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; |
+} |