func_dirname () +{ + case ${1} in + */*) func_dirname_result="${1%/*}${2}" ;; + * ) func_dirname_result="${3}" ;; + esac +} + +# func_basename file +func_basename () +{ + func_basename_result="${1##*/}" +} + +# func_dirname_and_basename file append nondir_replacement +# perform func_basename and func_dirname in a single function +# call: +# dirname: Compute the dirname of FILE. If nonempty, +# add APPEND to the result, otherwise set result +# to NONDIR_REPLACEMENT. +# value returned in "$func_dirname_result" +# basename: Compute filename of FILE. +# value retuned in "$func_basename_result" +# Implementation must be kept synchronized with func_dirname +# and func_basename. For efficiency, we do not delegate to +# those functions but instead duplicate the functionality here. +func_dirname_and_basename () +{ + case ${1} in + */*) func_dirname_result="${1%/*}${2}" ;; + * ) func_dirname_result="${3}" ;; + esac + func_basename_result="${1##*/}" +} + +# func_stripname prefix suffix name +# strip PREFIX and SUFFIX off of NAME. +# PREFIX and SUFFIX must not contain globbing or regex special +# characters, hashes, percent signs, but SUFFIX may contain a leading +# dot (in which case that matches only a dot). +func_stripname () +{ + # pdksh 5.2.14 does not do ${X%$Y} correctly if both X and Y are + # positional parameters, so assign one to ordinary parameter first. + func_stripname_result=${3} + func_stripname_result=${func_stripname_result#"${1}"} + func_stripname_result=${func_stripname_result%"${2}"} +} + +# func_opt_split +func_opt_split () +{ + func_opt_split_opt=${1%%=*} + func_opt_split_arg=${1#*=} +} + +# func_lo2o object +func_lo2o () +{ + case ${1} in + *.lo) func_lo2o_result=${1%.lo}.${objext} ;; + *) func_lo2o_result=${1} ;; + esac +} + +# func_xform libobj-or-source +func_xform () +{ + func_xform_result=${1%.*}.lo +} + +# func_arith arithmetic-term... +func_arith () +{ + func_arith_result=$(( $* )) +} + +# func_len string +# STRING may not start with a hyphen. +func_len () +{ + func_len_result=${#1} +} + +_LT_EOF + ;; + *) # Bourne compatible functions. + cat << \_LT_EOF >> "$cfgfile" + +# func_dirname file append nondir_replacement +# Compute the dirname of FILE. If nonempty, add APPEND to the result, +# otherwise set result to NONDIR_REPLACEMENT. +func_dirname () +{ + # Extract subdirectory from the argument. + func_dirname_result=`$ECHO "${1}" | $SED "$dirname"` + if test "X$func_dirname_result" = "X${1}"; then + func_dirname_result="${3}" + else + func_dirname_result="$func_dirname_result${2}" + fi +} + +# func_basename file +func_basename () +{ + func_basename_result=`$ECHO "${1}" | $SED "$basename"` +} + + +# func_stripname prefix suffix name +# strip PREFIX and SUFFIX off of NAME. +# PREFIX and SUFFIX must not contain globbing or regex special +# characters, hashes, percent signs, but SUFFIX may contain a leading +# dot (in which case that matches only a dot). +# func_strip_suffix prefix name +func_stripname () +{ + case ${2} in + .*) func_stripname_result=`$ECHO "${3}" | $SED "s%^${1}%%; s%\\\\${2}\$%%"`;; + *) func_stripname_result=`$ECHO "${3}" | $SED "s%^${1}%%; s%${2}\$%%"`;; + esac +} + +# sed scripts: +my_sed_long_opt='1s/^\(-[^=]*\)=.*/\1/;q' +my_sed_long_arg='1s/^-[^=]*=//' + +# func_opt_split +func_opt_split () +{ + func_opt_split_opt=`$ECHO "${1}" | $SED "$my_sed_long_opt"` + func_opt_split_arg=`$ECHO "${1}" | $SED "$my_sed_long_arg"` +} + +# func_lo2o object +func_lo2o () +{ + func_lo2o_result=`$ECHO "${1}" | $SED "$lo2o"` +} + +# func_xform libobj-or-source +func_xform () +{ + func_xform_result=`$ECHO "${1}" | $SED 's/\.[^.]*$/.lo/'` +} + +# func_arith arithmetic-term... +func_arith () +{ + func_arith_result=`expr "$@"` +} + +# func_len string +# STRING may not start with a hyphen. +func_len () +{ + func_len_result=`expr "$1" : ".*" 2>/dev/null || echo $max_cmd_len` +} + +_LT_EOF +esac + +case $lt_shell_append in + yes) + cat << \_LT_EOF >> "$cfgfile" + +# func_append var value +# Append VALUE to the end of shell variable VAR. +func_append () +{ + eval "$1+=\$2" +} +_LT_EOF + ;; + *) + cat << \_LT_EOF >> "$cfgfile" + +# func_append var value +# Append VALUE to the end of shell variable VAR. +func_append () +{ + eval "$1=\$$1\$2" +} + +_LT_EOF + ;; + esac + + + sed -n '/^# Generated shell functions inserted here/,$p' "$ltmain" >> "$cfgfile" \ + || (rm -f "$cfgfile"; exit 1) + + mv -f "$cfgfile" "$ofile" || + (rm -f "$ofile" && cp "$cfgfile" "$ofile" && rm -f "$cfgfile") + chmod +x "$ofile" + + ;; + "default-1":C) +# Only add multilib support code if we just rebuilt the top-level +# Makefile. +case " $CONFIG_FILES " in + *" Makefile "*) + ac_file=Makefile . ${multi_basedir}/config-ml.in + ;; +esac ;; + + esac +done # for ac_tag + + +as_fn_exit 0 +_ACEOF +ac_clean_files=$ac_clean_files_save + +test $ac_write_fail = 0 || + as_fn_error "write failure creating $CONFIG_STATUS" "$LINENO" 5 + + +# configure is writing to config.log, and then calls config.status. +# config.status does its own redirection, appending to config.log. +# Unfortunately, on DOS this fails, as config.log is still kept open +# by configure, so config.status won't be able to write to it; its +# output is simply discarded. So we exec the FD to /dev/null, +# effectively closing config.log, so it can be properly (re)opened and +# appended to by config.status. When coming back to configure, we +# need to make the FD available again. +if test "$no_create" != yes; then + ac_cs_success=: + ac_config_status_args= + test "$silent" = yes && + ac_config_status_args="$ac_config_status_args --quiet" + exec 5>/dev/null + $SHELL $CONFIG_STATUS $ac_config_status_args || ac_cs_success=false + exec 5>>config.log + # Use ||, not &&, to avoid exiting from the if with $? = 1, which + # would make configure fail if this is the last instruction. + $ac_cs_success || as_fn_exit $? +fi +if test -n "$ac_unrecognized_opts" && test "$enable_option_checking" != no; then + { $as_echo "$as_me:${as_lineno-$LINENO}: WARNING: unrecognized options: $ac_unrecognized_opts" >&5 +$as_echo "$as_me: WARNING: unrecognized options: $ac_unrecognized_opts" >&2;} +fi + diff --git a/libquadmath/configure.ac b/libquadmath/configure.ac new file mode 100644 index 000000000..512b9f813 --- /dev/null +++ b/libquadmath/configure.ac @@ -0,0 +1,367 @@ +# Process this file with autoconf to produce a configure script, like so: +# aclocal && autoconf && autoheader && automake + +AC_PREREQ(2.64) +AC_INIT([GCC Quad-precision Math Library], 0.1,,[libquadmath]) +AC_CONFIG_HEADER(config.h) + +# Gets build, host, target, *_vendor, *_cpu, *_os, etc. +# +# You will slowly go insane if you do not grok the following fact: when +# building this library, the top-level /target/ becomes the library's /host/. +# +# configure then causes --target to default to --host, exactly like any +# other package using autoconf. Therefore, 'target' and 'host' will +# always be the same. This makes sense both for native and cross compilers +# just think about it for a little while. :-) +# +# Also, if this library is being configured as part of a cross compiler, the +# top-level configure script will pass the "real" host as $with_cross_host. +# +# Do not delete or change the following two lines. For why, see +# http://gcc.gnu.org/ml/libstdc++/2003-07/msg00451.html +AC_CANONICAL_SYSTEM +ACX_NONCANONICAL_TARGET + +target_alias=${target_alias-$host_alias} +AC_SUBST(target_alias) + +AM_INIT_AUTOMAKE([1.9.0 foreign subdir-objects no-dist -Wall -Wno-override -Werror]) + +AC_MSG_CHECKING([for --enable-version-specific-runtime-libs]) +AC_ARG_ENABLE(version-specific-runtime-libs, +AS_HELP_STRING([--enable-version-specific-runtime-libs], + [specify that runtime libraries should be installed in a compiler-specific directory]), +[case "$enableval" in + yes) version_specific_libs=yes ;; + no) version_specific_libs=no ;; + *) AC_MSG_ERROR([Unknown argument to enable/disable version-specific libs]);; + esac], +[version_specific_libs=no]) +AC_MSG_RESULT($version_specific_libs) + +GCC_NO_EXECUTABLES + +AC_USE_SYSTEM_EXTENSIONS + +# See if makeinfo has been installed and is modern enough +# that we can use it. +ACX_CHECK_PROG_VER([MAKEINFO], [makeinfo], [--version], + [GNU texinfo.* \([0-9][0-9.]*\)], + [4.[4-9]*|4.[1-9][0-9]*|[5-9]*|[1-9][0-9]*]) +AM_CONDITIONAL(BUILD_INFO, test $gcc_cv_prog_makeinfo_modern = "yes") + +ACX_BUGURL([http://gcc.gnu.org/bugs.html]) + +# Configure libtool +AM_PROG_LIBTOOL +ACX_LT_HOST_FLAGS +AC_SUBST(enable_shared) +AC_SUBST(enable_static) + +AM_MAINTAINER_MODE +AM_ENABLE_MULTILIB(, ..) + +AC_LANG_C +# The same as in boehm-gc and libstdc++. Have to borrow it from there. +# We must force CC to /not/ be precious variables; otherwise +# the wrong, non-multilib-adjusted value will be used in multilibs. +# As a side effect, we have to subst CFLAGS ourselves. + +m4_rename([_AC_ARG_VAR_PRECIOUS],[real_PRECIOUS]) +m4_define([_AC_ARG_VAR_PRECIOUS],[]) +AC_PROG_CC +m4_rename_force([real_PRECIOUS],[_AC_ARG_VAR_PRECIOUS]) + +AC_SUBST(CFLAGS) + +AM_PROG_CC_C_O + +if test "x$GCC" != "xyes"; then + AC_MSG_ERROR([libquadmath must be built with GCC]) +fi +AC_PROG_CPP + +# Calculate toolexeclibdir +# Also toolexecdir, though it's only used in toolexeclibdir +case ${version_specific_libs} in + yes) + # Need the gcc compiler version to know where to install libraries + # and header files if --enable-version-specific-runtime-libs option + # is selected. + toolexecdir='$(libdir)/gcc/$(target_alias)' + toolexeclibdir='$(toolexecdir)/$(gcc_version)$(MULTISUBDIR)' + ;; + no) + if test -n "$with_cross_host" && + test x"$with_cross_host" != x"no"; then + # Install a library built with a cross compiler in tooldir, not libdir. + toolexecdir='$(exec_prefix)/$(target_alias)' + toolexeclibdir='$(toolexecdir)/lib' + else + toolexecdir='$(libdir)/gcc-lib/$(target_alias)' + toolexeclibdir='$(libdir)' + fi + multi_os_directory=`$CC -print-multi-os-directory` + case $multi_os_directory in + .) ;; # Avoid trailing /. + *) toolexeclibdir=$toolexeclibdir/$multi_os_directory ;; + esac + ;; +esac +AC_SUBST(toolexecdir) +AC_SUBST(toolexeclibdir) + +AC_CHECK_HEADERS(fenv.h langinfo.h locale.h wchar.h wctype.h limits.h ctype.h printf.h errno.h) + +# If available, sqrtl and cbrtl speed up the calculation - +# but they are not required +if test x$gcc_no_link != xyes; then + AC_CHECK_LIB([m],[sqrtl],[AC_DEFINE([HAVE_SQRTL],[1],[libm includes sqrtl])]) + AC_CHECK_LIB([m],[cbrtl],[AC_DEFINE([HAVE_CBRTL],[1],[libm includes cbrtl])]) + AC_CHECK_LIB([m],[feholdexcept],[AC_DEFINE([HAVE_FEHOLDEXCEPT],[1],[libm includes feholdexcept])]) + AC_CHECK_LIB([m],[fesetround],[AC_DEFINE([HAVE_FESETROUND],[1],[libm includes fesetround])]) + AC_CHECK_LIB([m],[feupdateenv],[AC_DEFINE([HAVE_FEUPDATEENV],[1],[libm includes feupdateenv])]) + AC_CHECK_LIB([m],[fesetenv],[AC_DEFINE([HAVE_FESETENV],[1],[libm includes fesetenv])]) + AC_CHECK_LIB([m],[fetestexcept],[AC_DEFINE([HAVE_FETESTEXCEPT],[1],[libm includes fetestexcept])]) + AC_CHECK_FUNCS(strtoull) +else + if test "x$ac_cv_lib_m_sqrtl" = x""yes; then + AC_DEFINE([HAVE_SQRTL],[1],[libm includes sqrtl]) + fi + if test "x$ac_cv_lib_m_cbrtl" = x""yes; then + AC_DEFINE([HAVE_CBRTL],[1],[libm includes cbrtl]) + fi + if test "x$ac_cv_lib_m_feholdexcept" = x""yes; then + AC_DEFINE([HAVE_FEHOLDEXCEPT],[1],[libm includes feholdexcept]) + fi + if test "x$ac_cv_lib_m_fesetround" = x""yes; then + AC_DEFINE([HAVE_FESETROUND],[1],[libm includes fesetround]) + fi + if test "x$ac_cv_lib_m_feupdateenv" = x""yes; then + AC_DEFINE([HAVE_FEUPDATEENV],[1],[libm includes feupdateenv]) + fi + if test "x$ac_cv_lib_m_fesetenv" = x""yes; then + AC_DEFINE([HAVE_FESETENV],[1],[libm includes fesetenv]) + fi + if test "x$ac_cv_lib_m_fetestexcept" = x""yes; then + AC_DEFINE([HAVE_FETESTEXCEPT],[1],[libm includes fetestexcept]) + fi +fi + +# Check for hidden visibility (copied from libssp). +saved_CFLAGS="$CFLAGS" +CFLAGS="$CFLAGS -Werror" +AC_MSG_CHECKING([whether hidden visibility is supported]) +AC_TRY_COMPILE([ +void __attribute__((visibility ("hidden"))) bar (void) {}],, +[quadmath_hidden=yes],[quadmath_hidden=no]) +AC_MSG_RESULT($quadmath_hidden) +if test x$quadmath_hidden = xyes; then + AC_DEFINE([HAVE_HIDDEN_VISIBILITY],[1],[__attribute__((visibility ("hidden"))) supported]) +fi +CFLAGS="$saved_CFLAGS" + +# Check for symbol versioning (copied from libssp). +AC_MSG_CHECKING([whether symbol versioning is supported]) +AC_ARG_ENABLE(symvers, +AS_HELP_STRING([--disable-symvers], + [disable symbol versioning for libquadmath]), +quadmath_use_symver=$enableval, +quadmath_use_symver=yes) +if test "x$quadmath_use_symver" = xyes; then + if test x$gcc_no_link = xyes; then + # If we cannot link, we cannot build shared libraries, so do not use + # symbol versioning. + quadmath_use_symver=no + else + save_LDFLAGS="$LDFLAGS" + LDFLAGS="$LDFLAGS -fPIC -shared -Wl,--version-script,./conftest.map" + cat > conftest.map <<EOF +FOO_1.0 { + global: *foo*; bar; local: *; +}; +EOF + AC_TRY_LINK([int foo;],[],[quadmath_use_symver=gnu],[quadmath_use_symver=no]) + if test x$quadmath_use_symver = xno; then + case "$target_os" in + solaris2*) + LDFLAGS="$save_LDFLAGS" + LDFLAGS="$LDFLAGS -fPIC -shared -Wl,-M,./conftest.map" + # Sun ld cannot handle wildcards and treats all entries as undefined. + cat > conftest.map <<EOF +FOO_1.0 { + global: foo; local: *; +}; +EOF + AC_TRY_LINK([int foo;],[],[quadmath_use_symver=sun],[quadmath_use_symver=no]) + ;; + esac + fi + LDFLAGS="$save_LDFLAGS" + fi +fi +AC_MSG_RESULT($quadmath_use_symver) +AM_CONDITIONAL(LIBQUAD_USE_SYMVER, [test "x$quadmath_use_symver" != xno]) +AM_CONDITIONAL(LIBQUAD_USE_SYMVER_GNU, [test "x$quadmath_use_symver" = xgnu]) +AM_CONDITIONAL(LIBQUAD_USE_SYMVER_SUN, [test "x$quadmath_use_symver" = xsun]) + +AC_CACHE_CHECK([whether __float128 is supported], [libquad_cv_have_float128], + [GCC_TRY_COMPILE_OR_LINK([ + typedef _Complex float __attribute__((mode(TC))) __complex128; + + __float128 foo (__float128 x) + { + + __complex128 z1, z2; + + z1 = x; + z2 = x / 7.Q; + z2 /= z1; + + return (__float128) z2; + } + + __float128 bar (__float128 x) + { + return x * __builtin_huge_valq (); + } + ],[ + foo (1.2Q); + bar (1.2Q); + ],[ + libquad_cv_have_float128=yes + ],[ + libquad_cv_have_float128=no +])]) +AM_CONDITIONAL(BUILD_LIBQUADMATH, [test "x$libquad_cv_have_float128" = xyes]) + +# Check for printf hook support. +AC_MSG_CHECKING([whether printf hooks are supported]) +AC_TRY_COMPILE([ +#include <printf.h> +#include <stdarg.h> +#include <stdlib.h> +extern void flt128_va (void *, va_list *); +extern int flt128_ais (const struct printf_info *, size_t, int *, int *); +extern int flt128_printf_fp (FILE *, const struct printf_info *, const void *const *); +],[ +int pa_flt128 = register_printf_type (flt128_va); +int mod_Q = register_printf_modifier (L"Q"); +int res = register_printf_specifier ('f', flt128_printf_fp, flt128_ais); +struct printf_info info = { .user = -1 }; +], +[quadmath_printf_hooks=yes],[quadmath_printf_hooks=no]) +AC_MSG_RESULT($quadmath_printf_hooks) +if test x$quadmath_printf_hooks = xyes; then + AC_DEFINE([HAVE_PRINTF_HOOKS],[1],[GNU C Library stype printf hooks supported]) +fi + +# Check for whether locale support for quadmath_snprintf or Q printf hooks +# should be provided. +AC_MSG_CHECKING([whether nl_langinfo should be used]) +AC_TRY_COMPILE([#include <langinfo.h>],[ +const char *s; +s = nl_langinfo (DECIMAL_POINT); +s = nl_langinfo (MON_DECIMAL_POINT); +s = nl_langinfo (GROUPING); +s = nl_langinfo (MON_GROUPING); +s = nl_langinfo (THOUSANDS_SEP); +s = nl_langinfo (MON_THOUSANDS_SEP); +(void) s; +], +[quadmath_use_nl_langinfo=yes],[quadmath_use_nl_langinfo=no]) +AC_MSG_RESULT($quadmath_use_nl_langinfo) +if test x$quadmath_use_nl_langinfo = xyes; then + AC_DEFINE([USE_NL_LANGINFO],[1],[whether nl_langinfo should be used]) +fi + +AC_MSG_CHECKING([whether nl_langinfo should be used for wide char locale info]) +AC_TRY_COMPILE([#include <langinfo.h>],[ +const char *s; +s = nl_langinfo (_NL_NUMERIC_DECIMAL_POINT_WC); +s = nl_langinfo (_NL_MONETARY_DECIMAL_POINT_WC); +s = nl_langinfo (_NL_NUMERIC_THOUSANDS_SEP_WC); +s = nl_langinfo (_NL_MONETARY_THOUSANDS_SEP_WC); +(void) s; +], +[quadmath_use_nl_langinfo_wc=yes],[quadmath_use_nl_langinfo_wc=no]) +AC_MSG_RESULT($quadmath_use_nl_langinfo_wc) +if test x$quadmath_use_nl_langinfo_wc = xyes; then + AC_DEFINE([USE_NL_LANGINFO_WC],[1],[whether nl_langinfo should be used for wide char locale info]) +fi + +AC_MSG_CHECKING([whether localeconv should be used]) +AC_TRY_COMPILE([#include <locale.h>],[ +const struct lconv *l = localeconv (); +const char *s; +s = l->decimal_point; +s = l->mon_decimal_point; +s = l->grouping; +s = l->mon_grouping; +s = l->thousands_sep; +s = l->mon_thousands_sep; +(void) s; +], +[quadmath_use_localeconv=yes],[quadmath_use_localeconv=no]) +AC_MSG_RESULT($quadmath_use_localeconv) +if test x$quadmath_use_localeconv = xyes; then + AC_DEFINE([USE_LOCALECONV],[1],[whether localeconv should be used]) +fi + +# Check for whether i18n number rewriting support for quadmath_snprintf +# or Q printf hooks should be provided. +AC_MSG_CHECKING([whether i18n number rewriting support for quadmath_snprintf should be added]) +AC_TRY_COMPILE([#include <langinfo.h> +#include <limits.h> +#include <string.h> +#include <wchar.h> +#include <wctype.h>],[ +const char *s; +char decimal[MB_LEN_MAX]; +wctrans_t map = wctrans ("to_outpunct"); +wint_t wdecimal = towctrans (L'.', map); +mbstate_t state; +memset (&state, '\0', sizeof (state)); +wcrtomb (decimal, wdecimal, &state); +s = nl_langinfo (_NL_CTYPE_OUTDIGIT0_MB); +s = nl_langinfo (_NL_CTYPE_OUTDIGIT0_WC); +s = nl_langinfo (_NL_CTYPE_MB_CUR_MAX); +(void) s; +], +[quadmath_use_i18n_number_h=yes],[quadmath_use_i18n_number_h=no]) +AC_MSG_RESULT($quadmath_use_i18n_number_h) +if test x$quadmath_use_i18n_number_h = xyes; then + AC_DEFINE([USE_I18N_NUMBER_H],[1],[whether i18n number rewriting can be supported]) +fi + +AC_CACHE_SAVE + +if test ${multilib} = yes; then + multilib_arg="--enable-multilib" +else + multilib_arg= +fi + + +# We would like our source tree to be readonly. However when releases or +# pre-releases are generated, the flex/bison generated files as well as the +# various formats of manuals need to be included along with the rest of the +# sources. Therefore we have --enable-generated-files-in-srcdir to do +# just that. +AC_MSG_CHECKING(generated-files-in-srcdir) +AC_ARG_ENABLE(generated-files-in-srcdir, +AS_HELP_STRING([--enable-generated-files-in-srcdir], + [put copies of generated files in source dir intended for creating source tarballs for users without texinfo bison or flex]), +[case "$enableval" in + yes) enable_generated_files_in_srcdir=yes ;; + no) enable_generated_files_in_srcdir=no ;; + *) AC_MSG_ERROR([Unknown argument to enable/disable version-specific libs]);; + esac], +[enable_generated_files_in_srcdir=no]) +AC_MSG_RESULT($enable_generated_files_in_srcdir) +AM_CONDITIONAL(GENINSRC, test "$enable_generated_files_in_srcdir" = yes) + + +AC_CONFIG_FILES(Makefile) +AC_OUTPUT diff --git a/libquadmath/libquadmath.info b/libquadmath/libquadmath.info new file mode 100644 index 000000000..54813f53d --- /dev/null +++ b/libquadmath/libquadmath.info @@ -0,0 +1,924 @@ +This is libquadmath.info, produced by makeinfo version 4.13 from +/home/jakub/gcc-4.6.4/gcc-4.6.4/libquadmath/libquadmath.texi. + +Copyright (C) 2010 Free Software Foundation, Inc. + + Permission is granted to copy, distribute and/or modify this + document under the terms of the GNU Free Documentation License, + Version 1.2 or any later version published by the Free Software + Foundation; with no Invariant Sections, with the Front-Cover Texts + being "A GNU Manual," and with the Back-Cover Texts as in (a) + below. A copy of the license is included in the section entitled + "GNU Free Documentation License." + + (a) The FSF's Back-Cover Text is: "You have the freedom to copy + and modify this GNU manual. + +INFO-DIR-SECTION GNU Libraries +START-INFO-DIR-ENTRY +* libquadmath: (libquadmath). GCC Quad-Precision Math Library +END-INFO-DIR-ENTRY + + This manual documents the GCC Quad-Precision Math Library API. + + Published by the Free Software Foundation 51 Franklin Street, Fifth +Floor Boston, MA 02110-1301 USA + + Copyright (C) 2010 Free Software Foundation, Inc. + + Permission is granted to copy, distribute and/or modify this + document under the terms of the GNU Free Documentation License, + Version 1.2 or any later version published by the Free Software + Foundation; with no Invariant Sections, with the Front-Cover Texts + being "A GNU Manual," and with the Back-Cover Texts as in (a) + below. A copy of the license is included in the section entitled + "GNU Free Documentation License." + + (a) The FSF's Back-Cover Text is: "You have the freedom to copy + and modify this GNU manual. + + +File: libquadmath.info, Node: Top, Next: Typedef and constants, Up: (dir) + +Introduction +************ + +This manual documents the usage of libquadmath, the GCC Quad-Precision +Math Library Application Programming Interface (API). + +* Menu: + +* Typedef and constants:: Defined data types and constants +* Math Library Routines:: The Libquadmath math runtime application + programming interface. +* I/O Library Routines:: The Libquadmath I/O runtime application + programming interface. +* GNU Free Documentation License:: + How you can copy and share this manual. +* Reporting Bugs:: How to report bugs in GCC Libquadmath. + + +File: libquadmath.info, Node: Typedef and constants, Next: Math Library Routines, Prev: Top, Up: Top + +1 Typedef and constants +*********************** + +The following data type has been defined via `typedef'. + +`__complex128': `__float128'-based complex number + + The following macros are defined, which give the numeric limits of +the `__float128' data type. + +`FLT128_MAX': largest finite number + +`FLT128_MIN': smallest positive number with full precision + +`FLT128_EPSILON': difference between 1 and the next larger + representable number + +`FLT128_DENORM_MIN': smallest positive denormalized number + +`FLT128_MANT_DIG': number of digits in the mantissa (bit precision) + +`FLT128_MIN_EXP': maximal negative exponent + +`FLT128_MAX_EXP': maximal positive exponent + +`FLT128_DIG': number of decimal digits in the mantissa + +`FLT128_MIN_10_EXP': maximal negative decimal exponent + +`FLT128_MAX_10_EXP': maximal positive decimal exponent + + The following mathematical constants of type `__float128' are +defined. + +`M_Eq': the constant e (Euler's number) + +`M_LOG2Eq': binary logarithm of 2 + +`M_LOG10Eq': common, decimal logarithm of 2 + +`M_LN2q': natural logarithm of 2 + +`M_LN10q': natural logarithm of 10 + +`M_PIq': pi + +`M_PI_2q': two pi + +`M_PI_4q': four pi + +`M_1_PIq': one over pi + +`M_2_PIq': one over two pi + +`M_2_SQRTPIq': two over square root of pi + +`M_SQRT2q': square root of 2 + +`M_SQRT1_2q': one over square root of 2 + + +File: libquadmath.info, Node: Math Library Routines, Next: I/O Library Routines, Prev: Typedef and constants, Up: Top + +2 Math Library Routines +*********************** + +The following mathematical functions are available: + +`acosq': arc cosine function + +`acoshq': inverse hyperbolic cosine function + +`asinq': arc sine function + +`asinhq': inverse hyperbolic sine function + +`atanq': arc tangent function + +`atanhq': inverse hyperbolic tangent function + +`atan2q': arc tangent function + +`cbrtq': cube root function + +`ceilq': ceiling value function + +`copysignq': copy sign of a number + +`coshq': hyperbolic cosine function + +`cosq': cosine function + +`erfq': error function + +`erfcq': complementary error function + +`expq': exponential function + +`expm1q': exponential minus 1 function + +`fabsq': absolute value function + +`fdimq': positive difference function + +`finiteq': check finiteness of value + +`floorq': floor value function + +`fmaq': fused multiply and add + +`fmaxq': determine maximum of two values + +`fminq': determine minimum of two values + +`fmodq': remainder value function + +`frexpq': extract mantissa and exponent + +`hypotq': Eucledian distance function + +`ilogbq': get exponent of the value + +`isinfq': check for infinity + +`isnanq': check for not a number + +`j0q': Bessel function of the first kind, first order + +`j1q': Bessel function of the first kind, second order + +`jnq': Bessel function of the first kind, N-th order + +`ldexpq': load exponent of the value + +`lgammaq': logarithmic gamma function + +`llrintq': round to nearest integer value + +`llroundq': round to nearest integer value away from zero + +`logq': natural logarithm function + +`log10q': base 10 logarithm function + +`log1pq': compute natural logarithm of the value plus one + +`log2q': base 2 logarithm function + +`lrintq': round to nearest integer value + +`lroundq': round to nearest integer value away from zero + +`modfq': decompose the floating-point number + +`nanq': return quiet NaN + +`nearbyintq': round to nearest integer + +`nextafterq': next representable floating-point number + +`powq': power function + +`remainderq': remainder function + +`remquoq': remainder and part of quotient + +`rintq': round-to-nearest integral value + +`roundq': round-to-nearest integral value, return `__float128' + +`scalblnq': compute exponent using `FLT_RADIX' + +`scalbnq': compute exponent using `FLT_RADIX' + +`signbitq': return sign bit + +`sincosq': calculate sine and cosine simulataneously + +`sinhq': hyperbolic sine function + +`sinq': sine function + +`sqrtq': square root function + +`tanq': tangent function + +`tanhq': hyperbolic tangent function + +`tgammaq': true gamma function + +`truncq': round to integer, towards zero + +`y0q': Bessel function of the second kind, first order + +`y1q': Bessel function of the second kind, second order + +`ynq': Bessel function of the second kind, N-th order + +`cabsq' complex absolute value function + +`cargq': calculate the argument + +`cimagq' imaginary part of complex number + +`crealq': real part of complex number + +`cacoshq': complex arc hyperbolic cosine function + +`cacosq': complex arc cosine function + +`casinhq': complex arc hyperbolic sine function + +`casinq': complex arc sine function + +`catanhq': complex arc hyperbolic tangent function + +`catanq': complex arc tangent function + +`ccosq' complex cosine function: + +`ccoshq': complex hyperbolic cosine function + +`cexpq': complex exponential function + +`cexpiq': computes the exponential function of "i" times a + real value + +`clogq': complex natural logarithm + +`clog10q': complex base 10 logarithm + +`conjq': complex conjugate function + +`cpowq': complex power function + +`cprojq': project into Riemann Sphere + +`csinq': complex sine function + +`csinhq': complex hyperbolic sine function + +`csqrtq': complex square root + +`ctanq': complex tangent function + +`ctanhq': complex hyperbolic tangent function + + +File: libquadmath.info, Node: I/O Library Routines, Next: GNU Free Documentation License, Prev: Math Library Routines, Up: Top + +3 I/O Library Routines +********************** + +* Menu: + +* `strtoflt128': strtoflt128, Convert from string +* `quadmath_snprintf': quadmath_snprintf, Convert to string + + +File: libquadmath.info, Node: strtoflt128, Next: quadmath_snprintf, Up: I/O Library Routines + +3.1 `strtoflt128' -- Convert from string +======================================== + +The function `dmath_strtopQ' converts a string into a `__float128' +number. + +Syntax + `__float128 strtoflt128 (const char *s, char **sp)' + +_Arguments_: + S input string + SP the address of the next character in the string + + The argument SP contains, if not `NULL', the address of the next + character following the parts of the string, which have been read. + +Example + #include <quadmath.h> + + int main () + { + __float128 r; + + r = strtoflt128 ("1.2345678", NULL); + + return 0; + } + + +File: libquadmath.info, Node: quadmath_snprintf, Prev: strtoflt128, Up: I/O Library Routines + +3.2 `quadmath_snprintf' -- Convert to string +============================================ + +The function `quadmath_snprintf' converts a `__float128' floating-point +number into a string. It is a specialized alternative to `snprintf', +where the format string is restricted to a single conversion specifier +with `Q' modifier and conversion specifier `e', `E', `f', `F', `g', +`G', `a' or `A', with no extra characters before or after the +conversion specifier. The `%m$' or `*m$' style must not be used in the +format. + +Syntax + `int quadmath_snprintf (char *s, size_t size, const char *format, + ...)' + +_Arguments_: + S output string + SIZE byte size of the string, including tailing NUL + FORMAT conversion specifier string + +Example + #include <quadmath.h> + #include <stdlib.h> + #include <stdio.h> + + int main () + { + __float128 r; + int prec = 20; + int width = 46; + char buf[128]; + + r = 2.0q; + r = sqrtq (r); + int n = quadmath_snprintf (buf, sizeof buf, "%+-#*.20Qe", width, r); + if ((size_t) n < sizeof buf) + printf ("%s\n", buf); + /* Prints: +1.41421356237309504880e+00 */ + quadmath_snprintf (buf, sizeof buf, "%Qa", r); + if ((size_t) n < sizeof buf) + printf ("%s\n", buf); + /* Prints: 0x1.6a09e667f3bcc908b2fb1366ea96p+0 */ + n = quadmath_snprintf (NULL, 0, "%+-#46.*Qe", prec, r); + if (n > -1) + { + char *str = malloc (n + 1); + if (str) + { + quadmath_snprintf (str, n + 1, "%+-#46.*Qe", prec, r); + printf ("%s\n", str); + /* Prints: +1.41421356237309504880e+00 */ + } + free (str); + } + return 0; + } + + + On some targets when supported by the C library hooks are installed +for `printf' family of functions, so that `printf ("%Qe", 1.2Q);' etc. +works too. + + +File: libquadmath.info, Node: GNU Free Documentation License, Next: Reporting Bugs, Prev: I/O Library Routines, Up: Top + +GNU Free Documentation License +****************************** + + Version 1.3, 3 November 2008 + + Copyright (C) 2000, 2001, 2002, 2007, 2008 Free Software Foundation, Inc. + `http://fsf.org/' + + Everyone is permitted to copy and distribute verbatim copies + of this license document, but changing it is not allowed. + + 0. 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A copy of the license is included in the section entitled ``GNU + Free Documentation License''. + + If you have Invariant Sections, Front-Cover Texts and Back-Cover +Texts, replace the "with...Texts." line with this: + + with the Invariant Sections being LIST THEIR TITLES, with + the Front-Cover Texts being LIST, and with the Back-Cover Texts + being LIST. + + If you have Invariant Sections without Cover Texts, or some other +combination of the three, merge those two alternatives to suit the +situation. + + If your document contains nontrivial examples of program code, we +recommend releasing these examples in parallel under your choice of +free software license, such as the GNU General Public License, to +permit their use in free software. + + +File: libquadmath.info, Node: Reporting Bugs, Prev: GNU Free Documentation License, Up: Top + +4 Reporting Bugs +**************** + +Bugs in the GCC Quad-Precision Math Library implementation should be +reported via `http://gcc.gnu.org/bugs.html'. + + + +Tag Table: +Node: Top1669 +Node: Typedef and constants2403 +Node: Math Library Routines3821 +Node: I/O Library Routines7626 +Node: strtoflt1287951 +Node: quadmath_snprintf8711 +Node: GNU Free Documentation License10902 +Node: Reporting Bugs36068 + +End Tag Table diff --git a/libquadmath/libquadmath.texi b/libquadmath/libquadmath.texi new file mode 100644 index 000000000..f2557c8e6 --- /dev/null +++ b/libquadmath/libquadmath.texi @@ -0,0 +1,388 @@ +\input texinfo @c -*-texinfo-*- + +@c %**start of header +@setfilename libquadmath.info +@settitle GCC libquadmath +@c %**end of header + +@copying +Copyright @copyright{} 2010 Free Software Foundation, Inc. + +@quotation +Permission is granted to copy, distribute and/or modify this document +under the terms of the GNU Free Documentation License, Version 1.2 or +any later version published by the Free Software Foundation; with no +Invariant Sections, with the Front-Cover Texts being ``A GNU Manual,'' +and with the Back-Cover Texts as in (a) below. A copy of the +license is included in the section entitled ``GNU Free Documentation +License.'' + +(a) The FSF's Back-Cover Text is: ``You have the freedom to +copy and modify this GNU manual. +@end quotation +@end copying + +@ifinfo +@dircategory GNU Libraries +@direntry +* libquadmath: (libquadmath). GCC Quad-Precision Math Library +@end direntry + +This manual documents the GCC Quad-Precision Math Library API. + +Published by the Free Software Foundation +51 Franklin Street, Fifth Floor +Boston, MA 02110-1301 USA + +@insertcopying +@end ifinfo + + +@setchapternewpage odd + +@titlepage +@title The GCC Quad-Precision Math Library +@page +@vskip 0pt plus 1filll +@comment For the @value{version-GCC} Version* +@sp 1 +Published by the Free Software Foundation @* +51 Franklin Street, Fifth Floor@* +Boston, MA 02110-1301, USA@* +@sp 1 +@insertcopying +@end titlepage + +@summarycontents +@contents +@page + + +@node Top +@top Introduction +@cindex Introduction + +This manual documents the usage of libquadmath, the GCC Quad-Precision +Math Library Application Programming Interface (API). + + +@comment +@comment When you add a new menu item, please keep the right hand +@comment aligned to the same column. Do not use tabs. This provides +@comment better formatting. +@comment +@menu +* Typedef and constants:: Defined data types and constants +* Math Library Routines:: The Libquadmath math runtime application + programming interface. +* I/O Library Routines:: The Libquadmath I/O runtime application + programming interface. +* GNU Free Documentation License:: + How you can copy and share this manual. +* Reporting Bugs:: How to report bugs in GCC Libquadmath. +@c * Index:: Index of this documentation. +@end menu + + +@c --------------------------------------------------------------------- +@c Defined macros +@c --------------------------------------------------------------------- + +@node Typedef and constants +@chapter Typedef and constants + +The following data type has been defined via @code{typedef}. + +@table @asis +@item @code{__complex128}: @code{__float128}-based complex number +@end table + +The following macros are defined, which give the numeric limits of the +@code{__float128} data type. + +@table @asis +@item @code{FLT128_MAX}: largest finite number +@item @code{FLT128_MIN}: smallest positive number with full precision +@item @code{FLT128_EPSILON}: difference between 1 and the next larger + representable number +@item @code{FLT128_DENORM_MIN}: smallest positive denormalized number +@item @code{FLT128_MANT_DIG}: number of digits in the mantissa (bit precision) +@item @code{FLT128_MIN_EXP}: maximal negative exponent +@item @code{FLT128_MAX_EXP}: maximal positive exponent +@item @code{FLT128_DIG}: number of decimal digits in the mantissa +@item @code{FLT128_MIN_10_EXP}: maximal negative decimal exponent +@item @code{FLT128_MAX_10_EXP}: maximal positive decimal exponent +@end table + +The following mathematical constants of type @code{__float128} are defined. + +@table @asis +@item @code{M_Eq}: the constant e (Euler's number) +@item @code{M_LOG2Eq}: binary logarithm of 2 +@item @code{M_LOG10Eq}: common, decimal logarithm of 2 +@item @code{M_LN2q}: natural logarithm of 2 +@item @code{M_LN10q}: natural logarithm of 10 +@item @code{M_PIq}: pi +@item @code{M_PI_2q}: two pi +@item @code{M_PI_4q}: four pi +@item @code{M_1_PIq}: one over pi +@item @code{M_2_PIq}: one over two pi +@item @code{M_2_SQRTPIq}: two over square root of pi +@item @code{M_SQRT2q}: square root of 2 +@item @code{M_SQRT1_2q}: one over square root of 2 +@end table + + +@c --------------------------------------------------------------------- +@c Math routines +@c --------------------------------------------------------------------- + +@node Math Library Routines +@chapter Math Library Routines + +The following mathematical functions are available: + +@table @asis +@item @code{acosq}: arc cosine function +@item @code{acoshq}: inverse hyperbolic cosine function +@item @code{asinq}: arc sine function +@item @code{asinhq}: inverse hyperbolic sine function +@item @code{atanq}: arc tangent function +@item @code{atanhq}: inverse hyperbolic tangent function +@item @code{atan2q}: arc tangent function +@item @code{cbrtq}: cube root function +@item @code{ceilq}: ceiling value function +@item @code{copysignq}: copy sign of a number +@item @code{coshq}: hyperbolic cosine function +@item @code{cosq}: cosine function +@item @code{erfq}: error function +@item @code{erfcq}: complementary error function +@item @code{expq}: exponential function +@item @code{expm1q}: exponential minus 1 function +@need 800 +@item @code{fabsq}: absolute value function +@item @code{fdimq}: positive difference function +@item @code{finiteq}: check finiteness of value +@item @code{floorq}: floor value function +@item @code{fmaq}: fused multiply and add +@item @code{fmaxq}: determine maximum of two values +@item @code{fminq}: determine minimum of two values +@item @code{fmodq}: remainder value function +@item @code{frexpq}: extract mantissa and exponent +@item @code{hypotq}: Eucledian distance function +@item @code{ilogbq}: get exponent of the value +@item @code{isinfq}: check for infinity +@item @code{isnanq}: check for not a number +@item @code{j0q}: Bessel function of the first kind, first order +@item @code{j1q}: Bessel function of the first kind, second order +@item @code{jnq}: Bessel function of the first kind, @var{n}-th order +@item @code{ldexpq}: load exponent of the value +@item @code{lgammaq}: logarithmic gamma function +@item @code{llrintq}: round to nearest integer value +@item @code{llroundq}: round to nearest integer value away from zero +@item @code{logq}: natural logarithm function +@item @code{log10q}: base 10 logarithm function +@item @code{log1pq}: compute natural logarithm of the value plus one +@item @code{log2q}: base 2 logarithm function +@need 800 +@item @code{lrintq}: round to nearest integer value +@item @code{lroundq}: round to nearest integer value away from zero +@item @code{modfq}: decompose the floating-point number +@item @code{nanq}: return quiet NaN +@item @code{nearbyintq}: round to nearest integer +@item @code{nextafterq}: next representable floating-point number +@item @code{powq}: power function +@item @code{remainderq}: remainder function +@item @code{remquoq}: remainder and part of quotient +@item @code{rintq}: round-to-nearest integral value +@item @code{roundq}: round-to-nearest integral value, return @code{__float128} +@item @code{scalblnq}: compute exponent using @code{FLT_RADIX} +@item @code{scalbnq}: compute exponent using @code{FLT_RADIX} +@item @code{signbitq}: return sign bit +@item @code{sincosq}: calculate sine and cosine simulataneously +@item @code{sinhq}: hyperbolic sine function +@item @code{sinq}: sine function +@item @code{sqrtq}: square root function +@item @code{tanq}: tangent function +@item @code{tanhq}: hyperbolic tangent function +@need 800 +@item @code{tgammaq}: true gamma function +@item @code{truncq}: round to integer, towards zero +@item @code{y0q}: Bessel function of the second kind, first order +@item @code{y1q}: Bessel function of the second kind, second order +@item @code{ynq}: Bessel function of the second kind, @var{n}-th order +@item @code{cabsq} complex absolute value function +@item @code{cargq}: calculate the argument +@item @code{cimagq} imaginary part of complex number +@item @code{crealq}: real part of complex number +@item @code{cacoshq}: complex arc hyperbolic cosine function +@item @code{cacosq}: complex arc cosine function +@item @code{casinhq}: complex arc hyperbolic sine function +@item @code{casinq}: complex arc sine function +@item @code{catanhq}: complex arc hyperbolic tangent function +@item @code{catanq}: complex arc tangent function +@item @code{ccosq} complex cosine function: +@item @code{ccoshq}: complex hyperbolic cosine function +@item @code{cexpq}: complex exponential function +@need 800 +@item @code{cexpiq}: computes the exponential function of ``i'' times a + real value +@item @code{clogq}: complex natural logarithm +@item @code{clog10q}: complex base 10 logarithm +@item @code{conjq}: complex conjugate function +@item @code{cpowq}: complex power function +@item @code{cprojq}: project into Riemann Sphere +@item @code{csinq}: complex sine function +@item @code{csinhq}: complex hyperbolic sine function +@item @code{csqrtq}: complex square root +@item @code{ctanq}: complex tangent function +@item @code{ctanhq}: complex hyperbolic tangent function +@end table + + +@c --------------------------------------------------------------------- +@c I/O routines +@c --------------------------------------------------------------------- + +@node I/O Library Routines +@chapter I/O Library Routines + +@menu +* @code{strtoflt128}: strtoflt128, Convert from string +* @code{quadmath_snprintf}: quadmath_snprintf, Convert to string +@end menu + + +@node strtoflt128 +@section @code{strtoflt128} --- Convert from string + +The function @code{dmath_strtopQ} converts a string into a +@code{__float128} number. + +@table @asis +@item Syntax +@code{__float128 strtoflt128 (const char *s, char **sp)} + +@item @emph{Arguments}: +@multitable @columnfractions .15 .70 +@item @var{s} @tab input string +@item @var{sp} @tab the address of the next character in the string +@end multitable + +The argument @var{sp} contains, if not @code{NULL}, the address of the +next character following the parts of the string, which have been read. + +@item Example +@smallexample +#include <quadmath.h> + +int main () +@{ + __float128 r; + + r = strtoflt128 ("1.2345678", NULL); + + return 0; +@} +@end smallexample +@end table + + +@node quadmath_snprintf +@section @code{quadmath_snprintf} --- Convert to string + +The function @code{quadmath_snprintf} converts a @code{__float128} floating-point +number into a string. It is a specialized alternative to @code{snprintf}, where +the format string is restricted to a single conversion specifier with @code{Q} +modifier and conversion specifier @code{e}, @code{E}, @code{f}, @code{F}, @code{g}, +@code{G}, @code{a} or @code{A}, with no extra characters before or after the +conversion specifier. The @code{%m$} or @code{*m$} style must not be used in +the format. + +@table @asis +@item Syntax +@code{int quadmath_snprintf (char *s, size_t size, const char *format, ...)} + +@item @emph{Arguments}: +@multitable @columnfractions .15 .70 +@item @var{s} @tab output string +@item @var{size} @tab byte size of the string, including tailing NUL +@item @var{format} @tab conversion specifier string +@end multitable + +@item Example +@smallexample +#include <quadmath.h> +#include <stdlib.h> +#include <stdio.h> + +int main () +@{ + __float128 r; + int prec = 20; + int width = 46; + char buf[128]; + + r = 2.0q; + r = sqrtq (r); + int n = quadmath_snprintf (buf, sizeof buf, "%+-#*.20Qe", width, r); + if ((size_t) n < sizeof buf) + printf ("%s\n", buf); + /* Prints: +1.41421356237309504880e+00 */ + quadmath_snprintf (buf, sizeof buf, "%Qa", r); + if ((size_t) n < sizeof buf) + printf ("%s\n", buf); + /* Prints: 0x1.6a09e667f3bcc908b2fb1366ea96p+0 */ + n = quadmath_snprintf (NULL, 0, "%+-#46.*Qe", prec, r); + if (n > -1) + @{ + char *str = malloc (n + 1); + if (str) + @{ + quadmath_snprintf (str, n + 1, "%+-#46.*Qe", prec, r); + printf ("%s\n", str); + /* Prints: +1.41421356237309504880e+00 */ + @} + free (str); + @} + return 0; +@} +@end smallexample + +@end table + +On some targets when supported by the C library hooks are installed +for @code{printf} family of functions, so that @code{printf ("%Qe", 1.2Q);} +etc.@: works too. + + +@c --------------------------------------------------------------------- +@c GNU Free Documentation License +@c --------------------------------------------------------------------- + +@include fdl.texi + +@c --------------------------------------------------------------------- +@c Reporting Bugs +@c --------------------------------------------------------------------- + +@c For BUGURL +@include libquadmath-vers.texi + +@node Reporting Bugs +@chapter Reporting Bugs + +Bugs in the GCC Quad-Precision Math Library implementation should be +reported via @value{BUGURL}. + + +@c --------------------------------------------------------------------- +@c Index +@c --------------------------------------------------------------------- + +@c @node Index +@c @unnumbered Index +@c +@c @printindex cp + +@bye diff --git a/libquadmath/libtool-version b/libquadmath/libtool-version new file mode 100644 index 000000000..d05cf4241 --- /dev/null +++ b/libquadmath/libtool-version @@ -0,0 +1,6 @@ +# This file is used to maintain libtool version info for libgfortran. +# See the libtool manual to understand the meaning of the fields. +# This is a separate file so that version updates don't involve re-running +# automake. +# CURRENT:REVISION:AGE +0:0:0 diff --git a/libquadmath/math/acoshq.c b/libquadmath/math/acoshq.c new file mode 100644 index 000000000..b0a1e4e54 --- /dev/null +++ b/libquadmath/math/acoshq.c @@ -0,0 +1,59 @@ +/* e_acoshl.c -- long double version of e_acosh.c. + * Conversion to long double by Jakub Jelinek, jj@ultra.linux.cz. + */ + +/* + * ==================================================== + * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. + * + * Developed at SunPro, a Sun Microsystems, Inc. business. + * Permission to use, copy, modify, and distribute this + * software is freely granted, provided that this notice + * is preserved. + * ==================================================== + */ + +/* __ieee754_acoshl(x) + * Method : + * Based on + * acoshl(x) = logl [ x + sqrtl(x*x-1) ] + * we have + * acoshl(x) := logl(x)+ln2, if x is large; else + * acoshl(x) := logl(2x-1/(sqrtl(x*x-1)+x)) if x>2; else + * acoshl(x) := log1pl(t+sqrtl(2.0*t+t*t)); where t=x-1. + * + * Special cases: + * acoshl(x) is NaN with signal if x<1. + * acoshl(NaN) is NaN without signal. + */ + +#include "quadmath-imp.h" + +static const __float128 +one = 1.0Q, +ln2 = 0.6931471805599453094172321214581766Q; + +__float128 +acoshq (__float128 x) +{ + __float128 t; + uint64_t lx; + int64_t hx; + GET_FLT128_WORDS64(hx,lx,x); + if(hx<0x3fff000000000000LL) { /* x < 1 */ + return (x-x)/(x-x); + } else if(hx >=0x4035000000000000LL) { /* x > 2**54 */ + if(hx >=0x7fff000000000000LL) { /* x is inf of NaN */ + return x+x; + } else + return logq(x)+ln2; /* acoshl(huge)=logl(2x) */ + } else if(((hx-0x3fff000000000000LL)|lx)==0) { + return 0.0Q; /* acosh(1) = 0 */ + } else if (hx > 0x4000000000000000LL) { /* 2**28 > x > 2 */ + t=x*x; + return logq(2.0Q*x-one/(x+sqrtq(t-one))); + } else { /* 1<x<2 */ + t = x-one; + return log1pq(t+sqrtq(2.0Q*t+t*t)); + } +} diff --git a/libquadmath/math/acosq.c b/libquadmath/math/acosq.c new file mode 100644 index 000000000..a8a361d23 --- /dev/null +++ b/libquadmath/math/acosq.c @@ -0,0 +1,317 @@ +/* + * ==================================================== + * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. + * + * Developed at SunPro, a Sun Microsystems, Inc. business. + * Permission to use, copy, modify, and distribute this + * software is freely granted, provided that this notice + * is preserved. + * ==================================================== + */ + +/* + __float128 expansions are + Copyright (C) 2001 Stephen L. Moshier <moshier@na-net.ornl.gov> + and are incorporated herein by permission of the author. The author + reserves the right to distribute this material elsewhere under different + copying permissions. These modifications are distributed here under + the following terms: + + This library is free software; you can redistribute it and/or + modify it under the terms of the GNU Lesser General Public + License as published by the Free Software Foundation; either + version 2.1 of the License, or (at your option) any later version. + + This library is distributed in the hope that it will be useful, + but WITHOUT ANY WARRANTY; without even the implied warranty of + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + Lesser General Public License for more details. + + You should have received a copy of the GNU Lesser General Public + License along with this library; if not, write to the Free Software + Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA */ + +/* __ieee754_acosl(x) + * Method : + * acos(x) = pi/2 - asin(x) + * acos(-x) = pi/2 + asin(x) + * For |x| <= 0.375 + * acos(x) = pi/2 - asin(x) + * Between .375 and .5 the approximation is + * acos(0.4375 + x) = acos(0.4375) + x P(x) / Q(x) + * Between .5 and .625 the approximation is + * acos(0.5625 + x) = acos(0.5625) + x rS(x) / sS(x) + * For x > 0.625, + * acos(x) = 2 asin(sqrt((1-x)/2)) + * computed with an extended precision square root in the leading term. + * For x < -0.625 + * acos(x) = pi - 2 asin(sqrt((1-|x|)/2)) + * + * Special cases: + * if x is NaN, return x itself; + * if |x|>1, return NaN with invalid signal. + * + * Functions needed: __ieee754_sqrtl. + */ + +#include "quadmath-imp.h" + +static const __float128 + one = 1.0Q, + pio2_hi = 1.5707963267948966192313216916397514420986Q, + pio2_lo = 4.3359050650618905123985220130216759843812E-35Q, + + /* acos(0.5625 + x) = acos(0.5625) + x rS(x) / sS(x) + -0.0625 <= x <= 0.0625 + peak relative error 3.3e-35 */ + + rS0 = 5.619049346208901520945464704848780243887E0Q, + rS1 = -4.460504162777731472539175700169871920352E1Q, + rS2 = 1.317669505315409261479577040530751477488E2Q, + rS3 = -1.626532582423661989632442410808596009227E2Q, + rS4 = 3.144806644195158614904369445440583873264E1Q, + rS5 = 9.806674443470740708765165604769099559553E1Q, + rS6 = -5.708468492052010816555762842394927806920E1Q, + rS7 = -1.396540499232262112248553357962639431922E1Q, + rS8 = 1.126243289311910363001762058295832610344E1Q, + rS9 = 4.956179821329901954211277873774472383512E-1Q, + rS10 = -3.313227657082367169241333738391762525780E-1Q, + + sS0 = -4.645814742084009935700221277307007679325E0Q, + sS1 = 3.879074822457694323970438316317961918430E1Q, + sS2 = -1.221986588013474694623973554726201001066E2Q, + sS3 = 1.658821150347718105012079876756201905822E2Q, + sS4 = -4.804379630977558197953176474426239748977E1Q, + sS5 = -1.004296417397316948114344573811562952793E2Q, + sS6 = 7.530281592861320234941101403870010111138E1Q, + sS7 = 1.270735595411673647119592092304357226607E1Q, + sS8 = -1.815144839646376500705105967064792930282E1Q, + sS9 = -7.821597334910963922204235247786840828217E-2Q, + /* 1.000000000000000000000000000000000000000E0 */ + + acosr5625 = 9.7338991014954640492751132535550279812151E-1Q, + pimacosr5625 = 2.1682027434402468335351320579240000860757E0Q, + + /* acos(0.4375 + x) = acos(0.4375) + x rS(x) / sS(x) + -0.0625 <= x <= 0.0625 + peak relative error 2.1e-35 */ + + P0 = 2.177690192235413635229046633751390484892E0Q, + P1 = -2.848698225706605746657192566166142909573E1Q, + P2 = 1.040076477655245590871244795403659880304E2Q, + P3 = -1.400087608918906358323551402881238180553E2Q, + P4 = 2.221047917671449176051896400503615543757E1Q, + P5 = 9.643714856395587663736110523917499638702E1Q, + P6 = -5.158406639829833829027457284942389079196E1Q, + P7 = -1.578651828337585944715290382181219741813E1Q, + P8 = 1.093632715903802870546857764647931045906E1Q, + P9 = 5.448925479898460003048760932274085300103E-1Q, + P10 = -3.315886001095605268470690485170092986337E-1Q, + Q0 = -1.958219113487162405143608843774587557016E0Q, + Q1 = 2.614577866876185080678907676023269360520E1Q, + Q2 = -9.990858606464150981009763389881793660938E1Q, + Q3 = 1.443958741356995763628660823395334281596E2Q, + Q4 = -3.206441012484232867657763518369723873129E1Q, + Q5 = -1.048560885341833443564920145642588991492E2Q, + Q6 = 6.745883931909770880159915641984874746358E1Q, + Q7 = 1.806809656342804436118449982647641392951E1Q, + Q8 = -1.770150690652438294290020775359580915464E1Q, + Q9 = -5.659156469628629327045433069052560211164E-1Q, + /* 1.000000000000000000000000000000000000000E0 */ + + acosr4375 = 1.1179797320499710475919903296900511518755E0Q, + pimacosr4375 = 2.0236129215398221908706530535894517323217E0Q, + + /* asin(x) = x + x^3 pS(x^2) / qS(x^2) + 0 <= x <= 0.5 + peak relative error 1.9e-35 */ + pS0 = -8.358099012470680544198472400254596543711E2Q, + pS1 = 3.674973957689619490312782828051860366493E3Q, + pS2 = -6.730729094812979665807581609853656623219E3Q, + pS3 = 6.643843795209060298375552684423454077633E3Q, + pS4 = -3.817341990928606692235481812252049415993E3Q, + pS5 = 1.284635388402653715636722822195716476156E3Q, + pS6 = -2.410736125231549204856567737329112037867E2Q, + pS7 = 2.219191969382402856557594215833622156220E1Q, + pS8 = -7.249056260830627156600112195061001036533E-1Q, + pS9 = 1.055923570937755300061509030361395604448E-3Q, + + qS0 = -5.014859407482408326519083440151745519205E3Q, + qS1 = 2.430653047950480068881028451580393430537E4Q, + qS2 = -4.997904737193653607449250593976069726962E4Q, + qS3 = 5.675712336110456923807959930107347511086E4Q, + qS4 = -3.881523118339661268482937768522572588022E4Q, + qS5 = 1.634202194895541569749717032234510811216E4Q, + qS6 = -4.151452662440709301601820849901296953752E3Q, + qS7 = 5.956050864057192019085175976175695342168E2Q, + qS8 = -4.175375777334867025769346564600396877176E1Q; + /* 1.000000000000000000000000000000000000000E0 */ + +__float128 +acosq (__float128 x) +{ + __float128 z, r, w, p, q, s, t, f2; + int32_t ix, sign; + ieee854_float128 u; + + u.value = x; + sign = u.words32.w0; + ix = sign & 0x7fffffff; + u.words32.w0 = ix; /* |x| */ + if (ix >= 0x3fff0000) /* |x| >= 1 */ + { + if (ix == 0x3fff0000 + && (u.words32.w1 | u.words32.w2 | u.words32.w3) == 0) + { /* |x| == 1 */ + if ((sign & 0x80000000) == 0) + return 0.0; /* acos(1) = 0 */ + else + return (2.0 * pio2_hi) + (2.0 * pio2_lo); /* acos(-1)= pi */ + } + return (x - x) / (x - x); /* acos(|x| > 1) is NaN */ + } + else if (ix < 0x3ffe0000) /* |x| < 0.5 */ + { + if (ix < 0x3fc60000) /* |x| < 2**-57 */ + return pio2_hi + pio2_lo; + if (ix < 0x3ffde000) /* |x| < .4375 */ + { + /* Arcsine of x. */ + z = x * x; + p = (((((((((pS9 * z + + pS8) * z + + pS7) * z + + pS6) * z + + pS5) * z + + pS4) * z + + pS3) * z + + pS2) * z + + pS1) * z + + pS0) * z; + q = (((((((( z + + qS8) * z + + qS7) * z + + qS6) * z + + qS5) * z + + qS4) * z + + qS3) * z + + qS2) * z + + qS1) * z + + qS0; + r = x + x * p / q; + z = pio2_hi - (r - pio2_lo); + return z; + } + /* .4375 <= |x| < .5 */ + t = u.value - 0.4375Q; + p = ((((((((((P10 * t + + P9) * t + + P8) * t + + P7) * t + + P6) * t + + P5) * t + + P4) * t + + P3) * t + + P2) * t + + P1) * t + + P0) * t; + + q = (((((((((t + + Q9) * t + + Q8) * t + + Q7) * t + + Q6) * t + + Q5) * t + + Q4) * t + + Q3) * t + + Q2) * t + + Q1) * t + + Q0; + r = p / q; + if (sign & 0x80000000) + r = pimacosr4375 - r; + else + r = acosr4375 + r; + return r; + } + else if (ix < 0x3ffe4000) /* |x| < 0.625 */ + { + t = u.value - 0.5625Q; + p = ((((((((((rS10 * t + + rS9) * t + + rS8) * t + + rS7) * t + + rS6) * t + + rS5) * t + + rS4) * t + + rS3) * t + + rS2) * t + + rS1) * t + + rS0) * t; + + q = (((((((((t + + sS9) * t + + sS8) * t + + sS7) * t + + sS6) * t + + sS5) * t + + sS4) * t + + sS3) * t + + sS2) * t + + sS1) * t + + sS0; + if (sign & 0x80000000) + r = pimacosr5625 - p / q; + else + r = acosr5625 + p / q; + return r; + } + else + { /* |x| >= .625 */ + z = (one - u.value) * 0.5; + s = sqrtq (z); + /* Compute an extended precision square root from + the Newton iteration s -> 0.5 * (s + z / s). + The change w from s to the improved value is + w = 0.5 * (s + z / s) - s = (s^2 + z)/2s - s = (z - s^2)/2s. + Express s = f1 + f2 where f1 * f1 is exactly representable. + w = (z - s^2)/2s = (z - f1^2 - 2 f1 f2 - f2^2)/2s . + s + w has extended precision. */ + u.value = s; + u.words32.w2 = 0; + u.words32.w3 = 0; + f2 = s - u.value; + w = z - u.value * u.value; + w = w - 2.0 * u.value * f2; + w = w - f2 * f2; + w = w / (2.0 * s); + /* Arcsine of s. */ + p = (((((((((pS9 * z + + pS8) * z + + pS7) * z + + pS6) * z + + pS5) * z + + pS4) * z + + pS3) * z + + pS2) * z + + pS1) * z + + pS0) * z; + q = (((((((( z + + qS8) * z + + qS7) * z + + qS6) * z + + qS5) * z + + qS4) * z + + qS3) * z + + qS2) * z + + qS1) * z + + qS0; + r = s + (w + s * p / q); + + if (sign & 0x80000000) + w = pio2_hi + (pio2_lo - r); + else + w = r; + return 2.0 * w; + } +} diff --git a/libquadmath/math/asinhq.c b/libquadmath/math/asinhq.c new file mode 100644 index 000000000..be044dcd8 --- /dev/null +++ b/libquadmath/math/asinhq.c @@ -0,0 +1,71 @@ +/* s_asinhl.c -- long double version of s_asinh.c. + * Conversion to long double by Ulrich Drepper, + * Cygnus Support, drepper@cygnus.com. + */ + +/* + * ==================================================== + * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. + * + * Developed at SunPro, a Sun Microsystems, Inc. business. + * Permission to use, copy, modify, and distribute this + * software is freely granted, provided that this notice + * is preserved. + * ==================================================== + */ + +/* asinhl(x) + * Method : + * Based on + * asinhl(x) = signl(x) * logl [ |x| + sqrtl(x*x+1) ] + * we have + * asinhl(x) := x if 1+x*x=1, + * := signl(x)*(logl(x)+ln2)) for large |x|, else + * := signl(x)*logl(2|x|+1/(|x|+sqrtl(x*x+1))) if|x|>2, else + * := signl(x)*log1pl(|x| + x^2/(1 + sqrtl(1+x^2))) + */ + +#include "quadmath-imp.h" + +static const __float128 + one = 1.0Q, + ln2 = 6.931471805599453094172321214581765681e-1Q, + huge = 1.0e+4900Q; + +__float128 +asinhq (__float128 x) +{ + __float128 t, w; + int32_t ix, sign; + ieee854_float128 u; + + u.value = x; + sign = u.words32.w0; + ix = sign & 0x7fffffff; + if (ix == 0x7fff0000) + return x + x; /* x is inf or NaN */ + if (ix < 0x3fc70000) + { /* |x| < 2^ -56 */ + if (huge + x > one) + return x; /* return x inexact except 0 */ + } + u.words32.w0 = ix; + if (ix > 0x40350000) + { /* |x| > 2 ^ 54 */ + w = logq (u.value) + ln2; + } + else if (ix >0x40000000) + { /* 2^ 54 > |x| > 2.0 */ + t = u.value; + w = logq (2.0 * t + one / (sqrtq (x * x + one) + t)); + } + else + { /* 2.0 > |x| > 2 ^ -56 */ + t = x * x; + w = log1pq (u.value + t / (one + sqrtq (one + t))); + } + if (sign & 0x80000000) + return -w; + else + return w; +} diff --git a/libquadmath/math/asinq.c b/libquadmath/math/asinq.c new file mode 100644 index 000000000..d4321a58e --- /dev/null +++ b/libquadmath/math/asinq.c @@ -0,0 +1,254 @@ +/* + * ==================================================== + * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. + * + * Developed at SunPro, a Sun Microsystems, Inc. business. + * Permission to use, copy, modify, and distribute this + * software is freely granted, provided that this notice + * is preserved. + * ==================================================== + */ + +/* + __float128 expansions are + Copyright (C) 2001 Stephen L. Moshier <moshier@na-net.ornl.gov> + and are incorporated herein by permission of the author. The author + reserves the right to distribute this material elsewhere under different + copying permissions. These modifications are distributed here under the + following terms: + + This library is free software; you can redistribute it and/or + modify it under the terms of the GNU Lesser General Public + License as published by the Free Software Foundation; either + version 2.1 of the License, or (at your option) any later version. + + This library is distributed in the hope that it will be useful, + but WITHOUT ANY WARRANTY; without even the implied warranty of + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + Lesser General Public License for more details. + + You should have received a copy of the GNU Lesser General Public + License along with this library; if not, write to the Free Software + Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA */ + +/* __ieee754_asin(x) + * Method : + * Since asin(x) = x + x^3/6 + x^5*3/40 + x^7*15/336 + ... + * we approximate asin(x) on [0,0.5] by + * asin(x) = x + x*x^2*R(x^2) + * Between .5 and .625 the approximation is + * asin(0.5625 + x) = asin(0.5625) + x rS(x) / sS(x) + * For x in [0.625,1] + * asin(x) = pi/2-2*asin(sqrt((1-x)/2)) + * Let y = (1-x), z = y/2, s := sqrt(z), and pio2_hi+pio2_lo=pi/2; + * then for x>0.98 + * asin(x) = pi/2 - 2*(s+s*z*R(z)) + * = pio2_hi - (2*(s+s*z*R(z)) - pio2_lo) + * For x<=0.98, let pio4_hi = pio2_hi/2, then + * f = hi part of s; + * c = sqrt(z) - f = (z-f*f)/(s+f) ...f+c=sqrt(z) + * and + * asin(x) = pi/2 - 2*(s+s*z*R(z)) + * = pio4_hi+(pio4-2s)-(2s*z*R(z)-pio2_lo) + * = pio4_hi+(pio4-2f)-(2s*z*R(z)-(pio2_lo+2c)) + * + * Special cases: + * if x is NaN, return x itself; + * if |x|>1, return NaN with invalid signal. + * + */ + + +#include "quadmath-imp.h" + +static const __float128 + one = 1.0Q, + huge = 1.0e+4932Q, + pio2_hi = 1.5707963267948966192313216916397514420986Q, + pio2_lo = 4.3359050650618905123985220130216759843812E-35Q, + pio4_hi = 7.8539816339744830961566084581987569936977E-1Q, + + /* coefficient for R(x^2) */ + + /* asin(x) = x + x^3 pS(x^2) / qS(x^2) + 0 <= x <= 0.5 + peak relative error 1.9e-35 */ + pS0 = -8.358099012470680544198472400254596543711E2Q, + pS1 = 3.674973957689619490312782828051860366493E3Q, + pS2 = -6.730729094812979665807581609853656623219E3Q, + pS3 = 6.643843795209060298375552684423454077633E3Q, + pS4 = -3.817341990928606692235481812252049415993E3Q, + pS5 = 1.284635388402653715636722822195716476156E3Q, + pS6 = -2.410736125231549204856567737329112037867E2Q, + pS7 = 2.219191969382402856557594215833622156220E1Q, + pS8 = -7.249056260830627156600112195061001036533E-1Q, + pS9 = 1.055923570937755300061509030361395604448E-3Q, + + qS0 = -5.014859407482408326519083440151745519205E3Q, + qS1 = 2.430653047950480068881028451580393430537E4Q, + qS2 = -4.997904737193653607449250593976069726962E4Q, + qS3 = 5.675712336110456923807959930107347511086E4Q, + qS4 = -3.881523118339661268482937768522572588022E4Q, + qS5 = 1.634202194895541569749717032234510811216E4Q, + qS6 = -4.151452662440709301601820849901296953752E3Q, + qS7 = 5.956050864057192019085175976175695342168E2Q, + qS8 = -4.175375777334867025769346564600396877176E1Q, + /* 1.000000000000000000000000000000000000000E0 */ + + /* asin(0.5625 + x) = asin(0.5625) + x rS(x) / sS(x) + -0.0625 <= x <= 0.0625 + peak relative error 3.3e-35 */ + rS0 = -5.619049346208901520945464704848780243887E0Q, + rS1 = 4.460504162777731472539175700169871920352E1Q, + rS2 = -1.317669505315409261479577040530751477488E2Q, + rS3 = 1.626532582423661989632442410808596009227E2Q, + rS4 = -3.144806644195158614904369445440583873264E1Q, + rS5 = -9.806674443470740708765165604769099559553E1Q, + rS6 = 5.708468492052010816555762842394927806920E1Q, + rS7 = 1.396540499232262112248553357962639431922E1Q, + rS8 = -1.126243289311910363001762058295832610344E1Q, + rS9 = -4.956179821329901954211277873774472383512E-1Q, + rS10 = 3.313227657082367169241333738391762525780E-1Q, + + sS0 = -4.645814742084009935700221277307007679325E0Q, + sS1 = 3.879074822457694323970438316317961918430E1Q, + sS2 = -1.221986588013474694623973554726201001066E2Q, + sS3 = 1.658821150347718105012079876756201905822E2Q, + sS4 = -4.804379630977558197953176474426239748977E1Q, + sS5 = -1.004296417397316948114344573811562952793E2Q, + sS6 = 7.530281592861320234941101403870010111138E1Q, + sS7 = 1.270735595411673647119592092304357226607E1Q, + sS8 = -1.815144839646376500705105967064792930282E1Q, + sS9 = -7.821597334910963922204235247786840828217E-2Q, + /* 1.000000000000000000000000000000000000000E0 */ + + asinr5625 = 5.9740641664535021430381036628424864397707E-1Q; + + + +__float128 +asinq (__float128 x) +{ + __float128 t = 0; + __float128 w, p, q, c, r, s; + int32_t ix, sign, flag; + ieee854_float128 u; + + flag = 0; + u.value = x; + sign = u.words32.w0; + ix = sign & 0x7fffffff; + u.words32.w0 = ix; /* |x| */ + if (ix >= 0x3fff0000) /* |x|>= 1 */ + { + if (ix == 0x3fff0000 + && (u.words32.w1 | u.words32.w2 | u.words32.w3) == 0) + /* asin(1)=+-pi/2 with inexact */ + return x * pio2_hi + x * pio2_lo; + return (x - x) / (x - x); /* asin(|x|>1) is NaN */ + } + else if (ix < 0x3ffe0000) /* |x| < 0.5 */ + { + if (ix < 0x3fc60000) /* |x| < 2**-57 */ + { + if (huge + x > one) + return x; /* return x with inexact if x!=0 */ + } + else + { + t = x * x; + /* Mark to use pS, qS later on. */ + flag = 1; + } + } + else if (ix < 0x3ffe4000) /* 0.625 */ + { + t = u.value - 0.5625; + p = ((((((((((rS10 * t + + rS9) * t + + rS8) * t + + rS7) * t + + rS6) * t + + rS5) * t + + rS4) * t + + rS3) * t + + rS2) * t + + rS1) * t + + rS0) * t; + + q = ((((((((( t + + sS9) * t + + sS8) * t + + sS7) * t + + sS6) * t + + sS5) * t + + sS4) * t + + sS3) * t + + sS2) * t + + sS1) * t + + sS0; + t = asinr5625 + p / q; + if ((sign & 0x80000000) == 0) + return t; + else + return -t; + } + else + { + /* 1 > |x| >= 0.625 */ + w = one - u.value; + t = w * 0.5; + } + + p = (((((((((pS9 * t + + pS8) * t + + pS7) * t + + pS6) * t + + pS5) * t + + pS4) * t + + pS3) * t + + pS2) * t + + pS1) * t + + pS0) * t; + + q = (((((((( t + + qS8) * t + + qS7) * t + + qS6) * t + + qS5) * t + + qS4) * t + + qS3) * t + + qS2) * t + + qS1) * t + + qS0; + + if (flag) /* 2^-57 < |x| < 0.5 */ + { + w = p / q; + return x + x * w; + } + + s = sqrtq (t); + if (ix >= 0x3ffef333) /* |x| > 0.975 */ + { + w = p / q; + t = pio2_hi - (2.0 * (s + s * w) - pio2_lo); + } + else + { + u.value = s; + u.words32.w3 = 0; + u.words32.w2 = 0; + w = u.value; + c = (t - w * w) / (s + w); + r = p / q; + p = 2.0 * s * r - (pio2_lo - 2.0 * c); + q = pio4_hi - 2.0 * w; + t = pio4_hi - (p - q); + } + + if ((sign & 0x80000000) == 0) + return t; + else + return -t; +} diff --git a/libquadmath/math/atan2q.c b/libquadmath/math/atan2q.c new file mode 100644 index 000000000..fbe64d62b --- /dev/null +++ b/libquadmath/math/atan2q.c @@ -0,0 +1,120 @@ +/* e_atan2l.c -- long double version of e_atan2.c. + * Conversion to long double by Jakub Jelinek, jj@ultra.linux.cz. + */ + +/* + * ==================================================== + * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. + * + * Developed at SunPro, a Sun Microsystems, Inc. business. + * Permission to use, copy, modify, and distribute this + * software is freely granted, provided that this notice + * is preserved. + * ==================================================== + */ + +/* atan2q(y,x) + * Method : + * 1. Reduce y to positive by atan2q(y,x)=-atan2q(-y,x). + * 2. Reduce x to positive by (if x and y are unexceptional): + * ARG (x+iy) = arctan(y/x) ... if x > 0, + * ARG (x+iy) = pi - arctan[y/(-x)] ... if x < 0, + * + * Special cases: + * + * ATAN2((anything), NaN ) is NaN; + * ATAN2(NAN , (anything) ) is NaN; + * ATAN2(+-0, +(anything but NaN)) is +-0 ; + * ATAN2(+-0, -(anything but NaN)) is +-pi ; + * ATAN2(+-(anything but 0 and NaN), 0) is +-pi/2; + * ATAN2(+-(anything but INF and NaN), +INF) is +-0 ; + * ATAN2(+-(anything but INF and NaN), -INF) is +-pi; + * ATAN2(+-INF,+INF ) is +-pi/4 ; + * ATAN2(+-INF,-INF ) is +-3pi/4; + * ATAN2(+-INF, (anything but,0,NaN, and INF)) is +-pi/2; + * + * Constants: + * The hexadecimal values are the intended ones for the following + * constants. The decimal values may be used, provided that the + * compiler will convert from decimal to binary accurately enough + * to produce the hexadecimal values shown. + */ + +#include "quadmath-imp.h" + +static const __float128 +tiny = 1.0e-4900Q, +zero = 0.0, +pi_o_4 = 7.85398163397448309615660845819875699e-01Q, /* 3ffe921fb54442d18469898cc51701b8 */ +pi_o_2 = 1.57079632679489661923132169163975140e+00Q, /* 3fff921fb54442d18469898cc51701b8 */ +pi = 3.14159265358979323846264338327950280e+00Q, /* 4000921fb54442d18469898cc51701b8 */ +pi_lo = 8.67181013012378102479704402604335225e-35Q; /* 3f8dcd129024e088a67cc74020bbea64 */ + +__float128 +atan2q (__float128 y, __float128 x) +{ + __float128 z; + int64_t k,m,hx,hy,ix,iy; + uint64_t lx,ly; + + GET_FLT128_WORDS64(hx,lx,x); + ix = hx&0x7fffffffffffffffLL; + GET_FLT128_WORDS64(hy,ly,y); + iy = hy&0x7fffffffffffffffLL; + if(((ix|((lx|-lx)>>63))>0x7fff000000000000LL)|| + ((iy|((ly|-ly)>>63))>0x7fff000000000000LL)) /* x or y is NaN */ + return x+y; + if(((hx-0x3fff000000000000LL)|lx)==0) return atanq(y); /* x=1.0Q */ + m = ((hy>>63)&1)|((hx>>62)&2); /* 2*sign(x)+sign(y) */ + + /* when y = 0 */ + if((iy|ly)==0) { + switch(m) { + case 0: + case 1: return y; /* atan(+-0,+anything)=+-0 */ + case 2: return pi+tiny;/* atan(+0,-anything) = pi */ + case 3: return -pi-tiny;/* atan(-0,-anything) =-pi */ + } + } + /* when x = 0 */ + if((ix|lx)==0) return (hy<0)? -pi_o_2-tiny: pi_o_2+tiny; + + /* when x is INF */ + if(ix==0x7fff000000000000LL) { + if(iy==0x7fff000000000000LL) { + switch(m) { + case 0: return pi_o_4+tiny;/* atan(+INF,+INF) */ + case 1: return -pi_o_4-tiny;/* atan(-INF,+INF) */ + case 2: return 3.0Q*pi_o_4+tiny;/*atan(+INF,-INF)*/ + case 3: return -3.0Q*pi_o_4-tiny;/*atan(-INF,-INF)*/ + } + } else { + switch(m) { + case 0: return zero ; /* atan(+...,+INF) */ + case 1: return -zero ; /* atan(-...,+INF) */ + case 2: return pi+tiny ; /* atan(+...,-INF) */ + case 3: return -pi-tiny ; /* atan(-...,-INF) */ + } + } + } + /* when y is INF */ + if(iy==0x7fff000000000000LL) return (hy<0)? -pi_o_2-tiny: pi_o_2+tiny; + + /* compute y/x */ + k = (iy-ix)>>48; + if(k > 120) z=pi_o_2+0.5Q*pi_lo; /* |y/x| > 2**120 */ + else if(hx<0&&k<-120) z=0.0Q; /* |y|/x < -2**120 */ + else z=atanq(fabsq(y/x)); /* safe to do y/x */ + switch (m) { + case 0: return z ; /* atan(+,+) */ + case 1: { + uint64_t zh; + GET_FLT128_MSW64(zh,z); + SET_FLT128_MSW64(z,zh ^ 0x8000000000000000ULL); + } + return z ; /* atan(-,+) */ + case 2: return pi-(z-pi_lo);/* atan(+,-) */ + default: /* case 3 */ + return (z-pi_lo)-pi;/* atan(-,-) */ + } +} diff --git a/libquadmath/math/atanhq.c b/libquadmath/math/atanhq.c new file mode 100644 index 000000000..73db957d3 --- /dev/null +++ b/libquadmath/math/atanhq.c @@ -0,0 +1,66 @@ +/* s_atanhl.c -- __float128 version of s_atan.c. + * Conversion to __float128 by Ulrich Drepper, + * Cygnus Support, drepper@cygnus.com. + */ + +/* + * ==================================================== + * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. + * + * Developed at SunPro, a Sun Microsystems, Inc. business. + * Permission to use, copy, modify, and distribute this + * software is freely granted, provided that this notice + * is preserved. + * ==================================================== + */ + +/* __ieee754_atanhl(x) + * Method : + * 1.Reduced x to positive by atanh(-x) = -atanh(x) + * 2.For x>=0.5 + * 1 2x x + * atanhl(x) = --- * log(1 + -------) = 0.5 * log1p(2 * --------) + * 2 1 - x 1 - x + * + * For x<0.5 + * atanhl(x) = 0.5*log1pl(2x+2x*x/(1-x)) + * + * Special cases: + * atanhl(x) is NaN if |x| > 1 with signal; + * atanhl(NaN) is that NaN with no signal; + * atanhl(+-1) is +-INF with signal. + * + */ + +#include "quadmath-imp.h" + +static const __float128 one = 1.0Q, huge = 1e4900Q; +static const __float128 zero = 0.0Q; + +__float128 +atanhq (__float128 x) +{ + __float128 t; + uint32_t jx, ix; + ieee854_float128 u; + + u.value = x; + jx = u.words32.w0; + ix = jx & 0x7fffffff; + u.words32.w0 = ix; + if (ix >= 0x3fff0000) /* |x| >= 1.0 or infinity or NaN */ + { + if (u.value == one) + return x/zero; + else + return (x-x)/(x-x); + } + if(ix<0x3fc60000 && (huge+x)>zero) return x; /* x < 2^-57 */ + + if(ix<0x3ffe0000) { /* x < 0.5 */ + t = u.value+u.value; + t = 0.5*log1pq(t+t*u.value/(one-u.value)); + } else + t = 0.5*log1pq((u.value+u.value)/(one-u.value)); + if(jx & 0x80000000) return -t; else return t; +} diff --git a/libquadmath/math/atanq.c b/libquadmath/math/atanq.c new file mode 100644 index 000000000..cb38a340a --- /dev/null +++ b/libquadmath/math/atanq.c @@ -0,0 +1,231 @@ +/* s_atanl.c + * + * Inverse circular tangent for 128-bit __float128 precision + * (arctangent) + * + * + * + * SYNOPSIS: + * + * __float128 x, y, atanl(); + * + * y = atanl( x ); + * + * + * + * DESCRIPTION: + * + * Returns radian angle between -pi/2 and +pi/2 whose tangent is x. + * + * The function uses a rational approximation of the form + * t + t^3 P(t^2)/Q(t^2), optimized for |t| < 0.09375. + * + * The argument is reduced using the identity + * arctan x - arctan u = arctan ((x-u)/(1 + ux)) + * and an 83-entry lookup table for arctan u, with u = 0, 1/8, ..., 10.25. + * Use of the table improves the execution speed of the routine. + * + * + * + * ACCURACY: + * + * Relative error: + * arithmetic domain # trials peak rms + * IEEE -19, 19 4e5 1.7e-34 5.4e-35 + * + * + * WARNING: + * + * This program uses integer operations on bit fields of floating-point + * numbers. It does not work with data structures other than the + * structure assumed. + * + */ + +/* Copyright 2001 by Stephen L. Moshier <moshier@na-net.ornl.gov> + + This library is free software; you can redistribute it and/or + modify it under the terms of the GNU Lesser General Public + License as published by the Free Software Foundation; either + version 2.1 of the License, or (at your option) any later version. + + This library is distributed in the hope that it will be useful, + but WITHOUT ANY WARRANTY; without even the implied warranty of + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + Lesser General Public License for more details. + + You should have received a copy of the GNU Lesser General Public + License along with this library; if not, write to the Free Software + Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA */ + + +#include "quadmath-imp.h" + +/* arctan(k/8), k = 0, ..., 82 */ +static const __float128 atantbl[84] = { + 0.0000000000000000000000000000000000000000E0Q, + 1.2435499454676143503135484916387102557317E-1Q, /* arctan(0.125) */ + 2.4497866312686415417208248121127581091414E-1Q, + 3.5877067027057222039592006392646049977698E-1Q, + 4.6364760900080611621425623146121440202854E-1Q, + 5.5859931534356243597150821640166127034645E-1Q, + 6.4350110879328438680280922871732263804151E-1Q, + 7.1882999962162450541701415152590465395142E-1Q, + 7.8539816339744830961566084581987572104929E-1Q, + 8.4415398611317100251784414827164750652594E-1Q, + 8.9605538457134395617480071802993782702458E-1Q, + 9.4200004037946366473793717053459358607166E-1Q, + 9.8279372324732906798571061101466601449688E-1Q, + 1.0191413442663497346383429170230636487744E0Q, + 1.0516502125483736674598673120862998296302E0Q, + 1.0808390005411683108871567292171998202703E0Q, + 1.1071487177940905030170654601785370400700E0Q, + 1.1309537439791604464709335155363278047493E0Q, + 1.1525719972156675180401498626127513797495E0Q, + 1.1722738811284763866005949441337046149712E0Q, + 1.1902899496825317329277337748293183376012E0Q, + 1.2068173702852525303955115800565576303133E0Q, + 1.2220253232109896370417417439225704908830E0Q, + 1.2360594894780819419094519711090786987027E0Q, + 1.2490457723982544258299170772810901230778E0Q, + 1.2610933822524404193139408812473357720101E0Q, + 1.2722973952087173412961937498224804940684E0Q, + 1.2827408797442707473628852511364955306249E0Q, + 1.2924966677897852679030914214070816845853E0Q, + 1.3016288340091961438047858503666855921414E0Q, + 1.3101939350475556342564376891719053122733E0Q, + 1.3182420510168370498593302023271362531155E0Q, + 1.3258176636680324650592392104284756311844E0Q, + 1.3329603993374458675538498697331558093700E0Q, + 1.3397056595989995393283037525895557411039E0Q, + 1.3460851583802539310489409282517796256512E0Q, + 1.3521273809209546571891479413898128509842E0Q, + 1.3578579772154994751124898859640585287459E0Q, + 1.3633001003596939542892985278250991189943E0Q, + 1.3684746984165928776366381936948529556191E0Q, + 1.3734007669450158608612719264449611486510E0Q, + 1.3780955681325110444536609641291551522494E0Q, + 1.3825748214901258580599674177685685125566E0Q, + 1.3868528702577214543289381097042486034883E0Q, + 1.3909428270024183486427686943836432060856E0Q, + 1.3948567013423687823948122092044222644895E0Q, + 1.3986055122719575950126700816114282335732E0Q, + 1.4021993871854670105330304794336492676944E0Q, + 1.4056476493802697809521934019958079881002E0Q, + 1.4089588955564736949699075250792569287156E0Q, + 1.4121410646084952153676136718584891599630E0Q, + 1.4152014988178669079462550975833894394929E0Q, + 1.4181469983996314594038603039700989523716E0Q, + 1.4209838702219992566633046424614466661176E0Q, + 1.4237179714064941189018190466107297503086E0Q, + 1.4263547484202526397918060597281265695725E0Q, + 1.4288992721907326964184700745371983590908E0Q, + 1.4313562697035588982240194668401779312122E0Q, + 1.4337301524847089866404719096698873648610E0Q, + 1.4360250423171655234964275337155008780675E0Q, + 1.4382447944982225979614042479354815855386E0Q, + 1.4403930189057632173997301031392126865694E0Q, + 1.4424730991091018200252920599377292525125E0Q, + 1.4444882097316563655148453598508037025938E0Q, + 1.4464413322481351841999668424758804165254E0Q, + 1.4483352693775551917970437843145232637695E0Q, + 1.4501726582147939000905940595923466567576E0Q, + 1.4519559822271314199339700039142990228105E0Q, + 1.4536875822280323362423034480994649820285E0Q, + 1.4553696664279718992423082296859928222270E0Q, + 1.4570043196511885530074841089245667532358E0Q, + 1.4585935117976422128825857356750737658039E0Q, + 1.4601391056210009726721818194296893361233E0Q, + 1.4616428638860188872060496086383008594310E0Q, + 1.4631064559620759326975975316301202111560E0Q, + 1.4645314639038178118428450961503371619177E0Q, + 1.4659193880646627234129855241049975398470E0Q, + 1.4672716522843522691530527207287398276197E0Q, + 1.4685896086876430842559640450619880951144E0Q, + 1.4698745421276027686510391411132998919794E0Q, + 1.4711276743037345918528755717617308518553E0Q, + 1.4723501675822635384916444186631899205983E0Q, + 1.4735431285433308455179928682541563973416E0Q, /* arctan(10.25) */ + 1.5707963267948966192313216916397514420986E0Q /* pi/2 */ +}; + + +/* arctan t = t + t^3 p(t^2) / q(t^2) + |t| <= 0.09375 + peak relative error 5.3e-37 */ + +static const __float128 + p0 = -4.283708356338736809269381409828726405572E1Q, + p1 = -8.636132499244548540964557273544599863825E1Q, + p2 = -5.713554848244551350855604111031839613216E1Q, + p3 = -1.371405711877433266573835355036413750118E1Q, + p4 = -8.638214309119210906997318946650189640184E-1Q, + q0 = 1.285112506901621042780814422948906537959E2Q, + q1 = 3.361907253914337187957855834229672347089E2Q, + q2 = 3.180448303864130128268191635189365331680E2Q, + q3 = 1.307244136980865800160844625025280344686E2Q, + q4 = 2.173623741810414221251136181221172551416E1Q; + /* q5 = 1.000000000000000000000000000000000000000E0 */ + + +__float128 +atanq (__float128 x) +{ + int k, sign; + __float128 t, u, p, q; + ieee854_float128 s; + + s.value = x; + k = s.words32.w0; + if (k & 0x80000000) + sign = 1; + else + sign = 0; + + /* Check for IEEE special cases. */ + k &= 0x7fffffff; + if (k >= 0x7fff0000) + { + /* NaN. */ + if ((k & 0xffff) | s.words32.w1 | s.words32.w2 | s.words32.w3) + return (x + x); + + /* Infinity. */ + if (sign) + return -atantbl[83]; + else + return atantbl[83]; + } + + if (sign) + x = -x; + + if (k >= 0x40024800) /* 10.25 */ + { + k = 83; + t = -1.0/x; + } + else + { + /* Index of nearest table element. + Roundoff to integer is asymmetrical to avoid cancellation when t < 0 + (cf. fdlibm). */ + k = 8.0Q * x + 0.25Q; + u = 0.125Q * k; + /* Small arctan argument. */ + t = (x - u) / (1.0 + x * u); + } + + /* Arctan of small argument t. */ + u = t * t; + p = ((((p4 * u) + p3) * u + p2) * u + p1) * u + p0; + q = ((((u + q4) * u + q3) * u + q2) * u + q1) * u + q0; + u = t * u * p / q + t; + + /* arctan x = arctan u + arctan t */ + u = atantbl[k] + u; + if (sign) + return (-u); + else + return u; +} diff --git a/libquadmath/math/cacoshq.c b/libquadmath/math/cacoshq.c new file mode 100644 index 000000000..8acc570de --- /dev/null +++ b/libquadmath/math/cacoshq.c @@ -0,0 +1,89 @@ +/* Return arc hyperbole cosine for __float128 value. + Copyright (C) 1997, 1998, 2006 Free Software Foundation, Inc. + This file is part of the GNU C Library. + Contributed by Ulrich Drepper <drepper@cygnus.com>, 1997. + + The GNU C Library is free software; you can redistribute it and/or + modify it under the terms of the GNU Lesser General Public + License as published by the Free Software Foundation; either + version 2.1 of the License, or (at your option) any later version. + + The GNU C Library is distributed in the hope that it will be useful, + but WITHOUT ANY WARRANTY; without even the implied warranty of + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + Lesser General Public License for more details. + + You should have received a copy of the GNU Lesser General Public + License along with the GNU C Library; if not, write to the Free + Software Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA + 02111-1307 USA. */ + +#include "quadmath-imp.h" + + +__complex128 +cacoshq (__complex128 x) +{ + __complex128 res; + int rcls = fpclassifyq (__real__ x); + int icls = fpclassifyq (__imag__ x); + + if (rcls <= QUADFP_INFINITE || icls <= QUADFP_INFINITE) + { + if (icls == QUADFP_INFINITE) + { + __real__ res = HUGE_VALQ; + + if (rcls == QUADFP_NAN) + __imag__ res = nanq (""); + else + __imag__ res = copysignq ((rcls == QUADFP_INFINITE + ? (__real__ x < 0.0 + ? M_PIq - M_PI_4q : M_PI_4q) + : M_PI_2q), __imag__ x); + } + else if (rcls == QUADFP_INFINITE) + { + __real__ res = HUGE_VALQ; + + if (icls >= QUADFP_ZERO) + __imag__ res = copysignq (signbitq (__real__ x) ? M_PIq : 0.0, + __imag__ x); + else + __imag__ res = nanq (""); + } + else + { + __real__ res = nanq (""); + __imag__ res = nanq (""); + } + } + else if (rcls == QUADFP_ZERO && icls == QUADFP_ZERO) + { + __real__ res = 0.0; + __imag__ res = copysignq (M_PI_2q, __imag__ x); + } + else + { + __complex128 y; + + __real__ y = (__real__ x - __imag__ x) * (__real__ x + __imag__ x) - 1.0; + __imag__ y = 2.0 * __real__ x * __imag__ x; + + y = csqrtq (y); + + if (__real__ x < 0.0) + y = -y; + + __real__ y += __real__ x; + __imag__ y += __imag__ x; + + res = clogq (y); + + /* We have to use the positive branch. */ + if (__real__ res < 0.0) + res = -res; + } + + return res; +} diff --git a/libquadmath/math/cacosq.c b/libquadmath/math/cacosq.c new file mode 100644 index 000000000..3c257b029 --- /dev/null +++ b/libquadmath/math/cacosq.c @@ -0,0 +1,35 @@ +/* Return cosine of complex __float128 value. + Copyright (C) 1997, 1998 Free Software Foundation, Inc. + This file is part of the GNU C Library. + Contributed by Ulrich Drepper <drepper@cygnus.com>, 1997. + + The GNU C Library is free software; you can redistribute it and/or + modify it under the terms of the GNU Lesser General Public + License as published by the Free Software Foundation; either + version 2.1 of the License, or (at your option) any later version. + + The GNU C Library is distributed in the hope that it will be useful, + but WITHOUT ANY WARRANTY; without even the implied warranty of + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + Lesser General Public License for more details. + + You should have received a copy of the GNU Lesser General Public + License along with the GNU C Library; if not, write to the Free + Software Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA + 02111-1307 USA. */ + +#include "quadmath-imp.h" + +__complex128 +cacosq (__complex128 x) +{ + __complex128 y; + __complex128 res; + + y = casinq (x); + + __real__ res = M_PI_2q - __real__ y; + __imag__ res = -__imag__ y; + + return res; +} diff --git a/libquadmath/math/casinhq.c b/libquadmath/math/casinhq.c new file mode 100644 index 000000000..ffa45fa81 --- /dev/null +++ b/libquadmath/math/casinhq.c @@ -0,0 +1,78 @@ +/* Return arc hyperbole sine for __float128 value. + Copyright (C) 1997, 1998 Free Software Foundation, Inc. + This file is part of the GNU C Library. + Contributed by Ulrich Drepper <drepper@cygnus.com>, 1997. + + The GNU C Library is free software; you can redistribute it and/or + modify it under the terms of the GNU Lesser General Public + License as published by the Free Software Foundation; either + version 2.1 of the License, or (at your option) any later version. + + The GNU C Library is distributed in the hope that it will be useful, + but WITHOUT ANY WARRANTY; without even the implied warranty of + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + Lesser General Public License for more details. + + You should have received a copy of the GNU Lesser General Public + License along with the GNU C Library; if not, write to the Free + Software Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA + 02111-1307 USA. */ + +#include "quadmath-imp.h" + + +__complex128 +casinhq (__complex128 x) +{ + __complex128 res; + int rcls = fpclassifyq (__real__ x); + int icls = fpclassifyq (__imag__ x); + + if (rcls <= QUADFP_INFINITE || icls <= QUADFP_INFINITE) + { + if (icls == QUADFP_INFINITE) + { + __real__ res = copysignq (HUGE_VALQ, __real__ x); + + if (rcls == QUADFP_NAN) + __imag__ res = nanq (""); + else + __imag__ res = copysignq (rcls >= QUADFP_ZERO ? M_PI_2q : M_PI_4q, + __imag__ x); + } + else if (rcls <= QUADFP_INFINITE) + { + __real__ res = __real__ x; + if ((rcls == QUADFP_INFINITE && icls >= QUADFP_ZERO) + || (rcls == QUADFP_NAN && icls == QUADFP_ZERO)) + __imag__ res = copysignq (0.0, __imag__ x); + else + __imag__ res = nanq (""); + } + else + { + __real__ res = nanq (""); + __imag__ res = nanq (""); + } + } + else if (rcls == QUADFP_ZERO && icls == QUADFP_ZERO) + { + res = x; + } + else + { + __complex128 y; + + __real__ y = (__real__ x - __imag__ x) * (__real__ x + __imag__ x) + 1.0; + __imag__ y = 2.0 * __real__ x * __imag__ x; + + y = csqrtq (y); + + __real__ y += __real__ x; + __imag__ y += __imag__ x; + + res = clogq (y); + } + + return res; +} diff --git a/libquadmath/math/casinq.c b/libquadmath/math/casinq.c new file mode 100644 index 000000000..122ef5d85 --- /dev/null +++ b/libquadmath/math/casinq.c @@ -0,0 +1,60 @@ +/* Return arc sine of complex __float128 value. + Copyright (C) 1997 Free Software Foundation, Inc. + This file is part of the GNU C Library. + Contributed by Ulrich Drepper <drepper@cygnus.com>, 1997. + + The GNU C Library is free software; you can redistribute it and/or + modify it under the terms of the GNU Lesser General Public + License as published by the Free Software Foundation; either + version 2.1 of the License, or (at your option) any later version. + + The GNU C Library is distributed in the hope that it will be useful, + but WITHOUT ANY WARRANTY; without even the implied warranty of + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + Lesser General Public License for more details. + + You should have received a copy of the GNU Lesser General Public + License along with the GNU C Library; if not, write to the Free + Software Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA + 02111-1307 USA. */ + +#include "quadmath-imp.h" + + +__complex128 +casinq (__complex128 x) +{ + __complex128 res; + + if (isnanq (__real__ x) || isnanq (__imag__ x)) + { + if (__real__ x == 0.0) + { + res = x; + } + else if (isinfq (__real__ x) || isinfq (__imag__ x)) + { + __real__ res = nanq (""); + __imag__ res = copysignq (HUGE_VALQ, __imag__ x); + } + else + { + __real__ res = nanq (""); + __imag__ res = nanq (""); + } + } + else + { + __complex128 y; + + __real__ y = -__imag__ x; + __imag__ y = __real__ x; + + y = casinhq (y); + + __real__ res = __imag__ y; + __imag__ res = -__real__ y; + } + + return res; +} diff --git a/libquadmath/math/catanhq.c b/libquadmath/math/catanhq.c new file mode 100644 index 000000000..6a86e2d02 --- /dev/null +++ b/libquadmath/math/catanhq.c @@ -0,0 +1,76 @@ +/* Return arc hyperbole tangent for __float128 value. + Copyright (C) 1997, 1998 Free Software Foundation, Inc. + This file is part of the GNU C Library. + Contributed by Ulrich Drepper <drepper@cygnus.com>, 1997. + + The GNU C Library is free software; you can redistribute it and/or + modify it under the terms of the GNU Lesser General Public + License as published by the Free Software Foundation; either + version 2.1 of the License, or (at your option) any later version. + + The GNU C Library is distributed in the hope that it will be useful, + but WITHOUT ANY WARRANTY; without even the implied warranty of + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + Lesser General Public License for more details. + + You should have received a copy of the GNU Lesser General Public + License along with the GNU C Library; if not, write to the Free + Software Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA + 02111-1307 USA. */ + +#include "quadmath-imp.h" + + +__complex128 +catanhq (__complex128 x) +{ + __complex128 res; + int rcls = fpclassifyq (__real__ x); + int icls = fpclassifyq (__imag__ x); + + if (rcls <= QUADFP_INFINITE || icls <= QUADFP_INFINITE) + { + if (icls == QUADFP_INFINITE) + { + __real__ res = copysignq (0.0, __real__ x); + __imag__ res = copysignq (M_PI_2q, __imag__ x); + } + else if (rcls == QUADFP_INFINITE || rcls == QUADFP_ZERO) + { + __real__ res = copysignq (0.0, __real__ x); + if (icls >= QUADFP_ZERO) + __imag__ res = copysignq (M_PI_2q, __imag__ x); + else + __imag__ res = nanq (""); + } + else + { + __real__ res = nanq (""); + __imag__ res = nanq (""); + } + } + else if (rcls == QUADFP_ZERO && icls == QUADFP_ZERO) + { + res = x; + } + else + { + __float128 i2, num, den; + + i2 = __imag__ x * __imag__ x; + + num = 1.0 + __real__ x; + num = i2 + num * num; + + den = 1.0 - __real__ x; + den = i2 + den * den; + + __real__ res = 0.25 * (logq (num) - logq (den)); + + den = 1 - __real__ x * __real__ x - i2; + + __imag__ res = 0.5 * atan2q (2.0 * __imag__ x, den); + } + + return res; +} diff --git a/libquadmath/math/catanq.c b/libquadmath/math/catanq.c new file mode 100644 index 000000000..a9c925797 --- /dev/null +++ b/libquadmath/math/catanq.c @@ -0,0 +1,81 @@ +/* Return arc tangent of complex __float128 value. + Copyright (C) 1997, 1998 Free Software Foundation, Inc. + This file is part of the GNU C Library. + Contributed by Ulrich Drepper <drepper@cygnus.com>, 1997. + + The GNU C Library is free software; you can redistribute it and/or + modify it under the terms of the GNU Lesser General Public + License as published by the Free Software Foundation; either + version 2.1 of the License, or (at your option) any later version. + + The GNU C Library is distributed in the hope that it will be useful, + but WITHOUT ANY WARRANTY; without even the implied warranty of + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + Lesser General Public License for more details. + + You should have received a copy of the GNU Lesser General Public + License along with the GNU C Library; if not, write to the Free + Software Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA + 02111-1307 USA. */ + +#include "quadmath-imp.h" + + +__complex128 +catanq (__complex128 x) +{ + __complex128 res; + int rcls = fpclassifyq (__real__ x); + int icls = fpclassifyq (__imag__ x); + + if (rcls <= QUADFP_INFINITE || icls <= QUADFP_INFINITE) + { + if (rcls == QUADFP_INFINITE) + { + __real__ res = copysignq (M_PI_2q, __real__ x); + __imag__ res = copysignq (0.0, __imag__ x); + } + else if (icls == QUADFP_INFINITE) + { + if (rcls >= QUADFP_ZERO) + __real__ res = copysignq (M_PI_2q, __real__ x); + else + __real__ res = nanq (""); + __imag__ res = copysignq (0.0, __imag__ x); + } + else if (icls == QUADFP_ZERO || icls == QUADFP_INFINITE) + { + __real__ res = nanq (""); + __imag__ res = copysignq (0.0, __imag__ x); + } + else + { + __real__ res = nanq (""); + __imag__ res = nanq (""); + } + } + else if (rcls == QUADFP_ZERO && icls == QUADFP_ZERO) + { + res = x; + } + else + { + __float128 r2, num, den; + + r2 = __real__ x * __real__ x; + + den = 1 - r2 - __imag__ x * __imag__ x; + + __real__ res = 0.5 * atan2q (2.0 * __real__ x, den); + + num = __imag__ x + 1.0; + num = r2 + num * num; + + den = __imag__ x - 1.0; + den = r2 + den * den; + + __imag__ res = 0.25 * logq (num / den); + } + + return res; +} diff --git a/libquadmath/math/cbrtq.c b/libquadmath/math/cbrtq.c new file mode 100644 index 000000000..f61f32513 --- /dev/null +++ b/libquadmath/math/cbrtq.c @@ -0,0 +1,64 @@ +#include "quadmath-imp.h" +#include <math.h> +#include <float.h> + +__float128 +cbrtq (const __float128 x) +{ + __float128 y; + int exp, i; + + if (x == 0) + return x; + + if (isnanq (x)) + return x; + + if (x <= DBL_MAX && x >= DBL_MIN) + { + /* Use double result as starting point. */ + y = cbrt ((double) x); + + /* Two Newton iterations. */ + y -= 0.333333333333333333333333333333333333333333333333333Q + * (y - x / (y * y)); + y -= 0.333333333333333333333333333333333333333333333333333Q + * (y - x / (y * y)); + return y; + } + +#ifdef HAVE_CBRTL + if (x <= LDBL_MAX && x >= LDBL_MIN) + { + /* Use long double result as starting point. */ + y = cbrtl ((long double) x); + + /* One Newton iteration. */ + y -= 0.333333333333333333333333333333333333333333333333333Q + * (y - x / (y * y)); + return y; + } +#endif + + /* If we're outside of the range of C types, we have to compute + the initial guess the hard way. */ + y = frexpq (x, &exp); + + i = exp % 3; + y = (i >= 0 ? i : -i); + if (i == 1) + y *= 2, exp--; + else if (i == 2) + y *= 4, exp -= 2; + + y = cbrt (y); + y = scalbnq (y, exp / 3); + + /* Two Newton iterations. */ + y -= 0.333333333333333333333333333333333333333333333333333Q + * (y - x / (y * y)); + y -= 0.333333333333333333333333333333333333333333333333333Q + * (y - x / (y * y)); + return y; +} + diff --git a/libquadmath/math/ceilq.c b/libquadmath/math/ceilq.c new file mode 100644 index 000000000..577d8cd98 --- /dev/null +++ b/libquadmath/math/ceilq.c @@ -0,0 +1,61 @@ +/* s_ceill.c -- long double version of s_ceil.c. + * Conversion to IEEE quad long double by Jakub Jelinek, jj@ultra.linux.cz. + */ + +/* + * ==================================================== + * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. + * + * Developed at SunPro, a Sun Microsystems, Inc. business. + * Permission to use, copy, modify, and distribute this + * software is freely granted, provided that this notice + * is preserved. + * ==================================================== + */ + +#include "quadmath-imp.h" + +static const __float128 huge = 1.0e4930Q; + +__float128 +ceilq (__float128 x) +{ + int64_t i0,i1,j0; + uint64_t i,j; + GET_FLT128_WORDS64(i0,i1,x); + j0 = ((i0>>48)&0x7fff)-0x3fff; + if(j0<48) { + if(j0<0) { /* raise inexact if x != 0 */ + if(huge+x>0.0) {/* return 0*sign(x) if |x|<1 */ + if(i0<0) {i0=0x8000000000000000ULL;i1=0;} + else if((i0|i1)!