| Index: fusl/src/math/log1pf.c
|
| diff --git a/fusl/src/math/log1pf.c b/fusl/src/math/log1pf.c
|
| new file mode 100644
|
| index 0000000000000000000000000000000000000000..23985c35675842d925bbc3c1475bd419926e0fda
|
| --- /dev/null
|
| +++ b/fusl/src/math/log1pf.c
|
| @@ -0,0 +1,77 @@
|
| +/* origin: FreeBSD /usr/src/lib/msun/src/s_log1pf.c */
|
| +/*
|
| + * ====================================================
|
| + * 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"
|
| +
|
| +static const float
|
| +ln2_hi = 6.9313812256e-01, /* 0x3f317180 */
|
| +ln2_lo = 9.0580006145e-06, /* 0x3717f7d1 */
|
| +/* |(log(1+s)-log(1-s))/s - Lg(s)| < 2**-34.24 (~[-4.95e-11, 4.97e-11]). */
|
| +Lg1 = 0xaaaaaa.0p-24, /* 0.66666662693 */
|
| +Lg2 = 0xccce13.0p-25, /* 0.40000972152 */
|
| +Lg3 = 0x91e9ee.0p-25, /* 0.28498786688 */
|
| +Lg4 = 0xf89e26.0p-26; /* 0.24279078841 */
|
| +
|
| +float log1pf(float x)
|
| +{
|
| + union {float f; uint32_t i;} u = {x};
|
| + float_t hfsq,f,c,s,z,R,w,t1,t2,dk;
|
| + uint32_t ix,iu;
|
| + int k;
|
| +
|
| + ix = u.i;
|
| + k = 1;
|
| + if (ix < 0x3ed413d0 || ix>>31) { /* 1+x < sqrt(2)+ */
|
| + if (ix >= 0xbf800000) { /* x <= -1.0 */
|
| + if (x == -1)
|
| + return x/0.0f; /* log1p(-1)=+inf */
|
| + return (x-x)/0.0f; /* log1p(x<-1)=NaN */
|
| + }
|
| + if (ix<<1 < 0x33800000<<1) { /* |x| < 2**-24 */
|
| + /* underflow if subnormal */
|
| + if ((ix&0x7f800000) == 0)
|
| + FORCE_EVAL(x*x);
|
| + return x;
|
| + }
|
| + if (ix <= 0xbe95f619) { /* sqrt(2)/2- <= 1+x < sqrt(2)+ */
|
| + k = 0;
|
| + c = 0;
|
| + f = x;
|
| + }
|
| + } else if (ix >= 0x7f800000)
|
| + return x;
|
| + if (k) {
|
| + u.f = 1 + x;
|
| + iu = u.i;
|
| + iu += 0x3f800000 - 0x3f3504f3;
|
| + k = (int)(iu>>23) - 0x7f;
|
| + /* correction term ~ log(1+x)-log(u), avoid underflow in c/u */
|
| + if (k < 25) {
|
| + c = k >= 2 ? 1-(u.f-x) : x-(u.f-1);
|
| + c /= u.f;
|
| + } else
|
| + c = 0;
|
| + /* reduce u into [sqrt(2)/2, sqrt(2)] */
|
| + iu = (iu&0x007fffff) + 0x3f3504f3;
|
| + u.i = iu;
|
| + f = u.f - 1;
|
| + }
|
| + s = f/(2.0f + f);
|
| + z = s*s;
|
| + w = z*z;
|
| + t1= w*(Lg2+w*Lg4);
|
| + t2= z*(Lg1+w*Lg3);
|
| + R = t2 + t1;
|
| + hfsq = 0.5f*f*f;
|
| + dk = k;
|
| + return s*(hfsq+R) + (dk*ln2_lo+c) - hfsq + f + dk*ln2_hi;
|
| +}
|
|
|