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Unified Diff: fusl/src/math/cosh.c

Issue 1573973002: Add a "fork" of musl as //fusl. (Closed) Base URL: https://github.com/domokit/mojo.git@master
Patch Set: Created 4 years, 11 months ago
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Index: fusl/src/math/cosh.c
diff --git a/fusl/src/math/cosh.c b/fusl/src/math/cosh.c
new file mode 100644
index 0000000000000000000000000000000000000000..100f8231d8829604b9e293491a9abb1774b4b29a
--- /dev/null
+++ b/fusl/src/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;
+}
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