=0) { i0=0x3fff000000000000ULL;i1=0;} + } + } else { + i = (0x0000ffffffffffffULL)>>j0; + if(((i0&i)|i1)==0) return x; /* x is integral */ + if(huge+x>0.0) { /* raise inexact flag */ + if(i0>0) i0 += (0x0001000000000000LL)>>j0; + i0 &= (~i); i1=0; + } + } + } else if (j0>111) { + if(j0==0x4000) return x+x; /* inf or NaN */ + else return x; /* x is integral */ + } else { + i = -1ULL>>(j0-48); + if((i1&i)==0) return x; /* x is integral */ + if(huge+x>0.0) { /* raise inexact flag */ + if(i0>0) { + if(j0==48) i0+=1; + else { + j = i1+(1LL<<(112-j0)); + if(j<i1) i0 +=1 ; /* got a carry */ + i1=j; + } + } + i1 &= (~i); + } + } + SET_FLT128_WORDS64(x,i0,i1); + return x; +} diff --git a/libquadmath/math/cimagq.c b/libquadmath/math/cimagq.c new file mode 100644 index 000000000..9b3bf70a1 --- /dev/null +++ b/libquadmath/math/cimagq.c @@ -0,0 +1,27 @@ +/* Return imaginary part of complex __float128 value. + Copyright (C) 1997, 1998 Free Software Foundation, Inc. + This file is part of the GNU C Library. + Contributed by Ulrich Drepper <drepper@cygnus.com>, 1997. + + The GNU C Library is free software; you can redistribute it and/or + modify it under the terms of the GNU Lesser General Public + License as published by the Free Software Foundation; either + version 2.1 of the License, or (at your option) any later version. + + The GNU C Library is distributed in the hope that it will be useful, + but WITHOUT ANY WARRANTY; without even the implied warranty of + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + Lesser General Public License for more details. + + You should have received a copy of the GNU Lesser General Public + License along with the GNU C Library; if not, write to the Free + Software Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA + 02111-1307 USA. */ + +#include "quadmath-imp.h" + +__float128 +cimagq (__complex128 z) +{ + return __imag__ z; +} diff --git a/libquadmath/math/complex.c b/libquadmath/math/complex.c new file mode 100644 index 000000000..f67448a2c --- /dev/null +++ b/libquadmath/math/complex.c @@ -0,0 +1,210 @@ +#include "quadmath-imp.h" + + +#define REALPART(z) (__real__(z)) +#define IMAGPART(z) (__imag__(z)) +#define COMPLEX_ASSIGN(z_, r_, i_) {__real__(z_) = (r_); __imag__(z_) = (i_);} + + +// Horrible... GCC doesn't know how to multiply or divide these +// __complex128 things. We have to do it on our own. +// Protect it around macros so, some day, we can switch it on + +#if 0 + +# define C128_MULT(x,y) ((x)*(y)) +# define C128_DIV(x,y) ((x)/(y)) + +#else + +#define C128_MULT(x,y) mult_c128(x,y) +#define C128_DIV(x,y) div_c128(x,y) + +static inline __complex128 mult_c128 (__complex128 x, __complex128 y) +{ + __float128 r1 = REALPART(x), i1 = IMAGPART(x); + __float128 r2 = REALPART(y), i2 = IMAGPART(y); + __complex128 res; + COMPLEX_ASSIGN(res, r1*r2 - i1*i2, i2*r1 + i1*r2); + return res; +} + + +// Careful: the algorithm for the division sucks. A lot. +static inline __complex128 div_c128 (__complex128 x, __complex128 y) +{ + __float128 n = hypotq (REALPART (y), IMAGPART (y)); + __float128 r1 = REALPART(x), i1 = IMAGPART(x); + __float128 r2 = REALPART(y), i2 = IMAGPART(y); + __complex128 res; + COMPLEX_ASSIGN(res, r1*r2 + i1*i2, i1*r2 - i2*r1); + return res / n; +} + +#endif + + + +__float128 +cabsq (__complex128 z) +{ + return hypotq (REALPART (z), IMAGPART (z)); +} + + +__complex128 +cexpq (__complex128 z) +{ + __float128 a, b; + __complex128 v; + + a = REALPART (z); + b = IMAGPART (z); + COMPLEX_ASSIGN (v, cosq (b), sinq (b)); + return expq (a) * v; +} + + +__complex128 +cexpiq (__float128 x) +{ + __complex128 v; + COMPLEX_ASSIGN (v, cosq (x), sinq (x)); + return v; +} + + +__float128 +cargq (__complex128 z) +{ + return atan2q (IMAGPART (z), REALPART (z)); +} + + +__complex128 +clogq (__complex128 z) +{ + __complex128 v; + COMPLEX_ASSIGN (v, logq (cabsq (z)), cargq (z)); + return v; +} + + +__complex128 +clog10q (__complex128 z) +{ + __complex128 v; + COMPLEX_ASSIGN (v, log10q (cabsq (z)), cargq (z)); + return v; +} + + +__complex128 +cpowq (__complex128 base, __complex128 power) +{ + return cexpq (C128_MULT(power, clogq (base))); +} + + +__complex128 +csinq (__complex128 a) +{ + __float128 r = REALPART (a), i = IMAGPART (a); + __complex128 v; + COMPLEX_ASSIGN (v, sinq (r) * coshq (i), cosq (r) * sinhq (i)); + return v; +} + + +__complex128 +csinhq (__complex128 a) +{ + __float128 r = REALPART (a), i = IMAGPART (a); + __complex128 v; + COMPLEX_ASSIGN (v, sinhq (r) * cosq (i), coshq (r) * sinq (i)); + return v; +} + + +__complex128 +ccosq (__complex128 a) +{ + __float128 r = REALPART (a), i = IMAGPART (a); + __complex128 v; + COMPLEX_ASSIGN (v, cosq (r) * coshq (i), - (sinq (r) * sinhq (i))); + return v; +} + + +__complex128 +ccoshq (__complex128 a) +{ + __float128 r = REALPART (a), i = IMAGPART (a); + __complex128 v; + COMPLEX_ASSIGN (v, coshq (r) * cosq (i), sinhq (r) * sinq (i)); + return v; +} + + +__complex128 +ctanq (__complex128 a) +{ + __float128 rt = tanq (REALPART (a)), it = tanhq (IMAGPART (a)); + __complex128 n, d; + COMPLEX_ASSIGN (n, rt, it); + COMPLEX_ASSIGN (d, 1, - (rt * it)); + return C128_DIV(n,d); +} + + +__complex128 +ctanhq (__complex128 a) +{ + __float128 rt = tanhq (REALPART (a)), it = tanq (IMAGPART (a)); + __complex128 n, d; + COMPLEX_ASSIGN (n, rt, it); + COMPLEX_ASSIGN (d, 1, rt * it); + return C128_DIV(n,d); +} + + +/* Square root algorithm from glibc. */ +__complex128 +csqrtq (__complex128 z) +{ + __float128 re = REALPART(z), im = IMAGPART(z); + __complex128 v; + + if (im == 0) + { + if (re < 0) + { + COMPLEX_ASSIGN (v, 0, copysignq (sqrtq (-re), im)); + } + else + { + COMPLEX_ASSIGN (v, fabsq (sqrtq (re)), copysignq (0, im)); + } + } + else if (re == 0) + { + __float128 r = sqrtq (0.5 * fabsq (im)); + COMPLEX_ASSIGN (v, r, copysignq (r, im)); + } + else + { + __float128 d = hypotq (re, im); + __float128 r, s; + + /* Use the identity 2 Re res Im res = Im x + to avoid cancellation error in d +/- Re x. */ + if (re > 0) + r = sqrtq (0.5 * d + 0.5 * re), s = (0.5 * im) / r; + else + s = sqrtq (0.5 * d - 0.5 * re), r = fabsq ((0.5 * im) / s); + + COMPLEX_ASSIGN (v, r, copysignq (s, im)); + } + return v; +} + diff --git a/libquadmath/math/conjq.c b/libquadmath/math/conjq.c new file mode 100644 index 000000000..8587d1219 --- /dev/null +++ b/libquadmath/math/conjq.c @@ -0,0 +1,27 @@ +/* Return complex conjugate of complex __float128 value. + Copyright (C) 1997, 1998 Free Software Foundation, Inc. + This file is part of the GNU C Library. + Contributed by Ulrich Drepper <drepper@cygnus.com>, 1997. + + The GNU C Library is free software; you can redistribute it and/or + modify it under the terms of the GNU Lesser General Public + License as published by the Free Software Foundation; either + version 2.1 of the License, or (at your option) any later version. + + The GNU C Library is distributed in the hope that it will be useful, + but WITHOUT ANY WARRANTY; without even the implied warranty of + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + Lesser General Public License for more details. + + You should have received a copy of the GNU Lesser General Public + License along with the GNU C Library; if not, write to the Free + Software Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA + 02111-1307 USA. */ + +#include "quadmath-imp.h" + +__complex128 +conjq (__complex128 z) +{ + return ~z; +} diff --git a/libquadmath/math/copysignq.c b/libquadmath/math/copysignq.c new file mode 100644 index 000000000..b59fcc549 --- /dev/null +++ b/libquadmath/math/copysignq.c @@ -0,0 +1,26 @@ +/* s_copysignl.c -- long double version of s_copysign.c. + * Conversion to long double by Jakub Jelinek, jj@ultra.linux.cz. + */ + +/* + * ==================================================== + * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. + * + * Developed at SunPro, a Sun Microsystems, Inc. business. + * Permission to use, copy, modify, and distribute this + * software is freely granted, provided that this notice + * is preserved. + * ==================================================== + */ + +#include "quadmath-imp.h" + +__float128 +copysignq (__float128 x, __float128 y) +{ + uint64_t hx,hy; + GET_FLT128_MSW64(hx,x); + GET_FLT128_MSW64(hy,y); + SET_FLT128_MSW64(x,(hx&0x7fffffffffffffffULL)|(hy&0x8000000000000000ULL)); + return x; +} diff --git a/libquadmath/math/coshq.c b/libquadmath/math/coshq.c new file mode 100644 index 000000000..a6e0eb5f1 --- /dev/null +++ b/libquadmath/math/coshq.c @@ -0,0 +1,108 @@ +/* + * ==================================================== + * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. + * + * Developed at SunPro, a Sun Microsystems, Inc. business. + * Permission to use, copy, modify, and distribute this + * software is freely granted, provided that this notice + * is preserved. + * ==================================================== + */ + +/* Changes for 128-bit __float128 are + Copyright (C) 2001 Stephen L. Moshier <moshier@na-net.ornl.gov> + and are incorporated herein by permission of the author. The author + reserves the right to distribute this material elsewhere under different + copying permissions. These modifications are distributed here under + the following terms: + + This library is free software; you can redistribute it and/or + modify it under the terms of the GNU Lesser General Public + License as published by the Free Software Foundation; either + version 2.1 of the License, or (at your option) any later version. + + This library is distributed in the hope that it will be useful, + but WITHOUT ANY WARRANTY; without even the implied warranty of + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + Lesser General Public License for more details. + + You should have received a copy of the GNU Lesser General Public + License along with this library; if not, write to the Free Software + Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA */ + +/* __ieee754_coshl(x) + * Method : + * mathematically coshl(x) if defined to be (exp(x)+exp(-x))/2 + * 1. Replace x by |x| (coshl(x) = coshl(-x)). + * 2. + * [ exp(x) - 1 ]^2 + * 0 <= x <= ln2/2 : coshl(x) := 1 + ------------------- + * 2*exp(x) + * + * exp(x) + 1/exp(x) + * ln2/2 <= x <= 22 : coshl(x) := ------------------- + * 2 + * 22 <= x <= lnovft : coshl(x) := expl(x)/2 + * lnovft <= x <= ln2ovft: coshl(x) := expl(x/2)/2 * expl(x/2) + * ln2ovft < x : coshl(x) := huge*huge (overflow) + * + * Special cases: + * coshl(x) is |x| if x is +INF, -INF, or NaN. + * only coshl(0)=1 is exact for finite x. + */ + +#include "quadmath-imp.h" + +static const __float128 one = 1.0Q, half = 0.5Q, huge = 1.0e4900Q, + ovf_thresh = 1.1357216553474703894801348310092223067821E4Q; + +__float128 +coshq (__float128 x) +{ + __float128 t, w; + int32_t ex; + ieee854_float128 u; + + u.value = x; + ex = u.words32.w0 & 0x7fffffff; + + /* Absolute value of x. */ + u.words32.w0 = ex; + + /* x is INF or NaN */ + if (ex >= 0x7fff0000) + return x * x; + + /* |x| in [0,0.5*ln2], return 1+expm1l(|x|)^2/(2*expl(|x|)) */ + if (ex < 0x3ffd62e4) /* 0.3465728759765625 */ + { + t = expm1q (u.value); + w = one + t; + if (ex < 0x3fb80000) /* |x| < 2^-116 */ + return w; /* cosh(tiny) = 1 */ + + return one + (t * t) / (w + w); + } + + /* |x| in [0.5*ln2,40], return (exp(|x|)+1/exp(|x|)/2; */ + if (ex < 0x40044000) + { + t = expq (u.value); + return half * t + half / t; + } + + /* |x| in [22, ln(maxdouble)] return half*exp(|x|) */ + if (ex <= 0x400c62e3) /* 11356.375 */ + return half * expq (u.value); + + /* |x| in [log(maxdouble), overflowthresold] */ + if (u.value <= ovf_thresh) + { + w = expq (half * u.value); + t = half * w; + return t * w; + } + + /* |x| > overflowthresold, cosh(x) overflow */ + return huge * huge; +} diff --git a/libquadmath/math/cosq.c b/libquadmath/math/cosq.c new file mode 100644 index 000000000..dc321a27d --- /dev/null +++ b/libquadmath/math/cosq.c @@ -0,0 +1,82 @@ +/* s_cosl.c -- long double version of s_cos.c. + * Conversion to long double by Jakub Jelinek, jj@ultra.linux.cz. + */ + +/* + * ==================================================== + * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. + * + * Developed at SunPro, a Sun Microsystems, Inc. business. + * Permission to use, copy, modify, and distribute this + * software is freely granted, provided that this notice + * is preserved. + * ==================================================== + */ + +/* cosl(x) + * Return cosine function of x. + * + * kernel function: + * __kernel_sinl ... sine function on [-pi/4,pi/4] + * __kernel_cosl ... cosine function on [-pi/4,pi/4] + * __ieee754_rem_pio2l ... argument reduction routine + * + * Method. + * Let S,C and T denote the sin, cos and tan respectively on + * [-PI/4, +PI/4]. Reduce the argument x to y1+y2 = x-k*pi/2 + * in [-pi/4 , +pi/4], and let n = k mod 4. + * We have + * + * n sin(x) cos(x) tan(x) + * ---------------------------------------------------------- + * 0 S C T + * 1 C -S -1/T + * 2 -S -C T + * 3 -C S -1/T + * ---------------------------------------------------------- + * + * Special cases: + * Let trig be any of sin, cos, or tan. + * trig(+-INF) is NaN, with signals; + * trig(NaN) is that NaN; + * + * Accuracy: + * TRIG(x) returns trig(x) nearly rounded + */ + +#include "quadmath-imp.h" + +__float128 +cosq (__float128 x) +{ + __float128 y[2],z=0.0Q; + int64_t n, ix; + + /* High word of x. */ + GET_FLT128_MSW64(ix,x); + + /* |x| ~< pi/4 */ + ix &= 0x7fffffffffffffffLL; + if(ix <= 0x3ffe921fb54442d1LL) + return __quadmath_kernel_cosq(x,z); + + /* cos(Inf or NaN) is NaN */ + else if (ix>=0x7fff000000000000LL) { + if (ix == 0x7fff000000000000LL) { + GET_FLT128_LSW64(n,x); + } + return x-x; + } + + /* argument reduction needed */ + else { + n = __quadmath_rem_pio2q(x,y); + switch(n&3) { + case 0: return __quadmath_kernel_cosq(y[0],y[1]); + case 1: return -__quadmath_kernel_sinq(y[0],y[1],1); + case 2: return -__quadmath_kernel_cosq(y[0],y[1]); + default: + return __quadmath_kernel_sinq(y[0],y[1],1); + } + } +} diff --git a/libquadmath/math/cosq_kernel.c b/libquadmath/math/cosq_kernel.c new file mode 100644 index 000000000..86f39551c --- /dev/null +++ b/libquadmath/math/cosq_kernel.c @@ -0,0 +1,127 @@ +/* Quad-precision floating point cosine on <-pi/4,pi/4>. + Copyright (C) 1999 Free Software Foundation, Inc. + This file is part of the GNU C Library. + Contributed by Jakub Jelinek <jj@ultra.linux.cz> + + The GNU C Library is free software; you can redistribute it and/or + modify it under the terms of the GNU Lesser General Public + License as published by the Free Software Foundation; either + version 2.1 of the License, or (at your option) any later version. + + The GNU C Library is distributed in the hope that it will be useful, + but WITHOUT ANY WARRANTY; without even the implied warranty of + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + Lesser General Public License for more details. + + You should have received a copy of the GNU Lesser General Public + License along with the GNU C Library; if not, write to the Free + Software Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA + 02111-1307 USA. */ + +#include "quadmath-imp.h" + +static const __float128 c[] = { +#define ONE c[0] + 1.00000000000000000000000000000000000E+00Q, /* 3fff0000000000000000000000000000 */ + +/* cos x ~ ONE + x^2 ( SCOS1 + SCOS2 * x^2 + ... + SCOS4 * x^6 + SCOS5 * x^8 ) + x in <0,1/256> */ +#define SCOS1 c[1] +#define SCOS2 c[2] +#define SCOS3 c[3] +#define SCOS4 c[4] +#define SCOS5 c[5] +-5.00000000000000000000000000000000000E-01Q, /* bffe0000000000000000000000000000 */ + 4.16666666666666666666666666556146073E-02Q, /* 3ffa5555555555555555555555395023 */ +-1.38888888888888888888309442601939728E-03Q, /* bff56c16c16c16c16c16a566e42c0375 */ + 2.48015873015862382987049502531095061E-05Q, /* 3fefa01a01a019ee02dcf7da2d6d5444 */ +-2.75573112601362126593516899592158083E-07Q, /* bfe927e4f5dce637cb0b54908754bde0 */ + +/* cos x ~ ONE + x^2 ( COS1 + COS2 * x^2 + ... + COS7 * x^12 + COS8 * x^14 ) + x in <0,0.1484375> */ +#define COS1 c[6] +#define COS2 c[7] +#define COS3 c[8] +#define COS4 c[9] +#define COS5 c[10] +#define COS6 c[11] +#define COS7 c[12] +#define COS8 c[13] +-4.99999999999999999999999999999999759E-01Q, /* bffdfffffffffffffffffffffffffffb */ + 4.16666666666666666666666666651287795E-02Q, /* 3ffa5555555555555555555555516f30 */ +-1.38888888888888888888888742314300284E-03Q, /* bff56c16c16c16c16c16c16a463dfd0d */ + 2.48015873015873015867694002851118210E-05Q, /* 3fefa01a01a01a01a0195cebe6f3d3a5 */ +-2.75573192239858811636614709689300351E-07Q, /* bfe927e4fb7789f5aa8142a22044b51f */ + 2.08767569877762248667431926878073669E-09Q, /* 3fe21eed8eff881d1e9262d7adff4373 */ +-1.14707451049343817400420280514614892E-11Q, /* bfda9397496922a9601ed3d4ca48944b */ + 4.77810092804389587579843296923533297E-14Q, /* 3fd2ae5f8197cbcdcaf7c3fb4523414c */ + +/* sin x ~ ONE * x + x^3 ( SSIN1 + SSIN2 * x^2 + ... + SSIN4 * x^6 + SSIN5 * x^8 ) + x in <0,1/256> */ +#define SSIN1 c[14] +#define SSIN2 c[15] +#define SSIN3 c[16] +#define SSIN4 c[17] +#define SSIN5 c[18] +-1.66666666666666666666666666666666659E-01Q, /* bffc5555555555555555555555555555 */ + 8.33333333333333333333333333146298442E-03Q, /* 3ff81111111111111111111110fe195d */ +-1.98412698412698412697726277416810661E-04Q, /* bff2a01a01a01a01a019e7121e080d88 */ + 2.75573192239848624174178393552189149E-06Q, /* 3fec71de3a556c640c6aaa51aa02ab41 */ +-2.50521016467996193495359189395805639E-08Q, /* bfe5ae644ee90c47dc71839de75b2787 */ +}; + +#define SINCOSQ_COS_HI 0 +#define SINCOSQ_COS_LO 1 +#define SINCOSQ_SIN_HI 2 +#define SINCOSQ_SIN_LO 3 +extern const __float128 __sincosq_table[]; + +__float128 +__quadmath_kernel_cosq (__float128 x, __float128 y) +{ + __float128 h, l, z, sin_l, cos_l_m1; + int64_t ix; + uint32_t tix, hix, index; + GET_FLT128_MSW64 (ix, x); + tix = ((uint64_t)ix) >> 32; + tix &= ~0x80000000; /* tix = |x|'s high 32 bits */ + if (tix < 0x3ffc3000) /* |x| < 0.1484375 */ + { + /* Argument is small enough to approximate it by a Chebyshev + polynomial of degree 16. */ + if (tix < 0x3fc60000) /* |x| < 2^-57 */ + if (!((int)x)) return ONE; /* generate inexact */ + z = x * x; + return ONE + (z*(COS1+z*(COS2+z*(COS3+z*(COS4+ + z*(COS5+z*(COS6+z*(COS7+z*COS8)))))))); + } + else + { + /* So that we don't have to use too large polynomial, we find + l and h such that x = l + h, where fabsl(l) <= 1.0/256 with 83 + possible values for h. We look up cosl(h) and sinl(h) in + pre-computed tables, compute cosl(l) and sinl(l) using a + Chebyshev polynomial of degree 10(11) and compute + cosl(h+l) = cosl(h)cosl(l) - sinl(h)sinl(l). */ + index = 0x3ffe - (tix >> 16); + hix = (tix + (0x200 << index)) & (0xfffffc00 << index); + x = fabsq (x); + switch (index) + { + case 0: index = ((45 << 10) + hix - 0x3ffe0000) >> 8; break; + case 1: index = ((13 << 11) + hix - 0x3ffd0000) >> 9; break; + default: + case 2: index = (hix - 0x3ffc3000) >> 10; break; + } + + SET_FLT128_WORDS64(h, ((uint64_t)hix) << 32, 0); + l = y - (h - x); + z = l * l; + sin_l = l*(ONE+z*(SSIN1+z*(SSIN2+z*(SSIN3+z*(SSIN4+z*SSIN5))))); + cos_l_m1 = z*(SCOS1+z*(SCOS2+z*(SCOS3+z*(SCOS4+z*SCOS5)))); + return __sincosq_table [index + SINCOSQ_COS_HI] + + (__sincosq_table [index + SINCOSQ_COS_LO] + - (__sincosq_table [index + SINCOSQ_SIN_HI] * sin_l + - __sincosq_table [index + SINCOSQ_COS_HI] * cos_l_m1)); + } +} diff --git a/libquadmath/math/cprojq.c b/libquadmath/math/cprojq.c new file mode 100644 index 000000000..6092c7325 --- /dev/null +++ b/libquadmath/math/cprojq.c @@ -0,0 +1,40 @@ +/* Compute projection of complex __float128 value to Riemann sphere. + Copyright (C) 1997, 1999, 2010 Free Software Foundation, Inc. + This file is part of the GNU C Library. + Contributed by Ulrich Drepper <drepper@cygnus.com>, 1997. + + The GNU C Library is free software; you can redistribute it and/or + modify it under the terms of the GNU Lesser General Public + License as published by the Free Software Foundation; either + version 2.1 of the License, or (at your option) any later version. + + The GNU C Library is distributed in the hope that it will be useful, + but WITHOUT ANY WARRANTY; without even the implied warranty of + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + Lesser General Public License for more details. + + You should have received a copy of the GNU Lesser General Public + License along with the GNU C Library; if not, write to the Free + Software Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA + 02111-1307 USA. */ + +#include "quadmath-imp.h" + + +__complex128 +cprojq (__complex128 x) +{ + if (isnanq (__real__ x) && isnanq (__imag__ x)) + return x; + else if (!finiteq (__real__ x) || !finiteq (__imag__ x)) + { + __complex128 res; + + __real__ res = __builtin_inf (); + __imag__ res = copysignq (0.0, __imag__ x); + + return res; + } + + return x; +} diff --git a/libquadmath/math/crealq.c b/libquadmath/math/crealq.c new file mode 100644 index 000000000..71f4a4405 --- /dev/null +++ b/libquadmath/math/crealq.c @@ -0,0 +1,27 @@ +/* Return real part of complex __float128 value. + Copyright (C) 1997, 1998 Free Software Foundation, Inc. + This file is part of the GNU C Library. + Contributed by Ulrich Drepper <drepper@cygnus.com>, 1997. + + The GNU C Library is free software; you can redistribute it and/or + modify it under the terms of the GNU Lesser General Public + License as published by the Free Software Foundation; either + version 2.1 of the License, or (at your option) any later version. + + The GNU C Library is distributed in the hope that it will be useful, + but WITHOUT ANY WARRANTY; without even the implied warranty of + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + Lesser General Public License for more details. + + You should have received a copy of the GNU Lesser General Public + License along with the GNU C Library; if not, write to the Free + Software Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA + 02111-1307 USA. */ + +#include "quadmath-imp.h" + +__float128 +crealq (__complex128 z) +{ + return __real__ z; +} diff --git a/libquadmath/math/erfq.c b/libquadmath/math/erfq.c new file mode 100644 index 000000000..50db88ae8 --- /dev/null +++ b/libquadmath/math/erfq.c @@ -0,0 +1,935 @@ +/* + * ==================================================== + * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. + * + * Developed at SunPro, a Sun Microsystems, Inc. business. + * Permission to use, copy, modify, and distribute this + * software is freely granted, provided that this notice + * is preserved. + * ==================================================== + */ + +/* Modifications and expansions for 128-bit long double are + Copyright (C) 2001 Stephen L. Moshier <moshier@na-net.ornl.gov> + and are incorporated herein by permission of the author. The author + reserves the right to distribute this material elsewhere under different + copying permissions. These modifications are distributed here under + the following terms: + + This library is free software; you can redistribute it and/or + modify it under the terms of the GNU Lesser General Public + License as published by the Free Software Foundation; either + version 2.1 of the License, or (at your option) any later version. + + This library is distributed in the hope that it will be useful, + but WITHOUT ANY WARRANTY; without even the implied warranty of + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + Lesser General Public License for more details. + + You should have received a copy of the GNU Lesser General Public + License along with this library; if not, write to the Free Software + Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA */ + +/* double erf(double x) + * double erfc(double x) + * x + * 2 |\ + * erf(x) = --------- | exp(-t*t)dt + * sqrt(pi) \| + * 0 + * + * erfc(x) = 1-erf(x) + * Note that + * erf(-x) = -erf(x) + * erfc(-x) = 2 - erfc(x) + * + * Method: + * 1. erf(x) = x + x*R(x^2) for |x| in [0, 7/8] + * Remark. The formula is derived by noting + * erf(x) = (2/sqrt(pi))*(x - x^3/3 + x^5/10 - x^7/42 + ....) + * and that + * 2/sqrt(pi) = 1.128379167095512573896158903121545171688 + * is close to one. + * + * 1a. erf(x) = 1 - erfc(x), for |x| > 1.0 + * erfc(x) = 1 - erf(x) if |x| < 1/4 + * + * 2. For |x| in [7/8, 1], let s = |x| - 1, and + * c = 0.84506291151 rounded to single (24 bits) + * erf(s + c) = sign(x) * (c + P1(s)/Q1(s)) + * Remark: here we use the taylor series expansion at x=1. + * erf(1+s) = erf(1) + s*Poly(s) + * = 0.845.. + P1(s)/Q1(s) + * Note that |P1/Q1|< 0.078 for x in [0.84375,1.25] + * + * 3. For x in [1/4, 5/4], + * erfc(s + const) = erfc(const) + s P1(s)/Q1(s) + * for const = 1/4, 3/8, ..., 9/8 + * and 0 <= s <= 1/8 . + * + * 4. For x in [5/4, 107], + * erfc(x) = (1/x)*exp(-x*x-0.5625 + R(z)) + * z=1/x^2 + * The interval is partitioned into several segments + * of width 1/8 in 1/x. + * + * Note1: + * To compute exp(-x*x-0.5625+R/S), let s be a single + * precision number and s := x; then + * -x*x = -s*s + (s-x)*(s+x) + * exp(-x*x-0.5626+R/S) = + * exp(-s*s-0.5625)*exp((s-x)*(s+x)+R/S); + * Note2: + * Here 4 and 5 make use of the asymptotic series + * exp(-x*x) + * erfc(x) ~ ---------- * ( 1 + Poly(1/x^2) ) + * x*sqrt(pi) + * + * 5. For inf > x >= 107 + * erf(x) = sign(x) *(1 - tiny) (raise inexact) + * erfc(x) = tiny*tiny (raise underflow) if x > 0 + * = 2 - tiny if x<0 + * + * 7. Special case: + * erf(0) = 0, erf(inf) = 1, erf(-inf) = -1, + * erfc(0) = 1, erfc(inf) = 0, erfc(-inf) = 2, + * erfc/erf(NaN) is NaN + */ + +#include "quadmath-imp.h" + + + +__float128 erfcq (__float128); + + +/* Evaluate P[n] x^n + P[n-1] x^(n-1) + ... + P[0] */ + +static __float128 +neval (__float128 x, const __float128 *p, int n) +{ + __float128 y; + + p += n; + y = *p--; + do + { + y = y * x + *p--; + } + while (--n > 0); + return y; +} + + +/* Evaluate x^n+1 + P[n] x^(n) + P[n-1] x^(n-1) + ... + P[0] */ + +static __float128 +deval (__float128 x, const __float128 *p, int n) +{ + __float128 y; + + p += n; + y = x + *p--; + do + { + y = y * x + *p--; + } + while (--n > 0); + return y; +} + + + +static const __float128 +tiny = 1e-4931Q, + half = 0.5Q, + one = 1.0Q, + two = 2.0Q, + /* 2/sqrt(pi) - 1 */ + efx = 1.2837916709551257389615890312154517168810E-1Q, + /* 8 * (2/sqrt(pi) - 1) */ + efx8 = 1.0270333367641005911692712249723613735048E0Q; + + +/* erf(x) = x + x R(x^2) + 0 <= x <= 7/8 + Peak relative error 1.8e-35 */ +#define NTN1 8 +static const __float128 TN1[NTN1 + 1] = +{ + -3.858252324254637124543172907442106422373E10Q, + 9.580319248590464682316366876952214879858E10Q, + 1.302170519734879977595901236693040544854E10Q, + 2.922956950426397417800321486727032845006E9Q, + 1.764317520783319397868923218385468729799E8Q, + 1.573436014601118630105796794840834145120E7Q, + 4.028077380105721388745632295157816229289E5Q, + 1.644056806467289066852135096352853491530E4Q, + 3.390868480059991640235675479463287886081E1Q +}; +#define NTD1 8 +static const __float128 TD1[NTD1 + 1] = +{ + -3.005357030696532927149885530689529032152E11Q, + -1.342602283126282827411658673839982164042E11Q, + -2.777153893355340961288511024443668743399E10Q, + -3.483826391033531996955620074072768276974E9Q, + -2.906321047071299585682722511260895227921E8Q, + -1.653347985722154162439387878512427542691E7Q, + -6.245520581562848778466500301865173123136E5Q, + -1.402124304177498828590239373389110545142E4Q, + -1.209368072473510674493129989468348633579E2Q +/* 1.0E0 */ +}; + + +/* erf(z+1) = erf_const + P(z)/Q(z) + -.125 <= z <= 0 + Peak relative error 7.3e-36 */ +static const __float128 erf_const = 0.845062911510467529296875Q; +#define NTN2 8 +static const __float128 TN2[NTN2 + 1] = +{ + -4.088889697077485301010486931817357000235E1Q, + 7.157046430681808553842307502826960051036E3Q, + -2.191561912574409865550015485451373731780E3Q, + 2.180174916555316874988981177654057337219E3Q, + 2.848578658049670668231333682379720943455E2Q, + 1.630362490952512836762810462174798925274E2Q, + 6.317712353961866974143739396865293596895E0Q, + 2.450441034183492434655586496522857578066E1Q, + 5.127662277706787664956025545897050896203E-1Q +}; +#define NTD2 8 +static const __float128 TD2[NTD2 + 1] = +{ + 1.731026445926834008273768924015161048885E4Q, + 1.209682239007990370796112604286048173750E4Q, + 1.160950290217993641320602282462976163857E4Q, + 5.394294645127126577825507169061355698157E3Q, + 2.791239340533632669442158497532521776093E3Q, + 8.989365571337319032943005387378993827684E2Q, + 2.974016493766349409725385710897298069677E2Q, + 6.148192754590376378740261072533527271947E1Q, + 1.178502892490738445655468927408440847480E1Q + /* 1.0E0 */ +}; + + +/* erfc(x + 0.25) = erfc(0.25) + x R(x) + 0 <= x < 0.125 + Peak relative error 1.4e-35 */ +#define NRNr13 8 +static const __float128 RNr13[NRNr13 + 1] = +{ + -2.353707097641280550282633036456457014829E3Q, + 3.871159656228743599994116143079870279866E2Q, + -3.888105134258266192210485617504098426679E2Q, + -2.129998539120061668038806696199343094971E1Q, + -8.125462263594034672468446317145384108734E1Q, + 8.151549093983505810118308635926270319660E0Q, + -5.033362032729207310462422357772568553670E0Q, + -4.253956621135136090295893547735851168471E-2Q, + -8.098602878463854789780108161581050357814E-2Q +}; +#define NRDr13 7 +static const __float128 RDr13[NRDr13 + 1] = +{ + 2.220448796306693503549505450626652881752E3Q, + 1.899133258779578688791041599040951431383E2Q, + 1.061906712284961110196427571557149268454E3Q, + 7.497086072306967965180978101974566760042E1Q, + 2.146796115662672795876463568170441327274E2Q, + 1.120156008362573736664338015952284925592E1Q, + 2.211014952075052616409845051695042741074E1Q, + 6.469655675326150785692908453094054988938E-1Q + /* 1.0E0 */ +}; +/* erfc(0.25) = C13a + C13b to extra precision. */ +static const __float128 C13a = 0.723663330078125Q; +static const __float128 C13b = 1.0279753638067014931732235184287934646022E-5Q; + + +/* erfc(x + 0.375) = erfc(0.375) + x R(x) + 0 <= x < 0.125 + Peak relative error 1.2e-35 */ +#define NRNr14 8 +static const __float128 RNr14[NRNr14 + 1] = +{ + -2.446164016404426277577283038988918202456E3Q, + 6.718753324496563913392217011618096698140E2Q, + -4.581631138049836157425391886957389240794E2Q, + -2.382844088987092233033215402335026078208E1Q, + -7.119237852400600507927038680970936336458E1Q, + 1.313609646108420136332418282286454287146E1Q, + -6.188608702082264389155862490056401365834E0Q, + -2.787116601106678287277373011101132659279E-2Q, + -2.230395570574153963203348263549700967918E-2Q +}; +#define NRDr14 7 +static const __float128 RDr14[NRDr14 + 1] = +{ + 2.495187439241869732696223349840963702875E3Q, + 2.503549449872925580011284635695738412162E2Q, + 1.159033560988895481698051531263861842461E3Q, + 9.493751466542304491261487998684383688622E1Q, + 2.276214929562354328261422263078480321204E2Q, + 1.367697521219069280358984081407807931847E1Q, + 2.276988395995528495055594829206582732682E1Q, + 7.647745753648996559837591812375456641163E-1Q + /* 1.0E0 */ +}; +/* erfc(0.375) = C14a + C14b to extra precision. */ +static const __float128 C14a = 0.5958709716796875Q; +static const __float128 C14b = 1.2118885490201676174914080878232469565953E-5Q; + +/* erfc(x + 0.5) = erfc(0.5) + x R(x) + 0 <= x < 0.125 + Peak relative error 4.7e-36 */ +#define NRNr15 8 +static const __float128 RNr15[NRNr15 + 1] = +{ + -2.624212418011181487924855581955853461925E3Q, + 8.473828904647825181073831556439301342756E2Q, + -5.286207458628380765099405359607331669027E2Q, + -3.895781234155315729088407259045269652318E1Q, + -6.200857908065163618041240848728398496256E1Q, + 1.469324610346924001393137895116129204737E1Q, + -6.961356525370658572800674953305625578903E0Q, + 5.145724386641163809595512876629030548495E-3Q, + 1.990253655948179713415957791776180406812E-2Q +}; +#define NRDr15 7 +static const __float128 RDr15[NRDr15 + 1] = +{ + 2.986190760847974943034021764693341524962E3Q, + 5.288262758961073066335410218650047725985E2Q, + 1.363649178071006978355113026427856008978E3Q, + 1.921707975649915894241864988942255320833E2Q, + 2.588651100651029023069013885900085533226E2Q, + 2.628752920321455606558942309396855629459E1Q, + 2.455649035885114308978333741080991380610E1Q, + 1.378826653595128464383127836412100939126E0Q + /* 1.0E0 */ +}; +/* erfc(0.5) = C15a + C15b to extra precision. */ +static const __float128 C15a = 0.4794921875Q; +static const __float128 C15b = 7.9346869534623172533461080354712635484242E-6Q; + +/* erfc(x + 0.625) = erfc(0.625) + x R(x) + 0 <= x < 0.125 + Peak relative error 5.1e-36 */ +#define NRNr16 8 +static const __float128 RNr16[NRNr16 + 1] = +{ + -2.347887943200680563784690094002722906820E3Q, + 8.008590660692105004780722726421020136482E2Q, + -5.257363310384119728760181252132311447963E2Q, + -4.471737717857801230450290232600243795637E1Q, + -4.849540386452573306708795324759300320304E1Q, + 1.140885264677134679275986782978655952843E1Q, + -6.731591085460269447926746876983786152300E0Q, + 1.370831653033047440345050025876085121231E-1Q, + 2.022958279982138755020825717073966576670E-2Q, +}; +#define NRDr16 7 +static const __float128 RDr16[NRDr16 + 1] = +{ + 3.075166170024837215399323264868308087281E3Q, + 8.730468942160798031608053127270430036627E2Q, + 1.458472799166340479742581949088453244767E3Q, + 3.230423687568019709453130785873540386217E2Q, + 2.804009872719893612081109617983169474655E2Q, + 4.465334221323222943418085830026979293091E1Q, + 2.612723259683205928103787842214809134746E1Q, + 2.341526751185244109722204018543276124997E0Q, + /* 1.0E0 */ +}; +/* erfc(0.625) = C16a + C16b to extra precision. */ +static const __float128 C16a = 0.3767547607421875Q; +static const __float128 C16b = 4.3570693945275513594941232097252997287766E-6Q; + +/* erfc(x + 0.75) = erfc(0.75) + x R(x) + 0 <= x < 0.125 + Peak relative error 1.7e-35 */ +#define NRNr17 8 +static const __float128 RNr17[NRNr17 + 1] = +{ + -1.767068734220277728233364375724380366826E3Q, + 6.693746645665242832426891888805363898707E2Q, + -4.746224241837275958126060307406616817753E2Q, + -2.274160637728782675145666064841883803196E1Q, + -3.541232266140939050094370552538987982637E1Q, + 6.988950514747052676394491563585179503865E0Q, + -5.807687216836540830881352383529281215100E0Q, + 3.631915988567346438830283503729569443642E-1Q, + -1.488945487149634820537348176770282391202E-2Q +}; +#define NRDr17 7 +static const __float128 RDr17[NRDr17 + 1] = +{ + 2.748457523498150741964464942246913394647E3Q, + 1.020213390713477686776037331757871252652E3Q, + 1.388857635935432621972601695296561952738E3Q, + 3.903363681143817750895999579637315491087E2Q, + 2.784568344378139499217928969529219886578E2Q, + 5.555800830216764702779238020065345401144E1Q, + 2.646215470959050279430447295801291168941E1Q, + 2.984905282103517497081766758550112011265E0Q, + /* 1.0E0 */ +}; +/* erfc(0.75) = C17a + C17b to extra precision. */ +static const __float128 C17a = 0.2888336181640625Q; +static const __float128 C17b = 1.0748182422368401062165408589222625794046E-5Q; + + +/* erfc(x + 0.875) = erfc(0.875) + x R(x) + 0 <= x < 0.125 + Peak relative error 2.2e-35 */ +#define NRNr18 8 +static const __float128 RNr18[NRNr18 + 1] = +{ + -1.342044899087593397419622771847219619588E3Q, + 6.127221294229172997509252330961641850598E2Q, + -4.519821356522291185621206350470820610727E2Q, + 1.223275177825128732497510264197915160235E1Q, + -2.730789571382971355625020710543532867692E1Q, + 4.045181204921538886880171727755445395862E0Q, + -4.925146477876592723401384464691452700539E0Q, + 5.933878036611279244654299924101068088582E-1Q, + -5.557645435858916025452563379795159124753E-2Q +}; +#define NRDr18 7 +static const __float128 RDr18[NRDr18 + 1] = +{ + 2.557518000661700588758505116291983092951E3Q, + 1.070171433382888994954602511991940418588E3Q, + 1.344842834423493081054489613250688918709E3Q, + 4.161144478449381901208660598266288188426E2Q, + 2.763670252219855198052378138756906980422E2Q, + 5.998153487868943708236273854747564557632E1Q, + 2.657695108438628847733050476209037025318E1Q, + 3.252140524394421868923289114410336976512E0Q, + /* 1.0E0 */ +}; +/* erfc(0.875) = C18a + C18b to extra precision. */ +static const __float128 C18a = 0.215911865234375Q; +static const __float128 C18b = 1.3073705765341685464282101150637224028267E-5Q; + +/* erfc(x + 1.0) = erfc(1.0) + x R(x) + 0 <= x < 0.125 + Peak relative error 1.6e-35 */ +#define NRNr19 8 +static const __float128 RNr19[NRNr19 + 1] = +{ + -1.139180936454157193495882956565663294826E3Q, + 6.134903129086899737514712477207945973616E2Q, + -4.628909024715329562325555164720732868263E2Q, + 4.165702387210732352564932347500364010833E1Q, + -2.286979913515229747204101330405771801610E1Q, + 1.870695256449872743066783202326943667722E0Q, + -4.177486601273105752879868187237000032364E0Q, + 7.533980372789646140112424811291782526263E-1Q, + -8.629945436917752003058064731308767664446E-2Q +}; +#define NRDr19 7 +static const __float128 RDr19[NRDr19 + 1] = +{ + 2.744303447981132701432716278363418643778E3Q, + 1.266396359526187065222528050591302171471E3Q, + 1.466739461422073351497972255511919814273E3Q, + 4.868710570759693955597496520298058147162E2Q, + 2.993694301559756046478189634131722579643E2Q, + 6.868976819510254139741559102693828237440E1Q, + 2.801505816247677193480190483913753613630E1Q, + 3.604439909194350263552750347742663954481E0Q, + /* 1.0E0 */ +}; +/* erfc(1.0) = C19a + C19b to extra precision. */ +static const __float128 C19a = 0.15728759765625Q; +static const __float128 C19b = 1.1609394035130658779364917390740703933002E-5Q; + +/* erfc(x + 1.125) = erfc(1.125) + x R(x) + 0 <= x < 0.125 + Peak relative error 3.6e-36 */ +#define NRNr20 8 +static const __float128 RNr20[NRNr20 + 1] = +{ + -9.652706916457973956366721379612508047640E2Q, + 5.577066396050932776683469951773643880634E2Q, + -4.406335508848496713572223098693575485978E2Q, + 5.202893466490242733570232680736966655434E1Q, + -1.931311847665757913322495948705563937159E1Q, + -9.364318268748287664267341457164918090611E-2Q, + -3.306390351286352764891355375882586201069E0Q, + 7.573806045289044647727613003096916516475E-1Q, + -9.611744011489092894027478899545635991213E-2Q +}; +#define NRDr20 7 +static const __float128 RDr20[NRDr20 + 1] = +{ + 3.032829629520142564106649167182428189014E3Q, + 1.659648470721967719961167083684972196891E3Q, + 1.703545128657284619402511356932569292535E3Q, + 6.393465677731598872500200253155257708763E2Q, + 3.489131397281030947405287112726059221934E2Q, + 8.848641738570783406484348434387611713070E1Q, + 3.132269062552392974833215844236160958502E1Q, + 4.430131663290563523933419966185230513168E0Q + /* 1.0E0 */ +}; +/* erfc(1.125) = C20a + C20b to extra precision. */ +static const __float128 C20a = 0.111602783203125Q; +static const __float128 C20b = 8.9850951672359304215530728365232161564636E-6Q; + +/* erfc(1/x) = 1/x exp (-1/x^2 - 0.5625 + R(1/x^2)) + 7/8 <= 1/x < 1 + Peak relative error 1.4e-35 */ +#define NRNr8 9 +static const __float128 RNr8[NRNr8 + 1] = +{ + 3.587451489255356250759834295199296936784E1Q, + 5.406249749087340431871378009874875889602E2Q, + 2.931301290625250886238822286506381194157E3Q, + 7.359254185241795584113047248898753470923E3Q, + 9.201031849810636104112101947312492532314E3Q, + 5.749697096193191467751650366613289284777E3Q, + 1.710415234419860825710780802678697889231E3Q, + 2.150753982543378580859546706243022719599E2Q, + 8.740953582272147335100537849981160931197E0Q, + 4.876422978828717219629814794707963640913E-2Q +}; +#define NRDr8 8 +static const __float128 RDr8[NRDr8 + 1] = +{ + 6.358593134096908350929496535931630140282E1Q, + 9.900253816552450073757174323424051765523E2Q, + 5.642928777856801020545245437089490805186E3Q, + 1.524195375199570868195152698617273739609E4Q, + 2.113829644500006749947332935305800887345E4Q, + 1.526438562626465706267943737310282977138E4Q, + 5.561370922149241457131421914140039411782E3Q, + 9.394035530179705051609070428036834496942E2Q, + 6.147019596150394577984175188032707343615E1Q + /* 1.0E0 */ +}; + +/* erfc(1/x) = 1/x exp (-1/x^2 - 0.5625 + R(1/x^2)) + 0.75 <= 1/x <= 0.875 + Peak relative error 2.0e-36 */ +#define NRNr7 9 +static const __float128 RNr7[NRNr7 + 1] = +{ + 1.686222193385987690785945787708644476545E1Q, + 1.178224543567604215602418571310612066594E3Q, + 1.764550584290149466653899886088166091093E4Q, + 1.073758321890334822002849369898232811561E5Q, + 3.132840749205943137619839114451290324371E5Q, + 4.607864939974100224615527007793867585915E5Q, + 3.389781820105852303125270837910972384510E5Q, + 1.174042187110565202875011358512564753399E5Q, + 1.660013606011167144046604892622504338313E4Q, + 6.700393957480661937695573729183733234400E2Q +}; +#define NRDr7 9 +static const __float128 RDr7[NRDr7 + 1] = +{ +-1.709305024718358874701575813642933561169E3Q, +-3.280033887481333199580464617020514788369E4Q, +-2.345284228022521885093072363418750835214E5Q, +-8.086758123097763971926711729242327554917E5Q, +-1.456900414510108718402423999575992450138E6Q, +-1.391654264881255068392389037292702041855E6Q, +-6.842360801869939983674527468509852583855E5Q, +-1.597430214446573566179675395199807533371E5Q, +-1.488876130609876681421645314851760773480E4Q, +-3.511762950935060301403599443436465645703E2Q + /* 1.0E0 */ +}; + +/* erfc(1/x) = 1/x exp(-1/x^2 - 0.5625 + R(1/x^2)) + 5/8 <= 1/x < 3/4 + Peak relative error 1.9e-35 */ +#define NRNr6 9 +static const __float128 RNr6[NRNr6 + 1] = +{ + 1.642076876176834390623842732352935761108E0Q, + 1.207150003611117689000664385596211076662E2Q, + 2.119260779316389904742873816462800103939E3Q, + 1.562942227734663441801452930916044224174E4Q, + 5.656779189549710079988084081145693580479E4Q, + 1.052166241021481691922831746350942786299E5Q, + 9.949798524786000595621602790068349165758E4Q, + 4.491790734080265043407035220188849562856E4Q, + 8.377074098301530326270432059434791287601E3Q, + 4.506934806567986810091824791963991057083E2Q +}; +#define NRDr6 9 +static const __float128 RDr6[NRDr6 + 1] = +{ +-1.664557643928263091879301304019826629067E2Q, +-3.800035902507656624590531122291160668452E3Q, +-3.277028191591734928360050685359277076056E4Q, +-1.381359471502885446400589109566587443987E5Q, +-3.082204287382581873532528989283748656546E5Q, +-3.691071488256738343008271448234631037095E5Q, +-2.300482443038349815750714219117566715043E5Q, +-6.873955300927636236692803579555752171530E4Q, +-8.262158817978334142081581542749986845399E3Q, +-2.517122254384430859629423488157361983661E2Q + /* 1.00 */ +}; + +/* erfc(1/x) = 1/x exp(-1/x^2 - 0.5625 + R(1/x^2)) + 1/2 <= 1/x < 5/8 + Peak relative error 4.6e-36 */ +#define NRNr5 10 +static const __float128 RNr5[NRNr5 + 1] = +{ +-3.332258927455285458355550878136506961608E-3Q, +-2.697100758900280402659586595884478660721E-1Q, +-6.083328551139621521416618424949137195536E0Q, +-6.119863528983308012970821226810162441263E1Q, +-3.176535282475593173248810678636522589861E2Q, +-8.933395175080560925809992467187963260693E2Q, +-1.360019508488475978060917477620199499560E3Q, +-1.075075579828188621541398761300910213280E3Q, +-4.017346561586014822824459436695197089916E2Q, +-5.857581368145266249509589726077645791341E1Q, +-2.077715925587834606379119585995758954399E0Q +}; +#define NRDr5 9 +static const __float128 RDr5[NRDr5 + 1] = +{ + 3.377879570417399341550710467744693125385E-1Q, + 1.021963322742390735430008860602594456187E1Q, + 1.200847646592942095192766255154827011939E2Q, + 7.118915528142927104078182863387116942836E2Q, + 2.318159380062066469386544552429625026238E3Q, + 4.238729853534009221025582008928765281620E3Q, + 4.279114907284825886266493994833515580782E3Q, + 2.257277186663261531053293222591851737504E3Q, + 5.570475501285054293371908382916063822957E2Q, + 5.142189243856288981145786492585432443560E1Q + /* 1.0E0 */ +}; + +/* erfc(1/x) = 1/x exp(-1/x^2 - 0.5625 + R(1/x^2)) + 3/8 <= 1/x < 1/2 + Peak relative error 2.0e-36 */ +#define NRNr4 10 +static const __float128 RNr4[NRNr4 + 1] = +{ + 3.258530712024527835089319075288494524465E-3Q, + 2.987056016877277929720231688689431056567E-1Q, + 8.738729089340199750734409156830371528862E0Q, + 1.207211160148647782396337792426311125923E2Q, + 8.997558632489032902250523945248208224445E2Q, + 3.798025197699757225978410230530640879762E3Q, + 9.113203668683080975637043118209210146846E3Q, + 1.203285891339933238608683715194034900149E4Q, + 8.100647057919140328536743641735339740855E3Q, + 2.383888249907144945837976899822927411769E3Q, + 2.127493573166454249221983582495245662319E2Q +}; +#define NRDr4 10 +static const __float128 RDr4[NRDr4 + 1] = +{ +-3.303141981514540274165450687270180479586E-1Q, +-1.353768629363605300707949368917687066724E1Q, +-2.206127630303621521950193783894598987033E2Q, +-1.861800338758066696514480386180875607204E3Q, +-8.889048775872605708249140016201753255599E3Q, +-2.465888106627948210478692168261494857089E4Q, +-3.934642211710774494879042116768390014289E4Q, +-3.455077258242252974937480623730228841003E4Q, +-1.524083977439690284820586063729912653196E4Q, +-2.810541887397984804237552337349093953857E3Q, +-1.343929553541159933824901621702567066156E2Q + /* 1.0E0 */ +}; + +/* erfc(1/x) = 1/x exp(-1/x^2 - 0.5625 + R(1/x^2)) + 1/4 <= 1/x < 3/8 + Peak relative error 8.4e-37 */ +#define NRNr3 11 +static const __float128 RNr3[NRNr3 + 1] = +{ +-1.952401126551202208698629992497306292987E-6Q, +-2.130881743066372952515162564941682716125E-4Q, +-8.376493958090190943737529486107282224387E-3Q, +-1.650592646560987700661598877522831234791E-1Q, +-1.839290818933317338111364667708678163199E0Q, +-1.216278715570882422410442318517814388470E1Q, +-4.818759344462360427612133632533779091386E1Q, +-1.120994661297476876804405329172164436784E2Q, +-1.452850765662319264191141091859300126931E2Q, +-9.485207851128957108648038238656777241333E1Q, +-2.563663855025796641216191848818620020073E1Q, +-1.787995944187565676837847610706317833247E0Q +}; +#define NRDr3 10 +static const __float128 RDr3[NRDr3 + 1] = +{ + 1.979130686770349481460559711878399476903E-4Q, + 1.156941716128488266238105813374635099057E-2Q, + 2.752657634309886336431266395637285974292E-1Q, + 3.482245457248318787349778336603569327521E0Q, + 2.569347069372696358578399521203959253162E1Q, + 1.142279000180457419740314694631879921561E2Q, + 3.056503977190564294341422623108332700840E2Q, + 4.780844020923794821656358157128719184422E2Q, + 4.105972727212554277496256802312730410518E2Q, + 1.724072188063746970865027817017067646246E2Q, + 2.815939183464818198705278118326590370435E1Q + /* 1.0E0 */ +}; + +/* erfc(1/x) = 1/x exp(-1/x^2 - 0.5625 + R(1/x^2)) + 1/8 <= 1/x < 1/4 + Peak relative error 1.5e-36 */ +#define NRNr2 11 +static const __float128 RNr2[NRNr2 + 1] = +{ +-2.638914383420287212401687401284326363787E-8Q, +-3.479198370260633977258201271399116766619E-6Q, +-1.783985295335697686382487087502222519983E-4Q, +-4.777876933122576014266349277217559356276E-3Q, +-7.450634738987325004070761301045014986520E-2Q, +-7.068318854874733315971973707247467326619E-1Q, +-4.113919921935944795764071670806867038732E0Q, +-1.440447573226906222417767283691888875082E1Q, +-2.883484031530718428417168042141288943905E1Q, +-2.990886974328476387277797361464279931446E1Q, +-1.325283914915104866248279787536128997331E1Q, +-1.572436106228070195510230310658206154374E0Q +}; +#define NRDr2 10 +static const __float128 RDr2[NRDr2 + 1] = +{ + 2.675042728136731923554119302571867799673E-6Q, + 2.170997868451812708585443282998329996268E-4Q, + 7.249969752687540289422684951196241427445E-3Q, + 1.302040375859768674620410563307838448508E-1Q, + 1.380202483082910888897654537144485285549E0Q, + 8.926594113174165352623847870299170069350E0Q, + 3.521089584782616472372909095331572607185E1Q, + 8.233547427533181375185259050330809105570E1Q, + 1.072971579885803033079469639073292840135E2Q, + 6.943803113337964469736022094105143158033E1Q, + 1.775695341031607738233608307835017282662E1Q + /* 1.0E0 */ +}; + +/* erfc(1/x) = 1/x exp(-1/x^2 - 0.5625 + R(1/x^2)) + 1/128 <= 1/x < 1/8 + Peak relative error 2.2e-36 */ +#define NRNr1 9 +static const __float128 RNr1[NRNr1 + 1] = +{ +-4.250780883202361946697751475473042685782E-8Q, +-5.375777053288612282487696975623206383019E-6Q, +-2.573645949220896816208565944117382460452E-4Q, +-6.199032928113542080263152610799113086319E-3Q, +-8.262721198693404060380104048479916247786E-2Q, +-6.242615227257324746371284637695778043982E-1Q, +-2.609874739199595400225113299437099626386E0Q, +-5.581967563336676737146358534602770006970E0Q, +-5.124398923356022609707490956634280573882E0Q, +-1.290865243944292370661544030414667556649E0Q +}; +#define NRDr1 8 +static const __float128 RDr1[NRDr1 + 1] = +{ + 4.308976661749509034845251315983612976224E-6Q, + 3.265390126432780184125233455960049294580E-4Q, + 9.811328839187040701901866531796570418691E-3Q, + 1.511222515036021033410078631914783519649E-1Q, + 1.289264341917429958858379585970225092274E0Q, + 6.147640356182230769548007536914983522270E0Q, + 1.573966871337739784518246317003956180750E1Q, + 1.955534123435095067199574045529218238263E1Q, + 9.472613121363135472247929109615785855865E0Q + /* 1.0E0 */ +}; + + +__float128 +erfq (__float128 x) +{ + __float128 a, y, z; + int32_t i, ix, sign; + ieee854_float128 u; + + u.value = x; + sign = u.words32.w0; + ix = sign & 0x7fffffff; + + if (ix >= 0x7fff0000) + { /* erf(nan)=nan */ + i = ((sign & 0xffff0000) >> 31) << 1; + return (__float128) (1 - i) + one / x; /* erf(+-inf)=+-1 */ + } + + if (ix >= 0x3fff0000) /* |x| >= 1.0 */ + { + y = erfcq (x); + return (one - y); + /* return (one - erfcq (x)); */ + } + u.words32.w0 = ix; + a = u.value; + z = x * x; + if (ix < 0x3ffec000) /* a < 0.875 */ + { + if (ix < 0x3fc60000) /* |x|<2**-57 */ + { + if (ix < 0x00080000) + return 0.125 * (8.0 * x + efx8 * x); /*avoid underflow */ + return x + efx * x; + } + y = a + a * neval (z, TN1, NTN1) / deval (z, TD1, NTD1); + } + else + { + a = a - one; + y = erf_const + neval (a, TN2, NTN2) / deval (a, TD2, NTD2); + } + + if (sign & 0x80000000) /* x < 0 */ + y = -y; + return( y ); +} + + +__float128 +erfcq (__float128 x) +{ + __float128 y = 0.0Q, z, p, r; + int32_t i, ix, sign; + ieee854_float128 u; + + u.value = x; + sign = u.words32.w0; + ix = sign & 0x7fffffff; + u.words32.w0 = ix; + + if (ix >= 0x7fff0000) + { /* erfc(nan)=nan */ + /* erfc(+-inf)=0,2 */ + return (__float128) (((uint32_t) sign >> 31) << 1) + one / x; + } + + if (ix < 0x3ffd0000) /* |x| <1/4 */ + { + if (ix < 0x3f8d0000) /* |x|<2**-114 */ + return one - x; + return one - erfq (x); + } + if (ix < 0x3fff4000) /* 1.25 */ + { + x = u.value; + i = 8.0 * x; + switch (i) + { + case 2: + z = x - 0.25Q; + y = C13b + z * neval (z, RNr13, NRNr13) / deval (z, RDr13, NRDr13); + y += C13a; + break; + case 3: + z = x - 0.375Q; + y = C14b + z * neval (z, RNr14, NRNr14) / deval (z, RDr14, NRDr14); + y += C14a; + break; + case 4: + z = x - 0.5Q; + y = C15b + z * neval (z, RNr15, NRNr15) / deval (z, RDr15, NRDr15); + y += C15a; + break; + case 5: + z = x - 0.625Q; + y = C16b + z * neval (z, RNr16, NRNr16) / deval (z, RDr16, NRDr16); + y += C16a; + break; + case 6: + z = x - 0.75Q; + y = C17b + z * neval (z, RNr17, NRNr17) / deval (z, RDr17, NRDr17); + y += C17a; + break; + case 7: + z = x - 0.875Q; + y = C18b + z * neval (z, RNr18, NRNr18) / deval (z, RDr18, NRDr18); + y += C18a; + break; + case 8: + z = x - 1.0Q; + y = C19b + z * neval (z, RNr19, NRNr19) / deval (z, RDr19, NRDr19); + y += C19a; + break; + case 9: + z = x - 1.125Q; + y = C20b + z * neval (z, RNr20, NRNr20) / deval (z, RDr20, NRDr20); + y += C20a; + break; + } + if (sign & 0x80000000) + y = 2.0Q - y; + return y; + } + /* 1.25 < |x| < 107 */ + if (ix < 0x4005ac00) + { + /* x < -9 */ + if ((ix >= 0x40022000) && (sign & 0x80000000)) + return two - tiny; + + x = fabsq (x); + z = one / (x * x); + i = 8.0 / x; + switch (i) + { + default: + case 0: + p = neval (z, RNr1, NRNr1) / deval (z, RDr1, NRDr1); + break; + case 1: + p = neval (z, RNr2, NRNr2) / deval (z, RDr2, NRDr2); + break; + case 2: + p = neval (z, RNr3, NRNr3) / deval (z, RDr3, NRDr3); + break; + case 3: + p = neval (z, RNr4, NRNr4) / deval (z, RDr4, NRDr4); + break; + case 4: + p = neval (z, RNr5, NRNr5) / deval (z, RDr5, NRDr5); + break; + case 5: + p = neval (z, RNr6, NRNr6) / deval (z, RDr6, NRDr6); + break; + case 6: + p = neval (z, RNr7, NRNr7) / deval (z, RDr7, NRDr7); + break; + case 7: + p = neval (z, RNr8, NRNr8) / deval (z, RDr8, NRDr8); + break; + } + u.value = x; + u.words32.w3 = 0; + u.words32.w2 &= 0xfe000000; + z = u.value; + r = expq (-z * z - 0.5625) * expq ((z - x) * (z + x) + p); + if ((sign & 0x80000000) == 0) + return r / x; + else + return two - r / x; + } + else + { + if ((sign & 0x80000000) == 0) + return tiny * tiny; + else + return two - tiny; + } +} diff --git a/libquadmath/math/expm1q.c b/libquadmath/math/expm1q.c new file mode 100644 index 000000000..510c98fe4 --- /dev/null +++ b/libquadmath/math/expm1q.c @@ -0,0 +1,158 @@ +/* expm1l.c + * + * Exponential function, minus 1 + * 128-bit __float128 precision + * + * + * + * SYNOPSIS: + * + * __float128 x, y, expm1l(); + * + * y = expm1l( x ); + * + * + * + * DESCRIPTION: + * + * Returns e (2.71828...) raised to the x power, minus one. + * + * Range reduction is accomplished by separating the argument + * into an integer k and fraction f such that + * + * x k f + * e = 2 e. + * + * An expansion x + .5 x^2 + x^3 R(x) approximates exp(f) - 1 + * in the basic range [-0.5 ln 2, 0.5 ln 2]. + * + * + * ACCURACY: + * + * Relative error: + * arithmetic domain # trials peak rms + * IEEE -79,+MAXLOG 100,000 1.7e-34 4.5e-35 + * + */ + +/* Copyright 2001 by Stephen L. Moshier + + This library is free software; you can redistribute it and/or + modify it under the terms of the GNU Lesser General Public + License as published by the Free Software Foundation; either + version 2.1 of the License, or (at your option) any later version. + + This library is distributed in the hope that it will be useful, + but WITHOUT ANY WARRANTY; without even the implied warranty of + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + Lesser General Public License for more details. + + You should have received a copy of the GNU Lesser General Public + License along with this library; if not, write to the Free Software + Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA */ + + + +#include "quadmath-imp.h" + +/* exp(x) - 1 = x + 0.5 x^2 + x^3 P(x)/Q(x) + -.5 ln 2 < x < .5 ln 2 + Theoretical peak relative error = 8.1e-36 */ + +static const __float128 + P0 = 2.943520915569954073888921213330863757240E8Q, + P1 = -5.722847283900608941516165725053359168840E7Q, + P2 = 8.944630806357575461578107295909719817253E6Q, + P3 = -7.212432713558031519943281748462837065308E5Q, + P4 = 4.578962475841642634225390068461943438441E4Q, + P5 = -1.716772506388927649032068540558788106762E3Q, + P6 = 4.401308817383362136048032038528753151144E1Q, + P7 = -4.888737542888633647784737721812546636240E-1Q, + Q0 = 1.766112549341972444333352727998584753865E9Q, + Q1 = -7.848989743695296475743081255027098295771E8Q, + Q2 = 1.615869009634292424463780387327037251069E8Q, + Q3 = -2.019684072836541751428967854947019415698E7Q, + Q4 = 1.682912729190313538934190635536631941751E6Q, + Q5 = -9.615511549171441430850103489315371768998E4Q, + Q6 = 3.697714952261803935521187272204485251835E3Q, + Q7 = -8.802340681794263968892934703309274564037E1Q, + /* Q8 = 1.000000000000000000000000000000000000000E0 */ +/* C1 + C2 = ln 2 */ + + C1 = 6.93145751953125E-1Q, + C2 = 1.428606820309417232121458176568075500134E-6Q, +/* ln (2^16384 * (1 - 2^-113)) */ + maxlog = 1.1356523406294143949491931077970764891253E4Q, +/* ln 2^-114 */ + minarg = -7.9018778583833765273564461846232128760607E1Q; + + +__float128 +expm1q (__float128 x) +{ + __float128 px, qx, xx; + int32_t ix, sign; + ieee854_float128 u; + int k; + + /* Detect infinity and NaN. */ + u.value = x; + ix = u.words32.w0; + sign = ix & 0x80000000; + ix &= 0x7fffffff; + if (ix >= 0x7fff0000) + { + /* Infinity. */ + if (((ix & 0xffff) | u.words32.w1 | u.words32.w2 | u.words32.w3) == 0) + { + if (sign) + return -1.0Q; + else + return x; + } + /* NaN. No invalid exception. */ + return x; + } + + /* expm1(+- 0) = +- 0. */ + if ((ix == 0) && (u.words32.w1 | u.words32.w2 | u.words32.w3) == 0) + return x; + + /* Overflow. */ + if (x > maxlog) + return (HUGE_VALQ * HUGE_VALQ); + + /* Minimum value. */ + if (x < minarg) + return (4.0/HUGE_VALQ - 1.0Q); + + /* Express x = ln 2 (k + remainder), remainder not exceeding 1/2. */ + xx = C1 + C2; /* ln 2. */ + px = floorq (0.5 + x / xx); + k = px; + /* remainder times ln 2 */ + x -= px * C1; + x -= px * C2; + + /* Approximate exp(remainder ln 2). */ + px = (((((((P7 * x + + P6) * x + + P5) * x + P4) * x + P3) * x + P2) * x + P1) * x + P0) * x; + + qx = (((((((x + + Q7) * x + + Q6) * x + Q5) * x + Q4) * x + Q3) * x + Q2) * x + Q1) * x + Q0; + + xx = x * x; + qx = x + (0.5 * xx + xx * px / qx); + + /* exp(x) = exp(k ln 2) exp(remainder ln 2) = 2^k exp(remainder ln 2). + + We have qx = exp(remainder ln 2) - 1, so + exp(x) - 1 = 2^k (qx + 1) - 1 + = 2^k qx + 2^k - 1. */ + + px = ldexpq (1.0Q, k); + x = px * qx + (px - 1.0); + return x; +} diff --git a/libquadmath/math/expq.c b/libquadmath/math/expq.c new file mode 100644 index 000000000..2740b4e2c --- /dev/null +++ b/libquadmath/math/expq.c @@ -0,0 +1,1214 @@ +/* Quad-precision floating point e^x. + Copyright (C) 1999 Free Software Foundation, Inc. + This file is part of the GNU C Library. + Contributed by Jakub Jelinek <jj@ultra.linux.cz> + Partly based on double-precision code + by Geoffrey Keating <geoffk@ozemail.com.au> + + The GNU C Library is free software; you can redistribute it and/or + modify it under the terms of the GNU Lesser General Public + License as published by the Free Software Foundation; either + version 2.1 of the License, or (at your option) any later version. + + The GNU C Library is distributed in the hope that it will be useful, + but WITHOUT ANY WARRANTY; without even the implied warranty of + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + Lesser General Public License for more details. + + You should have received a copy of the GNU Lesser General Public + License along with the GNU C Library; if not, write to the Free + Software Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA + 02111-1307 USA. */ + +#include "quadmath-imp.h" +#ifdef HAVE_FENV_H +# include <fenv.h> +# if defined HAVE_FEHOLDEXCEPT && defined HAVE_FESETROUND \ + && defined HAVE_FESETENV && defined FE_TONEAREST +# define USE_FENV_H +# endif +#endif + + +/* __expl_table basically consists of four tables, T_EXPL_ARG{1,2} and + T_EXPL_RES{1,2}. All tables use positive and negative indexes, the 0 points + are marked by T_EXPL_* defines. + For ARG1 and RES1 tables lets B be 89 and S 256.0, for ARG2 and RES2 B is 65 + and S 32768.0. + These table have the property that, for all integers -B <= i <= B + expl(__expl_table[T_EXPL_ARGN+2*i]+__expl_table[T_EXPL_ARGN+2*i+1]+r) == + __expl_table[T_EXPL_RESN+i], __expl_table[T_EXPL_RESN+i] is some exact number + with the low 58 bits of the mantissa 0, + __expl_table[T_EXPL_ARGN+2*i] == i/S+s + where absl(s) <= 2^-54 and absl(r) <= 2^-212. */ + +static const __float128 __expl_table [] = { + -3.47656250000000000584188889839535373E-01Q, /* bffd640000000000002b1b04213cf000 */ + 6.90417668990715641167244540876988960E-32Q, /* 3f97667c3fdb588a6ae1af8748357a17 */ + -3.43749999999999981853132895957607418E-01Q, /* bffd5ffffffffffffac4ff5f4050b000 */ + -7.16021898043268093462818380603370350E-33Q, /* bf94296c8219427edc1431ac2498583e */ + -3.39843750000000013418643523138766329E-01Q, /* bffd5c000000000003de1f027a30e000 */ + 8.16920774283317801641347327589583265E-32Q, /* 3f97a82b65774bdca1b4440d749ed8d3 */ + -3.35937500000000014998092453039303051E-01Q, /* bffd5800000000000452a9f4d8857000 */ + -6.55865578425428447938248396879359670E-32Q, /* bf97548b7d240f3d034b395e6eecfac8 */ + -3.32031250000000000981984049529998541E-01Q, /* bffd540000000000004875277cda5000 */ + 6.91213046334032232108944519541512737E-32Q, /* 3f9766e5f925338a19045c94443b66e1 */ + -3.28124999999999986646017645350399708E-01Q, /* bffd4ffffffffffffc26a667bf44d000 */ + -6.16281060996110316602421505683742661E-32Q, /* bf973ffdcdcffb6fbffc86b2b8d42f5d */ + -3.24218749999999991645717430645867963E-01Q, /* bffd4bfffffffffffd97901063e48000 */ + -7.90797211087760527593856542417304137E-32Q, /* bf979a9afaaca1ada6a8ed1c80584d60 */ + -3.20312499999999998918211610690789652E-01Q, /* bffd47ffffffffffffb02d9856d71000 */ + 8.64024799457616856987630373786503376E-32Q, /* 3f97c0a098623f95579d5d9b2b67342d */ + -3.16406249999999998153974811017181883E-01Q, /* bffd43ffffffffffff77c991f1076000 */ + -2.73176610180696076418536105483668404E-32Q, /* bf961baeccb32f9b1fcbb8e60468e95a */ + -3.12500000000000011420976192575972779E-01Q, /* bffd400000000000034ab8240483d000 */ + 7.16573502812389453744433792609989420E-32Q, /* 3f977410f4c2cfc4335f28446c0fb363 */ + -3.08593750000000001735496343854851414E-01Q, /* bffd3c000000000000800e995c176000 */ + -1.56292999645122272621237565671593071E-32Q, /* bf95449b9cbdaff6ac1246adb2c826ac */ + -3.04687499999999982592401295899221626E-01Q, /* bffd37fffffffffffafb8bc1e061a000 */ + 6.48993208584888904958594509625158417E-32Q, /* 3f9750f9fe8366d82d77afa0031a92e1 */ + -3.00781249999999999230616898937763959E-01Q, /* bffd33ffffffffffffc73ac39da54000 */ + 6.57082437496961397305801409357792029E-32Q, /* 3f97552d3cb598ea80135cf3feb27ec4 */ + -2.96874999999999998788769281703245722E-01Q, /* bffd2fffffffffffffa6a07fa5021000 */ + -3.26588297198283968096426564544269170E-32Q, /* bf9653260fc1802f46b629aee171809b */ + -2.92968750000000015318089182805941695E-01Q, /* bffd2c0000000000046a468614bd6000 */ + -1.73291974845198589684358727559290718E-32Q, /* bf9567e9d158f52e483c8d8dcb5961dd */ + -2.89062500000000007736778942676309681E-01Q, /* bffd280000000000023adf9f4c3d3000 */ + -6.83629745986675744404029225571026236E-32Q, /* bf9762f5face6281c1daf1c6aedbdb45 */ + -2.85156250000000001367091555763661937E-01Q, /* bffd2400000000000064dfa11e3fb000 */ + -5.44898442619766878281110054067026237E-32Q, /* bf971aed6d2db9f542986a785edae072 */ + -2.81249999999999986958718100227029406E-01Q, /* bffd1ffffffffffffc3db9265ca9d000 */ + 1.13007318374506125723591889451107046E-32Q, /* 3f94d569fe387f456a97902907ac3856 */ + -2.77343750000000000356078829380495179E-01Q, /* bffd1c0000000000001a462390083000 */ + -4.98979365468978332358409063436543102E-32Q, /* bf970315bbf3e0d14b5c94c900702d4c */ + -2.73437499999999990276993957508540484E-01Q, /* bffd17fffffffffffd32919bcdc94000 */ + -8.79390484115892344533724650295100871E-32Q, /* bf97c89b0b89cc19c3ab2b60da9bbbc3 */ + -2.69531250000000002434203866460082225E-01Q, /* bffd14000000000000b39ccf9e130000 */ + 9.44060754687026590886751809927191596E-32Q, /* 3f97ea2f32cfecca5c64a26137a9210f */ + -2.65624999999999997296320716986257179E-01Q, /* bffd0fffffffffffff3880f13a2bc000 */ + 2.07142664067265697791007875348396921E-32Q, /* 3f95ae37ee685b9122fbe377bd205ee4 */ + -2.61718750000000010237478733739017956E-01Q, /* bffd0c000000000002f3648179d40000 */ + -6.10552936159265665298996309192680256E-32Q, /* bf973d0467d31e407515a3cca0f3b4e2 */ + -2.57812500000000011948220522778370303E-01Q, /* bffd08000000000003719f81275bd000 */ + 6.72477169058908902499239631466443836E-32Q, /* 3f975d2b8c475d3160cf72d227d8e6f9 */ + -2.53906249999999991822993360536596860E-01Q, /* bffd03fffffffffffda4a4b62f818000 */ + -2.44868296623215865054704392917190994E-32Q, /* bf95fc92516c6d057d29fc2528855976 */ + -2.49999999999999986862019457428548084E-01Q, /* bffcfffffffffffff86d2d20d5ff4000 */ + -3.85302898949105073614122724961613078E-32Q, /* bf96901f147cb7d643af71b6129ce929 */ + -2.46093750000000000237554160737318435E-01Q, /* bffcf8000000000000230e8ade26b000 */ + -1.52823675242678363494345369284988589E-32Q, /* bf953d6700c5f3fc303f79d0ec8c680a */ + -2.42187500000000003023380963205457065E-01Q, /* bffcf0000000000001be2c1a78bb0000 */ + -7.78402037952209709489481182714311699E-34Q, /* bf9102ab1f3998e887f0ee4cf940faa5 */ + -2.38281249999999995309623303145485725E-01Q, /* bffce7fffffffffffd4bd2940f43f000 */ + -3.54307216794236899443913216397197696E-32Q, /* bf966fef03ab69c3f289436205b21d02 */ + -2.34374999999999998425804947623207526E-01Q, /* bffcdfffffffffffff17b097a6092000 */ + -2.86038428948386602859761879407549696E-32Q, /* bf96290a0eba0131efe3a05fe188f2e3 */ + -2.30468749999999993822207406785200832E-01Q, /* bffcd7fffffffffffc70519834eae000 */ + -2.54339521031747516806893838749365762E-32Q, /* bf96081f0ad7f9107ae6cddb32c178ab */ + -2.26562499999999997823524030344489884E-01Q, /* bffccffffffffffffebecf10093df000 */ + 4.31904611473158635644635628922959401E-32Q, /* 3f96c083f0b1faa7c4c686193e38d67c */ + -2.22656250000000004835132405125162742E-01Q, /* bffcc8000000000002c98a233f19f000 */ + 2.54709791629335691650310168420597566E-33Q, /* 3f92a735903f5eed07a716ab931e20d9 */ + -2.18749999999999988969454021829236626E-01Q, /* bffcbffffffffffff9a42dc14ce36000 */ + -3.77236096429336082213752014054909454E-32Q, /* bf9687be8e5b2fca54d3e81157eac660 */ + -2.14843750000000010613256919115758495E-01Q, /* bffcb80000000000061e3d828ecac000 */ + -4.55194148712216691177097854305964738E-32Q, /* bf96d8b35c776aa3e1a4768271380503 */ + -2.10937499999999993204656148110447201E-01Q, /* bffcaffffffffffffc152f2aea118000 */ + -2.95044199165561453749332254271716417E-32Q, /* bf96326433b00b2439094d9bef22ddd1 */ + -2.07031250000000012233944895423355677E-01Q, /* bffca80000000000070d695ee0e94000 */ + 1.93146788688385419095981415411012357E-32Q, /* 3f959126729135a5e390d4bb802a0bde */ + -2.03125000000000008030983633336321863E-01Q, /* bffca0000000000004a129fbc51af000 */ + 2.37361904671826193563212931215900137E-32Q, /* 3f95ecfb3c4ba1b97ea3ad45cbb1e68a */ + -1.99218750000000001763815712796132779E-01Q, /* bffc98000000000001044b12d9950000 */ + -3.63171243370923753295192486732883239E-33Q, /* bf932db5fb3f27c38e0fa7bbcfc64f55 */ + -1.95312500000000004883660234506677272E-01Q, /* bffc90000000000002d0b3779d1f9000 */ + -3.19989507343607877747980892249711601E-33Q, /* bf9309d63de96bb3ef744c865f22f1bd */ + -1.91406250000000013720152363227519348E-01Q, /* bffc88000000000007e8bcb387121000 */ + -1.89295754093147174148371614722178860E-32Q, /* bf958926e2e67dfe812c508290add2e7 */ + -1.87500000000000000182342082774432620E-01Q, /* bffc800000000000001ae8b06a39f000 */ + -2.96812835183184815200854214892983927E-32Q, /* bf96343a62d156bbe71f55d14ca4b6e5 */ + -1.83593750000000012410147185883290345E-01Q, /* bffc78000000000007276a1adda8d000 */ + -2.02191931237489669058466239995304587E-32Q, /* bf95a3efab92d26ec2df90df036a117f */ + -1.79687499999999997439177363346082917E-01Q, /* bffc6ffffffffffffe8616db2927d000 */ + -9.92752326937775530007399526834009465E-33Q, /* bf949c5f88ed17041e1a3f1829d543cd */ + -1.75781249999999995824373974504785174E-01Q, /* bffc67fffffffffffd97c94f13ea3000 */ + 1.44184772065335613487885714828816178E-32Q, /* 3f952b75c63476e7fcc2f5841c27bcce */ + -1.71874999999999986685050259043077809E-01Q, /* bffc5ffffffffffff8530f6bc531a000 */ + -3.49007014971241147689894940544402482E-32Q, /* bf966a6dfaa012aea8ffe6d90b02330f */ + -1.67968749999999997316058782350439701E-01Q, /* bffc57fffffffffffe73eb914f2aa000 */ + 3.34025733574205019081305778794376391E-32Q, /* 3f965adf4572561fd5456a6c13d8babf */ + -1.64062499999999993322730602128318480E-01Q, /* bffc4ffffffffffffc269be4f68f3000 */ + -1.83345916769684984022099095506340635E-32Q, /* bf957ccb69026cb2f6024c211576d5f4 */ + -1.60156249999999992419000744447607979E-01Q, /* bffc47fffffffffffba13df21784a000 */ + 2.73442789798110494773517431626534726E-32Q, /* 3f961bf58ff22c9b30f1e2b39f26d7d5 */ + -1.56249999999999987665010524130393080E-01Q, /* bffc3ffffffffffff8e3ad45e7508000 */ + 2.02695576464836145806428118889332191E-32Q, /* 3f95a4fb7435a4a2f71de81eb8ae75d1 */ + -1.52343749999999989905291167951491803E-01Q, /* bffc37fffffffffffa2e48aecfc24000 */ + -3.61436631548815190395331054871041524E-32Q, /* bf967756567ebd108075ae527cc2e7f0 */ + -1.48437500000000006686107754967759751E-01Q, /* bffc30000000000003dab20261b3c000 */ + -2.15524270159131591469319477922198390E-32Q, /* bf95bfa05b82ef3a708c4f0395e9fcf6 */ + -1.44531250000000005132889939177166485E-01Q, /* bffc28000000000002f57b1969e7b000 */ + 2.74741116529653547935086189244019604E-32Q, /* 3f961d4eb77c1185d34fe1b04a3f3cf5 */ + -1.40625000000000000707469094533647325E-01Q, /* bffc2000000000000068676d3d5c4000 */ + 4.40607097220049957013547629906723266E-33Q, /* 3f936e0ac425daf795b42913cf0ef881 */ + -1.36718749999999995713752139187543306E-01Q, /* bffc17fffffffffffd87762255991000 */ + -3.73751317180116492404578048203389108E-32Q, /* bf9684202491e9cbb7ceb67d9ff7e0c9 */ + -1.32812500000000007198453630478482191E-01Q, /* bffc10000000000004264de3a4379000 */ + -3.97050085179660203884930593717220728E-32Q, /* bf969c52048de14be3c9c1971e50869c */ + -1.28906250000000006070486371645733082E-01Q, /* bffc080000000000037fd87db2cb0000 */ + 3.59610068058504988294019521946586131E-32Q, /* 3f967570c10687cb8e9ebd0b280abf5a */ + -1.25000000000000003700729208608337966E-01Q, /* bffc00000000000002222198bbc74000 */ + 3.23464851393124362331846965931995969E-33Q, /* 3f930cb95da3bfc847e593716c91d57a */ + -1.21093750000000013729038501177102555E-01Q, /* bffbf000000000000fd418d1f5fda000 */ + 2.45242487730722066611358741283977619E-32Q, /* 3f95fd5945ad86a464292e26ac192a84 */ + -1.17187499999999999765305306880205578E-01Q, /* bffbdfffffffffffffbabaf869845000 */ + -1.14557520298960389903199646350205537E-32Q, /* bf94dbda735322179d9bcf392e1dd06d */ + -1.13281250000000009579647893740755690E-01Q, /* bffbd000000000000b0b69bae7ab9000 */ + 2.37873962873837390105423621772752350E-32Q, /* 3f95ee0b7e0bd5ac1f6fab1e2a71abc3 */ + -1.09375000000000008981153004560108539E-01Q, /* bffbc000000000000a5ac4bc1d2c3000 */ + 1.53152444860014076105003555837231015E-32Q, /* 3f953e15ce931e12ef9a152522e32bdd */ + -1.05468749999999992399063850363228723E-01Q, /* bffbaffffffffffff73c998091408000 */ + -8.75920903597804862471749360196688834E-33Q, /* bf946bd7e310a01bae5687ebdc47fcc5 */ + -1.01562500000000007685885179918350550E-01Q, /* bffba0000000000008dc7910a648c000 */ + -4.63820993797174451904075397785059501E-33Q, /* bf938153d0e54001a472da180fb5e8aa */ + -9.76562499999999887262211517861331814E-02Q, /* bffb8ffffffffffff300915aa6fd6000 */ + -2.63767025974952608658936466715705903E-33Q, /* bf92b64215bb8d520be5404620d38088 */ + -9.37499999999999939650246024457439795E-02Q, /* bffb7ffffffffffff90aca26bd0fc000 */ + -1.72047822349322956713582039121348377E-32Q, /* bf9565545015c5b9b56d02cfefca2c7d */ + -8.98437500000000033088896383977486369E-02Q, /* bffb70000000000003d09ca1e3cbe000 */ + 3.04831994420989436248526129869697270E-33Q, /* 3f92fa7d30d2ed90e7ebbd6231fd08b1 */ + -8.59374999999999947312400115121319225E-02Q, /* bffb5ffffffffffff9ecefc03376e000 */ + 1.50416954438393392150792422537312281E-32Q, /* 3f9538675ee99bd722fad0023c09c915 */ + -8.20312500000000054182280847004695514E-02Q, /* bffb500000000000063f2dbd40200000 */ + 2.68399664523430004488075638997207289E-33Q, /* 3f92bdf49766629882c49a3da88928ed */ + -7.81250000000000114767533968079748798E-02Q, /* bffb4000000000000d3b56f81ba70000 */ + 1.72318124201659121296305402819694281E-32Q, /* 3f9565e407aaabfb359e8a567d760de3 */ + -7.42187500000000035531829472486812869E-02Q, /* bffb3000000000000418b6e9b5388000 */ + 2.09401756478514117051383998628099655E-32Q, /* 3f95b2e91221fcd74be0a86d8ad658d2 */ + -7.03124999999999987474933134860732535E-02Q, /* bffb1ffffffffffffe8e53453d2ac000 */ + 2.28515798224350800271565551341211666E-32Q, /* 3f95da9bd6adf00894f05b5cc5530125 */ + -6.64062500000000042267533361089054159E-02Q, /* bffb10000000000004df8473dbcf2000 */ + 1.97576478800281368377376002585430031E-32Q, /* 3f959a59acbddb2f53bd3096b66370e9 */ + -6.25000000000000066329769382774201686E-02Q, /* bffb00000000000007a5b5914e336000 */ + -1.46422615813786836245343723048221678E-33Q, /* bf91e69295f069fc0c4a9db181ea25a3 */ + -5.85937500000000002823707957982406053E-02Q, /* bffae0000000000000a6aeab10592000 */ + 9.25637741701318872896718218457555829E-33Q, /* 3f94807eb021f1f40a37d4015b1eb76b */ + -5.46875000000000081586888005226044448E-02Q, /* bffac0000000000012d00a3171e3a000 */ + -4.87144542459404765480424673678105050E-33Q, /* bf9394b42faba6b7036fe7b36269daf3 */ + -5.07812499999999927720348253140567013E-02Q, /* bffa9fffffffffffef555cc8dd914000 */ + -3.01901021987395945826043649523451725E-33Q, /* bf92f59e7e3025691f290f8f67277faf */ + -4.68749999999999935349476738962633103E-02Q, /* bffa7ffffffffffff117b4ea2b876000 */ + 1.21521638219189777347767475937119750E-32Q, /* 3f94f8c7f88c5b56674b94d984ac8ecb */ + -4.29687500000000056305562847814228219E-02Q, /* bffa6000000000000cfbb19be30c0000 */ + -1.18643699217679276275559592978275214E-32Q, /* bf94ecd39f0833a876550e83eb012b99 */ + -3.90624999999999962692914526031373542E-02Q, /* bffa3ffffffffffff765c743922f9000 */ + -4.91277156857520035712509544689973679E-33Q, /* bf939823189996193872e58ac0dececb */ + -3.51562500000000108152468207687602886E-02Q, /* bffa20000000000018f031e41177f000 */ + 1.18599806302656253755207072755609820E-32Q, /* 3f94eca4f23e787fab73ce8f6b9b8d64 */ + -3.12500000000000077376981036742289578E-02Q, /* bffa00000000000011d787e0b386f000 */ + 9.97730386477005171963635210799577079E-33Q, /* 3f949e70e498c46a0173ac0d46c699fc */ + -2.73437500000000139436129596418623235E-02Q, /* bff9c00000000000404db66e70a08000 */ + 2.25755321633070123579875157841633859E-33Q, /* 3f927719b1a93074bdf9f3c2cb784785 */ + -2.34375000000000088003629211828324876E-02Q, /* bff98000000000002895a27d45feb000 */ + 2.84374279216848803102126617873942975E-33Q, /* 3f92d87f70e749d6da6c260b68dc210b */ + -1.95312500000000107408831063404855424E-02Q, /* bff9400000000000318898ba69f71000 */ + 2.47348089686935458989103979140011912E-33Q, /* 3f929afa3de45086fe909fdddb41edce */ + -1.56250000000000081443917555362290635E-02Q, /* bff9000000000000258f335e9cdd6000 */ + -2.43379314483517422161458863218426254E-33Q, /* bf9294621c8a9ccacf2b020ec19cad27 */ + -1.17187500000000051490597418161403184E-02Q, /* bff88000000000002f7ddfa26221f000 */ + 1.83405297208145390679150568810924707E-33Q, /* 3f9230bbfc5d5fe1b534fbcda0465bb9 */ + -7.81249999999999715861805208310174953E-03Q, /* bff7ffffffffffffcb95f3fff157d000 */ + 3.51548384878710915171654413641872451E-34Q, /* 3f8fd349b76c22966f77a39fc37ed704 */ + -3.90625000000000309326013918295097128E-03Q, /* bff7000000000000390f820c8e153000 */ + 6.38058004651791109324060099097251911E-36Q, /* 3f8a0f665d3ac25a1ac94d688273dbcd */ +#define T_EXPL_ARG1 (2*89) + 0.00000000000000000000000000000000000E+00Q, /* 00000000000000000000000000000000 */ + 0.00000000000000000000000000000000000E+00Q, /* 00000000000000000000000000000000 */ + 3.90625000000000245479958859972588985E-03Q, /* 3ff70000000000002d48769ac9874000 */ + -6.58439598384342854976169982902779828E-36Q, /* bf8a1811b923e6c626b07ef29761482a */ + 7.81250000000001311374391093664996358E-03Q, /* 3ff800000000000078f3f3cd89111000 */ + 2.60265650555493781464273319671555602E-33Q, /* 3f92b070c3b635b87af426735a71fc87 */ + 1.17187500000000269581156218247101912E-02Q, /* 3ff8800000000000f8a50d02fe20d000 */ + 1.00961747974945520631836275894919326E-33Q, /* 3f914f80c1a4f8042044fe3b757b030b */ + 1.56249999999999797878275270751825475E-02Q, /* 3ff8ffffffffffff45935b69da62e000 */ + 2.03174577741375590087897353146748580E-33Q, /* 3f925194e863496e0f6e91cbf6b22e26 */ + 1.95312499999999760319884511789111533E-02Q, /* 3ff93fffffffffff917790ff9a8f4000 */ + 4.62788519658803722282100289809515007E-33Q, /* 3f9380783ba81295feeb3e4879d7d52d */ + 2.34374999999999822953909016349145918E-02Q, /* 3ff97fffffffffffae5a163bd3cd5000 */ + -3.19499956304699705390404384504876533E-33Q, /* bf93096e2037ced8194cf344c692f8d6 */ + 2.73437500000000137220327275871555682E-02Q, /* 3ff9c000000000003f481dea5dd51000 */ + -2.25757776523031994464630107442723424E-33Q, /* bf92771abcf988a02b414bf2614e3734 */ + 3.12499999999999790857640618332718621E-02Q, /* 3ff9ffffffffffff9f8cd40b51509000 */ + -4.22479470489989916319395454536511458E-33Q, /* bf935efb7245612f371deca17cb7b30c */ + 3.51562499999999840753382405747597346E-02Q, /* 3ffa1fffffffffffdb47bd275f722000 */ + 1.08459658374118041980976756063083500E-34Q, /* 3f8e2055d18b7117c9db1c318b1e889b */ + 3.90624999999999989384433621470426757E-02Q, /* 3ffa3ffffffffffffd8d5e18b042e000 */ + -7.41674226146122000759491297811091830E-33Q, /* bf94341454e48029e5b0205d91baffdc */ + 4.29687500000000107505739500500200462E-02Q, /* 3ffa60000000000018ca04cd9085c000 */ + -4.74689012756713017494437969420919847E-34Q, /* bf903b7c268103c6f7fbaaa24142e287 */ + 4.68749999999999978700749928325717352E-02Q, /* 3ffa7ffffffffffffb16b6d5479e3000 */ + -1.06208165308448830117773486334902917E-32Q, /* bf94b92be4b3b5b5a596a0a5187cc955 */ + 5.07812499999999815072625435955786253E-02Q, /* 3ffa9fffffffffffd55bd086d5cbc000 */ + -9.37038897148383660401929567549111394E-33Q, /* bf94853b111b0175b491c80d00419416 */ + 5.46874999999999809511553152189867394E-02Q, /* 3ffabfffffffffffd4138bfa74a61000 */ + 1.06642963074562437340498606682822123E-32Q, /* 3f94bafa3fe991b39255d563dfa05d89 */ + 5.85937500000000184331996330905145551E-02Q, /* 3ffae000000000002a810a5f2f8bf000 */ + -1.76639977694797200820296641773791945E-34Q, /* bf8ed596f07ce4408f1705c8ec16864c */ + 6.25000000000000021544696744852045001E-02Q, /* 3ffb000000000000027be32045e2b000 */ + 1.68616371995798354366633034788947149E-32Q, /* 3f955e33d7440794d8a1b25233d086ab */ + 6.64062499999999965563110718495802889E-02Q, /* 3ffb0ffffffffffffc079a38a3fed000 */ + -1.82463217667830160048872113565316215E-32Q, /* bf957af6163bcdb97cefab44a942482a */ + 7.03124999999999759989183341261898222E-02Q, /* 3ffb1fffffffffffe454218acea05000 */ + -1.07843770101525495515646940862541503E-32Q, /* bf94bff72aada26d94e76e71c07e0580 */ + 7.42187499999999898968873730710101412E-02Q, /* 3ffb2ffffffffffff45a166496dc1000 */ + 1.28629441689592874462780757154138223E-32Q, /* 3f950b2724597b8b93ce1e9d1cf4d035 */ + 7.81249999999999957198938523510804668E-02Q, /* 3ffb3ffffffffffffb10bc52adbc5000 */ + 1.13297573459968118467100063135856856E-33Q, /* 3f91787eea895b3c245899cf34ad0abd */ + 8.20312500000000199911640621145851159E-02Q, /* 3ffb500000000000170c59a661a89000 */ + -1.51161335208135146756554123073528707E-32Q, /* bf9539f326c5ca84e7db5401566f3775 */ + 8.59375000000000134175373433347670743E-02Q, /* 3ffb6000000000000f78287547af0000 */ + 1.09763629458404270323909815379924900E-32Q, /* 3f94c7f0b61b6e3e27d44b9f5bbc7e9d */ + 8.98437500000000036533922600308306335E-02Q, /* 3ffb70000000000004364a83b7a14000 */ + 3.11459653680110433194288029777718358E-33Q, /* 3f9302c0248136d65cebeab69488d949 */ + 9.37500000000000184977946245216914691E-02Q, /* 3ffb800000000000155395d870b17000 */ + -4.66656154468277949130395786965043927E-33Q, /* bf9383aec9b993b6db492b1ede786d8a */ + 9.76562500000000237839723100419376084E-02Q, /* 3ffb9000000000001b6bca237f6c4000 */ + -1.03028043424658760249140747856831301E-32Q, /* bf94abf6352e3d2bb398e47919a343fb */ + 1.01562500000000012345545575236836572E-01Q, /* 3ffba000000000000e3bc30cd9a1f000 */ + 2.15755372310795701322789783729456319E-32Q, /* 3f95c01b3b819edd9d07548fafd61550 */ + 1.05468749999999976493840484471911438E-01Q, /* 3ffbafffffffffffe4e634cd77985000 */ + 1.78771847038773333029677216592309083E-32Q, /* 3f95734b6ae650f33dd43c49a1df9fc0 */ + 1.09375000000000002267015055992785402E-01Q, /* 3ffbc00000000000029d1ad08de7b000 */ + 6.23263106693943817730045115112427717E-33Q, /* 3f9402e4b39ce2198a45e1d045868cd6 */ + 1.13281250000000022354208618429577398E-01Q, /* 3ffbd0000000000019c5cc3f9d2b5000 */ + 5.40514416644786448581426756221178868E-33Q, /* 3f93c10ab4021472c662f69435de9269 */ + 1.17187500000000013252367133076817603E-01Q, /* 3ffbe000000000000f47688cc561b000 */ + -7.12412585457324989451327215568641325E-33Q, /* bf9427ecb343a8d1758990565fcfbf45 */ + 1.21093750000000020759863992944300792E-01Q, /* 3ffbf0000000000017ef3af97bf04000 */ + 6.26591408357572503875647872077266444E-33Q, /* 3f940446a09a2da771b45fc075514d12 */ + 1.25000000000000004739659392396765618E-01Q, /* 3ffc00000000000002bb7344ecd89000 */ + -1.55611398459729463981000080101758830E-32Q, /* bf95433135febefa9e6aa4db39e263d2 */ + 1.28906249999999982360888081057894783E-01Q, /* 3ffc07fffffffffff5d4ed3154361000 */ + -1.77531518652835570781208599686606474E-32Q, /* bf9570b7f225ea076f97f418d11359c1 */ + 1.32812500000000010568583998727400436E-01Q, /* 3ffc1000000000000617a5d09526a000 */ + 2.12104021624990594668286391598300893E-32Q, /* 3f95b885d767a1048d93055927a27adc */ + 1.36718749999999998434125157367005292E-01Q, /* 3ffc17ffffffffffff18eaebc7970000 */ + 2.50454798592543203967309921276955297E-32Q, /* 3f9604164e5598528a76faff26cd1c97 */ + 1.40625000000000015550032422969330356E-01Q, /* 3ffc20000000000008f6c79d8928c000 */ + 7.80972982879849783680252962992639832E-33Q, /* 3f9444674acf2b3225c7647e0d95edf3 */ + 1.44531250000000012402535562111122522E-01Q, /* 3ffc28000000000007264a8bc1ff1000 */ + 2.79662468716455159585514763921671876E-32Q, /* 3f96226b095bd78aa650faf95a221993 */ + 1.48437500000000007761020440087419948E-01Q, /* 3ffc3000000000000479530ff8fe3000 */ + 2.15518492972728435680556239996258527E-32Q, /* 3f95bf9d49295e73a957906a029768cb */ + 1.52343750000000001733189947520484032E-01Q, /* 3ffc38000000000000ffc6109f71f000 */ + 8.34032236093545825619420380704500188E-33Q, /* 3f945a71851226a1d0ce5e656693153e */ + 1.56249999999999988073295321246958484E-01Q, /* 3ffc3ffffffffffff91fedd62ae0f000 */ + 2.44119337150624789345260194989620908E-32Q, /* 3f95fb041a57bc1c1280680ac1620bea */ + 1.60156250000000002076894210913572460E-01Q, /* 3ffc48000000000001327ed84a199000 */ + -7.36124501128859978061216696286151753E-33Q, /* bf9431c62f01e59d2c1e00f195a0037f */ + 1.64062500000000000950861276373482172E-01Q, /* 3ffc500000000000008c5285fba85000 */ + -4.80566184447001164583855800470217373E-33Q, /* bf938f3d1fcafd390f22f80e6c19421f */ + 1.67968749999999989878071706155265999E-01Q, /* 3ffc57fffffffffffa2a445c548c5000 */ + -4.42154428718618459799673088733365064E-32Q, /* bf96cb28cf1c1b28006d53ffe633b22a */ + 1.71874999999999999459734108403218175E-01Q, /* 3ffc5fffffffffffffb04554e9dd4000 */ + -3.29736288190321377985697972236270628E-32Q, /* bf96566af0ebc852e84be12859b24a31 */ + 1.75781249999999997987525759778901845E-01Q, /* 3ffc67fffffffffffed702df6ffff000 */ + -1.28800728638468399687523924685844352E-32Q, /* bf950b8236b88ca0c1b739dc91a7e3fc */ + 1.79687500000000004929565820437175783E-01Q, /* 3ffc70000000000002d779bb32d2e000 */ + 1.60624461317978482424582320675174225E-32Q, /* 3f954d9a9cc0c963fd081f3dc922d04e */ + 1.83593750000000016873727045739708856E-01Q, /* 3ffc78000000000009ba1f6263c9a000 */ + -3.83390389582056606880506003118452558E-32Q, /* bf968e22a5d826f77f19ee788474df22 */ + 1.87500000000000013443068740761666872E-01Q, /* 3ffc80000000000007bfd8c72a1bf000 */ + -2.74141662712926256150154726565203091E-32Q, /* bf961caf5ac59c7f941f928e324c2cc1 */ + 1.91406249999999981494101786848611970E-01Q, /* 3ffc87fffffffffff55502eeae001000 */ + 3.68992437075565165346469517256118001E-32Q, /* 3f967f2f03f9096793372a27b92ad79d */ + 1.95312499999999989069921848800501648E-01Q, /* 3ffc8ffffffffffff9b3015280394000 */ + 3.69712249337856518452988332367785220E-32Q, /* 3f967fee5fdb5bd501ff93516999faa0 */ + 1.99218750000000021148042946919300804E-01Q, /* 3ffc9800000000000c30e67939095000 */ + 2.50142536781142175091322844848566649E-32Q, /* 3f9603c34ae58e10b300b07137ee618a */ + 2.03124999999999977732559198825437141E-01Q, /* 3ffc9ffffffffffff329e7df079e4000 */ + -2.41951877287895024779300892731537816E-32Q, /* bf95f683aefe6965f080df8f59dd34a1 */ + 2.07031249999999996744030653771913124E-01Q, /* 3ffca7fffffffffffe1f80f4b73ca000 */ + -1.94346475904454000031592792989765585E-32Q, /* bf9593a44f87870a3d100d498501ecc7 */ + 2.10937500000000000251399259834392298E-01Q, /* 3ffcb000000000000025199873310000 */ + -1.33528748788094249098998693871759411E-33Q, /* bf91bbb9b25c813668d6103d08acac35 */ + 2.14843749999999993936323609611875097E-01Q, /* 3ffcb7fffffffffffc8128c866236000 */ + 1.14839877977014974625242788556545292E-32Q, /* 3f94dd06b4655c9b83a1305b240e7a42 */ + 2.18750000000000015181732784749663837E-01Q, /* 3ffcc0000000000008c06da5fff24000 */ + 1.42689085313142539755499441881408391E-32Q, /* 3f95285a87dfa7ea7dad5b3be8c669f4 */ + 2.22656249999999992172647770539596569E-01Q, /* 3ffcc7fffffffffffb7ce2fe531f6000 */ + -3.34421462850496887359128610229650547E-32Q, /* bf965b487962b5c2d9056ca6ac0c2e5c */ + 2.26562499999999989595607223847082419E-01Q, /* 3ffccffffffffffffa0095277be5c000 */ + -3.08983588107248752517344356508205569E-32Q, /* bf9640dded57157f8eded311213bdbcd */ + 2.30468749999999979130462438434567117E-01Q, /* 3ffcd7fffffffffff3f8332996560000 */ + -3.01407539802851697849105682795217019E-32Q, /* bf9638ffde35dbdfe1a1ffe45185de5d */ + 2.34375000000000012194252337217891971E-01Q, /* 3ffce0000000000007078dd402c86000 */ + -8.46879710915628592284714319904522657E-33Q, /* bf945fc7b29a2ac6c9eff9eb258a510f */ + 2.38281249999999982991877076137149870E-01Q, /* 3ffce7fffffffffff6320b486eece000 */ + -2.93563878880439245627127095245798544E-32Q, /* bf9630daaa4f40ff05caf29ace2ea7d4 */ + 2.42187499999999981447559841442773990E-01Q, /* 3ffceffffffffffff54e24a09a8d5000 */ + -4.56766746558806021264215486909850481E-32Q, /* bf96da556dee11f3113e5a3467b908e6 */ + 2.46093749999999991067720539980207318E-01Q, /* 3ffcf7fffffffffffad9d405dcb5d000 */ + 2.14033004219908074003010247652128251E-32Q, /* 3f95bc8776e8f9ae098884aa664cc3df */ + 2.50000000000000016613825838126835953E-01Q, /* 3ffd00000000000004c9e24c12bb3000 */ + 2.57617532593749185996714235009382870E-32Q, /* 3f960b867cc01178c0ec68226c6cb47d */ + 2.53906250000000013372004437827044321E-01Q, /* 3ffd04000000000003daae05b3168000 */ + 7.20177123439204414298152646284640101E-32Q, /* 3f9775eff59ddad7e7530b83934af87f */ + 2.57812499999999995765234725413886085E-01Q, /* 3ffd07fffffffffffec7878bad9d5000 */ + 6.51253187532920882777046064603770602E-32Q, /* 3f975226659ca241402e71c2011583b0 */ + 2.61718750000000007647689994011222248E-01Q, /* 3ffd0c000000000002344cc793a0f000 */ + 3.02370610028725823590045201871491395E-32Q, /* 3f9639ffe55fa2fa011674448b4e5b96 */ + 2.65624999999999986893899042596554269E-01Q, /* 3ffd0ffffffffffffc38f0c0a1e9f000 */ + -2.07683715950724761146070082510569258E-32Q, /* bf95af579a92e872fef81abfdf06bae8 */ + 2.69531249999999979842788204900639327E-01Q, /* 3ffd13fffffffffffa30a908d67db000 */ + 8.71465252506557329027658736641075706E-32Q, /* 3f97c47d99e19830447a42b1c0ffac61 */ + 2.73437500000000006712165837793818271E-01Q, /* 3ffd18000000000001ef453a58edb000 */ + -6.62704045767568912140550474455810301E-32Q, /* bf9758187a204dcb06ece46588aeeaba */ + 2.77343749999999994411329302988535617E-01Q, /* 3ffd1bfffffffffffe63a0fec9c9e000 */ + -4.87273466291944117406493607771338767E-32Q, /* bf96fa0381b0844a0be46bac2d673f0c */ + 2.81250000000000012677892447379453135E-01Q, /* 3ffd20000000000003a7769e125d6000 */ + -8.55871796664700790726282049552906783E-32Q, /* bf97bc64e01332cf7616b0091b8dff2c */ + 2.85156249999999998558643013736363981E-01Q, /* 3ffd23ffffffffffff95a5894bccf000 */ + -1.33068334720606220176455289635046875E-32Q, /* bf95145f43290ecf5b7adcb24697bc73 */ + 2.89062500000000008831431235621753924E-01Q, /* 3ffd280000000000028ba504fac59000 */ + -9.34157398616814623985483776710704237E-32Q, /* bf97e50ad1115b941fcb5f0c88a428f7 */ + 2.92968750000000019840235286110877063E-01Q, /* 3ffd2c000000000005b7f372d184f000 */ + 4.99302093775173155906059132992249671E-33Q, /* 3f939ecdcfb97bad3f8dbec5df5ec67d */ + 2.96875000000000015867911730971630513E-01Q, /* 3ffd3000000000000492d860c79db000 */ + 7.86107787827057767235127454590866211E-33Q, /* 3f944689517ee8f16cdb97d6a6938f32 */ + 3.00781250000000015814100002286124758E-01Q, /* 3ffd340000000000048edfe73a17d000 */ + -1.65419431293024229981937172317171504E-32Q, /* bf9557900e3efca16c89646b57f68dc0 */ + 3.04687499999999985213157159965287195E-01Q, /* 3ffd37fffffffffffbbcec6f99b36000 */ + 9.68753602893894024018934325652944198E-32Q, /* 3f97f70170e5458660c33a7e8d43d049 */ + 3.08593749999999989969324338045156215E-01Q, /* 3ffd3bfffffffffffd1bdde4d0fb1000 */ + 7.10268609610294706092252562643261106E-32Q, /* 3f9770cae45cdf615010401a4b37d8d4 */ + 3.12500000000000002971606591018488854E-01Q, /* 3ffd40000000000000db440fbc06b000 */ + 6.38924218802905979887732294952782964E-32Q, /* 3f974bbf988bb5622bd8fbaa46e8b811 */ + 3.16406250000000006594921047402056305E-01Q, /* 3ffd44000000000001e69e8954814000 */ + 3.96079878754651470094149874444850097E-32Q, /* 3f969b5017b9fa7a1e86975258c73d3d */ + 3.20312500000000006713799366908329147E-01Q, /* 3ffd48000000000001ef64159c065000 */ + -1.86401314975634286055150437995880517E-32Q, /* bf958323f0434911794e5fb8bfe136ba */ + 3.24218749999999987061246567584951210E-01Q, /* 3ffd4bfffffffffffc4549db9b928000 */ + -3.18643523744758601387071062700407431E-32Q, /* bf964ae5fa7e26c2c3981bed12e14372 */ + 3.28124999999999991782776266707412953E-01Q, /* 3ffd4ffffffffffffda1ad0840ca8000 */ + -4.46964199751314296839915534813144652E-32Q, /* bf96d0277729ffd74727150df6d15547 */ + 3.32031250000000000393816557756032682E-01Q, /* 3ffd540000000000001d0efc04fad000 */ + -9.03246333902065439930373230002688649E-33Q, /* bf947731a008748cc6dee948839ef7ae */ + 3.35937499999999983810482995064392173E-01Q, /* 3ffd57fffffffffffb556cab8ae61000 */ + 5.27742727066129518825981597650621794E-32Q, /* 3f9712050a6ddbf1cabf1b971f4b5d0b */ + 3.39843750000000004310441349760912471E-01Q, /* 3ffd5c0000000000013e0def5ddc4000 */ + -3.85927263474732591932884416445586106E-32Q, /* bf9690c51088ef3db9ca000829c450c2 */ + 3.43749999999999990248130003997484364E-01Q, /* 3ffd5ffffffffffffd3070624a0af000 */ + 9.62005170171527308106468341512327487E-34Q, /* 3f913fae595cea84432eb01430817fca */ + 3.47656250000000004085726414568625697E-01Q, /* 3ffd640000000000012d79309e291000 */ + -6.59664093705705297250259434519072507E-32Q, /* bf97568465eafb0e662e64a5dbfaf35f */ + + -1.98364257812501251077851763965418372E-03Q, /* bff6040000000001cd90f658cf0b1000 */ + -3.71984513103117734260309047540278737E-34Q, /* bf8fee73c54483194782aac4a6154d11 */ + -1.95312500000000378520649630233891879E-03Q, /* bff60000000000008ba643bb5e2e8000 */ + -1.12194202736719050440745599339855038E-34Q, /* bf8e2a436aeff7bc529873354f47a3f5 */ + -1.92260742187499397430259771221991482E-03Q, /* bff5f7fffffffffe4361cb51170da000 */ + -2.30068299876822157331268484824540848E-34Q, /* bf8f31d02f85cfe8c0cc02276ce0f437 */ + -1.89208984375001137424603270262074989E-03Q, /* bff5f0000000000347456ed490c23000 */ + -1.15012507244426243338260435466985403E-34Q, /* bf8e31c174d5677a937a34ad8d2a70b4 */ + -1.86157226562500172319250342061336738E-03Q, /* bff5e800000000007f262fa3617b4000 */ + -3.12438344643346437509767736937785561E-34Q, /* bf8f9f4d426a2457c273d34ef7d9bde9 */ + -1.83105468749999505256246872355430379E-03Q, /* bff5dffffffffffe92f18c1c2b6fa000 */ + -5.91130415288336591179087455220308942E-35Q, /* bf8d3a4c80b42dc036bae446c9807f78 */ + -1.80053710937499445182387245573120522E-03Q, /* bff5d7fffffffffe669dea82b4a4c000 */ + -1.92396289352411531324908916321392100E-34Q, /* bf8eff7a2123fb573ba9778550d669bd */ + -1.77001953125000387737631542516323906E-03Q, /* bff5d000000000011e19915c3ddb7000 */ + 7.91101758977203355387806553469731354E-36Q, /* 3f8a507f5a70faaccf469e3461873dea */ + -1.73950195312500034854670281415554486E-03Q, /* bff5c8000000000019b7dc6ef97bd000 */ + 1.55906551582436824067407021178835755E-34Q, /* 3f8e9e7880333e34955aebcde3cfb053 */ + -1.70898437499998955782591472611429852E-03Q, /* bff5bffffffffffcfd80e88aa6b96000 */ + 8.22951661962611381718215899498500357E-35Q, /* 3f8db58e6031a779b59f6ece191de7cc */ + -1.67846679687500586652037711131708544E-03Q, /* bff5b80000000001b0df6fd21c133000 */ + -8.96642618848426299713145894522897419E-35Q, /* bf8ddcbcab46d531801bfae4121f2f8a */ + -1.64794921875000109499161354039904782E-03Q, /* bff5b0000000000050cbce8915575000 */ + -2.88077905394253859590587789680486639E-34Q, /* bf8f7eebd4dd860ef73b674d5e707959 */ + -1.61743164062501133830507079150388351E-03Q, /* bff5a80000000003449e8700c3e82000 */ + -3.68271725851639066312899986829350273E-34Q, /* bf8fe9845fe20a5fe74059e0cae185d6 */ + -1.58691406249999015546015764131101956E-03Q, /* bff59ffffffffffd2999e668cdd28000 */ + 8.48197657099957029953716507898788812E-35Q, /* 3f8dc2faaebb97392e451b07b28c4b12 */ + -1.55639648437500317366570219290722587E-03Q, /* bff5980000000000ea2cd9a40d256000 */ + -3.45156704719737676412949957712570373E-36Q, /* bf8925a079505516c8e317ac1ff53255 */ + -1.52587890625000568759013197767046039E-03Q, /* bff5900000000001a3ab8a3f6b698000 */ + -1.01902948542497496574967177677556729E-34Q, /* bf8e0ee78d94d9b5ad3d63ae35c9b554 */ + -1.49536132812500945889014955936485340E-03Q, /* bff5880000000002b9f1621b57743000 */ + -3.32264697086631598830366079048117140E-34Q, /* bf8fb9a7d14c32289204fbb0c9eb20e0 */ + -1.46484374999999931883259902869504725E-03Q, /* bff57fffffffffffcdbd1c90e1b4a000 */ + -1.76487524793892929381101031660811433E-34Q, /* bf8ed52f2f724bc1ae870b18356337b4 */ + -1.43432617187498876325946983333888768E-03Q, /* bff577fffffffffcc2dff8faa5570000 */ + -3.54550084538495708816233114576143814E-34Q, /* bf8fd74724576915868c1e8ce9f430f1 */ + -1.40380859374999215367421282192718062E-03Q, /* bff56ffffffffffdbd0b18aac65ed000 */ + -1.90585907028351204486765167064669639E-34Q, /* bf8efaaa0c0e23e50c11b2120348054f */ + -1.37329101562499692341771212945644892E-03Q, /* bff567ffffffffff1cfd00f1b0577000 */ + -3.59631150411372589637918252836880320E-34Q, /* bf8fde08239ac74942a46298ea4fb715 */ + -1.34277343749999137467356674296739172E-03Q, /* bff55ffffffffffd839030b05d53d000 */ + -1.49571076125940368185068762485268117E-35Q, /* bf8b3e1a3d5c684b27a9f835b1d8d3c9 */ + -1.31225585937499247038404301859788734E-03Q, /* bff557fffffffffdd469936e691e3000 */ + 3.10375845385355395586146533282311300E-34Q, /* 3f8f9c8f6d63b7a4145716ffd92491fb */ + -1.28173828124999024755581675764821898E-03Q, /* bff54ffffffffffd306589b0ab21d000 */ + -1.98541096105909793397376077900810019E-34Q, /* bf8f07e808bbb1e35106c294ffbb9687 */ + -1.25122070312500340204619591143332523E-03Q, /* bff5480000000000fb06d5f16ad2c000 */ + 3.62884195935761446237911443317457521E-34Q, /* 3f8fe25b17d623178a386a6fa6c5afb2 */ + -1.22070312499999591578388993012071279E-03Q, /* bff53ffffffffffed2a356c440074000 */ + -2.96756662615653130862526710937493307E-35Q, /* bf8c3b90d8ff2a991e5bd16718fb0645 */ + -1.19018554687498821966212632349422735E-03Q, /* bff537fffffffffc9ac3b585dda89000 */ + 1.44659971891167323357060028901142644E-34Q, /* 3f8e809279ab249edf1dad9fe13fb0bf */ + -1.15966796875000160938908064907298384E-03Q, /* bff530000000000076c0800db9639000 */ + 2.50088010538742402346270685365928513E-34Q, /* 3f8f4c6c8a483b60201d30c1a83c3cb7 */ + -1.12915039062500267151512523291939657E-03Q, /* bff5280000000000c51f7e7315137000 */ + 7.56402096465615210500092443924888831E-35Q, /* 3f8d922c1e485d99aea2668ed32b55a6 */ + -1.09863281249998665006360103291051571E-03Q, /* bff51ffffffffffc26f2d4c9ce2ba000 */ + 1.43982174467233642713619821353592061E-34Q, /* 3f8e7ec530b3d92b6303bec1c81214d1 */ + -1.06811523437500522742248711752028025E-03Q, /* bff518000000000181b7380f10446000 */ + 5.41265133745862349181293024531133174E-35Q, /* 3f8d1fc9313d018b30e790e06b6be723 */ + -1.03759765624999980942114138999770552E-03Q, /* bff50ffffffffffff1f01130490e1000 */ + 1.21525139612685854366189534669623436E-34Q, /* 3f8e4311b96b6fcde412caf3f0d86fb9 */ + -1.00708007812499602697537601515759439E-03Q, /* bff507fffffffffedad7afcce7051000 */ + 1.00020246351201558505328236381833392E-34Q, /* 3f8e09e640992512b1300744a7e984ed */ + -9.76562499999992592487302113340463694E-04Q, /* bff4fffffffffffbbad8151f8adf6000 */ + -1.64984406575162932060422892046851002E-34Q, /* bf8eb69a919986e8054b86fc34300f24 */ + -9.46044921874989085824996924138179594E-04Q, /* bff4effffffffff9b55a204fd9792000 */ + -9.29539174108308550334255350011347171E-35Q, /* bf8dee3a50ed896b4656fa577a1df3d7 */ + -9.15527343750013735214860599791540029E-04Q, /* bff4e00000000007eaf5bf103f82d000 */ + 3.07557018309280519949818825519490586E-35Q, /* 3f8c470cfbef77d32c74cb8042f6ee81 */ + -8.85009765625012292294986105781516428E-04Q, /* bff4d000000000071605c65403b97000 */ + 4.77499983783821950338363358545463558E-35Q, /* 3f8cfbc3dc18884c4c4f9e07d90d7bd3 */ + -8.54492187499986941239470706817188192E-04Q, /* bff4bffffffffff878ddf9cab264a000 */ + -1.60128240346239526958630011447901568E-34Q, /* bf8ea9b1a21e19e2d5bd84b0fbffcf95 */ + -8.23974609374996290174598690241743810E-04Q, /* bff4affffffffffddc86c249ebe06000 */ + 1.61677540391961912631535763471935882E-34Q, /* 3f8eadd00841366b0dc2bc262c2c8c36 */ + -7.93457031249988696952538334288757473E-04Q, /* bff49ffffffffff97bf6f0aa85a5f000 */ + 1.22318577008381887076634753347515709E-34Q, /* 3f8e452db5b5d250878f71040da06d14 */ + -7.62939453124996723316499040007097041E-04Q, /* bff48ffffffffffe1c7265b431108000 */ + -1.03845161748762410745671891558398468E-34Q, /* bf8e14115ad884c96d1a820c73647220 */ + -7.32421874999998242520117923997325794E-04Q, /* bff47ffffffffffefca4498b7aa8a000 */ + 5.64005211953031009549514026639438083E-35Q, /* 3f8d2be06950f68f1a6d8ff829a6928e */ + -7.01904296874999772890934814265622012E-04Q, /* bff46fffffffffffde7c0fe5d8041000 */ + 5.90245467325173644235991233229525762E-35Q, /* 3f8d39d40cc49002189243c194b1db0e */ + -6.71386718750008699269643939210658742E-04Q, /* bff460000000000503c91d798b60c000 */ + -5.20515801723324452151498579012322191E-35Q, /* bf8d14c0f08a6a9285b32b8bda003eb5 */ + -6.40869140625005499535275057463709988E-04Q, /* bff45000000000032b969184e9751000 */ + -6.69469163285461870099846471658294534E-35Q, /* bf8d63f36bab7b24d936c9380e3d3fa6 */ + -6.10351562499999293780097329596079841E-04Q, /* bff43fffffffffff97c7c433e35ed000 */ + -1.16941808547394177991845382085515086E-34Q, /* bf8e36e27886f10b234a7dd8fc588bf0 */ + -5.79833984375000068291972326409994795E-04Q, /* bff43000000000000a13ff6dcf2bf000 */ + 1.17885044988246219185041488459766001E-34Q, /* 3f8e3964677e001a00412aab52790842 */ + -5.49316406249990904622170867910987793E-04Q, /* bff41ffffffffffac1c25739c716b000 */ + -3.31875702128137033065075734368960972E-35Q, /* bf8c60e928d8982c3c99aef4f885a121 */ + -5.18798828125011293653756992177727236E-04Q, /* bff410000000000682a62cff36775000 */ + -5.69971237642088463334239430962628187E-35Q, /* bf8d2f0c76f8757d61cd1abc7ea7d066 */ + -4.88281249999990512232251384917893121E-04Q, /* bff3fffffffffff50fb48992320df000 */ + 1.02144616714408655325510171265051108E-35Q, /* 3f8ab279a3626612710b9b3ac71734ac */ + -4.57763671874997554564967307956493434E-04Q, /* bff3dffffffffffd2e3c272e3cca9000 */ + -8.25484058867957231164162481843653503E-35Q, /* bf8db6e71158e7bf93e2e683f07aa841 */ + -4.27246093749991203999790346349633286E-04Q, /* bff3bffffffffff5dbe103cba0eb2000 */ + -3.51191203319375193921924105905691755E-35Q, /* bf8c757356d0f3dd7fbefc0dd419ab50 */ + -3.96728515624986649402960638705483281E-04Q, /* bff39ffffffffff09b996882706ec000 */ + -5.51925962073095883016589497244931171E-36Q, /* bf89d586d49f22289cfc860bebb99056 */ + -3.66210937499999945095511981300980754E-04Q, /* bff37fffffffffffefcb88bfc7df6000 */ + -2.11696465278144529364423332249588595E-35Q, /* bf8bc23a84d28e5496c874ef9833be25 */ + -3.35693359374992480958458008559640163E-04Q, /* bff35ffffffffff754c548a8798f2000 */ + -8.58941791799705081104736787493668352E-35Q, /* bf8dc8b1192fb7c3662826d43acb7c68 */ + -3.05175781250009811036303273640122156E-04Q, /* bff340000000000b4fb4f1aad1c76000 */ + -8.61173897858769926480551302277426632E-35Q, /* bf8dc9e0eabb1c0b33051011b64769fa */ + -2.74658203124987298321920308390303850E-04Q, /* bff31ffffffffff15b2056ac252fd000 */ + 3.35152809454778381053519808988046631E-37Q, /* 3f85c82fb59ff8d7c80d44e635420ab1 */ + -2.44140624999999992770514819575735516E-04Q, /* bff2fffffffffffffbbb82d6a7636000 */ + 3.54445837111124472730013879165516908E-35Q, /* 3f8c78e955b01378be647b1c92aa9a77 */ + -2.13623046875012756463165168672749438E-04Q, /* bff2c0000000001d6a1635fea6bbf000 */ + 1.50050816288650121729916777279129473E-35Q, /* 3f8b3f1f6f616a61129a58e131cbd31d */ + -1.83105468749991323078784464300306893E-04Q, /* bff27fffffffffebfe0cbd0c82399000 */ + -9.14919506501448661140572099029756008E-37Q, /* bf873754bacaa9d9513b6127e791eb47 */ + -1.52587890625013337032336300236461546E-04Q, /* bff240000000001ec0cb57f2cc995000 */ + 2.84906084373176180870418394956384516E-35Q, /* 3f8c2ef6d03a7e6ab087c4f099e4de89 */ + -1.22070312499990746786116828458007518E-04Q, /* bff1ffffffffffd553bbb49f35a34000 */ + 6.71618008964968339584520728412444537E-36Q, /* 3f8a1dacb99c60071fc9cd2349495bf0 */ + -9.15527343750029275602791047595142231E-05Q, /* bff180000000000d8040cd6ecde28000 */ + -1.95753652091078750312541716951402172E-35Q, /* bf8ba0526cfb24d8d59122f1c7a09a14 */ + -6.10351562499913258461494008080572701E-05Q, /* bff0ffffffffffaffebbb92d7f6a9000 */ + 5.69868489273961111703398456218119973E-36Q, /* 3f89e4ca5df09ef4a4386dd5b3bf0331 */ + -3.05175781250092882818419203884960853E-05Q, /* bff0000000000055ab55de88fac1d000 */ + 9.03341100018476837609128961872915953E-36Q, /* 3f8a803d229fa3a0e834a63abb06662b */ +#define T_EXPL_ARG2 (2*T_EXPL_ARG1 + 2 + 2*65) + 0.00000000000000000000000000000000000E+00Q, /* 00000000000000000000000000000000 */ + 0.00000000000000000000000000000000000E+00Q, /* 00000000000000000000000000000000 */ + 3.05175781249814607084128277672749162E-05Q, /* 3feffffffffffeaa02abb9102f499000 */ + 1.00271855391179733380665816525889949E-36Q, /* 3f8755351afa042ac3f58114824d4c10 */ + 6.10351562500179243748093427073421439E-05Q, /* 3ff1000000000052a95de07a4c26d000 */ + 1.67231624299180373502350811501181670E-36Q, /* 3f881c87a53691cae9d77f4e40d66616 */ + 9.15527343749970728685313252158399200E-05Q, /* 3ff17ffffffffff28040cc2acde28000 */ + 2.43665747834893104318707597514407880E-36Q, /* 3f889e9366c7c6c6a2ecb78dc9b0509e */ + 1.22070312500027751961838150070880064E-04Q, /* 3ff200000000003ffddde6c153b53000 */ + -1.73322146370624186623546452226755405E-35Q, /* bf8b709d8d658ed5dbbe943de56ee84e */ + 1.52587890624995916105682628143179430E-04Q, /* 3ff23ffffffffff6954b56e285d23000 */ + 1.23580432650945898349135528000443828E-35Q, /* 3f8b06d396601dde16de7d7bc27346e6 */ + 1.83105468750008670314358488289621794E-04Q, /* 3ff2800000000013fe0cdc8c823b7000 */ + 4.30446229148833293310207915930740796E-35Q, /* 3f8cc9ba9bfe554a4f7f2fece291eb23 */ + 2.13623046875005741337455947623248132E-04Q, /* 3ff2c0000000000d3d1662de21a3f000 */ + -3.96110759869520786681660669615255057E-35Q, /* bf8ca5379b04ff4a31aab0ceacc917e6 */ + 2.44140624999981493573336463433440506E-04Q, /* 3ff2ffffffffffd553bbdf48e0534000 */ + -1.39617373942387888957350179316792928E-35Q, /* bf8b28eeedc286015802b63f96b8c5cd */ + 2.74658203124984920706309918754626834E-04Q, /* 3ff31fffffffffee9d60c8439ec1d000 */ + -3.16168080483901830349738314447356223E-36Q, /* bf890cf74f81c77a611abc1243812444 */ + 3.05175781250008648918265055410966055E-04Q, /* 3ff3400000000009f8b5c9a346636000 */ + 8.54421306185008998867856704677221443E-35Q, /* 3f8dc649cd40922fc08adc6b6b20ead0 */ + 3.35693359374988945462612499316774515E-04Q, /* 3ff35ffffffffff34146c540f15b2000 */ + 7.96443137431639500475160850431097078E-35Q, /* 3f8da77638ed3148fc4d99d1c9e13446 */ + 3.66210937500027690542093987739604535E-04Q, /* 3ff380000000001fecce34bea89c4000 */ + 2.14507323877752361258862577769090367E-35Q, /* 3f8bc834e554d38894cf91957b0253d3 */ + 3.96728515625003928083564943615052121E-04Q, /* 3ff3a00000000004875d9a4acf6ab000 */ + 4.88358523466632050664019922448605508E-35Q, /* 3f8d03a7eaeef1a9f78c71a12c44dd28 */ + 4.27246093750017799227172345607351585E-04Q, /* 3ff3c00000000014856794c3ee850000 */ + 6.66520494592631402182216588784828935E-35Q, /* 3f8d6262118fcdb59b8f16108f5f1a6c */ + 4.57763671875002108342364320152138181E-04Q, /* 3ff3e000000000026e45d855410b9000 */ + 7.21799615960261390920033272189522298E-35Q, /* 3f8d7fc645cff8879462296af975c9fd */ + 4.88281249999999768797631616370963356E-04Q, /* 3ff3ffffffffffffbbc2d7cc004df000 */ + -5.30564629906905979452258114088325361E-35Q, /* bf8d1a18b71929a30d67a217a27ae851 */ + 5.18798828124997339054881383202487041E-04Q, /* 3ff40ffffffffffe775055eea5851000 */ + -4.03682911253647925867848180522846377E-35Q, /* bf8cad44f0f3e5199d8a589d9332acad */ + 5.49316406249980511907933706754958501E-04Q, /* 3ff41ffffffffff4c410b29bb62fb000 */ + -2.08166843948323917121806956728438051E-35Q, /* bf8bbab8cf691403249fe5b699e25143 */ + 5.79833984374989593561576568548497165E-04Q, /* 3ff42ffffffffffa0047df328d817000 */ + -1.72745033420153042445343706432627539E-34Q, /* bf8ecb3c2d7d3a9e6e960576be901fdf */ + 6.10351562500008540711511259540838154E-04Q, /* 3ff4400000000004ec62f54f8c271000 */ + 7.41889382604319545724663095428976499E-35Q, /* 3f8d8a74c002c81a47c93b8e05d15f8e */ + 6.40869140625020444702875407535884986E-04Q, /* 3ff450000000000bc91b09718515d000 */ + -4.47321009727305792048065440180490107E-35Q, /* bf8cdbac5c8fe70822081d8993eb5cb6 */ + 6.71386718750007531635964622352684074E-04Q, /* 3ff460000000000457792973db05c000 */ + 5.13698959677949336513874456684462092E-35Q, /* 3f8d112114436949c5ef38d8049004ab */ + 7.01904296875006634673332887754430334E-04Q, /* 3ff4700000000003d31adf2cb8b1d000 */ + -8.25665755717729437292989870760751482E-35Q, /* bf8db6ffcc8ef71f8e648e3a8b160f5a */ + 7.32421874999998244664170215504673504E-04Q, /* 3ff47ffffffffffefcf5498bd5c8a000 */ + -5.64005234937832153139057628112753364E-35Q, /* bf8d2be06a1dfe90e7bf90fba7c12a98 */ + 7.62939453125017456345986752604096408E-04Q, /* 3ff490000000000a101a1b093d4a8000 */ + -1.11084094120417622468550608896588329E-34Q, /* bf8e274feabd2d94f6694507a46accb1 */ + 7.93457031249987558617598988993908016E-04Q, /* 3ff49ffffffffff8d3f9dcab74bbf000 */ + -1.22966480225449015129079129940978828E-34Q, /* bf8e46e6a65eef8fa9e42eddf3da305e */ + 8.23974609374997378723747633335135819E-04Q, /* 3ff4affffffffffe7d2afbaa55b26000 */ + -1.62270010016794279091906973366704963E-34Q, /* bf8eaf633f057ebdb664a34566401c4e */ + 8.54492187500023938282350821569920958E-04Q, /* 3ff4c0000000000dccaabce399e59000 */ + -1.39076361712838158775374263169606160E-34Q, /* bf8e71ba779364b3bbdba7841f2c4ca1 */ + 8.85009765624987932362186815286691297E-04Q, /* 3ff4cffffffffff90b218886edc2a000 */ + 4.07328275060905585228261577392403980E-35Q, /* 3f8cb1254dbb6ea4b8cfa5ed4cf28d24 */ + 9.15527343749975579461305518559161974E-04Q, /* 3ff4dffffffffff1ec2a21f25df33000 */ + 1.16855112459192484947855553716334015E-35Q, /* 3f8af10bf319e9f5270cf249eeffbe5c */ + 9.46044921875016761584725882821122521E-04Q, /* 3ff4f00000000009a992c46c16d71000 */ + 9.51660680007524262741115611071680436E-35Q, /* 3f8df9fd56e81f8edf133843910ee831 */ + 9.76562499999974118878133088548272636E-04Q, /* 3ff4fffffffffff1149edc46a6df6000 */ + -5.65271128977550656964071208289181661E-36Q, /* bf89e0e12689dd721aa2314c81eb6429 */ + 1.00708007812498671732140389760347830E-03Q, /* 3ff507fffffffffc2be94b90ed091000 */ + -1.43355074891483635310132767255371379E-34Q, /* bf8e7d1a688c247b16022daab1316d55 */ + 1.03759765625002637786192745235343007E-03Q, /* 3ff51000000000079a57b966bc158000 */ + 2.95905815240957629366749917020106928E-34Q, /* 3f8f895387fc73bb38f8a1b254c01a60 */ + 1.06811523437500860568717813047520763E-03Q, /* 3ff51800000000027afcd5b35f5e6000 */ + -5.98328495358586628195372356742878314E-35Q, /* bf8d3e204130013bf6328f1b70ff8c76 */ + 1.09863281250001439958487251556220070E-03Q, /* 3ff5200000000004268077c6c66bd000 */ + 2.41371837889426603334113000868144760E-34Q, /* 3f8f40d6948edf864054ccf151f9815e */ + 1.12915039062501298413451613770002366E-03Q, /* 3ff5280000000003be0f5dd8fe81b000 */ + -1.28815268997394164973472617519705703E-34Q, /* bf8e567321172ea089dce4bc8354ecb7 */ + 1.15966796874997272036339054191407232E-03Q, /* 3ff52ffffffffff8231e3bcfff1e8000 */ + 1.02996064554316248496839462594377804E-34Q, /* 3f8e11cf7d402789244f68e2d4f985b1 */ + 1.19018554687502744121802585360546796E-03Q, /* 3ff5380000000007e8cdf3f8f6c20000 */ + -1.43453217726255628994625761307322163E-34Q, /* bf8e7d5d3370d85a374f5f4802fc517a */ + 1.22070312499997743541996266398850614E-03Q, /* 3ff53ffffffffff97f0722561f454000 */ + -1.41086259180534339713692694428211646E-34Q, /* bf8e77125519ff76244dfec5fbd58402 */ + 1.25122070312501024092560690174507039E-03Q, /* 3ff5480000000002f3a59d8820691000 */ + 3.84102646020099293168698506729765213E-34Q, /* 3f8ffe8f5b86f9c3569c8f26e19b1f50 */ + 1.28173828124997986521442660131425390E-03Q, /* 3ff54ffffffffffa3250a764439d9000 */ + 1.44644589735033114377952806106652650E-34Q, /* 3f8e808801b80dcf38323cdbfdca2549 */ + 1.31225585937501665804856968749058137E-03Q, /* 3ff5580000000004cd25a414c6d62000 */ + 1.67474574742200577294563576414361377E-34Q, /* 3f8ebd394a151dbda4f81d5d83c0f1e9 */ + 1.34277343749997290265837386401818888E-03Q, /* 3ff55ffffffffff83091b042cfd59000 */ + -1.55650565030381326742591837551559103E-34Q, /* bf8e9dca490d7fecfadba9625ffb91c5 */ + 1.37329101562497720784949380297774268E-03Q, /* 3ff567fffffffff96e3c7312f5ccf000 */ + 1.65279335325630026116581677369221748E-34Q, /* 3f8eb763496f5bd7404f2298b402074f */ + 1.40380859374999099958354100336136647E-03Q, /* 3ff56ffffffffffd67e2f09f2a381000 */ + 1.89919944388961890195706641264717076E-34Q, /* 3f8ef8e4d0ffdfeba982aa8829501389 */ + 1.43432617187497484122173130998160625E-03Q, /* 3ff577fffffffff8bf9c1d71af8a8000 */ + 2.57638517142061429772064578590009568E-34Q, /* 3f8f5675d82c1cc4ada70fd3a957b89a */ + 1.46484374999999929342158925502052945E-03Q, /* 3ff57fffffffffffcbdd1c7671b46000 */ + 1.76487201934184070490166772482073801E-34Q, /* 3f8ed52ef732458f6e4c5c07504f33cc */ + 1.49536132812502318451070466256902933E-03Q, /* 3ff5880000000006aeb7066c8ad43000 */ + 2.38068367275295804321313550609246656E-34Q, /* 3f8f3c7277ae6fc390ace5e06c0b025b */ + 1.52587890625000448053340248672949543E-03Q, /* 3ff59000000000014a9ae2104b3bc000 */ + 1.01174455568392813258454590274740959E-34Q, /* 3f8e0cf7c434762991bb38e12acee215 */ + 1.55639648437501113499837053523090913E-03Q, /* 3ff5980000000003359e2c204355e000 */ + -2.82398418808099749023517211651363693E-35Q, /* bf8c2c4c2971d88caa95e15fb1ccb1a1 */ + 1.58691406249999937955142588308171026E-03Q, /* 3ff59fffffffffffd2380ecbc87c2000 */ + -1.27361695572422741562701199136538047E-34Q, /* bf8e5295e0e206dfb0f0266c07225448 */ + 1.61743164062498000531048954475329309E-03Q, /* 3ff5a7fffffffffa3ca6fe61ed94c000 */ + -1.22606548862580061633942923016222044E-34Q, /* bf8e45f1b17bb61039d21a351bb207b8 */ + 1.64794921875001835451453858682255576E-03Q, /* 3ff5b000000000054a52fa20f6565000 */ + 1.39132339594152335892305491425264583E-34Q, /* 3f8e71e0904c5449b414ee49b191cef2 */ + 1.67846679687501263995029340691547953E-03Q, /* 3ff5b80000000003a4a9e912c910b000 */ + 6.67245854693585315412242764786197029E-35Q, /* 3f8d62c4ccac1e7511a617d469468ccd */ + 1.70898437500002646861403514115369655E-03Q, /* 3ff5c00000000007a109fbaa7e015000 */ + 6.87367172354719289559624829652240928E-36Q, /* 3f8a245fa835eceb42bae8128d9336db */ + 1.73950195312501174308226096992992128E-03Q, /* 3ff5c80000000003627c8d637a005000 */ + -2.20824271875474985927385878948759352E-34Q, /* bf8f25869b1cbefb25e735992f232f57 */ + 1.77001953124997491747605207736194513E-03Q, /* 3ff5cffffffffff8c53c84b6883b8000 */ + 3.43123048533596296514343180408963705E-34Q, /* 3f8fc816b91d173ddadbbf09b1287906 */ + 1.80053710937497698911127570705069398E-03Q, /* 3ff5d7fffffffff95e1899f4a8430000 */ + 3.99231237340890073475077494556136100E-35Q, /* 3f8ca889148f62fa854da5674df41279 */ + 1.83105468750002267094899598630423914E-03Q, /* 3ff5e0000000000688d21e62ba674000 */ + -3.22274595655810623999007524769365273E-34Q, /* bf8fac605cb9ae01eb719675ced25560 */ + 1.86157226562500499224728040579690330E-03Q, /* 3ff5e80000000001705ce28a6d89e000 */ + 3.07094985075881613489605622068441083E-34Q, /* 3f8f98330225ec7e2c8f3c0d1c432b91 */ + 1.89208984374998234666824993196980949E-03Q, /* 3ff5effffffffffae969fdc7cd8cf000 */ + -3.06287628722973914692165056776495733E-34Q, /* bf8f9720477d9cfa10e464df7f91020c */ + 1.92260742187501225343755557292811682E-03Q, /* 3ff5f800000000038824e428ed49a000 */ + 6.30049124729794620592961282769623368E-35Q, /* 3f8d4efdd7cd4336d88a6aa49e1e96bc */ + 1.95312499999998514894032051116231258E-03Q, /* 3ff5fffffffffffbb82f6a04f1ae0000 */ + -6.14610057507500948543216998736262902E-35Q, /* bf8d46c862d39255370e7974d48daa7e */ + 1.98364257812501222021119324146882732E-03Q, /* 3ff6040000000001c2d8a1aa5188d000 */ + 3.71942298418113774118754986159801984E-34Q, /* 3f8fee6567d9940495519ffe62cbc9a4 */ + + 7.06341639425619532977052017486130353E-01Q, /* 3ffe69a59c8245a9ac00000000000000 */ + 7.09106182437398424589503065362805501E-01Q, /* 3ffe6b0ff72deb89d000000000000000 */ + 7.11881545564596485142772053222870454E-01Q, /* 3ffe6c7bbce9a6d93000000000000000 */ + 7.14667771155948150507697391731198877E-01Q, /* 3ffe6de8ef213d71e000000000000000 */ + 7.17464901725936049503573599395167548E-01Q, /* 3ffe6f578f41e1a9e400000000000000 */ + 7.20272979955439790478166628417966422E-01Q, /* 3ffe70c79eba33c06c00000000000000 */ + 7.23092048692387218133958981525211129E-01Q, /* 3ffe72391efa434c7400000000000000 */ + 7.25922150952408251622927082280511968E-01Q, /* 3ffe73ac117390acd800000000000000 */ + 7.28763329919491220643124052003258839E-01Q, /* 3ffe752077990e79d000000000000000 */ + 7.31615628946641782803794740175362676E-01Q, /* 3ffe769652df22f7e000000000000000 */ + 7.34479091556544505525749855223693885E-01Q, /* 3ffe780da4bba98c4800000000000000 */ + 7.37353761442226890432394270646909717E-01Q, /* 3ffe79866ea5f432d400000000000000 */ + 7.40239682467726090031590047146892175E-01Q, /* 3ffe7b00b216ccf53000000000000000 */ + 7.43136898668758316688354170764796436E-01Q, /* 3ffe7c7c70887763c000000000000000 */ + 7.46045454253390638577059235103661194E-01Q, /* 3ffe7df9ab76b20fd000000000000000 */ + 7.48965393602715662213498148958024103E-01Q, /* 3ffe7f78645eb8076400000000000000 */ + 7.51896761271528629722027403659012634E-01Q, /* 3ffe80f89cbf42526400000000000000 */ + 7.54839601989007347171423134568613023E-01Q, /* 3ffe827a561889716000000000000000 */ + 7.57793960659394638668118204805068672E-01Q, /* 3ffe83fd91ec46ddc000000000000000 */ + 7.60759882362683631518152083117456641E-01Q, /* 3ffe858251bdb68b8c00000000000000 */ + 7.63737412355305483879774897104653064E-01Q, /* 3ffe87089711986c9400000000000000 */ + 7.66726596070820082262642358728044201E-01Q, /* 3ffe8890636e31f54400000000000000 */ + 7.69727479120609181517664865168626420E-01Q, /* 3ffe8a19b85b4fa2d800000000000000 */ + 7.72740107294572486917871856348938309E-01Q, /* 3ffe8ba4976246833800000000000000 */ + 7.75764526561826289752232810315035749E-01Q, /* 3ffe8d31020df5be4400000000000000 */ + 7.78800783071404878477039801509818062E-01Q, /* 3ffe8ebef9eac820b000000000000000 */ + 7.81848923152964780936002853195532225E-01Q, /* 3ffe904e8086b5a87800000000000000 */ + 7.84908993317491698871180005880887620E-01Q, /* 3ffe91df97714512d800000000000000 */ + 7.87981040258010162480317717381694820E-01Q, /* 3ffe9372403b8d6bcc00000000000000 */ + 7.91065110850296016042904057030682452E-01Q, /* 3ffe95067c78379f2800000000000000 */ + 7.94161252153591734614934694036492147E-01Q, /* 3ffe969c4dbb800b4800000000000000 */ + 7.97269511411324433014513601847284008E-01Q, /* 3ffe9833b59b38154400000000000000 */ + 8.00389936051826789142893403550260700E-01Q, /* 3ffe99ccb5aec7bec800000000000000 */ + 8.03522573689060742863077280162542593E-01Q, /* 3ffe9b674f8f2f3d7c00000000000000 */ + 8.06667472123343942680406826184480451E-01Q, /* 3ffe9d0384d70893f800000000000000 */ + 8.09824679342079301047618855591281317E-01Q, /* 3ffe9ea15722892c7800000000000000 */ + 8.12994243520486992160556383169023320E-01Q, /* 3ffea040c80f8374f000000000000000 */ + 8.16176213022339780422953481320291758E-01Q, /* 3ffea1e1d93d687d0000000000000000 */ + 8.19370636400700819157449927843117621E-01Q, /* 3ffea3848c4d49954c00000000000000 */ + 8.22577562398664585696650419777142815E-01Q, /* 3ffea528e2e1d9f09800000000000000 */ + 8.25797039950100647542896581398963463E-01Q, /* 3ffea6cede9f70467c00000000000000 */ + 8.29029118180400342863478613253391813E-01Q, /* 3ffea876812c0877bc00000000000000 */ + 8.32273846407226292054559735333896242E-01Q, /* 3ffeaa1fcc2f45343800000000000000 */ + 8.35531274141265073440720811959181447E-01Q, /* 3ffeabcac15271a2a400000000000000 */ + 8.38801451086982535754188461396552157E-01Q, /* 3ffead7762408309bc00000000000000 */ + 8.42084427143382358016410194068157580E-01Q, /* 3ffeaf25b0a61a7b4c00000000000000 */ + 8.45380252404767357221615498019673396E-01Q, /* 3ffeb0d5ae318680c400000000000000 */ + 8.48688977161503960155997106085123960E-01Q, /* 3ffeb2875c92c4c99400000000000000 */ + 8.52010651900789478530029441571969073E-01Q, /* 3ffeb43abd7b83db1c00000000000000 */ + 8.55345327307422548246407245642330963E-01Q, /* 3ffeb5efd29f24c26400000000000000 */ + 8.58693054264576483003423845730139874E-01Q, /* 3ffeb7a69db2bcc77800000000000000 */ + 8.62053883854575708767242758767679334E-01Q, /* 3ffeb95f206d17228000000000000000 */ + 8.65427867359675251357487013592617586E-01Q, /* 3ffebb195c86b6b29000000000000000 */ + 8.68815056262843166123843730019871145E-01Q, /* 3ffebcd553b9d7b62000000000000000 */ + 8.72215502248546159513864495238522068E-01Q, /* 3ffebe9307c271855000000000000000 */ + 8.75629257203538208242932228131394368E-01Q, /* 3ffec0527a5e384ddc00000000000000 */ + 8.79056373217652342599848225290770642E-01Q, /* 3ffec213ad4c9ed0d800000000000000 */ + 8.82496902584595399599010079327854328E-01Q, /* 3ffec3d6a24ed8221800000000000000 */ + 8.85950897802745995779361010136199184E-01Q, /* 3ffec59b5b27d9696800000000000000 */ + 8.89418411575955636383383762222365476E-01Q, /* 3ffec761d99c5ba58800000000000000 */ + 8.92899496814352794382685374330321793E-01Q, /* 3ffec92a1f72dd70d400000000000000 */ + 8.96394206635150403439382671422208659E-01Q, /* 3ffecaf42e73a4c7d800000000000000 */ + 8.99902594363456265202927397695020773E-01Q, /* 3ffeccc00868c0d18800000000000000 */ + 9.03424713533086704009278378180169966E-01Q, /* 3ffece8daf1e0ba94c00000000000000 */ + 9.06960617887383580004723171441582963E-01Q, /* 3ffed05d24612c2af000000000000000 */ + 9.10510361380034133338412516422977205E-01Q, /* 3ffed22e6a0197c02c00000000000000 */ + 9.14073998175894436579724811053893063E-01Q, /* 3ffed40181d094303400000000000000 */ + 9.17651582651815816982221463149471674E-01Q, /* 3ffed5d66da13970f400000000000000 */ + 9.21243169397474526149949269893113524E-01Q, /* 3ffed7ad2f48737a2000000000000000 */ + 9.24848813216204823639543519675498828E-01Q, /* 3ffed985c89d041a3000000000000000 */ + 9.28468569125835141431224428743007593E-01Q, /* 3ffedb603b7784cd1800000000000000 */ + 9.32102492359527579068867453315760940E-01Q, /* 3ffedd3c89b26894e000000000000000 */ + 9.35750638366620729469147477175283711E-01Q, /* 3ffedf1ab529fdd41c00000000000000 */ + 9.39413062813475779888605643463961314E-01Q, /* 3ffee0fabfbc702a3c00000000000000 */ + 9.43089821584325888048638830696290825E-01Q, /* 3ffee2dcab49ca51b400000000000000 */ + 9.46780970782128888929563004239753354E-01Q, /* 3ffee4c079b3f8000400000000000000 */ + 9.50486566729423443256052905780961737E-01Q, /* 3ffee6a62cdec7c7b000000000000000 */ + 9.54206665969188322362626308859034907E-01Q, /* 3ffee88dc6afecfbfc00000000000000 */ + 9.57941325265705301283958306157728657E-01Q, /* 3ffeea77490f0196b000000000000000 */ + 9.61690601605425299247542625380447134E-01Q, /* 3ffeec62b5e5881fb000000000000000 */ + 9.65454552197837823079851204965962097E-01Q, /* 3ffeee500f1eed967000000000000000 */ + 9.69233234476344074348475032820715569E-01Q, /* 3ffef03f56a88b5d7800000000000000 */ + 9.73026706099133165128733935489435680E-01Q, /* 3ffef2308e71a927a800000000000000 */ + 9.76835024950062025261843245971249416E-01Q, /* 3ffef423b86b7ee79000000000000000 */ + 9.80658249139538557015427500118676107E-01Q, /* 3ffef618d68936c09c00000000000000 */ + 9.84496437005408397968864164795377292E-01Q, /* 3ffef80feabfeefa4800000000000000 */ + 9.88349647113845042323276857132441364E-01Q, /* 3ffefa08f706bbf53800000000000000 */ + 9.92217938260243514925207364285597578E-01Q, /* 3ffefc03fd56aa225000000000000000 */ + 9.96101369470117486981664001177705359E-01Q, /* 3ffefe00ffaabffbbc00000000000000 */ +#define T_EXPL_RES1 (T_EXPL_ARG2 + 2 + 2*65 + 89) + 1.00000000000000000000000000000000000E+00Q, /* 3fff0000000000000000000000000000 */ + 1.00391388933834757590801700644078664E+00Q, /* 3fff0100802ab5577800000000000000 */ + 1.00784309720644799091004983893071767E+00Q, /* 3fff0202015600445c00000000000000 */ + 1.01178768355933151879000320150225889E+00Q, /* 3fff0304848362076c00000000000000 */ + 1.01574770858668572692806719715008512E+00Q, /* 3fff04080ab55de39000000000000000 */ + 1.01972323271377413034244341361045372E+00Q, /* 3fff050c94ef7a206c00000000000000 */ + 1.02371431660235789884438872832106426E+00Q, /* 3fff06122436410dd000000000000000 */ + 1.02772102115162167201845022646011785E+00Q, /* 3fff0718b98f42085000000000000000 */ + 1.03174340749910264936062276319717057E+00Q, /* 3fff08205601127ec800000000000000 */ + 1.03578153702162378824169763902318664E+00Q, /* 3fff0928fa934ef90800000000000000 */ + 1.03983547133622999947277776300325058E+00Q, /* 3fff0a32a84e9c1f5800000000000000 */ + 1.04390527230112850620713516036630608E+00Q, /* 3fff0b3d603ca7c32800000000000000 */ + 1.04799100201663270004459604933799710E+00Q, /* 3fff0c49236829e8bc00000000000000 */ + 1.05209272282610977189420964350574650E+00Q, /* 3fff0d55f2dce5d1e800000000000000 */ + 1.05621049731693195106174698594259098E+00Q, /* 3fff0e63cfa7ab09d000000000000000 */ + 1.06034438832143151909548350886325352E+00Q, /* 3fff0f72bad65671b800000000000000 */ + 1.06449445891785943185681162503897212E+00Q, /* 3fff1082b577d34ed800000000000000 */ + 1.06866077243134810492719566354935523E+00Q, /* 3fff1193c09c1c595c00000000000000 */ + 1.07284339243487741866189821848820429E+00Q, /* 3fff12a5dd543ccc4c00000000000000 */ + 1.07704238275024494209120007326419000E+00Q, /* 3fff13b90cb25176a400000000000000 */ + 1.08125780744903959851299646288680378E+00Q, /* 3fff14cd4fc989cd6400000000000000 */ + 1.08548973085361949442173568058933597E+00Q, /* 3fff15e2a7ae28fecc00000000000000 */ + 1.08973821753809324563988525369495619E+00Q, /* 3fff16f9157587069400000000000000 */ + 1.09400333232930546678574046381982043E+00Q, /* 3fff18109a3611c35000000000000000 */ + 1.09828514030782586896606289883493446E+00Q, /* 3fff192937074e0cd800000000000000 */ + 1.10258370680894224324930519287590869E+00Q, /* 3fff1a42ed01d8cbc800000000000000 */ + 1.10689909742365749645287564817408565E+00Q, /* 3fff1b5dbd3f68122400000000000000 */ + 1.11123137799969046168868658241990488E+00Q, /* 3fff1c79a8dacc350c00000000000000 */ + 1.11558061464248076122274255794764031E+00Q, /* 3fff1d96b0eff0e79400000000000000 */ + 1.11994687371619722204840741142106708E+00Q, /* 3fff1eb4d69bde569c00000000000000 */ + 1.12433022184475073235176978414529003E+00Q, /* 3fff1fd41afcba45e800000000000000 */ + 1.12873072591281087273529237791080959E+00Q, /* 3fff20f47f31c92e4800000000000000 */ + 1.13314845306682632219974493636982515E+00Q, /* 3fff2216045b6f5cd000000000000000 */ + 1.13758347071604959399593326452304609E+00Q, /* 3fff2338ab9b32134800000000000000 */ + 1.14203584653356560174586320499656722E+00Q, /* 3fff245c7613b8a9b000000000000000 */ + 1.14650564845732405583333957110880874E+00Q, /* 3fff258164e8cdb0d800000000000000 */ + 1.15099294469117646722011727433709893E+00Q, /* 3fff26a7793f60164400000000000000 */ + 1.15549780370591653744227755851170514E+00Q, /* 3fff27ceb43d84490400000000000000 */ + 1.16002029424032515603215642840950750E+00Q, /* 3fff28f7170a755fd800000000000000 */ + 1.16456048530221917269855680387991015E+00Q, /* 3fff2a20a2ce96406400000000000000 */ + 1.16911844616950438835445424956560601E+00Q, /* 3fff2b4b58b372c79400000000000000 */ + 1.17369424639123270948104504896036815E+00Q, /* 3fff2c7739e3c0f32c00000000000000 */ + 1.17828795578866324378353169777255971E+00Q, /* 3fff2da4478b620c7400000000000000 */ + 1.18289964445632783673900689791480545E+00Q, /* 3fff2ed282d763d42400000000000000 */ + 1.18752938276310060494722620205720887E+00Q, /* 3fff3001ecf601af7000000000000000 */ + 1.19217724135327157730657177125976887E+00Q, /* 3fff31328716a5d63c00000000000000 */ + 1.19684329114762477708211463323095813E+00Q, /* 3fff32645269ea829000000000000000 */ + 1.20152760334452030077656559114984702E+00Q, /* 3fff339750219b212c00000000000000 */ + 1.20623024942098072687102217059873510E+00Q, /* 3fff34cb8170b5835400000000000000 */ + 1.21095130113378179892436037334846333E+00Q, /* 3fff3600e78b6b11d000000000000000 */ + 1.21569083052054743854242246925423387E+00Q, /* 3fff373783a722012400000000000000 */ + 1.22044890990084875515009343871497549E+00Q, /* 3fff386f56fa7686e800000000000000 */ + 1.22522561187730755216662714701669756E+00Q, /* 3fff39a862bd3c106400000000000000 */ + 1.23002100933670455162882717559114099E+00Q, /* 3fff3ae2a8287e7a8000000000000000 */ + 1.23483517545109100499445276000187732E+00Q, /* 3fff3c1e2876834aa800000000000000 */ + 1.23966818367890557750499169742397498E+00Q, /* 3fff3d5ae4e2cae92c00000000000000 */ + 1.24452010776609517384017067342938390E+00Q, /* 3fff3e98deaa11dcbc00000000000000 */ + 1.24939102174724003813111039562500082E+00Q, /* 3fff3fd8170a52071800000000000000 */ + 1.25428099994668373895478907797951251E+00Q, /* 3fff41188f42c3e32000000000000000 */ + 1.25919011697966698459794088194030337E+00Q, /* 3fff425a4893dfc3f800000000000000 */ + 1.26411844775346637881341393949696794E+00Q, /* 3fff439d443f5f159000000000000000 */ + 1.26906606746853711786826579555054195E+00Q, /* 3fff44e183883d9e4800000000000000 */ + 1.27403305161966090564007458851847332E+00Q, /* 3fff462707b2bac20c00000000000000 */ + 1.27901947599709753244923149395617656E+00Q, /* 3fff476dd2045ac67800000000000000 */ + 1.28402541668774150540599521264084615E+00Q, /* 3fff48b5e3c3e8186800000000000000 */ + 1.28905095007628295311619126550795045E+00Q, /* 3fff49ff3e397492bc00000000000000 */ + 1.29409615284637330434591717676084954E+00Q, /* 3fff4b49e2ae5ac67400000000000000 */ + 1.29916110198179535206719492634874769E+00Q, /* 3fff4c95d26d3f440800000000000000 */ + 1.30424587476763775839572190307080746E+00Q, /* 3fff4de30ec211e60000000000000000 */ + 1.30935054879147461104338390214252286E+00Q, /* 3fff4f3198fa0f1cf800000000000000 */ + 1.31447520194454914310711046709911898E+00Q, /* 3fff50817263c13cd000000000000000 */ + 1.31961991242296217130558488861424848E+00Q, /* 3fff51d29c4f01cb3000000000000000 */ + 1.32478475872886558573071624778094701E+00Q, /* 3fff5325180cfacf7800000000000000 */ + 1.32996981967165983640200010995613411E+00Q, /* 3fff5478e6f02823d000000000000000 */ + 1.33517517436919680440254865061433520E+00Q, /* 3fff55ce0a4c58c7bc00000000000000 */ + 1.34040090224898678084031189428060316E+00Q, /* 3fff57248376b033d800000000000000 */ + 1.34564708304941055283521222918352578E+00Q, /* 3fff587c53c5a7af0400000000000000 */ + 1.35091379682093615244298234756570309E+00Q, /* 3fff59d57c910fa4e000000000000000 */ + 1.35620112392734021300455538039386738E+00Q, /* 3fff5b2fff3210fd9400000000000000 */ + 1.36150914504693443252136830778908916E+00Q, /* 3fff5c8bdd032e770800000000000000 */ + 1.36683794117379636690046140756749082E+00Q, /* 3fff5de9176045ff5400000000000000 */ + 1.37218759361900544124779344201670028E+00Q, /* 3fff5f47afa69210a800000000000000 */ + 1.37755818401188367960941150158760138E+00Q, /* 3fff60a7a734ab0e8800000000000000 */ + 1.38294979430124120867162673675920814E+00Q, /* 3fff6208ff6a88a46000000000000000 */ + 1.38836250675662681297595213436579797E+00Q, /* 3fff636bb9a983258400000000000000 */ + 1.39379640396958309755959248832368758E+00Q, /* 3fff64cfd75454ee7c00000000000000 */ + 1.39925156885490681313299887733592186E+00Q, /* 3fff663559cf1bc7c400000000000000 */ + 1.40472808465191417726103395580139477E+00Q, /* 3fff679c427f5a49f400000000000000 */ + 1.41022603492571069194738697660795879E+00Q, /* 3fff690492cbf9432c00000000000000 */ + 1.41574550356846662335641440222389065E+00Q, /* 3fff6a6e4c1d491e1800000000000000 */ + + 9.98018323540573404351050612604012713E-01Q, /* 3ffefefc41f8d4bdb000000000000000 */ + 9.98048781107475468932221929208026268E-01Q, /* 3ffeff003ff556aa8800000000000000 */ + 9.98079239603882895082165305211674422E-01Q, /* 3ffeff043df9d4986000000000000000 */ + 9.98109699029824021243584297735651489E-01Q, /* 3ffeff083c064e972c00000000000000 */ + 9.98140159385327269125909310787392315E-01Q, /* 3ffeff0c3a1ac4b6ec00000000000000 */ + 9.98170620670420977171843901487591211E-01Q, /* 3ffeff10383737079400000000000000 */ + 9.98201082885133511579667242585856002E-01Q, /* 3ffeff14365ba5991c00000000000000 */ + 9.98231546029493238547658506831794512E-01Q, /* 3ffeff183488107b7c00000000000000 */ + 9.98262010103528552029672482603928074E-01Q, /* 3ffeff1c32bc77beb000000000000000 */ + 9.98292475107267818223988342651864514E-01Q, /* 3ffeff2030f8db72b000000000000000 */ + 9.98322941040739375573309644096298143E-01Q, /* 3ffeff242f3d3ba77000000000000000 */ + 9.98353407903971645787066790944663808E-01Q, /* 3ffeff282d89986cf000000000000000 */ + 9.98383875696992967307963340317655820E-01Q, /* 3ffeff2c2bddf1d32400000000000000 */ + 9.98414344419831761845429696222709026E-01Q, /* 3ffeff302a3a47ea0c00000000000000 */ + 9.98444814072516340086593800151604228E-01Q, /* 3ffeff34289e9ac19800000000000000 */ + 9.98475284655075123740886056111776270E-01Q, /* 3ffeff38270aea69c800000000000000 */ + 9.98505756167536479006585636852832977E-01Q, /* 3ffeff3c257f36f29400000000000000 */ + 9.98536228609928799837547330753295682E-01Q, /* 3ffeff4023fb806bf800000000000000 */ + 9.98566701982280452432050310562772211E-01Q, /* 3ffeff44227fc6e5ec00000000000000 */ + 9.98597176284619802988373749030870385E-01Q, /* 3ffeff48210c0a706800000000000000 */ + 9.98627651516975245460372434536111541E-01Q, /* 3ffeff4c1fa04b1b6800000000000000 */ + 9.98658127679375173801901155457017012E-01Q, /* 3ffeff501e3c88f6e800000000000000 */ + 9.98688604771847954211239084543194622E-01Q, /* 3ffeff541ce0c412e000000000000000 */ + 9.98719082794421980642241010173165705E-01Q, /* 3ffeff581b8cfc7f4c00000000000000 */ + 9.98749561747125619293186105096538085E-01Q, /* 3ffeff5c1a41324c2400000000000000 */ + 9.98780041629987291873504773320746608E-01Q, /* 3ffeff6018fd65896800000000000000 */ + 9.98810522443035364581476187595399097E-01Q, /* 3ffeff6417c196471000000000000000 */ + 9.98841004186298203615379520670103375E-01Q, /* 3ffeff68168dc4951400000000000000 */ + 9.98871486859804230684645176552294288E-01Q, /* 3ffeff6c1561f0837400000000000000 */ + 9.98901970463581839743127943620493170E-01Q, /* 3ffeff70143e1a222c00000000000000 */ + 9.98932454997659369233531378995394334E-01Q, /* 3ffeff74132241813000000000000000 */ + 9.98962940462065268620861502313346136E-01Q, /* 3ffeff78120e66b08400000000000000 */ + 9.98993426856827904103397486323956400E-01Q, /* 3ffeff7c110289c02000000000000000 */ + 9.99023914181975669634994119405746460E-01Q, /* 3ffeff800ffeaac00000000000000000 */ + 9.99054402437536959169506189937237650E-01Q, /* 3ffeff840f02c9c02000000000000000 */ + 9.99084891623540138905212870668037795E-01Q, /* 3ffeff880e0ee6d07800000000000000 */ + 9.99115381740013658307120181234495249E-01Q, /* 3ffeff8c0d2302010c00000000000000 */ + 9.99145872786985911329082910015131347E-01Q, /* 3ffeff900c3f1b61d800000000000000 */ + 9.99176364764485236413804614130640402E-01Q, /* 3ffeff940b633302d000000000000000 */ + 9.99206857672540083026291313217370771E-01Q, /* 3ffeff980a8f48f3f800000000000000 */ + 9.99237351511178817364822180024930276E-01Q, /* 3ffeff9c09c35d454800000000000000 */ + 9.99267846280429861138827618560753763E-01Q, /* 3ffeffa008ff7006c000000000000000 */ + 9.99298341980321608302162417203362565E-01Q, /* 3ffeffa4084381485c00000000000000 */ + 9.99328838610882452808681364331278019E-01Q, /* 3ffeffa8078f911a1800000000000000 */ + 9.99359336172140816367814863951934967E-01Q, /* 3ffeffac06e39f8bf400000000000000 */ + 9.99389834664125092933417704443854745E-01Q, /* 3ffeffb0063facadec00000000000000 */ + 9.99420334086863676459344674185558688E-01Q, /* 3ffeffb405a3b88ffc00000000000000 */ + 9.99450834440384988655026177184481639E-01Q, /* 3ffeffb8050fc3422400000000000000 */ + 9.99481335724717395718741386190231424E-01Q, /* 3ffeffbc0483ccd45c00000000000000 */ + 9.99511837939889374871071936468069907E-01Q, /* 3ffeffc003ffd556ac00000000000000 */ + 9.99542341085929264554721385138691403E-01Q, /* 3ffeffc40383dcd90800000000000000 */ + 9.99572845162865514234695751838444266E-01Q, /* 3ffeffc8030fe36b7400000000000000 */ + 9.99603350170726517864849824945849832E-01Q, /* 3ffeffcc02a3e91dec00000000000000 */ + 9.99633856109540669399038392839429434E-01Q, /* 3ffeffd0023fee006c00000000000000 */ + 9.99664362979336418302267475155531429E-01Q, /* 3ffeffd401e3f222f800000000000000 */ + 9.99694870780142130772816244643763639E-01Q, /* 3ffeffd8018ff5958800000000000000 */ + 9.99725379511986284031266336569387931E-01Q, /* 3ffeffdc0143f8682400000000000000 */ + 9.99755889174897216520321308053098619E-01Q, /* 3ffeffe000fffaaac000000000000000 */ + 9.99786399768903377704987178731244057E-01Q, /* 3ffeffe400c3fc6d6000000000000000 */ + 9.99816911294033217050269968240172602E-01Q, /* 3ffeffe8008ffdc00800000000000000 */ + 9.99847423750315072998873233700578567E-01Q, /* 3ffeffec0063feb2ac00000000000000 */ + 9.99877937137777450526954226006637327E-01Q, /* 3ffefff0003fff555800000000000000 */ + 9.99908451456448688077216502279043198E-01Q, /* 3ffefff40023ffb80000000000000000 */ + 9.99938966706357262870241697783058044E-01Q, /* 3ffefff8000fffeaac00000000000000 */ + 9.99969482887531541104308985268289689E-01Q, /* 3ffefffc0003fffd5400000000000000 */ +#define T_EXPL_RES2 (T_EXPL_RES1 + 1 + 89 + 65) + 1.00000000000000000000000000000000000E+00Q, /* 3fff0000000000000000000000000000 */ + 1.00003051804379100575559391472779680E+00Q, /* 3fff0002000200015400000000000000 */ + 1.00006103701893306334724798034585547E+00Q, /* 3fff00040008000aac00000000000000 */ + 1.00009155692545448346209013834595680E+00Q, /* 3fff0006001200240000000000000000 */ + 1.00012207776338379883185325525118969E+00Q, /* 3fff0008002000555800000000000000 */ + 1.00015259953274932014366527255333494E+00Q, /* 3fff000a003200a6ac00000000000000 */ + 1.00018312223357958012925905677548144E+00Q, /* 3fff000c004801200400000000000000 */ + 1.00021364586590294498691378066723701E+00Q, /* 3fff000e006201c95c00000000000000 */ + 1.00024417042974783642605984823603649E+00Q, /* 3fff0010008002aab400000000000000 */ + 1.00027469592514273166727889474714175E+00Q, /* 3fff001200a203cc1000000000000000 */ + 1.00030522235211605242000132420798764E+00Q, /* 3fff001400c805357000000000000000 */ + 1.00033574971069616488250630936818197E+00Q, /* 3fff001600f206eed000000000000000 */ + 1.00036627800091160178652671675081365E+00Q, /* 3fff0018012009003800000000000000 */ + 1.00039680722279067381919048784766346E+00Q, /* 3fff001a01520b71a000000000000000 */ + 1.00042733737636191371223048918182030E+00Q, /* 3fff001c01880e4b1000000000000000 */ + 1.00045786846165368766392589350289200E+00Q, /* 3fff001e01c211948400000000000000 */ + 1.00048840047869447289485833607614040E+00Q, /* 3fff0020020015560000000000000000 */ + 1.00051893342751269111445822090900037E+00Q, /* 3fff0022024219978400000000000000 */ + 1.00054946730813676403215595200890675E+00Q, /* 3fff002402881e611000000000000000 */ + 1.00058000212059516886853316464112140E+00Q, /* 3fff002602d223baa800000000000000 */ + 1.00061053786491632733302026281307917E+00Q, /* 3fff0028032029ac4c00000000000000 */ + 1.00064107454112866113504765053221490E+00Q, /* 3fff002a0372303dfc00000000000000 */ + 1.00067161214926059198404573180596344E+00Q, /* 3fff002c03c83777b800000000000000 */ + 1.00070215068934059710059614189958666E+00Q, /* 3fff002e04223f618400000000000000 */ + 1.00073269016139709819412928482051939E+00Q, /* 3fff0030048048036000000000000000 */ + 1.00076323056545857248522679583402351E+00Q, /* 3fff003204e251655000000000000000 */ + 1.00079377190155338617216784768970683E+00Q, /* 3fff003405485b8f5000000000000000 */ + 1.00082431416971007198668530691065826E+00Q, /* 3fff003605b266896800000000000000 */ + 1.00085485736995705163820957750431262E+00Q, /* 3fff00380620725b9800000000000000 */ + 1.00088540150232269132501983222027775E+00Q, /* 3fff003a06927f0ddc00000000000000 */ + 1.00091594656683552377884893758164253E+00Q, /* 3fff003c07088ca83c00000000000000 */ + 1.00094649256352402622027852885366883E+00Q, /* 3fff003e07829b32bc00000000000000 */ + 1.00097703949241650933643654752813745E+00Q, /* 3fff00400800aab55400000000000000 */ + 1.00100758735354156137020709138596430E+00Q, /* 3fff00420882bb381000000000000000 */ + 1.00103813614692760403102056443458423E+00Q, /* 3fff00440908ccc2f000000000000000 */ + 1.00106868587260300351715613942360505E+00Q, /* 3fff00460992df5df000000000000000 */ + 1.00109923653059629256034668287611566E+00Q, /* 3fff00480a20f3111800000000000000 */ + 1.00112978812093589287002259879955091E+00Q, /* 3fff004a0ab307e46800000000000000 */ + 1.00116034064365022615561429120134562E+00Q, /* 3fff004c0b491ddfe000000000000000 */ + 1.00119089409876788066000585786241572E+00Q, /* 3fff004e0be3350b8c00000000000000 */ + 1.00122144848631711155917400901671499E+00Q, /* 3fff00500c814d6f6000000000000000 */ + 1.00125200380632656260715407370298635E+00Q, /* 3fff00520d2367136c00000000000000 */ + 1.00128256005882454449107399341301061E+00Q, /* 3fff00540dc981ffa800000000000000 */ + 1.00131311724383964545381786592770368E+00Q, /* 3fff00560e739e3c2000000000000000 */ + 1.00134367536140017618251363273884635E+00Q, /* 3fff00580f21bbd0cc00000000000000 */ + 1.00137423441153472492004539162735455E+00Q, /* 3fff005a0fd3dac5b800000000000000 */ + 1.00140479439427171337584354660066310E+00Q, /* 3fff005c1089fb22e400000000000000 */ + 1.00143535530963956325933850166620687E+00Q, /* 3fff005e11441cf05000000000000000 */ + 1.00146591715766680730226312334707472E+00Q, /* 3fff0060120240360400000000000000 */ + 1.00149647993838186721404781565070152E+00Q, /* 3fff006212c464fc0000000000000000 */ + 1.00152704365181316470412298258452211E+00Q, /* 3fff0064138a8b4a4400000000000000 */ + 1.00155760829798923250422149067162536E+00Q, /* 3fff00661454b328d800000000000000 */ + 1.00158817387693849232377374391944613E+00Q, /* 3fff00681522dc9fbc00000000000000 */ + 1.00161874038868942138336137759324629E+00Q, /* 3fff006a15f507b6f400000000000000 */ + 1.00164930783327055241471725821611471E+00Q, /* 3fff006c16cb34768800000000000000 */ + 1.00167987621071025161612055853765924E+00Q, /* 3fff006e17a562e67400000000000000 */ + 1.00171044552103705171930414508096874E+00Q, /* 3fff00701883930ec000000000000000 */ + 1.00174101576427937443369842185347807E+00Q, /* 3fff00721965c4f76c00000000000000 */ + 1.00177158694046569697988502412044909E+00Q, /* 3fff00741a4bf8a87c00000000000000 */ + 1.00180215904962455208959681840497069E+00Q, /* 3fff00761b362e29f800000000000000 */ + 1.00183273209178441698341543997230474E+00Q, /* 3fff00781c246583e400000000000000 */ + 1.00186330606697365785962006157205906E+00Q, /* 3fff007a1d169ebe3c00000000000000 */ + 1.00189388097522080744994354972732253E+00Q, /* 3fff007c1e0cd9e10800000000000000 */ + 1.00192445681655439848611877096118405E+00Q, /* 3fff007e1f0716f45000000000000000 */ + 1.00195503359100279716642489802325144E+00Q, /* 3fff0080200556001000000000000000 */ + 1.00198561129859459173374602869444061E+00Q, /* 3fff00822107970c5400000000000000 */ +}; + + + + + + + +/* The basic design here is from + Abraham Ziv, "Fast Evaluation of Elementary Mathematical Functions with + Correctly Rounded Last Bit", ACM Trans. Math. Soft., 17 (3), September 1991, + pp. 410-423. + + We work with number pairs where the first number is the high part and + the second one is the low part. Arithmetic with the high part numbers must + be exact, without any roundoff errors. + + The input value, X, is written as + X = n * ln(2)_0 + arg1[t1]_0 + arg2[t2]_0 + x + - n * ln(2)_1 + arg1[t1]_1 + arg2[t2]_1 + xl + + where: + - n is an integer, 16384 >= n >= -16495; + - ln(2)_0 is the first 93 bits of ln(2), and |ln(2)_0-ln(2)-ln(2)_1| < 2^-205 + - t1 is an integer, 89 >= t1 >= -89 + - t2 is an integer, 65 >= t2 >= -65 + - |arg1[t1]-t1/256.0| < 2^-53 + - |arg2[t2]-t2/32768.0| < 2^-53 + - x + xl is whatever is left, |x + xl| < 2^-16 + 2^-53 + + Then e^x is approximated as + + e^x = 2^n_1 ( 2^n_0 e^(arg1[t1]_0 + arg1[t1]_1) e^(arg2[t2]_0 + arg2[t2]_1) + + 2^n_0 e^(arg1[t1]_0 + arg1[t1]_1) e^(arg2[t2]_0 + arg2[t2]_1) + * p (x + xl + n * ln(2)_1)) + where: + - p(x) is a polynomial approximating e(x)-1 + - e^(arg1[t1]_0 + arg1[t1]_1) is obtained from a table + - e^(arg2[t2]_0 + arg2[t2]_1) likewise + - n_1 + n_0 = n, so that |n_0| < -LDBL_MIN_EXP-1. + + If it happens that n_1 == 0 (this is the usual case), that multiplication + is omitted. + */ + + +static const __float128 C[] = { +/* Smallest integer x for which e^x overflows. */ +#define himark C[0] + 11356.523406294143949491931077970765Q, + +/* Largest integer x for which e^x underflows. */ +#define lomark C[1] +-11433.4627433362978788372438434526231Q, + +/* 3x2^96 */ +#define THREEp96 C[2] + 59421121885698253195157962752.0Q, + +/* 3x2^103 */ +#define THREEp103 C[3] + 30423614405477505635920876929024.0Q, + +/* 3x2^111 */ +#define THREEp111 C[4] + 7788445287802241442795744493830144.0Q, + +/* 1/ln(2) */ +#define M_1_LN2 C[5] + 1.44269504088896340735992468100189204Q, + +/* first 93 bits of ln(2) */ +#define M_LN2_0 C[6] + 0.693147180559945309417232121457981864Q, + +/* ln2_0 - ln(2) */ +#define M_LN2_1 C[7] +-1.94704509238074995158795957333327386E-31Q, + +/* very small number */ +#define TINY C[8] + 1.0e-4900Q, + +/* 2^16383 */ +#define TWO16383 C[9] + 5.94865747678615882542879663314003565E+4931Q, + +/* 256 */ +#define TWO8 C[10] + 256.0Q, + +/* 32768 */ +#define TWO15 C[11] + 32768.0Q, + +/* Chebyshev polynom coeficients for (exp(x)-1)/x */ +#define P1 C[12] +#define P2 C[13] +#define P3 C[14] +#define P4 C[15] +#define P5 C[16] +#define P6 C[17] + 0.5Q, + 1.66666666666666666666666666666666683E-01Q, + 4.16666666666666666666654902320001674E-02Q, + 8.33333333333333333333314659767198461E-03Q, + 1.38888888889899438565058018857254025E-03Q, + 1.98412698413981650382436541785404286E-04Q, +}; + + +__float128 +expq (__float128 x) +{ + /* Check for usual case. */ + if (__builtin_isless (x, himark) && __builtin_isgreater (x, lomark)) + { + int tval1, tval2, unsafe, n_i; + __float128 x22, n, t, result, xl; + ieee854_float128 ex2_u, scale_u; +#ifdef USE_FENV_H + fenv_t oldenv; + + feholdexcept (&oldenv); +# ifdef FE_TONEAREST + fesetround (FE_TONEAREST); +# endif +#endif + + /* Calculate n. */ + n = x * M_1_LN2 + THREEp111; + n -= THREEp111; + x = x - n * M_LN2_0; + xl = n * M_LN2_1; + + /* Calculate t/256. */ + t = x + THREEp103; + t -= THREEp103; + + /* Compute tval1 = t. */ + tval1 = (int) (t * TWO8); + + x -= __expl_table[T_EXPL_ARG1+2*tval1]; + xl -= __expl_table[T_EXPL_ARG1+2*tval1+1]; + + /* Calculate t/32768. */ + t = x + THREEp96; + t -= THREEp96; + + /* Compute tval2 = t. */ + tval2 = (int) (t * TWO15); + + x -= __expl_table[T_EXPL_ARG2+2*tval2]; + xl -= __expl_table[T_EXPL_ARG2+2*tval2+1]; + + x = x + xl; + + /* Compute ex2 = 2^n_0 e^(argtable[tval1]) e^(argtable[tval2]). */ + ex2_u.value = __expl_table[T_EXPL_RES1 + tval1] + * __expl_table[T_EXPL_RES2 + tval2]; + n_i = (int)n; + /* 'unsafe' is 1 iff n_1 != 0. */ + unsafe = abs(n_i) >= -FLT128_MIN_EXP - 1; + ex2_u.ieee.exponent += n_i >> unsafe; + + /* Compute scale = 2^n_1. */ + scale_u.value = 1.0Q; + scale_u.ieee.exponent += n_i - (n_i >> unsafe); + + /* Approximate e^x2 - 1, using a seventh-degree polynomial, + with maximum error in [-2^-16-2^-53,2^-16+2^-53] + less than 4.8e-39. */ + x22 = x + x*x*(P1+x*(P2+x*(P3+x*(P4+x*(P5+x*P6))))); + + /* Return result. */ +#ifdef USE_FENV_H + fesetenv (&oldenv); +#endif + result = x22 * ex2_u.value + ex2_u.value; + + /* Now we can test whether the result is ultimate or if we are unsure. + In the later case we should probably call a mpn based routine to give + the ultimate result. + Empirically, this routine is already ultimate in about 99.9986% of + cases, the test below for the round to nearest case will be false + in ~ 99.9963% of cases. + Without proc2 routine maximum error which has been seen is + 0.5000262 ulp. + + union ieee854_long_double ex3_u; + +#ifdef USE_FENV_H + #ifdef FE_TONEAREST + fesetround (FE_TONEAREST); + #endif +#endif + ex3_u.d = (result - ex2_u.d) - x22 * ex2_u.d; + ex2_u.d = result; + ex3_u.ieee.exponent += LDBL_MANT_DIG + 15 + IEEE854_LONG_DOUBLE_BIAS + - ex2_u.ieee.exponent; + n_i = abs (ex3_u.d); + n_i = (n_i + 1) / 2; +#ifdef USE_FENV_H + fesetenv (&oldenv); + #ifdef FE_TONEAREST + if (fegetround () == FE_TONEAREST) + n_i -= 0x4000; + #endif +#endif + if (!n_i) { + return __ieee754_expl_proc2 (origx); + } + */ + if (!unsafe) + return result; + else + return result * scale_u.value; + } + /* Exceptional cases: */ + else if (__builtin_isless (x, himark)) + { + if (isinfq (x)) + /* e^-inf == 0, with no error. */ + return 0; + else + /* Underflow */ + return TINY * TINY; + } + + /* Return x, if x is a NaN or Inf; or overflow, otherwise. */ + return TWO16383*x; +} diff --git a/libquadmath/math/fabsq.c b/libquadmath/math/fabsq.c new file mode 100644 index 000000000..7ec2850fe --- /dev/null +++ b/libquadmath/math/fabsq.c @@ -0,0 +1,25 @@ +/* s_fabsl.c -- __float128 version of s_fabs.c. + * Conversion to IEEE quad long double by Jakub Jelinek, jj@ultra.linux.cz. + */ + +/* + * ==================================================== + * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. + * + * Developed at SunPro, a Sun Microsystems, Inc. business. + * Permission to use, copy, modify, and distribute this + * software is freely granted, provided that this notice + * is preserved. + * ==================================================== + */ + +#include "quadmath-imp.h" + +__float128 +fabsq (__float128 x) +{ + uint64_t hx; + GET_FLT128_MSW64(hx,x); + SET_FLT128_MSW64(x,hx&0x7fffffffffffffffLL); + return x; +} diff --git a/libquadmath/math/fdimq.c b/libquadmath/math/fdimq.c new file mode 100644 index 000000000..539fb08c6 --- /dev/null +++ b/libquadmath/math/fdimq.c @@ -0,0 +1,43 @@ +/* Return positive difference between arguments. + Copyright (C) 1997, 2004, 2009 Free Software Foundation, Inc. + This file is part of the GNU C Library. + Contributed by Ulrich Drepper <drepper@cygnus.com>, 1997. + + The GNU C Library is free software; you can redistribute it and/or + modify it under the terms of the GNU Lesser General Public + License as published by the Free Software Foundation; either + version 2.1 of the License, or (at your option) any later version. + + The GNU C Library is distributed in the hope that it will be useful, + but WITHOUT ANY WARRANTY; without even the implied warranty of + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + Lesser General Public License for more details. + + You should have received a copy of the GNU Lesser General Public + License along with the GNU C Library; if not, write to the Free + Software Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA + 02111-1307 USA. */ + +#include <errno.h> +#include "quadmath-imp.h" + +__float128 +fdimq (__float128 x, __float128 y) +{ + int clsx = fpclassifyq (x); + int clsy = fpclassifyq (y); + + if (clsx == QUADFP_NAN || clsy == QUADFP_NAN + || (y < 0 && clsx == QUADFP_INFINITE && clsy == QUADFP_INFINITE)) + /* Raise invalid flag. */ + return x - y; + + if (x <= y) + return 0.0Q; + + __float128 r = x - y; + if (isinfq (r)) + errno = ERANGE; + + return r; +} diff --git a/libquadmath/math/finiteq.c b/libquadmath/math/finiteq.c new file mode 100644 index 000000000..f22e9d7f2 --- /dev/null +++ b/libquadmath/math/finiteq.c @@ -0,0 +1,25 @@ +/* s_finitel.c -- long double version of s_finite.c. + * Conversion to IEEE quad long double by Jakub Jelinek, jj@ultra.linux.cz. + */ + +/* + * ==================================================== + * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. + * + * Developed at SunPro, a Sun Microsystems, Inc. business. + * Permission to use, copy, modify, and distribute this + * software is freely granted, provided that this notice + * is preserved. + * ==================================================== + */ + +#include "quadmath-imp.h" + +int +finiteq (const __float128 x) +{ + int64_t hx; + GET_FLT128_MSW64(hx,x); + return (int)((uint64_t)((hx&0x7fffffffffffffffLL) + -0x7fff000000000000LL)>>63); +} diff --git a/libquadmath/math/floorq.c b/libquadmath/math/floorq.c new file mode 100644 index 000000000..781cf40e3 --- /dev/null +++ b/libquadmath/math/floorq.c @@ -0,0 +1,62 @@ +/* s_floorl.c -- long double version of s_floor.c. + * Conversion to IEEE quad long double by Jakub Jelinek, jj@ultra.linux.cz. + */ + +/* + * ==================================================== + * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. + * + * Developed at SunPro, a Sun Microsystems, Inc. business. + * Permission to use, copy, modify, and distribute this + * software is freely granted, provided that this notice + * is preserved. + * ==================================================== + */ + +#include "quadmath-imp.h" + +static const __float128 huge = 1.0e4930Q; + +__float128 +floorq (__float128 x) +{ + int64_t i0,i1,j0; + uint64_t i,j; + GET_FLT128_WORDS64(i0,i1,x); + j0 = ((i0>>48)&0x7fff)-0x3fff; + if(j0<48) { + if(j0<0) { /* raise inexact if x != 0 */ + if(huge+x>0.0) {/* return 0*sign(x) if |x|<1 */ + if(i0>=0) {i0=i1=0;} + else if(((i0&0x7fffffffffffffffLL)|i1)!=0) + { i0=0xbfff000000000000ULL;i1=0;} + } + } else { + i = (0x0000ffffffffffffULL)>>j0; + if(((i0&i)|i1)==0) return x; /* x is integral */ + if(huge+x>0.0) { /* raise inexact flag */ + if(i0<0) i0 += (0x0001000000000000LL)>>j0; + i0 &= (~i); i1=0; + } + } + } else if (j0>111) { + if(j0==0x4000) return x+x; /* inf or NaN */ + else return x; /* x is integral */ + } else { + i = -1ULL>>(j0-48); + if((i1&i)==0) return x; /* x is integral */ + if(huge+x>0.0) { /* raise inexact flag */ + if(i0<0) { + if(j0==48) i0+=1; + else { + j = i1+(1LL<<(112-j0)); + if(j<i1) i0 +=1 ; /* got a carry */ + i1=j; + } + } + i1 &= (~i); + } + } + SET_FLT128_WORDS64(x,i0,i1); + return x; +} diff --git a/libquadmath/math/fmaq.c b/libquadmath/math/fmaq.c new file mode 100644 index 000000000..126b0a2d2 --- /dev/null +++ b/libquadmath/math/fmaq.c @@ -0,0 +1,241 @@ +/* Compute x * y + z as ternary operation. + Copyright (C) 2010 Free Software Foundation, Inc. + This file is part of the GNU C Library. + Contributed by Jakub Jelinek <jakub@redhat.com>, 2010. + + The GNU C Library is free software; you can redistribute it and/or + modify it under the terms of the GNU Lesser General Public + License as published by the Free Software Foundation; either + version 2.1 of the License, or (at your option) any later version. + + The GNU C Library is distributed in the hope that it will be useful, + but WITHOUT ANY WARRANTY; without even the implied warranty of + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + Lesser General Public License for more details. + + You should have received a copy of the GNU Lesser General Public + License along with the GNU C Library; if not, write to the Free + Software Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA + 02111-1307 USA. */ + +#include "quadmath-imp.h" +#include <math.h> +#include <float.h> +#ifdef HAVE_FENV_H +# include <fenv.h> +# if defined HAVE_FEHOLDEXCEPT && defined HAVE_FESETROUND \ + && defined HAVE_FEUPDATEENV && defined HAVE_FETESTEXCEPT \ + && defined FE_TOWARDZERO && defined FE_INEXACT +# define USE_FENV_H +# endif +#endif + +/* This implementation uses rounding to odd to avoid problems with + double rounding. See a paper by Boldo and Melquiond: + http://www.lri.fr/~melquion/doc/08-tc.pdf */ + +__float128 +fmaq (__float128 x, __float128 y, __float128 z) +{ + ieee854_float128 u, v, w; + int adjust = 0; + u.value = x; + v.value = y; + w.value = z; + if (__builtin_expect (u.ieee.exponent + v.ieee.exponent + >= 0x7fff + IEEE854_FLOAT128_BIAS + - FLT128_MANT_DIG, 0) + || __builtin_expect (u.ieee.exponent >= 0x7fff - FLT128_MANT_DIG, 0) + || __builtin_expect (v.ieee.exponent >= 0x7fff - FLT128_MANT_DIG, 0) + || __builtin_expect (w.ieee.exponent >= 0x7fff - FLT128_MANT_DIG, 0) + || __builtin_expect (u.ieee.exponent + v.ieee.exponent + <= IEEE854_FLOAT128_BIAS + FLT128_MANT_DIG, 0)) + { + /* If z is Inf, but x and y are finite, the result should be + z rather than NaN. */ + if (w.ieee.exponent == 0x7fff + && u.ieee.exponent != 0x7fff + && v.ieee.exponent != 0x7fff) + return (z + x) + y; + /* If x or y or z is Inf/NaN, or if fma will certainly overflow, + or if x * y is less than half of FLT128_DENORM_MIN, + compute as x * y + z. */ + if (u.ieee.exponent == 0x7fff + || v.ieee.exponent == 0x7fff + || w.ieee.exponent == 0x7fff + || u.ieee.exponent + v.ieee.exponent + > 0x7fff + IEEE854_FLOAT128_BIAS + || u.ieee.exponent + v.ieee.exponent + < IEEE854_FLOAT128_BIAS - FLT128_MANT_DIG - 2) + return x * y + z; + if (u.ieee.exponent + v.ieee.exponent + >= 0x7fff + IEEE854_FLOAT128_BIAS - FLT128_MANT_DIG) + { + /* Compute 1p-113 times smaller result and multiply + at the end. */ + if (u.ieee.exponent > v.ieee.exponent) + u.ieee.exponent -= FLT128_MANT_DIG; + else + v.ieee.exponent -= FLT128_MANT_DIG; + /* If x + y exponent is very large and z exponent is very small, + it doesn't matter if we don't adjust it. */ + if (w.ieee.exponent > FLT128_MANT_DIG) + w.ieee.exponent -= FLT128_MANT_DIG; + adjust = 1; + } + else if (w.ieee.exponent >= 0x7fff - FLT128_MANT_DIG) + { + /* Similarly. + If z exponent is very large and x and y exponents are + very small, it doesn't matter if we don't adjust it. */ + if (u.ieee.exponent > v.ieee.exponent) + { + if (u.ieee.exponent > FLT128_MANT_DIG) + u.ieee.exponent -= FLT128_MANT_DIG; + } + else if (v.ieee.exponent > FLT128_MANT_DIG) + v.ieee.exponent -= FLT128_MANT_DIG; + w.ieee.exponent -= FLT128_MANT_DIG; + adjust = 1; + } + else if (u.ieee.exponent >= 0x7fff - FLT128_MANT_DIG) + { + u.ieee.exponent -= FLT128_MANT_DIG; + if (v.ieee.exponent) + v.ieee.exponent += FLT128_MANT_DIG; + else + v.value *= 0x1p113Q; + } + else if (v.ieee.exponent >= 0x7fff - FLT128_MANT_DIG) + { + v.ieee.exponent -= FLT128_MANT_DIG; + if (u.ieee.exponent) + u.ieee.exponent += FLT128_MANT_DIG; + else + u.value *= 0x1p113Q; + } + else /* if (u.ieee.exponent + v.ieee.exponent + <= IEEE854_FLOAT128_BIAS + FLT128_MANT_DIG) */ + { + if (u.ieee.exponent > v.ieee.exponent) + u.ieee.exponent += 2 * FLT128_MANT_DIG; + else + v.ieee.exponent += 2 * FLT128_MANT_DIG; + if (w.ieee.exponent <= 4 * FLT128_MANT_DIG + 4) + { + if (w.ieee.exponent) + w.ieee.exponent += 2 * FLT128_MANT_DIG; + else + w.value *= 0x1p226Q; + adjust = -1; + } + /* Otherwise x * y should just affect inexact + and nothing else. */ + } + x = u.value; + y = v.value; + z = w.value; + } + /* Multiplication m1 + m2 = x * y using Dekker's algorithm. */ +#define C ((1LL << (FLT128_MANT_DIG + 1) / 2) + 1) + __float128 x1 = x * C; + __float128 y1 = y * C; + __float128 m1 = x * y; + x1 = (x - x1) + x1; + y1 = (y - y1) + y1; + __float128 x2 = x - x1; + __float128 y2 = y - y1; + __float128 m2 = (((x1 * y1 - m1) + x1 * y2) + x2 * y1) + x2 * y2; + + /* Addition a1 + a2 = z + m1 using Knuth's algorithm. */ + __float128 a1 = z + m1; + __float128 t1 = a1 - z; + __float128 t2 = a1 - t1; + t1 = m1 - t1; + t2 = z - t2; + __float128 a2 = t1 + t2; + +#ifdef USE_FENV_H + fenv_t env; + feholdexcept (&env); + fesetround (FE_TOWARDZERO); +#endif + /* Perform m2 + a2 addition with round to odd. */ + u.value = a2 + m2; + + if (__builtin_expect (adjust == 0, 1)) + { +#ifdef USE_FENV_H + if ((u.ieee.mant_low & 1) == 0 && u.ieee.exponent != 0x7fff) + u.ieee.mant_low |= fetestexcept (FE_INEXACT) != 0; + feupdateenv (&env); +#endif + /* Result is a1 + u.value. */ + return a1 + u.value; + } + else if (__builtin_expect (adjust > 0, 1)) + { +#ifdef USE_FENV_H + if ((u.ieee.mant_low & 1) == 0 && u.ieee.exponent != 0x7fff) + u.ieee.mant_low |= fetestexcept (FE_INEXACT) != 0; + feupdateenv (&env); +#endif + /* Result is a1 + u.value, scaled up. */ + return (a1 + u.value) * 0x1p113Q; + } + else + { +#ifdef USE_FENV_H + if ((u.ieee.mant_low & 1) == 0) + u.ieee.mant_low |= fetestexcept (FE_INEXACT) != 0; +#endif + v.value = a1 + u.value; + /* Ensure the addition is not scheduled after fetestexcept call. */ + asm volatile ("" : : "m" (v)); +#ifdef USE_FENV_H + int j = fetestexcept (FE_INEXACT) != 0; + feupdateenv (&env); +#else + int j = 0; +#endif + /* Ensure the following computations are performed in default rounding + mode instead of just reusing the round to zero computation. */ + asm volatile ("" : "=m" (u) : "m" (u)); + /* If a1 + u.value is exact, the only rounding happens during + scaling down. */ + if (j == 0) + return v.value * 0x1p-226Q; + /* If result rounded to zero is not subnormal, no double + rounding will occur. */ + if (v.ieee.exponent > 226) + return (a1 + u.value) * 0x1p-226Q; + /* If v.value * 0x1p-226Q with round to zero is a subnormal above + or equal to FLT128_MIN / 2, then v.value * 0x1p-226Q shifts mantissa + down just by 1 bit, which means v.ieee.mant_low |= j would + change the round bit, not sticky or guard bit. + v.value * 0x1p-226Q never normalizes by shifting up, + so round bit plus sticky bit should be already enough + for proper rounding. */ + if (v.ieee.exponent == 226) + { + /* v.ieee.mant_low & 2 is LSB bit of the result before rounding, + v.ieee.mant_low & 1 is the round bit and j is our sticky + bit. In round-to-nearest 001 rounds down like 00, + 011 rounds up, even though 01 rounds down (thus we need + to adjust), 101 rounds down like 10 and 111 rounds up + like 11. */ + if ((v.ieee.mant_low & 3) == 1) + { + v.value *= 0x1p-226Q; + if (v.ieee.negative) + return v.value - 0x1p-16494Q /* __FLT128_DENORM_MIN__ */; + else + return v.value + 0x1p-16494Q /* __FLT128_DENORM_MIN__ */; + } + else + return v.value * 0x1p-226Q; + } + v.ieee.mant_low |= j; + return v.value * 0x1p-226Q; + } +} diff --git a/libquadmath/math/fmaxq.c b/libquadmath/math/fmaxq.c new file mode 100644 index 000000000..e8ed6f440 --- /dev/null +++ b/libquadmath/math/fmaxq.c @@ -0,0 +1,28 @@ +/* Return maximum numeric value of X and Y. + Copyright (C) 1997 Free Software Foundation, Inc. + This file is part of the GNU C Library. + Contributed by Ulrich Drepper <drepper@cygnus.com>, 1997. + + The GNU C Library is free software; you can redistribute it and/or + modify it under the terms of the GNU Lesser General Public + License as published by the Free Software Foundation; either + version 2.1 of the License, or (at your option) any later version. + + The GNU C Library is distributed in the hope that it will be useful, + but WITHOUT ANY WARRANTY; without even the implied warranty of + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + Lesser General Public License for more details. + + You should have received a copy of the GNU Lesser General Public + License along with the GNU C Library; if not, write to the Free + Software Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA + 02111-1307 USA. */ + +#include "quadmath-imp.h" + + +__float128 +fmaxq (__float128 x, __float128 y) +{ + return (__builtin_isgreaterequal (x, y) || isnanq (y)) ? x : y; +} diff --git a/libquadmath/math/fminq.c b/libquadmath/math/fminq.c new file mode 100644 index 000000000..2fbe4116a --- /dev/null +++ b/libquadmath/math/fminq.c @@ -0,0 +1,28 @@ +/* Return minimum numeric value of X and Y. + Copyright (C) 1997 Free Software Foundation, Inc. + This file is part of the GNU C Library. + Contributed by Ulrich Drepper <drepper@cygnus.com>, 1997. + + The GNU C Library is free software; you can redistribute it and/or + modify it under the terms of the GNU Lesser General Public + License as published by the Free Software Foundation; either + version 2.1 of the License, or (at your option) any later version. + + The GNU C Library is distributed in the hope that it will be useful, + but WITHOUT ANY WARRANTY; without even the implied warranty of + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + Lesser General Public License for more details. + + You should have received a copy of the GNU Lesser General Public + License along with the GNU C Library; if not, write to the Free + Software Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA + 02111-1307 USA. */ + +#include "quadmath-imp.h" + + +__float128 +fminq (__float128 x, __float128 y) +{ + return (__builtin_islessequal (x, y) || isnanq (y)) ? x : y; +} diff --git a/libquadmath/math/fmodq.c b/libquadmath/math/fmodq.c new file mode 100644 index 000000000..036e3dd53 --- /dev/null +++ b/libquadmath/math/fmodq.c @@ -0,0 +1,129 @@ +/* e_fmodl.c -- long double version of e_fmod.c. + * Conversion to IEEE quad long double by Jakub Jelinek, jj@ultra.linux.cz. + */ +/* + * ==================================================== + * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. + * + * Developed at SunPro, a Sun Microsystems, Inc. business. + * Permission to use, copy, modify, and distribute this + * software is freely granted, provided that this notice + * is preserved. + * ==================================================== + */ + +/* + * fmodq(x,y) + * Return x mod y in exact arithmetic + * Method: shift and subtract + */ + +#include "quadmath-imp.h" + +static const __float128 one = 1.0, Zero[] = {0.0, -0.0,}; + +__float128 +fmodq (__float128 x, __float128 y) +{ + int64_t n,hx,hy,hz,ix,iy,sx,i; + uint64_t lx,ly,lz; + + GET_FLT128_WORDS64(hx,lx,x); + GET_FLT128_WORDS64(hy,ly,y); + sx = hx&0x8000000000000000ULL; /* sign of x */ + hx ^=sx; /* |x| */ + hy &= 0x7fffffffffffffffLL; /* |y| */ + + /* purge off exception values */ + if((hy|ly)==0||(hx>=0x7fff000000000000LL)|| /* y=0,or x not finite */ + ((hy|((ly|-ly)>>63))>0x7fff000000000000LL)) /* or y is NaN */ + return (x*y)/(x*y); + if(hx<=hy) { + if((hx<hy)||(lx<ly)) return x; /* |x|<|y| return x */ + if(lx==ly) + return Zero[(uint64_t)sx>>63]; /* |x|=|y| return x*0*/ + } + + /* determine ix = ilogb(x) */ + if(hx<0x0001000000000000LL) { /* subnormal x */ + if(hx==0) { + for (ix = -16431, i=lx; i>0; i<<=1) ix -=1; + } else { + for (ix = -16382, i=hx<<15; i>0; i<<=1) ix -=1; + } + } else ix = (hx>>48)-0x3fff; + + /* determine iy = ilogb(y) */ + if(hy<0x0001000000000000LL) { /* subnormal y */ + if(hy==0) { + for (iy = -16431, i=ly; i>0; i<<=1) iy -=1; + } else { + for (iy = -16382, i=hy<<15; i>0; i<<=1) iy -=1; + } + } else iy = (hy>>48)-0x3fff; + + /* set up {hx,lx}, {hy,ly} and align y to x */ + if(ix >= -16382) + hx = 0x0001000000000000LL|(0x0000ffffffffffffLL&hx); + else { /* subnormal x, shift x to normal */ + n = -16382-ix; + if(n<=63) { + hx = (hx<<n)|(lx>>(64-n)); + lx <<= n; + } else { + hx = lx<<(n-64); + lx = 0; + } + } + if(iy >= -16382) + hy = 0x0001000000000000LL|(0x0000ffffffffffffLL&hy); + else { /* subnormal y, shift y to normal */ + n = -16382-iy; + if(n<=63) { + hy = (hy<<n)|(ly>>(64-n)); + ly <<= n; + } else { + hy = ly<<(n-64); + ly = 0; + } + } + + /* fix point fmod */ + n = ix - iy; + while(n--) { + hz=hx-hy;lz=lx-ly; if(lx<ly) hz -= 1; + if(hz<0){hx = hx+hx+(lx>>63); lx = lx+lx;} + else { + if((hz|lz)==0) /* return sign(x)*0 */ + return Zero[(uint64_t)sx>>63]; + hx = hz+hz+(lz>>63); lx = lz+lz; + } + } + hz=hx-hy;lz=lx-ly; if(lx<ly) hz -= 1; + if(hz>=0) {hx=hz;lx=lz;} + + /* convert back to floating value and restore the sign */ + if((hx|lx)==0) /* return sign(x)*0 */ + return Zero[(uint64_t)sx>>63]; + while(hx<0x0001000000000000LL) { /* normalize x */ + hx = hx+hx+(lx>>63); lx = lx+lx; + iy -= 1; + } + if(iy>= -16382) { /* normalize output */ + hx = ((hx-0x0001000000000000LL)|((iy+16383)<<48)); + SET_FLT128_WORDS64(x,hx|sx,lx); + } else { /* subnormal output */ + n = -16382 - iy; + if(n<=48) { + lx = (lx>>n)|((uint64_t)hx<<(64-n)); + hx >>= n; + } else if (n<=63) { + lx = (hx<<(64-n))|(lx>>n); hx = sx; + } else { + lx = hx>>(n-64); hx = sx; + } + SET_FLT128_WORDS64(x,hx|sx,lx); + x *= one; /* create necessary signal */ + } + return x; /* exact output */ +} diff --git a/libquadmath/math/frexpq.c b/libquadmath/math/frexpq.c new file mode 100644 index 000000000..fa3d7836d --- /dev/null +++ b/libquadmath/math/frexpq.c @@ -0,0 +1,49 @@ +/* s_frexpl.c -- long double version of s_frexp.c. + * Conversion to IEEE quad long double by Jakub Jelinek, jj@ultra.linux.cz. + */ + +/* + * ==================================================== + * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. + * + * Developed at SunPro, a Sun Microsystems, Inc. business. + * Permission to use, copy, modify, and distribute this + * software is freely granted, provided that this notice + * is preserved. + * ==================================================== + */ + +/* + * for non-zero x + * x = frexpq(arg,&exp); + * return a __float128 fp quantity x such that 0.5 <= |x| <1.0 + * and the corresponding binary exponent "exp". That is + * arg = x*2^exp. + * If arg is inf, 0.0, or NaN, then frexpq(arg,&exp) returns arg + * with *exp=0. + */ + +#include "quadmath-imp.h" + +static const __float128 +two114 = 2.0769187434139310514121985316880384E+34Q; /* 0x4071000000000000, 0 */ + +__float128 +frexpq (__float128 x, int *eptr) +{ + uint64_t hx, lx, ix; + GET_FLT128_WORDS64(hx,lx,x); + ix = 0x7fffffffffffffffULL&hx; + *eptr = 0; + if(ix>=0x7fff000000000000ULL||((ix|lx)==0)) return x; /* 0,inf,nan */ + if (ix<0x0001000000000000ULL) { /* subnormal */ + x *= two114; + GET_FLT128_MSW64(hx,x); + ix = hx&0x7fffffffffffffffULL; + *eptr = -114; + } + *eptr += (ix>>48)-16382; + hx = (hx&0x8000ffffffffffffULL) | 0x3ffe000000000000ULL; + SET_FLT128_MSW64(x,hx); + return x; +} diff --git a/libquadmath/math/hypotq.c b/libquadmath/math/hypotq.c new file mode 100644 index 000000000..2df317f36 --- /dev/null +++ b/libquadmath/math/hypotq.c @@ -0,0 +1,124 @@ +/* + * ==================================================== + * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. + * + * Developed at SunPro, a Sun Microsystems, Inc. business. + * Permission to use, copy, modify, and distribute this + * software is freely granted, provided that this notice + * is preserved. + * ==================================================== + */ + +/* From e_hypotl.c -- long double version of e_hypot.c. + * Conversion to long double by Jakub Jelinek, jakub@redhat.com. + * Conversion to __float128 by FX Coudert, fxcoudert@gcc.gnu.org. + */ + +/* hypotq(x,y) + * + * Method : + * If (assume round-to-nearest) z=x*x+y*y + * has error less than sqrtl(2)/2 ulp, than + * sqrtl(z) has error less than 1 ulp (exercise). + * + * So, compute sqrtl(x*x+y*y) with some care as + * follows to get the error below 1 ulp: + * + * Assume x>y>0; + * (if possible, set rounding to round-to-nearest) + * 1. if x > 2y use + * x1*x1+(y*y+(x2*(x+x1))) for x*x+y*y + * where x1 = x with lower 64 bits cleared, x2 = x-x1; else + * 2. if x <= 2y use + * t1*y1+((x-y)*(x-y)+(t1*y2+t2*y)) + * where t1 = 2x with lower 64 bits cleared, t2 = 2x-t1, + * y1= y with lower 64 bits chopped, y2 = y-y1. + * + * NOTE: scaling may be necessary if some argument is too + * large or too tiny + * + * Special cases: + * hypotq(x,y) is INF if x or y is +INF or -INF; else + * hypotq(x,y) is NAN if x or y is NAN. + * + * Accuracy: + * hypotq(x,y) returns sqrtl(x^2+y^2) with error less + * than 1 ulps (units in the last place) + */ + +#include "quadmath-imp.h" + +__float128 +hypotq (__float128 x, __float128 y) +{ + __float128 a, b, t1, t2, y1, y2, w; + int64_t j, k, ha, hb; + + GET_FLT128_MSW64(ha,x); + ha &= 0x7fffffffffffffffLL; + GET_FLT128_MSW64(hb,y); + hb &= 0x7fffffffffffffffLL; + if(hb > ha) {a=y;b=x;j=ha; ha=hb;hb=j;} else {a=x;b=y;} + SET_FLT128_MSW64(a,ha); /* a <- |a| */ + SET_FLT128_MSW64(b,hb); /* b <- |b| */ + if((ha-hb)>0x78000000000000LL) {return a+b;} /* x/y > 2**120 */ + k=0; + if(ha > 0x5f3f000000000000LL) { /* a>2**8000 */ + if(ha >= 0x7fff000000000000LL) { /* Inf or NaN */ + uint64_t low; + w = a+b; /* for sNaN */ + GET_FLT128_LSW64(low,a); + if(((ha&0xffffffffffffLL)|low)==0) w = a; + GET_FLT128_LSW64(low,b); + if(((hb^0x7fff000000000000LL)|low)==0) w = b; + return w; + } + /* scale a and b by 2**-9600 */ + ha -= 0x2580000000000000LL; + hb -= 0x2580000000000000LL; k += 9600; + SET_FLT128_MSW64(a,ha); + SET_FLT128_MSW64(b,hb); + } + if(hb < 0x20bf000000000000LL) { /* b < 2**-8000 */ + if(hb <= 0x0000ffffffffffffLL) { /* subnormal b or 0 */ + uint64_t low; + GET_FLT128_LSW64(low,b); + if((hb|low)==0) return a; + t1=0; + SET_FLT128_MSW64(t1,0x7ffd000000000000LL); /* t1=2^16382 */ + b *= t1; + a *= t1; + k -= 16382; + } else { /* scale a and b by 2^9600 */ + ha += 0x2580000000000000LL; /* a *= 2^9600 */ + hb += 0x2580000000000000LL; /* b *= 2^9600 */ + k -= 9600; + SET_FLT128_MSW64(a,ha); + SET_FLT128_MSW64(b,hb); + } + } + /* medium size a and b */ + w = a-b; + if (w>b) { + t1 = 0; + SET_FLT128_MSW64(t1,ha); + t2 = a-t1; + w = sqrtq(t1*t1-(b*(-b)-t2*(a+t1))); + } else { + a = a+a; + y1 = 0; + SET_FLT128_MSW64(y1,hb); + y2 = b - y1; + t1 = 0; + SET_FLT128_MSW64(t1,ha+0x0001000000000000LL); + t2 = a - t1; + w = sqrtq(t1*y1-(w*(-w)-(t1*y2+t2*b))); + } + if(k!=0) { + uint64_t high; + t1 = 1.0Q; + GET_FLT128_MSW64(high,t1); + SET_FLT128_MSW64(t1,high+(k<<48)); + return t1*w; + } else return w; +} diff --git a/libquadmath/math/ilogbq.c b/libquadmath/math/ilogbq.c new file mode 100644 index 000000000..47986f5b3 --- /dev/null +++ b/libquadmath/math/ilogbq.c @@ -0,0 +1,64 @@ +/* s_ilogbl.c -- long double version of s_ilogb.c. + * Conversion to IEEE quad long double by Jakub Jelinek, jj@ultra.linux.cz. + */ + +/* + * ==================================================== + * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. + * + * Developed at SunPro, a Sun Microsystems, Inc. business. + * Permission to use, copy, modify, and distribute this + * software is freely granted, provided that this notice + * is preserved. + * ==================================================== + */ + +#if defined(LIBM_SCCS) && !defined(lint) +static char rcsid[] = "$NetBSD: $"; +#endif + +/* ilogbl(long double x) + * return the binary exponent of non-zero x + * ilogbl(0) = FP_ILOGB0 + * ilogbl(NaN) = FP_ILOGBNAN (no signal is raised) + * ilogbl(+-Inf) = INT_MAX (no signal is raised) + */ + +#include <limits.h> +#include <math.h> +#include "quadmath-imp.h" + +#ifndef FP_ILOGB0 +# define FP_ILOGB0 INT_MIN +#endif +#ifndef FP_ILOGBNAN +# define FP_ILOGBNAN INT_MAX +#endif + +int +ilogbq (__float128 x) +{ + int64_t hx,lx; + int ix; + + GET_FLT128_WORDS64(hx,lx,x); + hx &= 0x7fffffffffffffffLL; + if(hx <= 0x0001000000000000LL) { + if((hx|lx)==0) + return FP_ILOGB0; /* ilogbl(0) = FP_ILOGB0 */ + else /* subnormal x */ + if(hx==0) { + for (ix = -16431; lx>0; lx<<=1) ix -=1; + } else { + for (ix = -16382, hx<<=15; hx>0; hx<<=1) ix -=1; + } + return ix; + } + else if (hx<0x7fff000000000000LL) return (hx>>48)-0x3fff; + else if (FP_ILOGBNAN != INT_MAX) { + /* ISO C99 requires ilogbl(+-Inf) == INT_MAX. */ + if (((hx^0x7fff000000000000LL)|lx) == 0) + return INT_MAX; + } + return FP_ILOGBNAN; +} diff --git a/libquadmath/math/isinfq.c b/libquadmath/math/isinfq.c new file mode 100644 index 000000000..46996b54c --- /dev/null +++ b/libquadmath/math/isinfq.c @@ -0,0 +1,17 @@ +/* + * Written by J.T. Conklin <jtc@netbsd.org>. + * Change for long double by Jakub Jelinek <jj@ultra.linux.cz> + * Public domain. + */ + +#include "quadmath-imp.h" + +int +isinfq (__float128 x) +{ + int64_t hx,lx; + GET_FLT128_WORDS64(hx,lx,x); + lx |= (hx & 0x7fffffffffffffffLL) ^ 0x7fff000000000000LL; + lx |= -lx; + return ~(lx >> 63) & (hx >> 62); +} diff --git a/libquadmath/math/isnanq.c b/libquadmath/math/isnanq.c new file mode 100644 index 000000000..ab9df1658 --- /dev/null +++ b/libquadmath/math/isnanq.c @@ -0,0 +1,27 @@ +/* s_isnanl.c -- long double version of s_isnan.c. + * Conversion to long double by Jakub Jelinek, jj@ultra.linux.cz. + */ + +/* + * ==================================================== + * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. + * + * Developed at SunPro, a Sun Microsystems, Inc. business. + * Permission to use, copy, modify, and distribute this + * software is freely granted, provided that this notice + * is preserved. + * ==================================================== + */ + +#include "quadmath-imp.h" + +int +isnanq (const __float128 x) +{ + int64_t hx,lx; + GET_FLT128_WORDS64(hx,lx,x); + hx &= 0x7fffffffffffffffLL; + hx |= (uint64_t)(lx|(-lx))>>63; + hx = 0x7fff000000000000LL - hx; + return (int)((uint64_t)hx>>63); +} diff --git a/libquadmath/math/j0q.c b/libquadmath/math/j0q.c new file mode 100644 index 000000000..fecbe6277 --- /dev/null +++ b/libquadmath/math/j0q.c @@ -0,0 +1,919 @@ +/* j0l.c + * + * Bessel function of order zero + * + * + * + * SYNOPSIS: + * + * long double x, y, j0l(); + * + * y = j0l( x ); + * + * + * + * DESCRIPTION: + * + * Returns Bessel function of first kind, order zero of the argument. + * + * The domain is divided into two major intervals [0, 2] and + * (2, infinity). In the first interval the rational approximation + * is J0(x) = 1 - x^2 / 4 + x^4 R(x^2) + * The second interval is further partitioned into eight equal segments + * of 1/x. + * + * J0(x) = sqrt(2/(pi x)) (P0(x) cos(X) - Q0(x) sin(X)), + * X = x - pi/4, + * + * and the auxiliary functions are given by + * + * J0(x)cos(X) + Y0(x)sin(X) = sqrt( 2/(pi x)) P0(x), + * P0(x) = 1 + 1/x^2 R(1/x^2) + * + * Y0(x)cos(X) - J0(x)sin(X) = sqrt( 2/(pi x)) Q0(x), + * Q0(x) = 1/x (-.125 + 1/x^2 R(1/x^2)) + * + * + * + * ACCURACY: + * + * Absolute error: + * arithmetic domain # trials peak rms + * IEEE 0, 30 100000 1.7e-34 2.4e-35 + * + * + */ + +/* y0l.c + * + * Bessel function of the second kind, order zero + * + * + * + * SYNOPSIS: + * + * double x, y, y0l(); + * + * y = y0l( x ); + * + * + * + * DESCRIPTION: + * + * Returns Bessel function of the second kind, of order + * zero, of the argument. + * + * The approximation is the same as for J0(x), and + * Y0(x) = sqrt(2/(pi x)) (P0(x) sin(X) + Q0(x) cos(X)). + * + * ACCURACY: + * + * Absolute error, when y0(x) < 1; else relative error: + * + * arithmetic domain # trials peak rms + * IEEE 0, 30 100000 3.0e-34 2.7e-35 + * + */ + +/* Copyright 2001 by Stephen L. Moshier (moshier@na-net.ornl.gov). + + This library is free software; you can redistribute it and/or + modify it under the terms of the GNU Lesser General Public + License as published by the Free Software Foundation; either + version 2.1 of the License, or (at your option) any later version. + + This library is distributed in the hope that it will be useful, + but WITHOUT ANY WARRANTY; without even the implied warranty of + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + Lesser General Public License for more details. + + You should have received a copy of the GNU Lesser General Public + License along with this library; if not, write to the Free Software + Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA */ + +#include "quadmath-imp.h" + +/* 1 / sqrt(pi) */ +static const __float128 ONEOSQPI = 5.6418958354775628694807945156077258584405E-1Q; +/* 2 / pi */ +static const __float128 TWOOPI = 6.3661977236758134307553505349005744813784E-1Q; +static const __float128 zero = 0.0Q; + +/* J0(x) = 1 - x^2/4 + x^2 x^2 R(x^2) + Peak relative error 3.4e-37 + 0 <= x <= 2 */ +#define NJ0_2N 6 +static const __float128 J0_2N[NJ0_2N + 1] = { + 3.133239376997663645548490085151484674892E16Q, + -5.479944965767990821079467311839107722107E14Q, + 6.290828903904724265980249871997551894090E12Q, + -3.633750176832769659849028554429106299915E10Q, + 1.207743757532429576399485415069244807022E8Q, + -2.107485999925074577174305650549367415465E5Q, + 1.562826808020631846245296572935547005859E2Q, +}; +#define NJ0_2D 6 +static const __float128 J0_2D[NJ0_2D + 1] = { + 2.005273201278504733151033654496928968261E18Q, + 2.063038558793221244373123294054149790864E16Q, + 1.053350447931127971406896594022010524994E14Q, + 3.496556557558702583143527876385508882310E11Q, + 8.249114511878616075860654484367133976306E8Q, + 1.402965782449571800199759247964242790589E6Q, + 1.619910762853439600957801751815074787351E3Q, + /* 1.000000000000000000000000000000000000000E0 */ +}; + +/* J0(x)cosX + Y0(x)sinX = sqrt( 2/(pi x)) P0(x), P0(x) = 1 + 1/x^2 R(1/x^2), + 0 <= 1/x <= .0625 + Peak relative error 3.3e-36 */ +#define NP16_IN 9 +static const __float128 P16_IN[NP16_IN + 1] = { + -1.901689868258117463979611259731176301065E-16Q, + -1.798743043824071514483008340803573980931E-13Q, + -6.481746687115262291873324132944647438959E-11Q, + -1.150651553745409037257197798528294248012E-8Q, + -1.088408467297401082271185599507222695995E-6Q, + -5.551996725183495852661022587879817546508E-5Q, + -1.477286941214245433866838787454880214736E-3Q, + -1.882877976157714592017345347609200402472E-2Q, + -9.620983176855405325086530374317855880515E-2Q, + -1.271468546258855781530458854476627766233E-1Q, +}; +#define NP16_ID 9 +static const __float128 P16_ID[NP16_ID + 1] = { + 2.704625590411544837659891569420764475007E-15Q, + 2.562526347676857624104306349421985403573E-12Q, + 9.259137589952741054108665570122085036246E-10Q, + 1.651044705794378365237454962653430805272E-7Q, + 1.573561544138733044977714063100859136660E-5Q, + 8.134482112334882274688298469629884804056E-4Q, + 2.219259239404080863919375103673593571689E-2Q, + 2.976990606226596289580242451096393862792E-1Q, + 1.713895630454693931742734911930937246254E0Q, + 3.231552290717904041465898249160757368855E0Q, + /* 1.000000000000000000000000000000000000000E0 */ +}; + +/* J0(x)cosX + Y0(x)sinX = sqrt( 2/(pi x)) P0(x), P0(x) = 1 + 1/x^2 R(1/x^2) + 0.0625 <= 1/x <= 0.125 + Peak relative error 2.4e-35 */ +#define NP8_16N 10 +static const __float128 P8_16N[NP8_16N + 1] = { + -2.335166846111159458466553806683579003632E-15Q, + -1.382763674252402720401020004169367089975E-12Q, + -3.192160804534716696058987967592784857907E-10Q, + -3.744199606283752333686144670572632116899E-8Q, + -2.439161236879511162078619292571922772224E-6Q, + -9.068436986859420951664151060267045346549E-5Q, + -1.905407090637058116299757292660002697359E-3Q, + -2.164456143936718388053842376884252978872E-2Q, + -1.212178415116411222341491717748696499966E-1Q, + -2.782433626588541494473277445959593334494E-1Q, + -1.670703190068873186016102289227646035035E-1Q, +}; +#define NP8_16D 10 +static const __float128 P8_16D[NP8_16D + 1] = { + 3.321126181135871232648331450082662856743E-14Q, + 1.971894594837650840586859228510007703641E-11Q, + 4.571144364787008285981633719513897281690E-9Q, + 5.396419143536287457142904742849052402103E-7Q, + 3.551548222385845912370226756036899901549E-5Q, + 1.342353874566932014705609788054598013516E-3Q, + 2.899133293006771317589357444614157734385E-2Q, + 3.455374978185770197704507681491574261545E-1Q, + 2.116616964297512311314454834712634820514E0Q, + 5.850768316827915470087758636881584174432E0Q, + 5.655273858938766830855753983631132928968E0Q, + /* 1.000000000000000000000000000000000000000E0 */ +}; + +/* J0(x)cosX + Y0(x)sinX = sqrt( 2/(pi x)) P0(x), P0(x) = 1 + 1/x^2 R(1/x^2) + 0.125 <= 1/x <= 0.1875 + Peak relative error 2.7e-35 */ +#define NP5_8N 10 +static const __float128 P5_8N[NP5_8N + 1] = { + -1.270478335089770355749591358934012019596E-12Q, + -4.007588712145412921057254992155810347245E-10Q, + -4.815187822989597568124520080486652009281E-8Q, + -2.867070063972764880024598300408284868021E-6Q, + -9.218742195161302204046454768106063638006E-5Q, + -1.635746821447052827526320629828043529997E-3Q, + -1.570376886640308408247709616497261011707E-2Q, + -7.656484795303305596941813361786219477807E-2Q, + -1.659371030767513274944805479908858628053E-1Q, + -1.185340550030955660015841796219919804915E-1Q, + -8.920026499909994671248893388013790366712E-3Q, +}; +#define NP5_8D 9 +static const __float128 P5_8D[NP5_8D + 1] = { + 1.806902521016705225778045904631543990314E-11Q, + 5.728502760243502431663549179135868966031E-9Q, + 6.938168504826004255287618819550667978450E-7Q, + 4.183769964807453250763325026573037785902E-5Q, + 1.372660678476925468014882230851637878587E-3Q, + 2.516452105242920335873286419212708961771E-2Q, + 2.550502712902647803796267951846557316182E-1Q, + 1.365861559418983216913629123778747617072E0Q, + 3.523825618308783966723472468855042541407E0Q, + 3.656365803506136165615111349150536282434E0Q, + /* 1.000000000000000000000000000000000000000E0 */ +}; + +/* J0(x)cosX + Y0(x)sinX = sqrt( 2/(pi x)) P0(x), P0(x) = 1 + 1/x^2 R(1/x^2) + Peak relative error 3.5e-35 + 0.1875 <= 1/x <= 0.25 */ +#define NP4_5N 9 +static const __float128 P4_5N[NP4_5N + 1] = { + -9.791405771694098960254468859195175708252E-10Q, + -1.917193059944531970421626610188102836352E-7Q, + -1.393597539508855262243816152893982002084E-5Q, + -4.881863490846771259880606911667479860077E-4Q, + -8.946571245022470127331892085881699269853E-3Q, + -8.707474232568097513415336886103899434251E-2Q, + -4.362042697474650737898551272505525973766E-1Q, + -1.032712171267523975431451359962375617386E0Q, + -9.630502683169895107062182070514713702346E-1Q, + -2.251804386252969656586810309252357233320E-1Q, +}; +#define NP4_5D 9 +static const __float128 P4_5D[NP4_5D + 1] = { + 1.392555487577717669739688337895791213139E-8Q, + 2.748886559120659027172816051276451376854E-6Q, + 2.024717710644378047477189849678576659290E-4Q, + 7.244868609350416002930624752604670292469E-3Q, + 1.373631762292244371102989739300382152416E-1Q, + 1.412298581400224267910294815260613240668E0Q, + 7.742495637843445079276397723849017617210E0Q, + 2.138429269198406512028307045259503811861E1Q, + 2.651547684548423476506826951831712762610E1Q, + 1.167499382465291931571685222882909166935E1Q, + /* 1.000000000000000000000000000000000000000E0 */ +}; + +/* J0(x)cosX + Y0(x)sinX = sqrt( 2/(pi x)) P0(x), P0(x) = 1 + 1/x^2 R(1/x^2) + Peak relative error 2.3e-36 + 0.25 <= 1/x <= 0.3125 */ +#define NP3r2_4N 9 +static const __float128 P3r2_4N[NP3r2_4N + 1] = { + -2.589155123706348361249809342508270121788E-8Q, + -3.746254369796115441118148490849195516593E-6Q, + -1.985595497390808544622893738135529701062E-4Q, + -5.008253705202932091290132760394976551426E-3Q, + -6.529469780539591572179155511840853077232E-2Q, + -4.468736064761814602927408833818990271514E-1Q, + -1.556391252586395038089729428444444823380E0Q, + -2.533135309840530224072920725976994981638E0Q, + -1.605509621731068453869408718565392869560E0Q, + -2.518966692256192789269859830255724429375E-1Q, +}; +#define NP3r2_4D 9 +static const __float128 P3r2_4D[NP3r2_4D + 1] = { + 3.682353957237979993646169732962573930237E-7Q, + 5.386741661883067824698973455566332102029E-5Q, + 2.906881154171822780345134853794241037053E-3Q, + 7.545832595801289519475806339863492074126E-2Q, + 1.029405357245594877344360389469584526654E0Q, + 7.565706120589873131187989560509757626725E0Q, + 2.951172890699569545357692207898667665796E1Q, + 5.785723537170311456298467310529815457536E1Q, + 5.095621464598267889126015412522773474467E1Q, + 1.602958484169953109437547474953308401442E1Q, + /* 1.000000000000000000000000000000000000000E0 */ +}; + +/* J0(x)cosX + Y0(x)sinX = sqrt( 2/(pi x)) P0(x), P0(x) = 1 + 1/x^2 R(1/x^2) + Peak relative error 1.0e-35 + 0.3125 <= 1/x <= 0.375 */ +#define NP2r7_3r2N 9 +static const __float128 P2r7_3r2N[NP2r7_3r2N + 1] = { + -1.917322340814391131073820537027234322550E-7Q, + -1.966595744473227183846019639723259011906E-5Q, + -7.177081163619679403212623526632690465290E-4Q, + -1.206467373860974695661544653741899755695E-2Q, + -1.008656452188539812154551482286328107316E-1Q, + -4.216016116408810856620947307438823892707E-1Q, + -8.378631013025721741744285026537009814161E-1Q, + -6.973895635309960850033762745957946272579E-1Q, + -1.797864718878320770670740413285763554812E-1Q, + -4.098025357743657347681137871388402849581E-3Q, +}; +#define NP2r7_3r2D 8 +static const __float128 P2r7_3r2D[NP2r7_3r2D + 1] = { + 2.726858489303036441686496086962545034018E-6Q, + 2.840430827557109238386808968234848081424E-4Q, + 1.063826772041781947891481054529454088832E-2Q, + 1.864775537138364773178044431045514405468E-1Q, + 1.665660052857205170440952607701728254211E0Q, + 7.723745889544331153080842168958348568395E0Q, + 1.810726427571829798856428548102077799835E1Q, + 1.986460672157794440666187503833545388527E1Q, + 8.645503204552282306364296517220055815488E0Q, + /* 1.000000000000000000000000000000000000000E0 */ +}; + +/* J0(x)cosX + Y0(x)sinX = sqrt( 2/(pi x)) P0(x), P0(x) = 1 + 1/x^2 R(1/x^2) + Peak relative error 1.3e-36 + 0.3125 <= 1/x <= 0.4375 */ +#define NP2r3_2r7N 9 +static const __float128 P2r3_2r7N[NP2r3_2r7N + 1] = { + -1.594642785584856746358609622003310312622E-6Q, + -1.323238196302221554194031733595194539794E-4Q, + -3.856087818696874802689922536987100372345E-3Q, + -5.113241710697777193011470733601522047399E-2Q, + -3.334229537209911914449990372942022350558E-1Q, + -1.075703518198127096179198549659283422832E0Q, + -1.634174803414062725476343124267110981807E0Q, + -1.030133247434119595616826842367268304880E0Q, + -1.989811539080358501229347481000707289391E-1Q, + -3.246859189246653459359775001466924610236E-3Q, +}; +#define NP2r3_2r7D 8 +static const __float128 P2r3_2r7D[NP2r3_2r7D + 1] = { + 2.267936634217251403663034189684284173018E-5Q, + 1.918112982168673386858072491437971732237E-3Q, + 5.771704085468423159125856786653868219522E-2Q, + 8.056124451167969333717642810661498890507E-1Q, + 5.687897967531010276788680634413789328776E0Q, + 2.072596760717695491085444438270778394421E1Q, + 3.801722099819929988585197088613160496684E1Q, + 3.254620235902912339534998592085115836829E1Q, + 1.104847772130720331801884344645060675036E1Q, + /* 1.000000000000000000000000000000000000000E0 */ +}; + +/* J0(x)cosX + Y0(x)sinX = sqrt( 2/(pi x)) P0(x), P0(x) = 1 + 1/x^2 R(1/x^2) + Peak relative error 1.2e-35 + 0.4375 <= 1/x <= 0.5 */ +#define NP2_2r3N 8 +static const __float128 P2_2r3N[NP2_2r3N + 1] = { + -1.001042324337684297465071506097365389123E-4Q, + -6.289034524673365824853547252689991418981E-3Q, + -1.346527918018624234373664526930736205806E-1Q, + -1.268808313614288355444506172560463315102E0Q, + -5.654126123607146048354132115649177406163E0Q, + -1.186649511267312652171775803270911971693E1Q, + -1.094032424931998612551588246779200724257E1Q, + -3.728792136814520055025256353193674625267E0Q, + -3.000348318524471807839934764596331810608E-1Q, +}; +#define NP2_2r3D 8 +static const __float128 P2_2r3D[NP2_2r3D + 1] = { + 1.423705538269770974803901422532055612980E-3Q, + 9.171476630091439978533535167485230575894E-2Q, + 2.049776318166637248868444600215942828537E0Q, + 2.068970329743769804547326701946144899583E1Q, + 1.025103500560831035592731539565060347709E2Q, + 2.528088049697570728252145557167066708284E2Q, + 2.992160327587558573740271294804830114205E2Q, + 1.540193761146551025832707739468679973036E2Q, + 2.779516701986912132637672140709452502650E1Q, + /* 1.000000000000000000000000000000000000000E0 */ +}; + +/* Y0(x)cosX - J0(x)sinX = sqrt( 2/(pi x)) Q0(x), + Q0(x) = 1/x (-.125 + 1/x^2 R(1/x^2)) + Peak relative error 2.2e-35 + 0 <= 1/x <= .0625 */ +#define NQ16_IN 10 +static const __float128 Q16_IN[NQ16_IN + 1] = { + 2.343640834407975740545326632205999437469E-18Q, + 2.667978112927811452221176781536278257448E-15Q, + 1.178415018484555397390098879501969116536E-12Q, + 2.622049767502719728905924701288614016597E-10Q, + 3.196908059607618864801313380896308968673E-8Q, + 2.179466154171673958770030655199434798494E-6Q, + 8.139959091628545225221976413795645177291E-5Q, + 1.563900725721039825236927137885747138654E-3Q, + 1.355172364265825167113562519307194840307E-2Q, + 3.928058355906967977269780046844768588532E-2Q, + 1.107891967702173292405380993183694932208E-2Q, +}; +#define NQ16_ID 9 +static const __float128 Q16_ID[NQ16_ID + 1] = { + 3.199850952578356211091219295199301766718E-17Q, + 3.652601488020654842194486058637953363918E-14Q, + 1.620179741394865258354608590461839031281E-11Q, + 3.629359209474609630056463248923684371426E-9Q, + 4.473680923894354600193264347733477363305E-7Q, + 3.106368086644715743265603656011050476736E-5Q, + 1.198239259946770604954664925153424252622E-3Q, + 2.446041004004283102372887804475767568272E-2Q, + 2.403235525011860603014707768815113698768E-1Q, + 9.491006790682158612266270665136910927149E-1Q, + /* 1.000000000000000000000000000000000000000E0 */ + }; + +/* Y0(x)cosX - J0(x)sinX = sqrt( 2/(pi x)) Q0(x), + Q0(x) = 1/x (-.125 + 1/x^2 R(1/x^2)) + Peak relative error 5.1e-36 + 0.0625 <= 1/x <= 0.125 */ +#define NQ8_16N 11 +static const __float128 Q8_16N[NQ8_16N + 1] = { + 1.001954266485599464105669390693597125904E-17Q, + 7.545499865295034556206475956620160007849E-15Q, + 2.267838684785673931024792538193202559922E-12Q, + 3.561909705814420373609574999542459912419E-10Q, + 3.216201422768092505214730633842924944671E-8Q, + 1.731194793857907454569364622452058554314E-6Q, + 5.576944613034537050396518509871004586039E-5Q, + 1.051787760316848982655967052985391418146E-3Q, + 1.102852974036687441600678598019883746959E-2Q, + 5.834647019292460494254225988766702933571E-2Q, + 1.290281921604364618912425380717127576529E-1Q, + 7.598886310387075708640370806458926458301E-2Q, +}; +#define NQ8_16D 11 +static const __float128 Q8_16D[NQ8_16D + 1] = { + 1.368001558508338469503329967729951830843E-16Q, + 1.034454121857542147020549303317348297289E-13Q, + 3.128109209247090744354764050629381674436E-11Q, + 4.957795214328501986562102573522064468671E-9Q, + 4.537872468606711261992676606899273588899E-7Q, + 2.493639207101727713192687060517509774182E-5Q, + 8.294957278145328349785532236663051405805E-4Q, + 1.646471258966713577374948205279380115839E-2Q, + 1.878910092770966718491814497982191447073E-1Q, + 1.152641605706170353727903052525652504075E0Q, + 3.383550240669773485412333679367792932235E0Q, + 3.823875252882035706910024716609908473970E0Q, + /* 1.000000000000000000000000000000000000000E0 */ +}; + +/* Y0(x)cosX - J0(x)sinX = sqrt( 2/(pi x)) Q0(x), + Q0(x) = 1/x (-.125 + 1/x^2 R(1/x^2)) + Peak relative error 3.9e-35 + 0.125 <= 1/x <= 0.1875 */ +#define NQ5_8N 10 +static const __float128 Q5_8N[NQ5_8N + 1] = { + 1.750399094021293722243426623211733898747E-13Q, + 6.483426211748008735242909236490115050294E-11Q, + 9.279430665656575457141747875716899958373E-9Q, + 6.696634968526907231258534757736576340266E-7Q, + 2.666560823798895649685231292142838188061E-5Q, + 6.025087697259436271271562769707550594540E-4Q, + 7.652807734168613251901945778921336353485E-3Q, + 5.226269002589406461622551452343519078905E-2Q, + 1.748390159751117658969324896330142895079E-1Q, + 2.378188719097006494782174902213083589660E-1Q, + 8.383984859679804095463699702165659216831E-2Q, +}; +#define NQ5_8D 10 +static const __float128 Q5_8D[NQ5_8D + 1] = { + 2.389878229704327939008104855942987615715E-12Q, + 8.926142817142546018703814194987786425099E-10Q, + 1.294065862406745901206588525833274399038E-7Q, + 9.524139899457666250828752185212769682191E-6Q, + 3.908332488377770886091936221573123353489E-4Q, + 9.250427033957236609624199884089916836748E-3Q, + 1.263420066165922645975830877751588421451E-1Q, + 9.692527053860420229711317379861733180654E-1Q, + 3.937813834630430172221329298841520707954E0Q, + 7.603126427436356534498908111445191312181E0Q, + 5.670677653334105479259958485084550934305E0Q, + /* 1.000000000000000000000000000000000000000E0 */ +}; + +/* Y0(x)cosX - J0(x)sinX = sqrt( 2/(pi x)) Q0(x), + Q0(x) = 1/x (-.125 + 1/x^2 R(1/x^2)) + Peak relative error 3.2e-35 + 0.1875 <= 1/x <= 0.25 */ +#define NQ4_5N 10 +static const __float128 Q4_5N[NQ4_5N + 1] = { + 2.233870042925895644234072357400122854086E-11Q, + 5.146223225761993222808463878999151699792E-9Q, + 4.459114531468296461688753521109797474523E-7Q, + 1.891397692931537975547242165291668056276E-5Q, + 4.279519145911541776938964806470674565504E-4Q, + 5.275239415656560634702073291768904783989E-3Q, + 3.468698403240744801278238473898432608887E-2Q, + 1.138773146337708415188856882915457888274E-1Q, + 1.622717518946443013587108598334636458955E-1Q, + 7.249040006390586123760992346453034628227E-2Q, + 1.941595365256460232175236758506411486667E-3Q, +}; +#define NQ4_5D 9 +static const __float128 Q4_5D[NQ4_5D + 1] = { + 3.049977232266999249626430127217988047453E-10Q, + 7.120883230531035857746096928889676144099E-8Q, + 6.301786064753734446784637919554359588859E-6Q, + 2.762010530095069598480766869426308077192E-4Q, + 6.572163250572867859316828886203406361251E-3Q, + 8.752566114841221958200215255461843397776E-2Q, + 6.487654992874805093499285311075289932664E-1Q, + 2.576550017826654579451615283022812801435E0Q, + 5.056392229924022835364779562707348096036E0Q, + 4.179770081068251464907531367859072157773E0Q, + /* 1.000000000000000000000000000000000000000E0 */ +}; + +/* Y0(x)cosX - J0(x)sinX = sqrt( 2/(pi x)) Q0(x), + Q0(x) = 1/x (-.125 + 1/x^2 R(1/x^2)) + Peak relative error 1.4e-36 + 0.25 <= 1/x <= 0.3125 */ +#define NQ3r2_4N 10 +static const __float128 Q3r2_4N[NQ3r2_4N + 1] = { + 6.126167301024815034423262653066023684411E-10Q, + 1.043969327113173261820028225053598975128E-7Q, + 6.592927270288697027757438170153763220190E-6Q, + 2.009103660938497963095652951912071336730E-4Q, + 3.220543385492643525985862356352195896964E-3Q, + 2.774405975730545157543417650436941650990E-2Q, + 1.258114008023826384487378016636555041129E-1Q, + 2.811724258266902502344701449984698323860E-1Q, + 2.691837665193548059322831687432415014067E-1Q, + 7.949087384900985370683770525312735605034E-2Q, + 1.229509543620976530030153018986910810747E-3Q, +}; +#define NQ3r2_4D 9 +static const __float128 Q3r2_4D[NQ3r2_4D + 1] = { + 8.364260446128475461539941389210166156568E-9Q, + 1.451301850638956578622154585560759862764E-6Q, + 9.431830010924603664244578867057141839463E-5Q, + 3.004105101667433434196388593004526182741E-3Q, + 5.148157397848271739710011717102773780221E-2Q, + 4.901089301726939576055285374953887874895E-1Q, + 2.581760991981709901216967665934142240346E0Q, + 7.257105880775059281391729708630912791847E0Q, + 1.006014717326362868007913423810737369312E1Q, + 5.879416600465399514404064187445293212470E0Q, + /* 1.000000000000000000000000000000000000000E0*/ +}; + +/* Y0(x)cosX - J0(x)sinX = sqrt( 2/(pi x)) Q0(x), + Q0(x) = 1/x (-.125 + 1/x^2 R(1/x^2)) + Peak relative error 3.8e-36 + 0.3125 <= 1/x <= 0.375 */ +#define NQ2r7_3r2N 9 +static const __float128 Q2r7_3r2N[NQ2r7_3r2N + 1] = { + 7.584861620402450302063691901886141875454E-8Q, + 9.300939338814216296064659459966041794591E-6Q, + 4.112108906197521696032158235392604947895E-4Q, + 8.515168851578898791897038357239630654431E-3Q, + 8.971286321017307400142720556749573229058E-2Q, + 4.885856732902956303343015636331874194498E-1Q, + 1.334506268733103291656253500506406045846E0Q, + 1.681207956863028164179042145803851824654E0Q, + 8.165042692571721959157677701625853772271E-1Q, + 9.805848115375053300608712721986235900715E-2Q, +}; +#define NQ2r7_3r2D 9 +static const __float128 Q2r7_3r2D[NQ2r7_3r2D + 1] = { + 1.035586492113036586458163971239438078160E-6Q, + 1.301999337731768381683593636500979713689E-4Q, + 5.993695702564527062553071126719088859654E-3Q, + 1.321184892887881883489141186815457808785E-1Q, + 1.528766555485015021144963194165165083312E0Q, + 9.561463309176490874525827051566494939295E0Q, + 3.203719484883967351729513662089163356911E1Q, + 5.497294687660930446641539152123568668447E1Q, + 4.391158169390578768508675452986948391118E1Q, + 1.347836630730048077907818943625789418378E1Q, + /* 1.000000000000000000000000000000000000000E0 */ +}; + +/* Y0(x)cosX - J0(x)sinX = sqrt( 2/(pi x)) Q0(x), + Q0(x) = 1/x (-.125 + 1/x^2 R(1/x^2)) + Peak relative error 2.2e-35 + 0.375 <= 1/x <= 0.4375 */ +#define NQ2r3_2r7N 9 +static const __float128 Q2r3_2r7N[NQ2r3_2r7N + 1] = { + 4.455027774980750211349941766420190722088E-7Q, + 4.031998274578520170631601850866780366466E-5Q, + 1.273987274325947007856695677491340636339E-3Q, + 1.818754543377448509897226554179659122873E-2Q, + 1.266748858326568264126353051352269875352E-1Q, + 4.327578594728723821137731555139472880414E-1Q, + 6.892532471436503074928194969154192615359E-1Q, + 4.490775818438716873422163588640262036506E-1Q, + 8.649615949297322440032000346117031581572E-2Q, + 7.261345286655345047417257611469066147561E-4Q, +}; +#define NQ2r3_2r7D 8 +static const __float128 Q2r3_2r7D[NQ2r3_2r7D + 1] = { + 6.082600739680555266312417978064954793142E-6Q, + 5.693622538165494742945717226571441747567E-4Q, + 1.901625907009092204458328768129666975975E-2Q, + 2.958689532697857335456896889409923371570E-1Q, + 2.343124711045660081603809437993368799568E0Q, + 9.665894032187458293568704885528192804376E0Q, + 2.035273104990617136065743426322454881353E1Q, + 2.044102010478792896815088858740075165531E1Q, + 8.445937177863155827844146643468706599304E0Q, + /* 1.000000000000000000000000000000000000000E0 */ +}; + +/* Y0(x)cosX - J0(x)sinX = sqrt( 2/(pi x)) Q0(x), + Q0(x) = 1/x (-.125 + 1/x^2 R(1/x^2)) + Peak relative error 3.1e-36 + 0.4375 <= 1/x <= 0.5 */ +#define NQ2_2r3N 9 +static const __float128 Q2_2r3N[NQ2_2r3N + 1] = { + 2.817566786579768804844367382809101929314E-6Q, + 2.122772176396691634147024348373539744935E-4Q, + 5.501378031780457828919593905395747517585E-3Q, + 6.355374424341762686099147452020466524659E-2Q, + 3.539652320122661637429658698954748337223E-1Q, + 9.571721066119617436343740541777014319695E-1Q, + 1.196258777828426399432550698612171955305E0Q, + 6.069388659458926158392384709893753793967E-1Q, + 9.026746127269713176512359976978248763621E-2Q, + 5.317668723070450235320878117210807236375E-4Q, +}; +#define NQ2_2r3D 8 +static const __float128 Q2_2r3D[NQ2_2r3D + 1] = { + 3.846924354014260866793741072933159380158E-5Q, + 3.017562820057704325510067178327449946763E-3Q, + 8.356305620686867949798885808540444210935E-2Q, + 1.068314930499906838814019619594424586273E0Q, + 6.900279623894821067017966573640732685233E0Q, + 2.307667390886377924509090271780839563141E1Q, + 3.921043465412723970791036825401273528513E1Q, + 3.167569478939719383241775717095729233436E1Q, + 1.051023841699200920276198346301543665909E1Q, + /* 1.000000000000000000000000000000000000000E0*/ +}; + + +/* Evaluate P[n] x^n + P[n-1] x^(n-1) + ... + P[0] */ + +static __float128 +neval (__float128 x, const __float128 *p, int n) +{ + __float128 y; + + p += n; + y = *p--; + do + { + y = y * x + *p--; + } + while (--n > 0); + return y; +} + + +/* Evaluate x^n+1 + P[n] x^(n) + P[n-1] x^(n-1) + ... + P[0] */ + +static __float128 +deval (__float128 x, const __float128 *p, int n) +{ + __float128 y; + + p += n; + y = x + *p--; + do + { + y = y * x + *p--; + } + while (--n > 0); + return y; +} + + +/* Bessel function of the first kind, order zero. */ + +__float128 +j0q (__float128 x) +{ + __float128 xx, xinv, z, p, q, c, s, cc, ss; + + if (! finiteq (x)) + { + if (x != x) + return x; + else + return 0.0Q; + } + if (x == 0.0Q) + return 1.0Q; + + xx = fabsq (x); + if (xx <= 2.0Q) + { + /* 0 <= x <= 2 */ + z = xx * xx; + p = z * z * neval (z, J0_2N, NJ0_2N) / deval (z, J0_2D, NJ0_2D); + p -= 0.25Q * z; + p += 1.0Q; + return p; + } + + xinv = 1.0Q / xx; + z = xinv * xinv; + if (xinv <= 0.25) + { + if (xinv <= 0.125) + { + if (xinv <= 0.0625) + { + p = neval (z, P16_IN, NP16_IN) / deval (z, P16_ID, NP16_ID); + q = neval (z, Q16_IN, NQ16_IN) / deval (z, Q16_ID, NQ16_ID); + } + else + { + p = neval (z, P8_16N, NP8_16N) / deval (z, P8_16D, NP8_16D); + q = neval (z, Q8_16N, NQ8_16N) / deval (z, Q8_16D, NQ8_16D); + } + } + else if (xinv <= 0.1875) + { + p = neval (z, P5_8N, NP5_8N) / deval (z, P5_8D, NP5_8D); + q = neval (z, Q5_8N, NQ5_8N) / deval (z, Q5_8D, NQ5_8D); + } + else + { + p = neval (z, P4_5N, NP4_5N) / deval (z, P4_5D, NP4_5D); + q = neval (z, Q4_5N, NQ4_5N) / deval (z, Q4_5D, NQ4_5D); + } + } /* .25 */ + else /* if (xinv <= 0.5) */ + { + if (xinv <= 0.375) + { + if (xinv <= 0.3125) + { + p = neval (z, P3r2_4N, NP3r2_4N) / deval (z, P3r2_4D, NP3r2_4D); + q = neval (z, Q3r2_4N, NQ3r2_4N) / deval (z, Q3r2_4D, NQ3r2_4D); + } + else + { + p = neval (z, P2r7_3r2N, NP2r7_3r2N) + / deval (z, P2r7_3r2D, NP2r7_3r2D); + q = neval (z, Q2r7_3r2N, NQ2r7_3r2N) + / deval (z, Q2r7_3r2D, NQ2r7_3r2D); + } + } + else if (xinv <= 0.4375) + { + p = neval (z, P2r3_2r7N, NP2r3_2r7N) + / deval (z, P2r3_2r7D, NP2r3_2r7D); + q = neval (z, Q2r3_2r7N, NQ2r3_2r7N) + / deval (z, Q2r3_2r7D, NQ2r3_2r7D); + } + else + { + p = neval (z, P2_2r3N, NP2_2r3N) / deval (z, P2_2r3D, NP2_2r3D); + q = neval (z, Q2_2r3N, NQ2_2r3N) / deval (z, Q2_2r3D, NQ2_2r3D); + } + } + p = 1.0Q + z * p; + q = z * xinv * q; + q = q - 0.125Q * xinv; + /* X = x - pi/4 + cos(X) = cos(x) cos(pi/4) + sin(x) sin(pi/4) + = 1/sqrt(2) * (cos(x) + sin(x)) + sin(X) = sin(x) cos(pi/4) - cos(x) sin(pi/4) + = 1/sqrt(2) * (sin(x) - cos(x)) + sin(x) +- cos(x) = -cos(2x)/(sin(x) -+ cos(x)) + cf. Fdlibm. */ + sincosq (xx, &s, &c); + ss = s - c; + cc = s + c; + z = - cosq (xx + xx); + if ((s * c) < 0) + cc = z / ss; + else + ss = z / cc; + z = ONEOSQPI * (p * cc - q * ss) / sqrtq (xx); + return z; +} + + +/* Y0(x) = 2/pi * log(x) * J0(x) + R(x^2) + Peak absolute error 1.7e-36 (relative where Y0 > 1) + 0 <= x <= 2 */ +#define NY0_2N 7 +static __float128 Y0_2N[NY0_2N + 1] = { + -1.062023609591350692692296993537002558155E19Q, + 2.542000883190248639104127452714966858866E19Q, + -1.984190771278515324281415820316054696545E18Q, + 4.982586044371592942465373274440222033891E16Q, + -5.529326354780295177243773419090123407550E14Q, + 3.013431465522152289279088265336861140391E12Q, + -7.959436160727126750732203098982718347785E9Q, + 8.230845651379566339707130644134372793322E6Q, +}; +#define NY0_2D 7 +static __float128 Y0_2D[NY0_2D + 1] = { + 1.438972634353286978700329883122253752192E20Q, + 1.856409101981569254247700169486907405500E18Q, + 1.219693352678218589553725579802986255614E16Q, + 5.389428943282838648918475915779958097958E13Q, + 1.774125762108874864433872173544743051653E11Q, + 4.522104832545149534808218252434693007036E8Q, + 8.872187401232943927082914504125234454930E5Q, + 1.251945613186787532055610876304669413955E3Q, + /* 1.000000000000000000000000000000000000000E0 */ +}; + + +/* Bessel function of the second kind, order zero. */ + +__float128 +y0q (__float128 x) +{ + __float128 xx, xinv, z, p, q, c, s, cc, ss; + + if (! finiteq (x)) + { + if (x != x) + return x; + else + return 0.0Q; + } + if (x <= 0.0Q) + { + if (x < 0.0Q) + return (zero / (zero * x)); + return -HUGE_VALQ + x; + } + xx = fabsq (x); + if (xx <= 2.0Q) + { + /* 0 <= x <= 2 */ + z = xx * xx; + p = neval (z, Y0_2N, NY0_2N) / deval (z, Y0_2D, NY0_2D); + p = TWOOPI * logq (x) * j0q (x) + p; + return p; + } + + xinv = 1.0Q / xx; + z = xinv * xinv; + if (xinv <= 0.25) + { + if (xinv <= 0.125) + { + if (xinv <= 0.0625) + { + p = neval (z, P16_IN, NP16_IN) / deval (z, P16_ID, NP16_ID); + q = neval (z, Q16_IN, NQ16_IN) / deval (z, Q16_ID, NQ16_ID); + } + else + { + p = neval (z, P8_16N, NP8_16N) / deval (z, P8_16D, NP8_16D); + q = neval (z, Q8_16N, NQ8_16N) / deval (z, Q8_16D, NQ8_16D); + } + } + else if (xinv <= 0.1875) + { + p = neval (z, P5_8N, NP5_8N) / deval (z, P5_8D, NP5_8D); + q = neval (z, Q5_8N, NQ5_8N) / deval (z, Q5_8D, NQ5_8D); + } + else + { + p = neval (z, P4_5N, NP4_5N) / deval (z, P4_5D, NP4_5D); + q = neval (z, Q4_5N, NQ4_5N) / deval (z, Q4_5D, NQ4_5D); + } + } /* .25 */ + else /* if (xinv <= 0.5) */ + { + if (xinv <= 0.375) + { + if (xinv <= 0.3125) + { + p = neval (z, P3r2_4N, NP3r2_4N) / deval (z, P3r2_4D, NP3r2_4D); + q = neval (z, Q3r2_4N, NQ3r2_4N) / deval (z, Q3r2_4D, NQ3r2_4D); + } + else + { + p = neval (z, P2r7_3r2N, NP2r7_3r2N) + / deval (z, P2r7_3r2D, NP2r7_3r2D); + q = neval (z, Q2r7_3r2N, NQ2r7_3r2N) + / deval (z, Q2r7_3r2D, NQ2r7_3r2D); + } + } + else if (xinv <= 0.4375) + { + p = neval (z, P2r3_2r7N, NP2r3_2r7N) + / deval (z, P2r3_2r7D, NP2r3_2r7D); + q = neval (z, Q2r3_2r7N, NQ2r3_2r7N) + / deval (z, Q2r3_2r7D, NQ2r3_2r7D); + } + else + { + p = neval (z, P2_2r3N, NP2_2r3N) / deval (z, P2_2r3D, NP2_2r3D); + q = neval (z, Q2_2r3N, NQ2_2r3N) / deval (z, Q2_2r3D, NQ2_2r3D); + } + } + p = 1.0Q + z * p; + q = z * xinv * q; + q = q - 0.125Q * xinv; + /* X = x - pi/4 + cos(X) = cos(x) cos(pi/4) + sin(x) sin(pi/4) + = 1/sqrt(2) * (cos(x) + sin(x)) + sin(X) = sin(x) cos(pi/4) - cos(x) sin(pi/4) + = 1/sqrt(2) * (sin(x) - cos(x)) + sin(x) +- cos(x) = -cos(2x)/(sin(x) -+ cos(x)) + cf. Fdlibm. */ + sincosq (x, &s, &c); + ss = s - c; + cc = s + c; + z = - cosq (x + x); + if ((s * c) < 0) + cc = z / ss; + else + ss = z / cc; + z = ONEOSQPI * (p * ss + q * cc) / sqrtq (x); + return z; +} diff --git a/libquadmath/math/j1q.c b/libquadmath/math/j1q.c new file mode 100644 index 000000000..f6bf2a256 --- /dev/null +++ b/libquadmath/math/j1q.c @@ -0,0 +1,926 @@ +/* j1l.c + * + * Bessel function of order one + * + * + * + * SYNOPSIS: + * + * long double x, y, j1l(); + * + * y = j1l( x ); + * + * + * + * DESCRIPTION: + * + * Returns Bessel function of first kind, order one of the argument. + * + * The domain is divided into two major intervals [0, 2] and + * (2, infinity). In the first interval the rational approximation is + * J1(x) = .5x + x x^2 R(x^2) + * + * The second interval is further partitioned into eight equal segments + * of 1/x. + * J1(x) = sqrt(2/(pi x)) (P1(x) cos(X) - Q1(x) sin(X)), + * X = x - 3 pi / 4, + * + * and the auxiliary functions are given by + * + * J1(x)cos(X) + Y1(x)sin(X) = sqrt( 2/(pi x)) P1(x), + * P1(x) = 1 + 1/x^2 R(1/x^2) + * + * Y1(x)cos(X) - J1(x)sin(X) = sqrt( 2/(pi x)) Q1(x), + * Q1(x) = 1/x (.375 + 1/x^2 R(1/x^2)). + * + * + * + * ACCURACY: + * + * Absolute error: + * arithmetic domain # trials peak rms + * IEEE 0, 30 100000 2.8e-34 2.7e-35 + * + * + */ + +/* y1l.c + * + * Bessel function of the second kind, order one + * + * + * + * SYNOPSIS: + * + * double x, y, y1l(); + * + * y = y1l( x ); + * + * + * + * DESCRIPTION: + * + * Returns Bessel function of the second kind, of order + * one, of the argument. + * + * The domain is divided into two major intervals [0, 2] and + * (2, infinity). In the first interval the rational approximation is + * Y1(x) = 2/pi * (log(x) * J1(x) - 1/x) + x R(x^2) . + * In the second interval the approximation is the same as for J1(x), and + * Y1(x) = sqrt(2/(pi x)) (P1(x) sin(X) + Q1(x) cos(X)), + * X = x - 3 pi / 4. + * + * ACCURACY: + * + * Absolute error, when y0(x) < 1; else relative error: + * + * arithmetic domain # trials peak rms + * IEEE 0, 30 100000 2.7e-34 2.9e-35 + * + */ + +/* Copyright 2001 by Stephen L. Moshier (moshier@na-net.onrl.gov). + + This library is free software; you can redistribute it and/or + modify it under the terms of the GNU Lesser General Public + License as published by the Free Software Foundation; either + version 2.1 of the License, or (at your option) any later version. + + This library is distributed in the hope that it will be useful, + but WITHOUT ANY WARRANTY; without even the implied warranty of + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + Lesser General Public License for more details. + + You should have received a copy of the GNU Lesser General Public + License along with this library; if not, write to the Free Software + Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA */ + +#include "quadmath-imp.h" + +/* 1 / sqrt(pi) */ +static const __float128 ONEOSQPI = 5.6418958354775628694807945156077258584405E-1Q; +/* 2 / pi */ +static const __float128 TWOOPI = 6.3661977236758134307553505349005744813784E-1Q; +static const __float128 zero = 0.0Q; + +/* J1(x) = .5x + x x^2 R(x^2) + Peak relative error 1.9e-35 + 0 <= x <= 2 */ +#define NJ0_2N 6 +static const __float128 J0_2N[NJ0_2N + 1] = { + -5.943799577386942855938508697619735179660E16Q, + 1.812087021305009192259946997014044074711E15Q, + -2.761698314264509665075127515729146460895E13Q, + 2.091089497823600978949389109350658815972E11Q, + -8.546413231387036372945453565654130054307E8Q, + 1.797229225249742247475464052741320612261E6Q, + -1.559552840946694171346552770008812083969E3Q +}; +#define NJ0_2D 6 +static const __float128 J0_2D[NJ0_2D + 1] = { + 9.510079323819108569501613916191477479397E17Q, + 1.063193817503280529676423936545854693915E16Q, + 5.934143516050192600795972192791775226920E13Q, + 2.168000911950620999091479265214368352883E11Q, + 5.673775894803172808323058205986256928794E8Q, + 1.080329960080981204840966206372671147224E6Q, + 1.411951256636576283942477881535283304912E3Q, + /* 1.000000000000000000000000000000000000000E0Q */ +}; + +/* J1(x)cosX + Y1(x)sinX = sqrt( 2/(pi x)) P1(x), P1(x) = 1 + 1/x^2 R(1/x^2), + 0 <= 1/x <= .0625 + Peak relative error 3.6e-36 */ +#define NP16_IN 9 +static const __float128 P16_IN[NP16_IN + 1] = { + 5.143674369359646114999545149085139822905E-16Q, + 4.836645664124562546056389268546233577376E-13Q, + 1.730945562285804805325011561498453013673E-10Q, + 3.047976856147077889834905908605310585810E-8Q, + 2.855227609107969710407464739188141162386E-6Q, + 1.439362407936705484122143713643023998457E-4Q, + 3.774489768532936551500999699815873422073E-3Q, + 4.723962172984642566142399678920790598426E-2Q, + 2.359289678988743939925017240478818248735E-1Q, + 3.032580002220628812728954785118117124520E-1Q, +}; +#define NP16_ID 9 +static const __float128 P16_ID[NP16_ID + 1] = { + 4.389268795186898018132945193912677177553E-15Q, + 4.132671824807454334388868363256830961655E-12Q, + 1.482133328179508835835963635130894413136E-9Q, + 2.618941412861122118906353737117067376236E-7Q, + 2.467854246740858470815714426201888034270E-5Q, + 1.257192927368839847825938545925340230490E-3Q, + 3.362739031941574274949719324644120720341E-2Q, + 4.384458231338934105875343439265370178858E-1Q, + 2.412830809841095249170909628197264854651E0Q, + 4.176078204111348059102962617368214856874E0Q, + /* 1.000000000000000000000000000000000000000E0 */ +}; + +/* J1(x)cosX + Y1(x)sinX = sqrt( 2/(pi x)) P1(x), P1(x) = 1 + 1/x^2 R(1/x^2), + 0.0625 <= 1/x <= 0.125 + Peak relative error 1.9e-36 */ +#define NP8_16N 11 +static const __float128 P8_16N[NP8_16N + 1] = { + 2.984612480763362345647303274082071598135E-16Q, + 1.923651877544126103941232173085475682334E-13Q, + 4.881258879388869396043760693256024307743E-11Q, + 6.368866572475045408480898921866869811889E-9Q, + 4.684818344104910450523906967821090796737E-7Q, + 2.005177298271593587095982211091300382796E-5Q, + 4.979808067163957634120681477207147536182E-4Q, + 6.946005761642579085284689047091173581127E-3Q, + 5.074601112955765012750207555985299026204E-2Q, + 1.698599455896180893191766195194231825379E-1Q, + 1.957536905259237627737222775573623779638E-1Q, + 2.991314703282528370270179989044994319374E-2Q, +}; +#define NP8_16D 10 +static const __float128 P8_16D[NP8_16D + 1] = { + 2.546869316918069202079580939942463010937E-15Q, + 1.644650111942455804019788382157745229955E-12Q, + 4.185430770291694079925607420808011147173E-10Q, + 5.485331966975218025368698195861074143153E-8Q, + 4.062884421686912042335466327098932678905E-6Q, + 1.758139661060905948870523641319556816772E-4Q, + 4.445143889306356207566032244985607493096E-3Q, + 6.391901016293512632765621532571159071158E-2Q, + 4.933040207519900471177016015718145795434E-1Q, + 1.839144086168947712971630337250761842976E0Q, + 2.715120873995490920415616716916149586579E0Q, + /* 1.000000000000000000000000000000000000000E0 */ +}; + +/* J1(x)cosX + Y1(x)sinX = sqrt( 2/(pi x)) P1(x), P1(x) = 1 + 1/x^2 R(1/x^2), + 0.125 <= 1/x <= 0.1875 + Peak relative error 1.3e-36 */ +#define NP5_8N 10 +static const __float128 P5_8N[NP5_8N + 1] = { + 2.837678373978003452653763806968237227234E-12Q, + 9.726641165590364928442128579282742354806E-10Q, + 1.284408003604131382028112171490633956539E-7Q, + 8.524624695868291291250573339272194285008E-6Q, + 3.111516908953172249853673787748841282846E-4Q, + 6.423175156126364104172801983096596409176E-3Q, + 7.430220589989104581004416356260692450652E-2Q, + 4.608315409833682489016656279567605536619E-1Q, + 1.396870223510964882676225042258855977512E0Q, + 1.718500293904122365894630460672081526236E0Q, + 5.465927698800862172307352821870223855365E-1Q +}; +#define NP5_8D 10 +static const __float128 P5_8D[NP5_8D + 1] = { + 2.421485545794616609951168511612060482715E-11Q, + 8.329862750896452929030058039752327232310E-9Q, + 1.106137992233383429630592081375289010720E-6Q, + 7.405786153760681090127497796448503306939E-5Q, + 2.740364785433195322492093333127633465227E-3Q, + 5.781246470403095224872243564165254652198E-2Q, + 6.927711353039742469918754111511109983546E-1Q, + 4.558679283460430281188304515922826156690E0Q, + 1.534468499844879487013168065728837900009E1Q, + 2.313927430889218597919624843161569422745E1Q, + 1.194506341319498844336768473218382828637E1Q, + /* 1.000000000000000000000000000000000000000E0 */ +}; + +/* J1(x)cosX + Y1(x)sinX = sqrt( 2/(pi x)) P1(x), P1(x) = 1 + 1/x^2 R(1/x^2), + Peak relative error 1.4e-36 + 0.1875 <= 1/x <= 0.25 */ +#define NP4_5N 10 +static const __float128 P4_5N[NP4_5N + 1] = { + 1.846029078268368685834261260420933914621E-10Q, + 3.916295939611376119377869680335444207768E-8Q, + 3.122158792018920627984597530935323997312E-6Q, + 1.218073444893078303994045653603392272450E-4Q, + 2.536420827983485448140477159977981844883E-3Q, + 2.883011322006690823959367922241169171315E-2Q, + 1.755255190734902907438042414495469810830E-1Q, + 5.379317079922628599870898285488723736599E-1Q, + 7.284904050194300773890303361501726561938E-1Q, + 3.270110346613085348094396323925000362813E-1Q, + 1.804473805689725610052078464951722064757E-2Q, +}; +#define NP4_5D 9 +static const __float128 P4_5D[NP4_5D + 1] = { + 1.575278146806816970152174364308980863569E-9Q, + 3.361289173657099516191331123405675054321E-7Q, + 2.704692281550877810424745289838790693708E-5Q, + 1.070854930483999749316546199273521063543E-3Q, + 2.282373093495295842598097265627962125411E-2Q, + 2.692025460665354148328762368240343249830E-1Q, + 1.739892942593664447220951225734811133759E0Q, + 5.890727576752230385342377570386657229324E0Q, + 9.517442287057841500750256954117735128153E0Q, + 6.100616353935338240775363403030137736013E0Q, + /* 1.000000000000000000000000000000000000000E0 */ +}; + +/* J1(x)cosX + Y1(x)sinX = sqrt( 2/(pi x)) P1(x), P1(x) = 1 + 1/x^2 R(1/x^2), + Peak relative error 3.0e-36 + 0.25 <= 1/x <= 0.3125 */ +#define NP3r2_4N 9 +static const __float128 P3r2_4N[NP3r2_4N + 1] = { + 8.240803130988044478595580300846665863782E-8Q, + 1.179418958381961224222969866406483744580E-5Q, + 6.179787320956386624336959112503824397755E-4Q, + 1.540270833608687596420595830747166658383E-2Q, + 1.983904219491512618376375619598837355076E-1Q, + 1.341465722692038870390470651608301155565E0Q, + 4.617865326696612898792238245990854646057E0Q, + 7.435574801812346424460233180412308000587E0Q, + 4.671327027414635292514599201278557680420E0Q, + 7.299530852495776936690976966995187714739E-1Q, +}; +#define NP3r2_4D 9 +static const __float128 P3r2_4D[NP3r2_4D + 1] = { + 7.032152009675729604487575753279187576521E-7Q, + 1.015090352324577615777511269928856742848E-4Q, + 5.394262184808448484302067955186308730620E-3Q, + 1.375291438480256110455809354836988584325E-1Q, + 1.836247144461106304788160919310404376670E0Q, + 1.314378564254376655001094503090935880349E1Q, + 4.957184590465712006934452500894672343488E1Q, + 9.287394244300647738855415178790263465398E1Q, + 7.652563275535900609085229286020552768399E1Q, + 2.147042473003074533150718117770093209096E1Q, + /* 1.000000000000000000000000000000000000000E0 */ +}; + +/* J1(x)cosX + Y1(x)sinX = sqrt( 2/(pi x)) P1(x), P1(x) = 1 + 1/x^2 R(1/x^2), + Peak relative error 1.0e-35 + 0.3125 <= 1/x <= 0.375 */ +#define NP2r7_3r2N 9 +static const __float128 P2r7_3r2N[NP2r7_3r2N + 1] = { + 4.599033469240421554219816935160627085991E-7Q, + 4.665724440345003914596647144630893997284E-5Q, + 1.684348845667764271596142716944374892756E-3Q, + 2.802446446884455707845985913454440176223E-2Q, + 2.321937586453963310008279956042545173930E-1Q, + 9.640277413988055668692438709376437553804E-1Q, + 1.911021064710270904508663334033003246028E0Q, + 1.600811610164341450262992138893970224971E0Q, + 4.266299218652587901171386591543457861138E-1Q, + 1.316470424456061252962568223251247207325E-2Q, +}; +#define NP2r7_3r2D 8 +static const __float128 P2r7_3r2D[NP2r7_3r2D + 1] = { + 3.924508608545520758883457108453520099610E-6Q, + 4.029707889408829273226495756222078039823E-4Q, + 1.484629715787703260797886463307469600219E-2Q, + 2.553136379967180865331706538897231588685E-1Q, + 2.229457223891676394409880026887106228740E0Q, + 1.005708903856384091956550845198392117318E1Q, + 2.277082659664386953166629360352385889558E1Q, + 2.384726835193630788249826630376533988245E1Q, + 9.700989749041320895890113781610939632410E0Q, + /* 1.000000000000000000000000000000000000000E0 */ +}; + +/* J1(x)cosX + Y1(x)sinX = sqrt( 2/(pi x)) P1(x), P1(x) = 1 + 1/x^2 R(1/x^2), + Peak relative error 1.7e-36 + 0.3125 <= 1/x <= 0.4375 */ +#define NP2r3_2r7N 9 +static const __float128 P2r3_2r7N[NP2r3_2r7N + 1] = { + 3.916766777108274628543759603786857387402E-6Q, + 3.212176636756546217390661984304645137013E-4Q, + 9.255768488524816445220126081207248947118E-3Q, + 1.214853146369078277453080641911700735354E-1Q, + 7.855163309847214136198449861311404633665E-1Q, + 2.520058073282978403655488662066019816540E0Q, + 3.825136484837545257209234285382183711466E0Q, + 2.432569427554248006229715163865569506873E0Q, + 4.877934835018231178495030117729800489743E-1Q, + 1.109902737860249670981355149101343427885E-2Q, +}; +#define NP2r3_2r7D 8 +static const __float128 P2r3_2r7D[NP2r3_2r7D + 1] = { + 3.342307880794065640312646341190547184461E-5Q, + 2.782182891138893201544978009012096558265E-3Q, + 8.221304931614200702142049236141249929207E-2Q, + 1.123728246291165812392918571987858010949E0Q, + 7.740482453652715577233858317133423434590E0Q, + 2.737624677567945952953322566311201919139E1Q, + 4.837181477096062403118304137851260715475E1Q, + 3.941098643468580791437772701093795299274E1Q, + 1.245821247166544627558323920382547533630E1Q, + /* 1.000000000000000000000000000000000000000E0 */ +}; + +/* J1(x)cosX + Y1(x)sinX = sqrt( 2/(pi x)) P1(x), P1(x) = 1 + 1/x^2 R(1/x^2), + Peak relative error 1.7e-35 + 0.4375 <= 1/x <= 0.5 */ +#define NP2_2r3N 8 +static const __float128 P2_2r3N[NP2_2r3N + 1] = { + 3.397930802851248553545191160608731940751E-4Q, + 2.104020902735482418784312825637833698217E-2Q, + 4.442291771608095963935342749477836181939E-1Q, + 4.131797328716583282869183304291833754967E0Q, + 1.819920169779026500146134832455189917589E1Q, + 3.781779616522937565300309684282401791291E1Q, + 3.459605449728864218972931220783543410347E1Q, + 1.173594248397603882049066603238568316561E1Q, + 9.455702270242780642835086549285560316461E-1Q, +}; +#define NP2_2r3D 8 +static const __float128 P2_2r3D[NP2_2r3D + 1] = { + 2.899568897241432883079888249845707400614E-3Q, + 1.831107138190848460767699919531132426356E-1Q, + 3.999350044057883839080258832758908825165E0Q, + 3.929041535867957938340569419874195303712E1Q, + 1.884245613422523323068802689915538908291E2Q, + 4.461469948819229734353852978424629815929E2Q, + 5.004998753999796821224085972610636347903E2Q, + 2.386342520092608513170837883757163414100E2Q, + 3.791322528149347975999851588922424189957E1Q, + /* 1.000000000000000000000000000000000000000E0 */ +}; + +/* Y1(x)cosX - J1(x)sinX = sqrt( 2/(pi x)) Q1(x), + Q1(x) = 1/x (.375 + 1/x^2 R(1/x^2)), + Peak relative error 8.0e-36 + 0 <= 1/x <= .0625 */ +#define NQ16_IN 10 +static const __float128 Q16_IN[NQ16_IN + 1] = { + -3.917420835712508001321875734030357393421E-18Q, + -4.440311387483014485304387406538069930457E-15Q, + -1.951635424076926487780929645954007139616E-12Q, + -4.318256438421012555040546775651612810513E-10Q, + -5.231244131926180765270446557146989238020E-8Q, + -3.540072702902043752460711989234732357653E-6Q, + -1.311017536555269966928228052917534882984E-4Q, + -2.495184669674631806622008769674827575088E-3Q, + -2.141868222987209028118086708697998506716E-2Q, + -6.184031415202148901863605871197272650090E-2Q, + -1.922298704033332356899546792898156493887E-2Q, +}; +#define NQ16_ID 9 +static const __float128 Q16_ID[NQ16_ID + 1] = { + 3.820418034066293517479619763498400162314E-17Q, + 4.340702810799239909648911373329149354911E-14Q, + 1.914985356383416140706179933075303538524E-11Q, + 4.262333682610888819476498617261895474330E-9Q, + 5.213481314722233980346462747902942182792E-7Q, + 3.585741697694069399299005316809954590558E-5Q, + 1.366513429642842006385029778105539457546E-3Q, + 2.745282599850704662726337474371355160594E-2Q, + 2.637644521611867647651200098449903330074E-1Q, + 1.006953426110765984590782655598680488746E0Q, + /* 1.000000000000000000000000000000000000000E0 */ + }; + +/* Y1(x)cosX - J1(x)sinX = sqrt( 2/(pi x)) Q1(x), + Q1(x) = 1/x (.375 + 1/x^2 R(1/x^2)), + Peak relative error 1.9e-36 + 0.0625 <= 1/x <= 0.125 */ +#define NQ8_16N 11 +static const __float128 Q8_16N[NQ8_16N + 1] = { + -2.028630366670228670781362543615221542291E-17Q, + -1.519634620380959966438130374006858864624E-14Q, + -4.540596528116104986388796594639405114524E-12Q, + -7.085151756671466559280490913558388648274E-10Q, + -6.351062671323970823761883833531546885452E-8Q, + -3.390817171111032905297982523519503522491E-6Q, + -1.082340897018886970282138836861233213972E-4Q, + -2.020120801187226444822977006648252379508E-3Q, + -2.093169910981725694937457070649605557555E-2Q, + -1.092176538874275712359269481414448063393E-1Q, + -2.374790947854765809203590474789108718733E-1Q, + -1.365364204556573800719985118029601401323E-1Q, +}; +#define NQ8_16D 11 +static const __float128 Q8_16D[NQ8_16D + 1] = { + 1.978397614733632533581207058069628242280E-16Q, + 1.487361156806202736877009608336766720560E-13Q, + 4.468041406888412086042576067133365913456E-11Q, + 7.027822074821007443672290507210594648877E-9Q, + 6.375740580686101224127290062867976007374E-7Q, + 3.466887658320002225888644977076410421940E-5Q, + 1.138625640905289601186353909213719596986E-3Q, + 2.224470799470414663443449818235008486439E-2Q, + 2.487052928527244907490589787691478482358E-1Q, + 1.483927406564349124649083853892380899217E0Q, + 4.182773513276056975777258788903489507705E0Q, + 4.419665392573449746043880892524360870944E0Q, + /* 1.000000000000000000000000000000000000000E0 */ +}; + +/* Y1(x)cosX - J1(x)sinX = sqrt( 2/(pi x)) Q1(x), + Q1(x) = 1/x (.375 + 1/x^2 R(1/x^2)), + Peak relative error 1.5e-35 + 0.125 <= 1/x <= 0.1875 */ +#define NQ5_8N 10 +static const __float128 Q5_8N[NQ5_8N + 1] = { + -3.656082407740970534915918390488336879763E-13Q, + -1.344660308497244804752334556734121771023E-10Q, + -1.909765035234071738548629788698150760791E-8Q, + -1.366668038160120210269389551283666716453E-6Q, + -5.392327355984269366895210704976314135683E-5Q, + -1.206268245713024564674432357634540343884E-3Q, + -1.515456784370354374066417703736088291287E-2Q, + -1.022454301137286306933217746545237098518E-1Q, + -3.373438906472495080504907858424251082240E-1Q, + -4.510782522110845697262323973549178453405E-1Q, + -1.549000892545288676809660828213589804884E-1Q, +}; +#define NQ5_8D 10 +static const __float128 Q5_8D[NQ5_8D + 1] = { + 3.565550843359501079050699598913828460036E-12Q, + 1.321016015556560621591847454285330528045E-9Q, + 1.897542728662346479999969679234270605975E-7Q, + 1.381720283068706710298734234287456219474E-5Q, + 5.599248147286524662305325795203422873725E-4Q, + 1.305442352653121436697064782499122164843E-2Q, + 1.750234079626943298160445750078631894985E-1Q, + 1.311420542073436520965439883806946678491E0Q, + 5.162757689856842406744504211089724926650E0Q, + 9.527760296384704425618556332087850581308E0Q, + 6.604648207463236667912921642545100248584E0Q, + /* 1.000000000000000000000000000000000000000E0 */ +}; + +/* Y1(x)cosX - J1(x)sinX = sqrt( 2/(pi x)) Q1(x), + Q1(x) = 1/x (.375 + 1/x^2 R(1/x^2)), + Peak relative error 1.3e-35 + 0.1875 <= 1/x <= 0.25 */ +#define NQ4_5N 10 +static const __float128 Q4_5N[NQ4_5N + 1] = { + -4.079513568708891749424783046520200903755E-11Q, + -9.326548104106791766891812583019664893311E-9Q, + -8.016795121318423066292906123815687003356E-7Q, + -3.372350544043594415609295225664186750995E-5Q, + -7.566238665947967882207277686375417983917E-4Q, + -9.248861580055565402130441618521591282617E-3Q, + -6.033106131055851432267702948850231270338E-2Q, + -1.966908754799996793730369265431584303447E-1Q, + -2.791062741179964150755788226623462207560E-1Q, + -1.255478605849190549914610121863534191666E-1Q, + -4.320429862021265463213168186061696944062E-3Q, +}; +#define NQ4_5D 9 +static const __float128 Q4_5D[NQ4_5D + 1] = { + 3.978497042580921479003851216297330701056E-10Q, + 9.203304163828145809278568906420772246666E-8Q, + 8.059685467088175644915010485174545743798E-6Q, + 3.490187375993956409171098277561669167446E-4Q, + 8.189109654456872150100501732073810028829E-3Q, + 1.072572867311023640958725265762483033769E-1Q, + 7.790606862409960053675717185714576937994E-1Q, + 3.016049768232011196434185423512777656328E0Q, + 5.722963851442769787733717162314477949360E0Q, + 4.510527838428473279647251350931380867663E0Q, + /* 1.000000000000000000000000000000000000000E0 */ +}; + +/* Y1(x)cosX - J1(x)sinX = sqrt( 2/(pi x)) Q1(x), + Q1(x) = 1/x (.375 + 1/x^2 R(1/x^2)), + Peak relative error 2.1e-35 + 0.25 <= 1/x <= 0.3125 */ +#define NQ3r2_4N 9 +static const __float128 Q3r2_4N[NQ3r2_4N + 1] = { + -1.087480809271383885936921889040388133627E-8Q, + -1.690067828697463740906962973479310170932E-6Q, + -9.608064416995105532790745641974762550982E-5Q, + -2.594198839156517191858208513873961837410E-3Q, + -3.610954144421543968160459863048062977822E-2Q, + -2.629866798251843212210482269563961685666E-1Q, + -9.709186825881775885917984975685752956660E-1Q, + -1.667521829918185121727268867619982417317E0Q, + -1.109255082925540057138766105229900943501E0Q, + -1.812932453006641348145049323713469043328E-1Q, +}; +#define NQ3r2_4D 9 +static const __float128 Q3r2_4D[NQ3r2_4D + 1] = { + 1.060552717496912381388763753841473407026E-7Q, + 1.676928002024920520786883649102388708024E-5Q, + 9.803481712245420839301400601140812255737E-4Q, + 2.765559874262309494758505158089249012930E-2Q, + 4.117921827792571791298862613287549140706E-1Q, + 3.323769515244751267093378361930279161413E0Q, + 1.436602494405814164724810151689705353670E1Q, + 3.163087869617098638064881410646782408297E1Q, + 3.198181264977021649489103980298349589419E1Q, + 1.203649258862068431199471076202897823272E1Q, + /* 1.000000000000000000000000000000000000000E0 */ +}; + +/* Y1(x)cosX - J1(x)sinX = sqrt( 2/(pi x)) Q1(x), + Q1(x) = 1/x (.375 + 1/x^2 R(1/x^2)), + Peak relative error 1.6e-36 + 0.3125 <= 1/x <= 0.375 */ +#define NQ2r7_3r2N 9 +static const __float128 Q2r7_3r2N[NQ2r7_3r2N + 1] = { + -1.723405393982209853244278760171643219530E-7Q, + -2.090508758514655456365709712333460087442E-5Q, + -9.140104013370974823232873472192719263019E-4Q, + -1.871349499990714843332742160292474780128E-2Q, + -1.948930738119938669637865956162512983416E-1Q, + -1.048764684978978127908439526343174139788E0Q, + -2.827714929925679500237476105843643064698E0Q, + -3.508761569156476114276988181329773987314E0Q, + -1.669332202790211090973255098624488308989E0Q, + -1.930796319299022954013840684651016077770E-1Q, +}; +#define NQ2r7_3r2D 9 +static const __float128 Q2r7_3r2D[NQ2r7_3r2D + 1] = { + 1.680730662300831976234547482334347983474E-6Q, + 2.084241442440551016475972218719621841120E-4Q, + 9.445316642108367479043541702688736295579E-3Q, + 2.044637889456631896650179477133252184672E-1Q, + 2.316091982244297350829522534435350078205E0Q, + 1.412031891783015085196708811890448488865E1Q, + 4.583830154673223384837091077279595496149E1Q, + 7.549520609270909439885998474045974122261E1Q, + 5.697605832808113367197494052388203310638E1Q, + 1.601496240876192444526383314589371686234E1Q, + /* 1.000000000000000000000000000000000000000E0 */ +}; + +/* Y1(x)cosX - J1(x)sinX = sqrt( 2/(pi x)) Q1(x), + Q1(x) = 1/x (.375 + 1/x^2 R(1/x^2)), + Peak relative error 9.5e-36 + 0.375 <= 1/x <= 0.4375 */ +#define NQ2r3_2r7N 9 +static const __float128 Q2r3_2r7N[NQ2r3_2r7N + 1] = { + -8.603042076329122085722385914954878953775E-7Q, + -7.701746260451647874214968882605186675720E-5Q, + -2.407932004380727587382493696877569654271E-3Q, + -3.403434217607634279028110636919987224188E-2Q, + -2.348707332185238159192422084985713102877E-1Q, + -7.957498841538254916147095255700637463207E-1Q, + -1.258469078442635106431098063707934348577E0Q, + -8.162415474676345812459353639449971369890E-1Q, + -1.581783890269379690141513949609572806898E-1Q, + -1.890595651683552228232308756569450822905E-3Q, +}; +#define NQ2r3_2r7D 8 +static const __float128 Q2r3_2r7D[NQ2r3_2r7D + 1] = { + 8.390017524798316921170710533381568175665E-6Q, + 7.738148683730826286477254659973968763659E-4Q, + 2.541480810958665794368759558791634341779E-2Q, + 3.878879789711276799058486068562386244873E-1Q, + 3.003783779325811292142957336802456109333E0Q, + 1.206480374773322029883039064575464497400E1Q, + 2.458414064785315978408974662900438351782E1Q, + 2.367237826273668567199042088835448715228E1Q, + 9.231451197519171090875569102116321676763E0Q, + /* 1.000000000000000000000000000000000000000E0 */ +}; + +/* Y1(x)cosX - J1(x)sinX = sqrt( 2/(pi x)) Q1(x), + Q1(x) = 1/x (.375 + 1/x^2 R(1/x^2)), + Peak relative error 1.4e-36 + 0.4375 <= 1/x <= 0.5 */ +#define NQ2_2r3N 9 +static const __float128 Q2_2r3N[NQ2_2r3N + 1] = { + -5.552507516089087822166822364590806076174E-6Q, + -4.135067659799500521040944087433752970297E-4Q, + -1.059928728869218962607068840646564457980E-2Q, + -1.212070036005832342565792241385459023801E-1Q, + -6.688350110633603958684302153362735625156E-1Q, + -1.793587878197360221340277951304429821582E0Q, + -2.225407682237197485644647380483725045326E0Q, + -1.123402135458940189438898496348239744403E0Q, + -1.679187241566347077204805190763597299805E-1Q, + -1.458550613639093752909985189067233504148E-3Q, +}; +#define NQ2_2r3D 8 +static const __float128 Q2_2r3D[NQ2_2r3D + 1] = { + 5.415024336507980465169023996403597916115E-5Q, + 4.179246497380453022046357404266022870788E-3Q, + 1.136306384261959483095442402929502368598E-1Q, + 1.422640343719842213484515445393284072830E0Q, + 8.968786703393158374728850922289204805764E0Q, + 2.914542473339246127533384118781216495934E1Q, + 4.781605421020380669870197378210457054685E1Q, + 3.693865837171883152382820584714795072937E1Q, + 1.153220502744204904763115556224395893076E1Q, + /* 1.000000000000000000000000000000000000000E0 */ +}; + + +/* Evaluate P[n] x^n + P[n-1] x^(n-1) + ... + P[0] */ + +static __float128 +neval (__float128 x, const __float128 *p, int n) +{ + __float128 y; + + p += n; + y = *p--; + do + { + y = y * x + *p--; + } + while (--n > 0); + return y; +} + + +/* Evaluate x^n+1 + P[n] x^(n) + P[n-1] x^(n-1) + ... + P[0] */ + +static __float128 +deval (__float128 x, const __float128 *p, int n) +{ + __float128 y; + + p += n; + y = x + *p--; + do + { + y = y * x + *p--; + } + while (--n > 0); + return y; +} + + +/* Bessel function of the first kind, order one. */ + +__float128 +j1q (__float128 x) +{ + __float128 xx, xinv, z, p, q, c, s, cc, ss; + + if (! finiteq (x)) + { + if (x != x) + return x; + else + return 0.0Q; + } + if (x == 0.0Q) + return x; + xx = fabsq (x); + if (xx <= 2.0Q) + { + /* 0 <= x <= 2 */ + z = xx * xx; + p = xx * z * neval (z, J0_2N, NJ0_2N) / deval (z, J0_2D, NJ0_2D); + p += 0.5Q * xx; + if (x < 0) + p = -p; + return p; + } + + xinv = 1.0Q / xx; + z = xinv * xinv; + if (xinv <= 0.25) + { + if (xinv <= 0.125) + { + if (xinv <= 0.0625) + { + p = neval (z, P16_IN, NP16_IN) / deval (z, P16_ID, NP16_ID); + q = neval (z, Q16_IN, NQ16_IN) / deval (z, Q16_ID, NQ16_ID); + } + else + { + p = neval (z, P8_16N, NP8_16N) / deval (z, P8_16D, NP8_16D); + q = neval (z, Q8_16N, NQ8_16N) / deval (z, Q8_16D, NQ8_16D); + } + } + else if (xinv <= 0.1875) + { + p = neval (z, P5_8N, NP5_8N) / deval (z, P5_8D, NP5_8D); + q = neval (z, Q5_8N, NQ5_8N) / deval (z, Q5_8D, NQ5_8D); + } + else + { + p = neval (z, P4_5N, NP4_5N) / deval (z, P4_5D, NP4_5D); + q = neval (z, Q4_5N, NQ4_5N) / deval (z, Q4_5D, NQ4_5D); + } + } /* .25 */ + else /* if (xinv <= 0.5) */ + { + if (xinv <= 0.375) + { + if (xinv <= 0.3125) + { + p = neval (z, P3r2_4N, NP3r2_4N) / deval (z, P3r2_4D, NP3r2_4D); + q = neval (z, Q3r2_4N, NQ3r2_4N) / deval (z, Q3r2_4D, NQ3r2_4D); + } + else + { + p = neval (z, P2r7_3r2N, NP2r7_3r2N) + / deval (z, P2r7_3r2D, NP2r7_3r2D); + q = neval (z, Q2r7_3r2N, NQ2r7_3r2N) + / deval (z, Q2r7_3r2D, NQ2r7_3r2D); + } + } + else if (xinv <= 0.4375) + { + p = neval (z, P2r3_2r7N, NP2r3_2r7N) + / deval (z, P2r3_2r7D, NP2r3_2r7D); + q = neval (z, Q2r3_2r7N, NQ2r3_2r7N) + / deval (z, Q2r3_2r7D, NQ2r3_2r7D); + } + else + { + p = neval (z, P2_2r3N, NP2_2r3N) / deval (z, P2_2r3D, NP2_2r3D); + q = neval (z, Q2_2r3N, NQ2_2r3N) / deval (z, Q2_2r3D, NQ2_2r3D); + } + } + p = 1.0Q + z * p; + q = z * q; + q = q * xinv + 0.375Q * xinv; + /* X = x - 3 pi/4 + cos(X) = cos(x) cos(3 pi/4) + sin(x) sin(3 pi/4) + = 1/sqrt(2) * (-cos(x) + sin(x)) + sin(X) = sin(x) cos(3 pi/4) - cos(x) sin(3 pi/4) + = -1/sqrt(2) * (sin(x) + cos(x)) + cf. Fdlibm. */ + sincosq (xx, &s, &c); + ss = -s - c; + cc = s - c; + z = cosq (xx + xx); + if ((s * c) > 0) + cc = z / ss; + else + ss = z / cc; + z = ONEOSQPI * (p * cc - q * ss) / sqrtq (xx); + if (x < 0) + z = -z; + return z; +} + + +/* Y1(x) = 2/pi * (log(x) * J1(x) - 1/x) + x R(x^2) + Peak relative error 6.2e-38 + 0 <= x <= 2 */ +#define NY0_2N 7 +static __float128 Y0_2N[NY0_2N + 1] = { + -6.804415404830253804408698161694720833249E19Q, + 1.805450517967019908027153056150465849237E19Q, + -8.065747497063694098810419456383006737312E17Q, + 1.401336667383028259295830955439028236299E16Q, + -1.171654432898137585000399489686629680230E14Q, + 5.061267920943853732895341125243428129150E11Q, + -1.096677850566094204586208610960870217970E9Q, + 9.541172044989995856117187515882879304461E5Q, +}; +#define NY0_2D 7 +static __float128 Y0_2D[NY0_2D + 1] = { + 3.470629591820267059538637461549677594549E20Q, + 4.120796439009916326855848107545425217219E18Q, + 2.477653371652018249749350657387030814542E16Q, + 9.954678543353888958177169349272167762797E13Q, + 2.957927997613630118216218290262851197754E11Q, + 6.748421382188864486018861197614025972118E8Q, + 1.173453425218010888004562071020305709319E6Q, + 1.450335662961034949894009554536003377187E3Q, + /* 1.000000000000000000000000000000000000000E0 */ +}; + + +/* Bessel function of the second kind, order one. */ + +__float128 +y1q (__float128 x) +{ + __float128 xx, xinv, z, p, q, c, s, cc, ss; + + if (! finiteq (x)) + { + if (x != x) + return x; + else + return 0.0Q; + } + if (x <= 0.0Q) + { + if (x < 0.0Q) + return (zero / (zero * x)); + return -HUGE_VALQ + x; + } + xx = fabsq (x); + if (xx <= 2.0Q) + { + /* 0 <= x <= 2 */ + z = xx * xx; + p = xx * neval (z, Y0_2N, NY0_2N) / deval (z, Y0_2D, NY0_2D); + p = -TWOOPI / xx + p; + p = TWOOPI * logq (x) * j1q (x) + p; + return p; + } + + xinv = 1.0Q / xx; + z = xinv * xinv; + if (xinv <= 0.25) + { + if (xinv <= 0.125) + { + if (xinv <= 0.0625) + { + p = neval (z, P16_IN, NP16_IN) / deval (z, P16_ID, NP16_ID); + q = neval (z, Q16_IN, NQ16_IN) / deval (z, Q16_ID, NQ16_ID); + } + else + { + p = neval (z, P8_16N, NP8_16N) / deval (z, P8_16D, NP8_16D); + q = neval (z, Q8_16N, NQ8_16N) / deval (z, Q8_16D, NQ8_16D); + } + } + else if (xinv <= 0.1875) + { + p = neval (z, P5_8N, NP5_8N) / deval (z, P5_8D, NP5_8D); + q = neval (z, Q5_8N, NQ5_8N) / deval (z, Q5_8D, NQ5_8D); + } + else + { + p = neval (z, P4_5N, NP4_5N) / deval (z, P4_5D, NP4_5D); + q = neval (z, Q4_5N, NQ4_5N) / deval (z, Q4_5D, NQ4_5D); + } + } /* .25 */ + else /* if (xinv <= 0.5) */ + { + if (xinv <= 0.375) + { + if (xinv <= 0.3125) + { + p = neval (z, P3r2_4N, NP3r2_4N) / deval (z, P3r2_4D, NP3r2_4D); + q = neval (z, Q3r2_4N, NQ3r2_4N) / deval (z, Q3r2_4D, NQ3r2_4D); + } + else + { + p = neval (z, P2r7_3r2N, NP2r7_3r2N) + / deval (z, P2r7_3r2D, NP2r7_3r2D); + q = neval (z, Q2r7_3r2N, NQ2r7_3r2N) + / deval (z, Q2r7_3r2D, NQ2r7_3r2D); + } + } + else if (xinv <= 0.4375) + { + p = neval (z, P2r3_2r7N, NP2r3_2r7N) + / deval (z, P2r3_2r7D, NP2r3_2r7D); + q = neval (z, Q2r3_2r7N, NQ2r3_2r7N) + / deval (z, Q2r3_2r7D, NQ2r3_2r7D); + } + else + { + p = neval (z, P2_2r3N, NP2_2r3N) / deval (z, P2_2r3D, NP2_2r3D); + q = neval (z, Q2_2r3N, NQ2_2r3N) / deval (z, Q2_2r3D, NQ2_2r3D); + } + } + p = 1.0Q + z * p; + q = z * q; + q = q * xinv + 0.375Q * xinv; + /* X = x - 3 pi/4 + cos(X) = cos(x) cos(3 pi/4) + sin(x) sin(3 pi/4) + = 1/sqrt(2) * (-cos(x) + sin(x)) + sin(X) = sin(x) cos(3 pi/4) - cos(x) sin(3 pi/4) + = -1/sqrt(2) * (sin(x) + cos(x)) + cf. Fdlibm. */ + sincosq (xx, &s, &c); + ss = -s - c; + cc = s - c; + z = cosq (xx + xx); + if ((s * c) > 0) + cc = z / ss; + else + ss = z / cc; + z = ONEOSQPI * (p * ss + q * cc) / sqrtq (xx); + return z; +} diff --git a/libquadmath/math/jnq.c b/libquadmath/math/jnq.c new file mode 100644 index 000000000..d82947a3c --- /dev/null +++ b/libquadmath/math/jnq.c @@ -0,0 +1,381 @@ +/* + * ==================================================== + * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. + * + * Developed at SunPro, a Sun Microsystems, Inc. business. + * Permission to use, copy, modify, and distribute this + * software is freely granted, provided that this notice + * is preserved. + * ==================================================== + */ + +/* Modifications for 128-bit long double are + Copyright (C) 2001 Stephen L. Moshier <moshier@na-net.ornl.gov> + and are incorporated herein by permission of the author. The author + reserves the right to distribute this material elsewhere under different + copying permissions. These modifications are distributed here under + the following terms: + + This library is free software; you can redistribute it and/or + modify it under the terms of the GNU Lesser General Public + License as published by the Free Software Foundation; either + version 2.1 of the License, or (at your option) any later version. + + This library is distributed in the hope that it will be useful, + but WITHOUT ANY WARRANTY; without even the implied warranty of + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + Lesser General Public License for more details. + + You should have received a copy of the GNU Lesser General Public + License along with this library; if not, write to the Free Software + Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA */ + +/* + * __ieee754_jn(n, x), __ieee754_yn(n, x) + * floating point Bessel's function of the 1st and 2nd kind + * of order n + * + * Special cases: + * y0(0)=y1(0)=yn(n,0) = -inf with division by zero signal; + * y0(-ve)=y1(-ve)=yn(n,-ve) are NaN with invalid signal. + * Note 2. About jn(n,x), yn(n,x) + * For n=0, j0(x) is called, + * for n=1, j1(x) is called, + * for n<x, forward recursion us used starting + * from values of j0(x) and j1(x). + * for n>x, a continued fraction approximation to + * j(n,x)/j(n-1,x) is evaluated and then backward + * recursion is used starting from a supposed value + * for j(n,x). The resulting value of j(0,x) is + * compared with the actual value to correct the + * supposed value of j(n,x). + * + * yn(n,x) is similar in all respects, except + * that forward recursion is used for all + * values of n>1. + * + */ + +#include "quadmath-imp.h" + +static const __float128 + invsqrtpi = 5.6418958354775628694807945156077258584405E-1Q, + two = 2.0e0Q, + one = 1.0e0Q, + zero = 0.0Q; + + +__float128 +jnq (int n, __float128 x) +{ + uint32_t se; + int32_t i, ix, sgn; + __float128 a, b, temp, di; + __float128 z, w; + ieee854_float128 u; + + + /* J(-n,x) = (-1)^n * J(n, x), J(n, -x) = (-1)^n * J(n, x) + * Thus, J(-n,x) = J(n,-x) + */ + + u.value = x; + se = u.words32.w0; + ix = se & 0x7fffffff; + + /* if J(n,NaN) is NaN */ + if (ix >= 0x7fff0000) + { + if ((u.words32.w0 & 0xffff) | u.words32.w1 | u.words32.w2 | u.words32.w3) + return x + x; + } + + if (n < 0) + { + n = -n; + x = -x; + se ^= 0x80000000; + } + if (n == 0) + return (j0q (x)); + if (n == 1) + return (j1q (x)); + sgn = (n & 1) & (se >> 31); /* even n -- 0, odd n -- sign(x) */ + x = fabsq (x); + + if (x == 0.0Q || ix >= 0x7fff0000) /* if x is 0 or inf */ + b = zero; + else if ((__float128) n <= x) + { + /* Safe to use J(n+1,x)=2n/x *J(n,x)-J(n-1,x) */ + if (ix >= 0x412D0000) + { /* x > 2**302 */ + + /* ??? Could use an expansion for large x here. */ + + /* (x >> n**2) + * Jn(x) = cos(x-(2n+1)*pi/4)*sqrt(2/x*pi) + * Yn(x) = sin(x-(2n+1)*pi/4)*sqrt(2/x*pi) + * Let s=sin(x), c=cos(x), + * xn=x-(2n+1)*pi/4, sqt2 = sqrt(2),then + * + * n sin(xn)*sqt2 cos(xn)*sqt2 + * ---------------------------------- + * 0 s-c c+s + * 1 -s-c -c+s + * 2 -s+c -c-s + * 3 s+c c-s + */ + __float128 s; + __float128 c; + sincosq (x, &s, &c); + switch (n & 3) + { + case 0: + temp = c + s; + break; + case 1: + temp = -c + s; + break; + case 2: + temp = -c - s; + break; + case 3: + temp = c - s; + break; + } + b = invsqrtpi * temp / sqrtq (x); + } + else + { + a = j0q (x); + b = j1q (x); + for (i = 1; i < n; i++) + { + temp = b; + b = b * ((__float128) (i + i) / x) - a; /* avoid underflow */ + a = temp; + } + } + } + else + { + if (ix < 0x3fc60000) + { /* x < 2**-57 */ + /* x is tiny, return the first Taylor expansion of J(n,x) + * J(n,x) = 1/n!*(x/2)^n - ... + */ + if (n >= 400) /* underflow, result < 10^-4952 */ + b = zero; + else + { + temp = x * 0.5; + b = temp; + for (a = one, i = 2; i <= n; i++) + { + a *= (__float128) i; /* a = n! */ + b *= temp; /* b = (x/2)^n */ + } + b = b / a; + } + } + else + { + /* use backward recurrence */ + /* x x^2 x^2 + * J(n,x)/J(n-1,x) = ---- ------ ------ ..... + * 2n - 2(n+1) - 2(n+2) + * + * 1 1 1 + * (for large x) = ---- ------ ------ ..... + * 2n 2(n+1) 2(n+2) + * -- - ------ - ------ - + * x x x + * + * Let w = 2n/x and h=2/x, then the above quotient + * is equal to the continued fraction: + * 1 + * = ----------------------- + * 1 + * w - ----------------- + * 1 + * w+h - --------- + * w+2h - ... + * + * To determine how many terms needed, let + * Q(0) = w, Q(1) = w(w+h) - 1, + * Q(k) = (w+k*h)*Q(k-1) - Q(k-2), + * When Q(k) > 1e4 good for single + * When Q(k) > 1e9 good for double + * When Q(k) > 1e17 good for quadruple + */ + /* determine k */ + __float128 t, v; + __float128 q0, q1, h, tmp; + int32_t k, m; + w = (n + n) / (__float128) x; + h = 2.0Q / (__float128) x; + q0 = w; + z = w + h; + q1 = w * z - 1.0Q; + k = 1; + while (q1 < 1.0e17Q) + { + k += 1; + z += h; + tmp = z * q1 - q0; + q0 = q1; + q1 = tmp; + } + m = n + n; + for (t = zero, i = 2 * (n + k); i >= m; i -= 2) + t = one / (i / x - t); + a = t; + b = one; + /* estimate log((2/x)^n*n!) = n*log(2/x)+n*ln(n) + * Hence, if n*(log(2n/x)) > ... + * single 8.8722839355e+01 + * double 7.09782712893383973096e+02 + * __float128 1.1356523406294143949491931077970765006170e+04 + * then recurrent value may overflow and the result is + * likely underflow to zero + */ + tmp = n; + v = two / x; + tmp = tmp * logq (fabsq (v * tmp)); + + if (tmp < 1.1356523406294143949491931077970765006170e+04Q) + { + for (i = n - 1, di = (__float128) (i + i); i > 0; i--) + { + temp = b; + b *= di; + b = b / x - a; + a = temp; + di -= two; + } + } + else + { + for (i = n - 1, di = (__float128) (i + i); i > 0; i--) + { + temp = b; + b *= di; + b = b / x - a; + a = temp; + di -= two; + /* scale b to avoid spurious overflow */ + if (b > 1e100Q) + { + a /= b; + t /= b; + b = one; + } + } + } + b = (t * j0q (x) / b); + } + } + if (sgn == 1) + return -b; + else + return b; +} + +__float128 +ynq (int n, __float128 x) +{ + uint32_t se; + int32_t i, ix; + int32_t sign; + __float128 a, b, temp; + ieee854_float128 u; + + u.value = x; + se = u.words32.w0; + ix = se & 0x7fffffff; + + /* if Y(n,NaN) is NaN */ + if (ix >= 0x7fff0000) + { + if ((u.words32.w0 & 0xffff) | u.words32.w1 | u.words32.w2 | u.words32.w3) + return x + x; + } + if (x <= 0.0Q) + { + if (x == 0.0Q) + return -HUGE_VALQ + x; + if (se & 0x80000000) + return zero / (zero * x); + } + sign = 1; + if (n < 0) + { + n = -n; + sign = 1 - ((n & 1) << 1); + } + if (n == 0) + return (y0q (x)); + if (n == 1) + return (sign * y1q (x)); + if (ix >= 0x7fff0000) + return zero; + if (ix >= 0x412D0000) + { /* x > 2**302 */ + + /* ??? See comment above on the possible futility of this. */ + + /* (x >> n**2) + * Jn(x) = cos(x-(2n+1)*pi/4)*sqrt(2/x*pi) + * Yn(x) = sin(x-(2n+1)*pi/4)*sqrt(2/x*pi) + * Let s=sin(x), c=cos(x), + * xn=x-(2n+1)*pi/4, sqt2 = sqrt(2),then + * + * n sin(xn)*sqt2 cos(xn)*sqt2 + * ---------------------------------- + * 0 s-c c+s + * 1 -s-c -c+s + * 2 -s+c -c-s + * 3 s+c c-s + */ + __float128 s; + __float128 c; + sincosq (x, &s, &c); + switch (n & 3) + { + case 0: + temp = s - c; + break; + case 1: + temp = -s - c; + break; + case 2: + temp = -s + c; + break; + case 3: + temp = s + c; + break; + } + b = invsqrtpi * temp / sqrtq (x); + } + else + { + a = y0q (x); + b = y1q (x); + /* quit if b is -inf */ + u.value = b; + se = u.words32.w0 & 0xffff0000; + for (i = 1; i < n && se != 0xffff0000; i++) + { + temp = b; + b = ((__float128) (i + i) / x) * b - a; + u.value = b; + se = u.words32.w0 & 0xffff0000; + a = temp; + } + } + if (sign > 0) + return b; + else + return -b; +} diff --git a/libquadmath/math/ldexpq.c b/libquadmath/math/ldexpq.c new file mode 100644 index 000000000..394d4590c --- /dev/null +++ b/libquadmath/math/ldexpq.c @@ -0,0 +1,27 @@ +/* s_ldexpl.c -- long double version of s_ldexp.c. + * Conversion to long double by Ulrich Drepper, + * Cygnus Support, drepper@cygnus.com. + */ + +/* + * ==================================================== + * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. + * + * Developed at SunPro, a Sun Microsystems, Inc. business. + * Permission to use, copy, modify, and distribute this + * software is freely granted, provided that this notice + * is preserved. + * ==================================================== + */ + +#include <errno.h> +#include "quadmath-imp.h" + +__float128 +ldexpq (__float128 value, int exp) +{ + if(!finiteq(value)||value==0.0Q) return value; + value = scalbnq(value,exp); + if(!finiteq(value)||value==0.0Q) errno = ERANGE; + return value; +} diff --git a/libquadmath/math/lgammaq.c b/libquadmath/math/lgammaq.c new file mode 100644 index 000000000..6e7697ac6 --- /dev/null +++ b/libquadmath/math/lgammaq.c @@ -0,0 +1,1034 @@ +/* lgammal + * + * Natural logarithm of gamma function + * + * + * + * SYNOPSIS: + * + * __float128 x, y, lgammal(); + * extern int sgngam; + * + * y = lgammal(x); + * + * + * + * DESCRIPTION: + * + * Returns the base e (2.718...) logarithm of the absolute + * value of the gamma function of the argument. + * The sign (+1 or -1) of the gamma function is returned in a + * global (extern) variable named sgngam. + * + * The positive domain is partitioned into numerous segments for approximation. + * For x > 10, + * log gamma(x) = (x - 0.5) log(x) - x + log sqrt(2 pi) + 1/x R(1/x^2) + * Near the minimum at x = x0 = 1.46... the approximation is + * log gamma(x0 + z) = log gamma(x0) + z^2 P(z)/Q(z) + * for small z. + * Elsewhere between 0 and 10, + * log gamma(n + z) = log gamma(n) + z P(z)/Q(z) + * for various selected n and small z. + * + * The cosecant reflection formula is employed for negative arguments. + * + * + * + * ACCURACY: + * + * + * arithmetic domain # trials peak rms + * Relative error: + * IEEE 10, 30 100000 3.9e-34 9.8e-35 + * IEEE 0, 10 100000 3.8e-34 5.3e-35 + * Absolute error: + * IEEE -10, 0 100000 8.0e-34 8.0e-35 + * IEEE -30, -10 100000 4.4e-34 1.0e-34 + * IEEE -100, 100 100000 1.0e-34 + * + * The absolute error criterion is the same as relative error + * when the function magnitude is greater than one but it is absolute + * when the magnitude is less than one. + * + */ + +/* Copyright 2001 by Stephen L. Moshier <moshier@na-net.ornl.gov> + + This library is free software; you can redistribute it and/or + modify it under the terms of the GNU Lesser General Public + License as published by the Free Software Foundation; either + version 2.1 of the License, or (at your option) any later version. + + This library is distributed in the hope that it will be useful, + but WITHOUT ANY WARRANTY; without even the implied warranty of + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + Lesser General Public License for more details. + + You should have received a copy of the GNU Lesser General Public + License along with this library; if not, write to the Free Software + Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA */ + +#include "quadmath-imp.h" + +static const __float128 PIQ = 3.1415926535897932384626433832795028841972E0Q; +static const __float128 MAXLGM = 1.0485738685148938358098967157129705071571E4928Q; +static const __float128 one = 1.0Q; +static const __float128 zero = 0.0Q; +static const __float128 huge = 1.0e4000Q; + +/* log gamma(x) = ( x - 0.5 ) * log(x) - x + LS2PI + 1/x P(1/x^2) + 1/x <= 0.0741 (x >= 13.495...) + Peak relative error 1.5e-36 */ +static const __float128 ls2pi = 9.1893853320467274178032973640561763986140E-1Q; +#define NRASY 12 +static const __float128 RASY[NRASY + 1] = +{ + 8.333333333333333333333333333310437112111E-2Q, + -2.777777777777777777777774789556228296902E-3Q, + 7.936507936507936507795933938448586499183E-4Q, + -5.952380952380952041799269756378148574045E-4Q, + 8.417508417507928904209891117498524452523E-4Q, + -1.917526917481263997778542329739806086290E-3Q, + 6.410256381217852504446848671499409919280E-3Q, + -2.955064066900961649768101034477363301626E-2Q, + 1.796402955865634243663453415388336954675E-1Q, + -1.391522089007758553455753477688592767741E0Q, + 1.326130089598399157988112385013829305510E1Q, + -1.420412699593782497803472576479997819149E2Q, + 1.218058922427762808938869872528846787020E3Q +}; + + +/* log gamma(x+13) = log gamma(13) + x P(x)/Q(x) + -0.5 <= x <= 0.5 + 12.5 <= x+13 <= 13.5 + Peak relative error 1.1e-36 */ +static const __float128 lgam13a = 1.9987213134765625E1Q; +static const __float128 lgam13b = 1.3608962611495173623870550785125024484248E-6Q; +#define NRN13 7 +static const __float128 RN13[NRN13 + 1] = +{ + 8.591478354823578150238226576156275285700E11Q, + 2.347931159756482741018258864137297157668E11Q, + 2.555408396679352028680662433943000804616E10Q, + 1.408581709264464345480765758902967123937E9Q, + 4.126759849752613822953004114044451046321E7Q, + 6.133298899622688505854211579222889943778E5Q, + 3.929248056293651597987893340755876578072E3Q, + 6.850783280018706668924952057996075215223E0Q +}; +#define NRD13 6 +static const __float128 RD13[NRD13 + 1] = +{ + 3.401225382297342302296607039352935541669E11Q, + 8.756765276918037910363513243563234551784E10Q, + 8.873913342866613213078554180987647243903E9Q, + 4.483797255342763263361893016049310017973E8Q, + 1.178186288833066430952276702931512870676E7Q, + 1.519928623743264797939103740132278337476E5Q, + 7.989298844938119228411117593338850892311E2Q + /* 1.0E0Q */ +}; + + +/* log gamma(x+12) = log gamma(12) + x P(x)/Q(x) + -0.5 <= x <= 0.5 + 11.5 <= x+12 <= 12.5 + Peak relative error 4.1e-36 */ +static const __float128 lgam12a = 1.75023040771484375E1Q; +static const __float128 lgam12b = 3.7687254483392876529072161996717039575982E-6Q; +#define NRN12 7 +static const __float128 RN12[NRN12 + 1] = +{ + 4.709859662695606986110997348630997559137E11Q, + 1.398713878079497115037857470168777995230E11Q, + 1.654654931821564315970930093932954900867E10Q, + 9.916279414876676861193649489207282144036E8Q, + 3.159604070526036074112008954113411389879E7Q, + 5.109099197547205212294747623977502492861E5Q, + 3.563054878276102790183396740969279826988E3Q, + 6.769610657004672719224614163196946862747E0Q +}; +#define NRD12 6 +static const __float128 RD12[NRD12 + 1] = +{ + 1.928167007860968063912467318985802726613E11Q, + 5.383198282277806237247492369072266389233E10Q, + 5.915693215338294477444809323037871058363E9Q, + 3.241438287570196713148310560147925781342E8Q, + 9.236680081763754597872713592701048455890E6Q, + 1.292246897881650919242713651166596478850E5Q, + 7.366532445427159272584194816076600211171E2Q + /* 1.0E0Q */ +}; + + +/* log gamma(x+11) = log gamma(11) + x P(x)/Q(x) + -0.5 <= x <= 0.5 + 10.5 <= x+11 <= 11.5 + Peak relative error 1.8e-35 */ +static const __float128 lgam11a = 1.5104400634765625E1Q; +static const __float128 lgam11b = 1.1938309890295225709329251070371882250744E-5Q; +#define NRN11 7 +static const __float128 RN11[NRN11 + 1] = +{ + 2.446960438029415837384622675816736622795E11Q, + 7.955444974446413315803799763901729640350E10Q, + 1.030555327949159293591618473447420338444E10Q, + 6.765022131195302709153994345470493334946E8Q, + 2.361892792609204855279723576041468347494E7Q, + 4.186623629779479136428005806072176490125E5Q, + 3.202506022088912768601325534149383594049E3Q, + 6.681356101133728289358838690666225691363E0Q +}; +#define NRD11 6 +static const __float128 RD11[NRD11 + 1] = +{ + 1.040483786179428590683912396379079477432E11Q, + 3.172251138489229497223696648369823779729E10Q, + 3.806961885984850433709295832245848084614E9Q, + 2.278070344022934913730015420611609620171E8Q, + 7.089478198662651683977290023829391596481E6Q, + 1.083246385105903533237139380509590158658E5Q, + 6.744420991491385145885727942219463243597E2Q + /* 1.0E0Q */ +}; + + +/* log gamma(x+10) = log gamma(10) + x P(x)/Q(x) + -0.5 <= x <= 0.5 + 9.5 <= x+10 <= 10.5 + Peak relative error 5.4e-37 */ +static const __float128 lgam10a = 1.280181884765625E1Q; +static const __float128 lgam10b = 8.6324252196112077178745667061642811492557E-6Q; +#define NRN10 7 +static const __float128 RN10[NRN10 + 1] = +{ + -1.239059737177249934158597996648808363783E14Q, + -4.725899566371458992365624673357356908719E13Q, + -7.283906268647083312042059082837754850808E12Q, + -5.802855515464011422171165179767478794637E11Q, + -2.532349691157548788382820303182745897298E10Q, + -5.884260178023777312587193693477072061820E8Q, + -6.437774864512125749845840472131829114906E6Q, + -2.350975266781548931856017239843273049384E4Q +}; +#define NRD10 7 +static const __float128 RD10[NRD10 + 1] = +{ + -5.502645997581822567468347817182347679552E13Q, + -1.970266640239849804162284805400136473801E13Q, + -2.819677689615038489384974042561531409392E12Q, + -2.056105863694742752589691183194061265094E11Q, + -8.053670086493258693186307810815819662078E9Q, + -1.632090155573373286153427982504851867131E8Q, + -1.483575879240631280658077826889223634921E6Q, + -4.002806669713232271615885826373550502510E3Q + /* 1.0E0Q */ +}; + + +/* log gamma(x+9) = log gamma(9) + x P(x)/Q(x) + -0.5 <= x <= 0.5 + 8.5 <= x+9 <= 9.5 + Peak relative error 3.6e-36 */ +static const __float128 lgam9a = 1.06045989990234375E1Q; +static const __float128 lgam9b = 3.9037218127284172274007216547549861681400E-6Q; +#define NRN9 7 +static const __float128 RN9[NRN9 + 1] = +{ + -4.936332264202687973364500998984608306189E13Q, + -2.101372682623700967335206138517766274855E13Q, + -3.615893404644823888655732817505129444195E12Q, + -3.217104993800878891194322691860075472926E11Q, + -1.568465330337375725685439173603032921399E10Q, + -4.073317518162025744377629219101510217761E8Q, + -4.983232096406156139324846656819246974500E6Q, + -2.036280038903695980912289722995505277253E4Q +}; +#define NRD9 7 +static const __float128 RD9[NRD9 + 1] = +{ + -2.306006080437656357167128541231915480393E13Q, + -9.183606842453274924895648863832233799950E12Q, + -1.461857965935942962087907301194381010380E12Q, + -1.185728254682789754150068652663124298303E11Q, + -5.166285094703468567389566085480783070037E9Q, + -1.164573656694603024184768200787835094317E8Q, + -1.177343939483908678474886454113163527909E6Q, + -3.529391059783109732159524500029157638736E3Q + /* 1.0E0Q */ +}; + + +/* log gamma(x+8) = log gamma(8) + x P(x)/Q(x) + -0.5 <= x <= 0.5 + 7.5 <= x+8 <= 8.5 + Peak relative error 2.4e-37 */ +static const __float128 lgam8a = 8.525146484375E0Q; +static const __float128 lgam8b = 1.4876690414300165531036347125050759667737E-5Q; +#define NRN8 8 +static const __float128 RN8[NRN8 + 1] = +{ + 6.600775438203423546565361176829139703289E11Q, + 3.406361267593790705240802723914281025800E11Q, + 7.222460928505293914746983300555538432830E10Q, + 8.102984106025088123058747466840656458342E9Q, + 5.157620015986282905232150979772409345927E8Q, + 1.851445288272645829028129389609068641517E7Q, + 3.489261702223124354745894067468953756656E5Q, + 2.892095396706665774434217489775617756014E3Q, + 6.596977510622195827183948478627058738034E0Q +}; +#define NRD8 7 +static const __float128 RD8[NRD8 + 1] = +{ + 3.274776546520735414638114828622673016920E11Q, + 1.581811207929065544043963828487733970107E11Q, + 3.108725655667825188135393076860104546416E10Q, + 3.193055010502912617128480163681842165730E9Q, + 1.830871482669835106357529710116211541839E8Q, + 5.790862854275238129848491555068073485086E6Q, + 9.305213264307921522842678835618803553589E4Q, + 6.216974105861848386918949336819572333622E2Q + /* 1.0E0Q */ +}; + + +/* log gamma(x+7) = log gamma(7) + x P(x)/Q(x) + -0.5 <= x <= 0.5 + 6.5 <= x+7 <= 7.5 + Peak relative error 3.2e-36 */ +static const __float128 lgam7a = 6.5792388916015625E0Q; +static const __float128 lgam7b = 1.2320408538495060178292903945321122583007E-5Q; +#define NRN7 8 +static const __float128 RN7[NRN7 + 1] = +{ + 2.065019306969459407636744543358209942213E11Q, + 1.226919919023736909889724951708796532847E11Q, + 2.996157990374348596472241776917953749106E10Q, + 3.873001919306801037344727168434909521030E9Q, + 2.841575255593761593270885753992732145094E8Q, + 1.176342515359431913664715324652399565551E7Q, + 2.558097039684188723597519300356028511547E5Q, + 2.448525238332609439023786244782810774702E3Q, + 6.460280377802030953041566617300902020435E0Q +}; +#define NRD7 7 +static const __float128 RD7[NRD7 + 1] = +{ + 1.102646614598516998880874785339049304483E11Q, + 6.099297512712715445879759589407189290040E10Q, + 1.372898136289611312713283201112060238351E10Q, + 1.615306270420293159907951633566635172343E9Q, + 1.061114435798489135996614242842561967459E8Q, + 3.845638971184305248268608902030718674691E6Q, + 7.081730675423444975703917836972720495507E4Q, + 5.423122582741398226693137276201344096370E2Q + /* 1.0E0Q */ +}; + + +/* log gamma(x+6) = log gamma(6) + x P(x)/Q(x) + -0.5 <= x <= 0.5 + 5.5 <= x+6 <= 6.5 + Peak relative error 6.2e-37 */ +static const __float128 lgam6a = 4.7874908447265625E0Q; +static const __float128 lgam6b = 8.9805548349424770093452324304839959231517E-7Q; +#define NRN6 8 +static const __float128 RN6[NRN6 + 1] = +{ + -3.538412754670746879119162116819571823643E13Q, + -2.613432593406849155765698121483394257148E13Q, + -8.020670732770461579558867891923784753062E12Q, + -1.322227822931250045347591780332435433420E12Q, + -1.262809382777272476572558806855377129513E11Q, + -7.015006277027660872284922325741197022467E9Q, + -2.149320689089020841076532186783055727299E8Q, + -3.167210585700002703820077565539658995316E6Q, + -1.576834867378554185210279285358586385266E4Q +}; +#define NRD6 8 +static const __float128 RD6[NRD6 + 1] = +{ + -2.073955870771283609792355579558899389085E13Q, + -1.421592856111673959642750863283919318175E13Q, + -4.012134994918353924219048850264207074949E12Q, + -6.013361045800992316498238470888523722431E11Q, + -5.145382510136622274784240527039643430628E10Q, + -2.510575820013409711678540476918249524123E9Q, + -6.564058379709759600836745035871373240904E7Q, + -7.861511116647120540275354855221373571536E5Q, + -2.821943442729620524365661338459579270561E3Q + /* 1.0E0Q */ +}; + + +/* log gamma(x+5) = log gamma(5) + x P(x)/Q(x) + -0.5 <= x <= 0.5 + 4.5 <= x+5 <= 5.5 + Peak relative error 3.4e-37 */ +static const __float128 lgam5a = 3.17803955078125E0Q; +static const __float128 lgam5b = 1.4279566695619646941601297055408873990961E-5Q; +#define NRN5 9 +static const __float128 RN5[NRN5 + 1] = +{ + 2.010952885441805899580403215533972172098E11Q, + 1.916132681242540921354921906708215338584E11Q, + 7.679102403710581712903937970163206882492E10Q, + 1.680514903671382470108010973615268125169E10Q, + 2.181011222911537259440775283277711588410E9Q, + 1.705361119398837808244780667539728356096E8Q, + 7.792391565652481864976147945997033946360E6Q, + 1.910741381027985291688667214472560023819E5Q, + 2.088138241893612679762260077783794329559E3Q, + 6.330318119566998299106803922739066556550E0Q +}; +#define NRD5 8 +static const __float128 RD5[NRD5 + 1] = +{ + 1.335189758138651840605141370223112376176E11Q, + 1.174130445739492885895466097516530211283E11Q, + 4.308006619274572338118732154886328519910E10Q, + 8.547402888692578655814445003283720677468E9Q, + 9.934628078575618309542580800421370730906E8Q, + 6.847107420092173812998096295422311820672E7Q, + 2.698552646016599923609773122139463150403E6Q, + 5.526516251532464176412113632726150253215E4Q, + 4.772343321713697385780533022595450486932E2Q + /* 1.0E0Q */ +}; + + +/* log gamma(x+4) = log gamma(4) + x P(x)/Q(x) + -0.5 <= x <= 0.5 + 3.5 <= x+4 <= 4.5 + Peak relative error 6.7e-37 */ +static const __float128 lgam4a = 1.791748046875E0Q; +static const __float128 lgam4b = 1.1422353055000812477358380702272722990692E-5Q; +#define NRN4 9 +static const __float128 RN4[NRN4 + 1] = +{ + -1.026583408246155508572442242188887829208E13Q, + -1.306476685384622809290193031208776258809E13Q, + -7.051088602207062164232806511992978915508E12Q, + -2.100849457735620004967624442027793656108E12Q, + -3.767473790774546963588549871673843260569E11Q, + -4.156387497364909963498394522336575984206E10Q, + -2.764021460668011732047778992419118757746E9Q, + -1.036617204107109779944986471142938641399E8Q, + -1.895730886640349026257780896972598305443E6Q, + -1.180509051468390914200720003907727988201E4Q +}; +#define NRD4 9 +static const __float128 RD4[NRD4 + 1] = +{ + -8.172669122056002077809119378047536240889E12Q, + -9.477592426087986751343695251801814226960E12Q, + -4.629448850139318158743900253637212801682E12Q, + -1.237965465892012573255370078308035272942E12Q, + -1.971624313506929845158062177061297598956E11Q, + -1.905434843346570533229942397763361493610E10Q, + -1.089409357680461419743730978512856675984E9Q, + -3.416703082301143192939774401370222822430E7Q, + -4.981791914177103793218433195857635265295E5Q, + -2.192507743896742751483055798411231453733E3Q + /* 1.0E0Q */ +}; + + +/* log gamma(x+3) = log gamma(3) + x P(x)/Q(x) + -0.25 <= x <= 0.5 + 2.75 <= x+3 <= 3.5 + Peak relative error 6.0e-37 */ +static const __float128 lgam3a = 6.93145751953125E-1Q; +static const __float128 lgam3b = 1.4286068203094172321214581765680755001344E-6Q; + +#define NRN3 9 +static const __float128 RN3[NRN3 + 1] = +{ + -4.813901815114776281494823863935820876670E11Q, + -8.425592975288250400493910291066881992620E11Q, + -6.228685507402467503655405482985516909157E11Q, + -2.531972054436786351403749276956707260499E11Q, + -6.170200796658926701311867484296426831687E10Q, + -9.211477458528156048231908798456365081135E9Q, + -8.251806236175037114064561038908691305583E8Q, + -4.147886355917831049939930101151160447495E7Q, + -1.010851868928346082547075956946476932162E6Q, + -8.333374463411801009783402800801201603736E3Q +}; +#define NRD3 9 +static const __float128 RD3[NRD3 + 1] = +{ + -5.216713843111675050627304523368029262450E11Q, + -8.014292925418308759369583419234079164391E11Q, + -5.180106858220030014546267824392678611990E11Q, + -1.830406975497439003897734969120997840011E11Q, + -3.845274631904879621945745960119924118925E10Q, + -4.891033385370523863288908070309417710903E9Q, + -3.670172254411328640353855768698287474282E8Q, + -1.505316381525727713026364396635522516989E7Q, + -2.856327162923716881454613540575964890347E5Q, + -1.622140448015769906847567212766206894547E3Q + /* 1.0E0Q */ +}; + + +/* log gamma(x+2.5) = log gamma(2.5) + x P(x)/Q(x) + -0.125 <= x <= 0.25 + 2.375 <= x+2.5 <= 2.75 */ +static const __float128 lgam2r5a = 2.8466796875E-1Q; +static const __float128 lgam2r5b = 1.4901722919159632494669682701924320137696E-5Q; +#define NRN2r5 8 +static const __float128 RN2r5[NRN2r5 + 1] = +{ + -4.676454313888335499356699817678862233205E9Q, + -9.361888347911187924389905984624216340639E9Q, + -7.695353600835685037920815799526540237703E9Q, + -3.364370100981509060441853085968900734521E9Q, + -8.449902011848163568670361316804900559863E8Q, + -1.225249050950801905108001246436783022179E8Q, + -9.732972931077110161639900388121650470926E6Q, + -3.695711763932153505623248207576425983573E5Q, + -4.717341584067827676530426007495274711306E3Q +}; +#define NRD2r5 8 +static const __float128 RD2r5[NRD2r5 + 1] = +{ + -6.650657966618993679456019224416926875619E9Q, + -1.099511409330635807899718829033488771623E10Q, + -7.482546968307837168164311101447116903148E9Q, + -2.702967190056506495988922973755870557217E9Q, + -5.570008176482922704972943389590409280950E8Q, + -6.536934032192792470926310043166993233231E7Q, + -4.101991193844953082400035444146067511725E6Q, + -1.174082735875715802334430481065526664020E5Q, + -9.932840389994157592102947657277692978511E2Q + /* 1.0E0Q */ +}; + + +/* log gamma(x+2) = x P(x)/Q(x) + -0.125 <= x <= +0.375 + 1.875 <= x+2 <= 2.375 + Peak relative error 4.6e-36 */ +#define NRN2 9 +static const __float128 RN2[NRN2 + 1] = +{ + -3.716661929737318153526921358113793421524E9Q, + -1.138816715030710406922819131397532331321E10Q, + -1.421017419363526524544402598734013569950E10Q, + -9.510432842542519665483662502132010331451E9Q, + -3.747528562099410197957514973274474767329E9Q, + -8.923565763363912474488712255317033616626E8Q, + -1.261396653700237624185350402781338231697E8Q, + -9.918402520255661797735331317081425749014E6Q, + -3.753996255897143855113273724233104768831E5Q, + -4.778761333044147141559311805999540765612E3Q +}; +#define NRD2 9 +static const __float128 RD2[NRD2 + 1] = +{ + -8.790916836764308497770359421351673950111E9Q, + -2.023108608053212516399197678553737477486E10Q, + -1.958067901852022239294231785363504458367E10Q, + -1.035515043621003101254252481625188704529E10Q, + -3.253884432621336737640841276619272224476E9Q, + -6.186383531162456814954947669274235815544E8Q, + -6.932557847749518463038934953605969951466E7Q, + -4.240731768287359608773351626528479703758E6Q, + -1.197343995089189188078944689846348116630E5Q, + -1.004622911670588064824904487064114090920E3Q +/* 1.0E0 */ +}; + + +/* log gamma(x+1.75) = log gamma(1.75) + x P(x)/Q(x) + -0.125 <= x <= +0.125 + 1.625 <= x+1.75 <= 1.875 + Peak relative error 9.2e-37 */ +static const __float128 lgam1r75a = -8.441162109375E-2Q; +static const __float128 lgam1r75b = 1.0500073264444042213965868602268256157604E-5Q; +#define NRN1r75 8 +static const __float128 RN1r75[NRN1r75 + 1] = +{ + -5.221061693929833937710891646275798251513E7Q, + -2.052466337474314812817883030472496436993E8Q, + -2.952718275974940270675670705084125640069E8Q, + -2.132294039648116684922965964126389017840E8Q, + -8.554103077186505960591321962207519908489E7Q, + -1.940250901348870867323943119132071960050E7Q, + -2.379394147112756860769336400290402208435E6Q, + -1.384060879999526222029386539622255797389E5Q, + -2.698453601378319296159355612094598695530E3Q +}; +#define NRD1r75 8 +static const __float128 RD1r75[NRD1r75 + 1] = +{ + -2.109754689501705828789976311354395393605E8Q, + -5.036651829232895725959911504899241062286E8Q, + -4.954234699418689764943486770327295098084E8Q, + -2.589558042412676610775157783898195339410E8Q, + -7.731476117252958268044969614034776883031E7Q, + -1.316721702252481296030801191240867486965E7Q, + -1.201296501404876774861190604303728810836E6Q, + -5.007966406976106636109459072523610273928E4Q, + -6.155817990560743422008969155276229018209E2Q + /* 1.0E0Q */ +}; + + +/* log gamma(x+x0) = y0 + x^2 P(x)/Q(x) + -0.0867 <= x <= +0.1634 + 1.374932... <= x+x0 <= 1.625032... + Peak relative error 4.0e-36 */ +static const __float128 x0a = 1.4616241455078125Q; +static const __float128 x0b = 7.9994605498412626595423257213002588621246E-6Q; +static const __float128 y0a = -1.21490478515625E-1Q; +static const __float128 y0b = 4.1879797753919044854428223084178486438269E-6Q; +#define NRN1r5 8 +static const __float128 RN1r5[NRN1r5 + 1] = +{ + 6.827103657233705798067415468881313128066E5Q, + 1.910041815932269464714909706705242148108E6Q, + 2.194344176925978377083808566251427771951E6Q, + 1.332921400100891472195055269688876427962E6Q, + 4.589080973377307211815655093824787123508E5Q, + 8.900334161263456942727083580232613796141E4Q, + 9.053840838306019753209127312097612455236E3Q, + 4.053367147553353374151852319743594873771E2Q, + 5.040631576303952022968949605613514584950E0Q +}; +#define NRD1r5 8 +static const __float128 RD1r5[NRD1r5 + 1] = +{ + 1.411036368843183477558773688484699813355E6Q, + 4.378121767236251950226362443134306184849E6Q, + 5.682322855631723455425929877581697918168E6Q, + 3.999065731556977782435009349967042222375E6Q, + 1.653651390456781293163585493620758410333E6Q, + 4.067774359067489605179546964969435858311E5Q, + 5.741463295366557346748361781768833633256E4Q, + 4.226404539738182992856094681115746692030E3Q, + 1.316980975410327975566999780608618774469E2Q, + /* 1.0E0Q */ +}; + + +/* log gamma(x+1.25) = log gamma(1.25) + x P(x)/Q(x) + -.125 <= x <= +.125 + 1.125 <= x+1.25 <= 1.375 + Peak relative error = 4.9e-36 */ +static const __float128 lgam1r25a = -9.82818603515625E-2Q; +static const __float128 lgam1r25b = 1.0023929749338536146197303364159774377296E-5Q; +#define NRN1r25 9 +static const __float128 RN1r25[NRN1r25 + 1] = +{ + -9.054787275312026472896002240379580536760E4Q, + -8.685076892989927640126560802094680794471E4Q, + 2.797898965448019916967849727279076547109E5Q, + 6.175520827134342734546868356396008898299E5Q, + 5.179626599589134831538516906517372619641E5Q, + 2.253076616239043944538380039205558242161E5Q, + 5.312653119599957228630544772499197307195E4Q, + 6.434329437514083776052669599834938898255E3Q, + 3.385414416983114598582554037612347549220E2Q, + 4.907821957946273805080625052510832015792E0Q +}; +#define NRD1r25 8 +static const __float128 RD1r25[NRD1r25 + 1] = +{ + 3.980939377333448005389084785896660309000E5Q, + 1.429634893085231519692365775184490465542E6Q, + 2.145438946455476062850151428438668234336E6Q, + 1.743786661358280837020848127465970357893E6Q, + 8.316364251289743923178092656080441655273E5Q, + 2.355732939106812496699621491135458324294E5Q, + 3.822267399625696880571810137601310855419E4Q, + 3.228463206479133236028576845538387620856E3Q, + 1.152133170470059555646301189220117965514E2Q + /* 1.0E0Q */ +}; + + +/* log gamma(x + 1) = x P(x)/Q(x) + 0.0 <= x <= +0.125 + 1.0 <= x+1 <= 1.125 + Peak relative error 1.1e-35 */ +#define NRN1 8 +static const __float128 RN1[NRN1 + 1] = +{ + -9.987560186094800756471055681088744738818E3Q, + -2.506039379419574361949680225279376329742E4Q, + -1.386770737662176516403363873617457652991E4Q, + 1.439445846078103202928677244188837130744E4Q, + 2.159612048879650471489449668295139990693E4Q, + 1.047439813638144485276023138173676047079E4Q, + 2.250316398054332592560412486630769139961E3Q, + 1.958510425467720733041971651126443864041E2Q, + 4.516830313569454663374271993200291219855E0Q +}; +#define NRD1 7 +static const __float128 RD1[NRD1 + 1] = +{ + 1.730299573175751778863269333703788214547E4Q, + 6.807080914851328611903744668028014678148E4Q, + 1.090071629101496938655806063184092302439E5Q, + 9.124354356415154289343303999616003884080E4Q, + 4.262071638655772404431164427024003253954E4Q, + 1.096981664067373953673982635805821283581E4Q, + 1.431229503796575892151252708527595787588E3Q, + 7.734110684303689320830401788262295992921E1Q + /* 1.0E0 */ +}; + + +/* log gamma(x + 1) = x P(x)/Q(x) + -0.125 <= x <= 0 + 0.875 <= x+1 <= 1.0 + Peak relative error 7.0e-37 */ +#define NRNr9 8 +static const __float128 RNr9[NRNr9 + 1] = +{ + 4.441379198241760069548832023257571176884E5Q, + 1.273072988367176540909122090089580368732E6Q, + 9.732422305818501557502584486510048387724E5Q, + -5.040539994443998275271644292272870348684E5Q, + -1.208719055525609446357448132109723786736E6Q, + -7.434275365370936547146540554419058907156E5Q, + -2.075642969983377738209203358199008185741E5Q, + -2.565534860781128618589288075109372218042E4Q, + -1.032901669542994124131223797515913955938E3Q, +}; +#define NRDr9 8 +static const __float128 RDr9[NRDr9 + 1] = +{ + -7.694488331323118759486182246005193998007E5Q, + -3.301918855321234414232308938454112213751E6Q, + -5.856830900232338906742924836032279404702E6Q, + -5.540672519616151584486240871424021377540E6Q, + -3.006530901041386626148342989181721176919E6Q, + -9.350378280513062139466966374330795935163E5Q, + -1.566179100031063346901755685375732739511E5Q, + -1.205016539620260779274902967231510804992E4Q, + -2.724583156305709733221564484006088794284E2Q +/* 1.0E0 */ +}; + + +/* Evaluate P[n] x^n + P[n-1] x^(n-1) + ... + P[0] */ + +static __float128 +neval (__float128 x, const __float128 *p, int n) +{ + __float128 y; + + p += n; + y = *p--; + do + { + y = y * x + *p--; + } + while (--n > 0); + return y; +} + + +/* Evaluate x^n+1 + P[n] x^(n) + P[n-1] x^(n-1) + ... + P[0] */ + +static __float128 +deval (__float128 x, const __float128 *p, int n) +{ + __float128 y; + + p += n; + y = x + *p--; + do + { + y = y * x + *p--; + } + while (--n > 0); + return y; +} + + +__float128 +lgammaq (__float128 x) +{ + __float128 p, q, w, z, nx; + int i, nn, sign; + + sign = 1; + + if (! finiteq (x)) + return x * x; + + if (x == 0.0Q) + { + if (signbitq (x)) + sign = -1; + } + + if (x < 0.0Q) + { + q = -x; + p = floorq (q); + if (p == q) + return (one / (p - p)); + i = p; + if ((i & 1) == 0) + sign = -1; + else + sign = 1; + z = q - p; + if (z > 0.5Q) + { + p += 1.0Q; + z = p - q; + } + z = q * sinq (PIQ * z); + if (z == 0.0Q) + return (sign * huge * huge); + w = lgammaq (q); + z = logq (PIQ / z) - w; + return (z); + } + + if (x < 13.5Q) + { + p = 0.0Q; + nx = floorq (x + 0.5Q); + nn = nx; + switch (nn) + { + case 0: + /* log gamma (x + 1) = log(x) + log gamma(x) */ + if (x <= 0.125) + { + p = x * neval (x, RN1, NRN1) / deval (x, RD1, NRD1); + } + else if (x <= 0.375) + { + z = x - 0.25Q; + p = z * neval (z, RN1r25, NRN1r25) / deval (z, RD1r25, NRD1r25); + p += lgam1r25b; + p += lgam1r25a; + } + else if (x <= 0.625) + { + z = x + (1.0Q - x0a); + z = z - x0b; + p = neval (z, RN1r5, NRN1r5) / deval (z, RD1r5, NRD1r5); + p = p * z * z; + p = p + y0b; + p = p + y0a; + } + else if (x <= 0.875) + { + z = x - 0.75Q; + p = z * neval (z, RN1r75, NRN1r75) / deval (z, RD1r75, NRD1r75); + p += lgam1r75b; + p += lgam1r75a; + } + else + { + z = x - 1.0Q; + p = z * neval (z, RN2, NRN2) / deval (z, RD2, NRD2); + } + p = p - logq (x); + break; + + case 1: + if (x < 0.875Q) + { + if (x <= 0.625) + { + z = x + (1.0Q - x0a); + z = z - x0b; + p = neval (z, RN1r5, NRN1r5) / deval (z, RD1r5, NRD1r5); + p = p * z * z; + p = p + y0b; + p = p + y0a; + } + else if (x <= 0.875) + { + z = x - 0.75Q; + p = z * neval (z, RN1r75, NRN1r75) + / deval (z, RD1r75, NRD1r75); + p += lgam1r75b; + p += lgam1r75a; + } + else + { + z = x - 1.0Q; + p = z * neval (z, RN2, NRN2) / deval (z, RD2, NRD2); + } + p = p - logq (x); + } + else if (x < 1.0Q) + { + z = x - 1.0Q; + p = z * neval (z, RNr9, NRNr9) / deval (z, RDr9, NRDr9); + } + else if (x == 1.0Q) + p = 0.0Q; + else if (x <= 1.125Q) + { + z = x - 1.0Q; + p = z * neval (z, RN1, NRN1) / deval (z, RD1, NRD1); + } + else if (x <= 1.375) + { + z = x - 1.25Q; + p = z * neval (z, RN1r25, NRN1r25) / deval (z, RD1r25, NRD1r25); + p += lgam1r25b; + p += lgam1r25a; + } + else + { + /* 1.375 <= x+x0 <= 1.625 */ + z = x - x0a; + z = z - x0b; + p = neval (z, RN1r5, NRN1r5) / deval (z, RD1r5, NRD1r5); + p = p * z * z; + p = p + y0b; + p = p + y0a; + } + break; + + case 2: + if (x < 1.625Q) + { + z = x - x0a; + z = z - x0b; + p = neval (z, RN1r5, NRN1r5) / deval (z, RD1r5, NRD1r5); + p = p * z * z; + p = p + y0b; + p = p + y0a; + } + else if (x < 1.875Q) + { + z = x - 1.75Q; + p = z * neval (z, RN1r75, NRN1r75) / deval (z, RD1r75, NRD1r75); + p += lgam1r75b; + p += lgam1r75a; + } + else if (x == 2.0Q) + p = 0.0Q; + else if (x < 2.375Q) + { + z = x - 2.0Q; + p = z * neval (z, RN2, NRN2) / deval (z, RD2, NRD2); + } + else + { + z = x - 2.5Q; + p = z * neval (z, RN2r5, NRN2r5) / deval (z, RD2r5, NRD2r5); + p += lgam2r5b; + p += lgam2r5a; + } + break; + + case 3: + if (x < 2.75) + { + z = x - 2.5Q; + p = z * neval (z, RN2r5, NRN2r5) / deval (z, RD2r5, NRD2r5); + p += lgam2r5b; + p += lgam2r5a; + } + else + { + z = x - 3.0Q; + p = z * neval (z, RN3, NRN3) / deval (z, RD3, NRD3); + p += lgam3b; + p += lgam3a; + } + break; + + case 4: + z = x - 4.0Q; + p = z * neval (z, RN4, NRN4) / deval (z, RD4, NRD4); + p += lgam4b; + p += lgam4a; + break; + + case 5: + z = x - 5.0Q; + p = z * neval (z, RN5, NRN5) / deval (z, RD5, NRD5); + p += lgam5b; + p += lgam5a; + break; + + case 6: + z = x - 6.0Q; + p = z * neval (z, RN6, NRN6) / deval (z, RD6, NRD6); + p += lgam6b; + p += lgam6a; + break; + + case 7: + z = x - 7.0Q; + p = z * neval (z, RN7, NRN7) / deval (z, RD7, NRD7); + p += lgam7b; + p += lgam7a; + break; + + case 8: + z = x - 8.0Q; + p = z * neval (z, RN8, NRN8) / deval (z, RD8, NRD8); + p += lgam8b; + p += lgam8a; + break; + + case 9: + z = x - 9.0Q; + p = z * neval (z, RN9, NRN9) / deval (z, RD9, NRD9); + p += lgam9b; + p += lgam9a; + break; + + case 10: + z = x - 10.0Q; + p = z * neval (z, RN10, NRN10) / deval (z, RD10, NRD10); + p += lgam10b; + p += lgam10a; + break; + + case 11: + z = x - 11.0Q; + p = z * neval (z, RN11, NRN11) / deval (z, RD11, NRD11); + p += lgam11b; + p += lgam11a; + break; + + case 12: + z = x - 12.0Q; + p = z * neval (z, RN12, NRN12) / deval (z, RD12, NRD12); + p += lgam12b; + p += lgam12a; + break; + + case 13: + z = x - 13.0Q; + p = z * neval (z, RN13, NRN13) / deval (z, RD13, NRD13); + p += lgam13b; + p += lgam13a; + break; + } + return p; + } + + if (x > MAXLGM) + return (sign * huge * huge); + + q = ls2pi - x; + q = (x - 0.5Q) * logq (x) + q; + if (x > 1.0e18Q) + return (q); + + p = 1.0Q / (x * x); + q += neval (p, RASY, NRASY) / x; + return (q); +} diff --git a/libquadmath/math/llrintq.c b/libquadmath/math/llrintq.c new file mode 100644 index 000000000..eef31d823 --- /dev/null +++ b/libquadmath/math/llrintq.c @@ -0,0 +1,71 @@ +/* Round argument to nearest integral value according to current rounding + direction. + Copyright (C) 1997, 1999, 2006 Free Software Foundation, Inc. + This file is part of the GNU C Library. + Contributed by Ulrich Drepper <drepper@cygnus.com>, 1997 and + Jakub Jelinek <jj@ultra.linux.cz>, 1999. + + The GNU C Library is free software; you can redistribute it and/or + modify it under the terms of the GNU Lesser General Public + License as published by the Free Software Foundation; either + version 2.1 of the License, or (at your option) any later version. + + The GNU C Library is distributed in the hope that it will be useful, + but WITHOUT ANY WARRANTY; without even the implied warranty of + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + Lesser General Public License for more details. + + You should have received a copy of the GNU Lesser General Public + License along with the GNU C Library; if not, write to the Free + Software Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA + 02111-1307 USA. */ + +#include "quadmath-imp.h" + +static const __float128 two112[2] = +{ + 5.19229685853482762853049632922009600E+33Q, /* 0x406F000000000000, 0 */ + -5.19229685853482762853049632922009600E+33Q /* 0xC06F000000000000, 0 */ +}; + +long long int +llrintq (__float128 x) +{ + int32_t j0; + uint64_t i0,i1; + volatile __float128 w; + __float128 t; + long long int result; + int sx; + + GET_FLT128_WORDS64 (i0, i1, x); + j0 = ((i0 >> 48) & 0x7fff) - 0x3fff; + sx = i0 >> 63; + i0 &= 0x0000ffffffffffffLL; + i0 |= 0x0001000000000000LL; + + if (j0 < (int32_t) (8 * sizeof (long long int)) - 1) + { + w = two112[sx] + x; + t = w - two112[sx]; + GET_FLT128_WORDS64 (i0, i1, t); + j0 = ((i0 >> 48) & 0x7fff) - 0x3fff; + i0 &= 0x0000ffffffffffffLL; + i0 |= 0x0001000000000000LL; + + if (j0 < 0) + result = 0; + else if (j0 <= 48) + result = i0 >> (48 - j0); + else + result = ((long long int) i0 << (j0 - 48)) | (i1 >> (112 - j0)); + } + else + { + /* The number is too large. It is left implementation defined + what happens. */ + return (long long int) x; + } + + return sx ? -result : result; +} diff --git a/libquadmath/math/llroundq.c b/libquadmath/math/llroundq.c new file mode 100644 index 000000000..c108e7ad1 --- /dev/null +++ b/libquadmath/math/llroundq.c @@ -0,0 +1,73 @@ +/* Round long double value to long long int. + Copyright (C) 1997, 1999, 2004 Free Software Foundation, Inc. + This file is part of the GNU C Library. + Contributed by Ulrich Drepper <drepper@cygnus.com>, 1997 and + Jakub Jelinek <jj@ultra.linux.cz>, 1999. + + The GNU C Library is free software; you can redistribute it and/or + modify it under the terms of the GNU Lesser General Public + License as published by the Free Software Foundation; either + version 2.1 of the License, or (at your option) any later version. + + The GNU C Library is distributed in the hope that it will be useful, + but WITHOUT ANY WARRANTY; without even the implied warranty of + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + Lesser General Public License for more details. + + You should have received a copy of the GNU Lesser General Public + License along with the GNU C Library; if not, write to the Free + Software Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA + 02111-1307 USA. */ + +#include "quadmath-imp.h" + + +long long int +llroundq (__float128 x) +{ + int64_t j0; + uint64_t i1, i0; + long long int result; + int sign; + + GET_FLT128_WORDS64 (i0, i1, x); + j0 = ((i0 >> 48) & 0x7fff) - 0x3fff; + sign = (i0 & 0x8000000000000000ULL) != 0 ? -1 : 1; + i0 &= 0x0000ffffffffffffLL; + i0 |= 0x0001000000000000LL; + + if (j0 < 48) + { + if (j0 < 0) + return j0 < -1 ? 