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-rw-r--r--lib/mlibc/options/ansi/musl-generic-math/__expo2.c16
1 files changed, 16 insertions, 0 deletions
diff --git a/lib/mlibc/options/ansi/musl-generic-math/__expo2.c b/lib/mlibc/options/ansi/musl-generic-math/__expo2.c
new file mode 100644
index 0000000..740ac68
--- /dev/null
+++ b/lib/mlibc/options/ansi/musl-generic-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;
+}