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authorJoseph Myers <joseph@codesourcery.com>2013-12-19 13:36:10 +0000
committerJoseph Myers <joseph@codesourcery.com>2013-12-19 13:36:10 +0000
commitf88acd39da2a509081e541b84ecbf204ef20f9e8 (patch)
tree383c0bcce4b3e74c9150d01550e7c412e47981bd /ChangeLog
parentc688b4196014e0162a1ff11120f6c9516be0c6cb (diff)
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Fix x86/x86_64 expm1 inaccuracy near 0 in directed rounding modes (bug 16293).
Bug 16293 is inaccuracy of x86/x86_64 versions of expm1, near 0 in
directed rounding modes, that arises from frndint rounding the
exponent to 1 or -1 instead of 0, resulting in large cancellation
error.  This inaccuracy in turn affects other functions such as sinh
that use expm1.  This patch fixes the problem by setting
round-to-nearest mode temporarily around the affected calls to
frndint.  I don't think this is needed for other uses of frndint, such
as in exp itself, as only for expm1 is the cancellation error
significant.

Tested x86_64 and x86 and ulps updated accordingly.

	* sysdeps/i386/fpu/e_expl.S (IEEE754_EXPL) [USE_AS_EXPM1L]: Set
	round-to-nearest mode when using frndint.
	* sysdeps/i386/fpu/s_expm1.S (__expm1): Likewise.
	* sysdeps/i386/fpu/s_expm1f.S (__expm1f): Likewise.
	* sysdeps/x86_64/fpu/e_expl.S (IEEE754_EXPL) [USE_AS_EXPM1L]:
	Likewise.
	* math/auto-libm-test-in: Add more tests of expm1.  Do not expect
	sinh test to fail.
	* math/auto-libm-test-out: Regenerated.
	* math/libm-test.inc (TEST_COND_x86_64): Remove macro.
	(TEST_COND_x86): Likewise.
	(expm1_tonearest_test_data): New array.
	(expm1_test_tonearest): New function.
	(expm1_towardzero_test_data): New array.
	(expm1_test_towardzero): New function.
	(expm1_downward_test_data): New array.
	(expm1_test_downward): New function.
	(expm1_upward_test_data): New array.
	(expm1_test_upward): New function.
	(main): Run the new test functions.
	* sysdeps/i386/fpu/libm-test-ulps: Update.
	* sysdeps/x86_64/fpu/libm-test-ulps: Likewise.
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@@ -1,5 +1,29 @@
 2013-12-19  Joseph Myers  <joseph@codesourcery.com>
 
+	[BZ #16293]
+	* sysdeps/i386/fpu/e_expl.S (IEEE754_EXPL) [USE_AS_EXPM1L]: Set
+	round-to-nearest mode when using frndint.
+	* sysdeps/i386/fpu/s_expm1.S (__expm1): Likewise.
+	* sysdeps/i386/fpu/s_expm1f.S (__expm1f): Likewise.
+	* sysdeps/x86_64/fpu/e_expl.S (IEEE754_EXPL) [USE_AS_EXPM1L]:
+	Likewise.
+	* math/auto-libm-test-in: Add more tests of expm1.  Do not expect
+	sinh test to fail.
+	* math/auto-libm-test-out: Regenerated.
+	* math/libm-test.inc (TEST_COND_x86_64): Remove macro.
+	(TEST_COND_x86): Likewise.
+	(expm1_tonearest_test_data): New array.
+	(expm1_test_tonearest): New function.
+	(expm1_towardzero_test_data): New array.
+	(expm1_test_towardzero): New function.
+	(expm1_downward_test_data): New array.
+	(expm1_test_downward): New function.
+	(expm1_upward_test_data): New array.
+	(expm1_test_upward): New function.
+	(main): Run the new test functions.
+	* sysdeps/i386/fpu/libm-test-ulps: Update.
+	* sysdeps/x86_64/fpu/libm-test-ulps: Likewise.
+
 	* include/features.h: Update comment documenting feature test
 	macros.  Mention _DEFAULT_SOURCE in comment.
 	[_GNU_SOURCE] (_DEFAULT_SOURCE): Undefine and redefine.