diff options
Diffstat (limited to 'libc-top-half/musl/src/math/atanhf.c')
-rw-r--r-- | libc-top-half/musl/src/math/atanhf.c | 28 |
1 files changed, 28 insertions, 0 deletions
diff --git a/libc-top-half/musl/src/math/atanhf.c b/libc-top-half/musl/src/math/atanhf.c new file mode 100644 index 0000000..65f07c0 --- /dev/null +++ b/libc-top-half/musl/src/math/atanhf.c @@ -0,0 +1,28 @@ +#include "libm.h" + +/* atanh(x) = log((1+x)/(1-x))/2 = log1p(2x/(1-x))/2 ~= x + x^3/3 + o(x^5) */ +float atanhf(float x) +{ + union {float f; uint32_t i;} u = {.f = x}; + unsigned s = u.i >> 31; + float_t y; + + /* |x| */ + u.i &= 0x7fffffff; + y = u.f; + + if (u.i < 0x3f800000 - (1<<23)) { + if (u.i < 0x3f800000 - (32<<23)) { + /* handle underflow */ + if (u.i < (1<<23)) + FORCE_EVAL((float)(y*y)); + } else { + /* |x| < 0.5, up to 1.7ulp error */ + y = 0.5f*log1pf(2*y + 2*y*y/(1-y)); + } + } else { + /* avoid overflow */ + y = 0.5f*log1pf(2*(y/(1-y))); + } + return s ? -y : y; +} |