0 : sign; + else + { + i0 += 0x0000800000000000LL >> j0; + result = i0 >> (48 - j0); + } + } + else if (j0 < (int32_t) (8 * sizeof (long long int)) - 1) + { + if (j0 >= 112) + result = ((long long int) i0 << (j0 - 48)) | (i1 << (j0 - 112)); + else + { + uint64_t j = i1 + (0x8000000000000000ULL >> (j0 - 48)); + if (j < i1) + ++i0; + + if (j0 == 48) + result = (long long int) i0; + else + result = ((long long int) i0 << (j0 - 48)) | (j >> (112 - j0)); + } + } + else + { + /* The number is too large. It is left implementation defined + what happens. */ + return (long long int) x; + } + + return sign * result; +} diff --git a/libquadmath/math/log10q.c b/libquadmath/math/log10q.c new file mode 100644 index 000000000..50caf18b7 --- /dev/null +++ b/libquadmath/math/log10q.c @@ -0,0 +1,256 @@ +/* log10l.c + * + * Common logarithm, 128-bit long double precision + * + * + * + * SYNOPSIS: + * + * long double x, y, log10l(); + * + * y = log10l( x ); + * + * + * + * DESCRIPTION: + * + * Returns the base 10 logarithm of x. + * + * The argument is separated into its exponent and fractional + * parts. If the exponent is between -1 and +1, the logarithm + * of the fraction is approximated by + * + * log(1+x) = x - 0.5 x^2 + x^3 P(x)/Q(x). + * + * Otherwise, setting z = 2(x-1)/x+1), + * + * log(x) = z + z^3 P(z)/Q(z). + * + * + * + * ACCURACY: + * + * Relative error: + * arithmetic domain # trials peak rms + * IEEE 0.5, 2.0 30000 2.3e-34 4.9e-35 + * IEEE exp(+-10000) 30000 1.0e-34 4.1e-35 + * + * In the tests over the interval exp(+-10000), the logarithms + * of the random arguments were uniformly distributed over + * [-10000, +10000]. + * + */ + +/* + Cephes Math Library Release 2.2: January, 1991 + Copyright 1984, 1991 by Stephen L. Moshier + Adapted for glibc November, 2001 + + This library is free software; you can redistribute it and/or + modify it under the terms of the GNU Lesser General Public + License as published by the Free Software Foundation; either + version 2.1 of the License, or (at your option) any later version. + + This library is distributed in the hope that it will be useful, + but WITHOUT ANY WARRANTY; without even the implied warranty of + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + Lesser General Public License for more details. + + You should have received a copy of the GNU Lesser General Public + License along with this library; if not, write to the Free Software + Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA + + */ + +#include "quadmath-imp.h" + +/* Coefficients for ln(1+x) = x - x**2/2 + x**3 P(x)/Q(x) + * 1/sqrt(2) <= x < sqrt(2) + * Theoretical peak relative error = 5.3e-37, + * relative peak error spread = 2.3e-14 + */ +static const __float128 P[13] = +{ + 1.313572404063446165910279910527789794488E4Q, + 7.771154681358524243729929227226708890930E4Q, + 2.014652742082537582487669938141683759923E5Q, + 3.007007295140399532324943111654767187848E5Q, + 2.854829159639697837788887080758954924001E5Q, + 1.797628303815655343403735250238293741397E5Q, + 7.594356839258970405033155585486712125861E4Q, + 2.128857716871515081352991964243375186031E4Q, + 3.824952356185897735160588078446136783779E3Q, + 4.114517881637811823002128927449878962058E2Q, + 2.321125933898420063925789532045674660756E1Q, + 4.998469661968096229986658302195402690910E-1Q, + 1.538612243596254322971797716843006400388E-6Q +}; +static const __float128 Q[12] = +{ + 3.940717212190338497730839731583397586124E4Q, + 2.626900195321832660448791748036714883242E5Q, + 7.777690340007566932935753241556479363645E5Q, + 1.347518538384329112529391120390701166528E6Q, + 1.514882452993549494932585972882995548426E6Q, + 1.158019977462989115839826904108208787040E6Q, + 6.132189329546557743179177159925690841200E5Q, + 2.248234257620569139969141618556349415120E5Q, + 5.605842085972455027590989944010492125825E4Q, + 9.147150349299596453976674231612674085381E3Q, + 9.104928120962988414618126155557301584078E2Q, + 4.839208193348159620282142911143429644326E1Q +/* 1.000000000000000000000000000000000000000E0Q, */ +}; + +/* Coefficients for log(x) = z + z^3 P(z^2)/Q(z^2), + * where z = 2(x-1)/(x+1) + * 1/sqrt(2) <= x < sqrt(2) + * Theoretical peak relative error = 1.1e-35, + * relative peak error spread 1.1e-9 + */ +static const __float128 R[6] = +{ + 1.418134209872192732479751274970992665513E5Q, + -8.977257995689735303686582344659576526998E4Q, + 2.048819892795278657810231591630928516206E4Q, + -2.024301798136027039250415126250455056397E3Q, + 8.057002716646055371965756206836056074715E1Q, + -8.828896441624934385266096344596648080902E-1Q +}; +static const __float128 S[6] = +{ + 1.701761051846631278975701529965589676574E6Q, + -1.332535117259762928288745111081235577029E6Q, + 4.001557694070773974936904547424676279307E5Q, + -5.748542087379434595104154610899551484314E4Q, + 3.998526750980007367835804959888064681098E3Q, + -1.186359407982897997337150403816839480438E2Q +/* 1.000000000000000000000000000000000000000E0Q, */ +}; + +static const __float128 +/* log10(2) */ +L102A = 0.3125Q, +L102B = -1.14700043360188047862611052755069732318101185E-2Q, +/* log10(e) */ +L10EA = 0.5Q, +L10EB = -6.570551809674817234887108108339491770560299E-2Q, +/* sqrt(2)/2 */ +SQRTH = 7.071067811865475244008443621048490392848359E-1Q; + + + +/* Evaluate P[n] x^n + P[n-1] x^(n-1) + ... + P[0] */ + +static __float128 +neval (__float128 x, const __float128 *p, int n) +{ + __float128 y; + + p += n; + y = *p--; + do + { + y = y * x + *p--; + } + while (--n > 0); + return y; +} + + +/* Evaluate x^n+1 + P[n] x^(n) + P[n-1] x^(n-1) + ... + P[0] */ + +static __float128 +deval (__float128 x, const __float128 *p, int n) +{ + __float128 y; + + p += n; + y = x + *p--; + do + { + y = y * x + *p--; + } + while (--n > 0); + return y; +} + + + +__float128 +log10q (__float128 x) +{ + __float128 z; + __float128 y; + int e; + int64_t hx, lx; + +/* Test for domain */ + GET_FLT128_WORDS64 (hx, lx, x); + if (((hx & 0x7fffffffffffffffLL) | lx) == 0) + return (-1.0Q / (x - x)); + if (hx < 0) + return (x - x) / (x - x); + if (hx >= 0x7fff000000000000LL) + return (x + x); + +/* separate mantissa from exponent */ + +/* Note, frexp is used so that denormal numbers + * will be handled properly. + */ + x = frexpq (x, &e); + + +/* logarithm using log(x) = z + z**3 P(z)/Q(z), + * where z = 2(x-1)/x+1) + */ + if ((e > 2) || (e < -2)) + { + if (x < SQRTH) + { /* 2( 2x-1 )/( 2x+1 ) */ + e -= 1; + z = x - 0.5Q; + y = 0.5Q * z + 0.5Q; + } + else + { /* 2 (x-1)/(x+1) */ + z = x - 0.5Q; + z -= 0.5Q; + y = 0.5Q * x + 0.5Q; + } + x = z / y; + z = x * x; + y = x * (z * neval (z, R, 5) / deval (z, S, 5)); + goto done; + } + + +/* logarithm using log(1+x) = x - .5x**2 + x**3 P(x)/Q(x) */ + + if (x < SQRTH) + { + e -= 1; + x = 2.0 * x - 1.0Q; /* 2x - 1 */ + } + else + { + x = x - 1.0Q; + } + z = x * x; + y = x * (z * neval (x, P, 12) / deval (x, Q, 11)); + y = y - 0.5 * z; + +done: + + /* Multiply log of fraction by log10(e) + * and base 2 exponent by log10(2). + */ + z = y * L10EB; + z += x * L10EB; + z += e * L102B; + z += y * L10EA; + z += x * L10EA; + z += e * L102A; + return (z); +} diff --git a/libquadmath/math/log1pq.c b/libquadmath/math/log1pq.c new file mode 100644 index 000000000..a466dc892 --- /dev/null +++ b/libquadmath/math/log1pq.c @@ -0,0 +1,244 @@ +/* log1pl.c + * + * Relative error logarithm + * Natural logarithm of 1+x, 128-bit long double precision + * + * + * + * SYNOPSIS: + * + * long double x, y, log1pl(); + * + * y = log1pl( x ); + * + * + * + * DESCRIPTION: + * + * Returns the base e (2.718...) logarithm of 1+x. + * + * The argument 1+x is separated into its exponent and fractional + * parts. If the exponent is between -1 and +1, the logarithm + * of the fraction is approximated by + * + * log(1+x) = x - 0.5 x^2 + x^3 P(x)/Q(x). + * + * Otherwise, setting z = 2(w-1)/(w+1), + * + * log(w) = z + z^3 P(z)/Q(z). + * + * + * + * ACCURACY: + * + * Relative error: + * arithmetic domain # trials peak rms + * IEEE -1, 8 100000 1.9e-34 4.3e-35 + */ + +/* Copyright 2001 by Stephen L. Moshier + + This library is free software; you can redistribute it and/or + modify it under the terms of the GNU Lesser General Public + License as published by the Free Software Foundation; either + version 2.1 of the License, or (at your option) any later version. + + This library is distributed in the hope that it will be useful, + but WITHOUT ANY WARRANTY; without even the implied warranty of + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + Lesser General Public License for more details. + + You should have received a copy of the GNU Lesser General Public + License along with this library; if not, write to the Free Software + Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA */ + + +#include "quadmath-imp.h" + +/* Coefficients for log(1+x) = x - x^2 / 2 + x^3 P(x)/Q(x) + * 1/sqrt(2) <= 1+x < sqrt(2) + * Theoretical peak relative error = 5.3e-37, + * relative peak error spread = 2.3e-14 + */ +static const __float128 + P12 = 1.538612243596254322971797716843006400388E-6Q, + P11 = 4.998469661968096229986658302195402690910E-1Q, + P10 = 2.321125933898420063925789532045674660756E1Q, + P9 = 4.114517881637811823002128927449878962058E2Q, + P8 = 3.824952356185897735160588078446136783779E3Q, + P7 = 2.128857716871515081352991964243375186031E4Q, + P6 = 7.594356839258970405033155585486712125861E4Q, + P5 = 1.797628303815655343403735250238293741397E5Q, + P4 = 2.854829159639697837788887080758954924001E5Q, + P3 = 3.007007295140399532324943111654767187848E5Q, + P2 = 2.014652742082537582487669938141683759923E5Q, + P1 = 7.771154681358524243729929227226708890930E4Q, + P0 = 1.313572404063446165910279910527789794488E4Q, + /* Q12 = 1.000000000000000000000000000000000000000E0Q, */ + Q11 = 4.839208193348159620282142911143429644326E1Q, + Q10 = 9.104928120962988414618126155557301584078E2Q, + Q9 = 9.147150349299596453976674231612674085381E3Q, + Q8 = 5.605842085972455027590989944010492125825E4Q, + Q7 = 2.248234257620569139969141618556349415120E5Q, + Q6 = 6.132189329546557743179177159925690841200E5Q, + Q5 = 1.158019977462989115839826904108208787040E6Q, + Q4 = 1.514882452993549494932585972882995548426E6Q, + Q3 = 1.347518538384329112529391120390701166528E6Q, + Q2 = 7.777690340007566932935753241556479363645E5Q, + Q1 = 2.626900195321832660448791748036714883242E5Q, + Q0 = 3.940717212190338497730839731583397586124E4Q; + +/* Coefficients for log(x) = z + z^3 P(z^2)/Q(z^2), + * where z = 2(x-1)/(x+1) + * 1/sqrt(2) <= x < sqrt(2) + * Theoretical peak relative error = 1.1e-35, + * relative peak error spread 1.1e-9 + */ +static const __float128 + R5 = -8.828896441624934385266096344596648080902E-1Q, + R4 = 8.057002716646055371965756206836056074715E1Q, + R3 = -2.024301798136027039250415126250455056397E3Q, + R2 = 2.048819892795278657810231591630928516206E4Q, + R1 = -8.977257995689735303686582344659576526998E4Q, + R0 = 1.418134209872192732479751274970992665513E5Q, + /* S6 = 1.000000000000000000000000000000000000000E0Q, */ + S5 = -1.186359407982897997337150403816839480438E2Q, + S4 = 3.998526750980007367835804959888064681098E3Q, + S3 = -5.748542087379434595104154610899551484314E4Q, + S2 = 4.001557694070773974936904547424676279307E5Q, + S1 = -1.332535117259762928288745111081235577029E6Q, + S0 = 1.701761051846631278975701529965589676574E6Q; + +/* C1 + C2 = ln 2 */ +static const __float128 C1 = 6.93145751953125E-1Q; +static const __float128 C2 = 1.428606820309417232121458176568075500134E-6Q; + +static const __float128 sqrth = 0.7071067811865475244008443621048490392848Q; +static const __float128 zero = 0.0Q; + + +__float128 +log1pq (__float128 xm1) +{ + __float128 x, y, z, r, s; + ieee854_float128 u; + int32_t hx; + int e; + + /* Test for NaN or infinity input. */ + u.value = xm1; + hx = u.words32.w0; + if (hx >= 0x7fff0000) + return xm1; + + /* log1p(+- 0) = +- 0. */ + if (((hx & 0x7fffffff) == 0) + && (u.words32.w1 | u.words32.w2 | u.words32.w3) == 0) + return xm1; + + x = xm1 + 1.0Q; + + /* log1p(-1) = -inf */ + if (x <= 0.0Q) + { + if (x == 0.0Q) + return (-1.0Q / (x - x)); + else + return (zero / (x - x)); + } + + /* Separate mantissa from exponent. */ + + /* Use frexp used so that denormal numbers will be handled properly. */ + x = frexpq (x, &e); + + /* Logarithm using log(x) = z + z^3 P(z^2)/Q(z^2), + where z = 2(x-1)/x+1). */ + if ((e > 2) || (e < -2)) + { + if (x < sqrth) + { /* 2( 2x-1 )/( 2x+1 ) */ + e -= 1; + z = x - 0.5Q; + y = 0.5Q * z + 0.5Q; + } + else + { /* 2 (x-1)/(x+1) */ + z = x - 0.5Q; + z -= 0.5Q; + y = 0.5Q * x + 0.5Q; + } + x = z / y; + z = x * x; + r = ((((R5 * z + + R4) * z + + R3) * z + + R2) * z + + R1) * z + + R0; + s = (((((z + + S5) * z + + S4) * z + + S3) * z + + S2) * z + + S1) * z + + S0; + z = x * (z * r / s); + z = z + e * C2; + z = z + x; + z = z + e * C1; + return (z); + } + + + /* Logarithm using log(1+x) = x - .5x^2 + x^3 P(x)/Q(x). */ + + if (x < sqrth) + { + e -= 1; + if (e != 0) + x = 2.0Q * x - 1.0Q; /* 2x - 1 */ + else + x = xm1; + } + else + { + if (e != 0) + x = x - 1.0Q; + else + x = xm1; + } + z = x * x; + r = (((((((((((P12 * x + + P11) * x + + P10) * x + + P9) * x + + P8) * x + + P7) * x + + P6) * x + + P5) * x + + P4) * x + + P3) * x + + P2) * x + + P1) * x + + P0; + s = (((((((((((x + + Q11) * x + + Q10) * x + + Q9) * x + + Q8) * x + + Q7) * x + + Q6) * x + + Q5) * x + + Q4) * x + + Q3) * x + + Q2) * x + + Q1) * x + + Q0; + y = x * (z * r / s); + y = y + e * C2; + z = y - 0.5Q * z; + z = z + x; + z = z + e * C1; + return (z); +} diff --git a/libquadmath/math/log2q.c b/libquadmath/math/log2q.c new file mode 100644 index 000000000..963b38c84 --- /dev/null +++ b/libquadmath/math/log2q.c @@ -0,0 +1,248 @@ +/* log2l.c + * Base 2 logarithm, 128-bit long double precision + * + * + * + * SYNOPSIS: + * + * long double x, y, log2l(); + * + * y = log2l( x ); + * + * + * + * DESCRIPTION: + * + * Returns the base 2 logarithm of x. + * + * The argument is separated into its exponent and fractional + * parts. If the exponent is between -1 and +1, the (natural) + * logarithm of the fraction is approximated by + * + * log(1+x) = x - 0.5 x^2 + x^3 P(x)/Q(x). + * + * Otherwise, setting z = 2(x-1)/x+1), + * + * log(x) = z + z^3 P(z)/Q(z). + * + * + * + * ACCURACY: + * + * Relative error: + * arithmetic domain # trials peak rms + * IEEE 0.5, 2.0 100,000 2.6e-34 4.9e-35 + * IEEE exp(+-10000) 100,000 9.6e-35 4.0e-35 + * + * In the tests over the interval exp(+-10000), the logarithms + * of the random arguments were uniformly distributed over + * [-10000, +10000]. + * + */ + +/* + Cephes Math Library Release 2.2: January, 1991 + Copyright 1984, 1991 by Stephen L. Moshier + Adapted for glibc November, 2001 + + This library is free software; you can redistribute it and/or + modify it under the terms of the GNU Lesser General Public + License as published by the Free Software Foundation; either + version 2.1 of the License, or (at your option) any later version. + + This library is distributed in the hope that it will be useful, + but WITHOUT ANY WARRANTY; without even the implied warranty of + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + Lesser General Public License for more details. + + You should have received a copy of the GNU Lesser General Public + License along with this library; if not, write to the Free Software + Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA + */ + +#include "quadmath-imp.h" + +/* Coefficients for ln(1+x) = x - x**2/2 + x**3 P(x)/Q(x) + * 1/sqrt(2) <= x < sqrt(2) + * Theoretical peak relative error = 5.3e-37, + * relative peak error spread = 2.3e-14 + */ +static const __float128 P[13] = +{ + 1.313572404063446165910279910527789794488E4Q, + 7.771154681358524243729929227226708890930E4Q, + 2.014652742082537582487669938141683759923E5Q, + 3.007007295140399532324943111654767187848E5Q, + 2.854829159639697837788887080758954924001E5Q, + 1.797628303815655343403735250238293741397E5Q, + 7.594356839258970405033155585486712125861E4Q, + 2.128857716871515081352991964243375186031E4Q, + 3.824952356185897735160588078446136783779E3Q, + 4.114517881637811823002128927449878962058E2Q, + 2.321125933898420063925789532045674660756E1Q, + 4.998469661968096229986658302195402690910E-1Q, + 1.538612243596254322971797716843006400388E-6Q +}; +static const __float128 Q[12] = +{ + 3.940717212190338497730839731583397586124E4Q, + 2.626900195321832660448791748036714883242E5Q, + 7.777690340007566932935753241556479363645E5Q, + 1.347518538384329112529391120390701166528E6Q, + 1.514882452993549494932585972882995548426E6Q, + 1.158019977462989115839826904108208787040E6Q, + 6.132189329546557743179177159925690841200E5Q, + 2.248234257620569139969141618556349415120E5Q, + 5.605842085972455027590989944010492125825E4Q, + 9.147150349299596453976674231612674085381E3Q, + 9.104928120962988414618126155557301584078E2Q, + 4.839208193348159620282142911143429644326E1Q +/* 1.000000000000000000000000000000000000000E0Q, */ +}; + +/* Coefficients for log(x) = z + z^3 P(z^2)/Q(z^2), + * where z = 2(x-1)/(x+1) + * 1/sqrt(2) <= x < sqrt(2) + * Theoretical peak relative error = 1.1e-35, + * relative peak error spread 1.1e-9 + */ +static const __float128 R[6] = +{ + 1.418134209872192732479751274970992665513E5Q, + -8.977257995689735303686582344659576526998E4Q, + 2.048819892795278657810231591630928516206E4Q, + -2.024301798136027039250415126250455056397E3Q, + 8.057002716646055371965756206836056074715E1Q, + -8.828896441624934385266096344596648080902E-1Q +}; +static const __float128 S[6] = +{ + 1.701761051846631278975701529965589676574E6Q, + -1.332535117259762928288745111081235577029E6Q, + 4.001557694070773974936904547424676279307E5Q, + -5.748542087379434595104154610899551484314E4Q, + 3.998526750980007367835804959888064681098E3Q, + -1.186359407982897997337150403816839480438E2Q +/* 1.000000000000000000000000000000000000000E0Q, */ +}; + +static const __float128 +/* log2(e) - 1 */ +LOG2EA = 4.4269504088896340735992468100189213742664595E-1Q, +/* sqrt(2)/2 */ +SQRTH = 7.071067811865475244008443621048490392848359E-1Q; + + +/* Evaluate P[n] x^n + P[n-1] x^(n-1) + ... + P[0] */ + +static __float128 +neval (__float128 x, const __float128 *p, int n) +{ + __float128 y; + + p += n; + y = *p--; + do + { + y = y * x + *p--; + } + while (--n > 0); + return y; +} + + +/* Evaluate x^n+1 + P[n] x^(n) + P[n-1] x^(n-1) + ... + P[0] */ + +static __float128 +deval (__float128 x, const __float128 *p, int n) +{ + __float128 y; + + p += n; + y = x + *p--; + do + { + y = y * x + *p--; + } + while (--n > 0); + return y; +} + + + +__float128 +log2q (__float128 x) +{ + __float128 z; + __float128 y; + int e; + int64_t hx, lx; + +/* Test for domain */ + GET_FLT128_WORDS64 (hx, lx, x); + if (((hx & 0x7fffffffffffffffLL) | lx) == 0) + return (-1.0Q / (x - x)); + if (hx < 0) + return (x - x) / (x - x); + if (hx >= 0x7fff000000000000LL) + return (x + x); + +/* separate mantissa from exponent */ + +/* Note, frexp is used so that denormal numbers + * will be handled properly. + */ + x = frexpq (x, &e); + + +/* logarithm using log(x) = z + z**3 P(z)/Q(z), + * where z = 2(x-1)/x+1) + */ + if ((e > 2) || (e < -2)) + { + if (x < SQRTH) + { /* 2( 2x-1 )/( 2x+1 ) */ + e -= 1; + z = x - 0.5Q; + y = 0.5Q * z + 0.5Q; + } + else + { /* 2 (x-1)/(x+1) */ + z = x - 0.5Q; + z -= 0.5Q; + y = 0.5Q * x + 0.5Q; + } + x = z / y; + z = x * x; + y = x * (z * neval (z, R, 5) / deval (z, S, 5)); + goto done; + } + + +/* logarithm using log(1+x) = x - .5x**2 + x**3 P(x)/Q(x) */ + + if (x < SQRTH) + { + e -= 1; + x = 2.0 * x - 1.0Q; /* 2x - 1 */ + } + else + { + x = x - 1.0Q; + } + z = x * x; + y = x * (z * neval (x, P, 12) / deval (x, Q, 11)); + y = y - 0.5 * z; + +done: + +/* Multiply log of fraction by log2(e) + * and base 2 exponent by 1 + */ + z = y * LOG2EA; + z += x * LOG2EA; + z += y; + z += x; + z += e; + return (z); +} diff --git a/libquadmath/math/logq.c b/libquadmath/math/logq.c new file mode 100644 index 000000000..cd1a48631 --- /dev/null +++ b/libquadmath/math/logq.c @@ -0,0 +1,279 @@ +/* logll.c + * + * Natural logarithm for 128-bit long double precision. + * + * + * + * SYNOPSIS: + * + * long double x, y, logl(); + * + * y = logl( x ); + * + * + * + * DESCRIPTION: + * + * Returns the base e (2.718...) logarithm of x. + * + * The argument is separated into its exponent and fractional + * parts. Use of a lookup table increases the speed of the routine. + * The program uses logarithms tabulated at intervals of 1/128 to + * cover the domain from approximately 0.7 to 1.4. + * + * On the interval [-1/128, +1/128] the logarithm of 1+x is approximated by + * log(1+x) = x - 0.5 x^2 + x^3 P(x) . + * + * + * + * ACCURACY: + * + * Relative error: + * arithmetic domain # trials peak rms + * IEEE 0.875, 1.125 100000 1.2e-34 4.1e-35 + * IEEE 0.125, 8 100000 1.2e-34 4.1e-35 + * + * + * WARNING: + * + * This program uses integer operations on bit fields of floating-point + * numbers. It does not work with data structures other than the + * structure assumed. + * + */ + +/* Copyright 2001 by Stephen L. Moshier <moshier@na-net.ornl.gov> + + This library is free software; you can redistribute it and/or + modify it under the terms of the GNU Lesser General Public + License as published by the Free Software Foundation; either + version 2.1 of the License, or (at your option) any later version. + + This library is distributed in the hope that it will be useful, + but WITHOUT ANY WARRANTY; without even the implied warranty of + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + Lesser General Public License for more details. + + You should have received a copy of the GNU Lesser General Public + License along with this library; if not, write to the Free Software + Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA */ + +#include "quadmath-imp.h" + +/* log(1+x) = x - .5 x^2 + x^3 l(x) + -.0078125 <= x <= +.0078125 + peak relative error 1.2e-37 */ +static const __float128 +l3 = 3.333333333333333333333333333333336096926E-1Q, +l4 = -2.499999999999999999999999999486853077002E-1Q, +l5 = 1.999999999999999999999999998515277861905E-1Q, +l6 = -1.666666666666666666666798448356171665678E-1Q, +l7 = 1.428571428571428571428808945895490721564E-1Q, +l8 = -1.249999999999999987884655626377588149000E-1Q, +l9 = 1.111111111111111093947834982832456459186E-1Q, +l10 = -1.000000000000532974938900317952530453248E-1Q, +l11 = 9.090909090915566247008015301349979892689E-2Q, +l12 = -8.333333211818065121250921925397567745734E-2Q, +l13 = 7.692307559897661630807048686258659316091E-2Q, +l14 = -7.144242754190814657241902218399056829264E-2Q, +l15 = 6.668057591071739754844678883223432347481E-2Q; + +/* Lookup table of ln(t) - (t-1) + t = 0.5 + (k+26)/128) + k = 0, ..., 91 */ +static const __float128 logtbl[92] = { +-5.5345593589352099112142921677820359632418E-2Q, +-5.2108257402767124761784665198737642086148E-2Q, +-4.8991686870576856279407775480686721935120E-2Q, +-4.5993270766361228596215288742353061431071E-2Q, +-4.3110481649613269682442058976885699556950E-2Q, +-4.0340872319076331310838085093194799765520E-2Q, +-3.7682072451780927439219005993827431503510E-2Q, +-3.5131785416234343803903228503274262719586E-2Q, +-3.2687785249045246292687241862699949178831E-2Q, +-3.0347913785027239068190798397055267411813E-2Q, +-2.8110077931525797884641940838507561326298E-2Q, +-2.5972247078357715036426583294246819637618E-2Q, +-2.3932450635346084858612873953407168217307E-2Q, +-2.1988775689981395152022535153795155900240E-2Q, +-2.0139364778244501615441044267387667496733E-2Q, +-1.8382413762093794819267536615342902718324E-2Q, +-1.6716169807550022358923589720001638093023E-2Q, +-1.5138929457710992616226033183958974965355E-2Q, +-1.3649036795397472900424896523305726435029E-2Q, +-1.2244881690473465543308397998034325468152E-2Q, +-1.0924898127200937840689817557742469105693E-2Q, +-9.6875626072830301572839422532631079809328E-3Q, +-8.5313926245226231463436209313499745894157E-3Q, +-7.4549452072765973384933565912143044991706E-3Q, +-6.4568155251217050991200599386801665681310E-3Q, +-5.5356355563671005131126851708522185605193E-3Q, +-4.6900728132525199028885749289712348829878E-3Q, +-3.9188291218610470766469347968659624282519E-3Q, +-3.2206394539524058873423550293617843896540E-3Q, +-2.5942708080877805657374888909297113032132E-3Q, +-2.0385211375711716729239156839929281289086E-3Q, +-1.5522183228760777967376942769773768850872E-3Q, +-1.1342191863606077520036253234446621373191E-3Q, +-7.8340854719967065861624024730268350459991E-4Q, +-4.9869831458030115699628274852562992756174E-4Q, +-2.7902661731604211834685052867305795169688E-4Q, +-1.2335696813916860754951146082826952093496E-4Q, +-3.0677461025892873184042490943581654591817E-5Q, +#define ZERO logtbl[38] + 0.0000000000000000000000000000000000000000E0Q, +-3.0359557945051052537099938863236321874198E-5Q, +-1.2081346403474584914595395755316412213151E-4Q, +-2.7044071846562177120083903771008342059094E-4Q, +-4.7834133324631162897179240322783590830326E-4Q, +-7.4363569786340080624467487620270965403695E-4Q, +-1.0654639687057968333207323853366578860679E-3Q, +-1.4429854811877171341298062134712230604279E-3Q, +-1.8753781835651574193938679595797367137975E-3Q, +-2.3618380914922506054347222273705859653658E-3Q, +-2.9015787624124743013946600163375853631299E-3Q, +-3.4938307889254087318399313316921940859043E-3Q, +-4.1378413103128673800485306215154712148146E-3Q, +-4.8328735414488877044289435125365629849599E-3Q, +-5.5782063183564351739381962360253116934243E-3Q, +-6.3731336597098858051938306767880719015261E-3Q, +-7.2169643436165454612058905294782949315193E-3Q, +-8.1090214990427641365934846191367315083867E-3Q, +-9.0486422112807274112838713105168375482480E-3Q, +-1.0035177140880864314674126398350812606841E-2Q, +-1.1067990155502102718064936259435676477423E-2Q, +-1.2146457974158024928196575103115488672416E-2Q, +-1.3269969823361415906628825374158424754308E-2Q, +-1.4437927104692837124388550722759686270765E-2Q, +-1.5649743073340777659901053944852735064621E-2Q, +-1.6904842527181702880599758489058031645317E-2Q, +-1.8202661505988007336096407340750378994209E-2Q, +-1.9542647000370545390701192438691126552961E-2Q, +-2.0924256670080119637427928803038530924742E-2Q, +-2.2346958571309108496179613803760727786257E-2Q, +-2.3810230892650362330447187267648486279460E-2Q, +-2.5313561699385640380910474255652501521033E-2Q, +-2.6856448685790244233704909690165496625399E-2Q, +-2.8438398935154170008519274953860128449036E-2Q, +-3.0058928687233090922411781058956589863039E-2Q, +-3.1717563112854831855692484086486099896614E-2Q, +-3.3413836095418743219397234253475252001090E-2Q, +-3.5147290019036555862676702093393332533702E-2Q, +-3.6917475563073933027920505457688955423688E-2Q, +-3.8723951502862058660874073462456610731178E-2Q, +-4.0566284516358241168330505467000838017425E-2Q, +-4.2444048996543693813649967076598766917965E-2Q, +-4.4356826869355401653098777649745233339196E-2Q, +-4.6304207416957323121106944474331029996141E-2Q, +-4.8285787106164123613318093945035804818364E-2Q, +-5.0301169421838218987124461766244507342648E-2Q, +-5.2349964705088137924875459464622098310997E-2Q, +-5.4431789996103111613753440311680967840214E-2Q, +-5.6546268881465384189752786409400404404794E-2Q, +-5.8693031345788023909329239565012647817664E-2Q, +-6.0871713627532018185577188079210189048340E-2Q, +-6.3081958078862169742820420185833800925568E-2Q, +-6.5323413029406789694910800219643791556918E-2Q, +-6.7595732653791419081537811574227049288168E-2Q +}; + +/* ln(2) = ln2a + ln2b with extended precision. */ +static const __float128 + ln2a = 6.93145751953125e-1Q, + ln2b = 1.4286068203094172321214581765680755001344E-6Q; + +__float128 +logq (__float128 x) +{ + __float128 z, y, w; + ieee854_float128 u, t; + unsigned int m; + int k, e; + + u.value = x; + m = u.words32.w0; + + /* Check for IEEE special cases. */ + k = m & 0x7fffffff; + /* log(0) = -infinity. */ + if ((k | u.words32.w1 | u.words32.w2 | u.words32.w3) == 0) + { + return -0.5Q / ZERO; + } + /* log ( x < 0 ) = NaN */ + if (m & 0x80000000) + { + return (x - x) / ZERO; + } + /* log (infinity or NaN) */ + if (k >= 0x7fff0000) + { + return x + x; + } + + /* Extract exponent and reduce domain to 0.703125 <= u < 1.40625 */ + e = (int) (m >> 16) - (int) 0x3ffe; + m &= 0xffff; + u.words32.w0 = m | 0x3ffe0000; + m |= 0x10000; + /* Find lookup table index k from high order bits of the significand. */ + if (m < 0x16800) + { + k = (m - 0xff00) >> 9; + /* t is the argument 0.5 + (k+26)/128 + of the nearest item to u in the lookup table. */ + t.words32.w0 = 0x3fff0000 + (k << 9); + t.words32.w1 = 0; + t.words32.w2 = 0; + t.words32.w3 = 0; + u.words32.w0 += 0x10000; + e -= 1; + k += 64; + } + else + { + k = (m - 0xfe00) >> 10; + t.words32.w0 = 0x3ffe0000 + (k << 10); + t.words32.w1 = 0; + t.words32.w2 = 0; + t.words32.w3 = 0; + } + /* On this interval the table is not used due to cancellation error. */ + if ((x <= 1.0078125Q) && (x >= 0.9921875Q)) + { + z = x - 1.0Q; + k = 64; + t.value = 1.0Q; + e = 0; + } + else + { + /* log(u) = log( t u/t ) = log(t) + log(u/t) + log(t) is tabulated in the lookup table. + Express log(u/t) = log(1+z), where z = u/t - 1 = (u-t)/t. + cf. Cody & Waite. */ + z = (u.value - t.value) / t.value; + } + /* Series expansion of log(1+z). */ + w = z * z; + y = ((((((((((((l15 * z + + l14) * z + + l13) * z + + l12) * z + + l11) * z + + l10) * z + + l9) * z + + l8) * z + + l7) * z + + l6) * z + + l5) * z + + l4) * z + + l3) * z * w; + y -= 0.5 * w; + y += e * ln2b; /* Base 2 exponent offset times ln(2). */ + y += z; + y += logtbl[k-26]; /* log(t) - (t-1) */ + y += (t.value - 1.0Q); + y += e * ln2a; + return y; +} diff --git a/libquadmath/math/lrintq.c b/libquadmath/math/lrintq.c new file mode 100644 index 000000000..d1497ae38 --- /dev/null +++ b/libquadmath/math/lrintq.c @@ -0,0 +1,85 @@ +/* Round argument to nearest integral value according to current rounding + direction. + Copyright (C) 1997, 1999, 2004, 2006 Free Software Foundation, Inc. + This file is part of the GNU C Library. + Contributed by Ulrich Drepper <drepper@cygnus.com>, 1997 and + Jakub Jelinek <jj@ultra.linux.cz>, 1999. + + The GNU C Library is free software; you can redistribute it and/or + modify it under the terms of the GNU Lesser General Public + License as published by the Free Software Foundation; either + version 2.1 of the License, or (at your option) any later version. + + The GNU C Library is distributed in the hope that it will be useful, + but WITHOUT ANY WARRANTY; without even the implied warranty of + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + Lesser General Public License for more details. + + You should have received a copy of the GNU Lesser General Public + License along with the GNU C Library; if not, write to the Free + Software Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA + 02111-1307 USA. */ + +#include "quadmath-imp.h" + +static const __float128 two112[2] = +{ + 5.19229685853482762853049632922009600E+33Q, /* 0x406F000000000000, 0 */ + -5.19229685853482762853049632922009600E+33Q /* 0xC06F000000000000, 0 */ +}; + +long int +lrintq (__float128 x) +{ + int32_t j0; + uint64_t i0,i1; + volatile __float128 w; + __float128 t; + long int result; + int sx; + + GET_FLT128_WORDS64 (i0, i1, x); + j0 = ((i0 >> 48) & 0x7fff) - 0x3fff; + sx = i0 >> 63; + i0 &= 0x0000ffffffffffffLL; + i0 |= 0x0001000000000000LL; + + if (j0 < 48) + { + w = two112[sx] + x; + t = w - two112[sx]; + GET_FLT128_WORDS64 (i0, i1, t); + j0 = ((i0 >> 48) & 0x7fff) - 0x3fff; + i0 &= 0x0000ffffffffffffLL; + i0 |= 0x0001000000000000LL; + + result = (j0 < 0 ? 0 : i0 >> (48 - j0)); + } + else if (j0 < (int32_t) (8 * sizeof (long int)) - 1) + { + if (j0 >= 112) + result = ((long int) i0 << (j0 - 48)) | (i1 << (j0 - 112)); + else + { + w = two112[sx] + x; + t = w - two112[sx]; + GET_FLT128_WORDS64 (i0, i1, t); + j0 = ((i0 >> 48) & 0x7fff) - 0x3fff; + i0 &= 0x0000ffffffffffffLL; + i0 |= 0x0001000000000000LL; + + if (j0 == 48) + result = (long int) i0; + else + result = ((long int) i0 << (j0 - 48)) | (i1 >> (112 - j0)); + } + } + else + { + /* The number is too large. It is left implementation defined + what happens. */ + return (long int) x; + } + + return sx ? -result : result; +} diff --git a/libquadmath/math/lroundq.c b/libquadmath/math/lroundq.c new file mode 100644 index 000000000..4b12d2452 --- /dev/null +++ b/libquadmath/math/lroundq.c @@ -0,0 +1,73 @@ +/* Round long double value to long int. + Copyright (C) 1997, 1999, 2004 Free Software Foundation, Inc. + This file is part of the GNU C Library. + Contributed by Ulrich Drepper <drepper@cygnus.com>, 1997 and + Jakub Jelinek <jj@ultra.linux.cz>, 1999. + + The GNU C Library is free software; you can redistribute it and/or + modify it under the terms of the GNU Lesser General Public + License as published by the Free Software Foundation; either + version 2.1 of the License, or (at your option) any later version. + + The GNU C Library is distributed in the hope that it will be useful, + but WITHOUT ANY WARRANTY; without even the implied warranty of + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + Lesser General Public License for more details. + + You should have received a copy of the GNU Lesser General Public + License along with the GNU C Library; if not, write to the Free + Software Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA + 02111-1307 USA. */ + +#include "quadmath-imp.h" + + +long int +lroundq (__float128 x) +{ + int64_t j0; + uint64_t i1, i0; + long int result; + int sign; + + GET_FLT128_WORDS64 (i0, i1, x); + j0 = ((i0 >> 48) & 0x7fff) - 0x3fff; + sign = (i0 & 0x8000000000000000ULL) != 0 ? -1 : 1; + i0 &= 0x0000ffffffffffffLL; + i0 |= 0x0001000000000000LL; + + if (j0 < 48) + { + if (j0 < 0) + return j0 < -1 ? 0 : sign; + else + { + i0 += 0x0000800000000000LL >> j0; + result = i0 >> (48 - j0); + } + } + else if (j0 < (int32_t) (8 * sizeof (long int)) - 1) + { + if (j0 >= 112) + result = ((long int) i0 << (j0 - 48)) | (i1 << (j0 - 112)); + else + { + uint64_t j = i1 + (0x8000000000000000ULL >> (j0 - 48)); + if (j < i1) + ++i0; + + if (j0 == 48) + result = (long int) i0; + else + result = ((long int) i0 << (j0 - 48)) | (j >> (112 - j0)); + } + } + else + { + /* The number is too large. It is left implementation defined + what happens. */ + return (long int) x; + } + + return sign * result; +} diff --git a/libquadmath/math/modfq.c b/libquadmath/math/modfq.c new file mode 100644 index 000000000..dc564fe35 --- /dev/null +++ b/libquadmath/math/modfq.c @@ -0,0 +1,64 @@ +/* s_modfl.c -- long double version of s_modf.c. + * Conversion to IEEE quad long double by Jakub Jelinek, jj@ultra.linux.cz. + */ + +/* + * ==================================================== + * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. + * + * Developed at SunPro, a Sun Microsystems, Inc. business. + * Permission to use, copy, modify, and distribute this + * software is freely granted, provided that this notice + * is preserved. + * ==================================================== + */ + +#include "quadmath-imp.h" + +static const __float128 one = 1.0; + +__float128 +modfq (__float128 x, __float128 *iptr) +{ + int64_t i0,i1,j0; + uint64_t i; + GET_FLT128_WORDS64(i0,i1,x); + j0 = ((i0>>48)&0x7fff)-0x3fff; /* exponent of x */ + if(j0<48) { /* integer part in high x */ + if(j0<0) { /* |x|<1 */ + /* *iptr = +-0 */ + SET_FLT128_WORDS64(*iptr,i0&0x8000000000000000ULL,0); + return x; + } else { + i = (0x0000ffffffffffffLL)>>j0; + if(((i0&i)|i1)==0) { /* x is integral */ + *iptr = x; + /* return +-0 */ + SET_FLT128_WORDS64(x,i0&0x8000000000000000ULL,0); + return x; + } else { + SET_FLT128_WORDS64(*iptr,i0&(~i),0); + return x - *iptr; + } + } + } else if (j0>111) { /* no fraction part */ + *iptr = x*one; + /* We must handle NaNs separately. */ + if (j0 == 0x4000 && ((i0 & 0x0000ffffffffffffLL) | i1)) + return x*one; + /* return +-0 */ + SET_FLT128_WORDS64(x,i0&0x8000000000000000ULL,0); + return x; + } else { /* fraction part in low x */ + i = -1ULL>>(j0-48); + if((i1&i)==0) { /* x is integral */ + *iptr = x; + /* return +-0 */ + SET_FLT128_WORDS64(x,i0&0x8000000000000000ULL,0); + return x; + } else { + SET_FLT128_WORDS64(*iptr,i0,i1&(~i)); + return x - *iptr; + } + } +} diff --git a/libquadmath/math/nanq.c b/libquadmath/math/nanq.c new file mode 100644 index 000000000..bace47064 --- /dev/null +++ b/libquadmath/math/nanq.c @@ -0,0 +1,11 @@ +#include "quadmath-imp.h" + +__float128 +nanq (const char *tagp __attribute__ ((unused))) +{ + // FIXME -- we should use the argument + ieee854_float128 f; + f.ieee.exponent = 0x7fff; + f.ieee.mant_high = 0x1; + return f.value; +} diff --git a/libquadmath/math/nearbyintq.c b/libquadmath/math/nearbyintq.c new file mode 100644 index 000000000..8e92c5afd --- /dev/null +++ b/libquadmath/math/nearbyintq.c @@ -0,0 +1,98 @@ +/* nearbyintq.c -- __float128 version of s_nearbyint.c. + * Conversion to IEEE quad long double by Jakub Jelinek, jj@ultra.linux.cz. + */ + +/* + * ==================================================== + * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. + * + * Developed at SunPro, a Sun Microsystems, Inc. business. + * Permission to use, copy, modify, and distribute this + * software is freely granted, provided that this notice + * is preserved. + * ==================================================== + */ + +/* + * nearbyintq(x) + * Return x rounded to integral value according to the prevailing + * rounding mode. + * Method: + * Using floating addition. + * Exception: + * Inexact flag raised if x not equal to rintq(x). + */ + +#include "quadmath-imp.h" +#ifdef HAVE_FENV_H +# include <fenv.h> +# if defined HAVE_FEHOLDEXCEPT && defined HAVE_FESETENV +# define USE_FENV_H +# endif +#endif + +static const __float128 +TWO112[2]={ + 5.19229685853482762853049632922009600E+33Q, /* 0x406F000000000000, 0 */ + -5.19229685853482762853049632922009600E+33Q /* 0xC06F000000000000, 0 */ +}; + +__float128 +nearbyintq(__float128 x) +{ +#ifdef USE_FENV_H + fenv_t env; +#endif + int64_t i0,j0,sx; + uint64_t i,i1; + __float128 w,t; + GET_FLT128_WORDS64(i0,i1,x); + sx = (((uint64_t)i0)>>63); + j0 = ((i0>>48)&0x7fff)-0x3fff; + if(j0<48) { + if(j0<0) { + if(((i0&0x7fffffffffffffffLL)|i1)==0) return x; + i1 |= (i0&0x0000ffffffffffffLL); + i0 &= 0xffffe00000000000ULL; + i0 |= ((i1|-i1)>>16)&0x0000800000000000LL; + SET_FLT128_MSW64(x,i0); +#ifdef USE_FENV_H + feholdexcept (&env); +#endif + w = TWO112[sx]+x; + t = w-TWO112[sx]; +#ifdef USE_FENV_H + fesetenv (&env); +#endif + GET_FLT128_MSW64(i0,t); + SET_FLT128_MSW64(t,(i0&0x7fffffffffffffffLL)|(sx<<63)); + return t; + } else { + i = (0x0000ffffffffffffLL)>>j0; + if(((i0&i)|i1)==0) return x; /* x is integral */ + i>>=1; + if(((i0&i)|i1)!=0) { + if(j0==47) i1 = 0x4000000000000000ULL; else + i0 = (i0&(~i))|((0x0000200000000000LL)>>j0); + } + } + } else if (j0>111) { + if(j0==0x4000) return x+x; /* inf or NaN */ + else return x; /* x is integral */ + } else { + i = -1ULL>>(j0-48); + if((i1&i)==0) return x; /* x is integral */ + i>>=1; + if((i1&i)!=0) i1 = (i1&(~i))|((0x4000000000000000LL)>>(j0-48)); + } + SET_FLT128_WORDS64(x,i0,i1); +#ifdef USE_FENV_H + feholdexcept (&env); +#endif + w = TWO112[sx]+x; + t = w-TWO112[sx]; +#ifdef USE_FENV_H + fesetenv (&env); +#endif + return t; +} diff --git a/libquadmath/math/nextafterq.c b/libquadmath/math/nextafterq.c new file mode 100644 index 000000000..01bfa6579 --- /dev/null +++ b/libquadmath/math/nextafterq.c @@ -0,0 +1,63 @@ +/* s_nextafterl.c -- long double version of s_nextafter.c. + * Conversion to IEEE quad long double by Jakub Jelinek, jj@ultra.linux.cz. + */ + +/* + * ==================================================== + * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. + * + * Developed at SunPro, a Sun Microsystems, Inc. business. + * Permission to use, copy, modify, and distribute this + * software is freely granted, provided that this notice + * is preserved. + * ==================================================== + */ + +#include "quadmath-imp.h" + +__float128 +nextafterq (__float128 x, __float128 y) +{ + int64_t hx,hy,ix,iy; + uint64_t lx,ly; + + GET_FLT128_WORDS64(hx,lx,x); + GET_FLT128_WORDS64(hy,ly,y); + ix = hx&0x7fffffffffffffffLL; /* |x| */ + iy = hy&0x7fffffffffffffffLL; /* |y| */ + + if(((ix>=0x7fff000000000000LL)&&((ix-0x7fff000000000000LL)|lx)!=0) || /* x is nan */ + ((iy>=0x7fff000000000000LL)&&((iy-0x7fff000000000000LL)|ly)!=0)) /* y is nan */ + return x+y; + if(x==y) return y; /* x=y, return y */ + if((ix|lx)==0) { /* x == 0 */ + SET_FLT128_WORDS64(x,hy&0x8000000000000000ULL,1);/* return +-minsubnormal */ + + /* here we should raise an underflow flag */ + return x; + } + if(hx>=0) { /* x > 0 */ + if(hx>hy||((hx==hy)&&(lx>ly))) { /* x > y, x -= ulp */ + if(lx==0) hx--; + lx--; + } else { /* x < y, x += ulp */ + lx++; + if(lx==0) hx++; + } + } else { /* x < 0 */ + if(hy>=0||hx>hy||((hx==hy)&&(lx>ly))){/* x < y, x -= ulp */ + if(lx==0) hx--; + lx--; + } else { /* x > y, x += ulp */ + lx++; + if(lx==0) hx++; + } + } + hy = hx&0x7fff000000000000LL; + if(hy==0x7fff000000000000LL) return x+x;/* overflow */ + if(hy==0) { + /* here we should raise an underflow flag */ + } + SET_FLT128_WORDS64(x,hx,lx); + return x; +} diff --git a/libquadmath/math/powq.c b/libquadmath/math/powq.c new file mode 100644 index 000000000..d38632438 --- /dev/null +++ b/libquadmath/math/powq.c @@ -0,0 +1,440 @@ +/* + * ==================================================== + * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. + * + * Developed at SunPro, a Sun Microsystems, Inc. business. + * Permission to use, copy, modify, and distribute this + * software is freely granted, provided that this notice + * is preserved. + * ==================================================== + */ + +/* Expansions and modifications for 128-bit long double are + Copyright (C) 2001 Stephen L. Moshier <moshier@na-net.ornl.gov> + and are incorporated herein by permission of the author. The author + reserves the right to distribute this material elsewhere under different + copying permissions. These modifications are distributed here under + the following terms: + + This library is free software; you can redistribute it and/or + modify it under the terms of the GNU Lesser General Public + License as published by the Free Software Foundation; either + version 2.1 of the License, or (at your option) any later version. + + This library is distributed in the hope that it will be useful, + but WITHOUT ANY WARRANTY; without even the implied warranty of + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + Lesser General Public License for more details. + + You should have received a copy of the GNU Lesser General Public + License along with this library; if not, write to the Free Software + Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA */ + +/* __ieee754_powl(x,y) return x**y + * + * n + * Method: Let x = 2 * (1+f) + * 1. Compute and return log2(x) in two pieces: + * log2(x) = w1 + w2, + * where w1 has 113-53 = 60 bit trailing zeros. + * 2. Perform y*log2(x) = n+y' by simulating muti-precision + * arithmetic, where |y'|<=0.5. + * 3. Return x**y = 2**n*exp(y'*log2) + * + * Special cases: + * 1. (anything) ** 0 is 1 + * 2. (anything) ** 1 is itself + * 3. (anything) ** NAN is NAN + * 4. NAN ** (anything except 0) is NAN + * 5. +-(|x| > 1) ** +INF is +INF + * 6. +-(|x| > 1) ** -INF is +0 + * 7. +-(|x| < 1) ** +INF is +0 + * 8. +-(|x| < 1) ** -INF is +INF + * 9. +-1 ** +-INF is NAN + * 10. +0 ** (+anything except 0, NAN) is +0 + * 11. -0 ** (+anything except 0, NAN, odd integer) is +0 + * 12. +0 ** (-anything except 0, NAN) is +INF + * 13. -0 ** (-anything except 0, NAN, odd integer) is +INF + * 14. -0 ** (odd integer) = -( +0 ** (odd integer) ) + * 15. +INF ** (+anything except 0,NAN) is +INF + * 16. +INF ** (-anything except 0,NAN) is +0 + * 17. -INF ** (anything) = -0 ** (-anything) + * 18. (-anything) ** (integer) is (-1)**(integer)*(+anything**integer) + * 19. (-anything except 0 and inf) ** (non-integer) is NAN + * + */ + +#include "quadmath-imp.h" + +static const __float128 bp[] = { + 1.0Q, + 1.5Q, +}; + +/* log_2(1.5) */ +static const __float128 dp_h[] = { + 0.0, + 5.8496250072115607565592654282227158546448E-1Q +}; + +/* Low part of log_2(1.5) */ +static const __float128 dp_l[] = { + 0.0, + 1.0579781240112554492329533686862998106046E-16Q +}; + +static const __float128 zero = 0.0Q, + one = 1.0Q, + two = 2.0Q, + two113 = 1.0384593717069655257060992658440192E34Q, + huge = 1.0e3000Q, + tiny = 1.0e-3000Q; + +/* 3/2 log x = 3 z + z^3 + z^3 (z^2 R(z^2)) + z = (x-1)/(x+1) + 1 <= x <= 1.25 + Peak relative error 2.3e-37 */ +static const __float128 LN[] = +{ + -3.0779177200290054398792536829702930623200E1Q, + 6.5135778082209159921251824580292116201640E1Q, + -4.6312921812152436921591152809994014413540E1Q, + 1.2510208195629420304615674658258363295208E1Q, + -9.9266909031921425609179910128531667336670E-1Q +}; +static const __float128 LD[] = +{ + -5.129862866715009066465422805058933131960E1Q, + 1.452015077564081884387441590064272782044E2Q, + -1.524043275549860505277434040464085593165E2Q, + 7.236063513651544224319663428634139768808E1Q, + -1.494198912340228235853027849917095580053E1Q + /* 1.0E0 */ +}; + +/* exp(x) = 1 + x - x / (1 - 2 / (x - x^2 R(x^2))) + 0 <= x <= 0.5 + Peak relative error 5.7e-38 */ +static const __float128 PN[] = +{ + 5.081801691915377692446852383385968225675E8Q, + 9.360895299872484512023336636427675327355E6Q, + 4.213701282274196030811629773097579432957E4Q, + 5.201006511142748908655720086041570288182E1Q, + 9.088368420359444263703202925095675982530E-3Q, +}; +static const __float128 PD[] = +{ + 3.049081015149226615468111430031590411682E9Q, + 1.069833887183886839966085436512368982758E8Q, + 8.259257717868875207333991924545445705394E5Q, + 1.872583833284143212651746812884298360922E3Q, + /* 1.0E0 */ +}; + +static const __float128 + /* ln 2 */ + lg2 = 6.9314718055994530941723212145817656807550E-1Q, + lg2_h = 6.9314718055994528622676398299518041312695E-1Q, + lg2_l = 2.3190468138462996154948554638754786504121E-17Q, + ovt = 8.0085662595372944372e-0017Q, + /* 2/(3*log(2)) */ + cp = 9.6179669392597560490661645400126142495110E-1Q, + cp_h = 9.6179669392597555432899980587535537779331E-1Q, + cp_l = 5.0577616648125906047157785230014751039424E-17Q; + +__float128 +powq (__float128 x, __float128 y) +{ + __float128 z, ax, z_h, z_l, p_h, p_l; + __float128 y1, t1, t2, r, s, t, u, v, w; + __float128 s2, s_h, s_l, t_h, t_l; + int32_t i, j, k, yisint, n; + uint32_t ix, iy; + int32_t hx, hy; + ieee854_float128 o, p, q; + + p.value = x; + hx = p.words32.w0; + ix = hx & 0x7fffffff; + + q.value = y; + hy = q.words32.w0; + iy = hy & 0x7fffffff; + + + /* y==zero: x**0 = 1 */ + if ((iy | q.words32.w1 | q.words32.w2 | q.words32.w3) == 0) + return one; + + /* 1.0**y = 1; -1.0**+-Inf = 1 */ + if (x == one) + return one; + if (x == -1.0Q && iy == 0x7fff0000 + && (q.words32.w1 | q.words32.w2 | q.words32.w3) == 0) + return one; + + /* +-NaN return x+y */ + if ((ix > 0x7fff0000) + || ((ix == 0x7fff0000) + && ((p.words32.w1 | p.words32.w2 | p.words32.w3) != 0)) + || (iy > 0x7fff0000) + || ((iy == 0x7fff0000) + && ((q.words32.w1 | q.words32.w2 | q.words32.w3) != 0))) + return x + y; + + /* determine if y is an odd int when x < 0 + * yisint = 0 ... y is not an integer + * yisint = 1 ... y is an odd int + * yisint = 2 ... y is an even int + */ + yisint = 0; + if (hx < 0) + { + if (iy >= 0x40700000) /* 2^113 */ + yisint = 2; /* even integer y */ + else if (iy >= 0x3fff0000) /* 1.0 */ + { + if (floorq (y) == y) + { + z = 0.5 * y; + if (floorq (z) == z) + yisint = 2; + else + yisint = 1; + } + } + } + + /* special value of y */ + if ((q.words32.w1 | q.words32.w2 | q.words32.w3) == 0) + { + if (iy == 0x7fff0000) /* y is +-inf */ + { + if (((ix - 0x3fff0000) | p.words32.w1 | p.words32.w2 | p.words32.w3) + == 0) + return y - y; /* +-1**inf is NaN */ + else if (ix >= 0x3fff0000) /* (|x|>1)**+-inf = inf,0 */ + return (hy >= 0) ? y : zero; + else /* (|x|<1)**-,+inf = inf,0 */ + return (hy < 0) ? -y : zero; + } + if (iy == 0x3fff0000) + { /* y is +-1 */ + if (hy < 0) + return one / x; + else + return x; + } + if (hy == 0x40000000) + return x * x; /* y is 2 */ + if (hy == 0x3ffe0000) + { /* y is 0.5 */ + if (hx >= 0) /* x >= +0 */ + return sqrtq (x); + } + } + + ax = fabsq (x); + /* special value of x */ + if ((p.words32.w1 | p.words32.w2 | p.words32.w3) == 0) + { + if (ix == 0x7fff0000 || ix == 0 || ix == 0x3fff0000) + { + z = ax; /*x is +-0,+-inf,+-1 */ + if (hy < 0) + z = one / z; /* z = (1/|x|) */ + if (hx < 0) + { + if (((ix - 0x3fff0000) | yisint) == 0) + { + z = (z - z) / (z - z); /* (-1)**non-int is NaN */ + } + else if (yisint == 1) + z = -z; /* (x<0)**odd = -(|x|**odd) */ + } + return z; + } + } + + /* (x<0)**(non-int) is NaN */ + if (((((uint32_t) hx >> 31) - 1) | yisint) == 0) + return (x - x) / (x - x); + + /* |y| is huge. + 2^-16495 = 1/2 of smallest representable value. + If (1 - 1/131072)^y underflows, y > 1.4986e9 */ + if (iy > 0x401d654b) + { + /* if (1 - 2^-113)^y underflows, y > 1.1873e38 */ + if (iy > 0x407d654b) + { + if (ix <= 0x3ffeffff) + return (hy < 0) ? huge * huge : tiny * tiny; + if (ix >= 0x3fff0000) + return (hy > 0) ? huge * huge : tiny * tiny; + } + /* over/underflow if x is not close to one */ + if (ix < 0x3ffeffff) + return (hy < 0) ? huge * huge : tiny * tiny; + if (ix > 0x3fff0000) + return (hy > 0) ? huge * huge : tiny * tiny; + } + + n = 0; + /* take care subnormal number */ + if (ix < 0x00010000) + { + ax *= two113; + n -= 113; + o.value = ax; + ix = o.words32.w0; + } + n += ((ix) >> 16) - 0x3fff; + j = ix & 0x0000ffff; + /* determine interval */ + ix = j | 0x3fff0000; /* normalize ix */ + if (j <= 0x3988) + k = 0; /* |x|<sqrt(3/2) */ + else if (j < 0xbb67) + k = 1; /* |x|<sqrt(3) */ + else + { + k = 0; + n += 1; + ix -= 0x00010000; + } + + o.value = ax; + o.words32.w0 = ix; + ax = o.value; + + /* compute s = s_h+s_l = (x-1)/(x+1) or (x-1.5)/(x+1.5) */ + u = ax - bp[k]; /* bp[0]=1.0, bp[1]=1.5 */ + v = one / (ax + bp[k]); + s = u * v; + s_h = s; + + o.value = s_h; + o.words32.w3 = 0; + o.words32.w2 &= 0xf8000000; + s_h = o.value; + /* t_h=ax+bp[k] High */ + t_h = ax + bp[k]; + o.value = t_h; + o.words32.w3 = 0; + o.words32.w2 &= 0xf8000000; + t_h = o.value; + t_l = ax - (t_h - bp[k]); + s_l = v * ((u - s_h * t_h) - s_h * t_l); + /* compute log(ax) */ + s2 = s * s; + u = LN[0] + s2 * (LN[1] + s2 * (LN[2] + s2 * (LN[3] + s2 * LN[4]))); + v = LD[0] + s2 * (LD[1] + s2 * (LD[2] + s2 * (LD[3] + s2 * (LD[4] + s2)))); + r = s2 * s2 * u / v; + r += s_l * (s_h + s); + s2 = s_h * s_h; + t_h = 3.0 + s2 + r; + o.value = t_h; + o.words32.w3 = 0; + o.words32.w2 &= 0xf8000000; + t_h = o.value; + t_l = r - ((t_h - 3.0) - s2); + /* u+v = s*(1+...) */ + u = s_h * t_h; + v = s_l * t_h + t_l * s; + /* 2/(3log2)*(s+...) */ + p_h = u + v; + o.value = p_h; + o.words32.w3 = 0; + o.words32.w2 &= 0xf8000000; + p_h = o.value; + p_l = v - (p_h - u); + z_h = cp_h * p_h; /* cp_h+cp_l = 2/(3*log2) */ + z_l = cp_l * p_h + p_l * cp + dp_l[k]; + /* log2(ax) = (s+..)*2/(3*log2) = n + dp_h + z_h + z_l */ + t = (__float128) n; + t1 = (((z_h + z_l) + dp_h[k]) + t); + o.value = t1; + o.words32.w3 = 0; + o.words32.w2 &= 0xf8000000; + t1 = o.value; + t2 = z_l - (((t1 - t) - dp_h[k]) - z_h); + + /* s (sign of result -ve**odd) = -1 else = 1 */ + s = one; + if (((((uint32_t) hx >> 31) - 1) | (yisint - 1)) == 0) + s = -one; /* (-ve)**(odd int) */ + + /* split up y into y1+y2 and compute (y1+y2)*(t1+t2) */ + y1 = y; + o.value = y1; + o.words32.w3 = 0; + o.words32.w2 &= 0xf8000000; + y1 = o.value; + p_l = (y - y1) * t1 + y * t2; + p_h = y1 * t1; + z = p_l + p_h; + o.value = z; + j = o.words32.w0; + if (j >= 0x400d0000) /* z >= 16384 */ + { + /* if z > 16384 */ + if (((j - 0x400d0000) | o.words32.w1 | o.words32.w2 | o.words32.w3) != 0) + return s * huge * huge; /* overflow */ + else + { + if (p_l + ovt > z - p_h) + return s * huge * huge; /* overflow */ + } + } + else if ((j & 0x7fffffff) >= 0x400d01b9) /* z <= -16495 */ + { + /* z < -16495 */ + if (((j - 0xc00d01bc) | o.words32.w1 | o.words32.w2 | o.words32.w3) + != 0) + return s * tiny * tiny; /* underflow */ + else + { + if (p_l <= z - p_h) + return s * tiny * tiny; /* underflow */ + } + } + /* compute 2**(p_h+p_l) */ + i = j & 0x7fffffff; + k = (i >> 16) - 0x3fff; + n = 0; + if (i > 0x3ffe0000) + { /* if |z| > 0.5, set n = [z+0.5] */ + n = floorq (z + 0.5Q); + t = n; + p_h -= t; + } + t = p_l + p_h; + o.value = t; + o.words32.w3 = 0; + o.words32.w2 &= 0xf8000000; + t = o.value; + u = t * lg2_h; + v = (p_l - (t - p_h)) * lg2 + t * lg2_l; + z = u + v; + w = v - (z - u); + /* exp(z) */ + t = z * z; + u = PN[0] + t * (PN[1] + t * (PN[2] + t * (PN[3] + t * PN[4]))); + v = PD[0] + t * (PD[1] + t * (PD[2] + t * (PD[3] + t))); + t1 = z - t * u / v; + r = (z * t1) / (t1 - two) - (w + z * w); + z = one - (r - z); + o.value = z; + j = o.words32.w0; + j += (n << 16); + if ((j >> 16) <= 0) + z = scalbnq (z, n); /* subnormal output */ + else + { + o.words32.w0 = j; + z = o.value; + } + return s * z; +} diff --git a/libquadmath/math/rem_pio2q.c b/libquadmath/math/rem_pio2q.c new file mode 100644 index 000000000..47ee8ef20 --- /dev/null +++ b/libquadmath/math/rem_pio2q.c @@ -0,0 +1,587 @@ +#include "quadmath-imp.h" +#include <math.h> + + +/* @(#)k_rem_pio2.c 5.1 93/09/24 */ +/* + * ==================================================== + * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. + * + * Developed at SunPro, a Sun Microsystems, Inc. business. + * Permission to use, copy, modify, and distribute this + * software is freely granted, provided that this notice + * is preserved. + * ==================================================== + */ + +/* + * __kernel_rem_pio2(x,y,e0,nx,prec,ipio2) + * double x[],y[]; int e0,nx,prec; int ipio2[]; + * + * __kernel_rem_pio2 return the last three digits of N with + * y = x - N*pi/2 + * so that |y| < pi/2. + * + * The method is to compute the integer (mod 8) and fraction parts of + * (2/pi)*x without doing the full multiplication. In general we + * skip the part of the product that are known to be a huge integer ( + * more accurately, = 0 mod 8 ). Thus the number of operations are + * independent of the exponent of the input. + * + * (2/pi) is represented by an array of 24-bit integers in ipio2[]. + * + * Input parameters: + * x[] The input value (must be positive) is broken into nx + * pieces of 24-bit integers in double precision format. + * x[i] will be the i-th 24 bit of x. The scaled exponent + * of x[0] is given in input parameter e0 (i.e., x[0]*2^e0 + * match x's up to 24 bits. + * + * Example of breaking a double positive z into x[0]+x[1]+x[2]: + * e0 = ilogb(z)-23 + * z = scalbn(z,-e0) + * for i = 0,1,2 + * x[i] = floor(z) + * z = (z-x[i])*2**24 + * + * + * y[] ouput result in an array of double precision numbers. + * The dimension of y[] is: + * 24-bit precision 1 + * 53-bit precision 2 + * 64-bit precision 2 + * 113-bit precision 3 + * The actual value is the sum of them. Thus for 113-bit + * precision, one may have to do something like: + * + * long double t,w,r_head, r_tail; + * t = (long double)y[2] + (long double)y[1]; + * w = (long double)y[0]; + * r_head = t+w; + * r_tail = w - (r_head - t); + * + * e0 The exponent of x[0] + * + * nx dimension of x[] + * + * prec an integer indicating the precision: + * 0 24 bits (single) + * 1 53 bits (double) + * 2 64 bits (extended) + * 3 113 bits (quad) + * + * ipio2[] + * integer array, contains the (24*i)-th to (24*i+23)-th + * bit of 2/pi after binary point. The corresponding + * floating value is + * + * ipio2[i] * 2^(-24(i+1)). + * + * External function: + * double scalbn(), floor(); + * + * + * Here is the description of some local variables: + * + * jk jk+1 is the initial number of terms of ipio2[] needed + * in the computation. The recommended value is 2,3,4, + * 6 for single, double, extended,and quad. + * + * jz local integer variable indicating the number of + * terms of ipio2[] used. + * + * jx nx - 1 + * + * jv index for pointing to the suitable ipio2[] for the + * computation. In general, we want + * ( 2^e0*x[0] * ipio2[jv-1]*2^(-24jv) )/8 + * is an integer. Thus + * e0-3-24*jv >= 0 or (e0-3)/24 >= jv + * Hence jv = max(0,(e0-3)/24). + * + * jp jp+1 is the number of terms in PIo2[] needed, jp = jk. + * + * q[] double array with integral value, representing the + * 24-bits chunk of the product of x and 2/pi. + * + * q0 the corresponding exponent of q[0]. Note that the + * exponent for q[i] would be q0-24*i. + * + * PIo2[] double precision array, obtained by cutting pi/2 + * into 24 bits chunks. + * + * f[] ipio2[] in floating point + * + * iq[] integer array by breaking up q[] in 24-bits chunk. + * + * fq[] final product of x*(2/pi) in fq[0],..,fq[jk] + * + * ih integer. If >0 it indicates q[] is >= 0.5, hence + * it also indicates the *sign* of the result. + * + */ + +/* + * Constants: + * The hexadecimal values are the intended ones for the following + * constants. The decimal values may be used, provided that the + * compiler will convert from decimal to binary accurately enough + * to produce the hexadecimal values shown. + */ + + +static const int init_jk[] = {2,3,4,6}; /* initial value for jk */ + +static const double PIo2[] = { + 1.57079625129699707031e+00, /* 0x3FF921FB, 0x40000000 */ + 7.54978941586159635335e-08, /* 0x3E74442D, 0x00000000 */ + 5.39030252995776476554e-15, /* 0x3CF84698, 0x80000000 */ + 3.28200341580791294123e-22, /* 0x3B78CC51, 0x60000000 */ + 1.27065575308067607349e-29, /* 0x39F01B83, 0x80000000 */ + 1.22933308981111328932e-36, /* 0x387A2520, 0x40000000 */ + 2.73370053816464559624e-44, /* 0x36E38222, 0x80000000 */ + 2.16741683877804819444e-51, /* 0x3569F31D, 0x00000000 */ +}; + +static const double + zero = 0.0, + one = 1.0, + two24 = 1.67772160000000000000e+07, /* 0x41700000, 0x00000000 */ + twon24 = 5.96046447753906250000e-08; /* 0x3E700000, 0x00000000 */ + + +static int +__quadmath_kernel_rem_pio2 (double *x, double *y, int e0, int nx, int prec, const int32_t *ipio2) +{ + int32_t jz,jx,jv,jp,jk,carry,n,iq[20],i,j,k,m,q0,ih; + double z,fw,f[20],fq[20],q[20]; + + /* initialize jk*/ + jk = init_jk[prec]; + jp = jk; + + /* determine jx,jv,q0, note that 3>q0 */ + jx = nx-1; + jv = (e0-3)/24; if(jv<0) jv=0; + q0 = e0-24*(jv+1); + + /* set up f[0] to f[jx+jk] where f[jx+jk] = ipio2[jv+jk] */ + j = jv-jx; m = jx+jk; + for(i=0;i<=m;i++,j++) f[i] = (j<0)? zero : (double) ipio2[j]; + + /* compute q[0],q[1],...q[jk] */ + for (i=0;i<=jk;i++) { + for(j=0,fw=0.0;j<=jx;j++) fw += x[j]*f[jx+i-j]; q[i] = fw; + } + + jz = jk; +recompute: + /* distill q[] into iq[] reversingly */ + for(i=0,j=jz,z=q[jz];j>0;i++,j--) { + fw = (double)((int32_t)(twon24* z)); + iq[i] = (int32_t)(z-two24*fw); + z = q[j-1]+fw; + } + + /* compute n */ + z = scalbn(z,q0); /* actual value of z */ + z -= 8.0*floor(z*0.125); /* trim off integer >= 8 */ + n = (int32_t) z; + z -= (double)n; + ih = 0; + if(q0>0) { /* need iq[jz-1] to determine n */ + i = (iq[jz-1]>>(24-q0)); n += i; + iq[jz-1] -= i<<(24-q0); + ih = iq[jz-1]>>(23-q0); + } + else if(q0==0) ih = iq[jz-1]>>23; + else if(z>=0.5) ih=2; + + if(ih>0) { /* q > 0.5 */ + n += 1; carry = 0; + for(i=0;i<jz ;i++) { /* compute 1-q */ + j = iq[i]; + if(carry==0) { + if(j!=0) { + carry = 1; iq[i] = 0x1000000- j; + } + } else iq[i] = 0xffffff - j; + } + if(q0>0) { /* rare case: chance is 1 in 12 */ + switch(q0) { + case 1: + iq[jz-1] &= 0x7fffff; break; + case 2: + iq[jz-1] &= 0x3fffff; break; + } + } + if(ih==2) { + z = one - z; + if(carry!=0) z -= scalbn(one,q0); + } + } + + /* check if recomputation is needed */ + if(z==zero) { + j = 0; + for (i=jz-1;i>=jk;i--) j |= iq[i]; + if(j==0) { /* need recomputation */ + for(k=1;iq[jk-k]==0;k++); /* k = no. of terms needed */ + + for(i=jz+1;i<=jz+k;i++) { /* add q[jz+1] to q[jz+k] */ + f[jx+i] = (double) ipio2[jv+i]; + for(j=0,fw=0.0;j<=jx;j++) fw += x[j]*f[jx+i-j]; + q[i] = fw; + } + jz += k; + goto recompute; + } + } + + /* chop off zero terms */ + if(z==0.0) { + jz -= 1; q0 -= 24; + while(iq[jz]==0) { jz--; q0-=24;} + } else { /* break z into 24-bit if necessary */ + z = scalbn(z,-q0); + if(z>=two24) { + fw = (double)((int32_t)(twon24*z)); + iq[jz] = (int32_t)(z-two24*fw); + jz += 1; q0 += 24; + iq[jz] = (int32_t) fw; + } else iq[jz] = (int32_t) z ; + } + + /* convert integer "bit" chunk to floating-point value */ + fw = scalbn(one,q0); + for(i=jz;i>=0;i--) { + q[i] = fw*(double)iq[i]; fw*=twon24; + } + + /* compute PIo2[0,...,jp]*q[jz,...,0] */ + for(i=jz;i>=0;i--) { + for(fw=0.0,k=0;k<=jp&&k<=jz-i;k++) fw += PIo2[k]*q[i+k]; + fq[jz-i] = fw; + } + + /* compress fq[] into y[] */ + switch(prec) { + case 0: + fw = 0.0; + for (i=jz;i>=0;i--) fw += fq[i]; + y[0] = (ih==0)? fw: -fw; + break; + case 1: + case 2: + fw = 0.0; + for (i=jz;i>=0;i--) fw += fq[i]; + y[0] = (ih==0)? fw: -fw; + fw = fq[0]-fw; + for (i=1;i<=jz;i++) fw += fq[i]; + y[1] = (ih==0)? fw: -fw; + break; + case 3: /* painful */ + for (i=jz;i>0;i--) { +#if __FLT_EVAL_METHOD__ != 0 + volatile +#endif + double fv = (double)(fq[i-1]+fq[i]); + fq[i] += fq[i-1]-fv; + fq[i-1] = fv; + } + for (i=jz;i>1;i--) { +#if __FLT_EVAL_METHOD__ != 0 + volatile +#endif + double fv = (double)(fq[i-1]+fq[i]); + fq[i] += fq[i-1]-fv; + fq[i-1] = fv; + } + for (fw=0.0,i=jz;i>=2;i--) fw += fq[i]; + if(ih==0) { + y[0] = fq[0]; y[1] = fq[1]; y[2] = fw; + } else { + y[0] = -fq[0]; y[1] = -fq[1]; y[2] = -fw; + } + } + return n&7; +} + + + + + +/* Quad-precision floating point argument reduction. + Copyright (C) 1999 Free Software Foundation, Inc. + This file is part of the GNU C Library. + Contributed by Jakub Jelinek <jj@ultra.linux.cz> + + The GNU C Library is free software; you can redistribute it and/or + modify it under the terms of the GNU Lesser General Public + License as published by the Free Software Foundation; either + version 2.1 of the License, or (at your option) any later version. + + The GNU C Library is distributed in the hope that it will be useful, + but WITHOUT ANY WARRANTY; without even the implied warranty of + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + Lesser General Public License for more details. + + You should have received a copy of the GNU Lesser General Public + License along with the GNU C Library; if not, write to the Free + Software Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA + 02111-1307 USA. */ + +/* + * Table of constants for 2/pi, 5628 hexadecimal digits of 2/pi + */ +static const int32_t two_over_pi[] = { +0xa2f983, 0x6e4e44, 0x1529fc, 0x2757d1, 0xf534dd, 0xc0db62, +0x95993c, 0x439041, 0xfe5163, 0xabdebb, 0xc561b7, 0x246e3a, +0x424dd2, 0xe00649, 0x2eea09, 0xd1921c, 0xfe1deb, 0x1cb129, +0xa73ee8, 0x8235f5, 0x2ebb44, 0x84e99c, 0x7026b4, 0x5f7e41, +0x3991d6, 0x398353, 0x39f49c, 0x845f8b, 0xbdf928, 0x3b1ff8, +0x97ffde, 0x05980f, 0xef2f11, 0x8b5a0a, 0x6d1f6d, 0x367ecf, +0x27cb09, 0xb74f46, 0x3f669e, 0x5fea2d, 0x7527ba, 0xc7ebe5, +0xf17b3d, 0x0739f7, 0x8a5292, 0xea6bfb, 0x5fb11f, 0x8d5d08, +0x560330, 0x46fc7b, 0x6babf0, 0xcfbc20, 0x9af436, 0x1da9e3, +0x91615e, 0xe61b08, 0x659985, 0x5f14a0, 0x68408d, 0xffd880, +0x4d7327, 0x310606, 0x1556ca, 0x73a8c9, 0x60e27b, 0xc08c6b, +0x47c419, 0xc367cd, 0xdce809, 0x2a8359, 0xc4768b, 0x961ca6, +0xddaf44, 0xd15719, 0x053ea5, 0xff0705, 0x3f7e33, 0xe832c2, +0xde4f98, 0x327dbb, 0xc33d26, 0xef6b1e, 0x5ef89f, 0x3a1f35, +0xcaf27f, 0x1d87f1, 0x21907c, 0x7c246a, 0xfa6ed5, 0x772d30, +0x433b15, 0xc614b5, 0x9d19c3, 0xc2c4ad, 0x414d2c, 0x5d000c, +0x467d86, 0x2d71e3, 0x9ac69b, 0x006233, 0x7cd2b4, 0x97a7b4, +0xd55537, 0xf63ed7, 0x1810a3, 0xfc764d, 0x2a9d64, 0xabd770, +0xf87c63, 0x57b07a, 0xe71517, 0x5649c0, 0xd9d63b, 0x3884a7, +0xcb2324, 0x778ad6, 0x23545a, 0xb91f00, 0x1b0af1, 0xdfce19, +0xff319f, 0x6a1e66, 0x615799, 0x47fbac, 0xd87f7e, 0xb76522, +0x89e832, 0x60bfe6, 0xcdc4ef, 0x09366c, 0xd43f5d, 0xd7de16, +0xde3b58, 0x929bde, 0x2822d2, 0xe88628, 0x4d58e2, 0x32cac6, +0x16e308, 0xcb7de0, 0x50c017, 0xa71df3, 0x5be018, 0x34132e, +0x621283, 0x014883, 0x5b8ef5, 0x7fb0ad, 0xf2e91e, 0x434a48, +0xd36710, 0xd8ddaa, 0x425fae, 0xce616a, 0xa4280a, 0xb499d3, +0xf2a606, 0x7f775c, 0x83c2a3, 0x883c61, 0x78738a, 0x5a8caf, +0xbdd76f, 0x63a62d, 0xcbbff4, 0xef818d, 0x67c126, 0x45ca55, +0x36d9ca, 0xd2a828, 0x8d61c2, 0x77c912, 0x142604, 0x9b4612, +0xc459c4, 0x44c5c8, 0x91b24d, 0xf31700, 0xad43d4, 0xe54929, +0x10d5fd, 0xfcbe00, 0xcc941e, 0xeece70, 0xf53e13, 0x80f1ec, +0xc3e7b3, 0x28f8c7, 0x940593, 0x3e71c1, 0xb3092e, 0xf3450b, +0x9c1288, 0x7b20ab, 0x9fb52e, 0xc29247, 0x2f327b, 0x6d550c, +0x90a772, 0x1fe76b, 0x96cb31, 0x4a1679, 0xe27941, 0x89dff4, +0x9794e8, 0x84e6e2, 0x973199, 0x6bed88, 0x365f5f, 0x0efdbb, +0xb49a48, 0x6ca467, 0x427271, 0x325d8d, 0xb8159f, 0x09e5bc, +0x25318d, 0x3974f7, 0x1c0530, 0x010c0d, 0x68084b, 0x58ee2c, +0x90aa47, 0x02e774, 0x24d6bd, 0xa67df7, 0x72486e, 0xef169f, +0xa6948e, 0xf691b4, 0x5153d1, 0xf20acf, 0x339820, 0x7e4bf5, +0x6863b2, 0x5f3edd, 0x035d40, 0x7f8985, 0x295255, 0xc06437, +0x10d86d, 0x324832, 0x754c5b, 0xd4714e, 0x6e5445, 0xc1090b, +0x69f52a, 0xd56614, 0x9d0727, 0x50045d, 0xdb3bb4, 0xc576ea, +0x17f987, 0x7d6b49, 0xba271d, 0x296996, 0xacccc6, 0x5414ad, +0x6ae290, 0x89d988, 0x50722c, 0xbea404, 0x940777, 0x7030f3, +0x27fc00, 0xa871ea, 0x49c266, 0x3de064, 0x83dd97, 0x973fa3, +0xfd9443, 0x8c860d, 0xde4131, 0x9d3992, 0x8c70dd, 0xe7b717, +0x3bdf08, 0x2b3715, 0xa0805c, 0x93805a, 0x921110, 0xd8e80f, +0xaf806c, 0x4bffdb, 0x0f9038, 0x761859, 0x15a562, 0xbbcb61, +0xb989c7, 0xbd4010, 0x04f2d2, 0x277549, 0xf6b6eb, 0xbb22db, +0xaa140a, 0x2f2689, 0x768364, 0x333b09, 0x1a940e, 0xaa3a51, +0xc2a31d, 0xaeedaf, 0x12265c, 0x4dc26d, 0x9c7a2d, 0x9756c0, +0x833f03, 0xf6f009, 0x8c402b, 0x99316d, 0x07b439, 0x15200c, +0x5bc3d8, 0xc492f5, 0x4badc6, 0xa5ca4e, 0xcd37a7, 0x36a9e6, +0x9492ab, 0x6842dd, 0xde6319, 0xef8c76, 0x528b68, 0x37dbfc, +0xaba1ae, 0x3115df, 0xa1ae00, 0xdafb0c, 0x664d64, 0xb705ed, +0x306529, 0xbf5657, 0x3aff47, 0xb9f96a, 0xf3be75, 0xdf9328, +0x3080ab, 0xf68c66, 0x15cb04, 0x0622fa, 0x1de4d9, 0xa4b33d, +0x8f1b57, 0x09cd36, 0xe9424e, 0xa4be13, 0xb52333, 0x1aaaf0, +0xa8654f, 0xa5c1d2, 0x0f3f0b, 0xcd785b, 0x76f923, 0x048b7b, +0x721789, 0x53a6c6, 0xe26e6f, 0x00ebef, 0x584a9b, 0xb7dac4, +0xba66aa, 0xcfcf76, 0x1d02d1, 0x2df1b1, 0xc1998c, 0x77adc3, +0xda4886, 0xa05df7, 0xf480c6, 0x2ff0ac, 0x9aecdd, 0xbc5c3f, +0x6dded0, 0x1fc790, 0xb6db2a, 0x3a25a3, 0x9aaf00, 0x9353ad, +0x0457b6, 0xb42d29, 0x7e804b, 0xa707da, 0x0eaa76, 0xa1597b, +0x2a1216, 0x2db7dc, 0xfde5fa, 0xfedb89, 0xfdbe89, 0x6c76e4, +0xfca906, 0x70803e, 0x156e85, 0xff87fd, 0x073e28, 0x336761, +0x86182a, 0xeabd4d, 0xafe7b3, 0x6e6d8f, 0x396795, 0x5bbf31, +0x48d784, 0x16df30, 0x432dc7, 0x356125, 0xce70c9, 0xb8cb30, +0xfd6cbf, 0xa200a4, 0xe46c05, 0xa0dd5a, 0x476f21, 0xd21262, +0x845cb9, 0x496170, 0xe0566b, 0x015299, 0x375550, 0xb7d51e, +0xc4f133, 0x5f6e13, 0xe4305d, 0xa92e85, 0xc3b21d, 0x3632a1, +0xa4b708, 0xd4b1ea, 0x21f716, 0xe4698f, 0x77ff27, 0x80030c, +0x2d408d, 0xa0cd4f, 0x99a520, 0xd3a2b3, 0x0a5d2f, 0x42f9b4, +0xcbda11, 0xd0be7d, 0xc1db9b, 0xbd17ab, 0x81a2ca, 0x5c6a08, +0x17552e, 0x550027, 0xf0147f, 0x8607e1, 0x640b14, 0x8d4196, +0xdebe87, 0x2afdda, 0xb6256b, 0x34897b, 0xfef305, 0x9ebfb9, +0x4f6a68, 0xa82a4a, 0x5ac44f, 0xbcf82d, 0x985ad7, 0x95c7f4, +0x8d4d0d, 0xa63a20, 0x5f57a4, 0xb13f14, 0x953880, 0x0120cc, +0x86dd71, 0xb6dec9, 0xf560bf, 0x11654d, 0x6b0701, 0xacb08c, +0xd0c0b2, 0x485551, 0x0efb1e, 0xc37295, 0x3b06a3, 0x3540c0, +0x7bdc06, 0xcc45e0, 0xfa294e, 0xc8cad6, 0x41f3e8, 0xde647c, +0xd8649b, 0x31bed9, 0xc397a4, 0xd45877, 0xc5e369, 0x13daf0, +0x3c3aba, 0x461846, 0x5f7555, 0xf5bdd2, 0xc6926e, 0x5d2eac, +0xed440e, 0x423e1c, 0x87c461, 0xe9fd29, 0xf3d6e7, 0xca7c22, +0x35916f, 0xc5e008, 0x8dd7ff, 0xe26a6e, 0xc6fdb0, 0xc10893, +0x745d7c, 0xb2ad6b, 0x9d6ecd, 0x7b723e, 0x6a11c6, 0xa9cff7, +0xdf7329, 0xbac9b5, 0x5100b7, 0x0db2e2, 0x24ba74, 0x607de5, +0x8ad874, 0x2c150d, 0x0c1881, 0x94667e, 0x162901, 0x767a9f, +0xbefdfd, 0xef4556, 0x367ed9, 0x13d9ec, 0xb9ba8b, 0xfc97c4, +0x27a831, 0xc36ef1, 0x36c594, 0x56a8d8, 0xb5a8b4, 0x0ecccf, +0x2d8912, 0x34576f, 0x89562c, 0xe3ce99, 0xb920d6, 0xaa5e6b, +0x9c2a3e, 0xcc5f11, 0x4a0bfd, 0xfbf4e1, 0x6d3b8e, 0x2c86e2, +0x84d4e9, 0xa9b4fc, 0xd1eeef, 0xc9352e, 0x61392f, 0x442138, +0xc8d91b, 0x0afc81, 0x6a4afb, 0xd81c2f, 0x84b453, 0x8c994e, +0xcc2254, 0xdc552a, 0xd6c6c0, 0x96190b, 0xb8701a, 0x649569, +0x605a26, 0xee523f, 0x0f117f, 0x11b5f4, 0xf5cbfc, 0x2dbc34, +0xeebc34, 0xcc5de8, 0x605edd, 0x9b8e67, 0xef3392, 0xb817c9, +0x9b5861, 0xbc57e1, 0xc68351, 0x103ed8, 0x4871dd, 0xdd1c2d, +0xa118af, 0x462c21, 0xd7f359, 0x987ad9, 0xc0549e, 0xfa864f, +0xfc0656, 0xae79e5, 0x362289, 0x22ad38, 0xdc9367, 0xaae855, +0x382682, 0x9be7ca, 0xa40d51, 0xb13399, 0x0ed7a9, 0x480569, +0xf0b265, 0xa7887f, 0x974c88, 0x36d1f9, 0xb39221, 0x4a827b, +0x21cf98, 0xdc9f40, 0x5547dc, 0x3a74e1, 0x42eb67, 0xdf9dfe, +0x5fd45e, 0xa4677b, 0x7aacba, 0xa2f655, 0x23882b, 0x55ba41, +0x086e59, 0x862a21, 0x834739, 0xe6e389, 0xd49ee5, 0x40fb49, +0xe956ff, 0xca0f1c, 0x8a59c5, 0x2bfa94, 0xc5c1d3, 0xcfc50f, +0xae5adb, 0x86c547, 0x624385, 0x3b8621, 0x94792c, 0x876110, +0x7b4c2a, 0x1a2c80, 0x12bf43, 0x902688, 0x893c78, 0xe4c4a8, +0x7bdbe5, 0xc23ac4, 0xeaf426, 0x8a67f7, 0xbf920d, 0x2ba365, +0xb1933d, 0x0b7cbd, 0xdc51a4, 0x63dd27, 0xdde169, 0x19949a, +0x9529a8, 0x28ce68, 0xb4ed09, 0x209f44, 0xca984e, 0x638270, +0x237c7e, 0x32b90f, 0x8ef5a7, 0xe75614, 0x08f121, 0x2a9db5, +0x4d7e6f, 0x5119a5, 0xabf9b5, 0xd6df82, 0x61dd96, 0x023616, +0x9f3ac4, 0xa1a283, 0x6ded72, 0x7a8d39, 0xa9b882, 0x5c326b, +0x5b2746, 0xed3400, 0x7700d2, 0x55f4fc, 0x4d5901, 0x8071e0, +0xe13f89, 0xb295f3, 0x64a8f1, 0xaea74b, 0x38fc4c, 0xeab2bb, +0x47270b, 0xabc3a7, 0x34ba60, 0x52dd34, 0xf8563a, 0xeb7e8a, +0x31bb36, 0x5895b7, 0x47f7a9, 0x94c3aa, 0xd39225, 0x1e7f3e, +0xd8974e, 0xbba94f, 0xd8ae01, 0xe661b4, 0x393d8e, 0xa523aa, +0x33068e, 0x1633b5, 0x3bb188, 0x1d3a9d, 0x4013d0, 0xcc1be5, +0xf862e7, 0x3bf28f, 0x39b5bf, 0x0bc235, 0x22747e, 0xa247c0, +0xd52d1f, 0x19add3, 0x9094df, 0x9311d0, 0xb42b25, 0x496db2, +0xe264b2, 0x5ef135, 0x3bc6a4, 0x1a4ad0, 0xaac92e, 0x64e886, +0x573091, 0x982cfb, 0x311b1a, 0x08728b, 0xbdcee1, 0x60e142, +0xeb641d, 0xd0bba3, 0xe559d4, 0x597b8c, 0x2a4483, 0xf332ba, +0xf84867, 0x2c8d1b, 0x2fa9b0, 0x50f3dd, 0xf9f573, 0xdb61b4, +0xfe233e, 0x6c41a6, 0xeea318, 0x775a26, 0xbc5e5c, 0xcea708, +0x94dc57, 0xe20196, 0xf1e839, 0xbe4851, 0x5d2d2f, 0x4e9555, +0xd96ec2, 0xe7d755, 0x6304e0, 0xc02e0e, 0xfc40a0, 0xbbf9b3, +0x7125a7, 0x222dfb, 0xf619d8, 0x838c1c, 0x6619e6, 0xb20d55, +0xbb5137, 0x79e809, 0xaf9149, 0x0d73de, 0x0b0da5, 0xce7f58, +0xac1934, 0x724667, 0x7a1a13, 0x9e26bc, 0x4555e7, 0x585cb5, +0x711d14, 0x486991, 0x480d60, 0x56adab, 0xd62f64, 0x96ee0c, +0x212ff3, 0x5d6d88, 0xa67684, 0x95651e, 0xab9e0a, 0x4ddefe, +0x571010, 0x836a39, 0xf8ea31, 0x9e381d, 0xeac8b1, 0xcac96b, +0x37f21e, 0xd505e9, 0x984743, 0x9fc56c, 0x0331b7, 0x3b8bf8, +0x86e56a, 0x8dc343, 0x6230e7, 0x93cfd5, 0x6a8f2d, 0x733005, +0x1af021, 0xa09fcb, 0x7415a1, 0xd56b23, 0x6ff725, 0x2f4bc7, +0xb8a591, 0x7fac59, 0x5c55de, 0x212c38, 0xb13296, 0x5cff50, +0x366262, 0xfa7b16, 0xf4d9a6, 0x2acfe7, 0xf07403, 0xd4d604, +0x6fd916, 0x31b1bf, 0xcbb450, 0x5bd7c8, 0x0ce194, 0x6bd643, +0x4fd91c, 0xdf4543, 0x5f3453, 0xe2b5aa, 0xc9aec8, 0x131485, +0xf9d2bf, 0xbadb9e, 0x76f5b9, 0xaf15cf, 0xca3182, 0x14b56d, +0xe9fe4d, 0x50fc35, 0xf5aed5, 0xa2d0c1, 0xc96057, 0x192eb6, +0xe91d92, 0x07d144, 0xaea3c6, 0x343566, 0x26d5b4, 0x3161e2, +0x37f1a2, 0x209eff, 0x958e23, 0x493798, 0x35f4a6, 0x4bdc02, +0xc2be13, 0xbe80a0, 0x0b72a3, 0x115c5f, 0x1e1bd1, 0x0db4d3, +0x869e85, 0x96976b, 0x2ac91f, 0x8a26c2, 0x3070f0, 0x041412, +0xfc9fa5, 0xf72a38, 0x9c6878, 0xe2aa76, 0x50cfe1, 0x559274, +0x934e38, 0x0a92f7, 0x5533f0, 0xa63db4, 0x399971, 0xe2b755, +0xa98a7c, 0x008f19, 0xac54d2, 0x2ea0b4, 0xf5f3e0, 0x60c849, +0xffd269, 0xae52ce, 0x7a5fdd, 0xe9ce06, 0xfb0ae8, 0xa50cce, +0xea9d3e, 0x3766dd, 0xb834f5, 0x0da090, 0x846f88, 0x4ae3d5, +0x099a03, 0x2eae2d, 0xfcb40a, 0xfb9b33, 0xe281dd, 0x1b16ba, +0xd8c0af, 0xd96b97, 0xb52dc9, 0x9c277f, 0x5951d5, 0x21ccd6, +0xb6496b, 0x584562, 0xb3baf2, 0xa1a5c4, 0x7ca2cf, 0xa9b93d, +0x7b7b89, 0x483d38, +}; + +static const __float128 c[] = { +/* 93 bits of pi/2 */ +#define PI_2_1 c[0] + 1.57079632679489661923132169155131424e+00Q, /* 3fff921fb54442d18469898cc5100000 */ + +/* pi/2 - PI_2_1 */ +#define PI_2_1t c[1] + 8.84372056613570112025531863263659260e-29Q, /* 3fa1c06e0e68948127044533e63a0106 */ +}; + + +int32_t +__quadmath_rem_pio2q (__float128 x, __float128 *y) +{ + __float128 z, w, t; + double tx[8]; + int64_t exp, n, ix, hx; + uint64_t lx; + + GET_FLT128_WORDS64 (hx, lx, x); + ix = hx & 0x7fffffffffffffffLL; + if (ix <= 0x3ffe921fb54442d1LL) /* x in <-pi/4, pi/4> */ + { + y[0] = x; + y[1] = 0; + return 0; + } + + if (ix < 0x40002d97c7f3321dLL) /* |x| in <pi/4, 3pi/4) */ + { + if (hx > 0) + { + /* 113 + 93 bit PI is ok */ + z = x - PI_2_1; + y[0] = z - PI_2_1t; + y[1] = (z - y[0]) - PI_2_1t; + return 1; + } + else + { + /* 113 + 93 bit PI is ok */ + z = x + PI_2_1; + y[0] = z + PI_2_1t; + y[1] = (z - y[0]) + PI_2_1t; + return -1; + } + } + + if (ix >= 0x7fff000000000000LL) /* x is +=oo or NaN */ + { + y[0] = x - x; + y[1] = y[0]; + return 0; + } + + /* Handle large arguments. + We split the 113 bits of the mantissa into 5 24bit integers + stored in a double array. */ + exp = (ix >> 48) - 16383 - 23; + + /* This is faster than doing this in floating point, because we + have to convert it to integers anyway and like this we can keep + both integer and floating point units busy. */ + tx [0] = (double)(((ix >> 25) & 0x7fffff) | 0x800000); + tx [1] = (double)((ix >> 1) & 0xffffff); + tx [2] = (double)(((ix << 23) | (lx >> 41)) & 0xffffff); + tx [3] = (double)((lx >> 17) & 0xffffff); + tx [4] = (double)((lx << 7) & 0xffffff); + + n = __quadmath_kernel_rem_pio2 (tx, tx + 5, exp, + ((lx << 7) & 0xffffff) ? 5 : 4, + 3, two_over_pi); + + /* The result is now stored in 3 double values, we need to convert it into + two __float128 values. */ + t = (__float128) tx [6] + (__float128) tx [7]; + w = (__float128) tx [5]; + + if (hx >= 0) + { + y[0] = w + t; + y[1] = t - (y[0] - w); + return n; + } + else + { + y[0] = -(w + t); + y[1] = -t - (y[0] + w); + return -n; + } +} diff --git a/libquadmath/math/remainderq.c b/libquadmath/math/remainderq.c new file mode 100644 index 000000000..421f728ff --- /dev/null +++ b/libquadmath/math/remainderq.c @@ -0,0 +1,67 @@ +/* e_fmodl.c -- long double version of e_fmod.c. + * Conversion to IEEE quad long double by Jakub Jelinek, jj@ultra.linux.cz. + */ +/* + * ==================================================== + * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. + * + * Developed at SunPro, a Sun Microsystems, Inc. business. + * Permission to use, copy, modify, and distribute this + * software is freely granted, provided that this notice + * is preserved. + * ==================================================== + */ + +/* remainderq(x,p) + * Return : + * returns x REM p = x - [x/p]*p as if in infinite + * precise arithmetic, where [x/p] is the (infinite bit) + * integer nearest x/p (in half way case choose the even one). + * Method : + * Based on fmodq() return x-[x/p]chopped*p exactlp. + */ + +#include "quadmath-imp.h" + +static const __float128 zero = 0.0Q; + +__float128 +remainderq (__float128 x, __float128 p) +{ + int64_t hx,hp; + uint64_t sx,lx,lp; + __float128 p_half; + + GET_FLT128_WORDS64(hx,lx,x); + GET_FLT128_WORDS64(hp,lp,p); + sx = hx&0x8000000000000000ULL; + hp &= 0x7fffffffffffffffLL; + hx &= 0x7fffffffffffffffLL; + + /* purge off exception values */ + if((hp|lp)==0) return (x*p)/(x*p); /* p = 0 */ + if((hx>=0x7fff000000000000LL)|| /* x not finite */ + ((hp>=0x7fff000000000000LL)&& /* p is NaN */ + (((hp-0x7fff000000000000LL)|lp)!=0))) + return (x*p)/(x*p); + + if (hp<=0x7ffdffffffffffffLL) x = fmodq (x,p+p); /* now x < 2p */ + if (((hx-hp)|(lx-lp))==0) return zero*x; + x = fabsq(x); + p = fabsq(p); + if (hp<0x0002000000000000LL) { + if(x+x>p) { + x-=p; + if(x+x>=p) x -= p; + } + } else { + p_half = 0.5Q*p; + if(x>p_half) { + x-=p; + if(x>=p_half) x -= p; + } + } + GET_FLT128_MSW64(hx,x); + SET_FLT128_MSW64(x,hx^sx); + return x; +} diff --git a/libquadmath/math/remquoq.c b/libquadmath/math/remquoq.c new file mode 100644 index 000000000..f7001afc3 --- /dev/null +++ b/libquadmath/math/remquoq.c @@ -0,0 +1,107 @@ +/* Compute remainder and a congruent to the quotient. + Copyright (C) 1997, 1999, 2002 Free Software Foundation, Inc. + This file is part of the GNU C Library. + Contributed by Ulrich Drepper <drepper@cygnus.com>, 1997 and + Jakub Jelinek <jj@ultra.linux.cz>, 1999. + + The GNU C Library is free software; you can redistribute it and/or + modify it under the terms of the GNU Lesser General Public + License as published by the Free Software Foundation; either + version 2.1 of the License, or (at your option) any later version. + + The GNU C Library is distributed in the hope that it will be useful, + but WITHOUT ANY WARRANTY; without even the implied warranty of + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + Lesser General Public License for more details. + + You should have received a copy of the GNU Lesser General Public + License along with the GNU C Library; if not, write to the Free + Software Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA + 02111-1307 USA. */ + +#include "quadmath-imp.h" + + +static const __float128 zero = 0.0; + + +__float128 +remquoq (__float128 x, __float128 y, int *quo) +{ + int64_t hx,hy; + uint64_t sx,lx,ly,qs; + int cquo; + + GET_FLT128_WORDS64 (hx, lx, x); + GET_FLT128_WORDS64 (hy, ly, y); + sx = hx & 0x8000000000000000ULL; + qs = sx ^ (hy & 0x8000000000000000ULL); + hy &= 0x7fffffffffffffffLL; + hx &= 0x7fffffffffffffffLL; + + /* Purge off exception values. */ + if ((hy | ly) == 0) + return (x * y) / (x * y); /* y = 0 */ + if ((hx >= 0x7fff000000000000LL) /* x not finite */ + || ((hy >= 0x7fff000000000000LL) /* y is NaN */ + && (((hy - 0x7fff000000000000LL) | ly) != 0))) + return (x * y) / (x * y); + + if (hy <= 0x7ffbffffffffffffLL) + x = fmodq (x, 8 * y); /* now x < 8y */ + + if (((hx - hy) | (lx - ly)) == 0) + { + *quo = qs ? -1 : 1; + return zero * x; + } + + x = fabsq (x); + y = fabsq (y); + cquo = 0; + + if (x >= 4 * y) + { + x -= 4 * y; + cquo += 4; + } + if (x >= 2 * y) + { + x -= 2 * y; + cquo += 2; + } + + if (hy < 0x0002000000000000LL) + { + if (x + x > y) + { + x -= y; + ++cquo; + if (x + x >= y) + { + x -= y; + ++cquo; + } + } + } + else + { + __float128 y_half = 0.5Q * y; + if (x > y_half) + { + x -= y; + ++cquo; + if (x >= y_half) + { + x -= y; + ++cquo; + } + } + } + + *quo = qs ? -cquo : cquo; + + if (sx) + x = -x; + return x; +} diff --git a/libquadmath/math/rintq.c b/libquadmath/math/rintq.c new file mode 100644 index 000000000..fe7a59188 --- /dev/null +++ b/libquadmath/math/rintq.c @@ -0,0 +1,66 @@ +/* s_rintl.c -- long double version of s_rint.c. + * Conversion to IEEE quad long double by Jakub Jelinek, jj@ultra.linux.cz. + */ + +/* + * ==================================================== + * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. + * + * Developed at SunPro, a Sun Microsystems, Inc. business. + * Permission to use, copy, modify, and distribute this + * software is freely granted, provided that this notice + * is preserved. + * ==================================================== + */ + +#include "quadmath-imp.h" + +static const __float128 +TWO112[2]={ + 5.19229685853482762853049632922009600E+33L, /* 0x406F000000000000, 0 */ + -5.19229685853482762853049632922009600E+33L /* 0xC06F000000000000, 0 */ +}; + +__float128 +rintq (__float128 x) +{ + int64_t i0,j0,sx; + uint64_t i,i1; + __float128 w,t; + GET_FLT128_WORDS64(i0,i1,x); + sx = (((uint64_t)i0)>>63); + j0 = ((i0>>48)&0x7fff)-0x3fff; + if(j0<48) { + if(j0<0) { + if(((i0&0x7fffffffffffffffLL)|i1)==0) return x; + i1 |= (i0&0x0000ffffffffffffLL); + i0 &= 0xffffe00000000000ULL; + i0 |= ((i1|-i1)>>16)&0x0000800000000000LL; + SET_FLT128_MSW64(x,i0); + w = TWO112[sx]+x; + t = w-TWO112[sx]; + GET_FLT128_MSW64(i0,t); + SET_FLT128_MSW64(t,(i0&0x7fffffffffffffffLL)|(sx<<63)); + return t; + } else { + i = (0x0000ffffffffffffLL)>>j0; + if(((i0&i)|i1)==0) return x; /* x is integral */ + i>>=1; + if(((i0&i)|i1)!=0) { + if(j0==47) i1 = 0x4000000000000000ULL; else + i0 = (i0&(~i))|((0x0000200000000000LL)>>j0); + } + } + } else if (j0>111) { + if(j0==0x4000) return x+x; /* inf or NaN */ + else return x; /* x is integral */ + } else { + i = -1ULL>>(j0-48); + if((i1&i)==0) return x; /* x is integral */ + i>>=1; + if((i1&i)!=0) i1 = (i1&(~i))|((0x4000000000000000LL)>>(j0-48)); + } + SET_FLT128_WORDS64(x,i0,i1); + w = TWO112[sx]+x; + return w-TWO112[sx]; +} diff --git a/libquadmath/math/roundq.c b/libquadmath/math/roundq.c new file mode 100644 index 000000000..d7f577bd9 --- /dev/null +++ b/libquadmath/math/roundq.c @@ -0,0 +1,90 @@ +/* Round long double to integer away from zero. + Copyright (C) 1997, 1999 Free Software Foundation, Inc. + This file is part of the GNU C Library. + Contributed by Ulrich Drepper <drepper@cygnus.com>, 1997 and + Jakub Jelinek <jj@ultra.linux.cz>, 1999. + + The GNU C Library is free software; you can redistribute it and/or + modify it under the terms of the GNU Lesser General Public + License as published by the Free Software Foundation; either + version 2.1 of the License, or (at your option) any later version. + + The GNU C Library is distributed in the hope that it will be useful, + but WITHOUT ANY WARRANTY; without even the implied warranty of + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + Lesser General Public License for more details. + + You should have received a copy of the GNU Lesser General Public + License along with the GNU C Library; if not, write to the Free + Software Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA + 02111-1307 USA. */ + +#include "quadmath-imp.h" + +static const __float128 huge = 1.0E4930Q; + + +__float128 +roundq (__float128 x) +{ + int32_t j0; + uint64_t i1, i0; + + GET_FLT128_WORDS64 (i0, i1, x); + j0 = ((i0 >> 48) & 0x7fff) - 0x3fff; + if (j0 < 31) + { + if (j0 < 0) + { + if (huge + x > 0.0) + { + i0 &= 0x8000000000000000ULL; + if (j0 == -1) + i0 |= 0x3fff000000000000LL; + i1 = 0; + } + } + else + { + uint64_t i = 0x0000ffffffffffffLL >> j0; + if (((i0 & i) | i1) == 0) + /* X is integral. */ + return x; + if (huge + x > 0.0) + { + /* Raise inexact if x != 0. */ + i0 += 0x0000800000000000LL >> j0; + i0 &= ~i; + i1 = 0; + } + } + } + else if (j0 > 111) + { + if (j0 == 0x4000) + /* Inf or NaN. */ + return x + x; + else + return x; + } + else + { + uint64_t i = -1ULL >> (j0 - 48); + if ((i1 & i) == 0) + /* X is integral. */ + return x; + + if (huge + x > 0.0) + { + /* Raise inexact if x != 0. */ + uint64_t j = i1 + (1LL << (111 - j0)); + if (j < i1) + i0 += 1; + i1 = j; + } + i1 &= ~i; + } + + SET_FLT128_WORDS64 (x, i0, i1); + return x; +} diff --git a/libquadmath/math/scalblnq.c b/libquadmath/math/scalblnq.c new file mode 100644 index 000000000..75997f688 --- /dev/null +++ b/libquadmath/math/scalblnq.c @@ -0,0 +1,48 @@ +/* s_scalblnl.c -- long double version of s_scalbn.c. + * Conversion to IEEE quad long double by Jakub Jelinek, jj@ultra.linux.cz. + */ + +/* + * ==================================================== + * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. + * + * Developed at SunPro, a Sun Microsystems, Inc. business. + * Permission to use, copy, modify, and distribute this + * software is freely granted, provided that this notice + * is preserved. + * ==================================================== + */ + +#include "quadmath-imp.h" + +static const __float128 +two114 = 2.0769187434139310514121985316880384E+34Q, /* 0x4071000000000000, 0 */ +twom114 = 4.8148248609680896326399448564623183E-35Q, /* 0x3F8D000000000000, 0 */ +huge = 1.0E+4900Q, +tiny = 1.0E-4900Q; + +__float128 +scalblnq (__float128 x, long int n) +{ + int64_t k,hx,lx; + GET_FLT128_WORDS64(hx,lx,x); + k = (hx>>48)&0x7fff; /* extract exponent */ + if (k==0) { /* 0 or subnormal x */ + if ((lx|(hx&0x7fffffffffffffffULL))==0) return x; /* +-0 */ + x *= two114; + GET_FLT128_MSW64(hx,x); + k = ((hx>>48)&0x7fff) - 114; + } + if (k==0x7fff) return x+x; /* NaN or Inf */ + k = k+n; + if (n> 50000 || k > 0x7ffe) + return huge*copysignq(huge,x); /* overflow */ + if (n< -50000) return tiny*copysignq(tiny,x); /*underflow*/ + if (k > 0) /* normal result */ + {SET_FLT128_MSW64(x,(hx&0x8000ffffffffffffULL)|(k<<48)); return x;} + if (k <= -114) + return tiny*copysignq(tiny,x); /*underflow*/ + k += 114; /* subnormal result */ + SET_FLT128_MSW64(x,(hx&0x8000ffffffffffffULL)|(k<<48)); + return x*twom114; +} diff --git a/libquadmath/math/scalbnq.c b/libquadmath/math/scalbnq.c new file mode 100644 index 000000000..b7049a70e --- /dev/null +++ b/libquadmath/math/scalbnq.c @@ -0,0 +1,48 @@ +/* s_scalbnl.c -- long double version of s_scalbn.c. + * Conversion to IEEE quad long double by Jakub Jelinek, jj@ultra.linux.cz. + */ + +/* + * ==================================================== + * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. + * + * Developed at SunPro, a Sun Microsystems, Inc. business. + * Permission to use, copy, modify, and distribute this + * software is freely granted, provided that this notice + * is preserved. + * ==================================================== + */ + +#include "quadmath-imp.h" + +static const __float128 +two114 = 2.0769187434139310514121985316880384E+34Q, /* 0x4071000000000000, 0 */ +twom114 = 4.8148248609680896326399448564623183E-35Q, /* 0x3F8D000000000000, 0 */ +huge = 1.0E+4900Q, +tiny = 1.0E-4900Q; + +__float128 +scalbnq (__float128 x, int n) +{ + int64_t k,hx,lx; + GET_FLT128_WORDS64(hx,lx,x); + k = (hx>>48)&0x7fff; /* extract exponent */ + if (k==0) { /* 0 or subnormal x */ + if ((lx|(hx&0x7fffffffffffffffULL))==0) return x; /* +-0 */ + x *= two114; + GET_FLT128_MSW64(hx,x); + k = ((hx>>48)&0x7fff) - 114; + } + if (k==0x7fff) return x+x; /* NaN or Inf */ + k = k+n; + if (n> 50000 || k > 0x7ffe) + return huge*copysignq(huge,x); /* overflow */ + if (n< -50000) return tiny*copysignq(tiny,x); /*underflow*/ + if (k > 0) /* normal result */ + {SET_FLT128_MSW64(x,(hx&0x8000ffffffffffffULL)|(k<<48)); return x;} + if (k <= -114) + return tiny*copysignq(tiny,x); /*underflow*/ + k += 114; /* subnormal result */ + SET_FLT128_MSW64(x,(hx&0x8000ffffffffffffULL)|(k<<48)); + return x*twom114; +} diff --git a/libquadmath/math/signbitq.c b/libquadmath/math/signbitq.c new file mode 100644 index 000000000..2ddab8667 --- /dev/null +++ b/libquadmath/math/signbitq.c @@ -0,0 +1,10 @@ +#include "quadmath-imp.h" + + +int +signbitq (const __float128 x) +{ + ieee854_float128 f; + f.value = x; + return f.ieee.negative; +} diff --git a/libquadmath/math/sincos_table.c b/libquadmath/math/sincos_table.c new file mode 100644 index 000000000..b7e7c7503 --- /dev/null +++ b/libquadmath/math/sincos_table.c @@ -0,0 +1,696 @@ +/* Quad-precision floating point sine and cosine tables. + Copyright (C) 1999 Free Software Foundation, Inc. + This file is part of the GNU C Library. + Contributed by Jakub Jelinek <jj@ultra.linux.cz> + + The GNU C Library is free software; you can redistribute it and/or + modify it under the terms of the GNU Lesser General Public + License as published by the Free Software Foundation; either + version 2.1 of the License, or (at your option) any later version. + + The GNU C Library is distributed in the hope that it will be useful, + but WITHOUT ANY WARRANTY; without even the implied warranty of + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + Lesser General Public License for more details. + + You should have received a copy of the GNU Lesser General Public + License along with the GNU C Library; if not, write to the Free + Software Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA + 02111-1307 USA. */ + +/* For 0.1484375 + n/128.0, n=0..82 this table contains + first 113 bits of cosine, then at least 113 additional + bits and the same for sine. + 0.1484375+82.0/128.0 is the smallest number among above defined numbers + larger than pi/4. + Computed using gmp. + */ + +#include "quadmath-imp.h" + +const __float128 __sincosq_table[] = { + +/* x = 1.48437500000000000000000000000000000e-01Q 3ffc3000000000000000000000000000 */ +/* cos(x) = 0.fd2f5320e1b790209b4dda2f98f79caaa7b873aff1014b0fbc5243766d03cb006bc837c4358 */ + 9.89003367927322909016887196069562069e-01Q, /* 3ffefa5ea641c36f2041369bb45f31ef */ + 2.15663692029265697782289400027743703e-35Q, /* 3f8bcaaa7b873aff1014b0fbc5243767 */ +/* sin(x) = 0.25dc50bc95711d0d9787d108fd438cf5959ee0bfb7a1e36e8b1a112968f356657420e9cc9ea */ + 1.47892995873409608580026675734609314e-01Q, /* 3ffc2ee285e4ab88e86cbc3e8847ea1c */ + 9.74950446464233268291647449768590886e-36Q, /* 3f8a9eb2b3dc17f6f43c6dd16342252d */ + +/* x = 1.56250000000000000000000000000000000e-01 3ffc4000000000000000000000000000 */ +/* cos(x) = 0.fce1a053e621438b6d60c76e8c45bf0a9dc71aa16f922acc10e95144ec796a249813c9cb649 */ + 9.87817783816471944100503034363211317e-01Q, /* 3ffef9c340a7cc428716dac18edd188b */ + 4.74271307836705897892468107620526395e-35Q, /* 3f8cf854ee38d50b7c915660874a8a27 */ +/* sin(x) = 0.27d66258bacd96a3eb335b365c87d59438c5142bb56a489e9b8db9d36234ffdebb6bdc22d8e */ + 1.55614992773556041209920643203516258e-01Q, /* 3ffc3eb312c5d66cb51f599ad9b2e43f */ +-7.83989563419287980121718050629497270e-36Q, /* bf8a4d78e75d7a8952b6ec2c8e48c594 */ + +/* x = 1.64062500000000000000000000000000000e-01 3ffc5000000000000000000000000000 */ +/* cos(x) = 0.fc8ffa01ba6807417e05962b0d9fdf1fddb0cc4c07d22e19e08019bffa50a6c7acdb40307a3 */ + 9.86571908399497588757337407495308409e-01Q, /* 3ffef91ff40374d00e82fc0b2c561b40 */ +-2.47327949936985362476252401212720725e-35Q, /* bf8c070112799d9fc16e8f30fbff3200 */ +/* sin(x) = 0.29cfd49b8be4f665276cab01cbf0426934906c3dd105473b226e410b1450f62e53ff7c6cce1 */ + 1.63327491736612850846866172454354370e-01Q, /* 3ffc4e7ea4dc5f27b3293b65580e5f82 */ + 1.81380344301155485770367902300754350e-36Q, /* 3f88349a48361ee882a39d913720858a */ + +/* x = 1.71875000000000000000000000000000000e-01 3ffc6000000000000000000000000000 */ +/* cos(x) = 0.fc3a6170f767ac735d63d99a9d439e1db5e59d3ef153a4265d5855850ed82b536bf361b80e3 */ + 9.85265817718213816204294709759578994e-01Q, /* 3ffef874c2e1eecf58e6bac7b3353a87 */ + 2.26568029505818066141517497778527952e-35Q, /* 3f8be1db5e59d3ef153a4265d5855851 */ +/* sin(x) = 0.2bc89f9f424de5485de7ce03b2514952b9faf5648c3244d4736feb95dbb9da49f3b58a9253b */ + 1.71030022031395019281347969239834331e-01Q, /* 3ffc5e44fcfa126f2a42ef3e701d928a */ + 7.01395875187487608875416030203241317e-36Q, /* 3f8a2a573f5eac9186489a8e6dfd72bb */ + +/* x = 1.79687500000000000000000000000000000e-01 3ffc7000000000000000000000000000 */ +/* cos(x) = 0.fbe0d7f7fef11e70aa43b8abf4f6a457cea20c8f3f676b47781f9821bbe9ce04b3c7b981c0b */ + 9.83899591489663972178309351416487245e-01Q, /* 3ffef7c1afeffde23ce154877157e9ed */ + 2.73414318948066207810486330723761265e-35Q, /* 3f8c22be75106479fb3b5a3bc0fcc10e */ +/* sin(x) = 0.2dc0bb80b49a97ffb34e8dd1f8db9df7af47ed2dcf58b12c8e7827e048cae929da02c04ecac */ + 1.78722113535153659375356241864180724e-01Q, /* 3ffc6e05dc05a4d4bffd9a746e8fc6dd */ +-1.52906926517265103202547561260594148e-36Q, /* bf8804285c09691853a769b8c3ec0fdc */ + +/* x = 1.87500000000000000000000000000000000e-01 3ffc8000000000000000000000000000 */ +/* cos(x) = 0.fb835efcf670dd2ce6fe7924697eea13ea358867e9cdb3899b783f4f9f43aa5626e8b67b3bc */ + 9.82473313101255257487327683243622495e-01Q, /* 3ffef706bdf9ece1ba59cdfcf248d2fe */ +-1.64924358891557584625463868014230342e-35Q, /* bf8b5ec15ca779816324c766487c0b06 */ +/* sin(x) = 0.2fb8205f75e56a2b56a1c4792f856258769af396e0189ef72c05e4df59a6b00e4b44a6ea515 */ + 1.86403296762269884552379983103205261e-01Q, /* 3ffc7dc102fbaf2b515ab50e23c97c2b */ + 1.76460304806826780010586715975331753e-36Q, /* 3f882c3b4d79cb700c4f7b9602f26fad */ + +/* x = 1.95312500000000000000000000000000000e-01 3ffc9000000000000000000000000000 */ +/* cos(x) = 0.fb21f7f5c156696b00ac1fe28ac5fd76674a92b4df80d9c8a46c684399005deccc41386257c */ + 9.80987069605669190469329896435309665e-01Q, /* 3ffef643efeb82acd2d601583fc5158c */ +-1.90899259410096419886996331536278461e-36Q, /* bf8844cc5ab6a5903f931badc9cbde34 */ +/* sin(x) = 0.31aec65df552876f82ece9a2356713246eba6799983d7011b0b3698d6e1da919c15d57c30c1 */ + 1.94073102892909791156055200214145404e-01Q, /* 3ffc8d7632efaa943b7c17674d11ab39 */ +-9.67304741051998267208945242944928999e-36Q, /* bf8a9b7228b30cccf851fdc9e992ce52 */ + +/* x = 2.03125000000000000000000000000000000e-01 3ffca000000000000000000000000000 */ +/* cos(x) = 0.fabca467fb3cb8f1d069f01d8ea33ade5bfd68296ecd1cc9f7b7609bbcf3676e726c3301334 */ + 9.79440951715548359998530954502987493e-01Q, /* 3ffef57948cff67971e3a0d3e03b1d46 */ + 4.42878056591560757066844797290067990e-35Q, /* 3f8cd6f2dfeb414b7668e64fbdbb04de */ +/* sin(x) = 0.33a4a5a19d86246710f602c44df4fa513f4639ce938477aeeabb82e8e0a7ed583a188879fd4 */ + 2.01731063801638804725038151164000971e-01Q, /* 3ffc9d252d0cec31233887b016226fa8 */ +-4.27513434754966978435151290617384120e-36Q, /* bf896bb02e718c5b1ee21445511f45c8 */ + +/* x = 2.10937500000000000000000000000000000e-01 3ffcb000000000000000000000000000 */ +/* cos(x) = 0.fa5365e8f1d3ca27be1db5d76ae64d983d7470a4ab0f4ccf65a2b8c67a380df949953a09bc1 */ + 9.77835053797959793331971572944454549e-01Q, /* 3ffef4a6cbd1e3a7944f7c3b6baed5cd */ +-3.79207422905180416937210853779192702e-35Q, /* bf8c933e145c7adaa7859984d2ea39cc */ +/* sin(x) = 0.3599b652f40ec999df12a0a4c8561de159c98d4e54555de518b97f48886f715d8df5f4f093e */ + 2.09376712085993643711890752724881652e-01Q, /* 3ffcaccdb297a0764ccef895052642b1 */ +-1.59470287344329449965314638482515925e-36Q, /* bf880f531b3958d5d5510d73a3405bbc */ + +/* x = 2.18750000000000000000000000000000000e-01 3ffcc000000000000000000000000000 */ +/* cos(x) = 0.f9e63e1d9e8b6f6f2e296bae5b5ed9c11fd7fa2fe11e09fc7bde901abed24b6365e72f7db4e */ + 9.76169473868635276723989035435135534e-01Q, /* 3ffef3cc7c3b3d16dede5c52d75cb6be */ +-2.87727974249481583047944860626985460e-35Q, /* bf8c31f701402e80f70fb01c210b7f2a */ +/* sin(x) = 0.378df09db8c332ce0d2b53d865582e4526ea336c768f68c32b496c6d11c1cd241bb9f1da523 */ + 2.17009581095010156760578095826055396e-01Q, /* 3ffcbc6f84edc6199670695a9ec32ac1 */ + 1.07356488794216831812829549198201194e-35Q, /* 3f8ac8a4dd466d8ed1ed1865692d8da2 */ + +/* x = 2.26562500000000000000000000000000000e-01 3ffcd000000000000000000000000000 */ +/* cos(x) = 0.f9752eba9fff6b98842beadab054a932fb0f8d5b875ae63d6b2288d09b148921aeb6e52f61b */ + 9.74444313585988980349711056045434344e-01Q, /* 3ffef2ea5d753ffed7310857d5b560a9 */ + 3.09947905955053419304514538592548333e-35Q, /* 3f8c4997d87c6adc3ad731eb59144685 */ +/* sin(x) = 0.39814cb10513453cb97b21bc1ca6a337b150c21a675ab85503bc09a436a10ab1473934e20c8 */ + 2.24629204957705292350428549796424820e-01Q, /* 3ffccc0a6588289a29e5cbd90de0e535 */ + 2.42061510849297469844695751870058679e-36Q, /* 3f889bd8a8610d33ad5c2a81de04d21b */ + +/* x = 2.34375000000000000000000000000000000e-01 3ffce000000000000000000000000000 */ +/* cos(x) = 0.f90039843324f9b940416c1984b6cbed1fc733d97354d4265788a86150493ce657cae032674 */ + 9.72659678244912752670913058267565260e-01Q, /* 3ffef20073086649f3728082d833096e */ +-3.91759231819314904966076958560252735e-35Q, /* bf8ca09701c6613465595ecd43babcf5 */ +/* sin(x) = 0.3b73c2bf6b4b9f668ef9499c81f0d965087f1753fa64b086e58cb8470515c18c1412f8c2e02 */ + 2.32235118611511462413930877746235872e-01Q, /* 3ffcdb9e15fb5a5cfb3477ca4ce40f87 */ +-4.96930483364191020075024624332928910e-36Q, /* bf89a6bde03a2b0166d3de469cd1ee3f */ + +/* x = 2.42187500000000000000000000000000000e-01 3ffcf000000000000000000000000000 */ +/* cos(x) = 0.f887604e2c39dbb20e4ec5825059a789ffc95b275ad9954078ba8a28d3fcfe9cc2c1d49697b */ + 9.70815676770349462947490545785046027e-01Q, /* 3ffef10ec09c5873b7641c9d8b04a0b3 */ + 2.97458820972393859125277682021202860e-35Q, /* 