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-rw-r--r--lib/mlibc/options/ansi/musl-generic-math/atanhf.c28
1 files changed, 28 insertions, 0 deletions
diff --git a/lib/mlibc/options/ansi/musl-generic-math/atanhf.c b/lib/mlibc/options/ansi/musl-generic-math/atanhf.c
new file mode 100644
index 0000000..65f07c0
--- /dev/null
+++ b/lib/mlibc/options/ansi/musl-generic-math/atanhf.c
@@ -0,0 +1,28 @@
+#include "libm.h"
+
+/* atanh(x) = log((1+x)/(1-x))/2 = log1p(2x/(1-x))/2 ~= x + x^3/3 + o(x^5) */
+float atanhf(float x)
+{
+ union {float f; uint32_t i;} u = {.f = x};
+ unsigned s = u.i >> 31;
+ float_t y;
+
+ /* |x| */
+ u.i &= 0x7fffffff;
+ y = u.f;
+
+ if (u.i < 0x3f800000 - (1<<23)) {
+ if (u.i < 0x3f800000 - (32<<23)) {
+ /* handle underflow */
+ if (u.i < (1<<23))
+ FORCE_EVAL((float)(y*y));
+ } else {
+ /* |x| < 0.5, up to 1.7ulp error */
+ y = 0.5f*log1pf(2*y + 2*y*y/(1-y));
+ }
+ } else {
+ /* avoid overflow */
+ y = 0.5f*log1pf(2*(y/(1-y)));
+ }
+ return s ? -y : y;
+}