X-Git-Url: http://nsz.repo.hu/git/?a=blobdiff_plain;f=src%2Fmath%2F__rem_pio2f.c;h=e67656431a825480c779fd08ab0735f1a6a63572;hb=0a7b4323b0f2b944dbd47a813c0c6e6813e7fd67;hp=965dc46ac53a01b0a5dc05b4a2d82efda6f23ad5;hpb=b69f695acedd4ce2798ef9ea28d834ceccc789bd;p=musl diff --git a/src/math/__rem_pio2f.c b/src/math/__rem_pio2f.c index 965dc46a..e6765643 100644 --- a/src/math/__rem_pio2f.c +++ b/src/math/__rem_pio2f.c @@ -22,54 +22,62 @@ #include "libm.h" +#if FLT_EVAL_METHOD==0 || FLT_EVAL_METHOD==1 +#define EPS DBL_EPSILON +#elif FLT_EVAL_METHOD==2 +#define EPS LDBL_EPSILON +#endif + /* * invpio2: 53 bits of 2/pi - * pio2_1: first 33 bit of pi/2 + * pio2_1: first 25 bits of pi/2 * pio2_1t: pi/2 - pio2_1 */ static const double +toint = 1.5/EPS, +pio4 = 0x1.921fb6p-1, invpio2 = 6.36619772367581382433e-01, /* 0x3FE45F30, 0x6DC9C883 */ pio2_1 = 1.57079631090164184570e+00, /* 0x3FF921FB, 0x50000000 */ pio2_1t = 1.58932547735281966916e-08; /* 0x3E5110b4, 0x611A6263 */ int __rem_pio2f(float x, double *y) { - double w,r,fn; + union {float f; uint32_t i;} u = {x}; double tx[1],ty[1]; - float z; - int32_t e0,n,ix,hx; + double_t fn; + uint32_t ix; + int n, sign, e0; - GET_FLOAT_WORD(hx, x); - ix = hx & 0x7fffffff; - /* 33+53 bit pi is good enough for medium size */ + ix = u.i & 0x7fffffff; + /* 25+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; -// FIXME -#ifdef HAVE_EFFICIENT_IRINT - n = irint(fn); -#else + /* Use a specialized rint() to get fn. */ + fn = (double_t)x*invpio2 + toint - toint; n = (int32_t)fn; -#endif - r = x - fn*pio2_1; - w = fn*pio2_1t; - *y = r - w; + *y = x - fn*pio2_1 - fn*pio2_1t; + /* Matters with directed rounding. */ + if (predict_false(*y < -pio4)) { + n--; + fn--; + *y = x - fn*pio2_1 - fn*pio2_1t; + } else if (predict_false(*y > pio4)) { + n++; + fn++; + *y = x - fn*pio2_1 - fn*pio2_1t; + } 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; + /* scale x into [2^23, 2^24-1] */ + sign = u.i>>31; + e0 = (ix>>23) - (0x7f+23); /* e0 = ilogb(|x|)-23, positive */ + u.i = ix - (e0<<23); + tx[0] = u.f; n = __rem_pio2_large(tx,ty,e0,1,0); - if (hx < 0) { + if (sign) { *y = -ty[0]; return -n; }