Index: fusl/src/math/asinhl.c |
diff --git a/fusl/src/math/asinhl.c b/fusl/src/math/asinhl.c |
new file mode 100644 |
index 0000000000000000000000000000000000000000..8635f52e82381bdaff12badbd7cd170b2e05bf62 |
--- /dev/null |
+++ b/fusl/src/math/asinhl.c |
@@ -0,0 +1,41 @@ |
+#include "libm.h" |
+ |
+#if LDBL_MANT_DIG == 53 && LDBL_MAX_EXP == 1024 |
+long double asinhl(long double x) |
+{ |
+ return asinh(x); |
+} |
+#elif LDBL_MANT_DIG == 64 && LDBL_MAX_EXP == 16384 |
+/* asinh(x) = sign(x)*log(|x|+sqrt(x*x+1)) ~= x - x^3/6 + o(x^5) */ |
+long double asinhl(long double x) |
+{ |
+ union ldshape u = {x}; |
+ unsigned e = u.i.se & 0x7fff; |
+ unsigned s = u.i.se >> 15; |
+ |
+ /* |x| */ |
+ u.i.se = e; |
+ x = u.f; |
+ |
+ if (e >= 0x3fff + 32) { |
+ /* |x| >= 0x1p32 or inf or nan */ |
+ x = logl(x) + 0.693147180559945309417232121458176568L; |
+ } else if (e >= 0x3fff + 1) { |
+ /* |x| >= 2 */ |
+ x = logl(2*x + 1/(sqrtl(x*x+1)+x)); |
+ } else if (e >= 0x3fff - 32) { |
+ /* |x| >= 0x1p-32 */ |
+ x = log1pl(x + x*x/(sqrtl(x*x+1)+1)); |
+ } else { |
+ /* |x| < 0x1p-32, raise inexact if x!=0 */ |
+ FORCE_EVAL(x + 0x1p120f); |
+ } |
+ return s ? -x : x; |
+} |
+#elif LDBL_MANT_DIG == 113 && LDBL_MAX_EXP == 16384 |
+// TODO: broken implementation to make things compile |
+long double asinhl(long double x) |
+{ |
+ return asinh(x); |
+} |
+#endif |