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Current File : //compat/linux/proc/self/root/usr/src/lib/msun/src/e_rem_pio2f.c |
/* e_rem_pio2f.c -- float version of e_rem_pio2.c * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com. * Debugged and 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 <sys/cdefs.h> __FBSDID("$FreeBSD: release/9.1.0/lib/msun/src/e_rem_pio2f.c 193368 2009-06-03 08:16:34Z ed $"); /* __ieee754_rem_pio2f(x,y) * * return the remainder of x rem pi/2 in *y * use double precision for everything except passing x * use __kernel_rem_pio2() for large x */ #include <float.h> #include "math.h" #include "math_private.h" /* * invpio2: 53 bits of 2/pi * pio2_1: first 33 bit of pi/2 * pio2_1t: pi/2 - pio2_1 */ static const double invpio2 = 6.36619772367581382433e-01, /* 0x3FE45F30, 0x6DC9C883 */ pio2_1 = 1.57079631090164184570e+00, /* 0x3FF921FB, 0x50000000 */ pio2_1t = 1.58932547735281966916e-08; /* 0x3E5110b4, 0x611A6263 */ #ifndef INLINE_REM_PIO2F extern #endif __inline int __ieee754_rem_pio2f(float x, double *y) { double w,r,fn; double tx[1],ty[1]; float z; int32_t e0,n,ix,hx; GET_FLOAT_WORD(hx,x); ix = hx&0x7fffffff; /* 33+53 bit pi is good enough for medium size */ if(ix<0x4dc90fdb) { /* |x| ~< 2^28*(pi/2), medium size */ /* Use a specialized rint() to get fn. Assume round-to-nearest. */ STRICT_ASSIGN(double,fn,x*invpio2+0x1.8p52); fn = fn-0x1.8p52; #ifdef HAVE_EFFICIENT_IRINT n = irint(fn); #else n = (int32_t)fn; #endif r = x-fn*pio2_1; w = fn*pio2_1t; *y = r-w; return n; } /* * all other (large) arguments */ if(ix>=0x7f800000) { /* x is inf or NaN */ *y=x-x; return 0; } /* set z = scalbn(|x|,ilogb(|x|)-23) */ e0 = (ix>>23)-150; /* e0 = ilogb(|x|)-23; */ SET_FLOAT_WORD(z, ix - ((int32_t)(e0<<23))); tx[0] = z; n = __kernel_rem_pio2(tx,ty,e0,1,0); if(hx<0) {*y = -ty[0]; return -n;} *y = ty[0]; return n; }