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Fix dbl-64 remainder sign of zero result (bug 19201).
For some large arguments, the dbl-64 implementation of remainder gives zero results with the wrong sign, resulting from a subtraction that is mathematically correct but does not guarantee that a zero result has the sign of the first argument to remainder. This patch adds an appropriate check for this case, similar to other implementations of remainder in the case of equality, and adds tests of remainder on inputs already used to test remquo. Tested for x86_64 and x86. [BZ #19201] * sysdeps/ieee754/dbl-64/e_remainder.c (__ieee754_remainder): Check for zero remainder in case of large exponents and ensure correct sign of result in that case. * math/libm-test.inc (remainder_test_data): Add more tests.
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@ -1,5 +1,11 @@
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2015-11-02 Joseph Myers <joseph@codesourcery.com>
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[BZ #19201]
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* sysdeps/ieee754/dbl-64/e_remainder.c (__ieee754_remainder):
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Check for zero remainder in case of large exponents and ensure
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correct sign of result in that case.
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* math/libm-test.inc (remainder_test_data): Add more tests.
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[BZ #6799]
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* math/s_nextafter.c: Include <errno.h>.
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(__nextafter): Set errno on overflow and underflow.
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3
NEWS
3
NEWS
@ -21,7 +21,8 @@ Version 2.23
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18966, 18967, 18969, 18970, 18977, 18980, 18981, 18982, 18985, 19003,
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19007, 19012, 19016, 19018, 19032, 19046, 19048, 19049, 19050, 19059,
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19071, 19074, 19076, 19077, 19078, 19079, 19085, 19086, 19088, 19094,
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19095, 19124, 19125, 19129, 19134, 19137, 19156, 19174, 19181, 19189.
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19095, 19124, 19125, 19129, 19134, 19137, 19156, 19174, 19181, 19189,
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19201.
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* A defect in the malloc implementation, present since glibc 2.15 (2012) or
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glibc 2.10 via --enable-experimental-malloc (2009), could result in the
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@ -10318,6 +10318,75 @@ static const struct test_ff_f_data remainder_test_data[] =
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#if defined TEST_LDOUBLE && LDBL_MANT_DIG >= 56
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TEST_ff_f (remainder, -0x1.80000000000002p1L, 2.0, 0x1.fffffffffffff8p-1L, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
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#endif
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TEST_ff_f (remainder, 3419, 360, 179, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
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TEST_ff_f (remainder, -3419, 360, -179, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
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TEST_ff_f (remainder, 3419, -360, 179, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
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TEST_ff_f (remainder, -3419, -360, -179, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
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TEST_ff_f (remainder, max_value, max_value, plus_zero, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
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TEST_ff_f (remainder, max_value, -max_value, plus_zero, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
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TEST_ff_f (remainder, max_value, min_value, plus_zero, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
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TEST_ff_f (remainder, max_value, -min_value, plus_zero, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
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TEST_ff_f (remainder, max_value, min_subnorm_value, plus_zero, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
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TEST_ff_f (remainder, max_value, -min_subnorm_value, plus_zero, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
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TEST_ff_f (remainder, -max_value, max_value, minus_zero, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
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TEST_ff_f (remainder, -max_value, -max_value, minus_zero, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
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TEST_ff_f (remainder, -max_value, min_value, minus_zero, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
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TEST_ff_f (remainder, -max_value, -min_value, minus_zero, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
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TEST_ff_f (remainder, -max_value, min_subnorm_value, minus_zero, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
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TEST_ff_f (remainder, -max_value, -min_subnorm_value, minus_zero, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
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TEST_ff_f (remainder, min_value, max_value, min_value, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
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TEST_ff_f (remainder, min_value, -max_value, min_value, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
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TEST_ff_f (remainder, min_value, min_value, plus_zero, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
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TEST_ff_f (remainder, min_value, -min_value, plus_zero, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
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TEST_ff_f (remainder, min_value, min_subnorm_value, plus_zero, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
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TEST_ff_f (remainder, min_value, -min_subnorm_value, plus_zero, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
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TEST_ff_f (remainder, -min_value, max_value, -min_value, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
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TEST_ff_f (remainder, -min_value, -max_value, -min_value, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
