| Index: fusl/src/math/atanh.c
|
| diff --git a/fusl/src/math/atanh.c b/fusl/src/math/atanh.c
|
| new file mode 100644
|
| index 0000000000000000000000000000000000000000..63a035d7063ae2d5df2c31728e10e5d471209c79
|
| --- /dev/null
|
| +++ b/fusl/src/math/atanh.c
|
| @@ -0,0 +1,29 @@
|
| +#include "libm.h"
|
| +
|
| +/* atanh(x) = log((1+x)/(1-x))/2 = log1p(2x/(1-x))/2 ~= x + x^3/3 + o(x^5) */
|
| +double atanh(double x)
|
| +{
|
| + union {double f; uint64_t i;} u = {.f = x};
|
| + unsigned e = u.i >> 52 & 0x7ff;
|
| + unsigned s = u.i >> 63;
|
| + double_t y;
|
| +
|
| + /* |x| */
|
| + u.i &= (uint64_t)-1/2;
|
| + y = u.f;
|
| +
|
| + if (e < 0x3ff - 1) {
|
| + if (e < 0x3ff - 32) {
|
| + /* handle underflow */
|
| + if (e == 0)
|
| + FORCE_EVAL((float)y);
|
| + } else {
|
| + /* |x| < 0.5, up to 1.7ulp error */
|
| + y = 0.5*log1p(2*y + 2*y*y/(1-y));
|
| + }
|
| + } else {
|
| + /* avoid overflow */
|
| + y = 0.5*log1p(2*(y/(1-y)));
|
| + }
|
| + return s ? -y : y;
|
| +}
|
|
|