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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

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ADDENDUM: How to use this License for your documents
====================================================

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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