3f8c3c4ffe4ad93ad6ccaa03c5d45147 */ +/* sin(x) = 0.3d654aff15cb457a0fca854698aba33039a8a40626609204472d9d40309b626eccc6dff0ffa */ + 2.39826857830661564441369251810886574e-01Q, /* 3ffceb2a57f8ae5a2bd07e542a34c55d */ + 2.39867036569896287240938444445071448e-36Q, /* 3f88981cd45203133049022396cea018 */ + +/* x = 2.50000000000000000000000000000000000e-01 3ffd0000000000000000000000000000 */ +/* cos(x) = 0.f80aa4fbef750ba783d33cb95f94f8a41426dbe79edc4a023ef9ec13c944551c0795b84fee1 */ + 9.68912421710644784144595449494189205e-01Q, /* 3ffef01549f7deea174f07a67972bf2a */ +-5.53634706113461989398873287749326500e-36Q, /* bf89d6faf649061848ed7f704184fb0e */ +/* sin(x) = 0.3f55dda9e62aed7513bd7b8e6a3d1635dd5676648d7db525898d7086af9330f03c7f285442a */ + 2.47403959254522929596848704849389203e-01Q, /* 3ffcfaaeed4f31576ba89debdc7351e9 */ +-7.36487001108599532943597115275811618e-36Q, /* bf8a39445531336e50495b4ece51ef2a */ + +/* x = 2.57812500000000000000000000000000000e-01 3ffd0800000000000000000000000000 */ +/* cos(x) = 0.f78a098069792daabc9ee42591b7c5a68cb1ab822aeb446b3311b4ba5371b8970e2c1547ad7 */ + 9.66950029230677822008341623610531503e-01Q, /* 3ffeef141300d2f25b55793dc84b2370 */ +-4.38972214432792412062088059990480514e-35Q, /* bf8cd2cb9a72a3eea8a5dca667725a2d */ +/* sin(x) = 0.414572fd94556e6473d620271388dd47c0ba050cdb5270112e3e370e8c4705ae006426fb5d5 */ + 2.54965960415878467487556574864872628e-01Q, /* 3ffd0515cbf65155b991cf58809c4e23 */ + 2.20280377918534721005071688328074154e-35Q, /* 3f8bd47c0ba050cdb5270112e3e370e9 */ + +/* x = 2.65625000000000000000000000000000000e-01 3ffd1000000000000000000000000000 */ +/* cos(x) = 0.f7058fde0788dfc805b8fe88789e4f4253e3c50afe8b22f41159620ab5940ff7df9557c0d1f */ + 9.64928619104771009581074665315748371e-01Q, /* 3ffeee0b1fbc0f11bf900b71fd10f13d */ +-3.66685832670820775002475545602761113e-35Q, /* bf8c85ed60e1d7a80ba6e85f7534efaa */ +/* sin(x) = 0.4334033bcd90d6604f5f36c1d4b84451a87150438275b77470b50e5b968fa7962b5ffb379b7 */ + 2.62512399769153281450949626395692931e-01Q, /* 3ffd0cd00cef364359813d7cdb0752e1 */ + 3.24923677072031064673177178571821843e-36Q, /* 3f89146a1c5410e09d6ddd1c2d4396e6 */ + +/* x = 2.73437500000000000000000000000000000e-01 3ffd1800000000000000000000000000 */ +/* cos(x) = 0.f67d3a26af7d07aa4bd6d42af8c0067fefb96d5b46c031eff53627f215ea3242edc3f2e13eb */ + 9.62848314709379699899701093480214365e-01Q, /* 3ffeecfa744d5efa0f5497ada855f180 */ + 4.88986966383343450799422013051821394e-36Q, /* 3f899ffbee5b56d1b00c7bfd4d89fc85 */ +/* sin(x) = 0.452186aa5377ab20bbf2524f52e3a06a969f47166ab88cf88c111ad12c55941021ef3317a1a */ + 2.70042816718585031552755063618827102e-01Q, /* 3ffd14861aa94ddeac82efc9493d4b8f */ +-2.37608892440611310321138680065803162e-35Q, /* bf8bf956960b8e99547730773eee52ed */ + +/* x = 2.81250000000000000000000000000000000e-01 3ffd2000000000000000000000000000 */ +/* cos(x) = 0.f5f10a7bb77d3dfa0c1da8b57842783280d01ce3c0f82bae3b9d623c168d2e7c29977994451 */ + 9.60709243015561903066659350581313472e-01Q, /* 3ffeebe214f76efa7bf4183b516af085 */ +-5.87011558231583960712013351601221840e-36Q, /* bf89f35fcbf8c70fc1f5147118a770fa */ +/* sin(x) = 0.470df5931ae1d946076fe0dcff47fe31bb2ede618ebc607821f8462b639e1f4298b5ae87fd3 */ + 2.77556751646336325922023446828128568e-01Q, /* 3ffd1c37d64c6b8765181dbf8373fd20 */ +-1.35848595468998128214344668770082997e-36Q, /* bf87ce44d1219e71439f87de07b9d49c */ + +/* x = 2.89062500000000000000000000000000000e-01 3ffd2800000000000000000000000000 */ +/* cos(x) = 0.f561030ddd7a78960ea9f4a32c6521554995667f5547bafee9ec48b3155cdb0f7fd00509713 */ + 9.58511534581228627301969408154919822e-01Q, /* 3ffeeac2061bbaf4f12c1d53e94658ca */ + 2.50770779371636481145735089393154404e-35Q, /* 3f8c0aaa4cab33faaa3dd7f74f624599 */ +/* sin(x) = 0.48f948446abcd6b0f7fccb100e7a1b26eccad880b0d24b59948c7cdd49514d44b933e6985c2 */ + 2.85053745940547424587763033323252561e-01Q, /* 3ffd23e52111aaf35ac3dff32c4039e8 */ + 2.04269325885902918802700123680403749e-35Q, /* 3f8bb26eccad880b0d24b59948c7cdd5 */ + +/* x = 2.96875000000000000000000000000000000e-01 3ffd3000000000000000000000000000 */ +/* cos(x) = 0.f4cd261d3e6c15bb369c8758630d2ac00b7ace2a51c0631bfeb39ed158ba924cc91e259c195 */ + 9.56255323543175296975599942263028361e-01Q, /* 3ffee99a4c3a7cd82b766d390eb0c61a */ + 3.21616572190865997051103645135837207e-35Q, /* 3f8c56005bd671528e0318dff59cf68b */ +/* sin(x) = 0.4ae37710fad27c8aa9c4cf96c03519b9ce07dc08a1471775499f05c29f86190aaebaeb9716e */ + 2.92533342023327543624702326493913423e-01Q, /* 3ffd2b8ddc43eb49f22aa7133e5b00d4 */ + 1.93539408668704450308003687950685128e-35Q, /* 3f8b9b9ce07dc08a1471775499f05c2a */ + +/* x = 3.04687500000000000000000000000000000e-01 3ffd3800000000000000000000000000 */ +/* cos(x) = 0.f43575f94d4f6b272f5fb76b14d2a64ab52df1ee8ddf7c651034e5b2889305a9ea9015d758a */ + 9.53940747608894733981324795987611623e-01Q, /* 3ffee86aebf29a9ed64e5ebf6ed629a5 */ + 2.88075689052478602008395972924657164e-35Q, /* 3f8c3255a96f8f746efbe32881a72d94 */ +/* sin(x) = 0.4ccc7a50127e1de0cb6b40c302c651f7bded4f9e7702b0471ae0288d091a37391950907202f */ + 2.99995083378683051163248282011699944e-01Q, /* 3ffd3331e94049f877832dad030c0b19 */ + 1.35174265535697850139283361475571050e-35Q, /* 3f8b1f7bded4f9e7702b0471ae0288d1 */ + +/* x = 3.12500000000000000000000000000000000e-01 3ffd4000000000000000000000000000 */ +/* cos(x) = 0.f399f500c9e9fd37ae9957263dab8877102beb569f101ee4495350868e5847d181d50d3cca2 */ + 9.51567948048172202145488217364270962e-01Q, /* 3ffee733ea0193d3fa6f5d32ae4c7b57 */ + 6.36842628598115658308749288799884606e-36Q, /* 3f8a0ee2057d6ad3e203dc892a6a10d2 */ +/* sin(x) = 0.4eb44a5da74f600207aaa090f0734e288603ffadb3eb2542a46977b105f8547128036dcf7f0 */ + 3.07438514580380850670502958201982091e-01Q, /* 3ffd3ad129769d3d80081eaa8243c1cd */ + 1.06515172423204645839241099453417152e-35Q, /* 3f8ac510c07ff5b67d64a8548d2ef621 */ + +/* x = 3.20312500000000000000000000000000000e-01 3ffd4800000000000000000000000000 */ +/* cos(x) = 0.f2faa5a1b74e82fd61fa05f9177380e8e69b7b15a945e8e5ae1124bf3d12b0617e03af4fab5 */ + 9.49137069684463027665847421762105623e-01Q, /* 3ffee5f54b436e9d05fac3f40bf22ee7 */ + 6.84433965991637152250309190468859701e-37Q, /* 3f86d1cd36f62b528bd1cb5c22497e7a */ +/* sin(x) = 0.509adf9a7b9a5a0f638a8fa3a60a199418859f18b37169a644fdb986c21ecb00133853bc35b */ + 3.14863181319745250865036315126939016e-01Q, /* 3ffd426b7e69ee69683d8e2a3e8e9828 */ + 1.92431240212432926993057705062834160e-35Q, /* 3f8b99418859f18b37169a644fdb986c */ + +/* x = 3.28125000000000000000000000000000000e-01 3ffd5000000000000000000000000000 */ +/* cos(x) = 0.f2578a595224dd2e6bfa2eb2f99cc674f5ea6f479eae2eb580186897ae3f893df1113ca06b8 */ + 9.46648260886053321846099507295532976e-01Q, /* 3ffee4af14b2a449ba5cd7f45d65f33a */ +-4.32906339663000890941529420498824645e-35Q, /* bf8ccc5850ac85c30a8e8a53ff3cbb43 */ +/* sin(x) = 0.5280326c3cf481823ba6bb08eac82c2093f2bce3c4eb4ee3dec7df41c92c8a4226098616075 */ + 3.22268630433386625687745919893188031e-01Q, /* 3ffd4a00c9b0f3d20608ee9aec23ab21 */ +-1.49505897804759263483853908335500228e-35Q, /* bf8b3df6c0d431c3b14b11c213820be3 */ + +/* x = 3.35937500000000000000000000000000000e-01 3ffd5800000000000000000000000000 */ +/* cos(x) = 0.f1b0a5b406b526d886c55feadc8d0dcc8eb9ae2ac707051771b48e05b25b000009660bdb3e3 */ + 9.44101673557004345630017691253124860e-01Q, /* 3ffee3614b680d6a4db10d8abfd5b91a */ + 1.03812535240120229609822461172145584e-35Q, /* 3f8ab991d735c558e0e0a2ee3691c0b6 */ +/* sin(x) = 0.54643b3da29de9b357155eef0f332fb3e66c83bf4dddd9491c5eb8e103ccd92d6175220ed51 */ + 3.29654409930860171914317725126463176e-01Q, /* 3ffd5190ecf68a77a6cd5c557bbc3ccd */ +-1.22606996784743214973082192294232854e-35Q, /* bf8b04c19937c40b22226b6e3a1471f0 */ + +/* x = 3.43750000000000000000000000000000000e-01 3ffd6000000000000000000000000000 */ +/* cos(x) = 0.f105fa4d66b607a67d44e042725204435142ac8ad54dfb0907a4f6b56b06d98ee60f19e557a */ + 9.41497463127881068644511236053670815e-01Q, /* 3ffee20bf49acd6c0f4cfa89c084e4a4 */ + 3.20709366603165602071590241054884900e-36Q, /* 3f8910d450ab22b5537ec241e93dad5b */ +/* sin(x) = 0.5646f27e8bd65cbe3a5d61ff06572290ee826d9674a00246b05ae26753cdfc90d9ce81a7d02 */ + 3.37020069022253076261281754173810024e-01Q, /* 3ffd591bc9fa2f5972f8e97587fc195d */ +-2.21435756148839473677777545049890664e-35Q, /* bf8bd6f117d92698b5ffdb94fa51d98b */ + +/* x = 3.51562500000000000000000000000000000e-01 3ffd6800000000000000000000000000 */ +/* cos(x) = 0.f0578ad01ede707fa39c09dc6b984afef74f3dc8d0efb0f4c5a6b13771145b3e0446fe33887 */ + 9.38835788546265488632578305984712554e-01Q, /* 3ffee0af15a03dbce0ff473813b8d731 */ +-3.98758068773974031348585072752245458e-35Q, /* bf8ca808458611b978827859d2ca7644 */ +/* sin(x) = 0.582850a41e1dd46c7f602ea244cdbbbfcdfa8f3189be794dda427ce090b5f85164f1f80ac13 */ + 3.44365158145698408207172046472223747e-01Q, /* 3ffd60a14290787751b1fd80ba891337 */ +-3.19791885005480924937758467594051927e-36Q, /* bf89100c815c339d9061ac896f60c7dc */ + +/* x = 3.59375000000000000000000000000000000e-01 3ffd7000000000000000000000000000 */ +/* cos(x) = 0.efa559f5ec3aec3a4eb03319278a2d41fcf9189462261125fe6147b078f1daa0b06750a1654 */ + 9.36116812267055290294237411019508588e-01Q, /* 3ffedf4ab3ebd875d8749d6066324f14 */ + 3.40481591236710658435409862439032162e-35Q, /* 3f8c6a0fe7c8c4a31130892ff30a3d84 */ +/* sin(x) = 0.5a084e28e35fda2776dfdbbb5531d74ced2b5d17c0b1afc4647529d50c295e36d8ceec126c1 */ + 3.51689228994814059222584896955547016e-01Q, /* 3ffd682138a38d7f689ddb7f6eed54c7 */ + 1.75293433418270210567525412802083294e-35Q, /* 3f8b74ced2b5d17c0b1afc4647529d51 */ + +/* x = 3.67187500000000000000000000000000000e-01 3ffd7800000000000000000000000000 */ +/* cos(x) = 0.eeef6a879146af0bf9b95ea2ea0ac0d3e2e4d7e15d93f48cbd41bf8e4fded40bef69e19eafa */ + 9.33340700242548435655299229469995527e-01Q, /* 3ffeddded50f228d5e17f372bd45d416 */ +-4.75255707251679831124800898831382223e-35Q, /* bf8cf960e8d940f513605b9a15f2038e */ +/* sin(x) = 0.5be6e38ce8095542bc14ee9da0d36483e6734bcab2e07624188af5653f114eeb46738fa899d */ + 3.58991834546065053677710299152868941e-01Q, /* 3ffd6f9b8e33a025550af053ba76834e */ +-2.06772389262723368139416970257112089e-35Q, /* bf8bb7c198cb4354d1f89dbe7750a9ac */ + +/* x = 3.75000000000000000000000000000000000e-01 3ffd8000000000000000000000000000 */ +/* cos(x) = 0.ee35bf5ccac89052cd91ddb734d3a47e262e3b609db604e217053803be0091e76daf28a89b7 */ + 9.30507621912314291149476792229555481e-01Q, /* 3ffedc6b7eb9959120a59b23bb6e69a7 */ + 2.74541088551732982573335285685416092e-35Q, /* 3f8c23f13171db04edb02710b829c01e */ +/* sin(x) = 0.5dc40955d9084f48a94675a2498de5d851320ff5528a6afb3f2e24de240fce6cbed1ba0ccd6 */ + 3.66272529086047561372909351716264177e-01Q, /* 3ffd7710255764213d22a519d6892638 */ +-1.96768433534936592675897818253108989e-35Q, /* bf8ba27aecdf00aad759504c0d1db21e */ + +/* x = 3.82812500000000000000000000000000000e-01 3ffd8800000000000000000000000000 */ +/* cos(x) = 0.ed785b5c44741b4493c56bcb9d338a151c6f6b85d8f8aca658b28572c162b199680eb9304da */ + 9.27617750192851909628030798799961350e-01Q, /* 3ffedaf0b6b888e83689278ad7973a67 */ + 7.58520371916345756281201167126854712e-36Q, /* 3f8a42a38ded70bb1f1594cb1650ae58 */ +/* sin(x) = 0.5f9fb80f21b53649c432540a50e22c53057ff42ae0fdf1307760dc0093f99c8efeb2fbd7073 */ + 3.73530868238692946416839752660848112e-01Q, /* 3ffd7e7ee03c86d4d92710c950294389 */ +-1.48023494778986556048879113411517128e-35Q, /* bf8b3acfa800bd51f020ecf889f23ff7 */ + +/* x = 3.90625000000000000000000000000000000e-01 3ffd9000000000000000000000000000 */ +/* cos(x) = 0.ecb7417b8d4ee3fec37aba4073aa48f1f14666006fb431d9671303c8100d10190ec8179c41d */ + 9.24671261467036098502113014560138771e-01Q, /* 3ffed96e82f71a9dc7fd86f57480e755 */ +-4.14187124860031825108649347251175815e-35Q, /* bf8cb87075cccffc825e7134c767e1bf */ +/* sin(x) = 0.6179e84a09a5258a40e9b5face03e525f8b5753cd0105d93fe6298010c3458e84d75fe420e9 */ + 3.80766408992390192057200703388896675e-01Q, /* 3ffd85e7a1282694962903a6d7eb3810 */ +-2.02009541175208636336924533372496107e-35Q, /* bf8bada074a8ac32fefa26c019d67fef */ + +/* x = 3.98437500000000000000000000000000000e-01 3ffd9800000000000000000000000000 */ +/* cos(x) = 0.ebf274bf0bda4f62447e56a093626798d3013b5942b1abfd155aacc9dc5c6d0806a20d6b9c1 */ + 9.21668335573351918175411368202712714e-01Q, /* 3ffed7e4e97e17b49ec488fcad4126c5 */ +-1.83587995433957622948710263541479322e-35Q, /* bf8b8672cfec4a6bd4e5402eaa553362 */ +/* sin(x) = 0.6352929dd264bd44a02ea766325d8aa8bd9695fc8def3caefba5b94c9a3c873f7b2d3776ead */ + 3.87978709727025046051079690813741960e-01Q, /* 3ffd8d4a4a774992f51280ba9d98c976 */ + 8.01904783870935075844443278617586301e-36Q, /* 3f8a5517b2d2bf91bde795df74b72993 */ + +/* x = 4.06250000000000000000000000000000000e-01 3ffda000000000000000000000000000 */ +/* cos(x) = 0.eb29f839f201fd13b93796827916a78f15c85230a4e8ea4b21558265a14367e1abb4c30695a */ + 9.18609155794918267837824977718549863e-01Q, /* 3ffed653f073e403fa27726f2d04f22d */ + 2.97608282778274433460057745798409849e-35Q, /* 3f8c3c78ae429185274752590aac132d */ +/* sin(x) = 0.6529afa7d51b129631ec197c0a840a11d7dc5368b0a47956feb285caa8371c4637ef17ef01b */ + 3.95167330240934236244832640419653657e-01Q, /* 3ffd94a6be9f546c4a58c7b065f02a10 */ + 7.57560031388312550940040194042627704e-36Q, /* 3f8a423afb8a6d16148f2adfd650b955 */ + +/* x = 4.14062500000000000000000000000000000e-01 3ffda800000000000000000000000000 */ +/* cos(x) = 0.ea5dcf0e30cf03e6976ef0b1ec26515fba47383855c3b4055a99b5e86824b2cd1a691fdca7b */ + 9.15493908848301228563917732180221882e-01Q, /* 3ffed4bb9e1c619e07cd2edde163d84d */ +-3.50775517955306954815090901168305659e-35Q, /* bf8c75022dc63e3d51e25fd52b3250bd */ +/* sin(x) = 0.66ff380ba0144109e39a320b0a3fa5fd65ea0585bcbf9b1a769a9b0334576c658139e1a1cbe */ + 4.02331831777773111217105598880982387e-01Q, /* 3ffd9bfce02e805104278e68c82c28ff */ +-1.95678722882848174723569916504871563e-35Q, /* bf8ba029a15fa7a434064e5896564fcd */ + +/* x = 4.21875000000000000000000000000000000e-01 3ffdb000000000000000000000000000 */ +/* cos(x) = 0.e98dfc6c6be031e60dd3089cbdd18a75b1f6b2c1e97f79225202f03dbea45b07a5ec4efc062 */ + 9.12322784872117846492029542047341734e-01Q, /* 3ffed31bf8d8d7c063cc1ba611397ba3 */ + 7.86903886556373674267948132178845568e-36Q, /* 3f8a4eb63ed6583d2fef244a405e07b8 */ +/* sin(x) = 0.68d32473143327973bc712bcc4ccddc47630d755850c0655243b205934dc49ffed8eb76adcb */ + 4.09471777053295066122694027011452236e-01Q, /* 3ffda34c91cc50cc9e5cef1c4af31333 */ + 2.23945241468457597921655785729821354e-35Q, /* 3f8bdc47630d755850c0655243b20593 */ + +/* x = 4.29687500000000000000000000000000000e-01 3ffdb800000000000000000000000000 */ +/* cos(x) = 0.e8ba8393eca7821aa563d83491b6101189b3b101c3677f73d7bad7c10f9ee02b7ab4009739a */ + 9.09095977415431051650381735684476417e-01Q, /* 3ffed1750727d94f04354ac7b069236c */ + 1.20886014028444155733776025085677953e-35Q, /* 3f8b01189b3b101c3677f73d7bad7c11 */ +/* sin(x) = 0.6aa56d8e8249db4eb60a761fe3f9e559be456b9e13349ca99b0bfb787f22b95db3b70179615 */ + 4.16586730282041119259112448831069657e-01Q, /* 3ffdaa95b63a09276d3ad829d87f8fe8 */ +-2.00488106831998813675438269796963612e-35Q, /* bf8baa641ba9461eccb635664f404878 */ + +/* x = 4.37500000000000000000000000000000000e-01 3ffdc000000000000000000000000000 */ +/* cos(x) = 0.e7e367d2956cfb16b6aa11e5419cd0057f5c132a6455bf064297e6a76fe2b72bb630d6d50ff */ + 9.05813683425936420744516660652700258e-01Q, /* 3ffecfc6cfa52ad9f62d6d5423ca833a */ +-3.60950307605941169775676563004467163e-35Q, /* bf8c7fd4051f66acdd5207cdeb40cac5 */ +/* sin(x) = 0.6c760c14c8585a51dbd34660ae6c52ac7036a0b40887a0b63724f8b4414348c3063a637f457 */ + 4.23676257203938010361683988031102480e-01Q, /* 3ffdb1d83053216169476f4d1982b9b1 */ + 1.40484456388654470329473096579312595e-35Q, /* 3f8b2ac7036a0b40887a0b63724f8b44 */ + +/* x = 4.45312500000000000000000000000000000e-01 3ffdc800000000000000000000000000 */ +/* cos(x) = 0.e708ac84d4172a3e2737662213429e14021074d7e702e77d72a8f1101a7e70410df8273e9aa */ + 9.02476103237941504925183272675895999e-01Q, /* 3ffece115909a82e547c4e6ecc442685 */ + 2.26282899501344419018306295680210602e-35Q, /* 3f8be14021074d7e702e77d72a8f1102 */ +/* sin(x) = 0.6e44f8c36eb10a1c752d093c00f4d47ba446ac4c215d26b0316442f168459e677d06e7249e3 */ + 4.30739925110803197216321517850849190e-01Q, /* 3ffdb913e30dbac42871d4b424f003d3 */ + 1.54096780001629398850891218396761548e-35Q, /* 3f8b47ba446ac4c215d26b0316442f17 */ + +/* x = 4.53125000000000000000000000000000000e-01 3ffdd000000000000000000000000000 */ +/* cos(x) = 0.e62a551594b970a770b15d41d4c0e483e47aca550111df6966f9e7ac3a94ae49e6a71eb031e */ + 8.99083440560138456216544929209379307e-01Q, /* 3ffecc54aa2b2972e14ee162ba83a982 */ +-2.06772615490904370666670275154751976e-35Q, /* bf8bb7c1b8535aafeee209699061853c */ +/* sin(x) = 0.70122c5ec5028c8cff33abf4fd340ccc382e038379b09cf04f9a52692b10b72586060cbb001 */ + 4.37777302872755132861618974702796680e-01Q, /* 3ffdc048b17b140a3233fcceafd3f4d0 */ + 9.62794364503442612477117426033922467e-36Q, /* 3f8a998705c0706f36139e09f34a4d25 */ + +/* x = 4.60937500000000000000000000000000000e-01 3ffdd800000000000000000000000000 */ +/* cos(x) = 0.e54864fe33e8575cabf5bd0e5cf1b1a8bc7c0d5f61702450fa6b6539735820dd2603ae355d5 */ + 8.95635902463170698900570000446256350e-01Q, /* 3ffeca90c9fc67d0aeb957eb7a1cb9e3 */ + 3.73593741659866883088620495542311808e-35Q, /* 3f8c8d45e3e06afb0b812287d35b29cc */ +/* sin(x) = 0.71dd9fb1ff4677853acb970a9f6729c6e3aac247b1c57cea66c77413f1f98e8b9e98e49d851 */ + 4.44787960964527211433056012529525211e-01Q, /* 3ffdc7767ec7fd19de14eb2e5c2a7d9d */ +-1.67187936511493678007508371613954899e-35Q, /* bf8b6391c553db84e3a831599388bec1 */ + +/* x = 4.68750000000000000000000000000000000e-01 3ffde000000000000000000000000000 */ +/* cos(x) = 0.e462dfc670d421ab3d1a15901228f146a0547011202bf5ab01f914431859aef577966bc4fa4 */ + 8.92133699366994404723900253723788575e-01Q, /* 3ffec8c5bf8ce1a843567a342b202452 */ +-1.10771937602567314732693079264692504e-35Q, /* bf8ad72bf571fddbfa814a9fc0dd779d */ +/* sin(x) = 0.73a74b8f52947b681baf6928eb3fb021769bf4779bad0e3aa9b1cdb75ec60aad9fc63ff19d5 */ + 4.51771471491683776581688750134062870e-01Q, /* 3ffdce9d2e3d4a51eda06ebda4a3acff */ +-1.19387223016472295893794387275284505e-35Q, /* bf8afbd12c81710c8a5e38aac9c64914 */ + +/* x = 4.76562500000000000000000000000000000e-01 3ffde800000000000000000000000000 */ +/* cos(x) = 0.e379c9045f29d517c4808aa497c2057b2b3d109e76c0dc302d4d0698b36e3f0bdbf33d8e952 */ + 8.88577045028035543317609023116020980e-01Q, /* 3ffec6f39208be53aa2f890115492f84 */ + 4.12354278954664731443813655177022170e-36Q, /* 3f895ecacf44279db0370c0b5341a62d */ +/* sin(x) = 0.756f28d011d98528a44a75fc29c779bd734ecdfb582fdb74b68a4c4c4be54cfd0b2d3ad292f */ + 4.58727408216736592377295028972874773e-01Q, /* 3ffdd5bca340476614a29129d7f0a71e */ +-4.70946994194182908929251719575431779e-36Q, /* bf8990a32c4c8129f40922d25d6ceced */ + +/* x = 4.84375000000000000000000000000000000e-01 3ffdf000000000000000000000000000 */ +/* cos(x) = 0.e28d245c58baef72225e232abc003c4366acd9eb4fc2808c2ab7fe7676cf512ac7f945ae5fb */ + 8.84966156526143291697296536966647926e-01Q, /* 3ffec51a48b8b175dee444bc46557800 */ + 4.53370570288325630442037826313462165e-35Q, /* 3f8ce21b3566cf5a7e14046155bff3b4 */ +/* sin(x) = 0.77353054ca72690d4c6e171fd99e6b39fa8e1ede5f052fd2964534c75340970a3a9cd3c5c32 */ + 4.65655346585160182681199512507546779e-01Q, /* 3ffddcd4c15329c9a43531b85c7f667a */ +-1.56282598978971872478619772155305961e-35Q, /* bf8b4c60571e121a0fad02d69bacb38b */ + +/* x = 4.92187500000000000000000000000000000e-01 3ffdf800000000000000000000000000 */ +/* cos(x) = 0.e19cf580eeec046aa1422fa74807ecefb2a1911c94e7b5f20a00f70022d940193691e5bd790 */ + 8.81301254251340599140161908298100173e-01Q, /* 3ffec339eb01ddd808d542845f4e9010 */ +-1.43419192312116687783945619009629445e-35Q, /* bf8b3104d5e6ee36b184a0df5ff08ffe */ +/* sin(x) = 0.78f95b0560a9a3bd6df7bd981dc38c61224d08bc20631ea932e605e53b579e9e0767dfcbbcb */ + 4.72554863751304451146551317808516942e-01Q, /* 3ffde3e56c1582a68ef5b7def660770e */ + 9.31324774957768018850224267625371204e-36Q, /* 3f8a8c2449a117840c63d5265cc0bca7 */ + +/* x = 5.00000000000000000000000000000000000e-01 3ffe0000000000000000000000000000 */ +/* cos(x) = 0.e0a94032dbea7cedbddd9da2fafad98556566b3a89f43eabd72350af3e8b19e801204d8fe2e */ + 8.77582561890372716116281582603829681e-01Q, /* 3ffec1528065b7d4f9db7bbb3b45f5f6 */ +-2.89484960181363924855192538540698851e-35Q, /* bf8c33d54d4ca62bb05e0aa146e57a86 */ +/* sin(x) = 0.7abba1d12c17bfa1d92f0d93f60ded9992f45b4fcaf13cd58b303693d2a0db47db35ae8a3a9 */ + 4.79425538604203000273287935215571402e-01Q, /* 3ffdeaee8744b05efe8764bc364fd838 */ +-1.38426977616718318950175848639381926e-35Q, /* bf8b2666d0ba4b0350ec32a74cfc96c3 */ + +/* x = 5.07812500000000000000000000000000000e-01 3ffe0400000000000000000000000000 */ +/* cos(x) = 0.dfb20840f3a9b36f7ae2c515342890b5ec583b8366cc2b55029e95094d31112383f2553498b */ + 8.73810306413054508282556837071377159e-01Q, /* 3ffebf641081e75366def5c58a2a6851 */ + 1.25716864497849302237218128599994785e-35Q, /* 3f8b0b5ec583b8366cc2b55029e95095 */ +/* sin(x) = 0.7c7bfdaf13e5ed17212f8a7525bfb113aba6c0741b5362bb8d59282a850b63716bca0c910f0 */ + 4.86266951793275574311011306895834993e-01Q, /* 3ffdf1eff6bc4f97b45c84be29d496ff */ +-1.12269393250914752644352376448094271e-35Q, /* bf8add8a8b27f17c9593a88e54dafaaf */ + +/* x = 5.15625000000000000000000000000000000e-01 3ffe0800000000000000000000000000 */ +/* cos(x) = 0.deb7518814a7a931bbcc88c109cd41c50bf8bb48f20ae8c36628d1d3d57574f7dc58f27d91c */ + 8.69984718058417388828915599901466243e-01Q, /* 3ffebd6ea310294f526377991182139b */ +-4.68168638300575626782741319792183837e-35Q, /* bf8cf1d7a03a25b86fa8b9e4ceb97161 */ +/* sin(x) = 0.7e3a679daaf25c676542bcb4028d0964172961c921823a4ef0c3a9070d886dbd073f6283699 */ + 4.93078685753923057265136552753487121e-01Q, /* 3ffdf8e99e76abc9719d950af2d00a34 */ + 7.06498693112535056352301101088624950e-36Q, /* 3f8a2c82e52c3924304749de187520e2 */ + +/* x = 5.23437500000000000000000000000000000e-01 3ffe0c00000000000000000000000000 */ +/* cos(x) = 0.ddb91ff318799172bd2452d0a3889f5169c64a0094bcf0b8aa7dcf0d7640a2eba68955a80be */ + 8.66106030320656714696616831654267220e-01Q, /* 3ffebb723fe630f322e57a48a5a14711 */ + 2.35610597588322493119667003904687628e-35Q, /* 3f8bf5169c64a0094bcf0b8aa7dcf0d7 */ +/* sin(x) = 0.7ff6d8a34bd5e8fa54c97482db5159df1f24e8038419c0b448b9eea8939b5d4dfcf40900257 */ + 4.99860324733013463819556536946425724e-01Q, /* 3ffdffdb628d2f57a3e95325d20b6d45 */ + 1.94636052312235297538564591686645139e-35Q, /* 3f8b9df1f24e8038419c0b448b9eea89 */ + +/* x = 5.31250000000000000000000000000000000e-01 3ffe1000000000000000000000000000 */ +/* cos(x) = 0.dcb7777ac420705168f31e3eb780ce9c939ecada62843b54522f5407eb7f21e556059fcd734 */ + 8.62174479934880504367162510253324274e-01Q, /* 3ffeb96eeef58840e0a2d1e63c7d6f02 */ +-3.71556818317533582234562471835771823e-35Q, /* bf8c8b1b6309a92cebde255d6e855fc1 */ +/* sin(x) = 0.81b149ce34caa5a4e650f8d09fd4d6aa74206c32ca951a93074c83b2d294d25dbb0f7fdfad2 */ + 5.06611454814257367642296000893867192e-01Q, /* 3ffe0362939c69954b49cca1f1a13faa */ +-3.10963699824274155702706043065967062e-35Q, /* bf8c4aac5efc9e69ab572b67c59be269 */ + +/* x = 5.39062500000000000000000000000000000e-01 3ffe1400000000000000000000000000 */ +/* cos(x) = 0.dbb25c25b8260c14f6e7bc98ec991b70c65335198b0ab628bad20cc7b229d4dd62183cfa055 */ + 8.58190306862660347046629564970494649e-01Q, /* 3ffeb764b84b704c1829edcf7931d932 */ + 2.06439574601190798155563653000684861e-35Q, /* 3f8bb70c65335198b0ab628bad20cc7b */ +/* sin(x) = 0.8369b434a372da7eb5c8a71fe36ce1e0b2b493f6f5cb2e38bcaec2a556b3678c401940d1c3c */ + 5.13331663943471218288801270215706878e-01Q, /* 3ffe06d3686946e5b4fd6b914e3fc6da */ +-2.26614796466671970772244932848067224e-35Q, /* bf8be1f4d4b6c090a34d1c743513d5ab */ + +/* x = 5.46875000000000000000000000000000000e-01 3ffe1800000000000000000000000000 */ +/* cos(x) = 0.daa9d20860827063fde51c09e855e9932e1b17143e7244fd267a899d41ae1f3bc6a0ec42e27 */ + 8.54153754277385385143451785105103176e-01Q, /* 3ffeb553a410c104e0c7fbca3813d0ac */ +-1.68707534013095152873222061722573172e-35Q, /* bf8b66cd1e4e8ebc18dbb02d9857662c */ +/* sin(x) = 0.852010f4f0800521378bd8dd614753d080c2e9e0775ffc609947b9132f5357404f464f06a58 */ + 5.20020541953727004760213699874674730e-01Q, /* 3ffe0a4021e9e1000a426f17b1bac28f */ +-3.32415021330884924833711842866896734e-35Q, /* bf8c617bf9e8b0fc45001cfb35c23767 */ + +/* x = 5.54687500000000000000000000000000000e-01 3ffe1c00000000000000000000000000 */ +/* cos(x) = 0.d99ddd44e44a43d4d4a3a3ed95204106fd54d78e8c7684545c0da0b7c2c72be7a89b7c182ad */ + 8.50065068549420263957072899177793617e-01Q, /* 3ffeb33bba89c89487a9a94747db2a41 */ +-4.73753917078785974356016104842568442e-35Q, /* bf8cf7c81559438b9c4bdd5d1f92fa42 */ +/* sin(x) = 0.86d45935ab396cb4e421e822dee54f3562dfcefeaa782184c23401d231f5ad981a1cc195b18 */ + 5.26677680590386730710789410624833901e-01Q, /* 3ffe0da8b26b5672d969c843d045bdcb */ +-3.67066148195515214077582496518566735e-35Q, /* bf8c8654e901880aac3ef3d9ee5ff16e */ + +/* x = 5.62500000000000000000000000000000000e-01 3ffe2000000000000000000000000000 */ +/* cos(x) = 0.d88e820b1526311dd561efbc0c1a9a5375eb26f65d246c5744b13ca26a7e0fd42556da843c8 */ + 8.45924499231067954459723078597493262e-01Q, /* 3ffeb11d04162a4c623baac3df781835 */ + 1.98054947141989878179164342925274053e-35Q, /* 3f8ba5375eb26f65d246c5744b13ca27 */ +/* sin(x) = 0.88868625b4e1dbb2313310133022527200c143a5cb16637cb7daf8ade82459ff2e98511f40f */ + 5.33302673536020173329131103308161529e-01Q, /* 3ffe110d0c4b69c3b764626620266045 */ +-3.42715291319551615996993795226755157e-35Q, /* bf8c6c6ff9f5e2d1a74ce41a41283a91 */ + +/* x = 5.70312500000000000000000000000000000e-01 3ffe2400000000000000000000000000 */ +/* cos(x) = 0.d77bc4985e93a607c9d868b906bbc6bbe3a04258814acb0358468b826fc91bd4d814827f65e */ + 8.41732299041338366963111794309701085e-01Q, /* 3ffeaef78930bd274c0f93b0d1720d78 */ +-4.30821936750410026005408345400225948e-35Q, /* bf8cca20e2fded3bf5a9a7e53dcba3ed */ +/* sin(x) = 0.8a3690fc5bfc11bf9535e2739a8512f448a41251514bbed7fc18d530f9b4650fcbb2861b0aa */ + 5.39895116435204405041660709903993340e-01Q, /* 3ffe146d21f8b7f8237f2a6bc4e7350a */ + 1.42595803521626714477253741404712093e-35Q, /* 3f8b2f448a41251514bbed7fc18d5310 */ + +/* x = 5.78125000000000000000000000000000000e-01 3ffe2800000000000000000000000000 */ +/* cos(x) = 0.d665a937b4ef2b1f6d51bad6d988a4419c1d7051faf31a9efa151d7631117efac03713f950a */ + 8.37488723850523685315353348917240617e-01Q, /* 3ffeaccb526f69de563edaa375adb311 */ + 2.72761997872084533045777718677326179e-35Q, /* 3f8c220ce0eb828fd798d4f7d0a8ebb2 */ +/* sin(x) = 0.8be472f9776d809af2b88171243d63d66dfceeeb739cc894e023fbc165a0e3f26ff729c5d57 */ + 5.46454606919203564403349553749411001e-01Q, /* 3ffe17c8e5f2eedb0135e57102e2487b */ +-2.11870230730160315420936523771864858e-35Q, /* bf8bc29920311148c63376b1fdc043ea */ + +/* x = 5.85937500000000000000000000000000000e-01 3ffe2c00000000000000000000000000 */ +/* cos(x) = 0.d54c3441844897fc8f853f0655f1ba695eba9fbfd7439dbb1171d862d9d9146ca5136f825ac */ + 8.33194032664581363070224042208032321e-01Q, /* 3ffeaa98688308912ff91f0a7e0cabe3 */ + 4.39440050052045486567668031751259899e-35Q, /* 3f8cd34af5d4fdfeba1cedd88b8ec317 */ +/* sin(x) = 0.8d902565817ee7839bce3cd128060119492cd36d42d82ada30d7f8bde91324808377ddbf5d4 */ + 5.52980744630527369849695082681623667e-01Q, /* 3ffe1b204acb02fdcf07379c79a2500c */ + 8.26624790417342895897164123189984127e-37Q, /* 3f8719492cd36d42d82ada30d7f8bde9 */ + +/* x = 5.93750000000000000000000000000000000e-01 3ffe3000000000000000000000000000 */ +/* cos(x) = 0.d42f6a1b9f0168cdf031c2f63c8d9304d86f8d34cb1d5fccb68ca0f2241427fc18d1fd5bbdf */ + 8.28848487609325734810171790119116638e-01Q, /* 3ffea85ed4373e02d19be06385ec791b */ + 1.43082508100496581719048175506239770e-35Q, /* 3f8b304d86f8d34cb1d5fccb68ca0f22 */ +/* sin(x) = 0.8f39a191b2ba6122a3fa4f41d5a3ffd421417d46f19a22230a14f7fcc8fce5c75b4b28b29d1 */ + 5.59473131247366877384844006003116688e-01Q, /* 3ffe1e7343236574c24547f49e83ab48 */ +-1.28922620524163922306886952100992796e-37Q, /* bf845ef5f415c8732eeee7af584019b8 */ + +/* x = 6.01562500000000000000000000000000000e-01 3ffe3400000000000000000000000000 */ +/* cos(x) = 0.d30f4f392c357ab0661c5fa8a7d9b26627846fef214b1d19a22379ff9eddba087cf410eb097 */ + 8.24452353914429207485643598212356053e-01Q, /* 3ffea61e9e72586af560cc38bf514fb3 */ + 3.79160239225080026987031418939026741e-35Q, /* 3f8c93313c237f790a58e8cd111bcffd */ +/* sin(x) = 0.90e0e0d81ca678796cc92c8ea8c2815bc72ca78abe571bfa8576aacc571e096a33237e0e830 */ + 5.65931370507905990773159095689276114e-01Q, /* 3ffe21c1c1b0394cf0f2d992591d5185 */ + 1.02202775968053982310991962521535027e-36Q, /* 3f875bc72ca78abe571bfa8576aacc57 */ + +/* x = 6.09375000000000000000000000000000000e-01 3ffe3800000000000000000000000000 */ +/* cos(x) = 0.d1ebe81a95ee752e48a26bcd32d6e922d7eb44b8ad2232f6930795e84b56317269b9dd1dfa6 */ + 8.20005899897234008255550633876556043e-01Q, /* 3ffea3d7d0352bdcea5c9144d79a65ae */ +-1.72008811955230823416724332297991247e-35Q, /* bf8b6dd2814bb4752ddcd096cf86a17b */ +/* sin(x) = 0.9285dc9bc45dd9ea3d02457bcce59c4175aab6ff7929a8d287195525fdace200dba032874fb */ + 5.72355068234507240384953706824503608e-01Q, /* 3ffe250bb93788bbb3d47a048af799cb */ + 2.12572273479933123944580199464514529e-35Q, /* 3f8bc4175aab6ff7929a8d2871955260 */ + +/* x = 6.17187500000000000000000000000000000e-01 3ffe3c00000000000000000000000000 */ +/* cos(x) = 0.d0c5394d772228195e25736c03574707de0af1ca344b13bd3914bfe27518e9e426f5deff1e1 */ + 8.15509396946375476876345384201386217e-01Q, /* 3ffea18a729aee445032bc4ae6d806af */ +-4.28589138410712954051679139949341961e-35Q, /* bf8cc7c10fa871ae5da76216375a00ec */ +/* sin(x) = 0.94288e48bd0335fc41c4cbd2920497a8f5d1d8185c99fa0081f90c27e2a53ffdd208a0dbe69 */ + 5.78743832357770354521111378581385347e-01Q, /* 3ffe28511c917a066bf8838997a52409 */ + 1.77998063432551282609698670002456093e-35Q, /* 3f8b7a8f5d1d8185c99fa0081f90c27e */ + +/* x = 6.25000000000000000000000000000000000e-01 3ffe4000000000000000000000000000 */ +/* cos(x) = 0.cf9b476c897c25c5bfe750dd3f308eaf7bcc1ed00179a256870f4200445043dcdb1974b5878 */ + 8.10963119505217902189534803941080724e-01Q, /* 3ffe9f368ed912f84b8b7fcea1ba7e61 */ + 1.10481292856794436426051402418804358e-35Q, /* 3f8ad5ef7983da002f344ad0e1e84009 */ +/* sin(x) = 0.95c8ef544210ec0b91c49bd2aa09e8515fa61a156ebb10f5f8c232a6445b61ebf3c2ec268f9 */ + 5.85097272940462154805399314150080459e-01Q, /* 3ffe2b91dea88421d817238937a55414 */ +-1.78164576278056195136525335403380464e-35Q, /* bf8b7aea059e5ea9144ef0a073dcd59c */ + +/* x = 6.32812500000000000000000000000000000e-01 3ffe4400000000000000000000000000 */ +/* cos(x) = 0.ce6e171f92f2e27f32225327ec440ddaefae248413efc0e58ceee1ae369aabe73f88c87ed1a */ + 8.06367345055103913698795406077297399e-01Q, /* 3ffe9cdc2e3f25e5c4fe6444a64fd888 */ + 1.04235088143133625463876245029180850e-35Q, /* 3f8abb5df5c490827df81cb19ddc35c7 */ +/* sin(x) = 0.9766f93cd18413a6aafc1cfc6fc28abb6817bf94ce349901ae3f48c3215d3eb60acc5f78903 */ + 5.91415002201316315087000225758031236e-01Q, /* 3ffe2ecdf279a308274d55f839f8df85 */ + 8.07390238063560077355762466502569603e-36Q, /* 3f8a576d02f7f299c6932035c7e91864 */ + +/* x = 6.40625000000000000000000000000000000e-01 3ffe4800000000000000000000000000 */ +/* cos(x) = 0.cd3dad1b5328a2e459f993f4f5108819faccbc4eeba9604e81c7adad51cc8a2561631a06826 */ + 8.01722354098418450607492605652964208e-01Q, /* 3ffe9a7b5a36a65145c8b3f327e9ea21 */ + 6.09487851305233089325627939458963741e-36Q, /* 3f8a033f599789dd752c09d038f5b5aa */ +/* sin(x) = 0.9902a58a45e27bed68412b426b675ed503f54d14c8172e0d373f42cadf04daf67319a7f94be */ + 5.97696634538701531238647618967334337e-01Q, /* 3ffe32054b148bc4f7dad0825684d6cf */ +-2.49527608940873714527427941350461554e-35Q, /* bf8c0957e0559759bf468f964605e9a9 */ + +/* x = 6.48437500000000000000000000000000000e-01 3ffe4c00000000000000000000000000 */ +/* cos(x) = 0.cc0a0e21709883a3ff00911e11a07ee3bd7ea2b04e081be99be0264791170761ae64b8b744a */ + 7.97028430141468342004642741431945296e-01Q, /* 3ffe98141c42e1310747fe01223c2341 */ +-8.35364432831812599727083251866305534e-37Q, /* bf871c42815d4fb1f7e416641fd9b86f */ +/* sin(x) = 0.9a9bedcdf01b38d993f3d7820781de292033ead73b89e28f39313dbe3a6e463f845b5fa8490 */ + 6.03941786554156657267270287527367726e-01Q, /* 3ffe3537db9be03671b327e7af040f04 */ +-2.54578992328947177770363936132309779e-35Q, /* bf8c0eb6fe60a94623b0eb863676120e */ + +/* x = 6.56250000000000000000000000000000000e-01 3ffe5000000000000000000000000000 */ +/* cos(x) = 0.cad33f00658fe5e8204bbc0f3a66a0e6a773f87987a780b243d7be83b3db1448ca0e0e62787 */ + 7.92285859677178543141501323781709399e-01Q, /* 3ffe95a67e00cb1fcbd04097781e74cd */ + 2.47519558228473167879248891673807645e-35Q, /* 3f8c07353b9fc3cc3d3c05921ebdf41e */ +/* sin(x) = 0.9c32cba2b14156ef05256c4f857991ca6a547cd7ceb1ac8a8e62a282bd7b9183648a462bd04 */ + 6.10150077075791371273742393566183220e-01Q, /* 3ffe386597456282adde0a4ad89f0af3 */ + 1.33842237929938963780969418369150532e-35Q, /* 3f8b1ca6a547cd7ceb1ac8a8e62a282c */ + +/* x = 6.64062500000000000000000000000000000e-01 3ffe5400000000000000000000000000 */ +/* cos(x) = 0.c99944936cf48c8911ff93fe64b3ddb7981e414bdaf6aae1203577de44878c62bc3bc9cf7b9 */ + 7.87494932167606083931328295965533034e-01Q, /* 3ffe93328926d9e9191223ff27fcc968 */ +-2.57915385618070637156514241185180920e-35Q, /* bf8c12433f0df5a1284aa8f6fe54410e */ +/* sin(x) = 0.9dc738ad14204e689ac582d0f85826590feece34886cfefe2e08cf2bb8488d55424dc9d3525 */ + 6.16321127181550943005700433761731837e-01Q, /* 3ffe3b8e715a28409cd1358b05a1f0b0 */ + 2.88497530050197716298085892460478666e-35Q, /* 3f8c32c87f7671a44367f7f17046795e */ + +/* x = 6.71875000000000000000000000000000000e-01 3ffe5800000000000000000000000000 */ +/* cos(x) = 0.c85c23c26ed7b6f014ef546c47929682122876bfbf157de0aff3c4247d820c746e32cd4174f */ + 7.82655940026272796930787447428139026e-01Q, /* 3ffe90b84784ddaf6de029dea8d88f25 */ + 1.69332045679237919427807771288506254e-35Q, /* 3f8b682122876bfbf157de0aff3c4248 */ +/* sin(x) = 0.9f592e9b66a9cf906a3c7aa3c10199849040c45ec3f0a747597311038101780c5f266059dbf */ + 6.22454560222343683041926705090443330e-01Q, /* 3ffe3eb25d36cd539f20d478f5478203 */ + 1.91974786921147072717621236192269859e-35Q, /* 3f8b9849040c45ec3f0a747597311038 */ + +/* x = 6.79687500000000000000000000000000000e-01 3ffe5c00000000000000000000000000 */ +/* cos(x) = 0.c71be181ecd6875ce2da5615a03cca207d9adcb9dfb0a1d6c40a4f0056437f1a59ccddd06ee */ + 7.77769178600317903122203513685412863e-01Q, /* 3ffe8e37c303d9ad0eb9c5b4ac2b407a */ +-4.05296033424632846931240580239929672e-35Q, /* bf8caefc13291a31027af149dfad87fd */ +/* sin(x) = 0.a0e8a725d33c828c11fa50fd9e9a15ffecfad43f3e534358076b9b0f6865694842b1e8c67dc */ + 6.28550001845029662028004327939032867e-01Q, /* 3ffe41d14e4ba679051823f4a1fb3d34 */ + 1.65507421184028099672784511397428852e-35Q, /* 3f8b5ffecfad43f3e534358076b9b0f7 */ + +/* x = 6.87500000000000000000000000000000000e-01 3ffe6000000000000000000000000000 */ +/* cos(x) = 0.c5d882d2ee48030c7c07d28e981e34804f82ed4cf93655d2365389b716de6ad44676a1cc5da */ + 7.72834946152471544810851845913425178e-01Q, /* 3ffe8bb105a5dc900618f80fa51d303c */ + 3.94975229341211664237241534741146939e-35Q, /* 3f8ca4027c176a67c9b2ae91b29c4db9 */ +/* sin(x) = 0.a2759c0e79c35582527c32b55f5405c182c66160cb1d9eb7bb0b7cdf4ad66f317bda4332914 */ + 6.34607080015269296850309914203671436e-01Q, /* 3ffe44eb381cf386ab04a4f8656abea8 */ + 4.33025916939968369326060156455927002e-36Q, /* 3f897060b1985832c767adeec2df37d3 */ + +/* x = 6.95312500000000000000000000000000000e-01 3ffe6400000000000000000000000000 */ +/* cos(x) = 0.c4920cc2ec38fb891b38827db08884fc66371ac4c2052ca8885b981bbcfd3bb7b093ee31515 */ + 7.67853543842850365879920759114193964e-01Q, /* 3ffe89241985d871f712367104fb6111 */ + 3.75100035267325597157244776081706979e-36Q, /* 3f893f198dc6b130814b2a2216e606ef */ +/* sin(x) = 0.a400072188acf49cd6b173825e038346f105e1301afe642bcc364cea455e21e506e3e927ed8 */ + 6.40625425040230409188409779413961021e-01Q, /* 3ffe48000e431159e939ad62e704bc07 */ + 2.46542747294664049615806500747173281e-36Q, /* 3f88a37882f0980d7f3215e61b267523 */ + +/* x = 7.03125000000000000000000000000000000e-01 3ffe6800000000000000000000000000 */ +/* cos(x) = 0.c348846bbd3631338ffe2bfe9dd1381a35b4e9c0c51b4c13fe376bad1bf5caacc4542be0aa9 */ + 7.62825275710576250507098753625429792e-01Q, /* 3ffe869108d77a6c62671ffc57fd3ba2 */ + 4.22067411888601505004748939382325080e-35Q, /* 3f8cc0d1ada74e0628da609ff1bb5d69 */ +/* sin(x) = 0.a587e23555bb08086d02b9c662cdd29316c3e9bd08d93793634a21b1810cce73bdb97a99b9e */ + 6.46604669591152370524042159882800763e-01Q, /* 3ffe4b0fc46aab761010da05738cc59c */ +-3.41742981816219412415674365946079826e-35Q, /* bf8c6b6749e0b217b9364364e5aef274 */ + +/* x = 7.10937500000000000000000000000000000e-01 3ffe6c00000000000000000000000000 */ +/* cos(x) = 0.c1fbeef380e4ffdd5a613ec8722f643ffe814ec2343e53adb549627224fdc9f2a7b77d3d69f */ + 7.57750448655219342240234832230493361e-01Q, /* 3ffe83f7dde701c9ffbab4c27d90e45f */ +-2.08767968311222650582659938787920125e-35Q, /* bf8bbc0017eb13dcbc1ac524ab69d8de */ +/* sin(x) = 0.a70d272a76a8d4b6da0ec90712bb748b96dabf88c3079246f3db7eea6e58ead4ed0e2843303 */ + 6.52544448725765956407573982284767763e-01Q, /* 3ffe4e1a4e54ed51a96db41d920e2577 */ +-8.61758060284379660697102362141557170e-36Q, /* bf8a6e8d24a80ee79f0db721849022b2 */ + +/* x = 7.18750000000000000000000000000000000e-01 3ffe7000000000000000000000000000 */ +/* cos(x) = 0.c0ac518c8b6ae710ba37a3eeb90cb15aebcb8bed4356fb507a48a6e97de9aa6d9660116b436 */ + 7.52629372418066476054541324847143116e-01Q, /* 3ffe8158a31916d5ce21746f47dd7219 */ + 3.71306958657663189665450864311104571e-35Q, /* 3f8c8ad75e5c5f6a1ab7da83d245374c */ +/* sin(x) = 0.a88fcfebd9a8dd47e2f3c76ef9e2439920f7e7fbe735f8bcc985491ec6f12a2d4214f8cfa99 */ + 6.58444399910567541589583954884041989e-01Q, /* 3ffe511f9fd7b351ba8fc5e78eddf3c5 */ +-4.54412944084300330523721391865787219e-35Q, /* bf8ce336f840c020c6503a19b3d5b70a */ + +/* x = 7.26562500000000000000000000000000000e-01 3ffe7400000000000000000000000000 */ +/* cos(x) = 0.bf59b17550a4406875969296567cf3e3b4e483061877c02811c6cae85fad5a6c3da58f49292 */ + 7.47462359563216166669700384714767552e-01Q, /* 3ffe7eb362eaa14880d0eb2d252cacfa */ +-9.11094340926220027288083639048016945e-36Q, /* bf8a8389636f9f3cf107fafdc726a2f4 */ +/* sin(x) = 0.aa0fd66eddb921232c28520d3911b8a03193b47f187f1471ac216fbcd5bb81029294d3a73f1 */ + 6.64304163042946276515506587432846246e-01Q, /* 3ffe541facddbb7242465850a41a7223 */ + 4.26004843895378210155889028714676019e-35Q, /* 3f8cc5018c9da3f8c3f8a38d610b7de7 */ + +/* x = 7.34375000000000000000000000000000000e-01 3ffe7800000000000000000000000000 */ +/* cos(x) = 0.be0413f84f2a771c614946a88cbf4da1d75a5560243de8f2283fefa0ea4a48468a52d51d8b3 */ + 7.42249725458501306991347253449610537e-01Q, /* 3ffe7c0827f09e54ee38c2928d51197f */ +-3.78925270049800913539923473871287550e-35Q, /* bf8c92f1452d54fede10b86ebe0082f9 */ +/* sin(x) = 0.ab8d34b36acd987210ed343ec65d7e3adc2e7109fce43d55c8d57dfdf55b9e01d2cc1f1b9ec */ + 6.70123380473162894654531583500648495e-01Q, /* 3ffe571a6966d59b30e421da687d8cbb */ +-1.33165852952743729897634069393684656e-36Q, /* bf87c523d18ef6031bc2aa372a82020b */ + +/* x = 7.42187500000000000000000000000000000e-01 3ffe7c00000000000000000000000000 */ +/* cos(x) = 0.bcab7e6bfb2a14a9b122c574a376bec98ab14808c64a4e731b34047e217611013ac99c0f25d */ + 7.36991788256240741057089385586450844e-01Q, /* 3ffe7956fcd7f654295362458ae946ed */ + 4.72358938637974850573747497460125519e-35Q, /* 3f8cf64c558a404632527398d9a023f1 */ +/* sin(x) = 0.ad07e4c409d08c4fa3a9057bb0ac24b8636e74e76f51e09bd6b2319707cbd9f5e254643897a */ + 6.75901697026178809189642203142423973e-01Q, /* 3ffe5a0fc98813a1189f47520af76158 */ + 2.76252586616364878801928456702948857e-35Q, /* 3f8c25c31b73a73b7a8f04deb5918cb8 */ + +/* x = 7.50000000000000000000000000000000000e-01 3ffe8000000000000000000000000000 */ +/* cos(x) = 0.bb4ff632a908f73ec151839cb9d993b4e0bfb8f20e7e44e6e4aee845e35575c3106dbe6fd06 */ + 7.31688868873820886311838753000084529e-01Q, /* 3ffe769fec655211ee7d82a3073973b3 */ + 1.48255637548931697184991710293198620e-35Q, /* 3f8b3b4e0bfb8f20e7e44e6e4aee845e */ +/* sin(x) = 0.ae7fe0b5fc786b2d966e1d6af140a488476747c2646425fc7533f532cd044cb10a971a49a6a */ + 6.81638760023334166733241952779893908e-01Q, /* 3ffe5cffc16bf8f0d65b2cdc3ad5e281 */ + 2.74838775935027549024224114338667371e-35Q, /* 3f8c24423b3a3e1323212fe3a99fa996 */ + +/* x = 7.57812500000000000000000000000000000e-01 3ffe8400000000000000000000000000 */ +/* cos(x) = 0.b9f180ba77dd0751628e135a9508299012230f14becacdd14c3f8862d122de5b56d55b53360 */ + 7.26341290974108590410147630237598973e-01Q, /* 3ffe73e30174efba0ea2c51c26b52a10 */ + 3.12683579338351123545814364980658990e-35Q, /* 3f8c4c80911878a5f6566e8a61fc4317 */ +/* sin(x) = 0.aff522a954f2ba16d9defdc416e33f5e9a5dfd5a6c228e0abc4d521327ff6e2517a7b3851dd */ + 6.87334219303873534951703613035647220e-01Q, /* 3ffe5fea4552a9e5742db3bdfb882dc6 */ + 4.76739454455410744997012795035529128e-35Q, /* 3f8cfaf4d2efead361147055e26a9099 */ + +/* x = 7.65625000000000000000000000000000000e-01 3ffe8800000000000000000000000000 */ +/* cos(x) = 0.b890237d3bb3c284b614a0539016bfa1053730bbdf940fa895e185f8e58884d3dda15e63371 */ + 7.20949380945696418043812784148447688e-01Q, /* 3ffe712046fa776785096c2940a7202d */ + 4.78691285733673379499536326050811832e-35Q, /* 3f8cfd0829b985defca07d44af0c2fc7 */ +/* sin(x) = 0.b167a4c90d63c4244cf5493b7cc23bd3c3c1225e078baa0c53d6d400b926281f537a1a260e6 */ + 6.92987727246317910281815490823048210e-01Q, /* 3ffe62cf49921ac7884899ea9276f984 */ + 4.50089871077663557180849219529189918e-35Q, /* 3f8cde9e1e0912f03c5d50629eb6a006 */ + +/* x = 7.73437500000000000000000000000000000e-01 3ffe8c00000000000000000000000000 */ +/* cos(x) = 0.b72be40067aaf2c050dbdb7a14c3d7d4f203f6b3f0224a4afe55d6ec8e92b508fd5c5984b3b */ + 7.15513467882981573520620561289896903e-01Q, /* 3ffe6e57c800cf55e580a1b7b6f42988 */ +-3.02191815581445336509438104625489192e-35Q, /* bf8c41586fe04a607eedada80d51489c */ +/* sin(x) = 0.b2d7614b1f3aaa24df2d6e20a77e1ca3e6d838c03e29c1bcb026e6733324815fadc9eb89674 */ + 6.98598938789681741301929277107891591e-01Q, /* 3ffe65aec2963e755449be5adc414efc */ + 2.15465226809256290914423429408722521e-35Q, /* 3f8bca3e6d838c03e29c1bcb026e6733 */ + +/* x = 7.81250000000000000000000000000000000e-01 3ffe9000000000000000000000000000 */ +/* cos(x) = 0.b5c4c7d4f7dae915ac786ccf4b1a498d3e73b6e5e74fe7519d9c53ee6d6b90e881bddfc33e1 */ + 7.10033883566079674974121643959490219e-01Q, /* 3ffe6b898fa9efb5d22b58f0d99e9635 */ +-4.09623224763692443220896752907902465e-35Q, /* bf8cb3960c6248d0c580c573131d608d */ +/* sin(x) = 0.b44452709a59752905913765434a59d111f0433eb2b133f7d103207e2aeb4aae111ddc385b3 */ + 7.04167511454533672780059509973942844e-01Q, /* 3ffe6888a4e134b2ea520b226eca8695 */ +-2.87259372740393348676633610275598640e-35Q, /* bf8c3177707de60a6a76604177e6fc0f */ + +/* x = 7.89062500000000000000000000000000000e-01 3ffe9400000000000000000000000000 */ +/* cos(x) = 0.b45ad4975b1294cadca4cf40ec8f22a68cd14b175835239a37e63acb85e8e9505215df18140 */ + 7.04510962440574606164129481545916976e-01Q, /* 3ffe68b5a92eb6252995b9499e81d91e */ + 2.60682037357042658395360726992048803e-35Q, /* 3f8c1534668a58bac1a91cd1bf31d65c */ +/* sin(x) = 0.b5ae7285bc10cf515753847e8f8b7a30e0a580d929d770103509880680f7b8b0e8ad23b65d8 */ + 7.09693105363899724959669028139035515e-01Q, /* 3ffe6b5ce50b78219ea2aea708fd1f17 */ +-4.37026016974122945368562319136420097e-36Q, /* bf8973c7d69fc9b58a23fbf2bd9dfe60 */ +}; diff --git a/libquadmath/math/sincosq.c b/libquadmath/math/sincosq.c new file mode 100644 index 000000000..b7c221486 --- /dev/null +++ b/libquadmath/math/sincosq.c @@ -0,0 +1,68 @@ +/* Compute sine and cosine of argument. + Copyright (C) 1997, 1999 Free Software Foundation, Inc. + This file is part of the GNU C Library. + Contributed by Ulrich Drepper <drepper@cygnus.com>, 1997 and + Jakub Jelinek <jj@ultra.linux.cz>. + + The GNU C Library is free software; you can redistribute it and/or + modify it under the terms of the GNU Lesser General Public + License as published by the Free Software Foundation; either + version 2.1 of the License, or (at your option) any later version. + + The GNU C Library is distributed in the hope that it will be useful, + but WITHOUT ANY WARRANTY; without even the implied warranty of + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + Lesser General Public License for more details. + + You should have received a copy of the GNU Lesser General Public + License along with the GNU C Library; if not, write to the Free + Software Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA + 02111-1307 USA. */ + +#include "quadmath-imp.h" + +void +sincosq (__float128 x, __float128 *sinx, __float128 *cosx) +{ + int64_t ix; + + /* High word of x. */ + GET_FLT128_MSW64 (ix, x); + + /* |x| ~< pi/4 */ + ix &= 0x7fffffffffffffffLL; + if (ix <= 0x3ffe921fb54442d1LL) + __quadmath_kernel_sincosq (x, 0.0Q, sinx, cosx, 0); + else if (ix >= 0x7fff000000000000LL) + { + /* sin(Inf or NaN) is NaN */ + *sinx = *cosx = x - x; + } + else + { + /* Argument reduction needed. */ + __float128 y[2]; + int n; + + n = __quadmath_rem_pio2q (x, y); + switch (n & 3) + { + case 0: + __quadmath_kernel_sincosq (y[0], y[1], sinx, cosx, 1); + break; + case 1: + __quadmath_kernel_sincosq (y[0], y[1], cosx, sinx, 1); + *cosx = -*cosx; + break; + case 2: + __quadmath_kernel_sincosq (y[0], y[1], sinx, cosx, 1); + *sinx = -*sinx; + *cosx = -*cosx; + break; + default: + __quadmath_kernel_sincosq (y[0], y[1], cosx, sinx, 1); + *sinx = -*sinx; + break; + } + } +} diff --git a/libquadmath/math/sincosq_kernel.c b/libquadmath/math/sincosq_kernel.c new file mode 100644 index 000000000..578d1828f --- /dev/null +++ b/libquadmath/math/sincosq_kernel.c @@ -0,0 +1,163 @@ +/* Quad-precision floating point sine and cosine on <-pi/4,pi/4>. + Copyright (C) 1999 Free Software Foundation, Inc. + This file is part of the GNU C Library. + Contributed by Jakub Jelinek <jj@ultra.linux.cz> + + The GNU C Library is free software; you can redistribute it and/or + modify it under the terms of the GNU Lesser General Public + License as published by the Free Software Foundation; either + version 2.1 of the License, or (at your option) any later version. + + The GNU C Library is distributed in the hope that it will be useful, + but WITHOUT ANY WARRANTY; without even the implied warranty of + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + Lesser General Public License for more details. + + You should have received a copy of the GNU Lesser General Public + License along with the GNU C Library; if not, write to the Free + Software Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA + 02111-1307 USA. */ + +#include "quadmath-imp.h" + +static const __float128 c[] = { +#define ONE c[0] + 1.00000000000000000000000000000000000E+00Q, /* 3fff0000000000000000000000000000 */ + +/* cos x ~ ONE + x^2 ( SCOS1 + SCOS2 * x^2 + ... + SCOS4 * x^6 + SCOS5 * x^8 ) + x in <0,1/256> */ +#define SCOS1 c[1] +#define SCOS2 c[2] +#define SCOS3 c[3] +#define SCOS4 c[4] +#define SCOS5 c[5] +-5.00000000000000000000000000000000000E-01Q, /* bffe0000000000000000000000000000 */ + 4.16666666666666666666666666556146073E-02Q, /* 3ffa5555555555555555555555395023 */ +-1.38888888888888888888309442601939728E-03Q, /* bff56c16c16c16c16c16a566e42c0375 */ + 2.48015873015862382987049502531095061E-05Q, /* 3fefa01a01a019ee02dcf7da2d6d5444 */ +-2.75573112601362126593516899592158083E-07Q, /* bfe927e4f5dce637cb0b54908754bde0 */ + +/* cos x ~ ONE + x^2 ( COS1 + COS2 * x^2 + ... + COS7 * x^12 + COS8 * x^14 ) + x in <0,0.1484375> */ +#define COS1 c[6] +#define COS2 c[7] +#define COS3 c[8] +#define COS4 c[9] +#define COS5 c[10] +#define COS6 c[11] +#define COS7 c[12] +#define COS8 c[13] +-4.99999999999999999999999999999999759E-01Q, /* bffdfffffffffffffffffffffffffffb */ + 4.16666666666666666666666666651287795E-02Q, /* 3ffa5555555555555555555555516f30 */ +-1.38888888888888888888888742314300284E-03Q, /* bff56c16c16c16c16c16c16a463dfd0d */ + 2.48015873015873015867694002851118210E-05Q, /* 3fefa01a01a01a01a0195cebe6f3d3a5 */ +-2.75573192239858811636614709689300351E-07Q, /* bfe927e4fb7789f5aa8142a22044b51f */ + 2.08767569877762248667431926878073669E-09Q, /* 3fe21eed8eff881d1e9262d7adff4373 */ +-1.14707451049343817400420280514614892E-11Q, /* bfda9397496922a9601ed3d4ca48944b */ + 4.77810092804389587579843296923533297E-14Q, /* 3fd2ae5f8197cbcdcaf7c3fb4523414c */ + +/* sin x ~ ONE * x + x^3 ( SSIN1 + SSIN2 * x^2 + ... + SSIN4 * x^6 + SSIN5 * x^8 ) + x in <0,1/256> */ +#define SSIN1 c[14] +#define SSIN2 c[15] +#define SSIN3 c[16] +#define SSIN4 c[17] +#define SSIN5 c[18] +-1.66666666666666666666666666666666659E-01Q, /* bffc5555555555555555555555555555 */ + 8.33333333333333333333333333146298442E-03Q, /* 3ff81111111111111111111110fe195d */ +-1.98412698412698412697726277416810661E-04Q, /* bff2a01a01a01a01a019e7121e080d88 */ + 2.75573192239848624174178393552189149E-06Q, /* 3fec71de3a556c640c6aaa51aa02ab41 */ +-2.50521016467996193495359189395805639E-08Q, /* bfe5ae644ee90c47dc71839de75b2787 */ + +/* sin x ~ ONE * x + x^3 ( SIN1 + SIN2 * x^2 + ... + SIN7 * x^12 + SIN8 * x^14 ) + x in <0,0.1484375> */ +#define SIN1 c[19] +#define SIN2 c[20] +#define SIN3 c[21] +#define SIN4 c[22] +#define SIN5 c[23] +#define SIN6 c[24] +#define SIN7 c[25] +#define SIN8 c[26] +-1.66666666666666666666666666666666538e-01Q, /* bffc5555555555555555555555555550 */ + 8.33333333333333333333333333307532934e-03Q, /* 3ff811111111111111111111110e7340 */ +-1.98412698412698412698412534478712057e-04Q, /* bff2a01a01a01a01a01a019e7a626296 */ + 2.75573192239858906520896496653095890e-06Q, /* 3fec71de3a556c7338fa38527474b8f5 */ +-2.50521083854417116999224301266655662e-08Q, /* bfe5ae64567f544e16c7de65c2ea551f */ + 1.60590438367608957516841576404938118e-10Q, /* 3fde6124613a811480538a9a41957115 */ +-7.64716343504264506714019494041582610e-13Q, /* bfd6ae7f3d5aef30c7bc660b060ef365 */ + 2.81068754939739570236322404393398135e-15Q, /* 3fce9510115aabf87aceb2022a9a9180 */ +}; + +#define SINCOSQ_COS_HI 0 +#define SINCOSQ_COS_LO 1 +#define SINCOSQ_SIN_HI 2 +#define SINCOSQ_SIN_LO 3 +extern const __float128 __sincosq_table[]; + +void +__quadmath_kernel_sincosq(__float128 x, __float128 y, __float128 *sinx, + __float128 *cosx, int iy) +{ + __float128 h, l, z, sin_l, cos_l_m1; + int64_t ix; + uint32_t tix, hix, index; + GET_FLT128_MSW64 (ix, x); + tix = ((uint64_t)ix) >> 32; + tix &= ~0x80000000; /* tix = |x|'s high 32 bits */ + if (tix < 0x3ffc3000) /* |x| < 0.1484375 */ + { + /* Argument is small enough to approximate it by a Chebyshev + polynomial of degree 16(17). */ + if (tix < 0x3fc60000) /* |x| < 2^-57 */ + if (!((int)x)) /* generate inexact */ + { + *sinx = x; + *cosx = ONE; + return; + } + z = x * x; + *sinx = x + (x * (z*(SIN1+z*(SIN2+z*(SIN3+z*(SIN4+ + z*(SIN5+z*(SIN6+z*(SIN7+z*SIN8))))))))); + *cosx = ONE + (z*(COS1+z*(COS2+z*(COS3+z*(COS4+ + z*(COS5+z*(COS6+z*(COS7+z*COS8)))))))); + } + else + { + /* So that we don't have to use too large polynomial, we find + l and h such that x = l + h, where fabsl(l) <= 1.0/256 with 83 + possible values for h. We look up cosl(h) and sinl(h) in + pre-computed tables, compute cosl(l) and sinl(l) using a + Chebyshev polynomial of degree 10(11) and compute + sinl(h+l) = sinl(h)cosl(l) + cosl(h)sinl(l) and + cosl(h+l) = cosl(h)cosl(l) - sinl(h)sinl(l). */ + index = 0x3ffe - (tix >> 16); + hix = (tix + (0x200 << index)) & (0xfffffc00 << index); + x = fabsq (x); + switch (index) + { + case 0: index = ((45 << 10) + hix - 0x3ffe0000) >> 8; break; + case 1: index = ((13 << 11) + hix - 0x3ffd0000) >> 9; break; + default: + case 2: index = (hix - 0x3ffc3000) >> 10; break; + } + + SET_FLT128_WORDS64(h, ((uint64_t)hix) << 32, 0); + if (iy) + l = y - (h - x); + else + l = x - h; + z = l * l; + sin_l = l*(ONE+z*(SSIN1+z*(SSIN2+z*(SSIN3+z*(SSIN4+z*SSIN5))))); + cos_l_m1 = z*(SCOS1+z*(SCOS2+z*(SCOS3+z*(SCOS4+z*SCOS5)))); + z = __sincosq_table [index + SINCOSQ_SIN_HI] + + (__sincosq_table [index + SINCOSQ_SIN_LO] + + (__sincosq_table [index + SINCOSQ_SIN_HI] * cos_l_m1) + + (__sincosq_table [index + SINCOSQ_COS_HI] * sin_l)); + *sinx = (ix < 0) ? -z : z; + *cosx = __sincosq_table [index + SINCOSQ_COS_HI] + + (__sincosq_table [index + SINCOSQ_COS_LO] + - (__sincosq_table [index + SINCOSQ_SIN_HI] * sin_l + - __sincosq_table [index + SINCOSQ_COS_HI] * cos_l_m1)); + } +} diff --git a/libquadmath/math/sinhq.c b/libquadmath/math/sinhq.c new file mode 100644 index 000000000..5492180a2 --- /dev/null +++ b/libquadmath/math/sinhq.c @@ -0,0 +1,111 @@ +/* e_sinhl.c -- __float128 version of e_sinh.c. + * Conversion to __float128 by Ulrich Drepper, + * Cygnus Support, drepper@cygnus.com. + */ + +/* + * ==================================================== + * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. + * + * Developed at SunPro, a Sun Microsystems, Inc. business. + * Permission to use, copy, modify, and distribute this + * software is freely granted, provided that this notice + * is preserved. + * ==================================================== + */ + +/* Changes for 128-bit __float128 are + Copyright (C) 2001 Stephen L. Moshier <moshier@na-net.ornl.gov> + and are incorporated herein by permission of the author. The author + reserves the right to distribute this material elsewhere under different + copying permissions. These modifications are distributed here under + the following terms: + + This library is free software; you can redistribute it and/or + modify it under the terms of the GNU Lesser General Public + License as published by the Free Software Foundation; either + version 2.1 of the License, or (at your option) any later version. + + This library is distributed in the hope that it will be useful, + but WITHOUT ANY WARRANTY; without even the implied warranty of + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + Lesser General Public License for more details. + + You should have received a copy of the GNU Lesser General Public + License along with this library; if not, write to the Free Software + Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA */ + +/* __ieee754_sinhl(x) + * Method : + * mathematically sinh(x) if defined to be (exp(x)-exp(-x))/2 + * 1. Replace x by |x| (sinhl(-x) = -sinhl(x)). + * 2. + * E + E/(E+1) + * 0 <= x <= 25 : sinhl(x) := --------------, E=expm1l(x) + * 2 + * + * 25 <= x <= lnovft : sinhl(x) := expl(x)/2 + * lnovft <= x <= ln2ovft: sinhl(x) := expl(x/2)/2 * expl(x/2) + * ln2ovft < x : sinhl(x) := x*shuge (overflow) + * + * Special cases: + * sinhl(x) is |x| if x is +INF, -INF, or NaN. + * only sinhl(0)=0 is exact for finite x. + */ + +#include "quadmath-imp.h" + +static const __float128 one = 1.0, shuge = 1.0e4931Q, + ovf_thresh = 1.1357216553474703894801348310092223067821E4Q; + +__float128 +sinhq (__float128 x) +{ + __float128 t, w, h; + uint32_t jx, ix; + ieee854_float128 u; + + /* Words of |x|. */ + u.value = x; + jx = u.words32.w0; + ix = jx & 0x7fffffff; + + /* x is INF or NaN */ + if (ix >= 0x7fff0000) + return x + x; + + h = 0.5Q; + if (jx & 0x80000000) + h = -h; + + /* Absolute value of x. */ + u.words32.w0 = ix; + + /* |x| in [0,40], return sign(x)*0.5*(E+E/(E+1))) */ + if (ix <= 0x40044000) + { + if (ix < 0x3fc60000) /* |x| < 2^-57 */ + if (shuge + x > one) + return x; /* sinh(tiny) = tiny with inexact */ + t = expm1q (u.value); + if (ix < 0x3fff0000) + return h * (2.0Q * t - t * t / (t + one)); + return h * (t + t / (t + one)); + } + + /* |x| in [40, log(maxdouble)] return 0.5*exp(|x|) */ + if (ix <= 0x400c62e3) /* 11356.375 */ + return h * expq (u.value); + + /* |x| in [log(maxdouble), overflowthreshold] + Overflow threshold is log(2 * maxdouble). */ + if (u.value <= ovf_thresh) + { + w = expq (0.5Q * u.value); + t = h * w; + return t * w; + } + + /* |x| > overflowthreshold, sinhl(x) overflow */ + return x * shuge; +} diff --git a/libquadmath/math/sinq.c b/libquadmath/math/sinq.c new file mode 100644 index 000000000..76254a373 --- /dev/null +++ b/libquadmath/math/sinq.c @@ -0,0 +1,82 @@ +/* s_sinl.c -- long double version of s_sin.c. + * Conversion to long double by Jakub Jelinek, jj@ultra.linux.cz. + */ + +/* + * ==================================================== + * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. + * + * Developed at SunPro, a Sun Microsystems, Inc. business. + * Permission to use, copy, modify, and distribute this + * software is freely granted, provided that this notice + * is preserved. + * ==================================================== + */ + +/* sinl(x) + * Return sine function of x. + * + * kernel function: + * __kernel_sinl ... sine function on [-pi/4,pi/4] + * __kernel_cosl ... cose function on [-pi/4,pi/4] + * __ieee754_rem_pio2l ... argument reduction routine + * + * Method. + * Let S,C and T denote the sin, cos and tan respectively on + * [-PI/4, +PI/4]. Reduce the argument x to y1+y2 = x-k*pi/2 + * in [-pi/4 , +pi/4], and let n = k mod 4. + * We have + * + * n sin(x) cos(x) tan(x) + * ---------------------------------------------------------- + * 0 S C T + * 1 C -S -1/T + * 2 -S -C T + * 3 -C S -1/T + * ---------------------------------------------------------- + * + * Special cases: + * Let trig be any of sin, cos, or tan. + * trig(+-INF) is NaN, with signals; + * trig(NaN) is that NaN; + * + * Accuracy: + * TRIG(x) returns trig(x) nearly rounded + */ + +#include "quadmath-imp.h" + +__float128 +sinq (__float128 x) +{ + __float128 y[2],z=0.0Q; + int64_t n, ix; + + /* High word of x. */ + GET_FLT128_MSW64(ix,x); + + /* |x| ~< pi/4 */ + ix &= 0x7fffffffffffffffLL; + if(ix <= 0x3ffe921fb54442d1LL) + return __quadmath_kernel_sinq(x,z,0); + + /* sin(Inf or NaN) is NaN */ + else if (ix>=0x7fff000000000000LL) { + if (ix == 0x7fff000000000000LL) { + GET_FLT128_LSW64(n,x); + } + return x-x; + } + + /* argument reduction needed */ + else { + n = __quadmath_rem_pio2q(x,y); + switch(n&3) { + case 0: return __quadmath_kernel_sinq(y[0],y[1],1); + case 1: return __quadmath_kernel_cosq(y[0],y[1]); + case 2: return -__quadmath_kernel_sinq(y[0],y[1],1); + default: + return -__quadmath_kernel_cosq(y[0],y[1]); + } + } +} diff --git a/libquadmath/math/sinq_kernel.c b/libquadmath/math/sinq_kernel.c new file mode 100644 index 000000000..395fcaba9 --- /dev/null +++ b/libquadmath/math/sinq_kernel.c @@ -0,0 +1,131 @@ +/* Quad-precision floating point sine on <-pi/4,pi/4>. + Copyright (C) 1999 Free Software Foundation, Inc. + This file is part of the GNU C Library. + Contributed by Jakub Jelinek <jj@ultra.linux.cz> + + The GNU C Library is free software; you can redistribute it and/or + modify it under the terms of the GNU Lesser General Public + License as published by the Free Software Foundation; either + version 2.1 of the License, or (at your option) any later version. + + The GNU C Library is distributed in the hope that it will be useful, + but WITHOUT ANY WARRANTY; without even the implied warranty of + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + Lesser General Public License for more details. + + You should have received a copy of the GNU Lesser General Public + License along with the GNU C Library; if not, write to the Free + Software Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA + 02111-1307 USA. */ + +#include "quadmath-imp.h" + +static const __float128 c[] = { +#define ONE c[0] + 1.00000000000000000000000000000000000E+00Q, /* 3fff0000000000000000000000000000 */ + +/* cos x ~ ONE + x^2 ( SCOS1 + SCOS2 * x^2 + ... + SCOS4 * x^6 + SCOS5 * x^8 ) + x in <0,1/256> */ +#define SCOS1 c[1] +#define SCOS2 c[2] +#define SCOS3 c[3] +#define SCOS4 c[4] +#define SCOS5 c[5] +-5.00000000000000000000000000000000000E-01Q, /* bffe0000000000000000000000000000 */ + 4.16666666666666666666666666556146073E-02Q, /* 3ffa5555555555555555555555395023 */ +-1.38888888888888888888309442601939728E-03Q, /* bff56c16c16c16c16c16a566e42c0375 */ + 2.48015873015862382987049502531095061E-05Q, /* 3fefa01a01a019ee02dcf7da2d6d5444 */ +-2.75573112601362126593516899592158083E-07Q, /* bfe927e4f5dce637cb0b54908754bde0 */ + +/* sin x ~ ONE * x + x^3 ( SIN1 + SIN2 * x^2 + ... + SIN7 * x^12 + SIN8 * x^14 ) + x in <0,0.1484375> */ +#define SIN1 c[6] +#define SIN2 c[7] +#define SIN3 c[8] +#define SIN4 c[9] +#define SIN5 c[10] +#define SIN6 c[11] +#define SIN7 c[12] +#define SIN8 c[13] +-1.66666666666666666666666666666666538e-01Q, /* bffc5555555555555555555555555550 */ + 8.33333333333333333333333333307532934e-03Q, /* 3ff811111111111111111111110e7340 */ +-1.98412698412698412698412534478712057e-04Q, /* bff2a01a01a01a01a01a019e7a626296 */ + 2.75573192239858906520896496653095890e-06Q, /* 3fec71de3a556c7338fa38527474b8f5 */ +-2.50521083854417116999224301266655662e-08Q, /* bfe5ae64567f544e16c7de65c2ea551f */ + 1.60590438367608957516841576404938118e-10Q, /* 3fde6124613a811480538a9a41957115 */ +-7.64716343504264506714019494041582610e-13Q, /* bfd6ae7f3d5aef30c7bc660b060ef365 */ + 2.81068754939739570236322404393398135e-15Q, /* 3fce9510115aabf87aceb2022a9a9180 */ + +/* sin x ~ ONE * x + x^3 ( SSIN1 + SSIN2 * x^2 + ... + SSIN4 * x^6 + SSIN5 * x^8 ) + x in <0,1/256> */ +#define SSIN1 c[14] +#define SSIN2 c[15] +#define SSIN3 c[16] +#define SSIN4 c[17] +#define SSIN5 c[18] +-1.66666666666666666666666666666666659E-01Q, /* bffc5555555555555555555555555555 */ + 8.33333333333333333333333333146298442E-03Q, /* 3ff81111111111111111111110fe195d */ +-1.98412698412698412697726277416810661E-04Q, /* bff2a01a01a01a01a019e7121e080d88 */ + 2.75573192239848624174178393552189149E-06Q, /* 3fec71de3a556c640c6aaa51aa02ab41 */ +-2.50521016467996193495359189395805639E-08Q, /* bfe5ae644ee90c47dc71839de75b2787 */ +}; + +#define SINCOSQ_COS_HI 0 +#define SINCOSQ_COS_LO 1 +#define SINCOSQ_SIN_HI 2 +#define SINCOSQ_SIN_LO 3 +extern const __float128 __sincosq_table[]; + +__float128 +__quadmath_kernel_sinq (__float128 x, __float128 y, int iy) +{ + __float128 h, l, z, sin_l, cos_l_m1; + int64_t ix; + uint32_t tix, hix, index; + GET_FLT128_MSW64 (ix, x); + tix = ((uint64_t)ix) >> 32; + tix &= ~0x80000000; /* tix = |x|'s high 32 bits */ + if (tix < 0x3ffc3000) /* |x| < 0.1484375 */ + { + /* Argument is small enough to approximate it by a Chebyshev + polynomial of degree 17. */ + if (tix < 0x3fc60000) /* |x| < 2^-57 */ + if (!((int)x)) return x; /* generate inexact */ + z = x * x; + return x + (x * (z*(SIN1+z*(SIN2+z*(SIN3+z*(SIN4+ + z*(SIN5+z*(SIN6+z*(SIN7+z*SIN8))))))))); + } + else + { + /* So that we don't have to use too large polynomial, we find + l and h such that x = l + h, where fabsl(l) <= 1.0/256 with 83 + possible values for h. We look up cosl(h) and sinl(h) in + pre-computed tables, compute cosl(l) and sinl(l) using a + Chebyshev polynomial of degree 10(11) and compute + sinl(h+l) = sinl(h)cosl(l) + cosl(h)sinl(l). */ + index = 0x3ffe - (tix >> 16); + hix = (tix + (0x200 << index)) & (0xfffffc00 << index); + x = fabsq (x); + switch (index) + { + case 0: index = ((45 << 10) + hix - 0x3ffe0000) >> 8; break; + case 1: index = ((13 << 11) + hix - 0x3ffd0000) >> 9; break; + default: + case 2: index = (hix - 0x3ffc3000) >> 10; break; + } + + SET_FLT128_WORDS64(h, ((uint64_t)hix) << 32, 0); + if (iy) + l = y - (h - x); + else + l = x - h; + z = l * l; + sin_l = l*(ONE+z*(SSIN1+z*(SSIN2+z*(SSIN3+z*(SSIN4+z*SSIN5))))); + cos_l_m1 = z*(SCOS1+z*(SCOS2+z*(SCOS3+z*(SCOS4+z*SCOS5)))); + z = __sincosq_table [index + SINCOSQ_SIN_HI] + + (__sincosq_table [index + SINCOSQ_SIN_LO] + + (__sincosq_table [index + SINCOSQ_SIN_HI] * cos_l_m1) + + (__sincosq_table [index + SINCOSQ_COS_HI] * sin_l)); + return (ix < 0) ? -z : z; + } +} diff --git a/libquadmath/math/sqrtq.c b/libquadmath/math/sqrtq.c new file mode 100644 index 000000000..6ed4605ed --- /dev/null +++ b/libquadmath/math/sqrtq.c @@ -0,0 +1,57 @@ +#include "quadmath-imp.h" +#include <math.h> +#include <float.h> + +__float128 +sqrtq (const __float128 x) +{ + __float128 y; + int exp; + + if (x == 0) + return x; + + if (isnanq (x)) + return x; + + if (x < 0) + return nanq (""); + + if (x <= DBL_MAX && x >= DBL_MIN) + { + /* Use double result as starting point. */ + y = sqrt ((double) x); + + /* Two Newton iterations. */ + y -= 0.5q * (y - x / y); + y -= 0.5q * (y - x / y); + return y; + } + +#ifdef HAVE_SQRTL + if (x <= LDBL_MAX && x >= LDBL_MIN) + { + /* Use long double result as starting point. */ + y = sqrtl ((long double) x); + + /* One Newton iteration. */ + y -= 0.5q * (y - x / y); + return y; + } +#endif + + /* If we're outside of the range of C types, we have to compute + the initial guess the hard way. */ + y = frexpq (x, &exp); + if (exp % 2) + y *= 2, exp--; + + y = sqrt (y); + y = scalbnq (y, exp / 2); + + /* Two Newton iterations. */ + y -= 0.5q * (y - x / y); + y -= 0.5q * (y - x / y); + return y; +} + diff --git a/libquadmath/math/tanhq.c b/libquadmath/math/tanhq.c new file mode 100644 index 000000000..4ef4fd021 --- /dev/null +++ b/libquadmath/math/tanhq.c @@ -0,0 +1,94 @@ +/* s_tanhl.c -- __float128 version of s_tanh.c. + * Conversion to __float128 by Ulrich Drepper, + * Cygnus Support, drepper@cygnus.com. + */ + +/* + * ==================================================== + * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. + * + * Developed at SunPro, a Sun Microsystems, Inc. business. + * Permission to use, copy, modify, and distribute this + * software is freely granted, provided that this notice + * is preserved. + * ==================================================== + */ + +/* Changes for 128-bit __float128 contributed by + Stephen L. Moshier <moshier@na-net.ornl.gov> */ + +/* tanhl(x) + * Return the Hyperbolic Tangent of x + * + * Method : + * x -x + * e - e + * 0. tanhl(x) is defined to be ----------- + * x -x + * e + e + * 1. reduce x to non-negative by tanhl(-x) = -tanhl(x). + * 2. 0 <= x <= 2**-57 : tanhl(x) := x*(one+x) + * -t + * 2**-57 < x <= 1 : tanhl(x) := -----; t = expm1l(-2x) + * t + 2 + * 2 + * 1 <= x <= 40.0 : tanhl(x) := 1- ----- ; t=expm1l(2x) + * t + 2 + * 40.0 < x <= INF : tanhl(x) := 1. + * + * Special cases: + * tanhl(NaN) is NaN; + * only tanhl(0)=0 is exact for finite argument. + */ + +#include "quadmath-imp.h" + +static const __float128 one = 1.0Q, two = 2.0Q, tiny = 1.0e-4900Q; + +__float128 +tanhq (__float128 x) +{ + __float128 t, z; + uint32_t jx, ix; + ieee854_float128 u; + + /* Words of |x|. */ + u.value = x; + jx = u.words32.w0; + ix = jx & 0x7fffffff; + /* x is INF or NaN */ + if (ix >= 0x7fff0000) + { + /* for NaN it's not important which branch: tanhl(NaN) = NaN */ + if (jx & 0x80000000) + return one / x - one; /* tanhl(-inf)= -1; */ + else + return one / x + one; /* tanhl(+inf)=+1 */ + } + + /* |x| < 40 */ + if (ix < 0x40044000) + { + if (u.value == 0) + return x; /* x == +- 0 */ + if (ix < 0x3fc60000) /* |x| < 2^-57 */ + return x * (one + tiny); /* tanh(small) = small */ + u.words32.w0 = ix; /* Absolute value of x. */ + if (ix >= 0x3fff0000) + { /* |x| >= 1 */ + t = expm1q (two * u.value); + z = one - two / (t + two); + } + else + { + t = expm1q (-two * u.value); + z = -t / (t + two); + } + /* |x| > 40, return +-1 */ + } + else + { + z = one - tiny; /* raised inexact flag */ + } + return (jx & 0x80000000) ? -z : z; +} diff --git a/libquadmath/math/tanq.c b/libquadmath/math/tanq.c new file mode 100644 index 000000000..e1ec6aae8 --- /dev/null +++ b/libquadmath/math/tanq.c @@ -0,0 +1,237 @@ +/* + * ==================================================== + * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. + * + * Developed at SunPro, a Sun Microsystems, Inc. business. + * Permission to use, copy, modify, and distribute this + * software is freely granted, provided that this notice + * is preserved. + * ==================================================== + */ + +/* + Long double expansions are + Copyright (C) 2001 Stephen L. Moshier <moshier@na-net.ornl.gov> + and are incorporated herein by permission of the author. The author + reserves the right to distribute this material elsewhere under different + copying permissions. These modifications are distributed here under + the following terms: + + This library is free software; you can redistribute it and/or + modify it under the terms of the GNU Lesser General Public + License as published by the Free Software Foundation; either + version 2.1 of the License, or (at your option) any later version. + + This library is distributed in the hope that it will be useful, + but WITHOUT ANY WARRANTY; without even the implied warranty of + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + Lesser General Public License for more details. + + You should have received a copy of the GNU Lesser General Public + License along with this library; if not, write to the Free Software + Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA */ + +/* __quadmath_kernel_tanq( x, y, k ) + * kernel tan function on [-pi/4, pi/4], pi/4 ~ 0.7854 + * Input x is assumed to be bounded by ~pi/4 in magnitude. + * Input y is the tail of x. + * Input k indicates whether tan (if k=1) or + * -1/tan (if k= -1) is returned. + * + * Algorithm + * 1. Since tan(-x) = -tan(x), we need only to consider positive x. + * 2. if x < 2^-57, return x with inexact if x!=0. + * 3. tan(x) is approximated by a rational form x + x^3 / 3 + x^5 R(x^2) + * on [0,0.67433]. + * + * Note: tan(x+y) = tan(x) + tan'(x)*y + * ~ tan(x) + (1+x*x)*y + * Therefore, for better accuracy in computing tan(x+y), let + * r = x^3 * R(x^2) + * then + * tan(x+y) = x + (x^3 / 3 + (x^2 *(r+y)+y)) + * + * 4. For x in [0.67433,pi/4], let y = pi/4 - x, then + * tan(x) = tan(pi/4-y) = (1-tan(y))/(1+tan(y)) + * = 1 - 2*(tan(y) - (tan(y)^2)/(1+tan(y))) + */ + +#include "quadmath-imp.h" + + + +static const __float128 + one = 1.0Q, + pio4hi = 7.8539816339744830961566084581987569936977E-1Q, + pio4lo = 2.1679525325309452561992610065108379921906E-35Q, + + /* tan x = x + x^3 / 3 + x^5 T(x^2)/U(x^2) + 0 <= x <= 0.6743316650390625 + Peak relative error 8.0e-36 */ + TH = 3.333333333333333333333333333333333333333E-1Q, + T0 = -1.813014711743583437742363284336855889393E7Q, + T1 = 1.320767960008972224312740075083259247618E6Q, + T2 = -2.626775478255838182468651821863299023956E4Q, + T3 = 1.764573356488504935415411383687150199315E2Q, + T4 = -3.333267763822178690794678978979803526092E-1Q, + + U0 = -1.359761033807687578306772463253710042010E8Q, + U1 = 6.494370630656893175666729313065113194784E7Q, + U2 = -4.180787672237927475505536849168729386782E6Q, + U3 = 8.031643765106170040139966622980914621521E4Q, + U4 = -5.323131271912475695157127875560667378597E2Q; + /* 1.000000000000000000000000000000000000000E0 */ + + +static __float128 +__quadmath_kernel_tanq (__float128 x, __float128 y, int iy) +{ + __float128 z, r, v, w, s; + int32_t ix, sign = 1; + ieee854_float128 u, u1; + + u.value = x; + ix = u.words32.w0 & 0x7fffffff; + if (ix < 0x3fc60000) /* x < 2**-57 */ + { + if ((int) x == 0) + { /* generate inexact */ + if ((ix | u.words32.w1 | u.words32.w2 | u.words32.w3 + | (iy + 1)) == 0) + return one / fabsq (x); + else + return (iy == 1) ? x : -one / x; + } + } + if (ix >= 0x3ffe5942) /* |x| >= 0.6743316650390625 */ + { + if ((u.words32.w0 & 0x80000000) != 0) + { + x = -x; + y = -y; + sign = -1; + } + else + sign = 1; + z = pio4hi - x; + w = pio4lo - y; + x = z + w; + y = 0.0; + } + z = x * x; + r = T0 + z * (T1 + z * (T2 + z * (T3 + z * T4))); + v = U0 + z * (U1 + z * (U2 + z * (U3 + z * (U4 + z)))); + r = r / v; + + s = z * x; + r = y + z * (s * r + y); + r += TH * s; + w = x + r; + if (ix >= 0x3ffe5942) + { + v = (__float128) iy; + w = (v - 2.0Q * (x - (w * w / (w + v) - r))); + if (sign < 0) + w = -w; + return w; + } + if (iy == 1) + return w; + else + { /* if allow error up to 2 ulp, + simply return -1.0/(x+r) here */ + /* compute -1.0/(x+r) accurately */ + u1.value = w; + u1.words32.w2 = 0; + u1.words32.w3 = 0; + v = r - (u1.value - x); /* u1+v = r+x */ + z = -1.0 / w; + u.value = z; + u.words32.w2 = 0; + u.words32.w3 = 0; + s = 1.0 + u.value * u1.value; + return u.value + z * (s + u.value * v); + } +} + + + + + + + +/* s_tanl.c -- long double version of s_tan.c. + * Conversion to IEEE quad long double by Jakub Jelinek, jj@ultra.linux.cz. + */ + +/* @(#)s_tan.c 5.1 93/09/24 */ +/* + * ==================================================== + * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. + * + * Developed at SunPro, a Sun Microsystems, Inc. business. + * Permission to use, copy, modify, and distribute this + * software is freely granted, provided that this notice + * is preserved. + * ==================================================== + */ + +/* tanl(x) + * Return tangent function of x. + * + * kernel function: + * __kernel_tanq ... tangent function on [-pi/4,pi/4] + * __ieee754_rem_pio2q ... argument reduction routine + * + * Method. + * Let S,C and T denote the sin, cos and tan respectively on + * [-PI/4, +PI/4]. Reduce the argument x to y1+y2 = x-k*pi/2 + * in [-pi/4 , +pi/4], and let n = k mod 4. + * We have + * + * n sin(x) cos(x) tan(x) + * ---------------------------------------------------------- + * 0 S C T + * 1 C -S -1/T + * 2 -S -C T + * 3 -C S -1/T + * ---------------------------------------------------------- + * + * Special cases: + * Let trig be any of sin, cos, or tan. + * trig(+-INF) is NaN, with signals; + * trig(NaN) is that NaN; + * + * Accuracy: + * TRIG(x) returns trig(x) nearly rounded + */ + + +__float128 +tanq (__float128 x) +{ + __float128 y[2],z=0.0Q; + int64_t n, ix; + + /* High word of x. */ + GET_FLT128_MSW64(ix,x); + + /* |x| ~< pi/4 */ + ix &= 0x7fffffffffffffffLL; + if(ix <= 0x3ffe921fb54442d1LL) return __quadmath_kernel_tanq(x,z,1); + + /* tanl(Inf or NaN) is NaN */ + else if (ix>=0x7fff000000000000LL) { + if (ix == 0x7fff000000000000LL) { + GET_FLT128_LSW64(n,x); + } + return x-x; /* NaN */ + } + + /* argument reduction needed */ + else { + n = __quadmath_rem_pio2q(x,y); + /* 1 -- n even, -1 -- n odd */ + return __quadmath_kernel_tanq(y[0],y[1],1-((n&1)<<1)); + } +} diff --git a/libquadmath/math/tgammaq.c b/libquadmath/math/tgammaq.c new file mode 100644 index 000000000..3305b6484 --- /dev/null +++ b/libquadmath/math/tgammaq.c @@ -0,0 +1,50 @@ +/* Implementation of gamma function according to ISO C. + Copyright (C) 1997, 1999, 2002, 2004 Free Software Foundation, Inc. + This file is part of the GNU C Library. + Contributed by Ulrich Drepper <drepper@cygnus.com>, 1997 and + Jakub Jelinek <jj@ultra.linux.cz, 1999. + + The GNU C Library is free software; you can redistribute it and/or + modify it under the terms of the GNU Lesser General Public + License as published by the Free Software Foundation; either + version 2.1 of the License, or (at your option) any later version. + + The GNU C Library is distributed in the hope that it will be useful, + but WITHOUT ANY WARRANTY; without even the implied warranty of + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + Lesser General Public License for more details. + + You should have received a copy of the GNU Lesser General Public + License along with the GNU C Library; if not, write to the Free + Software Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA + 02111-1307 USA. */ + +#include "quadmath-imp.h" + + +__float128 +tgammaq (__float128 x) +{ + /* We don't have a real gamma implementation now. We'll use lgamma + and the exp function. But due to the required boundary + conditions we must check some values separately. */ + int64_t hx; + uint64_t lx; + + GET_FLT128_WORDS64 (hx, lx, x); + + if (((hx & 0x7fffffffffffffffLL) | lx) == 0) + /* Return value for x == 0 is Inf with divide by zero exception. */ + return 1.0 / x; + + if (hx < 0 && (uint64_t) hx < 0xffff000000000000ULL && rintq (x) == x) + /* Return value for integer x < 0 is NaN with invalid exception. */ + return (x - x) / (x - x); + + if (hx == 0xffff000000000000ULL && lx == 0) + /* x == -Inf. According to ISO this is NaN. */ + return x - x; + + /* XXX FIXME. */ + return expq (lgammaq (x)); +} diff --git a/libquadmath/math/truncq.c b/libquadmath/math/truncq.c new file mode 100644 index 000000000..608871785 --- /dev/null +++ b/libquadmath/math/truncq.c @@ -0,0 +1,54 @@ +/* Truncate argument to nearest integral value not larger than the argument. + Copyright (C) 1997, 1999 Free Software Foundation, Inc. + This file is part of the GNU C Library. + Contributed by Ulrich Drepper <drepper@cygnus.com>, 1997 and + Jakub Jelinek <jj@ultra.linux.cz>, 1999. + + The GNU C Library is free software; you can redistribute it and/or + modify it under the terms of the GNU Lesser General Public + License as published by the Free Software Foundation; either + version 2.1 of the License, or (at your option) any later version. + + The GNU C Library is distributed in the hope that it will be useful, + but WITHOUT ANY WARRANTY; without even the implied warranty of + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + Lesser General Public License for more details. + + You should have received a copy of the GNU Lesser General Public + License along with the GNU C Library; if not, write to the Free + Software Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA + 02111-1307 USA. */ + +#include "quadmath-imp.h" + + +__float128 +truncq (__float128 x) +{ + int32_t j0; + uint64_t i0, i1, sx; + + GET_FLT128_WORDS64 (i0, i1, x); + sx = i0 & 0x8000000000000000ULL; + j0 = ((i0 >> 48) & 0x7fff) - 0x3fff; + if (j0 < 48) + { + if (j0 < 0) + /* The magnitude of the number is < 1 so the result is +-0. */ + SET_FLT128_WORDS64 (x, sx, 0); + else + SET_FLT128_WORDS64 (x, i0 & ~(0x0000ffffffffffffLL >> j0), 0); + } + else if (j0 > 111) + { + if (j0 == 0x4000) + /* x is inf or NaN. */ + return x + x; + } + else + { + SET_FLT128_WORDS64 (x, i0, i1 & ~(0xffffffffffffffffULL >> (j0 - 48))); + } + + return x; +} diff --git a/libquadmath/printf/_i18n_number.h b/libquadmath/printf/_i18n_number.h new file mode 100644 index 000000000..80065d88b --- /dev/null +++ b/libquadmath/printf/_i18n_number.h @@ -0,0 +1,139 @@ +/* Copyright (C) 2000, 2004, 2008 Free Software Foundation, Inc. + This file is part of the GNU C Library. + Contributed by Ulrich Drepper <drepper@gnu.org>, 2000. + + The GNU C Library is free software; you can redistribute it and/or + modify it under the terms of the GNU Lesser General Public + License as published by the Free Software Foundation; either + version 2.1 of the License, or (at your option) any later version. + + The GNU C Library is distributed in the hope that it will be useful, + but WITHOUT ANY WARRANTY; without even the implied warranty of + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + Lesser General Public License for more details. + + You should have received a copy of the GNU Lesser General Public + License along with the GNU C Library; if not, write to the Free + Software Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA + 02111-1307 USA. */ + +/* Look up the value of the next multibyte character and return its numerical + value if it is one of the digits known in the locale. If *DECIDED is + -1 this means it is not yet decided which form it is and we have to + search through all available digits. Otherwise we know which script + the digits are from. */ +static inline char * +outdigit_value (char *s, int n) +{ + const char *outdigit; + size_t dlen; + + assert (0 <= n && n <= 9); + outdigit = nl_langinfo (_NL_CTYPE_OUTDIGIT0_MB + n); + dlen = strlen (outdigit); + + s -= dlen; + while (dlen-- > 0) + s[dlen] = outdigit[dlen]; + + return s; +} + +/* Look up the value of the next multibyte character and return its numerical + value if it is one of the digits known in the locale. If *DECIDED is + -1 this means it is not yet decided which form it is and we have to + search through all available digits. Otherwise we know which script + the digits are from. */ +static inline wchar_t +outdigitwc_value (int n) +{ + assert (0 <= n && n <= 9); + + return nl_langinfo_wc (_NL_CTYPE_OUTDIGIT0_WC + n); +} + +static char * +_i18n_number_rewrite (char *w, char *rear_ptr, char *end) +{ + char decimal[MB_LEN_MAX + 1]; + char thousands[MB_LEN_MAX + 1]; + + /* "to_outpunct" is a map from ASCII decimal point and thousands-sep + to their equivalent in locale. This is defined for locales which + use extra decimal point and thousands-sep. */ + wctrans_t map = wctrans ("to_outpunct"); + wint_t wdecimal = towctrans (L_('.'), map); + wint_t wthousands = towctrans (L_(','), map); + + if (__builtin_expect (map != NULL, 0)) + { + mbstate_t state; + memset (&state, '\0', sizeof (state)); + + size_t n = wcrtomb (decimal, wdecimal, &state); + if (n == (size_t) -1) + memcpy (decimal, ".", 2); + else + decimal[n] = '\0'; + + memset (&state, '\0', sizeof (state)); + + n = wcrtomb (thousands, wthousands, &state); + if (n == (size_t) -1) + memcpy (thousands, ",", 2); + else + thousands[n] = '\0'; + } + + /* Copy existing string so that nothing gets overwritten. */ + char *src; + int use_alloca = (rear_ptr - w) < 4096; + if (__builtin_expect (use_alloca, 1)) + src = (char *) alloca (rear_ptr - w); + else + { + src = (char *) malloc (rear_ptr - w); + if (src == NULL) + /* If we cannot allocate the memory don't rewrite the string. + It is better than nothing. */ + return w; + } + + memcpy (src, w, rear_ptr - w); + char *s = src + (rear_ptr - w); + + w = end; + + /* Process all characters in the string. */ + while (--s >= src) + { + if (*s >= '0' && *s <= '9') + { + if (sizeof (char) == 1) + w = (char *) outdigit_value ((char *) w, *s - '0'); + else + *--w = (char) outdigitwc_value (*s - '0'); + } + else if (__builtin_expect (map == NULL, 1) || (*s != '.' && *s != ',')) + *--w = *s; + else + { + if (sizeof (char) == 1) + { + const char *outpunct = *s == '.' ? decimal : thousands; + size_t dlen = strlen (outpunct); + + w -= dlen; + while (dlen-- > 0) + w[dlen] = outpunct[dlen]; + } + else + *--w = *s == '.' ? (char) wdecimal : (char) wthousands; + } + } + + if (! use_alloca) + free (src); + + return w; +} diff --git a/libquadmath/printf/_itoa.h b/libquadmath/printf/_itoa.h new file mode 100644 index 000000000..a0cd2b05c --- /dev/null +++ b/libquadmath/printf/_itoa.h @@ -0,0 +1,77 @@ +/* Internal function for converting integers to ASCII. + Copyright (C) 1994-1999,2002,2003,2007 Free Software Foundation, Inc. + This file is part of the GNU C Library. + + The GNU C Library is free software; you can redistribute it and/or + modify it under the terms of the GNU Lesser General Public + License as published by the Free Software Foundation; either + version 2.1 of the License, or (at your option) any later version. + + The GNU C Library is distributed in the hope that it will be useful, + but WITHOUT ANY WARRANTY; without even the implied warranty of + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + Lesser General Public License for more details. + + You should have received a copy of the GNU Lesser General Public + License along with the GNU C Library; if not, write to the Free + Software Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA + 02111-1307 USA. */ + +#ifndef _ITOA_H +#define _ITOA_H + +/* Convert VALUE into ASCII in base BASE (2..16). + Write backwards starting the character just before BUFLIM. + Return the address of the first (left-to-right) character in the number. + Use upper case letters iff UPPER_CASE is nonzero. */ + +static const char _itoa_lower_digits[16] = "0123456789abcdef"; +static const char _itoa_upper_digits[16] = "0123456789ABCDEF"; + +static inline char * __attribute__ ((unused, always_inline)) +_itoa_word (unsigned long value, char *buflim, + unsigned int base, int upper_case) +{ + const char *digits = (upper_case ? _itoa_upper_digits : _itoa_lower_digits); + + switch (base) + { +# define SPECIAL(Base) \ + case Base: \ + do \ + *--buflim = digits[value % Base]; \ + while ((value /= Base) != 0); \ + break + + SPECIAL (10); + SPECIAL (16); + SPECIAL (8); + default: + do + *--buflim = digits[value % base]; + while ((value /= base) != 0); + } + return buflim; +} + +static inline char * __attribute__ ((unused, always_inline)) +_itoa (uint64_t value, char *buflim, + unsigned int base, int upper_case) +{ + const char *digits = (upper_case ? _itoa_upper_digits : _itoa_lower_digits); + + switch (base) + { + SPECIAL (10); + SPECIAL (16); + SPECIAL (8); + default: + do + *--buflim = digits[value % base]; + while ((value /= base) != 0); + } + return buflim; +} +# undef SPECIAL + +#endif /* itoa.h */ diff --git a/libquadmath/printf/_itowa.h b/libquadmath/printf/_itowa.h new file mode 100644 index 000000000..4717b5c65 --- /dev/null +++ b/libquadmath/printf/_itowa.h @@ -0,0 +1,83 @@ +/* Internal function for converting integers to ASCII. + Copyright (C) 1994,95,96,97,98,99,2002,2003 Free Software Foundation, Inc. + This file is part of the GNU C Library. + + The GNU C Library is free software; you can redistribute it and/or + modify it under the terms of the GNU Lesser General Public + License as published by the Free Software Foundation; either + version 2.1 of the License, or (at your option) any later version. + + The GNU C Library is distributed in the hope that it will be useful, + but WITHOUT ANY WARRANTY; without even the implied warranty of + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + Lesser General Public License for more details. + + You should have received a copy of the GNU Lesser General Public + License along with the GNU C Library; if not, write to the Free + Software Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA + 02111-1307 USA. */ + +#ifndef _ITOWA_H +#define _ITOWA_H 1 + +/* Convert VALUE into ASCII in base BASE (2..16). + Write backwards starting the character just before BUFLIM. + Return the address of the first (left-to-right) character in the number. + Use upper case letters iff UPPER_CASE is nonzero. */ + +static const wchar_t _itowa_lower_digits[16] = L_("0123456789abcdef"); +static const wchar_t _itowa_upper_digits[16] = L_("0123456789ABCDEF"); + +static inline wchar_t * +__attribute__ ((unused, always_inline)) +_itowa_word (unsigned long value, wchar_t *buflim, + unsigned int base, int upper_case) +{ + const wchar_t *digits = (upper_case + ? _itowa_upper_digits : _itowa_lower_digits); + wchar_t *bp = buflim; + + switch (base) + { +#define SPECIAL(Base) \ + case Base: \ + do \ + *--bp = digits[value % Base]; \ + while ((value /= Base) != 0); \ + break + + SPECIAL (10); + SPECIAL (16); + SPECIAL (8); + default: + do + *--bp = digits[value % base]; + while ((value /= base) != 0); + } + return bp; +} + +static inline wchar_t * +__attribute__ ((unused, always_inline)) +_itowa (uint64_t value, wchar_t *buflim, + unsigned int base, int upper_case) +{ + const wchar_t *digits = (upper_case + ? _itowa_upper_digits : _itowa_lower_digits); + wchar_t *bp = buflim; + + switch (base) + { + SPECIAL (10); + SPECIAL (16); + SPECIAL (8); + default: + do + *--bp = digits[value % base]; + while ((value /= base) != 0); + } + return bp; +} +#undef SPECIAL + +#endif /* itowa.h */ diff --git a/libquadmath/printf/add_n.c b/libquadmath/printf/add_n.c new file mode 100644 index 000000000..749cf3ee8 --- /dev/null +++ b/libquadmath/printf/add_n.c @@ -0,0 +1,62 @@ +/* mpn_add_n -- Add two limb vectors of equal, non-zero length. + +Copyright (C) 1992, 1993, 1994, 1996 Free Software Foundation, Inc. + +This file is part of the GNU MP Library. + +The GNU MP Library is free software; you can redistribute it and/or modify +it under the terms of the GNU Lesser General Public License as published by +the Free Software Foundation; either version 2.1 of the License, or (at your +option) any later version. + +The GNU MP Library is distributed in the hope that it will be useful, but +WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY +or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public +License for more details. + +You should have received a copy of the GNU Lesser General Public License +along with the GNU MP Library; see the file COPYING.LIB. If not, write to +the Free Software Foundation, Inc., 59 Temple Place - Suite 330, Boston, +MA 02111-1307, USA. */ + +#include <config.h> +#include "gmp-impl.h" + +mp_limb_t +#if __STDC__ +mpn_add_n (mp_ptr res_ptr, mp_srcptr s1_ptr, mp_srcptr s2_ptr, mp_size_t size) +#else +mpn_add_n (res_ptr, s1_ptr, s2_ptr, size) + register mp_ptr res_ptr; + register mp_srcptr s1_ptr; + register mp_srcptr s2_ptr; + mp_size_t size; +#endif +{ + register mp_limb_t x, y, cy; + register mp_size_t j; + + /* The loop counter and index J goes from -SIZE to -1. This way + the loop becomes faster. */ + j = -size; + + /* Offset the base pointers to compensate for the negative indices. */ + s1_ptr -= j; + s2_ptr -= j; + res_ptr -= j; + + cy = 0; + do + { + y = s2_ptr[j]; + x = s1_ptr[j]; + y += cy; /* add previous carry to one addend */ + cy = (y < cy); /* get out carry from that addition */ + y = x + y; /* add other addend */ + cy = (y < x) + cy; /* get out carry from that add, combine */ + res_ptr[j] = y; + } + while (++j != 0); + + return cy; +} diff --git a/libquadmath/printf/addmul_1.c b/libquadmath/printf/addmul_1.c new file mode 100644 index 000000000..f527f9848 --- /dev/null +++ b/libquadmath/printf/addmul_1.c @@ -0,0 +1,64 @@ +/* mpn_addmul_1 -- multiply the S1_SIZE long limb vector pointed to by S1_PTR + by S2_LIMB, add the S1_SIZE least significant limbs of the product to the + limb vector pointed to by RES_PTR. Return the most significant limb of + the product, adjusted for carry-out from the addition. + +Copyright (C) 1992, 1993, 1994, 1996 Free Software Foundation, Inc. + +This file is part of the GNU MP Library. + +The GNU MP Library is free software; you can redistribute it and/or modify +it under the terms of the GNU Lesser General Public License as published by +the Free Software Foundation; either version 2.1 of the License, or (at your +option) any later version. + +The GNU MP Library is distributed in the hope that it will be useful, but +WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY +or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public +License for more details. + +You should have received a copy of the GNU Lesser General Public License +along with the GNU MP Library; see the file COPYING.LIB. If not, write to +the Free Software Foundation, Inc., 59 Temple Place - Suite 330, Boston, +MA 02111-1307, USA. */ + +#include <config.h> +#include "gmp-impl.h" + +mp_limb_t +mpn_addmul_1 (res_ptr, s1_ptr, s1_size, s2_limb) + register mp_ptr res_ptr; + register mp_srcptr s1_ptr; + mp_size_t s1_size; + register mp_limb_t s2_limb; +{ + register mp_limb_t cy_limb; + register mp_size_t j; + register mp_limb_t prod_high, prod_low; + register mp_limb_t x; + + /* The loop counter and index J goes from -SIZE to -1. This way + the loop becomes faster. */ + j = -s1_size; + + /* Offset the base pointers to compensate for the negative indices. */ + res_ptr -= j; + s1_ptr -= j; + + cy_limb = 0; + do + { + umul_ppmm (prod_high, prod_low, s1_ptr[j], s2_limb); + + prod_low += cy_limb; + cy_limb = (prod_low < cy_limb) + prod_high; + + x = res_ptr[j]; + prod_low = x + prod_low; + cy_limb += (prod_low < x); + res_ptr[j] = prod_low; + } + while (++j != 0); + + return cy_limb; +} diff --git a/libquadmath/printf/cmp.c b/libquadmath/printf/cmp.c new file mode 100644 index 000000000..a4be43e2a --- /dev/null +++ b/libquadmath/printf/cmp.c @@ -0,0 +1,56 @@ +/* mpn_cmp -- Compare two low-level natural-number integers. + +Copyright (C) 1991, 1993, 1994, 1996 Free Software Foundation, Inc. + +This file is part of the GNU MP Library. + +The GNU MP Library is free software; you can redistribute it and/or modify +it under the terms of the GNU Lesser General Public License as published by +the Free Software Foundation; either version 2.1 of the License, or (at your +option) any later version. + +The GNU MP Library is distributed in the hope that it will be useful, but +WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY +or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public +License for more details. + +You should have received a copy of the GNU Lesser General Public License +along with the GNU MP Library; see the file COPYING.LIB. If not, write to +the Free Software Foundation, Inc., 59 Temple Place - Suite 330, Boston, +MA 02111-1307, USA. */ + +#include <config.h> +#include "gmp-impl.h" + +/* Compare OP1_PTR/OP1_SIZE with OP2_PTR/OP2_SIZE. + There are no restrictions on the relative sizes of + the two arguments. + Return 1 if OP1 > OP2, 0 if they are equal, and -1 if OP1 < OP2. */ + +int +#if __STDC__ +mpn_cmp (mp_srcptr op1_ptr, mp_srcptr op2_ptr, mp_size_t size) +#else +mpn_cmp (op1_ptr, op2_ptr, size) + mp_srcptr op1_ptr; + mp_srcptr op2_ptr; + mp_size_t size; +#endif +{ + mp_size_t i; + mp_limb_t op1_word, op2_word; + + for (i = size - 1; i >= 0; i--) + { + op1_word = op1_ptr[i]; + op2_word = op2_ptr[i]; + if (op1_word != op2_word) + goto diff; + } + return 0; + diff: + /* This can *not* be simplified to + op2_word - op2_word + since that expression might give signed overflow. */ + return (op1_word > op2_word) ? 