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Unified Diff: fusl/src/math/tanh.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/tanh.c
diff --git a/fusl/src/math/tanh.c b/fusl/src/math/tanh.c
new file mode 100644
index 0000000000000000000000000000000000000000..20d6dbcf4175c7aad93fe70a53056f0d3e1c4f13
--- /dev/null
+++ b/fusl/src/math/tanh.c
@@ -0,0 +1,45 @@
+#include "libm.h"
+
+/* tanh(x) = (exp(x) - exp(-x))/(exp(x) + exp(-x))
+ * = (exp(2*x) - 1)/(exp(2*x) - 1 + 2)
+ * = (1 - exp(-2*x))/(exp(-2*x) - 1 + 2)
+ */
+double tanh(double x)
+{
+ union {double f; uint64_t i;} u = {.f = x};
+ uint32_t w;
+ int sign;
+ double_t t;
+
+ /* x = |x| */
+ sign = u.i >> 63;
+ u.i &= (uint64_t)-1/2;
+ x = u.f;
+ w = u.i >> 32;
+
+ if (w > 0x3fe193ea) {
+ /* |x| > log(3)/2 ~= 0.5493 or nan */
+ if (w > 0x40340000) {
+ /* |x| > 20 or nan */
+ /* note: this branch avoids raising overflow */
+ t = 1 - 0/x;
+ } else {
+ t = expm1(2*x);
+ t = 1 - 2/(t+2);
+ }
+ } else if (w > 0x3fd058ae) {
+ /* |x| > log(5/3)/2 ~= 0.2554 */
+ t = expm1(2*x);
+ t = t/(t+2);
+ } else if (w >= 0x00100000) {
+ /* |x| >= 0x1p-1022, up to 2ulp error in [0.1,0.2554] */
+ t = expm1(-2*x);
+ t = -t/(t+2);
+ } else {
+ /* |x| is subnormal */
+ /* note: the branch above would not raise underflow in [0x1p-1023,0x1p-1022) */
+ FORCE_EVAL((float)x);
+ t = x;
+ }
+ return sign ? -t : t;
+}
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