| Index: fusl/src/math/atanhl.c
|
| diff --git a/fusl/src/math/atanhl.c b/fusl/src/math/atanhl.c
|
| new file mode 100644
|
| index 0000000000000000000000000000000000000000..87cd1cdb5f325f01cf12d19594efbcead93472b1
|
| --- /dev/null
|
| +++ b/fusl/src/math/atanhl.c
|
| @@ -0,0 +1,35 @@
|
| +#include "libm.h"
|
| +
|
| +#if LDBL_MANT_DIG == 53 && LDBL_MAX_EXP == 1024
|
| +long double atanhl(long double x)
|
| +{
|
| + return atanh(x);
|
| +}
|
| +#elif (LDBL_MANT_DIG == 64 || LDBL_MANT_DIG == 113) && LDBL_MAX_EXP == 16384
|
| +/* atanh(x) = log((1+x)/(1-x))/2 = log1p(2x/(1-x))/2 ~= x + x^3/3 + o(x^5) */
|
| +long double atanhl(long double x)
|
| +{
|
| + union ldshape u = {x};
|
| + unsigned e = u.i.se & 0x7fff;
|
| + unsigned s = u.i.se >> 15;
|
| +
|
| + /* |x| */
|
| + u.i.se = e;
|
| + x = u.f;
|
| +
|
| + if (e < 0x3ff - 1) {
|
| + if (e < 0x3ff - LDBL_MANT_DIG/2) {
|
| + /* handle underflow */
|
| + if (e == 0)
|
| + FORCE_EVAL((float)x);
|
| + } else {
|
| + /* |x| < 0.5, up to 1.7ulp error */
|
| + x = 0.5*log1pl(2*x + 2*x*x/(1-x));
|
| + }
|
| + } else {
|
| + /* avoid overflow */
|
| + x = 0.5*log1pl(2*(x/(1-x)));
|
| + }
|
| + return s ? -x : x;
|
| +}
|
| +#endif
|
|
|