diff options
| author | Kacper <kacper@mail.openlinux.dev> | 2025-12-09 19:20:15 +0100 |
|---|---|---|
| committer | Kacper <kacper@mail.openlinux.dev> | 2025-12-09 19:20:15 +0100 |
| commit | 885f5974cdf65b59415837ae97f5a14ef1350670 (patch) | |
| tree | 66ac13de29c7f4932c5fcae11773df574e4e256a /lib/libm/acosh.c | |
| parent | 8f9e448b2ef6db7cd905540c21f3c5b190e7a1e7 (diff) | |
feat: add gzip and new headers
Diffstat (limited to 'lib/libm/acosh.c')
| -rw-r--r-- | lib/libm/acosh.c | 27 |
1 files changed, 27 insertions, 0 deletions
diff --git a/lib/libm/acosh.c b/lib/libm/acosh.c new file mode 100644 index 00000000..a53e01ed --- /dev/null +++ b/lib/libm/acosh.c @@ -0,0 +1,27 @@ +#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; +} |
