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-rw-r--r--lib/mlibc/options/ansi/musl-generic-math/asinhf.c28
1 files changed, 28 insertions, 0 deletions
diff --git a/lib/mlibc/options/ansi/musl-generic-math/asinhf.c b/lib/mlibc/options/ansi/musl-generic-math/asinhf.c
new file mode 100644
index 0000000..fc9f091
--- /dev/null
+++ b/lib/mlibc/options/ansi/musl-generic-math/asinhf.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) */
+float asinhf(float x)
+{
+ union {float f; uint32_t i;} u = {.f = x};
+ uint32_t i = u.i & 0x7fffffff;
+ unsigned s = u.i >> 31;
+
+ /* |x| */
+ u.i = i;
+ x = u.f;
+
+ if (i >= 0x3f800000 + (12<<23)) {
+ /* |x| >= 0x1p12 or inf or nan */
+ x = logf(x) + 0.693147180559945309417232121458176568f;
+ } else if (i >= 0x3f800000 + (1<<23)) {
+ /* |x| >= 2 */
+ x = logf(2*x + 1/(sqrtf(x*x+1)+x));
+ } else if (i >= 0x3f800000 - (12<<23)) {
+ /* |x| >= 0x1p-12, up to 1.6ulp error in [0.125,0.5] */
+ x = log1pf(x + x*x/(sqrtf(x*x+1)+1));
+ } else {
+ /* |x| < 0x1p-12, raise inexact if x!=0 */
+ FORCE_EVAL(x + 0x1p120f);
+ }
+ return s ? -x : x;
+}