1 files changed, 31 insertions, 0 deletions
diff --git a/lib/libm/asinh.c b/lib/libm/asinh.c
new file mode 100644
index 00000000..196a81ef
--- /dev/null
+++ b/lib/libm/asinh.c
@@ -0,0 +1,31 @@
+#include "libm.h"
+
+/* asinh(x) = sign(x)*log(|x|+sqrt(x*x+1)) ~= x - x^3/6 + o(x^5) */
+double asinh(double x)
+{
+	union {
+		double f;
+		uint64_t i;
+	} u = { .f = x };
+	unsigned e = u.i >> 52 & 0x7ff;
+	unsigned s = u.i >> 63;
+
+	/* |x| */
+	u.i &= (uint64_t)-1 / 2;
+	x = u.f;
+
+	if (e >= 0x3ff + 26) {
+		/* |x| >= 0x1p26 or inf or nan */
+		x = log(x) + 0.693147180559945309417232121458176568;
+	} else if (e >= 0x3ff + 1) {
+		/* |x| >= 2 */
+		x = log(2 * x + 1 / (sqrt(x * x + 1) + x));
+	} else if (e >= 0x3ff - 26) {
+		/* |x| >= 0x1p-26, up to 1.6ulp error in [0.125,0.5] */
+		x = log1p(x + x * x / (sqrt(x * x + 1) + 1));
+	} else {
+		/* |x| < 0x1p-26, raise inexact if x != 0 */
+		FORCE_EVAL(x + 0x1p120f);
+	}
+	return s ? -x : x;
+}