Fix pow of negative numbers to integer exponents (bugs 369, 2678, 3866).
This commit is contained in:
Joseph Myers
parent
414fca039e
commit
d6270972f7
15
ChangeLog
15
ChangeLog
@ -1,5 +1,20 @@
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2012-03-28 Joseph Myers <joseph@codesourcery.com>
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[BZ #369]
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[BZ #2678]
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[BZ #3866]
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* sysdeps/i386/fpu/e_pow.S (__ieee754_pow): Take absolute value of
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x for large integer exponent.
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* sysdeps/i386/fpu/e_powf.S (__ieee754_powf): Likewise.
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* sysdeps/i386/fpu/e_powl.S (__ieee754_powl): Likewise. Adjust
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sign of result as needed afterwards.
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* sysdeps/x86_64/fpu/e_powl.S (__ieee754_powl): Likewise.
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* sysdeps/ieee754/k_standard.c (__kernel_standard): Handle sign of
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result for underflowing pow the same as for overflow.
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(__kernel_standard_l): Handle powl overflow and underflow here
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rather than calling __kernel_standard.
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* math/libm-test.inc (pow_test): Add more tests.
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[BZ #3868]
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[BZ #13879]
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[BZ #13910]
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20
NEWS
20
NEWS
@ -9,16 +9,16 @@ Version 2.16
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* The following bugs are resolved with this release:
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174, 350, 411, 2541, 2547, 2548, 2551, 2552, 2553, 2554, 2562, 2563, 2565,
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2566, 2576, 3335, 3868, 3976, 3992, 4026, 4108, 4596, 4822, 5077, 5461,
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5805, 5993, 6471, 6730, 6884, 6907, 6911, 9739, 9902, 10110, 10135, 10140,
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10210, 10545, 10716, 11174, 11322, 11365, 11451, 11494, 12047, 13058,
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13525, 13526, 13527, 13528, 13529, 13530, 13531, 13532, 13533, 13547,
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13551, 13552, 13553, 13555, 13559, 13566, 13583, 13618, 13637, 13656,
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13658, 13673, 13695, 13704, 13706, 13726, 13738, 13786, 13792, 13806,
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13824, 13840, 13841, 13844, 13846, 13851, 13852, 13854, 13871, 13879,
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13883, 13892, 13910, 13911, 13912, 13913, 13915, 13916, 13917, 13918,
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13919, 13920, 13921
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174, 350, 369, 411, 2541, 2547, 2548, 2551, 2552, 2553, 2554, 2562, 2563,
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2565, 2566, 2576, 2678, 3335, 3866, 3868, 3976, 3992, 4026, 4108, 4596,
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4822, 5077, 5461, 5805, 5993, 6471, 6730, 6884, 6907, 6911, 9739, 9902,
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10110, 10135, 10140, 10210, 10545, 10716, 11174, 11322, 11365, 11451,
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11494, 12047, 13058, 13525, 13526, 13527, 13528, 13529, 13530, 13531,
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13532, 13533, 13547, 13551, 13552, 13553, 13555, 13559, 13566, 13583,
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13618, 13637, 13656, 13658, 13673, 13695, 13704, 13706, 13726, 13738,
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13786, 13792, 13806, 13824, 13840, 13841, 13844, 13846, 13851, 13852,
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13854, 13871, 13879, 13883, 13892, 13910, 13911, 13912, 13913, 13915,
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13916, 13917, 13918, 13919, 13920, 13921
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* ISO C11 support:
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@ -5818,6 +5818,259 @@ pow_test (void)
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TEST_ff_f (pow, -7.49321e+133, -9.80818e+16, 0);
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#endif
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TEST_ff_f (pow, -1.0, -0xffffff, -1.0);
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TEST_ff_f (pow, -1.0, -0x1fffffe, 1.0);
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#ifndef TEST_FLOAT
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TEST_ff_f (pow, -1.0, -0x1.fffffffffffffp+52L, -1.0);
