diff options
Diffstat (limited to 'lib/mlibc/options/ansi/musl-generic-math/cosh.c')
-rw-r--r-- | lib/mlibc/options/ansi/musl-generic-math/cosh.c | 40 |
1 files changed, 40 insertions, 0 deletions
diff --git a/lib/mlibc/options/ansi/musl-generic-math/cosh.c b/lib/mlibc/options/ansi/musl-generic-math/cosh.c new file mode 100644 index 0000000..100f823 --- /dev/null +++ b/lib/mlibc/options/ansi/musl-generic-math/cosh.c @@ -0,0 +1,40 @@ +#include "libm.h" + +/* cosh(x) = (exp(x) + 1/exp(x))/2 + * = 1 + 0.5*(exp(x)-1)*(exp(x)-1)/exp(x) + * = 1 + x*x/2 + o(x^4) + */ +double cosh(double x) +{ + union {double f; uint64_t i;} u = {.f = x}; + uint32_t w; + double t; + + /* |x| */ + u.i &= (uint64_t)-1/2; + x = u.f; + w = u.i >> 32; + + /* |x| < log(2) */ + if (w < 0x3fe62e42) { + if (w < 0x3ff00000 - (26<<20)) { + /* raise inexact if x!=0 */ + FORCE_EVAL(x + 0x1p120f); + return 1; + } + t = expm1(x); + return 1 + t*t/(2*(1+t)); + } + + /* |x| < log(DBL_MAX) */ + if (w < 0x40862e42) { + t = exp(x); + /* note: if x>log(0x1p26) then the 1/t is not needed */ + return 0.5*(t + 1/t); + } + + /* |x| > log(DBL_MAX) or nan */ + /* note: the result is stored to handle overflow */ + t = __expo2(x); + return t; +} |