lib/libm/coshf.c


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#include "libm.h" // for __expo2f, FORCE_EVAL

#include <math.h>   // for coshf, expf, expm1f
#include <stdint.h> // for uint32_t

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, 1.0f);
	return t;
}