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TEST_ff_f (pow, -1.0, -0x1.fffffffffffffp+53L, 1.0);
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#endif
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#ifdef TEST_LDOUBLE
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# if LDBL_MANT_DIG >= 64
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TEST_ff_f (pow, -1.0, -0x1.fffffffffffffffep+63L, -1.0);
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TEST_ff_f (pow, -1.0, -0x1.fffffffffffffffep+64L, 1.0);
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# endif
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# if LDBL_MANT_DIG >= 106
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TEST_ff_f (pow, -1.0, -0x1.ffffffffffffffffffffffffff8p+105L, -1.0);
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TEST_ff_f (pow, -1.0, -0x1.ffffffffffffffffffffffffff8p+106L, 1.0);
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# endif
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# if LDBL_MANT_DIG >= 113
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TEST_ff_f (pow, -1.0, -0x1.ffffffffffffffffffffffffffffp+112L, -1.0);
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TEST_ff_f (pow, -1.0, -0x1.ffffffffffffffffffffffffffffp+113L, 1.0);
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# endif
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#endif
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TEST_ff_f (pow, -1.0, -max_value, 1.0);
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TEST_ff_f (pow, -1.0, 0xffffff, -1.0);
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TEST_ff_f (pow, -1.0, 0x1fffffe, 1.0);
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#ifndef TEST_FLOAT
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TEST_ff_f (pow, -1.0, 0x1.fffffffffffffp+52L, -1.0);
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TEST_ff_f (pow, -1.0, 0x1.fffffffffffffp+53L, 1.0);
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#endif
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#ifdef TEST_LDOUBLE
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# if LDBL_MANT_DIG >= 64
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TEST_ff_f (pow, -1.0, 0x1.fffffffffffffffep+63L, -1.0);
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TEST_ff_f (pow, -1.0, 0x1.fffffffffffffffep+64L, 1.0);
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# endif
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# if LDBL_MANT_DIG >= 106
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TEST_ff_f (pow, -1.0, 0x1.ffffffffffffffffffffffffff8p+105L, -1.0);
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TEST_ff_f (pow, -1.0, 0x1.ffffffffffffffffffffffffff8p+106L, 1.0);
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# endif
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# if LDBL_MANT_DIG >= 113
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TEST_ff_f (pow, -1.0, 0x1.ffffffffffffffffffffffffffffp+112L, -1.0);
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TEST_ff_f (pow, -1.0, 0x1.ffffffffffffffffffffffffffffp+113L, 1.0);
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# endif
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#endif
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TEST_ff_f (pow, -1.0, max_value, 1.0);
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TEST_ff_f (pow, -2.0, 126, 0x1p126);
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TEST_ff_f (pow, -2.0, 127, -0x1p127);
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TEST_ff_f (pow, -2.0, -126, 0x1p-126);
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TEST_ff_f (pow, -2.0, -127, -0x1p-127);
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TEST_ff_f (pow, -2.0, -0xffffff, minus_zero);
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TEST_ff_f (pow, -2.0, -0x1fffffe, plus_zero);
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#ifndef TEST_FLOAT
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TEST_ff_f (pow, -2.0, -0x1.fffffffffffffp+52L, minus_zero);
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TEST_ff_f (pow, -2.0, -0x1.fffffffffffffp+53L, plus_zero);
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#endif
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#ifdef TEST_LDOUBLE
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# if LDBL_MANT_DIG >= 64
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TEST_ff_f (pow, -2.0, -0x1.fffffffffffffffep+63L, minus_zero);
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TEST_ff_f (pow, -2.0, -0x1.fffffffffffffffep+64L, plus_zero);
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# endif
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# if LDBL_MANT_DIG >= 106
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TEST_ff_f (pow, -2.0, -0x1.ffffffffffffffffffffffffff8p+105L, minus_zero);
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TEST_ff_f (pow, -2.0, -0x1.ffffffffffffffffffffffffff8p+106L, plus_zero);
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# endif
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# if LDBL_MANT_DIG >= 113
