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authorJoseph Myers <joseph@codesourcery.com>2015-02-12 19:02:45 +0000
committerJoseph Myers <joseph@codesourcery.com>2015-02-12 19:02:45 +0000
commit03d95bd48319256bd29cfaece45919fc58bf56cc (patch)
tree5ed21769ade47b69e555932587a23f69201c7ba6 /math/e_exp2l.c
parent98408b95b155464e760c22dce4842f29499db821 (diff)
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Fix exp2 spurious underflows (bug 16560).
This patch fixes the remaining part of bug 16560, spurious underflows from exp2 of arguments close to 0 (when the result is close to 1, so should not underflow), by just using 1+x instead of a more complicated calculation when the argument is sufficiently small. Tested for x86_64, x86 and mips64. [BZ #16560] * math/e_exp2l.c [LDBL_MANT_DIG == 106] (LDBL_EPSILON): Undefine and redefine. (__ieee754_exp2l): Do not multiply small fractional parts by M_LN2l. * sysdeps/i386/fpu/e_exp2l.S (__ieee754_exp2l): Just add 1 to small argument. * sysdeps/ieee754/dbl-64/e_exp2.c (__ieee754_exp2): Likewise. * sysdeps/ieee754/flt-32/e_exp2f.c (__ieee754_exp2f): Likewise. * sysdeps/x86_64/fpu/e_exp2l.S (__ieee754_exp2l): Likewise. * math/auto-libm-test-in: Add more tests of exp2. * math/auto-libm-test-out: Regenerated.
Diffstat (limited to 'math/e_exp2l.c')
-rw-r--r--math/e_exp2l.c9
1 files changed, 9 insertions, 0 deletions
diff --git a/math/e_exp2l.c b/math/e_exp2l.c
index bb7feef..9eb7baf 100644
--- a/math/e_exp2l.c
+++ b/math/e_exp2l.c
@@ -20,6 +20,13 @@
#include <math_private.h>
#include <float.h>
+/* To avoid spurious underflows, use this definition to treat IBM long
+ double as approximating an IEEE-style format. */
+#if LDBL_MANT_DIG == 106
+# undef LDBL_EPSILON
+# define LDBL_EPSILON 0x1p-106L
+#endif
+
long double
__ieee754_exp2l (long double x)
{
@@ -31,6 +38,8 @@ __ieee754_exp2l (long double x)
{
int intx = (int) x;
long double fractx = x - intx;
+ if (fabsl (fractx) < LDBL_EPSILON / 4.0L)
+ return __scalbnl (1.0L + fractx, intx);
return __scalbnl (__ieee754_expl (M_LN2l * fractx), intx);
}
else