| Index: fusl/src/math/cosh.c
|
| diff --git a/fusl/src/math/cosh.c b/fusl/src/math/cosh.c
|
| new file mode 100644
|
| index 0000000000000000000000000000000000000000..100f8231d8829604b9e293491a9abb1774b4b29a
|
| --- /dev/null
|
| +++ b/fusl/src/math/cosh.c
|
| @@ -0,0 +1,40 @@
|
| +#include "libm.h"
|
| +
|
| +/* cosh(x) = (exp(x) + 1/exp(x))/2
|
| + * = 1 + 0.5*(exp(x)-1)*(exp(x)-1)/exp(x)
|
| + * = 1 + x*x/2 + o(x^4)
|
| + */
|
| +double cosh(double x)
|
| +{
|
| + union {double f; uint64_t i;} u = {.f = x};
|
| + uint32_t w;
|
| + double t;
|
| +
|
| + /* |x| */
|
| + u.i &= (uint64_t)-1/2;
|
| + x = u.f;
|
| + w = u.i >> 32;
|
| +
|
| + /* |x| < log(2) */
|
| + if (w < 0x3fe62e42) {
|
| + if (w < 0x3ff00000 - (26<<20)) {
|
| + /* raise inexact if x!=0 */
|
| + FORCE_EVAL(x + 0x1p120f);
|
| + return 1;
|
| + }
|
| + t = expm1(x);
|
| + return 1 + t*t/(2*(1+t));
|
| + }
|
| +
|
| + /* |x| < log(DBL_MAX) */
|
| + if (w < 0x40862e42) {
|
| + t = exp(x);
|
| + /* note: if x>log(0x1p26) then the 1/t is not needed */
|
| + return 0.5*(t + 1/t);
|
| + }
|
| +
|
| + /* |x| > log(DBL_MAX) or nan */
|
| + /* note: the result is stored to handle overflow */
|
| + t = __expo2(x);
|
| + return t;
|
| +}
|
|
|