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-rw-r--r--lib/mlibc/options/ansi/musl-generic-math/acosh.c24
1 files changed, 24 insertions, 0 deletions
diff --git a/lib/mlibc/options/ansi/musl-generic-math/acosh.c b/lib/mlibc/options/ansi/musl-generic-math/acosh.c
new file mode 100644
index 0000000..badbf90
--- /dev/null
+++ b/lib/mlibc/options/ansi/musl-generic-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;
+}