/* origin: FreeBSD /usr/src/lib/msun/src/s_cosf.c */ /* * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com. * Optimized by Bruce D. Evans. */ /* * ==================================================== * 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 "libm.h" /* Small multiples of pi/2 rounded to double precision. */ static const double c1pio2 = 1*M_PI_2, /* 0x3FF921FB, 0x54442D18 */ c2pio2 = 2*M_PI_2, /* 0x400921FB, 0x54442D18 */ c3pio2 = 3*M_PI_2, /* 0x4012D97C, 0x7F3321D2 */ c4pio2 = 4*M_PI_2; /* 0x401921FB, 0x54442D18 */ float cosf(float x) { double y; uint32_t ix; unsigned n, sign; GET_FLOAT_WORD(ix, x); sign = ix >> 31; ix &= 0x7fffffff; if (ix <= 0x3f490fda) { /* |x| ~<= pi/4 */ if (ix < 0x39800000) { /* |x| < 2**-12 */ /* raise inexact if x != 0 */ FORCE_EVAL(x + 0x1p120f); return 1.0f; } return __cosdf(x); } if (ix <= 0x407b53d1) { /* |x| ~<= 5*pi/4 */ if (ix > 0x4016cbe3) /* |x| ~> 3*pi/4 */ return -__cosdf(sign ? x+c2pio2 : x-c2pio2); else { if (sign) return __sindf(x + c1pio2); else return __sindf(c1pio2 - x); } } if (ix <= 0x40e231d5) { /* |x| ~<= 9*pi/4 */ if (ix > 0x40afeddf) /* |x| ~> 7*pi/4 */ return __cosdf(sign ? x+c4pio2 : x-c4pio2); else { if (sign) return __sindf(-x - c3pio2); else return __sindf(x - c3pio2); } } /* cos(Inf or NaN) is NaN */ if (ix >= 0x7f800000) return x-x; /* general argument reduction needed */ n = __rem_pio2f(x,&y); switch (n&3) { case 0: return __cosdf(y); case 1: return __sindf(-y); case 2: return -__cosdf(y); default: return __sindf(y); } }