1 : -1; +} diff --git a/libquadmath/printf/divrem.c b/libquadmath/printf/divrem.c new file mode 100644 index 000000000..944d1a0c0 --- /dev/null +++ b/libquadmath/printf/divrem.c @@ -0,0 +1,244 @@ +/* mpn_divrem -- Divide natural numbers, producing both remainder and + quotient. + +Copyright (C) 1993, 1994, 1995, 1996 Free Software Foundation, Inc. + +This file is part of the GNU MP Library. + +The GNU MP Library is free software; you can redistribute it and/or modify +it under the terms of the GNU Lesser General Public License as published by +the Free Software Foundation; either version 2.1 of the License, or (at your +option) any later version. + +The GNU MP Library is distributed in the hope that it will be useful, but +WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY +or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public +License for more details. + +You should have received a copy of the GNU Lesser General Public License +along with the GNU MP Library; see the file COPYING.LIB. If not, write to +the Free Software Foundation, Inc., 59 Temple Place - Suite 330, Boston, +MA 02111-1307, USA. */ + +#include <config.h> +#include "gmp-impl.h" + +/* Divide num (NP/NSIZE) by den (DP/DSIZE) and write + the NSIZE-DSIZE least significant quotient limbs at QP + and the DSIZE long remainder at NP. If QEXTRA_LIMBS is + non-zero, generate that many fraction bits and append them after the + other quotient limbs. + Return the most significant limb of the quotient, this is always 0 or 1. + + Preconditions: + 0. NSIZE >= DSIZE. + 1. The most significant bit of the divisor must be set. + 2. QP must either not overlap with the input operands at all, or + QP + DSIZE >= NP must hold true. (This means that it's + possible to put the quotient in the high part of NUM, right after the + remainder in NUM. + 3. NSIZE >= DSIZE, even if QEXTRA_LIMBS is non-zero. */ + +mp_limb_t +#if __STDC__ +mpn_divrem (mp_ptr qp, mp_size_t qextra_limbs, + mp_ptr np, mp_size_t nsize, + mp_srcptr dp, mp_size_t dsize) +#else +mpn_divrem (qp, qextra_limbs, np, nsize, dp, dsize) + mp_ptr qp; + mp_size_t qextra_limbs; + mp_ptr np; + mp_size_t nsize; + mp_srcptr dp; + mp_size_t dsize; +#endif +{ + mp_limb_t most_significant_q_limb = 0; + + switch (dsize) + { + case 0: + /* We are asked to divide by zero, so go ahead and do it! (To make + the compiler not remove this statement, return the value.) */ + return 1 / dsize; + + case 1: + { + mp_size_t i; + mp_limb_t n1; + mp_limb_t d; + + d = dp[0]; + n1 = np[nsize - 1]; + + if (n1 >= d) + { + n1 -= d; + most_significant_q_limb = 1; + } + + qp += qextra_limbs; + for (i = nsize - 2; i >= 0; i--) + udiv_qrnnd (qp[i], n1, n1, np[i], d); + qp -= qextra_limbs; + + for (i = qextra_limbs - 1; i >= 0; i--) + udiv_qrnnd (qp[i], n1, n1, 0, d); + + np[0] = n1; + } + break; + + case 2: + { + mp_size_t i; + mp_limb_t n1, n0, n2; + mp_limb_t d1, d0; + + np += nsize - 2; + d1 = dp[1]; + d0 = dp[0]; + n1 = np[1]; + n0 = np[0]; + + if (n1 >= d1 && (n1 > d1 || n0 >= d0)) + { + sub_ddmmss (n1, n0, n1, n0, d1, d0); + most_significant_q_limb = 1; + } + + for (i = qextra_limbs + nsize - 2 - 1; i >= 0; i--) + { + mp_limb_t q; + mp_limb_t r; + + if (i >= qextra_limbs) + np--; + else + np[0] = 0; + + if (n1 == d1) + { + /* Q should be either 111..111 or 111..110. Need special + treatment of this rare case as normal division would + give overflow. */ + q = ~(mp_limb_t) 0; + + r = n0 + d1; + if (r < d1) /* Carry in the addition? */ + { + add_ssaaaa (n1, n0, r - d0, np[0], 0, d0); + qp[i] = q; + continue; + } + n1 = d0 - (d0 != 0); + n0 = -d0; + } + else + { + udiv_qrnnd (q, r, n1, n0, d1); + umul_ppmm (n1, n0, d0, q); + } + + n2 = np[0]; + q_test: + if (n1 > r || (n1 == r && n0 > n2)) + { + /* The estimated Q was too large. */ + q--; + + sub_ddmmss (n1, n0, n1, n0, 0, d0); + r += d1; + if (r >= d1) /* If not carry, test Q again. */ + goto q_test; + } + + qp[i] = q; + sub_ddmmss (n1, n0, r, n2, n1, n0); + } + np[1] = n1; + np[0] = n0; + } + break; + + default: + { + mp_size_t i; + mp_limb_t dX, d1, n0; + + np += nsize - dsize; + dX = dp[dsize - 1]; + d1 = dp[dsize - 2]; + n0 = np[dsize - 1]; + + if (n0 >= dX) + { + if (n0 > dX || mpn_cmp (np, dp, dsize - 1) >= 0) + { + mpn_sub_n (np, np, dp, dsize); + n0 = np[dsize - 1]; + most_significant_q_limb = 1; + } + } + + for (i = qextra_limbs + nsize - dsize - 1; i >= 0; i--) + { + mp_limb_t q; + mp_limb_t n1, n2; + mp_limb_t cy_limb; + + if (i >= qextra_limbs) + { + np--; + n2 = np[dsize]; + } + else + { + n2 = np[dsize - 1]; + MPN_COPY_DECR (np + 1, np, dsize); + np[0] = 0; + } + + if (n0 == dX) + /* This might over-estimate q, but it's probably not worth + the extra code here to find out. */ + q = ~(mp_limb_t) 0; + else + { + mp_limb_t r; + + udiv_qrnnd (q, r, n0, np[dsize - 1], dX); + umul_ppmm (n1, n0, d1, q); + + while (n1 > r || (n1 == r && n0 > np[dsize - 2])) + { + q--; + r += dX; + if (r < dX) /* I.e. "carry in previous addition?" */ + break; + n1 -= n0 < d1; + n0 -= d1; + } + } + + /* Possible optimization: We already have (q * n0) and (1 * n1) + after the calculation of q. Taking advantage of that, we + could make this loop make two iterations less. */ + + cy_limb = mpn_submul_1 (np, dp, dsize, q); + + if (n2 != cy_limb) + { + mpn_add_n (np, np, dp, dsize); + q--; + } + + qp[i] = q; + n0 = np[dsize - 1]; + } + } + } + + return most_significant_q_limb; +} diff --git a/libquadmath/printf/flt1282mpn.c b/libquadmath/printf/flt1282mpn.c new file mode 100644 index 000000000..0105314ef --- /dev/null +++ b/libquadmath/printf/flt1282mpn.c @@ -0,0 +1,136 @@ +/* Copyright (C) 1995,1996,1997,1998,1999,2002,2003 + Free Software Foundation, Inc. + This file is part of the GNU C Library. + + The GNU C Library is free software; you can redistribute it and/or + modify it under the terms of the GNU Lesser General Public + License as published by the Free Software Foundation; either + version 2.1 of the License, or (at your option) any later version. + + The GNU C Library is distributed in the hope that it will be useful, + but WITHOUT ANY WARRANTY; without even the implied warranty of + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + Lesser General Public License for more details. + + You should have received a copy of the GNU Lesser General Public + License along with the GNU C Library; if not, write to the Free + Software Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA + 02111-1307 USA. */ + +#include <float.h> +#include <math.h> +#include <stdlib.h> +#include "gmp-impl.h" + +/* Convert a `__float128' in IEEE854 quad-precision format to a + multi-precision integer representing the significand scaled up by its + number of bits (113 for long double) and an integral power of two + (MPN frexpl). */ + +mp_size_t +mpn_extract_flt128 (mp_ptr res_ptr, mp_size_t size, + int *expt, int *is_neg, + __float128 value) +{ + ieee854_float128 u; + u.value = value; + + *is_neg = u.ieee.negative; + *expt = (int) u.ieee.exponent - IEEE854_FLOAT128_BIAS; + +#if BITS_PER_MP_LIMB == 32 + res_ptr[0] = u.ieee.mant_low; /* Low-order 32 bits of fraction. */ + res_ptr[1] = (u.ieee.mant_low >> 32); + res_ptr[2] = u.ieee.mant_high; + res_ptr[3] = (u.ieee.mant_high >> 32); /* High-order 32 bits. */ + #define N 4 +#elif BITS_PER_MP_LIMB == 64 + res_ptr[0] = u.ieee.mant_low; + res_ptr[1] = u.ieee.mant_high; + #define N 2 +#else + #error "mp_limb size " BITS_PER_MP_LIMB "not accounted for" +#endif +/* The format does not fill the last limb. There are some zeros. */ +#define NUM_LEADING_ZEROS (BITS_PER_MP_LIMB \ + - (FLT128_MANT_DIG - ((N - 1) * BITS_PER_MP_LIMB))) + + if (u.ieee.exponent == 0) + { + /* A biased exponent of zero is a special case. + Either it is a zero or it is a denormal number. */ + if (res_ptr[0] == 0 && res_ptr[1] == 0 + && res_ptr[N - 2] == 0 && res_ptr[N - 1] == 0) /* Assumes N<=4. */ + /* It's zero. */ + *expt = 0; + else + { + /* It is a denormal number, meaning it has no implicit leading + one bit, and its exponent is in fact the format minimum. */ + int cnt; + +#if N == 2 + if (res_ptr[N - 1] != 0) + { + count_leading_zeros (cnt, res_ptr[N - 1]); + cnt -= NUM_LEADING_ZEROS; + res_ptr[N - 1] = res_ptr[N - 1] << cnt + | (res_ptr[0] >> (BITS_PER_MP_LIMB - cnt)); + res_ptr[0] <<= cnt; + *expt = FLT128_MIN_EXP - 1 - cnt; + } + else + { + count_leading_zeros (cnt, res_ptr[0]); + if (cnt >= NUM_LEADING_ZEROS) + { + res_ptr[N - 1] = res_ptr[0] << (cnt - NUM_LEADING_ZEROS); + res_ptr[0] = 0; + } + else + { + res_ptr[N - 1] = res_ptr[0] >> (NUM_LEADING_ZEROS - cnt); + res_ptr[0] <<= BITS_PER_MP_LIMB - (NUM_LEADING_ZEROS - cnt); + } + *expt = FLT128_MIN_EXP - 1 + - (BITS_PER_MP_LIMB - NUM_LEADING_ZEROS) - cnt; + } +#else + int j, k, l; + + for (j = N - 1; j > 0; j--) + if (res_ptr[j] != 0) + break; + + count_leading_zeros (cnt, res_ptr[j]); + cnt -= NUM_LEADING_ZEROS; + l = N - 1 - j; + if (cnt < 0) + { + cnt += BITS_PER_MP_LIMB; + l--; + } + if (!cnt) + for (k = N - 1; k >= l; k--) + res_ptr[k] = res_ptr[k-l]; + else + { + for (k = N - 1; k > l; k--) + res_ptr[k] = res_ptr[k-l] << cnt + | res_ptr[k-l-1] >> (BITS_PER_MP_LIMB - cnt); + res_ptr[k--] = res_ptr[0] << cnt; + } + + for (; k >= 0; k--) + res_ptr[k] = 0; + *expt = FLT128_MIN_EXP - 1 - l * BITS_PER_MP_LIMB - cnt; +#endif + } + } + else + /* Add the implicit leading one bit for a normalized number. */ + res_ptr[N - 1] |= (mp_limb_t) 1 << (FLT128_MANT_DIG - 1 + - ((N - 1) * BITS_PER_MP_LIMB)); + + return N; +} diff --git a/libquadmath/printf/fpioconst.c b/libquadmath/printf/fpioconst.c new file mode 100644 index 000000000..8c67e6f90 --- /dev/null +++ b/libquadmath/printf/fpioconst.c @@ -0,0 +1,463 @@ +/* Table of MP integer constants 10^(2^i), used for floating point <-> decimal. + Copyright (C) 1995, 1996, 1997, 1998, 1999, 2002, 2003 + Free Software Foundation, Inc. + This file is part of the GNU C Library. + + The GNU C Library is free software; you can redistribute it and/or + modify it under the terms of the GNU Lesser General Public + License as published by the Free Software Foundation; either + version 2.1 of the License, or (at your option) any later version. + + The GNU C Library is distributed in the hope that it will be useful, + but WITHOUT ANY WARRANTY; without even the implied warranty of + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + Lesser General Public License for more details. + + You should have received a copy of the GNU Lesser General Public + License along with the GNU C Library; if not, write to the Free + Software Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA + 02111-1307 USA. */ + +#include <config.h> +#include "gmp-impl.h" /* This defines BITS_PER_MP_LIMB. */ +#include "fpioconst.h" + +/* First page : 32-bit limbs + Second page : 64-bit limbs + Last page : table of pointers + */ + +#if BITS_PER_MP_LIMB == 32 + +/* Table with constants of 10^(2^i), i=0..12 for 32-bit limbs. */ + +const mp_limb_t __tens[] = +{ +#define TENS_P0_IDX 0 +#define TENS_P0_SIZE 3 + [TENS_P0_IDX] = 0x00000000, 0x00000000, 0x0000000a, + +#define TENS_P1_IDX (TENS_P0_IDX + TENS_P0_SIZE) +#define TENS_P1_SIZE 3 + [TENS_P1_IDX] = 0x00000000, 0x00000000, 0x00000064, + +#define TENS_P2_IDX (TENS_P1_IDX + TENS_P1_SIZE) +#define TENS_P2_SIZE 3 + [TENS_P2_IDX] = 0x00000000, 0x00000000, 0x00002710, + +#define TENS_P3_IDX (TENS_P2_IDX + TENS_P2_SIZE) +#define TENS_P3_SIZE 3 + [TENS_P3_IDX] = 0x00000000, 0x00000000, 0x05f5e100, + +#define TENS_P4_IDX (TENS_P3_IDX + TENS_P3_SIZE) +#define TENS_P4_SIZE 4 + [TENS_P4_IDX] = 0x00000000, 0x00000000, 0x6fc10000, 0x002386f2, + +#define TENS_P5_IDX (TENS_P4_IDX + TENS_P4_SIZE) +#define TENS_P5_SIZE 6 + [TENS_P5_IDX] = 0x00000000, 0x00000000, 0x00000000, 0x85acef81, 0x2d6d415b, + 0x000004ee, + +#define TENS_P6_IDX (TENS_P5_IDX + TENS_P5_SIZE) +#define TENS_P6_SIZE 9 + [TENS_P6_IDX] = 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0xbf6a1f01, + 0x6e38ed64, 0xdaa797ed, 0xe93ff9f4, 0x00184f03, + +#define TENS_P7_IDX (TENS_P6_IDX + TENS_P6_SIZE) +#define TENS_P7_SIZE 16 + [TENS_P7_IDX] = 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, + 0x00000000, 0x2e953e01, 0x03df9909, 0x0f1538fd, 0x2374e42f, 0xd3cff5ec, + 0xc404dc08, 0xbccdb0da, 0xa6337f19, 0xe91f2603, 0x0000024e, + +#define TENS_P8_IDX (TENS_P7_IDX + TENS_P7_SIZE) +#define TENS_P8_SIZE 29 + [TENS_P8_IDX] = 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, + 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x982e7c01, + 0xbed3875b, 0xd8d99f72, 0x12152f87, 0x6bde50c6, 0xcf4a6e70, 0xd595d80f, + 0x26b2716e, 0xadc666b0, 0x1d153624, 0x3c42d35a, 0x63ff540e, 0xcc5573c0, + 0x65f9ef17, 0x55bc28f2, 0x80dcc7f7, 0xf46eeddc, 0x5fdcefce, 0x000553f7, + +#ifndef __NO_LONG_DOUBLE_MATH +# define TENS_P9_IDX (TENS_P8_IDX + TENS_P8_SIZE) +# define TENS_P9_SIZE 56 + [TENS_P9_IDX] = 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, + 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, + 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, + 0x00000000, 0xfc6cf801, 0x77f27267, 0x8f9546dc, 0x5d96976f, 0xb83a8a97, + 0xc31e1ad9, 0x46c40513, 0x94e65747, 0xc88976c1, 0x4475b579, 0x28f8733b, + 0xaa1da1bf, 0x703ed321, 0x1e25cfea, 0xb21a2f22, 0xbc51fb2e, 0x96e14f5d, + 0xbfa3edac, 0x329c57ae, 0xe7fc7153, 0xc3fc0695, 0x85a91924, 0xf95f635e, + 0xb2908ee0, 0x93abade4, 0x1366732a, 0x9449775c, 0x69be5b0e, 0x7343afac, + 0xb099bc81, 0x45a71d46, 0xa2699748, 0x8cb07303, 0x8a0b1f13, 0x8cab8a97, + 0xc1d238d9, 0x633415d4, 0x0000001c, + +# define TENS_P10_IDX (TENS_P9_IDX + TENS_P9_SIZE) +# define TENS_P10_SIZE 109 + [TENS_P10_IDX] = 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, + 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, + 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, + 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, + 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, + 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x2919f001, + 0xf55b2b72, 0x6e7c215b, 0x1ec29f86, 0x991c4e87, 0x15c51a88, 0x140ac535, + 0x4c7d1e1a, 0xcc2cd819, 0x0ed1440e, 0x896634ee, 0x7de16cfb, 0x1e43f61f, + 0x9fce837d, 0x231d2b9c, 0x233e55c7, 0x65dc60d7, 0xf451218b, 0x1c5cd134, + 0xc9635986, 0x922bbb9f, 0xa7e89431, 0x9f9f2a07, 0x62be695a, 0x8e1042c4, + 0x045b7a74, 0x1abe1de3, 0x8ad822a5, 0xba34c411, 0xd814b505, 0xbf3fdeb3, + 0x8fc51a16, 0xb1b896bc, 0xf56deeec, 0x31fb6bfd, 0xb6f4654b, 0x101a3616, + 0x6b7595fb, 0xdc1a47fe, 0x80d98089, 0x80bda5a5, 0x9a202882, 0x31eb0f66, + 0xfc8f1f90, 0x976a3310, 0xe26a7b7e, 0xdf68368a, 0x3ce3a0b8, 0x8e4262ce, + 0x75a351a2, 0x6cb0b6c9, 0x44597583, 0x31b5653f, 0xc356e38a, 0x35faaba6, + 0x0190fba0, 0x9fc4ed52, 0x88bc491b, 0x1640114a, 0x005b8041, 0xf4f3235e, + 0x1e8d4649, 0x36a8de06, 0x73c55349, 0xa7e6bd2a, 0xc1a6970c, 0x47187094, + 0xd2db49ef, 0x926c3f5b, 0xae6209d4, 0x2d433949, 0x34f4a3c6, 0xd4305d94, + 0xd9d61a05, 0x00000325, + +# define TENS_P11_IDX (TENS_P10_IDX + TENS_P10_SIZE) +# define TENS_P11_SIZE 215 + [TENS_P11_IDX] = 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, + 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, + 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, + 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, + 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, + 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, + 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, + 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, + 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, + 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, + 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, + 0x00000000, 0x1333e001, 0xe3096865, 0xb27d4d3f, 0x49e28dcf, 0xec2e4721, + 0xee87e354, 0xb6067584, 0x368b8abb, 0xa5e5a191, 0x2ed56d55, 0xfd827773, + 0xea50d142, 0x51b78db2, 0x98342c9e, 0xc850dabc, 0x866ed6f1, 0x19342c12, + 0x92794987, 0xd2f869c2, 0x66912e4a, 0x71c7fd8f, 0x57a7842d, 0x235552eb, + 0xfb7fedcc, 0xf3861ce0, 0x38209ce1, 0x9713b449, 0x34c10134, 0x8c6c54de, + 0xa7a8289c, 0x2dbb6643, 0xe3cb64f3, 0x8074ff01, 0xe3892ee9, 0x10c17f94, + 0xa8f16f92, 0xa8281ed6, 0x967abbb3, 0x5a151440, 0x9952fbed, 0x13b41e44, + 0xafe609c3, 0xa2bca416, 0xf111821f, 0xfb1264b4, 0x91bac974, 0xd6c7d6ab, + 0x8e48ff35, 0x4419bd43, 0xc4a65665, 0x685e5510, 0x33554c36, 0xab498697, + 0x0dbd21fe, 0x3cfe491d, 0x982da466, 0xcbea4ca7, 0x9e110c7b, 0x79c56b8a, + 0x5fc5a047, 0x84d80e2e, 0x1aa9f444, 0x730f203c, 0x6a57b1ab, 0xd752f7a6, + 0x87a7dc62, 0x944545ff, 0x40660460, 0x77c1a42f, 0xc9ac375d, 0xe866d7ef, + 0x744695f0, 0x81428c85, 0xa1fc6b96, 0xd7917c7b, 0x7bf03c19, 0x5b33eb41, + 0x5715f791, 0x8f6cae5f, 0xdb0708fd, 0xb125ac8e, 0x785ce6b7, 0x56c6815b, + 0x6f46eadb, 0x4eeebeee, 0x195355d8, 0xa244de3c, 0x9d7389c0, 0x53761abd, + 0xcf99d019, 0xde9ec24b, 0x0d76ce39, 0x70beb181, 0x2e55ecee, 0xd5f86079, + 0xf56d9d4b, 0xfb8886fb, 0x13ef5a83, 0x408f43c5, 0x3f3389a4, 0xfad37943, + 0x58ccf45c, 0xf82df846, 0x415c7f3e, 0x2915e818, 0x8b3d5cf4, 0x6a445f27, + 0xf8dbb57a, 0xca8f0070, 0x8ad803ec, 0xb2e87c34, 0x038f9245, 0xbedd8a6c, + 0xc7c9dee0, 0x0eac7d56, 0x2ad3fa14, 0xe0de0840, 0xf775677c, 0xf1bd0ad5, + 0x92be221e, 0x87fa1fb9, 0xce9d04a4, 0xd2c36fa9, 0x3f6f7024, 0xb028af62, + 0x907855ee, 0xd83e49d6, 0x4efac5dc, 0xe7151aab, 0x77cd8c6b, 0x0a753b7d, + 0x0af908b4, 0x8c983623, 0xe50f3027, 0x94222771, 0x1d08e2d6, 0xf7e928e6, + 0xf2ee5ca6, 0x1b61b93c, 0x11eb962b, 0x9648b21c, 0xce2bcba1, 0x34f77154, + 0x7bbebe30, 0xe526a319, 0x8ce329ac, 0xde4a74d2, 0xb5dc53d5, 0x0009e8b3, + +# define TENS_P12_IDX (TENS_P11_IDX + TENS_P11_SIZE) +# define TENS_P12_SIZE 428 + [TENS_P12_IDX] = 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, + 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, + 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, + 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, + 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, + 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, + 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, + 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, + 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, + 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, + 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, + 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, + 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, + 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, + 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, + 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, + 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, + 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, + 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, + 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, + 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, + 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x2a67c001, + 0xd4724e8d, 0x8efe7ae7, 0xf89a1e90, 0xef084117, 0x54e05154, 0x13b1bb51, + 0x506be829, 0xfb29b172, 0xe599574e, 0xf0da6146, 0x806c0ed3, 0xb86ae5be, + 0x45155e93, 0xc0591cc2, 0x7e1e7c34, 0x7c4823da, 0x1d1f4cce, 0x9b8ba1e8, + 0xd6bfdf75, 0xe341be10, 0xc2dfae78, 0x016b67b2, 0x0f237f1a, 0x3dbeabcd, + 0xaf6a2574, 0xcab3e6d7, 0x142e0e80, 0x61959127, 0x2c234811, 0x87009701, + 0xcb4bf982, 0xf8169c84, 0x88052f8c, 0x68dde6d4, 0xbc131761, 0xff0b0905, + 0x54ab9c41, 0x7613b224, 0x1a1c304e, 0x3bfe167b, 0x441c2d47, 0x4f6cea9c, + 0x78f06181, 0xeb659fb8, 0x30c7ae41, 0x947e0d0e, 0xa1ebcad7, 0xd97d9556, + 0x2130504d, 0x1a8309cb, 0xf2acd507, 0x3f8ec72a, 0xfd82373a, 0x95a842bc, + 0x280f4d32, 0xf3618ac0, 0x811a4f04, 0x6dc3a5b4, 0xd3967a1b, 0x15b8c898, + 0xdcfe388f, 0x454eb2a0, 0x8738b909, 0x10c4e996, 0x2bd9cc11, 0x3297cd0c, + 0x655fec30, 0xae0725b1, 0xf4090ee8, 0x037d19ee, 0x398c6fed, 0x3b9af26b, + 0xc994a450, 0xb5341743, 0x75a697b2, 0xac50b9c1, 0x3ccb5b92, 0xffe06205, + 0xa8329761, 0xdfea5242, 0xeb83cadb, 0xe79dadf7, 0x3c20ee69, 0x1e0a6817, + 0x7021b97a, 0x743074fa, 0x176ca776, 0x77fb8af6, 0xeca19beb, 0x92baf1de, + 0xaf63b712, 0xde35c88b, 0xa4eb8f8c, 0xe137d5e9, 0x40b464a0, 0x87d1cde8, + 0x42923bbd, 0xcd8f62ff, 0x2e2690f3, 0x095edc16, 0x59c89f1b, 0x1fa8fd5d, + 0x5138753d, 0x390a2b29, 0x80152f18, 0x2dd8d925, 0xf984d83e, 0x7a872e74, + 0xc19e1faf, 0xed4d542d, 0xecf9b5d0, 0x9462ea75, 0xc53c0adf, 0x0caea134, + 0x37a2d439, 0xc8fa2e8a, 0x2181327e, 0x6e7bb827, 0x2d240820, 0x50be10e0, + 0x5893d4b8, 0xab312bb9, 0x1f2b2322, 0x440b3f25, 0xbf627ede, 0x72dac789, + 0xb608b895, 0x78787e2a, 0x86deb3f0, 0x6fee7aab, 0xbb9373f4, 0x27ecf57b, + 0xf7d8b57e, 0xfca26a9f, 0x3d04e8d2, 0xc9df13cb, 0x3172826a, 0xcd9e8d7c, + 0xa8fcd8e0, 0xb2c39497, 0x307641d9, 0x1cc939c1, 0x2608c4cf, 0xb6d1c7bf, + 0x3d326a7e, 0xeeaf19e6, 0x8e13e25f, 0xee63302b, 0x2dfe6d97, 0x25971d58, + 0xe41d3cc4, 0x0a80627c, 0xab8db59a, 0x9eea37c8, 0xe90afb77, 0x90ca19cf, + 0x9ee3352c, 0x3613c850, 0xfe78d682, 0x788f6e50, 0x5b060904, 0xb71bd1a4, + 0x3fecb534, 0xb32c450c, 0x20c33857, 0xa6e9cfda, 0x0239f4ce, 0x48497187, + 0xa19adb95, 0xb492ed8a, 0x95aca6a8, 0x4dcd6cd9, 0xcf1b2350, 0xfbe8b12a, + 0x1a67778c, 0x38eb3acc, 0xc32da383, 0xfb126ab1, 0xa03f40a8, 0xed5bf546, + 0xe9ce4724, 0x4c4a74fd, 0x73a130d8, 0xd9960e2d, 0xa2ebd6c1, 0x94ab6feb, + 0x6f233b7c, 0x49126080, 0x8e7b9a73, 0x4b8c9091, 0xd298f999, 0x35e836b5, + 0xa96ddeff, 0x96119b31, 0x6b0dd9bc, 0xc6cc3f8d, 0x282566fb, 0x72b882e7, + 0xd6769f3b, 0xa674343d, 0x00fc509b, 0xdcbf7789, 0xd6266a3f, 0xae9641fd, + 0x4e89541b, 0x11953407, 0x53400d03, 0x8e0dd75a, 0xe5b53345, 0x108f19ad, + 0x108b89bc, 0x41a4c954, 0xe03b2b63, 0x437b3d7f, 0x97aced8e, 0xcbd66670, + 0x2c5508c2, 0x650ebc69, 0x5c4f2ef0, 0x904ff6bf, 0x9985a2df, 0x9faddd9e, + 0x5ed8d239, 0x25585832, 0xe3e51cb9, 0x0ff4f1d4, 0x56c02d9a, 0x8c4ef804, + 0xc1a08a13, 0x13fd01c8, 0xe6d27671, 0xa7c234f4, 0x9d0176cc, 0xd0d73df2, + 0x4d8bfa89, 0x544f10cd, 0x2b17e0b2, 0xb70a5c7d, 0xfd86fe49, 0xdf373f41, + 0x214495bb, 0x84e857fd, 0x00d313d5, 0x0496fcbe, 0xa4ba4744, 0xe8cac982, + 0xaec29e6e, 0x87ec7038, 0x7000a519, 0xaeee333b, 0xff66e42c, 0x8afd6b25, + 0x03b4f63b, 0xbd7991dc, 0x5ab8d9c7, 0x2ed4684e, 0x48741a6c, 0xaf06940d, + 0x2fdc6349, 0xb03d7ecd, 0xe974996f, 0xac7867f9, 0x52ec8721, 0xbcdd9d4a, + 0x8edd2d00, 0x3557de06, 0x41c759f8, 0x3956d4b9, 0xa75409f2, 0x123cd8a1, + 0xb6100fab, 0x3e7b21e2, 0x2e8d623b, 0x92959da2, 0xbca35f77, 0x200c03a5, + 0x35fcb457, 0x1bb6c6e4, 0xf74eb928, 0x3d5d0b54, 0x87cc1d21, 0x4964046f, + 0x18ae4240, 0xd868b275, 0x8bd2b496, 0x1c5563f4, 0xc234d8f5, 0xf868e970, + 0xf9151fff, 0xae7be4a2, 0x271133ee, 0xbb0fd922, 0x25254932, 0xa60a9fc0, + 0x104bcd64, 0x30290145, 0x00000062 +#endif /* !__NO_LONG_DOUBLE_MATH */ +}; + +#elif BITS_PER_MP_LIMB == 64 + +/* Table with constants of 10^(2^i), i=0..12 for 64-bit limbs. */ + +const mp_limb_t __tens[] = +{ +#define TENS_P0_IDX 0 +#define TENS_P0_SIZE 2 + [TENS_P0_IDX] = 0x0000000000000000ull, 0x000000000000000aull, + +#define TENS_P1_IDX (TENS_P0_IDX + TENS_P0_SIZE) +#define TENS_P1_SIZE 2 + [TENS_P1_IDX] = 0x0000000000000000ull, 0x0000000000000064ull, + +#define TENS_P2_IDX (TENS_P1_IDX + TENS_P1_SIZE) +#define TENS_P2_SIZE 2 + [TENS_P2_IDX] = 0x0000000000000000ull, 0x0000000000002710ull, + +#define TENS_P3_IDX (TENS_P2_IDX + TENS_P2_SIZE) +#define TENS_P3_SIZE 2 + [TENS_P3_IDX] = 0x0000000000000000ull, 0x0000000005f5e100ull, + +#define TENS_P4_IDX (TENS_P3_IDX + TENS_P3_SIZE) +#define TENS_P4_SIZE 2 + [TENS_P4_IDX] = 0x0000000000000000ull, 0x002386f26fc10000ull, + +#define TENS_P5_IDX (TENS_P4_IDX + TENS_P4_SIZE) +#define TENS_P5_SIZE 3 + [TENS_P5_IDX] = 0x0000000000000000ull, 0x85acef8100000000ull, + 0x000004ee2d6d415bull, + +#define TENS_P6_IDX (TENS_P5_IDX + TENS_P5_SIZE) +#define TENS_P6_SIZE 5 + [TENS_P6_IDX] = 0x0000000000000000ull, 0x0000000000000000ull, + 0x6e38ed64bf6a1f01ull, 0xe93ff9f4daa797edull, 0x0000000000184f03ull, + +#define TENS_P7_IDX (TENS_P6_IDX + TENS_P6_SIZE) +#define TENS_P7_SIZE 8 + [TENS_P7_IDX] = 0x0000000000000000ull, 0x0000000000000000ull, + 0x0000000000000000ull, 0x03df99092e953e01ull, 0x2374e42f0f1538fdull, + 0xc404dc08d3cff5ecull, 0xa6337f19bccdb0daull, 0x0000024ee91f2603ull, + +#define TENS_P8_IDX (TENS_P7_IDX + TENS_P7_SIZE) +#define TENS_P8_SIZE 15 + [TENS_P8_IDX] = 0x0000000000000000ull, 0x0000000000000000ull, + 0x0000000000000000ull, 0x0000000000000000ull, 0x0000000000000000ull, + 0xbed3875b982e7c01ull, 0x12152f87d8d99f72ull, 0xcf4a6e706bde50c6ull, + 0x26b2716ed595d80full, 0x1d153624adc666b0ull, 0x63ff540e3c42d35aull, + 0x65f9ef17cc5573c0ull, 0x80dcc7f755bc28f2ull, 0x5fdcefcef46eeddcull, + 0x00000000000553f7ull, +#if FLT128_MAX_EXP > 1024 +# define TENS_P9_IDX (TENS_P8_IDX + TENS_P8_SIZE) +# define TENS_P9_SIZE 28 + [TENS_P9_IDX] = 0x0000000000000000ull, 0x0000000000000000ull, + 0x0000000000000000ull, 0x0000000000000000ull, 0x0000000000000000ull, + 0x0000000000000000ull, 0x0000000000000000ull, 0x0000000000000000ull, + 0x0000000000000000ull, 0x77f27267fc6cf801ull, 0x5d96976f8f9546dcull, + 0xc31e1ad9b83a8a97ull, 0x94e6574746c40513ull, 0x4475b579c88976c1ull, + 0xaa1da1bf28f8733bull, 0x1e25cfea703ed321ull, 0xbc51fb2eb21a2f22ull, + 0xbfa3edac96e14f5dull, 0xe7fc7153329c57aeull, 0x85a91924c3fc0695ull, + 0xb2908ee0f95f635eull, 0x1366732a93abade4ull, 0x69be5b0e9449775cull, + 0xb099bc817343afacull, 0xa269974845a71d46ull, 0x8a0b1f138cb07303ull, + 0xc1d238d98cab8a97ull, 0x0000001c633415d4ull, + +# define TENS_P10_IDX (TENS_P9_IDX + TENS_P9_SIZE) +# define TENS_P10_SIZE 55 + [TENS_P10_IDX] = 0x0000000000000000ull, 0x0000000000000000ull, + 0x0000000000000000ull, 0x0000000000000000ull, 0x0000000000000000ull, + 0x0000000000000000ull, 0x0000000000000000ull, 0x0000000000000000ull, + 0x0000000000000000ull, 0x0000000000000000ull, 0x0000000000000000ull, + 0x0000000000000000ull, 0x0000000000000000ull, 0x0000000000000000ull, + 0x0000000000000000ull, 0x0000000000000000ull, 0x0000000000000000ull, + 0xf55b2b722919f001ull, 0x1ec29f866e7c215bull, 0x15c51a88991c4e87ull, + 0x4c7d1e1a140ac535ull, 0x0ed1440ecc2cd819ull, 0x7de16cfb896634eeull, + 0x9fce837d1e43f61full, 0x233e55c7231d2b9cull, 0xf451218b65dc60d7ull, + 0xc96359861c5cd134ull, 0xa7e89431922bbb9full, 0x62be695a9f9f2a07ull, + 0x045b7a748e1042c4ull, 0x8ad822a51abe1de3ull, 0xd814b505ba34c411ull, + 0x8fc51a16bf3fdeb3ull, 0xf56deeecb1b896bcull, 0xb6f4654b31fb6bfdull, + 0x6b7595fb101a3616ull, 0x80d98089dc1a47feull, 0x9a20288280bda5a5ull, + 0xfc8f1f9031eb0f66ull, 0xe26a7b7e976a3310ull, 0x3ce3a0b8df68368aull, + 0x75a351a28e4262ceull, 0x445975836cb0b6c9ull, 0xc356e38a31b5653full, + 0x0190fba035faaba6ull, 0x88bc491b9fc4ed52ull, 0x005b80411640114aull, + 0x1e8d4649f4f3235eull, 0x73c5534936a8de06ull, 0xc1a6970ca7e6bd2aull, + 0xd2db49ef47187094ull, 0xae6209d4926c3f5bull, 0x34f4a3c62d433949ull, + 0xd9d61a05d4305d94ull, 0x0000000000000325ull, + +# define TENS_P11_IDX (TENS_P10_IDX + TENS_P10_SIZE) +# define TENS_P11_SIZE 108 + [TENS_P11_IDX] = 0x0000000000000000ull, 0x0000000000000000ull, + 0x0000000000000000ull, 0x0000000000000000ull, 0x0000000000000000ull, + 0x0000000000000000ull, 0x0000000000000000ull, 0x0000000000000000ull, + 0x0000000000000000ull, 0x0000000000000000ull, 0x0000000000000000ull, + 0x0000000000000000ull, 0x0000000000000000ull, 0x0000000000000000ull, + 0x0000000000000000ull, 0x0000000000000000ull, 0x0000000000000000ull, + 0x0000000000000000ull, 0x0000000000000000ull, 0x0000000000000000ull, + 0x0000000000000000ull, 0x0000000000000000ull, 0x0000000000000000ull, + 0x0000000000000000ull, 0x0000000000000000ull, 0x0000000000000000ull, + 0x0000000000000000ull, 0x0000000000000000ull, 0x0000000000000000ull, + 0x0000000000000000ull, 0x0000000000000000ull, 0x0000000000000000ull, + 0x0000000000000000ull, 0xe30968651333e001ull, 0x49e28dcfb27d4d3full, + 0xee87e354ec2e4721ull, 0x368b8abbb6067584ull, 0x2ed56d55a5e5a191ull, + 0xea50d142fd827773ull, 0x98342c9e51b78db2ull, 0x866ed6f1c850dabcull, + 0x9279498719342c12ull, 0x66912e4ad2f869c2ull, 0x57a7842d71c7fd8full, + 0xfb7fedcc235552ebull, 0x38209ce1f3861ce0ull, 0x34c101349713b449ull, + 0xa7a8289c8c6c54deull, 0xe3cb64f32dbb6643ull, 0xe3892ee98074ff01ull, + 0xa8f16f9210c17f94ull, 0x967abbb3a8281ed6ull, 0x9952fbed5a151440ull, + 0xafe609c313b41e44ull, 0xf111821fa2bca416ull, 0x91bac974fb1264b4ull, + 0x8e48ff35d6c7d6abull, 0xc4a656654419bd43ull, 0x33554c36685e5510ull, + 0x0dbd21feab498697ull, 0x982da4663cfe491dull, 0x9e110c7bcbea4ca7ull, + 0x5fc5a04779c56b8aull, 0x1aa9f44484d80e2eull, 0x6a57b1ab730f203cull, + 0x87a7dc62d752f7a6ull, 0x40660460944545ffull, 0xc9ac375d77c1a42full, + 0x744695f0e866d7efull, 0xa1fc6b9681428c85ull, 0x7bf03c19d7917c7bull, + 0x5715f7915b33eb41ull, 0xdb0708fd8f6cae5full, 0x785ce6b7b125ac8eull, + 0x6f46eadb56c6815bull, 0x195355d84eeebeeeull, 0x9d7389c0a244de3cull, + 0xcf99d01953761abdull, 0x0d76ce39de9ec24bull, 0x2e55ecee70beb181ull, + 0xf56d9d4bd5f86079ull, 0x13ef5a83fb8886fbull, 0x3f3389a4408f43c5ull, + 0x58ccf45cfad37943ull, 0x415c7f3ef82df846ull, 0x8b3d5cf42915e818ull, + 0xf8dbb57a6a445f27ull, 0x8ad803ecca8f0070ull, 0x038f9245b2e87c34ull, + 0xc7c9dee0bedd8a6cull, 0x2ad3fa140eac7d56ull, 0xf775677ce0de0840ull, + 0x92be221ef1bd0ad5ull, 0xce9d04a487fa1fb9ull, 0x3f6f7024d2c36fa9ull, + 0x907855eeb028af62ull, 0x4efac5dcd83e49d6ull, 0x77cd8c6be7151aabull, + 0x0af908b40a753b7dull, 0xe50f30278c983623ull, 0x1d08e2d694222771ull, + 0xf2ee5ca6f7e928e6ull, 0x11eb962b1b61b93cull, 0xce2bcba19648b21cull, + 0x7bbebe3034f77154ull, 0x8ce329ace526a319ull, 0xb5dc53d5de4a74d2ull, + 0x000000000009e8b3ull, + +# define TENS_P12_IDX (TENS_P11_IDX + TENS_P11_SIZE) +# define TENS_P12_SIZE 214 + [TENS_P12_IDX] = 0x0000000000000000ull, 0x0000000000000000ull, + 0x0000000000000000ull, 0x0000000000000000ull, 0x0000000000000000ull, + 0x0000000000000000ull, 0x0000000000000000ull, 0x0000000000000000ull, + 0x0000000000000000ull, 0x0000000000000000ull, 0x0000000000000000ull, + 0x0000000000000000ull, 0x0000000000000000ull, 0x0000000000000000ull, + 0x0000000000000000ull, 0x0000000000000000ull, 0x0000000000000000ull, + 0x0000000000000000ull, 0x0000000000000000ull, 0x0000000000000000ull, + 0x0000000000000000ull, 0x0000000000000000ull, 0x0000000000000000ull, + 0x0000000000000000ull, 0x0000000000000000ull, 0x0000000000000000ull, + 0x0000000000000000ull, 0x0000000000000000ull, 0x0000000000000000ull, + 0x0000000000000000ull, 0x0000000000000000ull, 0x0000000000000000ull, + 0x0000000000000000ull, 0x0000000000000000ull, 0x0000000000000000ull, + 0x0000000000000000ull, 0x0000000000000000ull, 0x0000000000000000ull, + 0x0000000000000000ull, 0x0000000000000000ull, 0x0000000000000000ull, + 0x0000000000000000ull, 0x0000000000000000ull, 0x0000000000000000ull, + 0x0000000000000000ull, 0x0000000000000000ull, 0x0000000000000000ull, + 0x0000000000000000ull, 0x0000000000000000ull, 0x0000000000000000ull, + 0x0000000000000000ull, 0x0000000000000000ull, 0x0000000000000000ull, + 0x0000000000000000ull, 0x0000000000000000ull, 0x0000000000000000ull, + 0x0000000000000000ull, 0x0000000000000000ull, 0x0000000000000000ull, + 0x0000000000000000ull, 0x0000000000000000ull, 0x0000000000000000ull, + 0x0000000000000000ull, 0x0000000000000000ull, 0x0000000000000000ull, + 0xd4724e8d2a67c001ull, 0xf89a1e908efe7ae7ull, 0x54e05154ef084117ull, + 0x506be82913b1bb51ull, 0xe599574efb29b172ull, 0x806c0ed3f0da6146ull, + 0x45155e93b86ae5beull, 0x7e1e7c34c0591cc2ull, 0x1d1f4cce7c4823daull, + 0xd6bfdf759b8ba1e8ull, 0xc2dfae78e341be10ull, 0x0f237f1a016b67b2ull, + 0xaf6a25743dbeabcdull, 0x142e0e80cab3e6d7ull, 0x2c23481161959127ull, + 0xcb4bf98287009701ull, 0x88052f8cf8169c84ull, 0xbc13176168dde6d4ull, + 0x54ab9c41ff0b0905ull, 0x1a1c304e7613b224ull, 0x441c2d473bfe167bull, + 0x78f061814f6cea9cull, 0x30c7ae41eb659fb8ull, 0xa1ebcad7947e0d0eull, + 0x2130504dd97d9556ull, 0xf2acd5071a8309cbull, 0xfd82373a3f8ec72aull, + 0x280f4d3295a842bcull, 0x811a4f04f3618ac0ull, 0xd3967a1b6dc3a5b4ull, + 0xdcfe388f15b8c898ull, 0x8738b909454eb2a0ull, 0x2bd9cc1110c4e996ull, + 0x655fec303297cd0cull, 0xf4090ee8ae0725b1ull, 0x398c6fed037d19eeull, + 0xc994a4503b9af26bull, 0x75a697b2b5341743ull, 0x3ccb5b92ac50b9c1ull, + 0xa8329761ffe06205ull, 0xeb83cadbdfea5242ull, 0x3c20ee69e79dadf7ull, + 0x7021b97a1e0a6817ull, 0x176ca776743074faull, 0xeca19beb77fb8af6ull, + 0xaf63b71292baf1deull, 0xa4eb8f8cde35c88bull, 0x40b464a0e137d5e9ull, + 0x42923bbd87d1cde8ull, 0x2e2690f3cd8f62ffull, 0x59c89f1b095edc16ull, + 0x5138753d1fa8fd5dull, 0x80152f18390a2b29ull, 0xf984d83e2dd8d925ull, + 0xc19e1faf7a872e74ull, 0xecf9b5d0ed4d542dull, 0xc53c0adf9462ea75ull, + 0x37a2d4390caea134ull, 0x2181327ec8fa2e8aull, 0x2d2408206e7bb827ull, + 0x5893d4b850be10e0ull, 0x1f2b2322ab312bb9ull, 0xbf627ede440b3f25ull, + 0xb608b89572dac789ull, 0x86deb3f078787e2aull, 0xbb9373f46fee7aabull, + 0xf7d8b57e27ecf57bull, 0x3d04e8d2fca26a9full, 0x3172826ac9df13cbull, + 0xa8fcd8e0cd9e8d7cull, 0x307641d9b2c39497ull, 0x2608c4cf1cc939c1ull, + 0x3d326a7eb6d1c7bfull, 0x8e13e25feeaf19e6ull, 0x2dfe6d97ee63302bull, + 0xe41d3cc425971d58ull, 0xab8db59a0a80627cull, 0xe90afb779eea37c8ull, + 0x9ee3352c90ca19cfull, 0xfe78d6823613c850ull, 0x5b060904788f6e50ull, + 0x3fecb534b71bd1a4ull, 0x20c33857b32c450cull, 0x0239f4cea6e9cfdaull, + 0xa19adb9548497187ull, 0x95aca6a8b492ed8aull, 0xcf1b23504dcd6cd9ull, + 0x1a67778cfbe8b12aull, 0xc32da38338eb3accull, 0xa03f40a8fb126ab1ull, + 0xe9ce4724ed5bf546ull, 0x73a130d84c4a74fdull, 0xa2ebd6c1d9960e2dull, + 0x6f233b7c94ab6febull, 0x8e7b9a7349126080ull, 0xd298f9994b8c9091ull, + 0xa96ddeff35e836b5ull, 0x6b0dd9bc96119b31ull, 0x282566fbc6cc3f8dull, + 0xd6769f3b72b882e7ull, 0x00fc509ba674343dull, 0xd6266a3fdcbf7789ull, + 0x4e89541bae9641fdull, 0x53400d0311953407ull, 0xe5b533458e0dd75aull, + 0x108b89bc108f19adull, 0xe03b2b6341a4c954ull, 0x97aced8e437b3d7full, + 0x2c5508c2cbd66670ull, 0x5c4f2ef0650ebc69ull, 0x9985a2df904ff6bfull, + 0x5ed8d2399faddd9eull, 0xe3e51cb925585832ull, 0x56c02d9a0ff4f1d4ull, + 0xc1a08a138c4ef804ull, 0xe6d2767113fd01c8ull, 0x9d0176cca7c234f4ull, + 0x4d8bfa89d0d73df2ull, 0x2b17e0b2544f10cdull, 0xfd86fe49b70a5c7dull, + 0x214495bbdf373f41ull, 0x00d313d584e857fdull, 0xa4ba47440496fcbeull, + 0xaec29e6ee8cac982ull, 0x7000a51987ec7038ull, 0xff66e42caeee333bull, + 0x03b4f63b8afd6b25ull, 0x5ab8d9c7bd7991dcull, 0x48741a6c2ed4684eull, + 0x2fdc6349af06940dull, 0xe974996fb03d7ecdull, 0x52ec8721ac7867f9ull, + 0x8edd2d00bcdd9d4aull, 0x41c759f83557de06ull, 0xa75409f23956d4b9ull, + 0xb6100fab123cd8a1ull, 0x2e8d623b3e7b21e2ull, 0xbca35f7792959da2ull, + 0x35fcb457200c03a5ull, 0xf74eb9281bb6c6e4ull, 0x87cc1d213d5d0b54ull, + 0x18ae42404964046full, 0x8bd2b496d868b275ull, 0xc234d8f51c5563f4ull, + 0xf9151ffff868e970ull, 0x271133eeae7be4a2ull, 0x25254932bb0fd922ull, + 0x104bcd64a60a9fc0ull, 0x0000006230290145ull +#endif +}; + +#else +# error "mp_limb_t size " BITS_PER_MP_LIMB "not accounted for" +#endif + +/* Each of array variable above defines one mpn integer which is a power of 10. + This table points to those variables, indexed by the exponent. */ + +const struct mp_power _fpioconst_pow10[FLT128_MAX_10_EXP_LOG + 1] = +{ + { TENS_P0_IDX, TENS_P0_SIZE, 4, }, + { TENS_P1_IDX, TENS_P1_SIZE, 7, 4 }, + { TENS_P2_IDX, TENS_P2_SIZE, 14, 10 }, + { TENS_P3_IDX, TENS_P3_SIZE, 27, 24 }, + { TENS_P4_IDX, TENS_P4_SIZE, 54, 50 }, + { TENS_P5_IDX, TENS_P5_SIZE, 107, 103 }, + { TENS_P6_IDX, TENS_P6_SIZE, 213, 210 }, + { TENS_P7_IDX, TENS_P7_SIZE, 426, 422 }, + { TENS_P8_IDX, TENS_P8_SIZE, 851, 848 }, +#if FLT128_MAX_EXP > 1024 + { TENS_P9_IDX, TENS_P9_SIZE, 1701, 1698 }, + { TENS_P10_IDX, TENS_P10_SIZE, 3402, 3399 }, + { TENS_P11_IDX, TENS_P11_SIZE, 6804, 6800 }, + { TENS_P12_IDX, TENS_P12_SIZE, 13607, 13604 } +#endif +}; + +#if LAST_POW10 > _LAST_POW10 +# error "Need to expand 10^(2^i) table for i up to" LAST_POW10 +#endif diff --git a/libquadmath/printf/fpioconst.h b/libquadmath/printf/fpioconst.h new file mode 100644 index 000000000..418755547 --- /dev/null +++ b/libquadmath/printf/fpioconst.h @@ -0,0 +1,64 @@ +/* Header file for constants used in floating point <-> decimal conversions. + Copyright (C) 1995, 1996, 1997, 1998, 1999, 2002, 2003 + Free Software Foundation, Inc. + This file is part of the GNU C Library. + + The GNU C Library is free software; you can redistribute it and/or + modify it under the terms of the GNU Lesser General Public + License as published by the Free Software Foundation; either + version 2.1 of the License, or (at your option) any later version. + + The GNU C Library is distributed in the hope that it will be useful, + but WITHOUT ANY WARRANTY; without even the implied warranty of + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + Lesser General Public License for more details. + + You should have received a copy of the GNU Lesser General Public + License along with the GNU C Library; if not, write to the Free + Software Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA + 02111-1307 USA. */ + +#ifndef _FPIOCONST_H +#define _FPIOCONST_H + +#include <float.h> +#include <math.h> + + +/* These values are used by __printf_fp, where they are noncritical (if the + value is not large enough, it will just be slower); and by + strtof/strtod/strtold, where it is critical (it's used for overflow + detection). + + XXX These should be defined in <float.h>. For the time being, we have the + IEEE754 values here. */ + +#define FLT128_MAX_10_EXP_LOG 12 /* = floor(log_2(FLT128_MAX_10_EXP)) */ + + +/* The array with the number representation. */ +#define __tens __quadmath_tens +extern const mp_limb_t __tens[] attribute_hidden; + +/* Table of powers of ten. This is used by __printf_fp and by + strtof/strtod/strtold. */ +struct mp_power + { + size_t arrayoff; /* Offset in `__tens'. */ + mp_size_t arraysize; /* Size of the array. */ + int p_expo; /* Exponent of the number 10^(2^i). */ + int m_expo; /* Exponent of the number 10^-(2^i-1). */ + }; +#define _fpioconst_pow10 __quadmath_fpioconst_pow10 +extern const struct mp_power _fpioconst_pow10[FLT128_MAX_10_EXP_LOG + 1] + attribute_hidden; + +/* The constants in the array `_fpioconst_pow10' have an offset. */ +#if BITS_PER_MP_LIMB == 32 +# define _FPIO_CONST_OFFSET 2 +#else +# define _FPIO_CONST_OFFSET 1 +#endif + + +#endif /* fpioconst.h */ diff --git a/libquadmath/printf/gmp-impl.h b/libquadmath/printf/gmp-impl.h new file mode 100644 index 000000000..ca49e1966 --- /dev/null +++ b/libquadmath/printf/gmp-impl.h @@ -0,0 +1,181 @@ +/* Include file for internal GNU MP types and definitions. + +Copyright (C) 1991, 1993, 1994, 1995, 1996 Free Software Foundation, Inc. + +This file is part of the GNU MP Library. + +The GNU MP Library is free software; you can redistribute it and/or modify +it under the terms of the GNU Lesser General Public License as published by +the Free Software Foundation; either version 2.1 of the License, or (at your +option) any later version. + +The GNU MP Library is distributed in the hope that it will be useful, but +WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY +or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public +License for more details. + +You should have received a copy of the GNU Lesser General Public License +along with the GNU MP Library; see the file COPYING.LIB. If not, write to +the Free Software Foundation, Inc., 59 Temple Place - Suite 330, Boston, +MA 02111-1307, USA. */ + +#include <stdlib.h> +#include "quadmath-imp.h" + +#undef alloca +#define alloca __builtin_alloca + +#define ABS(x) (x >= 0 ? x : -x) +#ifndef MIN +#define MIN(l,o) ((l) < (o) ? (l) : (o)) +#endif +#ifndef MAX +#define MAX(h,i) ((h) > (i) ? (h) : (i)) +#endif + +#define BITS_PER_MP_LIMB (__SIZEOF_LONG__ * __CHAR_BIT__) +#define BYTES_PER_MP_LIMB (BITS_PER_MP_LIMB / __CHAR_BIT__) +typedef unsigned long int mp_limb_t; +typedef long int mp_limb_signed_t; + +typedef mp_limb_t * mp_ptr; +typedef const mp_limb_t * mp_srcptr; +typedef long int mp_size_t; +typedef long int mp_exp_t; + +/* Define stuff for longlong.h. */ +typedef unsigned int UQItype __attribute__ ((mode (QI))); +typedef int SItype __attribute__ ((mode (SI))); +typedef unsigned int USItype __attribute__ ((mode (SI))); +typedef int DItype __attribute__ ((mode (DI))); +typedef unsigned int UDItype __attribute__ ((mode (DI))); + +typedef mp_limb_t UWtype; +typedef unsigned int UHWtype; +#define W_TYPE_SIZE BITS_PER_MP_LIMB + +#ifdef HAVE_HIDDEN_VISIBILITY +#define attribute_hidden __attribute__((__visibility__ ("hidden"))) +#else +#define attribute_hidden +#endif + +#include "../../gcc/longlong.h" + +/* Copy NLIMBS *limbs* from SRC to DST. */ +#define MPN_COPY_INCR(DST, SRC, NLIMBS) \ + do { \ + mp_size_t __i; \ + for (__i = 0; __i < (NLIMBS); __i++) \ + (DST)[__i] = (SRC)[__i]; \ + } while (0) +#define MPN_COPY_DECR(DST, SRC, NLIMBS) \ + do { \ + mp_size_t __i; \ + for (__i = (NLIMBS) - 1; __i >= 0; __i--) \ + (DST)[__i] = (SRC)[__i]; \ + } while (0) +#define MPN_COPY MPN_COPY_INCR + +/* Zero NLIMBS *limbs* AT DST. */ +#define MPN_ZERO(DST, NLIMBS) \ + do { \ + mp_size_t __i; \ + for (__i = 0; __i < (NLIMBS); __i++) \ + (DST)[__i] = 0; \ + } while (0) + +#define MPN_MUL_N_RECURSE(prodp, up, vp, size, tspace) \ + do { \ + if ((size) < KARATSUBA_THRESHOLD) \ + impn_mul_n_basecase (prodp, up, vp, size); \ + else \ + impn_mul_n (prodp, up, vp, size, tspace); \ + } while (0); + +#define __MPN(x) __quadmath_mpn_##x + +/* Internal mpn calls */ +#define impn_mul_n_basecase __MPN(impn_mul_n_basecase) +#define impn_mul_n __MPN(impn_mul_n) + +/* Prototypes for internal mpn calls. */ +void impn_mul_n_basecase (mp_ptr prodp, mp_srcptr up, mp_srcptr vp, + mp_size_t size) attribute_hidden; +void impn_mul_n (mp_ptr prodp, mp_srcptr up, mp_srcptr vp, mp_size_t size, + mp_ptr tspace) attribute_hidden; + +#define mpn_add_n __MPN(add_n) +#define mpn_addmul_1 __MPN(addmul_1) +#define mpn_cmp __MPN(cmp) +#define mpn_divrem __MPN(divrem) +#define mpn_lshift __MPN(lshift) +#define mpn_mul __MPN(mul) +#define mpn_mul_1 __MPN(mul_1) +#define mpn_rshift __MPN(rshift) +#define mpn_sub_n __MPN(sub_n) +#define mpn_submul_1 __MPN(submul_1) + +mp_limb_t mpn_add_n (mp_ptr, mp_srcptr, mp_srcptr, mp_size_t) + attribute_hidden; +mp_limb_t mpn_addmul_1 (mp_ptr, mp_srcptr, mp_size_t, mp_limb_t) + attribute_hidden; +int mpn_cmp (mp_srcptr, mp_srcptr, mp_size_t) attribute_hidden; +mp_limb_t mpn_divrem (mp_ptr, mp_size_t, mp_ptr, mp_size_t, mp_srcptr, + mp_size_t) attribute_hidden; +mp_limb_t mpn_lshift (mp_ptr, mp_srcptr, mp_size_t, unsigned int) + attribute_hidden; +mp_limb_t mpn_mul (mp_ptr, mp_srcptr, mp_size_t, mp_srcptr, mp_size_t) + attribute_hidden; +mp_limb_t mpn_mul_1 (mp_ptr, mp_srcptr, mp_size_t, mp_limb_t) + attribute_hidden; +mp_limb_t mpn_rshift (mp_ptr, mp_srcptr, mp_size_t, unsigned int) + attribute_hidden; +mp_limb_t mpn_sub_n (mp_ptr, mp_srcptr, mp_srcptr, mp_size_t) + attribute_hidden; +mp_limb_t mpn_submul_1 (mp_ptr, mp_srcptr, mp_size_t, mp_limb_t) + attribute_hidden; + +#define mpn_extract_flt128 __MPN(extract_flt128) +mp_size_t mpn_extract_flt128 (mp_ptr res_ptr, mp_size_t size, int *expt, + int *is_neg, __float128 value) attribute_hidden; + +#define mpn_construct_float128 __MPN(construct_float128) +__float128 mpn_construct_float128 (mp_srcptr frac_ptr, int expt, int sign) + attribute_hidden; + +#define mpn_divmod(qp,np,nsize,dp,dsize) mpn_divrem (qp,0,np,nsize,dp,dsize) + +static inline mp_limb_t +mpn_add_1 (register mp_ptr res_ptr, + register mp_srcptr s1_ptr, + register mp_size_t s1_size, + register mp_limb_t s2_limb) +{ + register mp_limb_t x; + + x = *s1_ptr++; + s2_limb = x + s2_limb; + *res_ptr++ = s2_limb; + if (s2_limb < x) + { + while (--s1_size != 0) + { + x = *s1_ptr++ + 1; + *res_ptr++ = x; + if (x != 0) + goto fin; + } + + return 1; + } + + fin: + if (res_ptr != s1_ptr) + { + mp_size_t i; + for (i = 0; i < s1_size - 1; i++) + res_ptr[i] = s1_ptr[i]; + } + return 0; +} diff --git a/libquadmath/printf/lshift.c b/libquadmath/printf/lshift.c new file mode 100644 index 000000000..58aa8d464 --- /dev/null +++ b/libquadmath/printf/lshift.c @@ -0,0 +1,87 @@ +/* mpn_lshift -- Shift left low level. + +Copyright (C) 1991, 1993, 1994, 1996 Free Software Foundation, Inc. + +This file is part of the GNU MP Library. + +The GNU MP Library is free software; you can redistribute it and/or modify +it under the terms of the GNU Lesser General Public License as published by +the Free Software Foundation; either version 2.1 of the License, or (at your +option) any later version. + +The GNU MP Library is distributed in the hope that it will be useful, but +WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY +or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public +License for more details. + +You should have received a copy of the GNU Lesser General Public License +along with the GNU MP Library; see the file COPYING.LIB. If not, write to +the Free Software Foundation, Inc., 59 Temple Place - Suite 330, Boston, +MA 02111-1307, USA. */ + +#include <config.h> +#include "gmp-impl.h" + +/* Shift U (pointed to by UP and USIZE digits long) CNT bits to the left + and store the USIZE least significant digits of the result at WP. + Return the bits shifted out from the most significant digit. + + Argument constraints: + 1. 0 < CNT < BITS_PER_MP_LIMB + 2. If the result is to be written over the input, WP must be >= UP. +*/ + +mp_limb_t +#if __STDC__ +mpn_lshift (register mp_ptr wp, + register mp_srcptr up, mp_size_t usize, + register unsigned int cnt) +#else +mpn_lshift (wp, up, usize, cnt) + register mp_ptr wp; + register mp_srcptr up; + mp_size_t usize; + register unsigned int cnt; +#endif +{ + register mp_limb_t high_limb, low_limb; + register unsigned sh_1, sh_2; + register mp_size_t i; + mp_limb_t retval; + +#ifdef DEBUG + if (usize == 0 || cnt == 0) + abort (); +#endif + + sh_1 = cnt; +#if 0 + if (sh_1 == 0) + { + if (wp != up) + { + /* Copy from high end to low end, to allow specified input/output + overlapping. */ + for (i = usize - 1; i >= 0; i--) + wp[i] = up[i]; + } + return 0; + } +#endif + + wp += 1; + sh_2 = BITS_PER_MP_LIMB - sh_1; + i = usize - 1; + low_limb = up[i]; + retval = low_limb >> sh_2; + high_limb = low_limb; + while (--i >= 0) + { + low_limb = up[i]; + wp[i] = (high_limb << sh_1) | (low_limb >> sh_2); + high_limb = low_limb; + } + wp[i] = high_limb << sh_1; + + return retval; +} diff --git a/libquadmath/printf/mul.c b/libquadmath/printf/mul.c new file mode 100644 index 000000000..d31fa36fa --- /dev/null +++ b/libquadmath/printf/mul.c @@ -0,0 +1,148 @@ +/* mpn_mul -- Multiply two natural numbers. + +Copyright (C) 1991, 1993, 1994, 1996 Free Software Foundation, Inc. + +This file is part of the GNU MP Library. + +The GNU MP Library is free software; you can redistribute it and/or modify +it under the terms of the GNU Lesser General Public License as published by +the Free Software Foundation; either version 2.1 of the License, or (at your +option) any later version. + +The GNU MP Library is distributed in the hope that it will be useful, but +WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY +or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public +License for more details. + +You should have received a copy of the GNU Lesser General Public License +along with the GNU MP Library; see the file COPYING.LIB. If not, write to +the Free Software Foundation, Inc., 59 Temple Place - Suite 330, Boston, +MA 02111-1307, USA. */ + +#include <config.h> +#include "gmp-impl.h" + +/* Multiply the natural numbers u (pointed to by UP, with USIZE limbs) + and v (pointed to by VP, with VSIZE limbs), and store the result at + PRODP. USIZE + VSIZE limbs are always stored, but if the input + operands are normalized. Return the most significant limb of the + result. + + NOTE: The space pointed to by PRODP is overwritten before finished + with U and V, so overlap is an error. + + Argument constraints: + 1. USIZE >= VSIZE. + 2. PRODP != UP and PRODP != VP, i.e. the destination + must be distinct from the multiplier and the multiplicand. */ + +/* If KARATSUBA_THRESHOLD is not already defined, define it to a + value which is good on most machines. */ +#ifndef KARATSUBA_THRESHOLD +#define KARATSUBA_THRESHOLD 32 +#endif + +mp_limb_t +#if __STDC__ +mpn_mul (mp_ptr prodp, + mp_srcptr up, mp_size_t usize, + mp_srcptr vp, mp_size_t vsize) +#else +mpn_mul (prodp, up, usize, vp, vsize) + mp_ptr prodp; + mp_srcptr up; + mp_size_t usize; + mp_srcptr vp; + mp_size_t vsize; +#endif +{ + mp_ptr prod_endp = prodp + usize + vsize - 1; + mp_limb_t cy; + mp_ptr tspace; + + if (vsize < KARATSUBA_THRESHOLD) + { + /* Handle simple cases with traditional multiplication. + + This is the most critical code of the entire function. All + multiplies rely on this, both small and huge. Small ones arrive + here immediately. Huge ones arrive here as this is the base case + for Karatsuba's recursive algorithm below. */ + mp_size_t i; + mp_limb_t cy_limb; + mp_limb_t v_limb; + + if (vsize == 0) + return 0; + + /* Multiply by the first limb in V separately, as the result can be + stored (not added) to PROD. We also avoid a loop for zeroing. */ + v_limb = vp[0]; + if (v_limb <= 1) + { + if (v_limb == 1) + MPN_COPY (prodp, up, usize); + else + MPN_ZERO (prodp, usize); + cy_limb = 0; + } + else + cy_limb = mpn_mul_1 (prodp, up, usize, v_limb); + + prodp[usize] = cy_limb; + prodp++; + + /* For each iteration in the outer loop, multiply one limb from + U with one limb from V, and add it to PROD. */ + for (i = 1; i < vsize; i++) + { + v_limb = vp[i]; + if (v_limb <= 1) + { + cy_limb = 0; + if (v_limb == 1) + cy_limb = mpn_add_n (prodp, prodp, up, usize); + } + else + cy_limb = mpn_addmul_1 (prodp, up, usize, v_limb); + + prodp[usize] = cy_limb; + prodp++; + } + return cy_limb; + } + + tspace = (mp_ptr) alloca (2 * vsize * BYTES_PER_MP_LIMB); + MPN_MUL_N_RECURSE (prodp, up, vp, vsize, tspace); + + prodp += vsize; + up += vsize; + usize -= vsize; + if (usize >= vsize) + { + mp_ptr tp = (mp_ptr) alloca (2 * vsize * BYTES_PER_MP_LIMB); + do + { + MPN_MUL_N_RECURSE (tp, up, vp, vsize, tspace); + cy = mpn_add_n (prodp, prodp, tp, vsize); + mpn_add_1 (prodp + vsize, tp + vsize, vsize, cy); + prodp += vsize; + up += vsize; + usize -= vsize; + } + while (usize >= vsize); + } + + /* True: usize < vsize. */ + + /* Make life simple: Recurse. */ + + if (usize != 0) + { + mpn_mul (tspace, vp, vsize, up, usize); + cy = mpn_add_n (prodp, prodp, tspace, vsize); + mpn_add_1 (prodp + vsize, tspace + vsize, usize, cy); + } + + return *prod_endp; +} diff --git a/libquadmath/printf/mul_1.c b/libquadmath/printf/mul_1.c new file mode 100644 index 000000000..48a273f07 --- /dev/null +++ b/libquadmath/printf/mul_1.c @@ -0,0 +1,58 @@ +/* mpn_mul_1 -- Multiply a limb vector with a single limb and + store the product in a second limb vector. + +Copyright (C) 1991, 1992, 1993, 1994, 1996 Free Software Foundation, Inc. + +This file is part of the GNU MP Library. + +The GNU MP Library is free software; you can redistribute it and/or modify +it under the terms of the GNU Lesser General Public License as published by +the Free Software Foundation; either version 2.1 of the License, or (at your +option) any later version. + +The GNU MP Library is distributed in the hope that it will be useful, but +WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY +or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public +License for more details. + +You should have received a copy of the GNU Lesser General Public License +along with the GNU MP Library; see the file COPYING.LIB. If not, write to +the Free Software Foundation, Inc., 59 Temple Place - Suite 330, Boston, +MA 02111-1307, USA. */ + +#include <config.h> +#include "gmp-impl.h" + +mp_limb_t +mpn_mul_1 (res_ptr, s1_ptr, s1_size, s2_limb) + register mp_ptr res_ptr; + register mp_srcptr s1_ptr; + mp_size_t s1_size; + register mp_limb_t s2_limb; +{ + register mp_limb_t cy_limb; + register mp_size_t j; + register mp_limb_t prod_high, prod_low; + + /* The loop counter and index J goes from -S1_SIZE to -1. This way + the loop becomes faster. */ + j = -s1_size; + + /* Offset the base pointers to compensate for the negative indices. */ + s1_ptr -= j; + res_ptr -= j; + + cy_limb = 0; + do + { + umul_ppmm (prod_high, prod_low, s1_ptr[j], s2_limb); + + prod_low += cy_limb; + cy_limb = (prod_low < cy_limb) + prod_high; + + res_ptr[j] = prod_low; + } + while (++j != 0); + + return cy_limb; +} diff --git a/libquadmath/printf/mul_n.c b/libquadmath/printf/mul_n.c new file mode 100644 index 000000000..c4bc1bed2 --- /dev/null +++ b/libquadmath/printf/mul_n.c @@ -0,0 +1,220 @@ +/* mpn_mul_n -- Multiply two natural numbers of length n. + +Copyright (C) 1991, 1992, 1993, 1994, 1996 Free Software Foundation, Inc. + +This file is part of the GNU MP Library. + +The GNU MP Library is free software; you can redistribute it and/or modify +it under the terms of the GNU Lesser General Public License as published by +the Free Software Foundation; either version 2.1 of the License, or (at your +option) any later version. + +The GNU MP Library is distributed in the hope that it will be useful, but +WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY +or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public +License for more details. + +You should have received a copy of the GNU Lesser General Public License +along with the GNU MP Library; see the file COPYING.LIB. If not, write to +the Free Software Foundation, Inc., 59 Temple Place - Suite 330, Boston, +MA 02111-1307, USA. */ + +#include <config.h> +#include "gmp-impl.h" + +/* Multiply the natural numbers u (pointed to by UP) and v (pointed to by VP), + both with SIZE limbs, and store the result at PRODP. 2 * SIZE limbs are + always stored. Return the most significant limb. + + Argument constraints: + 1. PRODP != UP and PRODP != VP, i.e. the destination + must be distinct from the multiplier and the multiplicand. */ + +/* If KARATSUBA_THRESHOLD is not already defined, define it to a + value which is good on most machines. */ +#ifndef KARATSUBA_THRESHOLD +#define KARATSUBA_THRESHOLD 32 +#endif + +/* The code can't handle KARATSUBA_THRESHOLD smaller than 2. */ +#if KARATSUBA_THRESHOLD < 2 +#undef KARATSUBA_THRESHOLD +#define KARATSUBA_THRESHOLD 2 +#endif + +/* Handle simple cases with traditional multiplication. + + This is the most critical code of multiplication. All multiplies rely + on this, both small and huge. Small ones arrive here immediately. Huge + ones arrive here as this is the base case for Karatsuba's recursive + algorithm below. */ + +void +#if __STDC__ +impn_mul_n_basecase (mp_ptr prodp, mp_srcptr up, mp_srcptr vp, mp_size_t size) +#else +impn_mul_n_basecase (prodp, up, vp, size) + mp_ptr prodp; + mp_srcptr up; + mp_srcptr vp; + mp_size_t size; +#endif +{ + mp_size_t i; + mp_limb_t cy_limb; + mp_limb_t v_limb; + + /* Multiply by the first limb in V separately, as the result can be + stored (not added) to PROD. We also avoid a loop for zeroing. */ + v_limb = vp[0]; + if (v_limb <= 1) + { + if (v_limb == 1) + MPN_COPY (prodp, up, size); + else + MPN_ZERO (prodp, size); + cy_limb = 0; + } + else + cy_limb = mpn_mul_1 (prodp, up, size, v_limb); + + prodp[size] = cy_limb; + prodp++; + + /* For each iteration in the outer loop, multiply one limb from + U with one limb from V, and add it to PROD. */ + for (i = 1; i < size; i++) + { + v_limb = vp[i]; + if (v_limb <= 1) + { + cy_limb = 0; + if (v_limb == 1) + cy_limb = mpn_add_n (prodp, prodp, up, size); + } + else + cy_limb = mpn_addmul_1 (prodp, up, size, v_limb); + + prodp[size] = cy_limb; + prodp++; + } +} + +void +#if __STDC__ +impn_mul_n (mp_ptr prodp, + mp_srcptr up, mp_srcptr vp, mp_size_t size, mp_ptr tspace) +#else +impn_mul_n (prodp, up, vp, size, tspace) + mp_ptr prodp; + mp_srcptr up; + mp_srcptr vp; + mp_size_t size; + mp_ptr tspace; +#endif +{ + if ((size & 1) != 0) + { + /* The size is odd, the code code below doesn't handle that. + Multiply the least significant (size - 1) limbs with a recursive + call, and handle the most significant limb of S1 and S2 + separately. */ + /* A slightly faster way to do this would be to make the Karatsuba + code below behave as if the size were even, and let it check for + odd size in the end. I.e., in essence move this code to the end. + Doing so would save us a recursive call, and potentially make the + stack grow a lot less. */ + + mp_size_t esize = size - 1; /* even size */ + mp_limb_t cy_limb; + + MPN_MUL_N_RECURSE (prodp, up, vp, esize, tspace); + cy_limb = mpn_addmul_1 (prodp + esize, up, esize, vp[esize]); + prodp[esize + esize] = cy_limb; + cy_limb = mpn_addmul_1 (prodp + esize, vp, size, up[esize]); + + prodp[esize + size] = cy_limb; + } + else + { + /* Anatolij Alekseevich Karatsuba's divide-and-conquer algorithm. + + Split U in two pieces, U1 and U0, such that + U = U0 + U1*(B**n), + and V in V1 and V0, such that + V = V0 + V1*(B**n). + + UV is then computed recursively using the identity + + 2n n n n + UV = (B + B )U V + B (U -U )(V -V ) + (B + 1)U V + 1 1 1 0 0 1 0 0 + + Where B = 2**BITS_PER_MP_LIMB. */ + + mp_size_t hsize = size >> 1; + mp_limb_t cy; + int negflg; + + /*** Product H. ________________ ________________ + |_____U1 x V1____||____U0 x V0_____| */ + /* Put result in upper part of PROD and pass low part of TSPACE + as new TSPACE. */ + MPN_MUL_N_RECURSE (prodp + size, up + hsize, vp + hsize, hsize, tspace); + + /*** Product M. ________________ + |_(U1-U0)(V0-V1)_| */ + if (mpn_cmp (up + hsize, up, hsize) >= 0) + { + mpn_sub_n (prodp, up + hsize, up, hsize); + negflg = 0; + } + else + { + mpn_sub_n (prodp, up, up + hsize, hsize); + negflg = 1; + } + if (mpn_cmp (vp + hsize, vp, hsize) >= 0) + { + mpn_sub_n (prodp + hsize, vp + hsize, vp, hsize); + negflg ^= 1; + } + else + { + mpn_sub_n (prodp + hsize, vp, vp + hsize, hsize); + /* No change of NEGFLG. */ + } + /* Read temporary operands from low part of PROD. + Put result in low part of TSPACE using upper part of TSPACE + as new TSPACE. */ + MPN_MUL_N_RECURSE (tspace, prodp, prodp + hsize, hsize, tspace + size); + + /*** Add/copy product H. */ + MPN_COPY (prodp + hsize, prodp + size, hsize); + cy = mpn_add_n (prodp + size, prodp + size, prodp + size + hsize, hsize); + + /*** Add product M (if NEGFLG M is a negative number). */ + if (negflg) + cy -= mpn_sub_n (prodp + hsize, prodp + hsize, tspace, size); + else + cy += mpn_add_n (prodp + hsize, prodp + hsize, tspace, size); + + /*** Product L. ________________ ________________ + |________________||____U0 x V0_____| */ + /* Read temporary operands from low part of PROD. + Put result in low part of TSPACE using upper part of TSPACE + as new TSPACE. */ + MPN_MUL_N_RECURSE (tspace, up, vp, hsize, tspace + size); + + /*** Add/copy Product L (twice). */ + + cy += mpn_add_n (prodp + hsize, prodp + hsize, tspace, size); + if (cy) + mpn_add_1 (prodp + hsize + size, prodp + hsize + size, hsize, cy); + + MPN_COPY (prodp, tspace, hsize); + cy = mpn_add_n (prodp + hsize, prodp + hsize, tspace + hsize, hsize); + if (cy) + mpn_add_1 (prodp + size, prodp + size, size, 1); + } +} diff --git a/libquadmath/printf/printf_fp.c b/libquadmath/printf/printf_fp.c new file mode 100644 index 000000000..eb663726d --- /dev/null +++ b/libquadmath/printf/printf_fp.c @@ -0,0 +1,1306 @@ +/* Floating point output for `printf'. + Copyright (C) 1995-2003, 2006-2008, 2011 Free Software Foundation, Inc. + + This file is part of the GNU C Library. + Written by Ulrich Drepper <drepper@gnu.ai.mit.edu>, 1995. + + The GNU C Library is free software; you can redistribute it and/or + modify it under the terms of the GNU Lesser General Public + License as published by the Free Software Foundation; either + version 2.1 of the License, or (at your option) any later version. + + The GNU C Library is distributed in the hope that it will be useful, + but WITHOUT ANY WARRANTY; without even the implied warranty of + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + Lesser General Public License for more details. + + You should have received a copy of the GNU Lesser General Public + License along with the GNU C Library; if not, write to the Free + Software Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA + 02111-1307 USA. */ + +#include <config.h> +#include <float.h> +#include <math.h> +#include <string.h> +#include <unistd.h> +#include <stdlib.h> +#define NDEBUG +#include <assert.h> +#ifdef HAVE_ERRNO_H +#include <errno.h> +#endif +#include <stdio.h> +#include <stdarg.h> +#include "quadmath-printf.h" +#include "fpioconst.h" + +#ifdef USE_I18N_NUMBER_H +#include "_i18n_number.h" +#endif + + +/* Macros for doing the actual output. */ + +#define outchar(ch) \ + do \ + { \ + register const int outc = (ch); \ + if (PUTC (outc, fp) == EOF) \ + { \ + if (buffer_malloced) \ + free (wbuffer); \ + return -1; \ + } \ + ++done; \ + } while (0) + +#define PRINT(ptr, wptr, len) \ + do \ + { \ + register size_t outlen = (len); \ + if (len > 20) \ + { \ + if (PUT (fp, wide ? (const char *) wptr : ptr, outlen) != outlen) \ + { \ + if (buffer_malloced) \ + free (wbuffer); \ + return -1; \ + } \ + ptr += outlen; \ + done += outlen; \ + } \ + else \ + { \ + if (wide) \ + while (outlen-- > 0) \ + outchar (*wptr++); \ + else \ + while (outlen-- > 0) \ + outchar (*ptr++); \ + } \ + } while (0) + +#define PADN(ch, len) \ + do \ + { \ + if (PAD (fp, ch, len) != len) \ + { \ + if (buffer_malloced) \ + free (wbuffer); \ + return -1; \ + } \ + done += len; \ + } \ + while (0) + + +/* We use the GNU MP library to handle large numbers. + + An MP variable occupies a varying number of entries in its array. We keep + track of this number for efficiency reasons. Otherwise we would always + have to process the whole array. */ +#define MPN_VAR(name) mp_limb_t *name; mp_size_t name##size + +#define MPN_ASSIGN(dst,src) \ + memcpy (dst, src, (dst##size = src##size) * sizeof (mp_limb_t)) +#define MPN_GE(u,v) \ + (u##size > v##size || (u##size == v##size && mpn_cmp (u, v, u##size) >= 0)) + +extern mp_size_t mpn_extract_flt128 (mp_ptr res_ptr, mp_size_t size, + int *expt, int *is_neg, + __float128 value) attribute_hidden; +static unsigned int guess_grouping (unsigned int intdig_max, + const char *grouping); + + +static wchar_t *group_number (wchar_t *buf, wchar_t *bufend, + unsigned int intdig_no, const char *grouping, + wchar_t thousands_sep, int ngroups); + + +int +__quadmath_printf_fp (struct __quadmath_printf_file *fp, + const struct printf_info *info, + const void *const *args) +{ + /* The floating-point value to output. */ + __float128 fpnum; + + /* Locale-dependent representation of decimal point. */ + const char *decimal; + wchar_t decimalwc; + + /* Locale-dependent thousands separator and grouping specification. */ + const char *thousands_sep = NULL; + wchar_t thousands_sepwc = L_('\0'); + const char *grouping; + + /* "NaN" or "Inf" for the special cases. */ + const char *special = NULL; + const wchar_t *wspecial = NULL; + + /* We need just a few limbs for the input before shifting to the right + position. */ + mp_limb_t fp_input[(FLT128_MANT_DIG + BITS_PER_MP_LIMB - 1) / BITS_PER_MP_LIMB]; + /* We need to shift the contents of fp_input by this amount of bits. */ + int to_shift = 0; + + /* The fraction of the floting-point value in question */ + MPN_VAR(frac); + /* and the exponent. */ + int exponent; + /* Sign of the exponent. */ + int expsign = 0; + /* Sign of float number. */ + int is_neg = 0; + + /* Scaling factor. */ + MPN_VAR(scale); + + /* Temporary bignum value. */ + MPN_VAR(tmp); + + /* Digit which is result of last hack_digit() call. */ + wchar_t digit; + + /* The type of output format that will be used: 'e'/'E' or 'f'. */ + int type; + + /* Counter for number of written characters. */ + int done = 0; + + /* General helper (carry limb). */ + mp_limb_t cy; + + /* Nonzero if this is output on a wide character stream. */ + int wide = info->wide; + + /* Buffer in which we produce the output. */ + wchar_t *wbuffer = NULL; + /* Flag whether wbuffer is malloc'ed or not. */ + int buffer_malloced = 0; + + auto wchar_t hack_digit (void); + + wchar_t hack_digit (void) + { + mp_limb_t hi; + + if (expsign != 0 && type == 'f' && exponent-- > 0) + hi = 0; + else if (scalesize == 0) + { + hi = frac[fracsize - 1]; + frac[fracsize - 1] = mpn_mul_1 (frac, frac, fracsize - 1, 10); + } + else + { + if (fracsize < scalesize) + hi = 0; + else + { + hi = mpn_divmod (tmp, frac, fracsize, scale, scalesize); + tmp[fracsize - scalesize] = hi; + hi = tmp[0]; + + fracsize = scalesize; + while (fracsize != 0 && frac[fracsize - 1] == 0) + --fracsize; + if (fracsize == 0) + { + /* We're not prepared for an mpn variable with zero + limbs. */ + fracsize = 1; + return L_('0') + hi; + } + } + + mp_limb_t _cy = mpn_mul_1 (frac, frac, fracsize, 10); + if (_cy != 0) + frac[fracsize++] = _cy; + } + + return L_('0') + hi; + } + + /* Figure out the decimal point character. */ +#ifdef USE_NL_LANGINFO + if (info->extra == 0) + decimal = nl_langinfo (DECIMAL_POINT); + else + { + decimal = nl_langinfo (MON_DECIMAL_POINT); + if (*decimal == '\0') + decimal = nl_langinfo (DECIMAL_POINT); + } + /* The decimal point character must never be zero. */ + assert (*decimal != '\0'); +#elif defined USE_LOCALECONV + const struct lconv *lc = localeconv (); + if (info->extra == 0) + decimal = lc->decimal_point; + else + { + decimal = lc->mon_decimal_point; + if (decimal == NULL || *decimal == '\0') + decimal = lc->decimal_point; + } + if (decimal == NULL || *decimal == '\0') + decimal = "."; +#else + decimal = "."; +#endif +#ifdef USE_NL_LANGINFO_WC + if (info->extra == 0) + decimalwc = nl_langinfo_wc (_NL_NUMERIC_DECIMAL_POINT_WC); + else + { + decimalwc = nl_langinfo_wc (_NL_MONETARY_DECIMAL_POINT_WC); + if (decimalwc == L_('\0')) + decimalwc = nl_langinfo_wc (_NL_NUMERIC_DECIMAL_POINT_WC); + } + /* The decimal point character must never be zero. */ + assert (decimalwc != L_('\0')); +#else + decimalwc = L_('.'); +#endif + +#if defined USE_NL_LANGINFO && defined USE_NL_LANGINFO_WC + if (info->group) + { + if (info->extra == 0) + grouping = nl_langinfo (GROUPING); + else + grouping = nl_langinfo (MON_GROUPING); + + if (*grouping <= 0 || *grouping == CHAR_MAX) + grouping = NULL; + else + { + /* Figure out the thousands separator character. */ + if (wide) + { + if (info->extra == 0) + thousands_sepwc = nl_langinfo_wc (_NL_NUMERIC_THOUSANDS_SEP_WC); + else + thousands_sepwc = nl_langinfo_wc (_NL_MONETARY_THOUSANDS_SEP_WC); + + if (thousands_sepwc == L_('\0')) + grouping = NULL; + } + else + { + if (info->extra == 0) + thousands_sep = nl_langinfo (THOUSANDS_SEP); + else + thousands_sep = nl_langinfo (MON_THOUSANDS_SEP); + if (*thousands_sep == '\0') + grouping = NULL; + } + } + } + else +#elif defined USE_NL_LANGINFO + if (info->group && !wide) + { + if (info->extra == 0) + grouping = nl_langinfo (GROUPING); + else + grouping = nl_langinfo (MON_GROUPING); + + if (*grouping <= 0 || *grouping == CHAR_MAX) + grouping = NULL; + else + { + /* Figure out the thousands separator character. */ + if (info->extra == 0) + thousands_sep = nl_langinfo (THOUSANDS_SEP); + else + thousands_sep = nl_langinfo (MON_THOUSANDS_SEP); + + if (*thousands_sep == '\0') + grouping = NULL; + } + } + else +#elif defined USE_LOCALECONV + if (info->group && !wide) + { + if (info->extra == 0) + grouping = lc->grouping; + else + grouping = lc->mon_grouping; + + if (grouping == NULL || *grouping <= 0 || *grouping == CHAR_MAX) + grouping = NULL; + else + { + /* Figure out the thousands separator character. */ + if (info->extra == 0) + thousands_sep = lc->thousands_sep; + else + thousands_sep = lc->mon_thousands_sep; + + if (thousands_sep == NULL || *thousands_sep == '\0') + grouping = NULL; + } + } + else +#endif + grouping = NULL; + if (grouping != NULL && !wide) + /* If we are printing multibyte characters and there is a + multibyte representation for the thousands separator, + we must ensure the wide character thousands separator + is available, even if it is fake. */ + thousands_sepwc = (wchar_t) 0xfffffffe; + + /* Fetch the argument value. */ + { + fpnum = **(const __float128 **) args[0]; + + /* Check for special values: not a number or infinity. */ + if (isnanq (fpnum)) + { + ieee854_float128 u = { .value = fpnum }; + is_neg = u.ieee.negative != 0; + if (isupper (info->spec)) + { + special = "NAN"; + wspecial = L_("NAN"); + } + else + { + special = "nan"; + wspecial = L_("nan"); + } + } + else if (isinfq (fpnum)) + { + is_neg = fpnum < 0; + if (isupper (info->spec)) + { + special = "INF"; + wspecial = L_("INF"); + } + else + { + special = "inf"; + wspecial = L_("inf"); + } + } + else + { + fracsize = mpn_extract_flt128 (fp_input, + (sizeof (fp_input) / + sizeof (fp_input[0])), + &exponent, &is_neg, fpnum); + to_shift = 1 + fracsize * BITS_PER_MP_LIMB - FLT128_MANT_DIG; + } + } + + if (special) + { + int width = info->width; + + if (is_neg || info->showsign || info->space) + --width; + width -= 3; + + if (!info->left && width > 0) + PADN (' ', width); + + if (is_neg) + outchar ('-'); + else if (info->showsign) + outchar ('+'); + else if (info->space) + outchar (' '); + + PRINT (special, wspecial, 3); + + if (info->left && width > 0) + PADN (' ', width); + + return done; + } + + + /* We need three multiprecision variables. Now that we have the exponent + of the number we can allocate the needed memory. It would be more + efficient to use variables of the fixed maximum size but because this + would be really big it could lead to memory problems. */ + { + mp_size_t bignum_size = ((ABS (exponent) + BITS_PER_MP_LIMB - 1) + / BITS_PER_MP_LIMB + + (FLT128_MANT_DIG / BITS_PER_MP_LIMB > 2 ? 8 : 4)) + * sizeof (mp_limb_t); + frac = (mp_limb_t *) alloca (bignum_size); + tmp = (mp_limb_t *) alloca (bignum_size); + scale = (mp_limb_t *) alloca (bignum_size); + } + + /* We now have to distinguish between numbers with positive and negative + exponents because the method used for the one is not applicable/efficient + for the other. */ + scalesize = 0; + if (exponent > 2) + { + /* |FP| >= 8.0. */ + int scaleexpo = 0; + int explog = FLT128_MAX_10_EXP_LOG; + int exp10 = 0; + const struct mp_power *powers = &_fpioconst_pow10[explog + 1]; + int cnt_h, cnt_l, i; + + if ((exponent + to_shift) % BITS_PER_MP_LIMB == 0) + { + MPN_COPY_DECR (frac + (exponent + to_shift) / BITS_PER_MP_LIMB, + fp_input, fracsize); + fracsize += (exponent + to_shift) / BITS_PER_MP_LIMB; + } + else + { + cy = mpn_lshift (frac + (exponent + to_shift) / BITS_PER_MP_LIMB, + fp_input, fracsize, + (exponent + to_shift) % BITS_PER_MP_LIMB); + fracsize += (exponent + to_shift) / BITS_PER_MP_LIMB; + if (cy) + frac[fracsize++] = cy; + } + MPN_ZERO (frac, (exponent + to_shift) / BITS_PER_MP_LIMB); + + assert (powers > &_fpioconst_pow10[0]); + do + { + --powers; + + /* The number of the product of two binary numbers with n and m + bits respectively has m+n or m+n-1 bits. */ + if (exponent >= scaleexpo + powers->p_expo - 1) + { + if (scalesize == 0) + { + if (FLT128_MANT_DIG > _FPIO_CONST_OFFSET * BITS_PER_MP_LIMB) + { +#define _FPIO_CONST_SHIFT \ + (((FLT128_MANT_DIG + BITS_PER_MP_LIMB - 1) / BITS_PER_MP_LIMB) \ + - _FPIO_CONST_OFFSET) + /* 64bit const offset is not enough for + IEEE quad long double. */ + tmpsize = powers->arraysize + _FPIO_CONST_SHIFT; + memcpy (tmp + _FPIO_CONST_SHIFT, + &__tens[powers->arrayoff], + tmpsize * sizeof (mp_limb_t)); + MPN_ZERO (tmp, _FPIO_CONST_SHIFT); + /* Adjust exponent, as scaleexpo will be this much + bigger too. */ + exponent += _FPIO_CONST_SHIFT * BITS_PER_MP_LIMB; + } + else + { + tmpsize = powers->arraysize; + memcpy (tmp, &__tens[powers->arrayoff], + tmpsize * sizeof (mp_limb_t)); + } + } + else + { + cy = mpn_mul (tmp, scale, scalesize, + &__tens[powers->arrayoff + + _FPIO_CONST_OFFSET], + powers->arraysize - _FPIO_CONST_OFFSET); + tmpsize = scalesize + powers->arraysize - _FPIO_CONST_OFFSET; + if (cy == 0) + --tmpsize; + } + + if (MPN_GE (frac, tmp)) + { + int cnt; + MPN_ASSIGN (scale, tmp); + count_leading_zeros (cnt, scale[scalesize - 1]); + scaleexpo = (scalesize - 2) * BITS_PER_MP_LIMB - cnt - 1; + exp10 |= 1 << explog; + } + } + --explog; + } + while (powers > &_fpioconst_pow10[0]); + exponent = exp10; + + /* Optimize number representations. We want to represent the numbers + with the lowest number of bytes possible without losing any + bytes. Also the highest bit in the scaling factor has to be set + (this is a requirement of the MPN division routines). */ + if (scalesize > 0) + { + /* Determine minimum number of zero bits at the end of + both numbers. */ + for (i = 0; scale[i] == 0 && frac[i] == 0; i++) + ; + + /* Determine number of bits the scaling factor is misplaced. */ + count_leading_zeros (cnt_h, scale[scalesize - 1]); + + if (cnt_h == 0) + { + /* The highest bit of the scaling factor is already set. So + we only have to remove the trailing empty limbs. */ + if (i > 0) + { + MPN_COPY_INCR (scale, scale + i, scalesize - i); + scalesize -= i; + MPN_COPY_INCR (frac, frac + i, fracsize - i); + fracsize -= i; + } + } + else + { + if (scale[i] != 0) + { + count_trailing_zeros (cnt_l, scale[i]); + if (frac[i] != 0) + { + int cnt_l2; + count_trailing_zeros (cnt_l2, frac[i]); + if (cnt_l2 < cnt_l) + cnt_l = cnt_l2; + } + } + else + count_trailing_zeros (cnt_l, frac[i]); + + /* Now shift the numbers to their optimal position. */ + if (i == 0 && BITS_PER_MP_LIMB - cnt_h > cnt_l) + { + /* We cannot save any memory. So just roll both numbers + so that the scaling factor has its highest bit set. */ + + (void) mpn_lshift (scale, scale, scalesize, cnt_h); + cy = mpn_lshift (frac, frac, fracsize, cnt_h); + if (cy != 0) + frac[fracsize++] = cy; + } + else if (BITS_PER_MP_LIMB - cnt_h <= cnt_l) + { + /* We can save memory by removing the trailing zero limbs + and by packing the non-zero limbs which gain another + free one. */ + + (void) mpn_rshift (scale, scale + i, scalesize - i, + BITS_PER_MP_LIMB - cnt_h); + scalesize -= i + 1; + (void) mpn_rshift (frac, frac + i, fracsize - i, + BITS_PER_MP_LIMB - cnt_h); + fracsize -= frac[fracsize - i - 1] == 0 ? i + 1 : i; + } + else + { + /* We can only save the memory of the limbs which are zero. + The non-zero parts occupy the same number of limbs. */ + + (void) mpn_rshift (scale, scale + (i - 1), + scalesize - (i - 1), + BITS_PER_MP_LIMB - cnt_h); + scalesize -= i; + (void) mpn_rshift (frac, frac + (i - 1), + fracsize - (i - 1), + BITS_PER_MP_LIMB - cnt_h); + fracsize -= frac[fracsize - (i - 1) - 1] == 0 ? i : i - 1; + } + } + } + } + else if (exponent < 0) + { + /* |FP| < 1.0. */ + int exp10 = 0; + int explog = FLT128_MAX_10_EXP_LOG; + const struct mp_power *powers = &_fpioconst_pow10[explog + 1]; + + /* Now shift the input value to its right place. */ + cy = mpn_lshift (frac, fp_input, fracsize, to_shift); + frac[fracsize++] = cy; + assert (cy == 1 || (frac[fracsize - 2] == 0 && frac[0] == 0)); + + expsign = 1; + exponent = -exponent; + + assert (powers != &_fpioconst_pow10[0]); + do + { + --powers; + + if (exponent >= powers->m_expo) + { + int i, incr, cnt_h, cnt_l; + mp_limb_t topval[2]; + + /* The mpn_mul function expects the first argument to be + bigger than the second. */ + if (fracsize < powers->arraysize - _FPIO_CONST_OFFSET) + cy = mpn_mul (tmp, &__tens[powers->arrayoff + + _FPIO_CONST_OFFSET], + powers->arraysize - _FPIO_CONST_OFFSET, + frac, fracsize); + else + cy = mpn_mul (tmp, frac, fracsize, + &__tens[powers->arrayoff + _FPIO_CONST_OFFSET], + powers->arraysize - _FPIO_CONST_OFFSET); + tmpsize = fracsize + powers->arraysize - _FPIO_CONST_OFFSET; + if (cy == 0) + --tmpsize; + + count_leading_zeros (cnt_h, tmp[tmpsize - 1]); + incr = (tmpsize - fracsize) * BITS_PER_MP_LIMB + + BITS_PER_MP_LIMB - 1 - cnt_h; + + assert (incr <= powers->p_expo); + + /* If we increased the exponent by exactly 3 we have to test + for overflow. This is done by comparing with 10 shifted + to the right position. */ + if (incr == exponent + 3) + { + if (cnt_h <= BITS_PER_MP_LIMB - 4) + { + topval[0] = 0; + topval[1] + = ((mp_limb_t) 10) << (BITS_PER_MP_LIMB - 4 - cnt_h); + } + else + { + topval[0] = ((mp_limb_t) 10) << (BITS_PER_MP_LIMB - 4); + topval[1] = 0; + (void) mpn_lshift (topval, topval, 2, + BITS_PER_MP_LIMB - cnt_h); + } + } + + /* We have to be careful when multiplying the last factor. + If the result is greater than 1.0 be have to test it + against 10.0. If it is greater or equal to 10.0 the + multiplication was not valid. This is because we cannot + determine the number of bits in the result in advance. */ + if (incr < exponent + 3 + || (incr == exponent + 3 && + (tmp[tmpsize - 1] < topval[1] + || (tmp[tmpsize - 1] == topval[1] + && tmp[tmpsize - 2] < topval[0])))) + { + /* The factor is right. Adapt binary and decimal + exponents. */ + exponent -= incr; + exp10 |= 1 << explog; + + /* If this factor yields a number greater or equal to + 1.0, we must not shift the non-fractional digits down. */ + if (exponent < 0) + cnt_h += -exponent; + + /* Now we optimize the number representation. */ + for (i = 0; tmp[i] == 0; ++i); + if (cnt_h == BITS_PER_MP_LIMB - 1) + { + MPN_COPY (frac, tmp + i, tmpsize - i); + fracsize = tmpsize - i; + } + else + { + count_trailing_zeros (cnt_l, tmp[i]); + + /* Now shift the numbers to their optimal position. */ + if (i == 0 && BITS_PER_MP_LIMB - 1 - cnt_h > cnt_l) + { + /* We cannot save any memory. Just roll the + number so that the leading digit is in a + separate limb. */ + + cy = mpn_lshift (frac, tmp, tmpsize, cnt_h + 1); + fracsize = tmpsize + 1; + frac[fracsize - 1] = cy; + } + else if (BITS_PER_MP_LIMB - 1 - cnt_h <= cnt_l) + { + (void) mpn_rshift (frac, tmp + i, tmpsize - i, + BITS_PER_MP_LIMB - 1 - cnt_h); + fracsize = tmpsize - i; + } + else + { + /* We can only save the memory of the limbs which + are zero. The non-zero parts occupy the same + number of limbs. */ + + (void) mpn_rshift (frac, tmp + (i - 1), + tmpsize - (i - 1), + BITS_PER_MP_LIMB - 1 - cnt_h); + fracsize = tmpsize - (i - 1); + } + } + } + } + --explog; + } + while (powers != &_fpioconst_pow10[1] && exponent > 0); + /* All factors but 10^-1 are tested now. */ + if (exponent > 0) + { + int cnt_l; + + cy = mpn_mul_1 (tmp, frac, fracsize, 10); + tmpsize = fracsize; + assert (cy == 0 || tmp[tmpsize - 1] < 20); + + count_trailing_zeros (cnt_l, tmp[0]); + if (cnt_l < MIN (4, exponent)) + { + cy = mpn_lshift (frac, tmp, tmpsize, + BITS_PER_MP_LIMB - MIN (4, exponent)); + if (cy != 0) + frac[tmpsize++] = cy; + } + else + (void) mpn_rshift (frac, tmp, tmpsize, MIN (4, exponent)); + fracsize = tmpsize; + exp10 |= 1; + assert (frac[fracsize - 1] < 10); + } + exponent = exp10; + } + else + { + /* This is a special case. We don't need a factor because the + numbers are in the range of 1.0 <= |fp| < 8.0. We simply + shift it to the right place and divide it by 1.0 to get the + leading digit. (Of course this division is not really made.) */ + assert (0 <= exponent && exponent < 3 && + exponent + to_shift < BITS_PER_MP_LIMB); + + /* Now shift the input value to its right place. */ + cy = mpn_lshift (frac, fp_input, fracsize, (exponent + to_shift)); + frac[fracsize++] = cy; + exponent = 0; + } + + { + int width = info->width; + wchar_t *wstartp, *wcp; + size_t chars_needed; + int expscale; + int intdig_max, intdig_no = 0; + int fracdig_min; + int fracdig_max; + int dig_max; + int significant; + int ngroups = 0; + char spec = tolower (info->spec); + + if (spec == 'e') + { + type = info->spec; + intdig_max = 1; + fracdig_min = fracdig_max = info->prec < 0 ? 6 : info->prec; + chars_needed = 1 + 1 + (size_t) fracdig_max + 1 + 1 + 4; + /* d . ddd e +- ddd */ + dig_max = __INT_MAX__; /* Unlimited. */ + significant = 1; /* Does not matter here. */ + } + else if (spec == 'f') + { + type = 'f'; + fracdig_min = fracdig_max = info->prec < 0 ? 6 : info->prec; + dig_max = __INT_MAX__; /* Unlimited. */ + significant = 1; /* Does not matter here. */ + if (expsign == 0) + { + intdig_max = exponent + 1; + /* This can be really big! */ /* XXX Maybe malloc if too big? */ + chars_needed = (size_t) exponent + 1 + 1 + (size_t) fracdig_max; + } + else + { + intdig_max = 1; + chars_needed = 1 + 1 + (size_t) fracdig_max; + } + } + else + { + dig_max = info->prec < 0 ? 6 : (info->prec == 0 ? 1 : info->prec); + if ((expsign == 0 && exponent >= dig_max) + || (expsign != 0 && exponent > 4)) + { + if ('g' - 'G' == 'e' - 'E') + type = 'E' + (info->spec - 'G'); + else + type = isupper (info->spec) ? 'E' : 'e'; + fracdig_max = dig_max - 1; + intdig_max = 1; + chars_needed = 1 + 1 + (size_t) fracdig_max + 1 + 1 + 4; + } + else + { + type = 'f'; + intdig_max = expsign == 0 ? exponent + 1 : 0; + fracdig_max = dig_max - intdig_max; + /* We need space for the significant digits and perhaps + for leading zeros when < 1.0. The number of leading + zeros can be as many as would be required for + exponential notation with a negative two-digit + exponent, which is 4. */ + chars_needed = (size_t) dig_max + 1 + 4; + } + fracdig_min = info->alt ? fracdig_max : 0; + significant = 0; /* We count significant digits. */ + } + + if (grouping) + { + /* Guess the number of groups we will make, and thus how + many spaces we need for separator characters. */ + ngroups = guess_grouping (intdig_max, grouping); + /* Allocate one more character in case rounding increases the + number of groups. */ + chars_needed += ngroups + 1; + } + + /* Allocate buffer for output. We need two more because while rounding + it is possible that we need two more characters in front of all the + other output. If the amount of memory we have to allocate is too + large use `malloc' instead of `alloca'. */ + if (__builtin_expect (chars_needed >= (size_t) -1 / sizeof (wchar_t) - 2 + || chars_needed < fracdig_max, 0)) + { + /* Some overflow occurred. */ +#if defined HAVE_ERRNO_H && defined ERANGE + errno = ERANGE; +#endif + return -1; + } + size_t wbuffer_to_alloc = (2 + chars_needed) * sizeof (wchar_t); + buffer_malloced = wbuffer_to_alloc >= 4096; + if (__builtin_expect (buffer_malloced, 0)) + { + wbuffer = (wchar_t *) malloc (wbuffer_to_alloc); + if (wbuffer == NULL) + /* Signal an error to the caller. */ + return -1; + } + else + wbuffer = (wchar_t *) alloca (wbuffer_to_alloc); + wcp = wstartp = wbuffer + 2; /* Let room for rounding. */ + + /* Do the real work: put digits in allocated buffer. */ + if (expsign == 0 || type != 'f') + { + assert (expsign == 0 || intdig_max == 1); + while (intdig_no < intdig_max) + { + ++intdig_no; + *wcp++ = hack_digit (); + } + significant = 1; + if (info->alt + || fracdig_min > 0 + || (fracdig_max > 0 && (fracsize > 1 || frac[0] != 0))) + *wcp++ = decimalwc; + } + else + { + /* |fp| < 1.0 and the selected type is 'f', so put "0." + in the buffer. */ + *wcp++ = L_('0'); + --exponent; + *wcp++ = decimalwc; + } + + /* Generate the needed number of fractional digits. */ + int fracdig_no = 0; + int added_zeros = 0; + while (fracdig_no < fracdig_min + added_zeros + || (fracdig_no < fracdig_max && (fracsize > 1 || frac[0] != 0))) + { + ++fracdig_no; + *wcp = hack_digit (); + if (*wcp++ != L_('0')) + significant = 1; + else if (significant == 0) + { + ++fracdig_max; + if (fracdig_min > 0) + ++added_zeros; + } + } + + /* Do rounding. */ + digit = hack_digit (); + if (digit > L_('4')) + { + wchar_t *wtp = wcp; + + if (digit == L_('5') + && ((*(wcp - 1) != decimalwc && (*(wcp - 1) & 1) == 0) + || ((*(wcp - 1) == decimalwc && (*(wcp - 2) & 1) == 0)))) + { + /* This is the critical case. */ + if (fracsize == 1 && frac[0] == 0) + /* Rest of the number is zero -> round to even. + (IEEE 754-1985 4.1 says this is the default rounding.) */ + goto do_expo; + else if (scalesize == 0) + { + /* Here we have to see whether all limbs are zero since no + normalization happened. */ + size_t lcnt = fracsize; + while (lcnt >= 1 && frac[lcnt - 1] == 0) + --lcnt; + if (lcnt == 0) + /* Rest of the number is zero -> round to even. + (IEEE 754-1985 4.1 says this is the default rounding.) */ + goto do_expo; + } + } + + if (fracdig_no > 0) + { + /* Process fractional digits. Terminate if not rounded or + radix character is reached. */ + int removed = 0; + while (*--wtp != decimalwc && *wtp == L_('9')) + { + *wtp = L_('0'); + ++removed; + } + if (removed == fracdig_min && added_zeros > 0) + --added_zeros; + if (*wtp != decimalwc) + /* Round up. */ + (*wtp)++; + else if (__builtin_expect (spec == 'g' && type == 'f' && info->alt + && wtp == wstartp + 1 + && wstartp[0] == L_('0'), + 0)) + /* This is a special case: the rounded number is 1.0, + the format is 'g' or 'G', and the alternative format + is selected. This means the result must be "1.". */ + --added_zeros; + } + + if (fracdig_no == 0 || *wtp == decimalwc) + { + /* Round the integer digits. */ + if (*(wtp - 1) == decimalwc) + --wtp; + + while (--wtp >= wstartp && *wtp == L_('9')) + *wtp = L_('0'); + + if (wtp >= wstartp) + /* Round up. */ + (*wtp)++; + else + /* It is more critical. All digits were 9's. */ + { + if (type != 'f') + { + *wstartp = '1'; + exponent += expsign == 0 ? 1 : -1; + + /* The above exponent adjustment could lead to 1.0e-00, + e.g. for 0.999999999. Make sure exponent 0 always + uses + sign. */ + if (exponent == 0) + expsign = 0; + } + else if (intdig_no == dig_max) + { + /* This is the case where for type %g the number fits + really in the range for %f output but after rounding + the number of digits is too big. */ + *--wstartp = decimalwc; + *--wstartp = L_('1'); + + if (info->alt || fracdig_no > 0) + { + /* Overwrite the old radix character. */ + wstartp[intdig_no + 2] = L_('0'); + ++fracdig_no; + } + + fracdig_no += intdig_no; + intdig_no = 1; + fracdig_max = intdig_max - intdig_no; + ++exponent; + /* Now we must print the exponent. */ + type = isupper (info->spec) ? 'E' : 'e'; + } + else + { + /* We can simply add another another digit before the + radix. */ + *--wstartp = L_('1'); + ++intdig_no; + } + + /* While rounding the number of digits can change. + If the number now exceeds the limits remove some + fractional digits. */ + if (intdig_no + fracdig_no > dig_max) + { + wcp -= intdig_no + fracdig_no - dig_max; + fracdig_no -= intdig_no + fracdig_no - dig_max; + } + } + } + } + + do_expo: + /* Now remove unnecessary '0' at the end of the string. */ + while (fracdig_no > fracdig_min + added_zeros && *(wcp - 1) == L_('0')) + { + --wcp; + --fracdig_no; + } + /* If we eliminate all fractional digits we perhaps also can remove + the radix character. */ + if (fracdig_no == 0 && !info->alt && *(wcp - 1) == decimalwc) + --wcp; + + if (grouping) + { + /* Rounding might have changed the number of groups. We allocated + enough memory but we need here the correct number of groups. */ + if (intdig_no != intdig_max) + ngroups = guess_grouping (intdig_no, grouping); + + /* Add in separator characters, overwriting the same buffer. */ + wcp = group_number (wstartp, wcp, intdig_no, grouping, thousands_sepwc, + ngroups); + } + + /* Write the exponent if it is needed. */ + if (type != 'f') + { + if (__builtin_expect (expsign != 0 && exponent == 4 && spec == 'g', 0)) + { + /* This is another special case. The exponent of the number is + really smaller than -4, which requires the 'e'/'E' format. + But after rounding the number has an exponent of -4. */ + assert (wcp >= wstartp + 1); + assert (wstartp[0] == L_('1')); + memcpy (wstartp, L_("0.0001"), 6 * sizeof (wchar_t)); + wstartp[1] = decimalwc; + if (wcp >= wstartp + 2) + { + size_t cnt; + for (cnt = 0; cnt < wcp - (wstartp + 2); cnt++) + wstartp[6 + cnt] = L_('0'); + wcp += 4; + } + else + wcp += 5; + } + else + { + *wcp++ = (wchar_t) type; + *wcp++ = expsign ? L_('-') : L_('+'); + + /* Find the magnitude of the exponent. */ + expscale = 10; + while (expscale <= exponent) + expscale *= 10; + + if (exponent < 10) + /* Exponent always has at least two digits. */ + *wcp++ = L_('0'); + else + do + { + expscale /= 10; + *wcp++ = L_('0') + (exponent / expscale); + exponent %= expscale; + } + while (expscale > 10); + *wcp++ = L_('0') + exponent; + } + } + + /* Compute number of characters which must be filled with the padding + character. */ + if (is_neg || info->showsign || info->space) + --width; + width -= wcp - wstartp; + + if (!info->left && info->pad != '0' && width > 0) + PADN (info->pad, width); + + if (is_neg) + outchar ('-'); + else if (info->showsign) + outchar ('+'); + else if (info->space) + outchar (' '); + + if (!info->left && info->pad == '0' && width > 0) + PADN ('0', width); + + { + char *buffer = NULL; + char *buffer_end __attribute__((__unused__)) = NULL; + char *cp = NULL; + char *tmpptr; + + if (! wide) + { + /* Create the single byte string. */ + size_t decimal_len; + size_t thousands_sep_len; + wchar_t *copywc; +#ifdef USE_I18N_NUMBER_H + size_t factor = (info->i18n + ? nl_langinfo_wc (_NL_CTYPE_MB_CUR_MAX) + : 1); +#else + size_t factor = 1; +#endif + + decimal_len = strlen (decimal); + + if (thousands_sep == NULL) + thousands_sep_len = 0; + else + thousands_sep_len = strlen (thousands_sep); + + size_t nbuffer = (2 + chars_needed * factor + decimal_len + + ngroups * thousands_sep_len); + if (__builtin_expect (buffer_malloced, 0)) + { + buffer = (char *) malloc (nbuffer); + if (buffer == NULL) + { + /* Signal an error to the caller. */ + free (wbuffer); + return -1; + } + } + else + buffer = (char *) alloca (nbuffer); + buffer_end = buffer + nbuffer; + + /* Now copy the wide character string. Since the character + (except for the decimal point and thousands separator) must + be coming from the ASCII range we can esily convert the + string without mapping tables. */ + for (cp = buffer, copywc = wstartp; copywc < wcp; ++copywc) + if (*copywc == decimalwc) + memcpy (cp, decimal, decimal_len), cp += decimal_len; + else if (*copywc == thousands_sepwc) + memcpy (cp, thousands_sep, thousands_sep_len), cp += thousands_sep_len; + else + *cp++ = (char) *copywc; + } + + tmpptr = buffer; +#if USE_I18N_NUMBER_H + if (__builtin_expect (info->i18n, 0)) + { + tmpptr = _i18n_number_rewrite (tmpptr, cp, buffer_end); + cp = buffer_end; + assert ((uintptr_t) buffer <= (uintptr_t) tmpptr); + assert ((uintptr_t) tmpptr < (uintptr_t) buffer_end); + } +#endif + + PRINT (tmpptr, wstartp, wide ? wcp - wstartp : cp - tmpptr); + + /* Free the memory if necessary. */ + if (__builtin_expect (buffer_malloced, 0)) + { + free (buffer); + free (wbuffer); + } + } + + if (info->left && width > 0) + PADN (info->pad, width); + } + return done; +} + +/* Return the number of extra grouping characters that will be inserted + into a number with INTDIG_MAX integer digits. */ + +static unsigned int +guess_grouping (unsigned int intdig_max, const char *grouping) +{ + unsigned int groups; + + /* We treat all negative values like CHAR_MAX. */ + + if (*grouping == CHAR_MAX || *grouping <= 0) + /* No grouping should be done. */ + return 0; + + groups = 0; + while (intdig_max > (unsigned int) *grouping) + { + ++groups; + intdig_max -= *grouping++; + + if (*grouping == 0) + { + /* Same grouping repeats. */ + groups += (intdig_max - 1) / grouping[-1]; + break; + } + else if (*grouping == CHAR_MAX || *grouping <= 0) + /* No more grouping should be done. */ + break; + } + + return groups; +} + +/* Group the INTDIG_NO integer digits of the number in [BUF,BUFEND). + There is guaranteed enough space past BUFEND to extend it. + Return the new end of buffer. */ + +static wchar_t * +group_number (wchar_t *buf, wchar_t *bufend, unsigned int intdig_no, + const char *grouping, wchar_t thousands_sep, int ngroups) +{ + wchar_t *p; + + if (ngroups == 0) + return bufend; + + /* Move the fractional part down. */ + memmove (buf + intdig_no + ngroups, buf + intdig_no, + (bufend - (buf + intdig_no)) * sizeof (wchar_t)); + + p = buf + intdig_no + ngroups - 1; + do + { + unsigned int len = *grouping++; + do + *p-- = buf[--intdig_no]; + while (--len > 0); + *p-- = thousands_sep; + + if (*grouping == 0) + /* Same grouping repeats. */ + --grouping; + else if (*grouping == CHAR_MAX || *grouping <= 0) + /* No more grouping should be done. */ + break; + } while (intdig_no > (unsigned int) *grouping); + + /* Copy the remaining ungrouped digits. */ + do + *p-- = buf[--intdig_no]; + while (p > buf); + + return bufend + ngroups; +} diff --git a/libquadmath/printf/printf_fphex.c b/libquadmath/printf/printf_fphex.c new file mode 100644 index 000000000..941e93307 --- /dev/null +++ b/libquadmath/printf/printf_fphex.c @@ -0,0 +1,463 @@ +/* Print floating point number in hexadecimal notation according to ISO C99. + Copyright (C) 1997-2002,2004,2006 Free Software Foundation, Inc. + This file is part of the GNU C Library. + Contributed by Ulrich Drepper <drepper@cygnus.com>, 1997. + + The GNU C Library is free software; you can redistribute it and/or + modify it under the terms of the GNU Lesser General Public + License as published by the Free Software Foundation; either + version 2.1 of the License, or (at your option) any later version. + + The GNU C Library is distributed in the hope that it will be useful, + but WITHOUT ANY WARRANTY; without even the implied warranty of + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + Lesser General Public License for more details. + + You should have received a copy of the GNU Lesser General Public + License along with the GNU C Library; if not, write to the Free + Software Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA + 02111-1307 USA. */ + +#include <config.h> +#include <math.h> +#include <stdlib.h> +#include <stdio.h> +#include <string.h> +#define NDEBUG +#include <assert.h> +#include "quadmath-printf.h" +#include "_itoa.h" +#include "_itowa.h" + + +/* Macros for doing the actual output. */ + +#define outchar(ch) \ + do \ + { \ + register const int outc = (ch); \ + if (PUTC (outc, fp) == EOF) \ + return -1; \ + ++done; \ + } while (0) + +#define PRINT(ptr, wptr, len) \ + do \ + { \ + register size_t outlen = (len); \ + if (wide) \ + while (outlen-- > 0) \ + outchar (*wptr++); \ + else \ + while (outlen-- > 0) \ + outchar (*ptr++); \ + } while (0) + +#define PADN(ch, len) \ + do \ + { \ + if (PAD (fp, ch, len) != len) \ + return -1; \ + done += len; \ + } \ + while (0) + + + +int +__quadmath_printf_fphex (struct __quadmath_printf_file *fp, + const struct printf_info *info, + const void *const *args) +{ + /* The floating-point value to output. */ + ieee854_float128 fpnum; + + /* Locale-dependent representation of decimal point. */ + const char *decimal; + wchar_t decimalwc; + + /* "NaN" or "Inf" for the special cases. */ + const char *special = NULL; + const wchar_t *wspecial = NULL; + + /* Buffer for the generated number string for the mantissa. The + maximal size for the mantissa is 128 bits. */ + char numbuf[32]; + char *numstr; + char *numend; + wchar_t wnumbuf[32]; + wchar_t *wnumstr; + wchar_t *wnumend; + int negative; + + /* The maximal exponent of two in decimal notation has 5 digits. */ + char expbuf[5]; + char *expstr; + wchar_t wexpbuf[5]; + wchar_t *wexpstr; + int expnegative; + int exponent; + + /* Non-zero is mantissa is zero. */ + int zero_mantissa; + + /* The leading digit before the decimal point. */ + char leading; + + /* Precision. */ + int precision = info->prec; + + /* Width. */ + int width = info->width; + + /* Number of characters written. */ + int done = 0; + + /* Nonzero if this is output on a wide character stream. */ + int wide = info->wide; + + /* Figure out the decimal point character. */ +#ifdef USE_NL_LANGINFO + if (info->extra == 0) + decimal = nl_langinfo (DECIMAL_POINT); + else + { + decimal = nl_langinfo (MON_DECIMAL_POINT); + if (*decimal == '\0') + decimal = nl_langinfo (DECIMAL_POINT); + } + /* The decimal point character must never be zero. */ + assert (*decimal != '\0'); +#elif defined USE_LOCALECONV + const struct lconv *lc = localeconv (); + if (info->extra == 0) + decimal = lc->decimal_point; + else + { + decimal = lc->mon_decimal_point; + if (decimal == NULL || *decimal == '\0') + decimal = lc->decimal_point; + } + if (decimal == NULL || *decimal == '\0') + decimal = "."; +#else + decimal = "."; +#endif +#ifdef USE_NL_LANGINFO_WC + if (info->extra == 0) + decimalwc = nl_langinfo_wc (_NL_NUMERIC_DECIMAL_POINT_WC); + else + { + decimalwc = nl_langinfo_wc (_NL_MONETARY_DECIMAL_POINT_WC); + if (decimalwc == L_('\0')) + decimalwc = nl_langinfo_wc (_NL_NUMERIC_DECIMAL_POINT_WC); + } + /* The decimal point character must never be zero. */ + assert (decimalwc != L_('\0')); +#else + decimalwc = L_('.'); +#endif + + /* Fetch the argument value. */ + { + fpnum.value = **(const __float128 **) args[0]; + + /* Check for special values: not a number or infinity. */ + if (isnanq (fpnum.value)) + { + negative = fpnum.ieee.negative != 0; + if (isupper (info->spec)) + { + special = "NAN"; + wspecial = L_("NAN"); + } + else + { + special = "nan"; + wspecial = L_("nan"); + } + } + else + { + if (isinfq (fpnum.value)) + { + if (isupper (info->spec)) + { + special = "INF"; + wspecial = L_("INF"); + } + else + { + special = "inf"; + wspecial = L_("inf"); + } + } + + negative = signbitq (fpnum.value); + } + } + + if (special) + { + int width = info->width; + + if (negative || info->showsign || info->space) + --width; + width -= 3; + + if (!info->left && width > 0) + PADN (' ', width); + + if (negative) + outchar ('-'); + else if (info->showsign) + outchar ('+'); + else if (info->space) + outchar (' '); + + PRINT (special, wspecial, 3); + + if (info->left && width > 0) + PADN (' ', width); + + return done; + } + + { + /* We have 112 bits of mantissa plus one implicit digit. Since + 112 bits are representable without rest using hexadecimal + digits we use only the implicit digits for the number before + the decimal point. */ + uint64_t num0, num1; + + assert (sizeof (long double) == 16); + + num0 = fpnum.ieee.mant_high; + num1 = fpnum.ieee.mant_low; + + zero_mantissa = (num0|num1) == 0; + + if (sizeof (unsigned long int) > 6) + { + numstr = _itoa_word (num1, numbuf + sizeof numbuf, 16, + info->spec == 'A'); + wnumstr = _itowa_word (num1, + wnumbuf + sizeof (wnumbuf) / sizeof (wchar_t), + 16, info->spec == 'A'); + } + else + { + numstr = _itoa (num1, numbuf + sizeof numbuf, 16, + info->spec == 'A'); + wnumstr = _itowa (num1, + wnumbuf + sizeof (wnumbuf) / sizeof (wchar_t), + 16, info->spec == 'A'); + } + + while (numstr > numbuf + (sizeof numbuf - 64 / 4)) + { + *--numstr = '0'; + *--wnumstr = L_('0'); + } + + if (sizeof (unsigned long int) > 6) + { + numstr = _itoa_word (num0, numstr, 16, info->spec == 'A'); + wnumstr = _itowa_word (num0, wnumstr, 16, info->spec == 'A'); + } + else + { + numstr = _itoa (num0, numstr, 16, info->spec == 'A'); + wnumstr = _itowa (num0, wnumstr, 16, info->spec == 'A'); + } + + /* Fill with zeroes. */ + while (numstr > numbuf + (sizeof numbuf - 112 / 4)) + { + *--numstr = '0'; + *--wnumstr = L_('0'); + } + + leading = fpnum.ieee.exponent == 0 ? '0' : '1'; + + exponent = fpnum.ieee.exponent; + + if (exponent == 0) + { + if (zero_mantissa) + expnegative = 0; + else + { + /* This is a denormalized number. */ + expnegative = 1; + exponent = IEEE854_FLOAT128_BIAS - 1; + } + } + else if (exponent >= IEEE854_FLOAT128_BIAS) + { + expnegative = 0; + exponent -= IEEE854_FLOAT128_BIAS; + } + else + { + expnegative = 1; + exponent = -(exponent - IEEE854_FLOAT128_BIAS); + } + } + + /* Look for trailing zeroes. */ + if (! zero_mantissa) + { + wnumend = &wnumbuf[sizeof wnumbuf / sizeof wnumbuf[0]]; + numend = &numbuf[sizeof numbuf / sizeof numbuf[0]]; + while (wnumend[-1] == L_('0')) + { + --wnumend; + --numend; + } + + if (precision == -1) + precision = numend - numstr; + else if (precision < numend - numstr + && (numstr[precision] > '8' + || (('A' < '0' || 'a' < '0') + && numstr[precision] < '0') + || (numstr[precision] == '8' + && (precision + 1 < numend - numstr + /* Round to even. */ + || (precision > 0 + && ((numstr[precision - 1] & 1) + ^ (isdigit (numstr[precision - 1]) == 0))) + || (precision == 0 + && ((leading & 1) + ^ (isdigit (leading) == 0))))))) + { + /* Round up. */ + int cnt = precision; + while (--cnt >= 0) + { + char ch = numstr[cnt]; + /* We assume that the digits and the letters are ordered + like in ASCII. This is true for the rest of GNU, too. */ + if (ch == '9') + { + wnumstr[cnt] = (wchar_t) info->spec; + numstr[cnt] = info->spec; /* This is tricky, + think about it! */ + break; + } + else if (tolower (ch) < 'f') + { + ++numstr[cnt]; + ++wnumstr[cnt]; + break; + } + else + { + numstr[cnt] = '0'; + wnumstr[cnt] = L_('0'); + } + } + if (cnt < 0) + { + /* The mantissa so far was fff...f Now increment the + leading digit. Here it is again possible that we + get an overflow. */ + if (leading == '9') + leading = info->spec; + else if (tolower (leading) < 'f') + ++leading; + else + { + leading = '1'; + if (expnegative) + { + exponent -= 4; + if (exponent <= 0) + { + exponent = -exponent; + expnegative = 0; + } + } + else + exponent += 4; + } + } + } + } + else + { + if (precision == -1) + precision = 0; + numend = numstr; + wnumend = wnumstr; + } + + /* Now we can compute the exponent string. */ + expstr = _itoa_word (exponent, expbuf + sizeof expbuf, 10, 0); + wexpstr = _itowa_word (exponent, + wexpbuf + sizeof wexpbuf / sizeof (wchar_t), 10, 0); + + /* Now we have all information to compute the size. */ + width -= ((negative || info->showsign || info->space) + /* Sign. */ + + 2 + 1 + 0 + precision + 1 + 1 + /* 0x h . hhh P ExpoSign. */ + + ((expbuf + sizeof expbuf) - expstr)); + /* Exponent. */ + + /* Count the decimal point. + A special case when the mantissa or the precision is zero and the `#' + is not given. In this case we must not print the decimal point. */ + if (precision > 0 || info->alt) + width -= wide ? 