diff options
Diffstat (limited to 'lib/mlibc/options/ansi/musl-generic-math/sinh.c')
-rw-r--r-- | lib/mlibc/options/ansi/musl-generic-math/sinh.c | 39 |
1 files changed, 39 insertions, 0 deletions
diff --git a/lib/mlibc/options/ansi/musl-generic-math/sinh.c b/lib/mlibc/options/ansi/musl-generic-math/sinh.c new file mode 100644 index 0000000..00022c4 --- /dev/null +++ b/lib/mlibc/options/ansi/musl-generic-math/sinh.c @@ -0,0 +1,39 @@ +#include "libm.h" + +/* sinh(x) = (exp(x) - 1/exp(x))/2 + * = (exp(x)-1 + (exp(x)-1)/exp(x))/2 + * = x + x^3/6 + o(x^5) + */ +double sinh(double x) +{ + union {double f; uint64_t i;} u = {.f = x}; + uint32_t w; + double t, h, absx; + + h = 0.5; + if (u.i >> 63) + h = -h; + /* |x| */ + u.i &= (uint64_t)-1/2; + absx = u.f; + w = u.i >> 32; + + /* |x| < log(DBL_MAX) */ + if (w < 0x40862e42) { + t = expm1(absx); + if (w < 0x3ff00000) { + if (w < 0x3ff00000 - (26<<20)) + /* note: inexact and underflow are raised by expm1 */ + /* note: this branch avoids spurious underflow */ + return x; + return h*(2*t - t*t/(t+1)); + } + /* note: |x|>log(0x1p26)+eps could be just h*exp(x) */ + return h*(t + t/(t+1)); + } + + /* |x| > log(DBL_MAX) or nan */ + /* note: the result is stored to handle overflow */ + t = 2*h*__expo2(absx); + return t; +} |