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Unified Diff: fusl/src/math/__expo2.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/__expo2.c
diff --git a/fusl/src/math/__expo2.c b/fusl/src/math/__expo2.c
new file mode 100644
index 0000000000000000000000000000000000000000..740ac680e857070c950d4e0d52d019ad4c225ab6
--- /dev/null
+++ b/fusl/src/math/__expo2.c
@@ -0,0 +1,16 @@
+#include "libm.h"
+
+/* k is such that k*ln2 has minimal relative error and x - kln2 > log(DBL_MIN) */
+static const int k = 2043;
+static const double kln2 = 0x1.62066151add8bp+10;
+
+/* exp(x)/2 for x >= log(DBL_MAX), slightly better than 0.5*exp(x/2)*exp(x/2) */
+double __expo2(double x)
+{
+ double scale;
+
+ /* note that k is odd and scale*scale overflows */
+ INSERT_WORDS(scale, (uint32_t)(0x3ff + k/2) << 20, 0);
+ /* exp(x - k ln2) * 2**(k-1) */
+ return exp(x - kln2) * scale * scale;
+}
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