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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/cosh.c
parenta95b38b1b92b172e6cc4e8e56a88a30cc65907b0 (diff)
lib: Add mlibc
Signed-off-by: Ian Moffett <ian@osmora.org>
Diffstat (limited to 'lib/mlibc/options/ansi/musl-generic-math/cosh.c')
-rw-r--r--lib/mlibc/options/ansi/musl-generic-math/cosh.c40
1 files changed, 40 insertions, 0 deletions
diff --git a/lib/mlibc/options/ansi/musl-generic-math/cosh.c b/lib/mlibc/options/ansi/musl-generic-math/cosh.c
new file mode 100644
index 0000000..100f823
--- /dev/null
+++ b/lib/mlibc/options/ansi/musl-generic-math/cosh.c
@@ -0,0 +1,40 @@
+#include "libm.h"
+
+/* cosh(x) = (exp(x) + 1/exp(x))/2
+ * = 1 + 0.5*(exp(x)-1)*(exp(x)-1)/exp(x)
+ * = 1 + x*x/2 + o(x^4)
+ */
+double cosh(double x)
+{
+ union {double f; uint64_t i;} u = {.f = x};
+ uint32_t w;
+ double t;
+
+ /* |x| */
+ u.i &= (uint64_t)-1/2;
+ x = u.f;
+ w = u.i >> 32;
+
+ /* |x| < log(2) */
+ if (w < 0x3fe62e42) {
+ if (w < 0x3ff00000 - (26<<20)) {
+ /* raise inexact if x!=0 */
+ FORCE_EVAL(x + 0x1p120f);
+ return 1;
+ }
+ t = expm1(x);
+ return 1 + t*t/(2*(1+t));
+ }
+
+ /* |x| < log(DBL_MAX) */
+ if (w < 0x40862e42) {
+ t = exp(x);
+ /* note: if x>log(0x1p26) then the 1/t is not needed */
+ return 0.5*(t + 1/t);
+ }
+
+ /* |x| > log(DBL_MAX) or nan */
+ /* note: the result is stored to handle overflow */
+ t = __expo2(x);
+ return t;
+}