1 : strlen (decimal); + + if (!info->left && info->pad != '0' && width > 0) + PADN (' ', width); + + if (negative) + outchar ('-'); + else if (info->showsign) + outchar ('+'); + else if (info->space) + outchar (' '); + + outchar ('0'); + if ('X' - 'A' == 'x' - 'a') + outchar (info->spec + ('x' - 'a')); + else + outchar (info->spec == 'A' ? 'X' : 'x'); + + if (!info->left && info->pad == '0' && width > 0) + PADN ('0', width); + + outchar (leading); + + if (precision > 0 || info->alt) + { + const wchar_t *wtmp = &decimalwc; + PRINT (decimal, wtmp, wide ? 1 : strlen (decimal)); + } + + if (precision > 0) + { + ssize_t tofill = precision - (numend - numstr); + PRINT (numstr, wnumstr, MIN (numend - numstr, precision)); + if (tofill > 0) + PADN ('0', tofill); + } + + if ('P' - 'A' == 'p' - 'a') + outchar (info->spec + ('p' - 'a')); + else + outchar (info->spec == 'A' ? 'P' : 'p'); + + outchar (expnegative ? '-' : '+'); + + PRINT (expstr, wexpstr, (expbuf + sizeof expbuf) - expstr); + + if (info->left && info->pad != '0' && width > 0) + PADN (info->pad, width); + + return done; +} diff --git a/libquadmath/printf/quadmath-printf.c b/libquadmath/printf/quadmath-printf.c new file mode 100644 index 000000000..b70f432cc --- /dev/null +++ b/libquadmath/printf/quadmath-printf.c @@ -0,0 +1,422 @@ +/* GCC Quad-Precision Math Library + Copyright (C) 2011 Free Software Foundation, Inc. + Written by Jakub Jelinek <jakub@redhat.com> + +This file is part of the libquadmath library. +Libquadmath is free software; you can redistribute it and/or +modify it under the terms of the GNU Library General Public +License as published by the Free Software Foundation; either +version 2 of the License, or (at your option) any later version. + +Libquadmath is distributed in the hope that it will be useful, +but WITHOUT ANY WARRANTY; without even the implied warranty of +MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU +Library General Public License for more details. + +You should have received a copy of the GNU Library General Public +License along with libquadmath; see the file COPYING.LIB. If +not, write to the Free Software Foundation, Inc., 51 Franklin Street - Fifth Floor, +Boston, MA 02110-1301, USA. */ + +#include <config.h> +#include <stdarg.h> +#include <string.h> +#include <stdio.h> +#include "quadmath-printf.h" + +/* Read a simple integer from a string and update the string pointer. + It is assumed that the first character is a digit. */ +static unsigned int +read_int (const char **pstr) +{ + unsigned int retval = (unsigned char) **pstr - '0'; + + while (isdigit ((unsigned char) *++(*pstr))) + { + retval *= 10; + retval += (unsigned char) **pstr - '0'; + } + + return retval; +} + +#define PADSIZE 16 +static char const blanks[PADSIZE] = +{' ',' ',' ',' ',' ',' ',' ',' ',' ',' ',' ',' ',' ',' ',' ',' '}; +static char const zeroes[PADSIZE] = +{'0','0','0','0','0','0','0','0','0','0','0','0','0','0','0','0'}; +static wchar_t const wblanks[PADSIZE] = +{ + L_(' '), L_(' '), L_(' '), L_(' '), L_(' '), L_(' '), L_(' '), L_(' '), + L_(' '), L_(' '), L_(' '), L_(' '), L_(' '), L_(' '), L_(' '), L_(' ') +}; +static wchar_t const wzeroes[PADSIZE] = +{ + L_('0'), L_('0'), L_('0'), L_('0'), L_('0'), L_('0'), L_('0'), L_('0'), + L_('0'), L_('0'), L_('0'), L_('0'), L_('0'), L_('0'), L_('0'), L_('0') +}; + +attribute_hidden size_t +__quadmath_do_pad (struct __quadmath_printf_file *fp, int wide, int c, + size_t n) +{ + ssize_t i; + char padbuf[PADSIZE]; + wchar_t wpadbuf[PADSIZE]; + const char *padstr; + size_t w, written = 0; + if (wide) + { + if (c == ' ') + padstr = (const char *) wblanks; + else if (c == '0') + padstr = (const char *) wzeroes; + else + { + padstr = (const char *) wpadbuf; + for (i = 0; i < PADSIZE; i++) + wpadbuf[i] = c; + } + } + else + { + if (c == ' ') + padstr = blanks; + else if (c == '0') + padstr = zeroes; + else + { + padstr = (const char *) padbuf; + for (i = 0; i < PADSIZE; i++) + padbuf[i] = c; + } + } + for (i = n; i >= PADSIZE; i -= PADSIZE) + { + w = PUT (fp, (char *) padstr, PADSIZE); + written += w; + if (w != PADSIZE) + return written; + } + if (i > 0) + { + w = PUT (fp, (char *) padstr, i); + written += w; + } + return written; +} + +/* This is a stripped down version of snprintf, which just handles + a single %eEfFgGaA format entry with Q modifier. % has to be + the first character of the format string, no $ can be used. */ +int +quadmath_snprintf (char *str, size_t size, const char *format, ...) +{ + struct printf_info info; + va_list ap; + __float128 fpnum, *fpnum_addr = &fpnum, **fpnum_addr2 = &fpnum_addr; + struct __quadmath_printf_file qfp; + + if (*format++ != '%') + return -1; + + /* Clear information structure. */ + memset (&info, '\0', sizeof info); + /* info.alt = 0; + info.space = 0; + info.left = 0; + info.showsign = 0; + info.group = 0; + info.i18n = 0; + info.extra = 0; */ + info.pad = ' '; + /* info.wide = 0; */ + + /* Check for spec modifiers. */ + do + { + switch (*format) + { + case ' ': + /* Output a space in place of a sign, when there is no sign. */ + info.space = 1; + continue; + case '+': + /* Always output + or - for numbers. */ + info.showsign = 1; + continue; + case '-': + /* Left-justify things. */ + info.left = 1; + continue; + case '#': + /* Use the "alternate form": + Hex has 0x or 0X, FP always has a decimal point. */ + info.alt = 1; + continue; + case '0': + /* Pad with 0s. */ + info.pad = '0'; + continue; + case '\'': + /* Show grouping in numbers if the locale information + indicates any. */ + info.group = 1; + continue; + case 'I': + /* Use the internationalized form of the output. Currently + means to use the `outdigits' of the current locale. */ + info.i18n = 1; + continue; + default: + break; + } + break; + } + while (*++format); + + if (info.left) + info.pad = ' '; + + va_start (ap, format); + + /* Get the field width. */ + /* info.width = 0; */ + if (*format == '*') + { + /* The field width is given in an argument. + A negative field width indicates left justification. */ + ++format; + info.width = va_arg (ap, int); + } + else if (isdigit (*format)) + /* Constant width specification. */ + info.width = read_int (&format); + + /* Get the precision. */ + /* -1 means none given; 0 means explicit 0. */ + info.prec = -1; + if (*format == '.') + { + ++format; + if (*format == '*') + { + /* The precision is given in an argument. */ + ++format; + + info.prec = va_arg (ap, int); + } + else if (isdigit (*format)) + info.prec = read_int (&format); + else + /* "%.?" is treated like "%.0?". */ + info.prec = 0; + } + + /* Check for type modifiers. */ + /* info.is_long_double = 0; + info.is_short = 0; + info.is_long = 0; + info.is_char = 0; + info.user = 0; */ + + /* We require Q modifier. */ + if (*format++ != 'Q') + { + va_end (ap); + return -1; + } + + /* Get the format specification. */ + info.spec = (wchar_t) *format++; + if (info.spec == L_('\0') || *format != '\0') + { + va_end (ap); + return -1; + } + + switch (info.spec) + { + case L_('e'): + case L_('E'): + case L_('f'): + case L_('F'): + case L_('g'): + case L_('G'): + case L_('a'): + case L_('A'): + break; + default: + va_end (ap); + return -1; + } + + fpnum = va_arg (ap, __float128); + va_end (ap); + + qfp.fp = NULL; + qfp.str = str; + qfp.size = size ? size - 1 : 0; + qfp.len = 0; + qfp.file_p = 0; + + if (info.spec == L_('a') || info.spec == L_('A')) + __quadmath_printf_fphex (&qfp, &info, (const void *const *)&fpnum_addr2); + else + __quadmath_printf_fp (&qfp, &info, (const void *const *)&fpnum_addr2); + + if (size) + *qfp.str = '\0'; + + return qfp.len; +} + +#ifdef HAVE_PRINTF_HOOKS +static int pa_flt128; +int mod_Q attribute_hidden; + +static void +flt128_va (void *mem, va_list *ap) +{ + __float128 d = va_arg (*ap, __float128); + memcpy (mem, &d, sizeof (d)); +} + +static int +flt128_ais (const struct printf_info *info, size_t n __attribute__ ((unused)), + int *argtype, int *size) +{ + if (info->user & mod_Q) + { + argtype[0] = pa_flt128; + size[0] = sizeof (__float128); + return 1; + } +#if __GLIBC__ < 2 || (__GLIBC__ == 2 && __GLIBC_MINOR__ <= 13) + /* Workaround bug in glibc printf hook handling. */ + size[0] = -1; + switch (info->spec) + { + case L_('i'): + case L_('d'): + case L_('u'): + case L_('o'): + case L_('X'): + case L_('x'): +#if __LONG_MAX__ != __LONG_LONG_MAX__ + if (info->is_long_double) + argtype[0] = PA_INT|PA_FLAG_LONG_LONG; + else +#endif + if (info->is_long) + argtype[0] = PA_INT|PA_FLAG_LONG; + else if (info->is_short) + argtype[0] = PA_INT|PA_FLAG_SHORT; + else if (info->is_char) + argtype[0] = PA_CHAR; + else + argtype[0] = PA_INT; + return 1; + case L_('e'): + case L_('E'): + case L_('f'): + case L_('F'): + case L_('g'): + case L_('G'): + case L_('a'): + case L_('A'): + if (info->is_long_double) + argtype[0] = PA_DOUBLE|PA_FLAG_LONG_DOUBLE; + else + argtype[0] = PA_DOUBLE; + return 1; + case L_('c'): + argtype[0] = PA_CHAR; + return 1; + case L_('C'): + argtype[0] = PA_WCHAR; + return 1; + case L_('s'): + argtype[0] = PA_STRING; + return 1; + case L_('S'): + argtype[0] = PA_WSTRING; + return 1; + case L_('p'): + argtype[0] = PA_POINTER; + return 1; + case L_('n'): + argtype[0] = PA_INT|PA_FLAG_PTR; + return 1; + + case L_('m'): + default: + /* An unknown spec will consume no args. */ + return 0; + } +#endif + return -1; +} + +static int +flt128_printf_fp (FILE *fp, const struct printf_info *info, + const void *const *args) +{ + struct __quadmath_printf_file qpf + = { .fp = fp, .str = NULL, .size = 0, .len = 0, .file_p = 1 }; + + if ((info->user & mod_Q) == 0) + return -2; + + return __quadmath_printf_fp (&qpf, info, args); +} + +static int +flt128_printf_fphex (FILE *fp, const struct printf_info *info, + const void *const *args) +{ + struct __quadmath_printf_file qpf + = { .fp = fp, .str = NULL, .size = 0, .len = 0, .file_p = 1 }; + + if ((info->user & mod_Q) == 0) + return -2; + + return __quadmath_printf_fphex (&qpf, info, args); +} + +__attribute__((constructor)) static void +register_printf_flt128 (void) +{ + pa_flt128 = register_printf_type (flt128_va); + if (pa_flt128 == -1) + return; + mod_Q = register_printf_modifier (L_("Q")); + if (mod_Q == -1) + return; + register_printf_specifier ('f', flt128_printf_fp, flt128_ais); + register_printf_specifier ('F', flt128_printf_fp, flt128_ais); + register_printf_specifier ('e', flt128_printf_fp, flt128_ais); + register_printf_specifier ('E', flt128_printf_fp, flt128_ais); + register_printf_specifier ('g', flt128_printf_fp, flt128_ais); + register_printf_specifier ('G', flt128_printf_fp, flt128_ais); + register_printf_specifier ('a', flt128_printf_fphex, flt128_ais); + register_printf_specifier ('A', flt128_printf_fphex, flt128_ais); +} + +__attribute__((destructor)) static void +unregister_printf_flt128 (void) +{ + /* No way to unregister printf type and modifier currently, + and only one printf specifier can be registered right now. */ + if (pa_flt128 == -1 || mod_Q == -1) + return; + register_printf_specifier ('f', NULL, NULL); + register_printf_specifier ('F', NULL, NULL); + register_printf_specifier ('e', NULL, NULL); + register_printf_specifier ('E', NULL, NULL); + register_printf_specifier ('g', NULL, NULL); + register_printf_specifier ('G', NULL, NULL); + register_printf_specifier ('a', NULL, NULL); + register_printf_specifier ('A', NULL, NULL); +} +#endif diff --git a/libquadmath/printf/quadmath-printf.h b/libquadmath/printf/quadmath-printf.h new file mode 100644 index 000000000..32ebcec92 --- /dev/null +++ b/libquadmath/printf/quadmath-printf.h @@ -0,0 +1,186 @@ +/* GCC Quad-Precision Math Library + Copyright (C) 2011 Free Software Foundation, Inc. + Written by Jakub Jelinek <jakub@redhat.com> + +This file is part of the libquadmath library. +Libquadmath is free software; you can redistribute it and/or +modify it under the terms of the GNU Library General Public +License as published by the Free Software Foundation; either +version 2 of the License, or (at your option) any later version. + +Libquadmath is distributed in the hope that it will be useful, +but WITHOUT ANY WARRANTY; without even the implied warranty of +MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU +Library General Public License for more details. + +You should have received a copy of the GNU Library General Public +License along with libquadmath; see the file COPYING.LIB. If +not, write to the Free Software Foundation, Inc., 51 Franklin Street - Fifth Floor, +Boston, MA 02110-1301, USA. */ + +#include <stdlib.h> +#include <stdio.h> +#ifdef HAVE_LIMITS_H +#include <limits.h> +#endif +#ifdef HAVE_LANGINFO_H +#include <langinfo.h> +#endif +#ifdef HAVE_CTYPE_H +#include <ctype.h> +#endif +#ifdef HAVE_WCHAR_H +#include <wchar.h> +#endif +#ifdef HAVE_WCTYPE_H +#include <wctype.h> +#endif +#ifdef HAVE_PRINTF_HOOKS +#include <printf.h> +#endif +#ifdef HAVE_LOCALE_H +#include <locale.h> +#endif +#include "quadmath-imp.h" +#include "gmp-impl.h" + +#ifdef HAVE_WCHAR_H +#define L_(x) L##x +#else +#define L_(x) x +#undef wchar_t +#undef wint_t +#undef putwc +#undef WEOF +#define wchar_t char +#define wint_t int +#define putwc(c,f) putc(c,f) +#define WEOF EOF +#endif + +#ifndef HAVE_CTYPE_H +/* Won't work for EBCDIC. */ +#undef isupper +#undef isdigit +#undef isxdigit +#undef tolower +#define isupper(x) \ + ({__typeof(x) __is_x = (x); __is_x >= 'A' && __is_x <= 'Z'; }) +#define isdigit(x) \ + ({__typeof(x) __is_x = (x); __is_x >= '0' && __is_x <= '9'; }) +#define isxdigit(x) \ + ({__typeof(x) __is_x = (x); \ + (__is_x >= '0' && __is_x <= '9') \ + || ((x) >= 'A' && (x) <= 'F') \ + || ((x) >= 'a' && (x) <= 'f'); }) +#define tolower(x) \ + ({__typeof(x) __is_x = (x); \ + (__is_x >= 'A' && __is_x <= 'Z') ? __is_x - 'A' + 'a' : __is_x; }) +#endif + +#ifndef CHAR_MAX +#ifdef __CHAR_UNSIGNED__ +#define CHAR_MAX (2 * __SCHAR_MAX__ + 1) +#else +#define CHAR_MAX __SCHAR_MAX__ +#endif +#endif + +#ifndef HAVE_PRINTF_HOOKS +#define printf_info __quadmath_printf_info +struct printf_info +{ + int prec; /* Precision. */ + int width; /* Width. */ + wchar_t spec; /* Format letter. */ + unsigned int is_long_double:1;/* L flag. */ + unsigned int is_short:1; /* h flag. */ + unsigned int is_long:1; /* l flag. */ + unsigned int alt:1; /* # flag. */ + unsigned int space:1; /* Space flag. */ + unsigned int left:1; /* - flag. */ + unsigned int showsign:1; /* + flag. */ + unsigned int group:1; /* ' flag. */ + unsigned int extra:1; /* For special use. */ + unsigned int is_char:1; /* hh flag. */ + unsigned int wide:1; /* Nonzero for wide character streams. */ + unsigned int i18n:1; /* I flag. */ + unsigned short int user; /* Bits for user-installed modifiers. */ + wchar_t pad; /* Padding character. */ +}; +#endif + +struct __quadmath_printf_file +{ + FILE *fp; + char *str; + size_t size; + size_t len; + int file_p; +}; + +int +__quadmath_printf_fp (struct __quadmath_printf_file *fp, + const struct printf_info *info, + const void *const *args) attribute_hidden; +int +__quadmath_printf_fphex (struct __quadmath_printf_file *fp, + const struct printf_info *info, + const void *const *args) attribute_hidden; + +size_t __quadmath_do_pad (struct __quadmath_printf_file *fp, int wide, + int c, size_t n) attribute_hidden; + +static inline __attribute__((__unused__)) size_t +__quadmath_do_put (struct __quadmath_printf_file *fp, int wide, + const char *s, size_t n) +{ + size_t len; + if (fp->file_p) + { + if (wide) + { + size_t cnt; + const wchar_t *ls = (const wchar_t *) s; + for (cnt = 0; cnt < n; cnt++) + if (putwc (ls[cnt], fp->fp) == WEOF) + break; + return cnt; + } + return fwrite (s, 1, n, fp->fp); + } + len = MIN (fp->size, n); + memcpy (fp->str, s, len); + fp->str += len; + fp->size -= len; + fp->len += n; + return n; +} + +static inline __attribute__((__unused__)) int +__quadmath_do_putc (struct __quadmath_printf_file *fp, int wide, + wchar_t c) +{ + if (fp->file_p) + return wide ? (int) putwc (c, fp->fp) : putc (c, fp->fp); + if (fp->size) + { + *(fp->str++) = c; + fp->size--; + } + fp->len++; + return (unsigned char) c; +} + +#define PUT(f, s, n) __quadmath_do_put (f, wide, s, n) +#define PAD(f, c, n) __quadmath_do_pad (f, wide, c, n) +#define PUTC(c, f) __quadmath_do_putc (f, wide, c) + +#define nl_langinfo_wc(x) \ + ({ union { const char *mb; wchar_t wc; } u; u.mb = nl_langinfo (x); u.wc; }) + +#undef _itoa +#define _itoa __quadmath_itoa + +#undef NAN +#define NAN __builtin_nanf ("") diff --git a/libquadmath/printf/rshift.c b/libquadmath/printf/rshift.c new file mode 100644 index 000000000..17fd914d9 --- /dev/null +++ b/libquadmath/printf/rshift.c @@ -0,0 +1,88 @@ +/* mpn_rshift -- Shift right a low-level natural-number integer. + +Copyright (C) 1991, 1993, 1994, 1996 Free Software Foundation, Inc. + +This file is part of the GNU MP Library. + +The GNU MP Library is free software; you can redistribute it and/or modify +it under the terms of the GNU Lesser General Public License as published by +the Free Software Foundation; either version 2.1 of the License, or (at your +option) any later version. + +The GNU MP Library is distributed in the hope that it will be useful, but +WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY +or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public +License for more details. + +You should have received a copy of the GNU Lesser General Public License +along with the GNU MP Library; see the file COPYING.LIB. If not, write to +the Free Software Foundation, Inc., 59 Temple Place - Suite 330, Boston, +MA 02111-1307, USA. */ + +#include <config.h> +#include "gmp-impl.h" + +/* Shift U (pointed to by UP and USIZE limbs long) CNT bits to the right + and store the USIZE least significant limbs of the result at WP. + The bits shifted out to the right are returned. + + Argument constraints: + 1. 0 < CNT < BITS_PER_MP_LIMB + 2. If the result is to be written over the input, WP must be <= UP. +*/ + +mp_limb_t +#if __STDC__ +mpn_rshift (register mp_ptr wp, + register mp_srcptr up, mp_size_t usize, + register unsigned int cnt) +#else +mpn_rshift (wp, up, usize, cnt) + register mp_ptr wp; + register mp_srcptr up; + mp_size_t usize; + register unsigned int cnt; +#endif +{ + register mp_limb_t high_limb, low_limb; + register unsigned sh_1, sh_2; + register mp_size_t i; + mp_limb_t retval; + +#ifdef DEBUG + if (usize == 0 || cnt == 0) + abort (); +#endif + + sh_1 = cnt; + +#if 0 + if (sh_1 == 0) + { + if (wp != up) + { + /* Copy from low end to high end, to allow specified input/output + overlapping. */ + for (i = 0; i < usize; i++) + wp[i] = up[i]; + } + return usize; + } +#endif + + wp -= 1; + sh_2 = BITS_PER_MP_LIMB - sh_1; + high_limb = up[0]; + retval = high_limb << sh_2; + low_limb = high_limb; + + for (i = 1; i < usize; i++) + { + high_limb = up[i]; + wp[i] = (low_limb >> sh_1) | (high_limb << sh_2); + low_limb = high_limb; + } + wp[i] = low_limb >> sh_1; + + return retval; +} diff --git a/libquadmath/printf/sub_n.c b/libquadmath/printf/sub_n.c new file mode 100644 index 000000000..92e718731 --- /dev/null +++ b/libquadmath/printf/sub_n.c @@ -0,0 +1,62 @@ +/* mpn_sub_n -- Subtract two limb vectors of equal, non-zero length. + +Copyright (C) 1992, 1993, 1994, 1996 Free Software Foundation, Inc. + +This file is part of the GNU MP Library. + +The GNU MP Library is free software; you can redistribute it and/or modify +it under the terms of the GNU Lesser General Public License as published by +the Free Software Foundation; either version 2.1 of the License, or (at your +option) any later version. + +The GNU MP Library is distributed in the hope that it will be useful, but +WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY +or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public +License for more details. + +You should have received a copy of the GNU Lesser General Public License +along with the GNU MP Library; see the file COPYING.LIB. If not, write to +the Free Software Foundation, Inc., 59 Temple Place - Suite 330, Boston, +MA 02111-1307, USA. */ + +#include <config.h> +#include "gmp-impl.h" + +mp_limb_t +#if __STDC__ +mpn_sub_n (mp_ptr res_ptr, mp_srcptr s1_ptr, mp_srcptr s2_ptr, mp_size_t size) +#else +mpn_sub_n (res_ptr, s1_ptr, s2_ptr, size) + register mp_ptr res_ptr; + register mp_srcptr s1_ptr; + register mp_srcptr s2_ptr; + mp_size_t size; +#endif +{ + register mp_limb_t x, y, cy; + register mp_size_t j; + + /* The loop counter and index J goes from -SIZE to -1. This way + the loop becomes faster. */ + j = -size; + + /* Offset the base pointers to compensate for the negative indices. */ + s1_ptr -= j; + s2_ptr -= j; + res_ptr -= j; + + cy = 0; + do + { + y = s2_ptr[j]; + x = s1_ptr[j]; + y += cy; /* add previous carry to subtrahend */ + cy = (y < cy); /* get out carry from that addition */ + y = x - y; /* main subtract */ + cy = (y > x) + cy; /* get out carry from the subtract, combine */ + res_ptr[j] = y; + } + while (++j != 0); + + return cy; +} diff --git a/libquadmath/printf/submul_1.c b/libquadmath/printf/submul_1.c new file mode 100644 index 000000000..31903c628 --- /dev/null +++ b/libquadmath/printf/submul_1.c @@ -0,0 +1,64 @@ +/* mpn_submul_1 -- multiply the S1_SIZE long limb vector pointed to by S1_PTR + by S2_LIMB, subtract the S1_SIZE least significant limbs of the product + from the limb vector pointed to by RES_PTR. Return the most significant + limb of the product, adjusted for carry-out from the subtraction. + +Copyright (C) 1992, 1993, 1994, 1996, 2005 Free Software Foundation, Inc. + +This file is part of the GNU MP Library. + +The GNU MP Library is free software; you can redistribute it and/or modify +it under the terms of the GNU Lesser General Public License as published by +the Free Software Foundation; either version 2.1 of the License, or (at your +option) any later version. + +The GNU MP Library is distributed in the hope that it will be useful, but +WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY +or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public +License for more details. + +You should have received a copy of the GNU Lesser General Public License +along with the GNU MP Library; see the file COPYING.LIB. If not, write to +the Free Software Foundation, Inc., 59 Temple Place - Suite 330, Boston, +MA 02111-1307, USA. */ + +#include <config.h> +#include "gmp-impl.h" + +mp_limb_t +mpn_submul_1 (res_ptr, s1_ptr, s1_size, s2_limb) + register mp_ptr res_ptr; + register mp_srcptr s1_ptr; + mp_size_t s1_size; + register mp_limb_t s2_limb; +{ + register mp_limb_t cy_limb; + register mp_size_t j; + register mp_limb_t prod_high, prod_low; + register mp_limb_t x; + + /* The loop counter and index J goes from -SIZE to -1. This way + the loop becomes faster. */ + j = -s1_size; + + /* Offset the base pointers to compensate for the negative indices. */ + res_ptr -= j; + s1_ptr -= j; + + cy_limb = 0; + do + { + umul_ppmm (prod_high, prod_low, s1_ptr[j], s2_limb); + + prod_low += cy_limb; + cy_limb = (prod_low < cy_limb) + prod_high; + + x = res_ptr[j]; + prod_low = x - prod_low; + cy_limb += (prod_low > x); + res_ptr[j] = prod_low; + } + while (++j != 0); + + return cy_limb; +} diff --git a/libquadmath/quadmath-imp.h b/libquadmath/quadmath-imp.h new file mode 100644 index 000000000..db34a92f0 --- /dev/null +++ b/libquadmath/quadmath-imp.h @@ -0,0 +1,166 @@ +/* GCC Quad-Precision Math Library + Copyright (C) 2010, 2011 Free Software Foundation, Inc. + Written by Francois-Xavier Coudert <fxcoudert@gcc.gnu.org> + +This file is part of the libquadmath library. +Libquadmath is free software; you can redistribute it and/or +modify it under the terms of the GNU Library General Public +License as published by the Free Software Foundation; either +version 2 of the License, or (at your option) any later version. + +Libquadmath is distributed in the hope that it will be useful, +but WITHOUT ANY WARRANTY; without even the implied warranty of +MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU +Library General Public License for more details. + +You should have received a copy of the GNU Library General Public +License along with libquadmath; see the file COPYING.LIB. If +not, write to the Free Software Foundation, Inc., 51 Franklin Street - Fifth Floor, +Boston, MA 02110-1301, USA. */ + +#ifndef QUADMATH_IMP_H +#define QUADMATH_IMP_H + +#include <stdint.h> +#include <stdlib.h> +#include "quadmath.h" +#include "config.h" + + +/* Prototypes for internal functions. */ +extern int32_t __quadmath_rem_pio2q (__float128, __float128 *); +extern void __quadmath_kernel_sincosq (__float128, __float128, __float128 *, + __float128 *, int); +extern __float128 __quadmath_kernel_sinq (__float128, __float128, int); +extern __float128 __quadmath_kernel_cosq (__float128, __float128); + + + +/* Frankly, if you have __float128, you have 64-bit integers, right? */ +#ifndef UINT64_C +# error "No way!" +#endif + + +/* Main union type we use to manipulate the floating-point type. */ +typedef union +{ + __float128 value; + + struct + { +#if __BYTE_ORDER__ == __ORDER_BIG_ENDIAN__ + unsigned negative:1; + unsigned exponent:15; + uint64_t mant_high:48; + uint64_t mant_low:64; +#else + uint64_t mant_low:64; + uint64_t mant_high:48; + unsigned exponent:15; + unsigned negative:1; +#endif + } ieee; + + struct + { +#if __BYTE_ORDER__ == __ORDER_BIG_ENDIAN__ + uint64_t high; + uint64_t low; +#else + uint64_t low; + uint64_t high; +#endif + } words64; + + struct + { +#if __BYTE_ORDER__ == __ORDER_BIG_ENDIAN__ + uint32_t w0; + uint32_t w1; + uint32_t w2; + uint32_t w3; +#else + uint32_t w3; + uint32_t w2; + uint32_t w1; + uint32_t w0; +#endif + } words32; + + struct + { +#if __BYTE_ORDER__ == __ORDER_BIG_ENDIAN__ + unsigned negative:1; + unsigned exponent:15; + unsigned quiet_nan:1; + uint64_t mant_high:47; + uint64_t mant_low:64; +#else + uint64_t mant_low:64; + uint64_t mant_high:47; + unsigned quiet_nan:1; + unsigned exponent:15; + unsigned negative:1; +#endif + } nan; + +} ieee854_float128; + + +/* Get two 64 bit ints from a long double. */ +#define GET_FLT128_WORDS64(ix0,ix1,d) \ +do { \ + ieee854_float128 u; \ + u.value = (d); \ + (ix0) = u.words64.high; \ + (ix1) = u.words64.low; \ +} while (0) + +/* Set a long double from two 64 bit ints. */ +#define SET_FLT128_WORDS64(d,ix0,ix1) \ +do { \ + ieee854_float128 u; \ + u.words64.high = (ix0); \ + u.words64.low = (ix1); \ + (d) = u.value; \ +} while (0) + +/* Get the more significant 64 bits of a long double mantissa. */ +#define GET_FLT128_MSW64(v,d) \ +do { \ + ieee854_float128 u; \ + u.value = (d); \ + (v) = u.words64.high; \ +} while (0) + +/* Set the more significant 64 bits of a long double mantissa from an int. */ +#define SET_FLT128_MSW64(d,v) \ +do { \ + ieee854_float128 u; \ + u.value = (d); \ + u.words64.high = (v); \ + (d) = u.value; \ +} while (0) + +/* Get the least significant 64 bits of a long double mantissa. */ +#define GET_FLT128_LSW64(v,d) \ +do { \ + ieee854_float128 u; \ + u.value = (d); \ + (v) = u.words64.low; \ +} while (0) + + +#define IEEE854_FLOAT128_BIAS 0x3fff + +#define QUADFP_NAN 0 +#define QUADFP_INFINITE 1 +#define QUADFP_ZERO 2 +#define QUADFP_SUBNORMAL 3 +#define QUADFP_NORMAL 4 +#define fpclassifyq(x) \ + __builtin_fpclassify (QUADFP_NAN, QUADFP_INFINITE, QUADFP_NORMAL, \ + QUADFP_SUBNORMAL, QUADFP_ZERO, x) + +#endif diff --git a/libquadmath/quadmath.h b/libquadmath/quadmath.h new file mode 100644 index 000000000..863fe440b --- /dev/null +++ b/libquadmath/quadmath.h @@ -0,0 +1,192 @@ +/* GCC Quad-Precision Math Library + Copyright (C) 2010, 2011 Free Software Foundation, Inc. + Written by Francois-Xavier Coudert <fxcoudert@gcc.gnu.org> + +This file is part of the libquadmath library. +Libquadmath is free software; you can redistribute it and/or +modify it under the terms of the GNU Library General Public +License as published by the Free Software Foundation; either +version 2 of the License, or (at your option) any later version. + +Libquadmath is distributed in the hope that it will be useful, +but WITHOUT ANY WARRANTY; without even the implied warranty of +MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU +Library General Public License for more details. + +You should have received a copy of the GNU Library General Public +License along with libquadmath; see the file COPYING.LIB. If +not, write to the Free Software Foundation, Inc., 51 Franklin Street - Fifth Floor, +Boston, MA 02110-1301, USA. */ + +#ifndef QUADMATH_H +#define QUADMATH_H + +#include <stdlib.h> + +/* Define the complex type corresponding to __float128 + ("_Complex __float128" is not allowed) */ +typedef _Complex float __attribute__((mode(TC))) __complex128; + +#ifdef __cplusplus +# define __quadmath_throw throw () +# define __quadmath_nth(fct) fct throw () +#else +# define __quadmath_throw __attribute__((__nothrow__)) +# define __quadmath_nth(fct) __attribute__((__nothrow__)) fct +#endif + +/* Prototypes for real functions */ +extern __float128 acosq (__float128) __quadmath_throw; +extern __float128 acoshq (__float128) __quadmath_throw; +extern __float128 asinq (__float128) __quadmath_throw; +extern __float128 asinhq (__float128) __quadmath_throw; +extern __float128 atanq (__float128) __quadmath_throw; +extern __float128 atanhq (__float128) __quadmath_throw; +extern __float128 atan2q (__float128, __float128) __quadmath_throw; +extern __float128 cbrtq (__float128) __quadmath_throw; +extern __float128 ceilq (__float128) __quadmath_throw; +extern __float128 copysignq (__float128, __float128) __quadmath_throw; +extern __float128 coshq (__float128) __quadmath_throw; +extern __float128 cosq (__float128) __quadmath_throw; +extern __float128 erfq (__float128) __quadmath_throw; +extern __float128 erfcq (__float128) __quadmath_throw; +extern __float128 expq (__float128) __quadmath_throw; +extern __float128 expm1q (__float128) __quadmath_throw; +extern __float128 fabsq (__float128) __quadmath_throw; +extern __float128 fdimq (__float128, __float128) __quadmath_throw; +extern int finiteq (__float128) __quadmath_throw; +extern __float128 floorq (__float128) __quadmath_throw; +extern __float128 fmaq (__float128, __float128, __float128) __quadmath_throw; +extern __float128 fmaxq (__float128, __float128) __quadmath_throw; +extern __float128 fminq (__float128, __float128) __quadmath_throw; +extern __float128 fmodq (__float128, __float128) __quadmath_throw; +extern __float128 frexpq (__float128, int *) __quadmath_throw; +extern __float128 hypotq (__float128, __float128) __quadmath_throw; +extern int isinfq (__float128) __quadmath_throw; +extern int ilogbq (__float128) __quadmath_throw; +extern int isnanq (__float128) __quadmath_throw; +extern __float128 j0q (__float128) __quadmath_throw; +extern __float128 j1q (__float128) __quadmath_throw; +extern __float128 jnq (int, __float128) __quadmath_throw; +extern __float128 ldexpq (__float128, int) __quadmath_throw; +extern __float128 lgammaq (__float128) __quadmath_throw; +extern long long int llrintq (__float128) __quadmath_throw; +extern long long int llroundq (__float128) __quadmath_throw; +extern __float128 logq (__float128) __quadmath_throw; +extern __float128 log10q (__float128) __quadmath_throw; +extern __float128 log2q (__float128) __quadmath_throw; +extern __float128 log1pq (__float128) __quadmath_throw; +extern long int lrintq (__float128) __quadmath_throw; +extern long int lroundq (__float128) __quadmath_throw; +extern __float128 modfq (__float128, __float128 *) __quadmath_throw; +extern __float128 nanq (const char *) __quadmath_throw; +extern __float128 nearbyintq (__float128) __quadmath_throw; +extern __float128 nextafterq (__float128, __float128) __quadmath_throw; +extern __float128 powq (__float128, __float128) __quadmath_throw; +extern __float128 remainderq (__float128, __float128) __quadmath_throw; +extern __float128 remquoq (__float128, __float128, int *) __quadmath_throw; +extern __float128 rintq (__float128) __quadmath_throw; +extern __float128 roundq (__float128) __quadmath_throw; +extern __float128 scalblnq (__float128, long int) __quadmath_throw; +extern __float128 scalbnq (__float128, int) __quadmath_throw; +extern int signbitq (__float128) __quadmath_throw; +extern void sincosq (__float128, __float128 *, __float128 *) __quadmath_throw; +extern __float128 sinhq (__float128) __quadmath_throw; +extern __float128 sinq (__float128) __quadmath_throw; +extern __float128 sqrtq (__float128) __quadmath_throw; +extern __float128 tanq (__float128) __quadmath_throw; +extern __float128 tanhq (__float128) __quadmath_throw; +extern __float128 tgammaq (__float128) __quadmath_throw; +extern __float128 truncq (__float128) __quadmath_throw; +extern __float128 y0q (__float128) __quadmath_throw; +extern __float128 y1q (__float128) __quadmath_throw; +extern __float128 ynq (int, __float128) __quadmath_throw; + + +/* Prototypes for complex functions */ +extern __float128 cabsq (__complex128) __quadmath_throw; +extern __float128 cargq (__complex128) __quadmath_throw; +extern __float128 cimagq (__complex128) __quadmath_throw; +extern __float128 crealq (__complex128) __quadmath_throw; +extern __complex128 cacosq (__complex128) __quadmath_throw; +extern __complex128 cacoshq (__complex128) __quadmath_throw; +extern __complex128 casinq (__complex128) __quadmath_throw; +extern __complex128 casinhq (__complex128) __quadmath_throw; +extern __complex128 catanq (__complex128) __quadmath_throw; +extern __complex128 catanhq (__complex128) __quadmath_throw; +extern __complex128 ccosq (__complex128) __quadmath_throw; +extern __complex128 ccoshq (__complex128) __quadmath_throw; +extern __complex128 cexpq (__complex128) __quadmath_throw; +extern __complex128 cexpiq (__float128) __quadmath_throw; +extern __complex128 clogq (__complex128) __quadmath_throw; +extern __complex128 clog10q (__complex128) __quadmath_throw; +extern __complex128 conjq (__complex128) __quadmath_throw; +extern __complex128 cpowq (__complex128, __complex128) __quadmath_throw; +extern __complex128 cprojq (__complex128) __quadmath_throw; +extern __complex128 csinq (__complex128) __quadmath_throw; +extern __complex128 csinhq (__complex128) __quadmath_throw; +extern __complex128 csqrtq (__complex128) __quadmath_throw; +extern __complex128 ctanq (__complex128) __quadmath_throw; +extern __complex128 ctanhq (__complex128) __quadmath_throw; + + +/* Prototypes for string <-> __float128 conversion functions */ +extern __float128 strtoflt128 (const char *, char **) __quadmath_throw; +extern int quadmath_snprintf (char *str, size_t size, + const char *format, ...) __quadmath_throw; + + +/* Macros */ +#define FLT128_MAX 1.18973149535723176508575932662800702e4932Q +#define FLT128_MIN 3.36210314311209350626267781732175260e-4932Q +#define FLT128_EPSILON 1.92592994438723585305597794258492732e-34Q +#define FLT128_DENORM_MIN 6.475175119438025110924438958227646552e-4966Q +#define FLT128_MANT_DIG 113 +#define FLT128_MIN_EXP (-16381) +#define FLT128_MAX_EXP 16384 +#define FLT128_DIG 33 +#define FLT128_MIN_10_EXP (-4931) +#define FLT128_MAX_10_EXP 4932 + + +#define HUGE_VALQ __builtin_huge_valq() +/* The following alternative is valid, but brings the warning: + (floating constant exceeds range of ‘__float128’) */ +/* #define HUGE_VALQ (__extension__ 0x1.0p32767Q) */ + +#define M_Eq 2.7182818284590452353602874713526625Q /* e */ +#define M_LOG2Eq 1.4426950408889634073599246810018921Q /* log_2 e */ +#define M_LOG10Eq 0.4342944819032518276511289189166051Q /* log_10 e */ +#define M_LN2q 0.6931471805599453094172321214581766Q /* log_e 2 */ +#define M_LN10q 2.3025850929940456840179914546843642Q /* log_e 10 */ +#define M_PIq 3.1415926535897932384626433832795029Q /* pi */ +#define M_PI_2q 1.5707963267948966192313216916397514Q /* pi/2 */ +#define M_PI_4q 0.7853981633974483096156608458198757Q /* pi/4 */ +#define M_1_PIq 0.3183098861837906715377675267450287Q /* 1/pi */ +#define M_2_PIq 0.6366197723675813430755350534900574Q /* 2/pi */ +#define M_2_SQRTPIq 1.1283791670955125738961589031215452Q /* 2/sqrt(pi) */ +#define M_SQRT2q 1.4142135623730950488016887242096981Q /* sqrt(2) */ +#define M_SQRT1_2q 0.7071067811865475244008443621048490Q /* 1/sqrt(2) */ + +#define __quadmath_extern_inline \ + extern inline __attribute__ ((__gnu_inline__)) + +__quadmath_extern_inline __float128 +__quadmath_nth (cimagq (__complex128 __z)) +{ + return __imag__ __z; +} + +__quadmath_extern_inline __float128 +__quadmath_nth (crealq (__complex128 __z)) +{ + return __real__ __z; +} + +__quadmath_extern_inline __complex128 +__quadmath_nth (conjq (__complex128 __z)) +{ + return __extension__ ~__z; +} + +#endif diff --git a/libquadmath/quadmath.map b/libquadmath/quadmath.map new file mode 100644 index 000000000..2d2028022 --- /dev/null +++ b/libquadmath/quadmath.map @@ -0,0 +1,98 @@ +QUADMATH_1.0 { + global: + acosq; + acoshq; + asinq; + asinhq; + atanq; + atanhq; + atan2q; + cbrtq; + ceilq; + copysignq; + coshq; + cosq; + erfq; + erfcq; + expq; + expm1q; + fabsq; + fdimq; + finiteq; + floorq; + fmaq; + fmaxq; + fminq; + fmodq; + frexpq; + hypotq; + ilogbq; + isinfq; + isnanq; + j0q; + j1q; + jnq; + ldexpq; + lgammaq; + llrintq; + llroundq; + logq; + log10q; + log1pq; + log2q; + lrintq; + lroundq; + modfq; + nanq; + nearbyintq; + nextafterq; + powq; + remainderq; + remquoq; + rintq; + roundq; + scalblnq; + scalbnq; + signbitq; + sincosq; + sinhq; + sinq; + sqrtq; + tanq; + tanhq; + tgammaq; + truncq; + y0q; + y1q; + ynq; + + cabsq; + cargq; + cimagq; + crealq; + cacoshq; + cacosq; + casinhq; + casinq; + catanhq; + catanq; + ccosq; + ccoshq; + cexpq; + cexpiq; + clogq; + clog10q; + conjq; + cpowq; + cprojq; + csinq; + csinhq; + csqrtq; + ctanq; + ctanhq; + + strtoflt128; + quadmath_snprintf; + local: + *; +}; diff --git a/libquadmath/quadmath_weak.h b/libquadmath/quadmath_weak.h new file mode 100644 index 000000000..986079abc --- /dev/null +++ b/libquadmath/quadmath_weak.h @@ -0,0 +1,137 @@ +/* GCC Quad-Precision Math Library + Copyright (C) 2010, 2011 Free Software Foundation, Inc. + Written by Tobias Burnus <burnus@net-b.de> + +This file is part of the libquadmath library. +Libquadmath is free software; you can redistribute it and/or +modify it under the terms of the GNU Library General Public +License as published by the Free Software Foundation; either +version 2 of the License, or (at your option) any later version. + +Libquadmath is distributed in the hope that it will be useful, +but WITHOUT ANY WARRANTY; without even the implied warranty of +MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU +Library General Public License for more details. + +You should have received a copy of the GNU Library General Public +License along with libquadmath; see the file COPYING.LIB. If +not, write to the Free Software Foundation, Inc., 51 Franklin Street - Fifth Floor, +Boston, MA 02110-1301, USA. */ + +#ifndef QUADMATH_WEAK_H +#define QUADMATH_WEAK_H + +#include "quadmath.h" + +#if SUPPORTS_WEAK +# define __qmath2(name,name2,type) \ + static __typeof(type) name __attribute__ ((__weakref__(#name2))); +# define __qmath_(name) __qmath_ ## name +#else +# define __qmath2(name,name2,type) +# define __qmath_(name) name +#endif + +/* __qmath_foo is a weak reference to symbol foo. */ +#define __qmath3(name) __qmath2(__qmath_ ## name,name,name) + +/* Prototypes for real functions. */ +__qmath3 (acosq) +__qmath3 (acoshq) +__qmath3 (asinq) +__qmath3 (asinhq) +__qmath3 (atanq) +__qmath3 (atanhq) +__qmath3 (atan2q) +__qmath3 (cbrtq) +__qmath3 (ceilq) +__qmath3 (copysignq) +__qmath3 (coshq) +__qmath3 (cosq) +__qmath3 (erfq) +__qmath3 (erfcq) +__qmath3 (expq) +__qmath3 (expm1q) +__qmath3 (fabsq) +__qmath3 (fdimq) +__qmath3 (finiteq) +__qmath3 (floorq) +__qmath3 (fmaq) +__qmath3 (fmaxq) +__qmath3 (fminq) +__qmath3 (fmodq) +__qmath3 (frexpq) +__qmath3 (hypotq) +__qmath3 (ilogbq) +__qmath3 (isinfq) +__qmath3 (isnanq) +__qmath3 (j0q) +__qmath3 (j1q) +__qmath3 (jnq) +__qmath3 (ldexpq) +__qmath3 (lgammaq) +__qmath3 (llrintq) +__qmath3 (llroundq) +__qmath3 (logq) +__qmath3 (log10q) +__qmath3 (log1pq) +__qmath3 (log2q) +__qmath3 (lrintq) +__qmath3 (lroundq) +__qmath3 (modfq) +__qmath3 (nanq) +__qmath3 (nearbyintq) +__qmath3 (nextafterq) +__qmath3 (powq) +__qmath3 (remainderq) +__qmath3 (remquoq) +__qmath3 (rintq) +__qmath3 (roundq) +__qmath3 (scalblnq) +__qmath3 (scalbnq) +__qmath3 (signbitq) +__qmath3 (sincosq) +__qmath3 (sinhq) +__qmath3 (sinq) +__qmath3 (sqrtq) +__qmath3 (tanq) +__qmath3 (tanhq) +__qmath3 (tgammaq) +__qmath3 (truncq) +__qmath3 (y0q) +__qmath3 (y1q) +__qmath3 (ynq) + + +/* Prototypes for complex functions. */ +__qmath3 (cabsq) +__qmath3 (cargq) +__qmath3 (cimagq) +__qmath3 (crealq) +__qmath3 (cacosq) +__qmath3 (cacoshq) +__qmath3 (casinq) +__qmath3 (casinhq) +__qmath3 (catanq) +__qmath3 (catanhq) +__qmath3 (ccosq) +__qmath3 (ccoshq) +__qmath3 (cexpq) +__qmath3 (cexpiq) +__qmath3 (clogq) +__qmath3 (clog10q) +__qmath3 (conjq) +__qmath3 (cpowq) +__qmath3 (cprojq) +__qmath3 (csinq) +__qmath3 (csinhq) +__qmath3 (csqrtq) +__qmath3 (ctanq) +__qmath3 (ctanhq) + + +/* Prototypes for string <-> flt128 conversion functions. */ +__qmath3 (strtoflt128) +__qmath3 (quadmath_snprintf) + +#endif diff --git a/libquadmath/strtod/grouping.h b/libquadmath/strtod/grouping.h new file mode 100644 index 000000000..a16608712 --- /dev/null +++ b/libquadmath/strtod/grouping.h @@ -0,0 +1,37 @@ +/* Internal header for proving correct grouping in strings of numbers. + Copyright (C) 1995,1996,1997,1998,2000,2003 Free Software Foundation, Inc. + This file is part of the GNU C Library. + Contributed by Ulrich Drepper <drepper@gnu.ai.mit.edu>, 1995. + + The GNU C Library is free software; you can redistribute it and/or + modify it under the terms of the GNU Lesser General Public + License as published by the Free Software Foundation; either + version 2.1 of the License, or (at your option) any later version. + + The GNU C Library is distributed in the hope that it will be useful, + but WITHOUT ANY WARRANTY; without even the implied warranty of + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + Lesser General Public License for more details. + + You should have received a copy of the GNU Lesser General Public + License along with the GNU C Library; if not, write to the Free + Software Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA + 02111-1307 USA. */ + +/* Find the maximum prefix of the string between BEGIN and END which + satisfies the grouping rules. It is assumed that at least one digit + follows BEGIN directly. */ +extern const wchar_t *__correctly_grouped_prefixwc (const wchar_t *begin, + const wchar_t *end, + wchar_t thousands, + const char *grouping) + attribute_hidden; + +extern const char *__correctly_grouped_prefixmb (const char *begin, + const char *end, + const char *thousands, + const char *grouping) + attribute_hidden; + +/* Disable grouping support for now. */ +#define __correctly_grouped_prefixmb(b,e,t,g) e diff --git a/libquadmath/strtod/mpn2flt128.c b/libquadmath/strtod/mpn2flt128.c new file mode 100644 index 000000000..844ae97d8 --- /dev/null +++ b/libquadmath/strtod/mpn2flt128.c @@ -0,0 +1,51 @@ +/* Copyright (C) 1995,1996,1997,1998,1999,2002,2003 + Free Software Foundation, Inc. + This file is part of the GNU C Library. + + The GNU C Library is free software; you can redistribute it and/or + modify it under the terms of the GNU Lesser General Public + License as published by the Free Software Foundation; either + version 2.1 of the License, or (at your option) any later version. + + The GNU C Library is distributed in the hope that it will be useful, + but WITHOUT ANY WARRANTY; without even the implied warranty of + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + Lesser General Public License for more details. + + You should have received a copy of the GNU Lesser General Public + License along with the GNU C Library; if not, write to the Free + Software Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA + 02111-1307 USA. */ + +#include <config.h> +#include <float.h> +#include <math.h> +#include "../printf/gmp-impl.h" + +/* Convert a multi-precision integer of the needed number of bits (113 for + long double) and an integral power of two to a `long double' in IEEE854 + quad-precision format. */ + +__float128 +mpn_construct_float128 (mp_srcptr frac_ptr, int expt, int sign) +{ + ieee854_float128 u; + + u.ieee.negative = sign; + u.ieee.exponent = expt + IEEE854_FLOAT128_BIAS; +#if BITS_PER_MP_LIMB == 32 + u.ieee.mant_low = (((uint64_t) frac_ptr[1]) << 32) + | (frac_ptr[0] & 0xffffffff); + u.ieee.mant_high = (((uint64_t) frac_ptr[3] + & (((mp_limb_t) 1 << (FLT128_MANT_DIG - 96)) - 1)) + << 32) | (frac_ptr[2] & 0xffffffff); +#elif BITS_PER_MP_LIMB == 64 + u.ieee.mant_low = frac_ptr[0]; + u.ieee.mant_high = frac_ptr[1] + & (((mp_limb_t) 1 << (FLT128_MANT_DIG - 64)) - 1); +#else + #error "mp_limb size " BITS_PER_MP_LIMB "not accounted for" +#endif + + return u.value; +} diff --git a/libquadmath/strtod/strtod_l.c b/libquadmath/strtod/strtod_l.c new file mode 100644 index 000000000..a3df5e2ba --- /dev/null +++ b/libquadmath/strtod/strtod_l.c @@ -0,0 +1,1571 @@ +/* Convert string representing a number to float value, using given locale. + Copyright (C) 1997,1998,2002,2004,2005,2006,2007,2008,2009,2010 + Free Software Foundation, Inc. + This file is part of the GNU C Library. + Contributed by Ulrich Drepper <drepper@cygnus.com>, 1997. + + The GNU C Library is free software; you can redistribute it and/or + modify it under the terms of the GNU Lesser General Public + License as published by the Free Software Foundation; either + version 2.1 of the License, or (at your option) any later version. + + The GNU C Library is distributed in the hope that it will be useful, + but WITHOUT ANY WARRANTY; without even the implied warranty of + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + Lesser General Public License for more details. + + You should have received a copy of the GNU Lesser General Public + License along with the GNU C Library; if not, write to the Free + Software Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA + 02111-1307 USA. */ + +#include <config.h> +#include <stdarg.h> +#include <string.h> +#include <float.h> +#include <math.h> +#define NDEBUG 1 +#include <assert.h> +#ifdef HAVE_ERRNO_H +#include <errno.h> +#endif +#include "../printf/quadmath-printf.h" +#include "../printf/fpioconst.h" + + +#undef L_ +#ifdef USE_WIDE_CHAR +# define STRING_TYPE wchar_t +# define CHAR_TYPE wint_t +# define L_(Ch) L##Ch +# define ISSPACE(Ch) __iswspace_l ((Ch), loc) +# define ISDIGIT(Ch) __iswdigit_l ((Ch), loc) +# define ISXDIGIT(Ch) __iswxdigit_l ((Ch), loc) +# define TOLOWER(Ch) __towlower_l ((Ch), loc) +# define TOLOWER_C(Ch) __towlower_l ((Ch), _nl_C_locobj_ptr) +# define STRNCASECMP(S1, S2, N) \ + __wcsncasecmp_l ((S1), (S2), (N), _nl_C_locobj_ptr) +# define STRTOULL(S, E, B) ____wcstoull_l_internal ((S), (E), (B), 0, loc) +#else +# define STRING_TYPE char +# define CHAR_TYPE char +# define L_(Ch) Ch +# define ISSPACE(Ch) isspace (Ch) +# define ISDIGIT(Ch) isdigit (Ch) +# define ISXDIGIT(Ch) isxdigit (Ch) +# define TOLOWER(Ch) tolower (Ch) +# define TOLOWER_C(Ch) \ + ({__typeof(Ch) __tlc = (Ch); \ + (__tlc >= 'A' && __tlc <= 'Z') ? __tlc - 'A' + 'a' : __tlc; }) +# define STRNCASECMP(S1, S2, N) \ + __quadmath_strncasecmp_c (S1, S2, N) +# ifdef HAVE_STRTOULL +# define STRTOULL(S, E, B) strtoull (S, E, B) +# else +# define STRTOULL(S, E, B) strtoul (S, E, B) +# endif + +static inline int +__quadmath_strncasecmp_c (const char *s1, const char *s2, size_t n) +{ + const unsigned char *p1 = (const unsigned char *) s1; + const unsigned char *p2 = (const unsigned char *) s2; + int result; + if (p1 == p2 || n == 0) + return 0; + while ((result = TOLOWER_C (*p1) - TOLOWER_C (*p2++)) == 0) + if (*p1++ == '\0' || --n == 0) + break; + + return result; +} +#endif + + +/* Constants we need from float.h; select the set for the FLOAT precision. */ +#define MANT_DIG PASTE(FLT,_MANT_DIG) +#define DIG PASTE(FLT,_DIG) +#define MAX_EXP PASTE(FLT,_MAX_EXP) +#define MIN_EXP PASTE(FLT,_MIN_EXP) +#define MAX_10_EXP PASTE(FLT,_MAX_10_EXP) +#define MIN_10_EXP PASTE(FLT,_MIN_10_EXP) + +/* Extra macros required to get FLT expanded before the pasting. */ +#define PASTE(a,b) PASTE1(a,b) +#define PASTE1(a,b) a##b + +/* Function to construct a floating point number from an MP integer + containing the fraction bits, a base 2 exponent, and a sign flag. */ +extern FLOAT MPN2FLOAT (mp_srcptr mpn, int exponent, int negative); + +/* Definitions according to limb size used. */ +#if BITS_PER_MP_LIMB == 32 +# define MAX_DIG_PER_LIMB 9 +# define MAX_FAC_PER_LIMB 1000000000UL +#elif BITS_PER_MP_LIMB == 64 +# define MAX_DIG_PER_LIMB 19 +# define MAX_FAC_PER_LIMB 10000000000000000000ULL +#else +# error "mp_limb_t size " BITS_PER_MP_LIMB "not accounted for" +#endif + +#define _tens_in_limb __quadmath_tens_in_limb +extern const mp_limb_t _tens_in_limb[MAX_DIG_PER_LIMB + 1] attribute_hidden; + +#ifndef howmany +#define howmany(x,y) (((x)+((y)-1))/(y)) +#endif +#define SWAP(x, y) ({ typeof(x) _tmp = x; x = y; y = _tmp; }) + +#define NDIG (MAX_10_EXP - MIN_10_EXP + 2 * MANT_DIG) +#define HEXNDIG ((MAX_EXP - MIN_EXP + 7) / 8 + 2 * MANT_DIG) +#define RETURN_LIMB_SIZE howmany (MANT_DIG, BITS_PER_MP_LIMB) + +#define RETURN(val,end) \ + do { if (endptr != NULL) *endptr = (STRING_TYPE *) (end); \ + return val; } while (0) + +/* Maximum size necessary for mpn integers to hold floating point numbers. */ +#define MPNSIZE (howmany (MAX_EXP + 2 * MANT_DIG, BITS_PER_MP_LIMB) \ + + 2) +/* Declare an mpn integer variable that big. */ +#define MPN_VAR(name) mp_limb_t name[MPNSIZE]; mp_size_t name##size +/* Copy an mpn integer value. */ +#define MPN_ASSIGN(dst, src) \ + memcpy (dst, src, (dst##size = src##size) * sizeof (mp_limb_t)) + + +/* Return a floating point number of the needed type according to the given + multi-precision number after possible rounding. */ +static FLOAT +round_and_return (mp_limb_t *retval, int exponent, int negative, + mp_limb_t round_limb, mp_size_t round_bit, int more_bits) +{ + if (exponent < MIN_EXP - 1) + { + mp_size_t shift = MIN_EXP - 1 - exponent; + + if (shift > MANT_DIG) + { +#if defined HAVE_ERRNO_H && defined EDOM + errno = EDOM; +#endif + return 0.0; + } + + more_bits |= (round_limb & ((((mp_limb_t) 1) << round_bit) - 1)) != 0; + if (shift == MANT_DIG) + /* This is a special case to handle the very seldom case where + the mantissa will be empty after the shift. */ + { + int i; + + round_limb = retval[RETURN_LIMB_SIZE - 1]; + round_bit = (MANT_DIG - 1) % BITS_PER_MP_LIMB; + for (i = 0; i < RETURN_LIMB_SIZE; ++i) + more_bits |= retval[i] != 0; + MPN_ZERO (retval, RETURN_LIMB_SIZE); + } + else if (shift >= BITS_PER_MP_LIMB) + { + int i; + + round_limb = retval[(shift - 1) / BITS_PER_MP_LIMB]; + round_bit = (shift - 1) % BITS_PER_MP_LIMB; + for (i = 0; i < (shift - 1) / BITS_PER_MP_LIMB; ++i) + more_bits |= retval[i] != 0; + more_bits |= ((round_limb & ((((mp_limb_t) 1) << round_bit) - 1)) + != 0); + + (void) mpn_rshift (retval, &retval[shift / BITS_PER_MP_LIMB], + RETURN_LIMB_SIZE - (shift / BITS_PER_MP_LIMB), + shift % BITS_PER_MP_LIMB); + MPN_ZERO (&retval[RETURN_LIMB_SIZE - (shift / BITS_PER_MP_LIMB)], + shift / BITS_PER_MP_LIMB); + } + else if (shift > 0) + { + round_limb = retval[0]; + round_bit = shift - 1; + (void) mpn_rshift (retval, retval, RETURN_LIMB_SIZE, shift); + } + /* This is a hook for the m68k long double format, where the + exponent bias is the same for normalized and denormalized + numbers. */ +#ifndef DENORM_EXP +# define DENORM_EXP (MIN_EXP - 2) +#endif + exponent = DENORM_EXP; +#if defined HAVE_ERRNO_H && defined ERANGE + errno = ERANGE; +#endif + } + + if ((round_limb & (((mp_limb_t) 1) << round_bit)) != 0 + && (more_bits || (retval[0] & 1) != 0 + || (round_limb & ((((mp_limb_t) 1) << round_bit) - 1)) != 0)) + { + mp_limb_t cy = mpn_add_1 (retval, retval, RETURN_LIMB_SIZE, 1); + + if (((MANT_DIG % BITS_PER_MP_LIMB) == 0 && cy) || + ((MANT_DIG % BITS_PER_MP_LIMB) != 0 && + (retval[RETURN_LIMB_SIZE - 1] + & (((mp_limb_t) 1) << (MANT_DIG % BITS_PER_MP_LIMB))) != 0)) + { + ++exponent; + (void) mpn_rshift (retval, retval, RETURN_LIMB_SIZE, 1); + retval[RETURN_LIMB_SIZE - 1] + |= ((mp_limb_t) 1) << ((MANT_DIG - 1) % BITS_PER_MP_LIMB); + } + else if (exponent == DENORM_EXP + && (retval[RETURN_LIMB_SIZE - 1] + & (((mp_limb_t) 1) << ((MANT_DIG - 1) % BITS_PER_MP_LIMB))) + != 0) + /* The number was denormalized but now normalized. */ + exponent = MIN_EXP - 1; + } + + if (exponent > MAX_EXP) + return negative ? -FLOAT_HUGE_VAL : FLOAT_HUGE_VAL; + + return MPN2FLOAT (retval, exponent, negative); +} + + +/* Read a multi-precision integer starting at STR with exactly DIGCNT digits + into N. Return the size of the number limbs in NSIZE at the first + character od the string that is not part of the integer as the function + value. If the EXPONENT is small enough to be taken as an additional + factor for the resulting number (see code) multiply by it. */ +static const STRING_TYPE * +str_to_mpn (const STRING_TYPE *str, int digcnt, mp_limb_t *n, mp_size_t *nsize, + int *exponent +#ifndef USE_WIDE_CHAR + , const char *decimal, size_t decimal_len, const char *thousands +#endif + + ) +{ + /* Number of digits for actual limb. */ + int cnt = 0; + mp_limb_t low = 0; + mp_limb_t start; + + *nsize = 0; + assert (digcnt > 0); + do + { + if (cnt == MAX_DIG_PER_LIMB) + { + if (*nsize == 0) + { + n[0] = low; + *nsize = 1; + } + else + { + mp_limb_t cy; + cy = mpn_mul_1 (n, n, *nsize, MAX_FAC_PER_LIMB); + cy += mpn_add_1 (n, n, *nsize, low); + if (cy != 0) + { + n[*nsize] = cy; + ++(*nsize); + } + } + cnt = 0; + low = 0; + } + + /* There might be thousands separators or radix characters in + the string. But these all can be ignored because we know the + format of the number is correct and we have an exact number + of characters to read. */ +#ifdef USE_WIDE_CHAR + if (*str < L'0' || *str > L'9') + ++str; +#else + if (*str < '0' || *str > '9') + { + int inner = 0; + if (thousands != NULL && *str == *thousands + && ({ for (inner = 1; thousands[inner] != '\0'; ++inner) + if (thousands[inner] != str[inner]) + break; + thousands[inner] == '\0'; })) + str += inner; + else + str += decimal_len; + } +#endif + low = low * 10 + *str++ - L_('0'); + ++cnt; + } + while (--digcnt > 0); + + if (*exponent > 0 && cnt + *exponent <= MAX_DIG_PER_LIMB) + { + low *= _tens_in_limb[*exponent]; + start = _tens_in_limb[cnt + *exponent]; + *exponent = 0; + } + else + start = _tens_in_limb[cnt]; + + if (*nsize == 0) + { + n[0] = low; + *nsize = 1; + } + else + { + mp_limb_t cy; + cy = mpn_mul_1 (n, n, *nsize, start); + cy += mpn_add_1 (n, n, *nsize, low); + if (cy != 0) + n[(*nsize)++] = cy; + } + + return str; +} + + +/* Shift {PTR, SIZE} COUNT bits to the left, and fill the vacated bits + with the COUNT most significant bits of LIMB. + + Tege doesn't like this function so I have to write it here myself. :) + --drepper */ +static inline void +__attribute ((always_inline)) +mpn_lshift_1 (mp_limb_t *ptr, mp_size_t size, unsigned int count, + mp_limb_t limb) +{ + if (__builtin_constant_p (count) && count == BITS_PER_MP_LIMB) + { + /* Optimize the case of shifting by exactly a word: + just copy words, with no actual bit-shifting. */ + mp_size_t i; + for (i = size - 1; i > 0; --i) + ptr[i] = ptr[i - 1]; + ptr[0] = limb; + } + else + { + (void) mpn_lshift (ptr, ptr, size, count); + ptr[0] |= limb >> (BITS_PER_MP_LIMB - count); + } +} + + +#define INTERNAL(x) INTERNAL1(x) +#define INTERNAL1(x) __##x##_internal +#ifndef ____STRTOF_INTERNAL +# define ____STRTOF_INTERNAL INTERNAL (__STRTOF) +#endif + +/* This file defines a function to check for correct grouping. */ +#include "grouping.h" + + +/* Return a floating point number with the value of the given string NPTR. + Set *ENDPTR to the character after the last used one. If the number is + smaller than the smallest representable number, set `errno' to ERANGE and + return 0.0. If the number is too big to be represented, set `errno' to + ERANGE and return HUGE_VAL with the appropriate sign. */ +FLOAT +____STRTOF_INTERNAL (nptr, endptr, group) + const STRING_TYPE *nptr; + STRING_TYPE **endptr; + int group; +{ + int negative; /* The sign of the number. */ + MPN_VAR (num); /* MP representation of the number. */ + int exponent; /* Exponent of the number. */ + + /* Numbers starting `0X' or `0x' have to be processed with base 16. */ + int base = 10; + + /* When we have to compute fractional digits we form a fraction with a + second multi-precision number (and we sometimes need a second for + temporary results). */ + MPN_VAR (den); + + /* Representation for the return value. */ + mp_limb_t retval[RETURN_LIMB_SIZE]; + /* Number of bits currently in result value. */ + int bits; + + /* Running pointer after the last character processed in the string. */ + const STRING_TYPE *cp, *tp; + /* Start of significant part of the number. */ + const STRING_TYPE *startp, *start_of_digits; + /* Points at the character following the integer and fractional digits. */ + const STRING_TYPE *expp; + /* Total number of digit and number of digits in integer part. */ + int dig_no, int_no, lead_zero; + /* Contains the last character read. */ + CHAR_TYPE c; + + /* The radix character of the current locale. */ +#ifdef USE_WIDE_CHAR + wchar_t decimal; +#else + const char *decimal; + size_t decimal_len; +#endif + /* The thousands character of the current locale. */ +#ifdef USE_WIDE_CHAR + wchar_t thousands = L'\0'; +#else + const char *thousands = NULL; +#endif + /* The numeric grouping specification of the current locale, + in the format described in <locale.h>. */ + const char *grouping; + /* Used in several places. */ + int cnt; + +#if defined USE_LOCALECONV && !defined USE_NL_LANGINFO + const struct lconv *lc = localeconv (); +#endif + + if (__builtin_expect (group, 0)) + { +#ifdef USE_NL_LANGINFO + grouping = nl_langinfo (GROUPING); + if (*grouping <= 0 || *grouping == CHAR_MAX) + grouping = NULL; + else + { + /* Figure out the thousands separator character. */ +#ifdef USE_WIDE_CHAR + thousands = nl_langinfo_wc (_NL_NUMERIC_THOUSANDS_SEP_WC); + if (thousands == L'\0') + grouping = NULL; +#else + thousands = nl_langinfo (THOUSANDS_SEP); + if (*thousands == '\0') + { + thousands = NULL; + grouping = NULL; + } +#endif + } +#elif defined USE_LOCALECONV + grouping = lc->grouping; + if (grouping == NULL || *grouping <= 0 || *grouping == CHAR_MAX) + grouping = NULL; + else + { + /* Figure out the thousands separator character. */ + thousands = lc->thousands_sep; + if (thousands == NULL || *thousands == '\0') + { + thousands = NULL; + grouping = NULL; + } + } +#else + grouping = NULL; +#endif + } + else + grouping = NULL; + + /* Find the locale's decimal point character. */ +#ifdef USE_WIDE_CHAR + decimal = nl_langinfo_wc (_NL_NUMERIC_DECIMAL_POINT_WC); + assert (decimal != L'\0'); +# define decimal_len 1 +#else +#ifdef USE_NL_LANGINFO + decimal = nl_langinfo (DECIMAL_POINT); + decimal_len = strlen (decimal); + assert (decimal_len > 0); +#elif defined USE_LOCALECONV + decimal = lc->decimal_point; + if (decimal == NULL || *decimal == '\0') + decimal = "."; + decimal_len = strlen (decimal); +#else + decimal = "."; + decimal_len = 1; +#endif +#endif + + /* Prepare number representation. */ + exponent = 0; + negative = 0; + bits = 0; + + /* Parse string to get maximal legal prefix. We need the number of + characters of the integer part, the fractional part and the exponent. */ + cp = nptr - 1; + /* Ignore leading white space. */ + do + c = *++cp; + while (ISSPACE (c)); + + /* Get sign of the result. */ + if (c == L_('-')) + { + negative = 1; + c = *++cp; + } + else if (c == L_('+')) + c = *++cp; + + /* Return 0.0 if no legal string is found. + No character is used even if a sign was found. */ +#ifdef USE_WIDE_CHAR + if (c == (wint_t) decimal + && (wint_t) cp[1] >= L'0' && (wint_t) cp[1] <= L'9') + { + /* We accept it. This funny construct is here only to indent + the code correctly. */ + } +#else + for (cnt = 0; decimal[cnt] != '\0'; ++cnt) + if (cp[cnt] != decimal[cnt]) + break; + if (decimal[cnt] == '\0' && cp[cnt] >= '0' && cp[cnt] <= '9') + { + /* We accept it. This funny construct is here only to indent + the code correctly. */ + } +#endif + else if (c < L_('0') || c > L_('9')) + { + /* Check for `INF' or `INFINITY'. */ + CHAR_TYPE lowc = TOLOWER_C (c); + + if (lowc == L_('i') && STRNCASECMP (cp, L_("inf"), 3) == 0) + { + /* Return +/- infinity. */ + if (endptr != NULL) + *endptr = (STRING_TYPE *) + (cp + (STRNCASECMP (cp + 3, L_("inity"), 5) == 0 + ? 8 : 3)); + + return negative ? -FLOAT_HUGE_VAL : FLOAT_HUGE_VAL; + } + + if (lowc == L_('n') && STRNCASECMP (cp, L_("nan"), 3) == 0) + { + /* Return NaN. */ + FLOAT retval = NAN; + + cp += 3; + + /* Match `(n-char-sequence-digit)'. */ + if (*cp == L_('(')) + { + const STRING_TYPE *startp = cp; + do + ++cp; + while ((*cp >= L_('0') && *cp <= L_('9')) + || ({ CHAR_TYPE lo = TOLOWER (*cp); + lo >= L_('a') && lo <= L_('z'); }) + || *cp == L_('_')); + + if (*cp != L_(')')) + /* The closing brace is missing. Only match the NAN + part. */ + cp = startp; + else + { + /* This is a system-dependent way to specify the + bitmask used for the NaN. We expect it to be + a number which is put in the mantissa of the + number. */ + STRING_TYPE *endp; + unsigned long long int mant; + + mant = STRTOULL (startp + 1, &endp, 0); + if (endp == cp) + SET_MANTISSA (retval, mant); + + /* Consume the closing brace. */ + ++cp; + } + } + + if (endptr != NULL) + *endptr = (STRING_TYPE *) cp; + + return retval; + } + + /* It is really a text we do not recognize. */ + RETURN (0.0, nptr); + } + + /* First look whether we are faced with a hexadecimal number. */ + if (c == L_('0') && TOLOWER (cp[1]) == L_('x')) + { + /* Okay, it is a hexa-decimal number. Remember this and skip + the characters. BTW: hexadecimal numbers must not be + grouped. */ + base = 16; + cp += 2; + c = *cp; + grouping = NULL; + } + + /* Record the start of the digits, in case we will check their grouping. */ + start_of_digits = startp = cp; + + /* Ignore leading zeroes. This helps us to avoid useless computations. */ +#ifdef USE_WIDE_CHAR + while (c == L'0' || ((wint_t) thousands != L'\0' && c == (wint_t) thousands)) + c = *++cp; +#else + if (__builtin_expect (thousands == NULL, 1)) + while (c == '0') + c = *++cp; + else + { + /* We also have the multibyte thousands string. */ + while (1) + { + if (c != '0') + { + for (cnt = 0; thousands[cnt] != '\0'; ++cnt) + if (thousands[cnt] != cp[cnt]) + break; + if (thousands[cnt] != '\0') + break; + cp += cnt - 1; + } + c = *++cp; + } + } +#endif + + /* If no other digit but a '0' is found the result is 0.0. + Return current read pointer. */ + CHAR_TYPE lowc = TOLOWER (c); + if (!((c >= L_('0') && c <= L_('9')) + || (base == 16 && lowc >= L_('a') && lowc <= L_('f')) + || ( +#ifdef USE_WIDE_CHAR + c == (wint_t) decimal +#else + ({ for (cnt = 0; decimal[cnt] != '\0'; ++cnt) + if (decimal[cnt] != cp[cnt]) + break; + decimal[cnt] == '\0'; }) +#endif + /* '0x.' alone is not a valid hexadecimal number. + '.' alone is not valid either, but that has been checked + already earlier. */ + && (base != 16 + || cp != start_of_digits + || (cp[decimal_len] >= L_('0') && cp[decimal_len] <= L_('9')) + || ({ CHAR_TYPE lo = TOLOWER (cp[decimal_len]); + lo >= L_('a') && lo <= L_('f'); }))) + || (base == 16 && (cp != start_of_digits + && lowc == L_('p'))) + || (base != 16 && lowc == L_('e')))) + { +#ifdef USE_WIDE_CHAR + tp = __correctly_grouped_prefixwc (start_of_digits, cp, thousands, + grouping); +#else + tp = __correctly_grouped_prefixmb (start_of_digits, cp, thousands, + grouping); +#endif + /* If TP is at the start of the digits, there was no correctly + grouped prefix of the string; so no number found. */ + RETURN (negative ? -0.0 : 0.0, + tp == start_of_digits ? (base == 16 ? cp - 1 : nptr) : tp); + } + + /* Remember first significant digit and read following characters until the + decimal point, exponent character or any non-FP number character. */ + startp = cp; + dig_no = 0; + while (1) + { + if ((c >= L_('0') && c <= L_('9')) + || (base == 16 + && ({ CHAR_TYPE lo = TOLOWER (c); + lo >= L_('a') && lo <= L_('f'); }))) + ++dig_no; + else + { +#ifdef USE_WIDE_CHAR + if (__builtin_expect ((wint_t) thousands == L'\0', 1) + || c != (wint_t) thousands) + /* Not a digit or separator: end of the integer part. */ + break; +#else + if (__builtin_expect (thousands == NULL, 1)) + break; + else + { + for (cnt = 0; thousands[cnt] != '\0'; ++cnt) + if (thousands[cnt] != cp[cnt]) + break; + if (thousands[cnt] != '\0') + break; + cp += cnt - 1; + } +#endif + } + c = *++cp; + } + + if (__builtin_expect (grouping != NULL, 0) && cp > start_of_digits) + { + /* Check the grouping of the digits. */ +#ifdef USE_WIDE_CHAR + tp = __correctly_grouped_prefixwc (start_of_digits, cp, thousands, + grouping); +#else + tp = __correctly_grouped_prefixmb (start_of_digits, cp, thousands, + grouping); +#endif + if (cp != tp) + { + /* Less than the entire string was correctly grouped. */ + + if (tp == start_of_digits) + /* No valid group of numbers at all: no valid number. */ + RETURN (0.0, nptr); + + if (tp < startp) + /* The number is validly grouped, but consists + only of zeroes. The whole value is zero. */ + RETURN (negative ? -0.0 : 0.0, tp); + + /* Recompute DIG_NO so we won't read more digits than + are properly grouped. */ + cp = tp; + dig_no = 0; + for (tp = startp; tp < cp; ++tp) + if (*tp >= L_('0') && *tp <= L_('9')) + ++dig_no; + + int_no = dig_no; + lead_zero = 0; + + goto number_parsed; + } + } + + /* We have the number of digits in the integer part. Whether these + are all or any is really a fractional digit will be decided + later. */ + int_no = dig_no; + lead_zero = int_no == 0 ? -1 : 0; + + /* Read the fractional digits. A special case are the 'american + style' numbers like `16.' i.e. with decimal point but without + trailing digits. */ + if ( +#ifdef USE_WIDE_CHAR + c == (wint_t) decimal +#else + ({ for (cnt = 0; decimal[cnt] != '\0'; ++cnt) + if (decimal[cnt] != cp[cnt]) + break; + decimal[cnt] == '\0'; }) +#endif + ) + { + cp += decimal_len; + c = *cp; + while ((c >= L_('0') && c <= L_('9')) || + (base == 16 && ({ CHAR_TYPE lo = TOLOWER (c); + lo >= L_('a') && lo <= L_('f'); }))) + { + if (c != L_('0') && lead_zero == -1) + lead_zero = dig_no - int_no; + ++dig_no; + c = *++cp; + } + } + + /* Remember start of exponent (if any). */ + expp = cp; + + /* Read exponent. */ + lowc = TOLOWER (c); + if ((base == 16 && lowc == L_('p')) + || (base != 16 && lowc == L_('e'))) + { + int exp_negative = 0; + + c = *++cp; + if (c == L_('-')) + { + exp_negative = 1; + c = *++cp; + } + else if (c == L_('+')) + c = *++cp; + + if (c >= L_('0') && c <= L_('9')) + { + int exp_limit; + + /* Get the exponent limit. */ + if (base == 16) + exp_limit = (exp_negative ? + -MIN_EXP + MANT_DIG + 4 * int_no : + MAX_EXP - 4 * int_no + 4 * lead_zero + 3); + else + exp_limit = (exp_negative ? + -MIN_10_EXP + MANT_DIG + int_no : + MAX_10_EXP - int_no + lead_zero + 1); + + do + { + exponent *= 10; + exponent += c - L_('0'); + + if (__builtin_expect (exponent > exp_limit, 0)) + /* The exponent is too large/small to represent a valid + number. */ + { + FLOAT result; + + /* We have to take care for special situation: a joker + might have written "0.0e100000" which is in fact + zero. */ + if (lead_zero == -1) + result = negative ? -0.0 : 0.0; + else + { + /* Overflow or underflow. */ +#if defined HAVE_ERRNO_H && defined ERANGE + errno = ERANGE; +#endif + result = (exp_negative ? (negative ? -0.0 : 0.0) : + negative ? -FLOAT_HUGE_VAL : FLOAT_HUGE_VAL); + } + + /* Accept all following digits as part of the exponent. */ + do + ++cp; + while (*cp >= L_('0') && *cp <= L_('9')); + + RETURN (result, cp); + /* NOTREACHED */ + } + + c = *++cp; + } + while (c >= L_('0') && c <= L_('9')); + + if (exp_negative) + exponent = -exponent; + } + else + cp = expp; + } + + /* We don't want to have to work with trailing zeroes after the radix. */ + if (dig_no > int_no) + { + while (expp[-1] == L_('0')) + { + --expp; + --dig_no; + } + assert (dig_no >= int_no); + } + + if (dig_no == int_no && dig_no > 0 && exponent < 0) + do + { + while (! (base == 16 ? ISXDIGIT (expp[-1]) : ISDIGIT (expp[-1]))) + --expp; + + if (expp[-1] != L_('0')) + break; + + --expp; + --dig_no; + --int_no; + exponent += base == 16 ? 4 : 1; + } + while (dig_no > 0 && exponent < 0); + + number_parsed: + + /* The whole string is parsed. Store the address of the next character. */ + if (endptr) + *endptr = (STRING_TYPE *) cp; + + if (dig_no == 0) + return negative ? -0.0 : 0.0; + + if (lead_zero) + { + /* Find the decimal point */ +#ifdef USE_WIDE_CHAR + while (*startp != decimal) + ++startp; +#else + while (1) + { + if (*startp == decimal[0]) + { + for (cnt = 1; decimal[cnt] != '\0'; ++cnt) + if (decimal[cnt] != startp[cnt]) + break; + if (decimal[cnt] == '\0') + break; + } + ++startp; + } +#endif + startp += lead_zero + decimal_len; + exponent -= base == 16 ? 4 * lead_zero : lead_zero; + dig_no -= lead_zero; + } + + /* If the BASE is 16 we can use a simpler algorithm. */ + if (base == 16) + { + static const int nbits[16] = { 0, 1, 2, 2, 3, 3, 3, 3, + 4, 4, 4, 4, 4, 4, 4, 4 }; + int idx = (MANT_DIG - 1) / BITS_PER_MP_LIMB; + int pos = (MANT_DIG - 1) % BITS_PER_MP_LIMB; + mp_limb_t val; + + while (!ISXDIGIT (*startp)) + ++startp; + while (*startp == L_('0')) + ++startp; + if (ISDIGIT (*startp)) + val = *startp++ - L_('0'); + else + val = 10 + TOLOWER (*startp++) - L_('a'); + bits = nbits[val]; + /* We cannot have a leading zero. */ + assert (bits != 0); + + if (pos + 1 >= 4 || pos + 1 >= bits) + { + /* We don't have to care for wrapping. This is the normal + case so we add the first clause in the `if' expression as + an optimization. It is a compile-time constant and so does + not cost anything. */ + retval[idx] = val << (pos - bits + 1); + pos -= bits; + } + else + { + retval[idx--] = val >> (bits - pos - 1); + retval[idx] = val << (BITS_PER_MP_LIMB - (bits - pos - 1)); + pos = BITS_PER_MP_LIMB - 1 - (bits - pos - 1); + } + + /* Adjust the exponent for the bits we are shifting in. */ + exponent += bits - 1 + (int_no - 1) * 4; + + while (--dig_no > 0 && idx >= 0) + { + if (!ISXDIGIT (*startp)) + startp += decimal_len; + if (ISDIGIT (*startp)) + val = *startp++ - L_('0'); + else + val = 10 + TOLOWER (*startp++) - L_('a'); + + if (pos + 1 >= 4) + { + retval[idx] |= val << (pos - 4 + 1); + pos -= 4; + } + else + { + retval[idx--] |= val >> (4 - pos - 1); + val <<= BITS_PER_MP_LIMB - (4 - pos - 1); + if (idx < 0) + return round_and_return (retval, exponent, negative, val, + BITS_PER_MP_LIMB - 1, dig_no > 0); + + retval[idx] = val; + pos = BITS_PER_MP_LIMB - 1 - (4 - pos - 1); + } + } + + /* We ran out of digits. */ + MPN_ZERO (retval, idx); + + return round_and_return (retval, exponent, negative, 0, 0, 0); + } + + /* Now we have the number of digits in total and the integer digits as well + as the exponent and its sign. We can decide whether the read digits are + really integer digits or belong to the fractional part; i.e. we normalize + 123e-2 to 1.23. */ + { + register int incr = (exponent < 0 ? MAX (-int_no, exponent) + : MIN (dig_no - int_no, exponent)); + int_no += incr; + exponent -= incr; + } + + if (__builtin_expect (int_no + exponent > MAX_10_EXP + 1, 0)) + { +#if defined HAVE_ERRNO_H && defined ERANGE + errno = ERANGE; +#endif + return negative ? -FLOAT_HUGE_VAL : FLOAT_HUGE_VAL; + } + + if (__builtin_expect (exponent < MIN_10_EXP - (DIG + 1), 0)) + { +#if defined HAVE_ERRNO_H && defined ERANGE + errno = ERANGE; +#endif + return negative ? -0.0 : 0.0; + } + + if (int_no > 0) + { + /* Read the integer part as a multi-precision number to NUM. */ + startp = str_to_mpn (startp, int_no, num, &numsize, &exponent +#ifndef USE_WIDE_CHAR + , decimal, decimal_len, thousands +#endif + ); + + if (exponent > 0) + { + /* We now multiply the gained number by the given power of ten. */ + mp_limb_t *psrc = num; + mp_limb_t *pdest = den; + int expbit = 1; + const struct mp_power *ttab = &_fpioconst_pow10[0]; + + do + { + if ((exponent & expbit) != 0) + { + size_t size = ttab->arraysize - _FPIO_CONST_OFFSET; + mp_limb_t cy; + exponent ^= expbit; + + /* FIXME: not the whole multiplication has to be + done. If we have the needed number of bits we + only need the information whether more non-zero + bits follow. */ + if (numsize >= ttab->arraysize - _FPIO_CONST_OFFSET) + cy = mpn_mul (pdest, psrc, numsize, + &__tens[ttab->arrayoff + + _FPIO_CONST_OFFSET], + size); + else + cy = mpn_mul (pdest, &__tens[ttab->arrayoff + + _FPIO_CONST_OFFSET], + size, psrc, numsize); + numsize += size; + if (cy == 0) + --numsize; + (void) SWAP (psrc, pdest); + } + expbit <<= 1; + ++ttab; + } + while (exponent != 0); + + if (psrc == den) + memcpy (num, den, numsize * sizeof (mp_limb_t)); + } + + /* Determine how many bits of the result we already have. */ + count_leading_zeros (bits, num[numsize - 1]); + bits = numsize * BITS_PER_MP_LIMB - bits; + + /* Now we know the exponent of the number in base two. + Check it against the maximum possible exponent. */ + if (__builtin_expect (bits > MAX_EXP, 0)) + { +#if defined HAVE_ERRNO_H && defined ERANGE + errno = ERANGE; +#endif + return negative ? -FLOAT_HUGE_VAL : FLOAT_HUGE_VAL; + } + + /* We have already the first BITS bits of the result. Together with + the information whether more non-zero bits follow this is enough + to determine the result. */ + if (bits > MANT_DIG) + { + int i; + const mp_size_t least_idx = (bits - MANT_DIG) / BITS_PER_MP_LIMB; + const mp_size_t least_bit = (bits - MANT_DIG) % BITS_PER_MP_LIMB; + const mp_size_t round_idx = least_bit == 0 ? least_idx - 1 + : least_idx; + const mp_size_t round_bit = least_bit == 0 ? BITS_PER_MP_LIMB - 1 + : least_bit - 1; + + if (least_bit == 0) + memcpy (retval, &num[least_idx], + RETURN_LIMB_SIZE * sizeof (mp_limb_t)); + else + { + for (i = least_idx; i < numsize - 1; ++i) + retval[i - least_idx] = (num[i] >> least_bit) + | (num[i + 1] + << (BITS_PER_MP_LIMB - least_bit)); + if (i - least_idx < RETURN_LIMB_SIZE) + retval[RETURN_LIMB_SIZE - 1] = num[i] >> least_bit; + } + + /* Check whether any limb beside the ones in RETVAL are non-zero. */ + for (i = 0; num[i] == 0; ++i) + ; + + return round_and_return (retval, bits - 1, negative, + num[round_idx], round_bit, + int_no < dig_no || i < round_idx); + /* NOTREACHED */ + } + else if (dig_no == int_no) + { + const mp_size_t target_bit = (MANT_DIG - 1) % BITS_PER_MP_LIMB; + const mp_size_t is_bit = (bits - 1) % BITS_PER_MP_LIMB; + + if (target_bit == is_bit) + { + memcpy (&retval[RETURN_LIMB_SIZE - numsize], num, + numsize * sizeof (mp_limb_t)); + /* FIXME: the following loop can be avoided if we assume a + maximal MANT_DIG value. */ + MPN_ZERO (retval, RETURN_LIMB_SIZE - numsize); + } + else if (target_bit > is_bit) + { + (void) mpn_lshift (&retval[RETURN_LIMB_SIZE - numsize], + num, numsize, target_bit - is_bit); + /* FIXME: the following loop can be avoided if we assume a + maximal MANT_DIG value. */ + MPN_ZERO (retval, RETURN_LIMB_SIZE - numsize); + } + else + { + mp_limb_t cy; + assert (numsize < RETURN_LIMB_SIZE); + + cy = mpn_rshift (&retval[RETURN_LIMB_SIZE - numsize], + num, numsize, is_bit - target_bit); + retval[RETURN_LIMB_SIZE - numsize - 1] = cy; + /* FIXME: the following loop can be avoided if we assume a + maximal MANT_DIG value. */ + MPN_ZERO (retval, RETURN_LIMB_SIZE - numsize - 1); + } + + return round_and_return (retval, bits - 1, negative, 0, 0, 0); + /* NOTREACHED */ + } + + /* Store the bits we already have. */ + memcpy (retval, num, numsize * sizeof (mp_limb_t)); +#if RETURN_LIMB_SIZE > 1 + if (numsize < RETURN_LIMB_SIZE) +# if RETURN_LIMB_SIZE == 2 + retval[numsize] = 0; +# else + MPN_ZERO (retval + numsize, RETURN_LIMB_SIZE - numsize); +# endif +#endif + } + + /* We have to compute at least some of the fractional digits. */ + { + /* We construct a fraction and the result of the division gives us + the needed digits. The denominator is 1.0 multiplied by the + exponent of the lowest digit; i.e. 0.123 gives 123 / 1000 and + 123e-6 gives 123 / 1000000. */ + + int expbit; + int neg_exp; + int more_bits; + mp_limb_t cy; + mp_limb_t *psrc = den; + mp_limb_t *pdest = num; + const struct mp_power *ttab = &_fpioconst_pow10[0]; + + assert (dig_no > int_no && exponent <= 0); + + + /* For the fractional part we need not process too many digits. One + decimal digits gives us log_2(10) ~ 3.32 bits. If we now compute + ceil(BITS / 3) =: N + digits we should have enough bits for the result. The remaining + decimal digits give us the information that more bits are following. + This can be used while rounding. (Two added as a safety margin.) */ + if (dig_no - int_no > (MANT_DIG - bits + 2) / 3 + 2) + { + dig_no = int_no + (MANT_DIG - bits + 2) / 3 + 2; + more_bits = 1; + } + else + more_bits = 0; + + neg_exp = dig_no - int_no - exponent; + + /* Construct the denominator. */ + densize = 0; + expbit = 1; + do + { + if ((neg_exp & expbit) != 0) + { + mp_limb_t cy; + neg_exp ^= expbit; + + if (densize == 0) + { + densize = ttab->arraysize - _FPIO_CONST_OFFSET; + memcpy (psrc, &__tens[ttab->arrayoff + _FPIO_CONST_OFFSET], + densize * sizeof (mp_limb_t)); + } + else + { + cy = mpn_mul (pdest, &__tens[ttab->arrayoff + + _FPIO_CONST_OFFSET], + ttab->arraysize - _FPIO_CONST_OFFSET, + psrc, densize); + densize += ttab->arraysize - _FPIO_CONST_OFFSET; + if (cy == 0) + --densize; + (void) SWAP (psrc, pdest); + } + } + expbit <<= 1; + ++ttab; + } + while (neg_exp != 0); + + if (psrc == num) + memcpy (den, num, densize * sizeof (mp_limb_t)); + + /* Read the fractional digits from the string. */ + (void) str_to_mpn (startp, dig_no - int_no, num, &numsize, &exponent +#ifndef USE_WIDE_CHAR + , decimal, decimal_len, thousands +#endif + ); + + /* We now have to shift both numbers so that the highest bit in the + denominator is set. In the same process we copy the numerator to + a high place in the array so that the division constructs the wanted + digits. This is done by a "quasi fix point" number representation. + + num: ddddddddddd . 0000000000000000000000 + |--- m ---| + den: ddddddddddd n >= m + |--- n ---| + */ + + count_leading_zeros (cnt, den[densize - 1]); + + if (cnt > 0) + { + /* Don't call `mpn_shift' with a count of zero since the specification + does not allow this. */ + (void) mpn_lshift (den, den, densize, cnt); + cy = mpn_lshift (num, num, numsize, cnt); + if (cy != 0) + num[numsize++] = cy; + } + + /* Now we are ready for the division. But it is not necessary to + do a full multi-precision division because we only need a small + number of bits for the result. So we do not use mpn_divmod + here but instead do the division here by hand and stop whenever + the needed number of bits is reached. The code itself comes + from the GNU MP Library by Torbj\"orn Granlund. */ + + exponent = bits; + + switch (densize) + { + case 1: + { + mp_limb_t d, n, quot; + int used = 0; + + n = num[0]; + d = den[0]; + assert (numsize == 1 && n < d); + + do + { + udiv_qrnnd (quot, n, n, 0, d); + +#define got_limb \ + if (bits == 0) \ + { \ + register int cnt; \ + if (quot == 0) \ + cnt = BITS_PER_MP_LIMB; \ + else \ + count_leading_zeros (cnt, quot); \ + exponent -= cnt; \ + if (BITS_PER_MP_LIMB - cnt > MANT_DIG) \ + { \ + used = MANT_DIG + cnt; \ + retval[0] = quot >> (BITS_PER_MP_LIMB - used); \ + bits = MANT_DIG + 1; \ + } \ + else \ + { \ + /* Note that we only clear the second element. */ \ + /* The conditional is determined at compile time. */ \ + if (RETURN_LIMB_SIZE > 1) \ + retval[1] = 0; \ + retval[0] = quot; \ + bits = -cnt; \ + } \ + } \ + else if (bits + BITS_PER_MP_LIMB <= MANT_DIG) \ + mpn_lshift_1 (retval, RETURN_LIMB_SIZE, BITS_PER_MP_LIMB, \ + quot); \ + else \ + { \ + used = MANT_DIG - bits; \ + if (used > 0) \ + mpn_lshift_1 (retval, RETURN_LIMB_SIZE, used, quot); \ + } \ + bits += BITS_PER_MP_LIMB + + got_limb; + } + while (bits <= MANT_DIG); + + return round_and_return (retval, exponent - 1, negative, + quot, BITS_PER_MP_LIMB - 1 - used, + more_bits || n != 0); + } + case 2: + { + mp_limb_t d0, d1, n0, n1; + mp_limb_t quot = 0; + int used = 0; + + d0 = den[0]; + d1 = den[1]; + + if (numsize < densize) + { + if (num[0] >= d1) + { + /* The numerator of the number occupies fewer bits than + the denominator but the one limb is bigger than the + high limb of the numerator. */ + n1 = 0; + n0 = num[0]; + } + else + { + if (bits <= 0) + exponent -= BITS_PER_MP_LIMB; + else + { + if (bits + BITS_PER_MP_LIMB <= MANT_DIG) + mpn_lshift_1 (retval, RETURN_LIMB_SIZE, + BITS_PER_MP_LIMB, 0); + else + { + used = MANT_DIG - bits; + if (used > 0) + mpn_lshift_1 (retval, RETURN_LIMB_SIZE, used, 0); + } + bits += BITS_PER_MP_LIMB; + } + n1 = num[0]; + n0 = 0; + } + } + else + { + n1 = num[1]; + n0 = num[0]; + } + + while (bits <= MANT_DIG) + { + mp_limb_t r; + + if (n1 == d1) + { + /* QUOT should be either 111..111 or 111..110. We need + special treatment of this rare case as normal division + would give overflow. */ + quot = ~(mp_limb_t) 0; + + r = n0 + d1; + if (r < d1) /* Carry in the addition? */ + { + add_ssaaaa (n1, n0, r - d0, 0, 0, d0); + goto have_quot; + } + n1 = d0 - (d0 != 0); + n0 = -d0; + } + else + { + udiv_qrnnd (quot, r, n1, n0, d1); + umul_ppmm (n1, n0, d0, quot); + } + + q_test: + if (n1 > r || (n1 == r && n0 > 0)) + { + /* The estimated QUOT was too large. */ + --quot; + + sub_ddmmss (n1, n0, n1, n0, 0, d0); + r += d1; + if (r >= d1) /* If not carry, test QUOT again. */ + goto q_test; + } + sub_ddmmss (n1, n0, r, 0, n1, n0); + + have_quot: + got_limb; + } + + return round_and_return (retval, exponent - 1, negative, + quot, BITS_PER_MP_LIMB - 1 - used, + more_bits || n1 != 0 || n0 != 0); + } + default: + { + int i; + mp_limb_t cy, dX, d1, n0, n1; + mp_limb_t quot = 0; + int used = 0; + + dX = den[densize - 1]; + d1 = den[densize - 2]; + + /* The division does not work if the upper limb of the two-limb + numerator is greater than the denominator. */ + if (mpn_cmp (num, &den[densize - numsize], numsize) > 0) + num[numsize++] = 0; + + if (numsize < densize) + { + mp_size_t empty = densize - numsize; + register int i; + + if (bits <= 0) + exponent -= empty * BITS_PER_MP_LIMB; + else + { + if (bits + empty * BITS_PER_MP_LIMB <= MANT_DIG) + { + /* We make a difference here because the compiler + cannot optimize the `else' case that good and + this reflects all currently used FLOAT types + and GMP implementations. */ +#if RETURN_LIMB_SIZE <= 2 + assert (empty == 1); + mpn_lshift_1 (retval, RETURN_LIMB_SIZE, + BITS_PER_MP_LIMB, 0); +#else + for (i = RETURN_LIMB_SIZE - 1; i >= empty; --i) + retval[i] = retval[i - empty]; + while (i >= 0) + retval[i--] = 0; +#endif + } + else + { + used = MANT_DIG - bits; + if (used >= BITS_PER_MP_LIMB) + { + register int i; + (void) mpn_lshift (&retval[used + / BITS_PER_MP_LIMB], + retval, + (RETURN_LIMB_SIZE + - used / BITS_PER_MP_LIMB), + used % BITS_PER_MP_LIMB); + for (i = used / BITS_PER_MP_LIMB - 1; i >= 0; --i) + retval[i] = 0; + } + else if (used > 0) + mpn_lshift_1 (retval, RETURN_LIMB_SIZE, used, 0); + } + bits += empty * BITS_PER_MP_LIMB; + } + for (i = numsize; i > 0; --i) + num[i + empty] = num[i - 1]; + MPN_ZERO (num, empty + 1); + } + else + { + int i; + assert (numsize == densize); + for (i = numsize; i > 0; --i) + num[i] = num[i - 1]; + } + + den[densize] = 0; + n0 = num[densize]; + + while (bits <= MANT_DIG) + { + if (n0 == dX) + /* This might over-estimate QUOT, but it's probably not + worth the extra code here to find out. */ + quot = ~(mp_limb_t) 0; + else + { + mp_limb_t r; + + udiv_qrnnd (quot, r, n0, num[densize - 1], dX); + umul_ppmm (n1, n0, d1, quot); + + while (n1 > r || (n1 == r && n0 > num[densize - 2])) + { + --quot; + r += dX; + if (r < dX) /* I.e. "carry in previous addition?" */ + break; + n1 -= n0 < d1; + n0 -= d1; + } + } + + /* Possible optimization: We already have (q * n0) and (1 * n1) + after the calculation of QUOT. Taking advantage of this, we + could make this loop make two iterations less. */ + + cy = mpn_submul_1 (num, den, densize + 1, quot); + + if (num[densize] != cy) + { + cy = mpn_add_n (num, num, den, densize); + assert (cy != 0); + --quot; + } + n0 = num[densize] = num[densize - 1]; + for (i = densize - 1; i > 0; --i) + num[i] = num[i - 1]; + + got_limb; + } + + for (i = densize; num[i] == 0 && i >= 0; --i) + ; + return round_and_return (retval, exponent - 1, negative, + quot, BITS_PER_MP_LIMB - 1 - used, + more_bits || i >= 0); + } + } + } + + /* NOTREACHED */ +} diff --git a/libquadmath/strtod/strtoflt128.c b/libquadmath/strtod/strtoflt128.c new file mode 100644 index 000000000..acdf36e9e --- /dev/null +++ b/libquadmath/strtod/strtoflt128.c @@ -0,0 +1,50 @@ +/* Copyright (C) 1999, 2004 Free Software Foundation, Inc. + This file is part of the GNU C Library. + + The GNU C Library is free software; you can redistribute it and/or + modify it under the terms of the GNU Lesser General Public + License as published by the Free Software Foundation; either + version 2.1 of the License, or (at your option) any later version. + + The GNU C Library is distributed in the hope that it will be useful, + but WITHOUT ANY WARRANTY; without even the implied warranty of + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + Lesser General Public License for more details. + + You should have received a copy of the GNU Lesser General Public + License along with the GNU C Library; if not, write to the Free + Software Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA + 02111-1307 USA. */ + +/* The actual implementation for all floating point sizes is in strtod.c. + These macros tell it to produce the `__float128' version, `strtold'. */ + +#define FLOAT __float128 +#define FLT FLT128 +#ifdef USE_WIDE_CHAR +# define STRTOF wcstoflt128 +# define __STRTOF __wcstoflt128 +#else +# define STRTOF strtoflt128 +# define __STRTOF __strtoflt128 +#endif +#define MPN2FLOAT mpn_construct_float128 +#define FLOAT_HUGE_VAL HUGE_VALQ +#define SET_MANTISSA(flt, mant) \ + do { ieee854_float128 u; \ + u.value = (flt); \ + u.ieee.mant_high = 0x800000000000ULL; \ + u.ieee.mant_low = mant; \ + (flt) = u.value; \ + } while (0) + +static inline __attribute__((__always_inline__)) +__float128 ____strtoflt128_internal (const char *, char **, int); + +#include "strtod_l.c" + +__float128 +strtoflt128 (const char *nptr, char **endptr) +{ + return ____STRTOF_INTERNAL (nptr, endptr, 0); +} diff --git a/libquadmath/strtod/tens_in_limb.c b/libquadmath/strtod/tens_in_limb.c new file mode 100644 index 000000000..b78a73e01 --- /dev/null +++ b/libquadmath/strtod/tens_in_limb.c @@ -0,0 +1,33 @@ +#include <config.h> +#include "../printf/gmp-impl.h" + + +/* Definitions according to limb size used. */ +#if BITS_PER_MP_LIMB == 32 +# define MAX_DIG_PER_LIMB 9 +# define MAX_FAC_PER_LIMB 1000000000UL +#elif BITS_PER_MP_LIMB == 64 +# define MAX_DIG_PER_LIMB 19 +# define MAX_FAC_PER_LIMB 10000000000000000000ULL +#else +# error "mp_limb_t size " BITS_PER_MP_LIMB "not accounted for" +#endif + + +/* Local data structure. */ +const mp_limb_t __quadmath_tens_in_limb[MAX_DIG_PER_LIMB + 1] attribute_hidden += +{ 0, 10, 100, + 1000, 10000, 100000L, + 1000000L, 10000000L, 100000000L, + 1000000000L +#if BITS_PER_MP_LIMB > 32 + , 10000000000ULL, 100000000000ULL, + 1000000000000ULL, 10000000000000ULL, 100000000000000ULL, + 1000000000000000ULL, 10000000000000000ULL, 100000000000000000ULL, + 1000000000000000000ULL, 10000000000000000000ULL +#endif +#if BITS_PER_MP_LIMB > 64 + #error "Need to expand tens_in_limb table to" MAX_DIG_PER_LIMB +#endif +}; |