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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 bb7feefeff..9eb7bafadd 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