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TEST_ff_f (pow, -2.0, -0x1.ffffffffffffffffffffffffffffp+112L, minus_zero);
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TEST_ff_f (pow, -2.0, -0x1.ffffffffffffffffffffffffffffp+113L, plus_zero);
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# endif
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#endif
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TEST_ff_f (pow, -2.0, -max_value, plus_zero);
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TEST_ff_f (pow, -2.0, 0xffffff, minus_infty, OVERFLOW_EXCEPTION);
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TEST_ff_f (pow, -2.0, 0x1fffffe, plus_infty, OVERFLOW_EXCEPTION);
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#ifndef TEST_FLOAT
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TEST_ff_f (pow, -2.0, 0x1.fffffffffffffp+52L, minus_infty, OVERFLOW_EXCEPTION);
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TEST_ff_f (pow, -2.0, 0x1.fffffffffffffp+53L, plus_infty, OVERFLOW_EXCEPTION);
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#endif
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#ifdef TEST_LDOUBLE
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# if LDBL_MANT_DIG >= 64
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TEST_ff_f (pow, -2.0, 0x1.fffffffffffffffep+63L, minus_infty, OVERFLOW_EXCEPTION);
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TEST_ff_f (pow, -2.0, 0x1.fffffffffffffffep+64L, plus_infty, OVERFLOW_EXCEPTION);
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# endif
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# if LDBL_MANT_DIG >= 106
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TEST_ff_f (pow, -2.0, 0x1.ffffffffffffffffffffffffff8p+105L, minus_infty, OVERFLOW_EXCEPTION);
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TEST_ff_f (pow, -2.0, 0x1.ffffffffffffffffffffffffff8p+106L, plus_infty, OVERFLOW_EXCEPTION);
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# endif
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# if LDBL_MANT_DIG >= 113
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TEST_ff_f (pow, -2.0, 0x1.ffffffffffffffffffffffffffffp+112L, minus_infty, OVERFLOW_EXCEPTION);
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TEST_ff_f (pow, -2.0, 0x1.ffffffffffffffffffffffffffffp+113L, plus_infty, OVERFLOW_EXCEPTION);
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# endif
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#endif
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/* Bug 13873: OVERFLOW exception may be missing. */
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TEST_ff_f (pow, -2.0, max_value, plus_infty, OVERFLOW_EXCEPTION_OK);
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TEST_ff_f (pow, -max_value, 0.5, nan_value, INVALID_EXCEPTION);
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TEST_ff_f (pow, -max_value, 1.5, nan_value, INVALID_EXCEPTION);
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TEST_ff_f (pow, -max_value, 1000.5, nan_value, INVALID_EXCEPTION);
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TEST_ff_f (pow, -max_value, -2, plus_zero);
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TEST_ff_f (pow, -max_value, -3, minus_zero);
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TEST_ff_f (pow, -max_value, 2, plus_infty, OVERFLOW_EXCEPTION);
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TEST_ff_f (pow, -max_value, 3, minus_infty, OVERFLOW_EXCEPTION);
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TEST_ff_f (pow, -max_value, -0xffffff, minus_zero);
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TEST_ff_f (pow, -max_value, -0x1fffffe, plus_zero);
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#ifndef TEST_FLOAT
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TEST_ff_f (pow, -max_value, -0x1.fffffffffffffp+52L, minus_zero);
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TEST_ff_f (pow, -max_value, -0x1.fffffffffffffp+53L, plus_zero);
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#endif
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#ifdef TEST_LDOUBLE
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# if LDBL_MANT_DIG >= 64
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TEST_ff_f (pow, -max_value, -0x1.fffffffffffffffep+63L, minus_zero);
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TEST_ff_f (pow, -max_value, -0x1.fffffffffffffffep+64L, plus_zero);
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# endif
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# if LDBL_MANT_DIG >= 106
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TEST_ff_f (pow, -max_value, -0x1.ffffffffffffffffffffffffff8p+105L, minus_zero);
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TEST_ff_f (pow, -max_value, -0x1.ffffffffffffffffffffffffff8p+106L, plus_zero);
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# endif
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# if LDBL_MANT_DIG >= 113
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TEST_ff_f (pow, -max_value, -0x1.ffffffffffffffffffffffffffffp+112L, minus_zero);
