| Index: fusl/src/math/asinhf.c
|
| diff --git a/fusl/src/math/asinhf.c b/fusl/src/math/asinhf.c
|
| new file mode 100644
|
| index 0000000000000000000000000000000000000000..fc9f0911bf67fa1515234eeb4137142fadafab6e
|
| --- /dev/null
|
| +++ b/fusl/src/math/asinhf.c
|
| @@ -0,0 +1,28 @@
|
| +#include "libm.h"
|
| +
|
| +/* asinh(x) = sign(x)*log(|x|+sqrt(x*x+1)) ~= x - x^3/6 + o(x^5) */
|
| +float asinhf(float x)
|
| +{
|
| + union {float f; uint32_t i;} u = {.f = x};
|
| + uint32_t i = u.i & 0x7fffffff;
|
| + unsigned s = u.i >> 31;
|
| +
|
| + /* |x| */
|
| + u.i = i;
|
| + x = u.f;
|
| +
|
| + if (i >= 0x3f800000 + (12<<23)) {
|
| + /* |x| >= 0x1p12 or inf or nan */
|
| + x = logf(x) + 0.693147180559945309417232121458176568f;
|
| + } else if (i >= 0x3f800000 + (1<<23)) {
|
| + /* |x| >= 2 */
|
| + x = logf(2*x + 1/(sqrtf(x*x+1)+x));
|
| + } else if (i >= 0x3f800000 - (12<<23)) {
|
| + /* |x| >= 0x1p-12, up to 1.6ulp error in [0.125,0.5] */
|
| + x = log1pf(x + x*x/(sqrtf(x*x+1)+1));
|
| + } else {
|
| + /* |x| < 0x1p-12, raise inexact if x!=0 */
|
| + FORCE_EVAL(x + 0x1p120f);
|
| + }
|
| + return s ? -x : x;
|
| +}
|
|
|