| Index: fusl/src/math/acosh.c
|
| diff --git a/fusl/src/math/acosh.c b/fusl/src/math/acosh.c
|
| new file mode 100644
|
| index 0000000000000000000000000000000000000000..badbf9081e644ff9df80bd2ae86cfc32e32a888b
|
| --- /dev/null
|
| +++ b/fusl/src/math/acosh.c
|
| @@ -0,0 +1,24 @@
|
| +#include "libm.h"
|
| +
|
| +#if FLT_EVAL_METHOD==2
|
| +#undef sqrt
|
| +#define sqrt sqrtl
|
| +#endif
|
| +
|
| +/* acosh(x) = log(x + sqrt(x*x-1)) */
|
| +double acosh(double x)
|
| +{
|
| + union {double f; uint64_t i;} u = {.f = x};
|
| + unsigned e = u.i >> 52 & 0x7ff;
|
| +
|
| + /* x < 1 domain error is handled in the called functions */
|
| +
|
| + if (e < 0x3ff + 1)
|
| + /* |x| < 2, up to 2ulp error in [1,1.125] */
|
| + return log1p(x-1 + sqrt((x-1)*(x-1)+2*(x-1)));
|
| + if (e < 0x3ff + 26)
|
| + /* |x| < 0x1p26 */
|
| + return log(2*x - 1/(x+sqrt(x*x-1)));
|
| + /* |x| >= 0x1p26 or nan */
|
| + return log(x) + 0.693147180559945309417232121458176568;
|
| +}
|
|
|