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TEST_ff_f (remainder, -min_value, min_value, minus_zero, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
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TEST_ff_f (remainder, -min_value, -min_value, minus_zero, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
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TEST_ff_f (remainder, -min_value, min_subnorm_value, minus_zero, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
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TEST_ff_f (remainder, -min_value, -min_subnorm_value, minus_zero, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
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TEST_ff_f (remainder, min_subnorm_value, max_value, min_subnorm_value, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
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TEST_ff_f (remainder, min_subnorm_value, -max_value, min_subnorm_value, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
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TEST_ff_f (remainder, min_subnorm_value, min_value, min_subnorm_value, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
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TEST_ff_f (remainder, min_subnorm_value, -min_value, min_subnorm_value, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
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TEST_ff_f (remainder, min_subnorm_value, min_subnorm_value, plus_zero, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
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TEST_ff_f (remainder, min_subnorm_value, -min_subnorm_value, plus_zero, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
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TEST_ff_f (remainder, -min_subnorm_value, max_value, -min_subnorm_value, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
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TEST_ff_f (remainder, -min_subnorm_value, -max_value, -min_subnorm_value, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
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TEST_ff_f (remainder, -min_subnorm_value, min_value, -min_subnorm_value, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
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TEST_ff_f (remainder, -min_subnorm_value, -min_value, -min_subnorm_value, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
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TEST_ff_f (remainder, -min_subnorm_value, min_subnorm_value, minus_zero, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
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TEST_ff_f (remainder, -min_subnorm_value, -min_subnorm_value, minus_zero, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
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TEST_ff_f (remainder, 1, max_value, 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
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TEST_ff_f (remainder, 1, -max_value, 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
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TEST_ff_f (remainder, 1, max_value / 2, 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
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TEST_ff_f (remainder, 1, -max_value / 2, 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
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TEST_ff_f (remainder, 1, max_value / 4, 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
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TEST_ff_f (remainder, 1, -max_value / 4, 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
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TEST_ff_f (remainder, 1, max_value / 8, 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
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TEST_ff_f (remainder, 1, -max_value / 8, 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
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TEST_ff_f (remainder, -1, max_value, -1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
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TEST_ff_f (remainder, -1, -max_value, -1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
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TEST_ff_f (remainder, -1, max_value / 2, -1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
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TEST_ff_f (remainder, -1, -max_value / 2, -1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
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TEST_ff_f (remainder, -1, max_value / 4, -1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
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TEST_ff_f (remainder, -1, -max_value / 4, -1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
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TEST_ff_f (remainder, -1, max_value / 8, -1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
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TEST_ff_f (remainder, -1, -max_value / 8, -1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
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TEST_ff_f (remainder, max_value, max_value / 2, plus_zero, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
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TEST_ff_f (remainder, max_value, -max_value / 2, plus_zero, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
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TEST_ff_f (remainder, -max_value, max_value / 2, minus_zero, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
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TEST_ff_f (remainder, -max_value, -max_value / 2, minus_zero, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
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TEST_ff_f (remainder, 2, 1, plus_zero, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
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TEST_ff_f (remainder, 2, -1, plus_zero, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
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TEST_ff_f (remainder, -2, 1, minus_zero, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
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TEST_ff_f (remainder, -2, -1, minus_zero, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
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};
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static void
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@ -130,6 +130,8 @@ __ieee754_remainder (double x, double y)
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d = fabs (z);
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if (d <= fabs (d - y))
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return z;
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else if (d == y)
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return 0.0 * x;
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else
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return (z > 0) ? z - y : z + y;
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}
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