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Diffstat (limited to 'libquadmath/math/sinq.c')
-rw-r--r-- | libquadmath/math/sinq.c | 82 |
1 files changed, 82 insertions, 0 deletions
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]); + } + } +} |