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Unified Diff: fusl/src/math/asinh.c

Issue 1573973002: Add a "fork" of musl as //fusl. (Closed) Base URL: https://github.com/domokit/mojo.git@master
Patch Set: Created 4 years, 11 months ago
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Index: fusl/src/math/asinh.c
diff --git a/fusl/src/math/asinh.c b/fusl/src/math/asinh.c
new file mode 100644
index 0000000000000000000000000000000000000000..0829f228ef9d2540578c6512736c107b25c2bc06
--- /dev/null
+++ b/fusl/src/math/asinh.c
@@ -0,0 +1,28 @@
+#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;
+}
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