From 885f5974cdf65b59415837ae97f5a14ef1350670 Mon Sep 17 00:00:00 2001 From: Kacper Date: Tue, 9 Dec 2025 19:20:15 +0100 Subject: feat: add gzip and new headers --- lib/libm/asinhf.c | 31 +++++++++++++++++++++++++++++++ 1 file changed, 31 insertions(+) create mode 100644 lib/libm/asinhf.c (limited to 'lib/libm/asinhf.c') diff --git a/lib/libm/asinhf.c b/lib/libm/asinhf.c new file mode 100644 index 00000000..2f6c585b --- /dev/null +++ b/lib/libm/asinhf.c @@ -0,0 +1,31 @@ +#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; +} -- cgit v1.2.3