cosmopolitan/libc/math/tanhf.c

40 lines
663 B
C

#include "libc/math/libm.h"
float tanhf(float x)
{
union {float f; uint32_t i;} u = {.f = x};
uint32_t w;
int sign;
float t;
/* x = |x| */
sign = u.i >> 31;
u.i &= 0x7fffffff;
x = u.f;
w = u.i;
if (w > 0x3f0c9f54) {
/* |x| > log(3)/2 ~= 0.5493 or nan */
if (w > 0x41200000) {
/* |x| > 10 */
t = 1 + 0/x;
} else {
t = expm1f(2*x);
t = 1 - 2/(t+2);
}
} else if (w > 0x3e82c578) {
/* |x| > log(5/3)/2 ~= 0.2554 */
t = expm1f(2*x);
t = t/(t+2);
} else if (w >= 0x00800000) {
/* |x| >= 0x1p-126 */
t = expm1f(-2*x);
t = -t/(t+2);
} else {
/* |x| is subnormal */
FORCE_EVAL(x*x);
t = x;
}
return sign ? -t : t;
}