Index: fusl/src/math/log.c |
diff --git a/fusl/src/math/log.c b/fusl/src/math/log.c |
index e61e113d41af91f86d4482a979c84966be66fe33..c7e85a9a5906fb899f69a0d2b8c1f80ed0949df5 100644 |
--- a/fusl/src/math/log.c |
+++ b/fusl/src/math/log.c |
@@ -63,56 +63,57 @@ |
#include <math.h> |
#include <stdint.h> |
-static const double |
-ln2_hi = 6.93147180369123816490e-01, /* 3fe62e42 fee00000 */ |
-ln2_lo = 1.90821492927058770002e-10, /* 3dea39ef 35793c76 */ |
-Lg1 = 6.666666666666735130e-01, /* 3FE55555 55555593 */ |
-Lg2 = 3.999999999940941908e-01, /* 3FD99999 9997FA04 */ |
-Lg3 = 2.857142874366239149e-01, /* 3FD24924 94229359 */ |
-Lg4 = 2.222219843214978396e-01, /* 3FCC71C5 1D8E78AF */ |
-Lg5 = 1.818357216161805012e-01, /* 3FC74664 96CB03DE */ |
-Lg6 = 1.531383769920937332e-01, /* 3FC39A09 D078C69F */ |
-Lg7 = 1.479819860511658591e-01; /* 3FC2F112 DF3E5244 */ |
+static const double ln2_hi = 6.93147180369123816490e-01, /* 3fe62e42 fee00000 */ |
+ ln2_lo = 1.90821492927058770002e-10, /* 3dea39ef 35793c76 */ |
+ Lg1 = 6.666666666666735130e-01, /* 3FE55555 55555593 */ |
+ Lg2 = 3.999999999940941908e-01, /* 3FD99999 9997FA04 */ |
+ Lg3 = 2.857142874366239149e-01, /* 3FD24924 94229359 */ |
+ Lg4 = 2.222219843214978396e-01, /* 3FCC71C5 1D8E78AF */ |
+ Lg5 = 1.818357216161805012e-01, /* 3FC74664 96CB03DE */ |
+ Lg6 = 1.531383769920937332e-01, /* 3FC39A09 D078C69F */ |
+ Lg7 = 1.479819860511658591e-01; /* 3FC2F112 DF3E5244 */ |
-double log(double x) |
-{ |
- union {double f; uint64_t i;} u = {x}; |
- double_t hfsq,f,s,z,R,w,t1,t2,dk; |
- uint32_t hx; |
- int k; |
+double log(double x) { |
+ union { |
+ double f; |
+ uint64_t i; |
+ } u = {x}; |
+ double_t hfsq, f, s, z, R, w, t1, t2, dk; |
+ uint32_t hx; |
+ int k; |
- hx = u.i>>32; |
- k = 0; |
- if (hx < 0x00100000 || hx>>31) { |
- if (u.i<<1 == 0) |
- return -1/(x*x); /* log(+-0)=-inf */ |
- if (hx>>31) |
- return (x-x)/0.0; /* log(-#) = NaN */ |
- /* subnormal number, scale x up */ |
- k -= 54; |
- x *= 0x1p54; |
- u.f = x; |
- hx = u.i>>32; |
- } else if (hx >= 0x7ff00000) { |
- return x; |
- } else if (hx == 0x3ff00000 && u.i<<32 == 0) |
- return 0; |
+ hx = u.i >> 32; |
+ k = 0; |
+ if (hx < 0x00100000 || hx >> 31) { |
+ if (u.i << 1 == 0) |
+ return -1 / (x * x); /* log(+-0)=-inf */ |
+ if (hx >> 31) |
+ return (x - x) / 0.0; /* log(-#) = NaN */ |
+ /* subnormal number, scale x up */ |
+ k -= 54; |
+ x *= 0x1p54; |
+ u.f = x; |
+ hx = u.i >> 32; |
+ } else if (hx >= 0x7ff00000) { |
+ return x; |
+ } else if (hx == 0x3ff00000 && u.i << 32 == 0) |
+ return 0; |
- /* reduce x into [sqrt(2)/2, sqrt(2)] */ |
- hx += 0x3ff00000 - 0x3fe6a09e; |
- k += (int)(hx>>20) - 0x3ff; |
- hx = (hx&0x000fffff) + 0x3fe6a09e; |
- u.i = (uint64_t)hx<<32 | (u.i&0xffffffff); |
- x = u.f; |
+ /* reduce x into [sqrt(2)/2, sqrt(2)] */ |
+ hx += 0x3ff00000 - 0x3fe6a09e; |
+ k += (int)(hx >> 20) - 0x3ff; |
+ hx = (hx & 0x000fffff) + 0x3fe6a09e; |
+ u.i = (uint64_t)hx << 32 | (u.i & 0xffffffff); |
+ x = u.f; |
- f = x - 1.0; |
- hfsq = 0.5*f*f; |
- s = f/(2.0+f); |
- z = s*s; |
- w = z*z; |
- t1 = w*(Lg2+w*(Lg4+w*Lg6)); |
- t2 = z*(Lg1+w*(Lg3+w*(Lg5+w*Lg7))); |
- R = t2 + t1; |
- dk = k; |
- return s*(hfsq+R) + dk*ln2_lo - hfsq + f + dk*ln2_hi; |
+ f = x - 1.0; |
+ hfsq = 0.5 * f * f; |
+ s = f / (2.0 + f); |
+ z = s * s; |
+ w = z * z; |
+ t1 = w * (Lg2 + w * (Lg4 + w * Lg6)); |
+ t2 = z * (Lg1 + w * (Lg3 + w * (Lg5 + w * Lg7))); |
+ R = t2 + t1; |
+ dk = k; |
+ return s * (hfsq + R) + dk * ln2_lo - hfsq + f + dk * ln2_hi; |
} |