Index: fusl/src/math/acosh.c |
diff --git a/fusl/src/math/acosh.c b/fusl/src/math/acosh.c |
new file mode 100644 |
index 0000000000000000000000000000000000000000..badbf9081e644ff9df80bd2ae86cfc32e32a888b |
--- /dev/null |
+++ b/fusl/src/math/acosh.c |
@@ -0,0 +1,24 @@ |
+#include "libm.h" |
+ |
+#if FLT_EVAL_METHOD==2 |
+#undef sqrt |
+#define sqrt sqrtl |
+#endif |
+ |
+/* acosh(x) = log(x + sqrt(x*x-1)) */ |
+double acosh(double x) |
+{ |
+ union {double f; uint64_t i;} u = {.f = x}; |
+ unsigned e = u.i >> 52 & 0x7ff; |
+ |
+ /* x < 1 domain error is handled in the called functions */ |
+ |
+ if (e < 0x3ff + 1) |
+ /* |x| < 2, up to 2ulp error in [1,1.125] */ |
+ return log1p(x-1 + sqrt((x-1)*(x-1)+2*(x-1))); |
+ if (e < 0x3ff + 26) |
+ /* |x| < 0x1p26 */ |
+ return log(2*x - 1/(x+sqrt(x*x-1))); |
+ /* |x| >= 0x1p26 or nan */ |
+ return log(x) + 0.693147180559945309417232121458176568; |
+} |