| OLD | NEW |
| 1 #include "libm.h" | 1 #include "libm.h" |
| 2 | 2 |
| 3 /* atanh(x) = log((1+x)/(1-x))/2 = log1p(2x/(1-x))/2 ~= x + x^3/3 + o(x^5) */ | 3 /* atanh(x) = log((1+x)/(1-x))/2 = log1p(2x/(1-x))/2 ~= x + x^3/3 + o(x^5) */ |
| 4 float atanhf(float x) | 4 float atanhf(float x) { |
| 5 { | 5 union { |
| 6 » union {float f; uint32_t i;} u = {.f = x}; | 6 float f; |
| 7 » unsigned s = u.i >> 31; | 7 uint32_t i; |
| 8 » float_t y; | 8 } u = {.f = x}; |
| 9 unsigned s = u.i >> 31; |
| 10 float_t y; |
| 9 | 11 |
| 10 » /* |x| */ | 12 /* |x| */ |
| 11 » u.i &= 0x7fffffff; | 13 u.i &= 0x7fffffff; |
| 12 » y = u.f; | 14 y = u.f; |
| 13 | 15 |
| 14 » if (u.i < 0x3f800000 - (1<<23)) { | 16 if (u.i < 0x3f800000 - (1 << 23)) { |
| 15 » » if (u.i < 0x3f800000 - (32<<23)) { | 17 if (u.i < 0x3f800000 - (32 << 23)) { |
| 16 » » » /* handle underflow */ | 18 /* handle underflow */ |
| 17 » » » if (u.i < (1<<23)) | 19 if (u.i < (1 << 23)) |
| 18 » » » » FORCE_EVAL((float)(y*y)); | 20 FORCE_EVAL((float)(y * y)); |
| 19 » » } else { | 21 } else { |
| 20 » » » /* |x| < 0.5, up to 1.7ulp error */ | 22 /* |x| < 0.5, up to 1.7ulp error */ |
| 21 » » » y = 0.5f*log1pf(2*y + 2*y*y/(1-y)); | 23 y = 0.5f * log1pf(2 * y + 2 * y * y / (1 - y)); |
| 22 » » } | 24 } |
| 23 » } else { | 25 } else { |
| 24 » » /* avoid overflow */ | 26 /* avoid overflow */ |
| 25 » » y = 0.5f*log1pf(2*(y/(1-y))); | 27 y = 0.5f * log1pf(2 * (y / (1 - y))); |
| 26 » } | 28 } |
| 27 » return s ? -y : y; | 29 return s ? -y : y; |
| 28 } | 30 } |
| OLD | NEW |