diff options
Diffstat (limited to 'lib/mlibc/options/ansi/musl-generic-math/acosh.c')
-rw-r--r-- | lib/mlibc/options/ansi/musl-generic-math/acosh.c | 24 |
1 files changed, 24 insertions, 0 deletions
diff --git a/lib/mlibc/options/ansi/musl-generic-math/acosh.c b/lib/mlibc/options/ansi/musl-generic-math/acosh.c new file mode 100644 index 0000000..badbf90 --- /dev/null +++ b/lib/mlibc/options/ansi/musl-generic-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; +} |