| Index: fusl/src/math/log2f.c
|
| diff --git a/fusl/src/math/log2f.c b/fusl/src/math/log2f.c
|
| index b3e305fe2a629f13a6967444d1d875289b430a0f..1e7e75a4e7a1fd606e8343edd51c2d20dac045eb 100644
|
| --- a/fusl/src/math/log2f.c
|
| +++ b/fusl/src/math/log2f.c
|
| @@ -16,59 +16,60 @@
|
| #include <math.h>
|
| #include <stdint.h>
|
|
|
| -static const float
|
| -ivln2hi = 1.4428710938e+00, /* 0x3fb8b000 */
|
| -ivln2lo = -1.7605285393e-04, /* 0xb9389ad4 */
|
| -/* |(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 */
|
| +static const float ivln2hi = 1.4428710938e+00, /* 0x3fb8b000 */
|
| + ivln2lo = -1.7605285393e-04, /* 0xb9389ad4 */
|
| + /* |(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 log2f(float x)
|
| -{
|
| - union {float f; uint32_t i;} u = {x};
|
| - float_t hfsq,f,s,z,R,w,t1,t2,hi,lo;
|
| - uint32_t ix;
|
| - int k;
|
| +float log2f(float x) {
|
| + union {
|
| + float f;
|
| + uint32_t i;
|
| + } u = {x};
|
| + float_t hfsq, f, s, z, R, w, t1, t2, hi, lo;
|
| + uint32_t ix;
|
| + int k;
|
|
|
| - ix = u.i;
|
| - k = 0;
|
| - if (ix < 0x00800000 || ix>>31) { /* x < 2**-126 */
|
| - if (ix<<1 == 0)
|
| - return -1/(x*x); /* log(+-0)=-inf */
|
| - if (ix>>31)
|
| - return (x-x)/0.0f; /* log(-#) = NaN */
|
| - /* subnormal number, scale up x */
|
| - k -= 25;
|
| - x *= 0x1p25f;
|
| - u.f = x;
|
| - ix = u.i;
|
| - } else if (ix >= 0x7f800000) {
|
| - return x;
|
| - } else if (ix == 0x3f800000)
|
| - return 0;
|
| + ix = u.i;
|
| + k = 0;
|
| + if (ix < 0x00800000 || ix >> 31) { /* x < 2**-126 */
|
| + if (ix << 1 == 0)
|
| + return -1 / (x * x); /* log(+-0)=-inf */
|
| + if (ix >> 31)
|
| + return (x - x) / 0.0f; /* log(-#) = NaN */
|
| + /* subnormal number, scale up x */
|
| + k -= 25;
|
| + x *= 0x1p25f;
|
| + u.f = x;
|
| + ix = u.i;
|
| + } else if (ix >= 0x7f800000) {
|
| + return x;
|
| + } else if (ix == 0x3f800000)
|
| + return 0;
|
|
|
| - /* reduce x into [sqrt(2)/2, sqrt(2)] */
|
| - ix += 0x3f800000 - 0x3f3504f3;
|
| - k += (int)(ix>>23) - 0x7f;
|
| - ix = (ix&0x007fffff) + 0x3f3504f3;
|
| - u.i = ix;
|
| - x = u.f;
|
| + /* reduce x into [sqrt(2)/2, sqrt(2)] */
|
| + ix += 0x3f800000 - 0x3f3504f3;
|
| + k += (int)(ix >> 23) - 0x7f;
|
| + ix = (ix & 0x007fffff) + 0x3f3504f3;
|
| + u.i = ix;
|
| + x = u.f;
|
|
|
| - f = x - 1.0f;
|
| - 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;
|
| + f = x - 1.0f;
|
| + 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;
|
|
|
| - hi = f - hfsq;
|
| - u.f = hi;
|
| - u.i &= 0xfffff000;
|
| - hi = u.f;
|
| - lo = f - hi - hfsq + s*(hfsq+R);
|
| - return (lo+hi)*ivln2lo + lo*ivln2hi + hi*ivln2hi + k;
|
| + hi = f - hfsq;
|
| + u.f = hi;
|
| + u.i &= 0xfffff000;
|
| + hi = u.f;
|
| + lo = f - hi - hfsq + s * (hfsq + R);
|
| + return (lo + hi) * ivln2lo + lo * ivln2hi + hi * ivln2hi + k;
|
| }
|
|
|