Index: fusl/src/math/asinhf.c |
diff --git a/fusl/src/math/asinhf.c b/fusl/src/math/asinhf.c |
new file mode 100644 |
index 0000000000000000000000000000000000000000..fc9f0911bf67fa1515234eeb4137142fadafab6e |
--- /dev/null |
+++ b/fusl/src/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; |
+} |