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Unified Diff: fusl/src/math/atanh.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/atanh.c
diff --git a/fusl/src/math/atanh.c b/fusl/src/math/atanh.c
new file mode 100644
index 0000000000000000000000000000000000000000..63a035d7063ae2d5df2c31728e10e5d471209c79
--- /dev/null
+++ b/fusl/src/math/atanh.c
@@ -0,0 +1,29 @@
+#include "libm.h"
+
+/* atanh(x) = log((1+x)/(1-x))/2 = log1p(2x/(1-x))/2 ~= x + x^3/3 + o(x^5) */
+double atanh(double x)
+{
+ union {double f; uint64_t i;} u = {.f = x};
+ unsigned e = u.i >> 52 & 0x7ff;
+ unsigned s = u.i >> 63;
+ double_t y;
+
+ /* |x| */
+ u.i &= (uint64_t)-1/2;
+ y = u.f;
+
+ if (e < 0x3ff - 1) {
+ if (e < 0x3ff - 32) {
+ /* handle underflow */
+ if (e == 0)
+ FORCE_EVAL((float)y);
+ } else {
+ /* |x| < 0.5, up to 1.7ulp error */
+ y = 0.5*log1p(2*y + 2*y*y/(1-y));
+ }
+ } else {
+ /* avoid overflow */
+ y = 0.5*log1p(2*(y/(1-y)));
+ }
+ return s ? -y : y;
+}
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