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authorIan Moffett <ian@osmora.org>2024-03-07 17:28:00 -0500
committerIan Moffett <ian@osmora.org>2024-03-07 17:28:32 -0500
commitbd5969fc876a10b18613302db7087ef3c40f18e1 (patch)
tree7c2b8619afe902abf99570df2873fbdf40a4d1a1 /lib/mlibc/options/ansi/musl-generic-math/atanhl.c
parenta95b38b1b92b172e6cc4e8e56a88a30cc65907b0 (diff)
lib: Add mlibc
Signed-off-by: Ian Moffett <ian@osmora.org>
Diffstat (limited to 'lib/mlibc/options/ansi/musl-generic-math/atanhl.c')
-rw-r--r--lib/mlibc/options/ansi/musl-generic-math/atanhl.c35
1 files changed, 35 insertions, 0 deletions
diff --git a/lib/mlibc/options/ansi/musl-generic-math/atanhl.c b/lib/mlibc/options/ansi/musl-generic-math/atanhl.c
new file mode 100644
index 0000000..87cd1cd
--- /dev/null
+++ b/lib/mlibc/options/ansi/musl-generic-math/atanhl.c
@@ -0,0 +1,35 @@
+#include "libm.h"
+
+#if LDBL_MANT_DIG == 53 && LDBL_MAX_EXP == 1024
+long double atanhl(long double x)
+{
+ return atanh(x);
+}
+#elif (LDBL_MANT_DIG == 64 || LDBL_MANT_DIG == 113) && LDBL_MAX_EXP == 16384
+/* atanh(x) = log((1+x)/(1-x))/2 = log1p(2x/(1-x))/2 ~= x + x^3/3 + o(x^5) */
+long double atanhl(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 < 0x3ff - 1) {
+ if (e < 0x3ff - LDBL_MANT_DIG/2) {
+ /* handle underflow */
+ if (e == 0)
+ FORCE_EVAL((float)x);
+ } else {
+ /* |x| < 0.5, up to 1.7ulp error */
+ x = 0.5*log1pl(2*x + 2*x*x/(1-x));
+ }
+ } else {
+ /* avoid overflow */
+ x = 0.5*log1pl(2*(x/(1-x)));
+ }
+ return s ? -x : x;
+}
+#endif