| Index: fusl/src/math/__rem_pio2f.c
|
| diff --git a/fusl/src/math/__rem_pio2f.c b/fusl/src/math/__rem_pio2f.c
|
| new file mode 100644
|
| index 0000000000000000000000000000000000000000..4473c1c420e922167814e2602eb889be62d2b283
|
| --- /dev/null
|
| +++ b/fusl/src/math/__rem_pio2f.c
|
| @@ -0,0 +1,75 @@
|
| +/* origin: FreeBSD /usr/src/lib/msun/src/e_rem_pio2f.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.
|
| + * ====================================================
|
| + */
|
| +/* __rem_pio2f(x,y)
|
| + *
|
| + * return the remainder of x rem pi/2 in *y
|
| + * use double precision for everything except passing x
|
| + * use __rem_pio2_large() for large x
|
| + */
|
| +
|
| +#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 25 bits of pi/2
|
| + * pio2_1t: pi/2 - pio2_1
|
| + */
|
| +static const double
|
| +toint = 1.5/EPS,
|
| +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)
|
| +{
|
| + union {float f; uint32_t i;} u = {x};
|
| + double tx[1],ty[1];
|
| + double_t fn;
|
| + uint32_t ix;
|
| + int n, sign, e0;
|
| +
|
| + 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. */
|
| + fn = (double_t)x*invpio2 + toint - toint;
|
| + n = (int32_t)fn;
|
| + *y = x - fn*pio2_1 - fn*pio2_1t;
|
| + return n;
|
| + }
|
| + if(ix>=0x7f800000) { /* x is inf or NaN */
|
| + *y = x-x;
|
| + return 0;
|
| + }
|
| + /* 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 (sign) {
|
| + *y = -ty[0];
|
| + return -n;
|
| + }
|
| + *y = ty[0];
|
| + return n;
|
| +}
|
|
|