#include "libm.h" float coshf(float x) { union {float f; uint32_t i;} u = {.f = x}; uint32_t w; float t; /* |x| */ u.i &= 0x7fffffff; x = u.f; w = u.i; /* |x| < log(2) */ if (w < 0x3f317217) { if (w < 0x3f800000 - (12<<23)) { FORCE_EVAL(x + 0x1p120f); return 1; } t = expm1f(x); return 1 + t*t/(2*(1+t)); } /* |x| < log(FLT_MAX) */ if (w < 0x42b17217) { t = expf(x); return 0.5f*(t + 1/t); } /* |x| > log(FLT_MAX) or nan */ t = __expo2f(x); return t; }