#include "libm.h"
+#if FLT_EVAL_METHOD==2
+#undef sqrtf
+#define sqrtf sqrtl
+#elif FLT_EVAL_METHOD==1
+#undef sqrtf
+#define sqrtf sqrt
+#endif
+
/* acosh(x) = log(x + sqrt(x*x-1)) */
float acoshf(float x)
{
- union {float f; int32_t i;} u = {.f = x};
+ union {float f; uint32_t i;} u = {x};
+ uint32_t a = u.i & 0x7fffffff;
- if (u.i < 0x3f800000+(1<<23))
- /* x < 2, invalid if x < 1 or nan */
+ if (a < 0x3f800000+(1<<23))
+ /* |x| < 2, invalid if x < 1 */
/* up to 2ulp error in [1,1.125] */
return log1pf(x-1 + sqrtf((x-1)*(x-1)+2*(x-1)));
if (u.i < 0x3f800000+(12<<23))
- /* x < 0x1p12 */
+ /* 2 <= x < 0x1p12 */
return logf(2*x - 1/(x+sqrtf(x*x-1)));
- /* x >= 0x1p12 */
+ /* x >= 0x1p12 or x <= -2 or nan */
return logf(x) + 0.693147180559945309417232121458176568f;
}