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TEST_ff_f (pow, -max_value, -0x1.ffffffffffffffffffffffffffffp+113L, plus_zero);
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# endif
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#endif
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/* Bug 13872: spurious OVERFLOW exception may be present. */
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TEST_ff_f (pow, -max_value, -max_value, plus_zero, OVERFLOW_EXCEPTION_OK);
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TEST_ff_f (pow, -max_value, 0xffffff, minus_infty, OVERFLOW_EXCEPTION);
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TEST_ff_f (pow, -max_value, 0x1fffffe, plus_infty, OVERFLOW_EXCEPTION);
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#ifndef TEST_FLOAT
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TEST_ff_f (pow, -max_value, 0x1.fffffffffffffp+52L, minus_infty, OVERFLOW_EXCEPTION);
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TEST_ff_f (pow, -max_value, 0x1.fffffffffffffp+53L, plus_infty, OVERFLOW_EXCEPTION);
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#endif
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#ifdef TEST_LDOUBLE
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# if LDBL_MANT_DIG >= 64
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TEST_ff_f (pow, -max_value, 0x1.fffffffffffffffep+63L, minus_infty, OVERFLOW_EXCEPTION);
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TEST_ff_f (pow, -max_value, 0x1.fffffffffffffffep+64L, plus_infty, OVERFLOW_EXCEPTION);
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# endif
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# if LDBL_MANT_DIG >= 106
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TEST_ff_f (pow, -max_value, 0x1.ffffffffffffffffffffffffff8p+105L, minus_infty, OVERFLOW_EXCEPTION);
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TEST_ff_f (pow, -max_value, 0x1.ffffffffffffffffffffffffff8p+106L, plus_infty, OVERFLOW_EXCEPTION);
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# endif
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# if LDBL_MANT_DIG >= 113
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TEST_ff_f (pow, -max_value, 0x1.ffffffffffffffffffffffffffffp+112L, minus_infty, OVERFLOW_EXCEPTION);
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TEST_ff_f (pow, -max_value, 0x1.ffffffffffffffffffffffffffffp+113L, plus_infty, OVERFLOW_EXCEPTION);
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# endif
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#endif
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/* Bug 13873: OVERFLOW exception may be missing. */
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TEST_ff_f (pow, -max_value, max_value, plus_infty, OVERFLOW_EXCEPTION_OK);
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TEST_ff_f (pow, -0.5, 126, 0x1p-126);
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TEST_ff_f (pow, -0.5, 127, -0x1p-127);
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TEST_ff_f (pow, -0.5, -126, 0x1p126);
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TEST_ff_f (pow, -0.5, -127, -0x1p127);
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TEST_ff_f (pow, -0.5, -0xffffff, minus_infty, OVERFLOW_EXCEPTION);
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TEST_ff_f (pow, -0.5, -0x1fffffe, plus_infty, OVERFLOW_EXCEPTION);
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#ifndef TEST_FLOAT
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TEST_ff_f (pow, -0.5, -0x1.fffffffffffffp+52L, minus_infty, OVERFLOW_EXCEPTION);
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TEST_ff_f (pow, -0.5, -0x1.fffffffffffffp+53L, plus_infty, OVERFLOW_EXCEPTION);
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#endif
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#ifdef TEST_LDOUBLE
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# if LDBL_MANT_DIG >= 64
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TEST_ff_f (pow, -0.5, -0x1.fffffffffffffffep+63L, minus_infty, OVERFLOW_EXCEPTION);
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TEST_ff_f (pow, -0.5, -0x1.fffffffffffffffep+64L, plus_infty, OVERFLOW_EXCEPTION);
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# endif
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# if LDBL_MANT_DIG >= 106
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TEST_ff_f (pow, -0.5, -0x1.ffffffffffffffffffffffffff8p+105L, minus_infty, OVERFLOW_EXCEPTION);
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TEST_ff_f (pow, -0.5, -0x1.ffffffffffffffffffffffffff8p+106L, plus_infty, OVERFLOW_EXCEPTION);
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# endif
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# if LDBL_MANT_DIG >= 113
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TEST_ff_f (pow, -0.5, -0x1.ffffffffffffffffffffffffffffp+112L, minus_infty, OVERFLOW_EXCEPTION);
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TEST_ff_f (pow, -0.5, -0x1.ffffffffffffffffffffffffffffp+113L, plus_infty, OVERFLOW_EXCEPTION);
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# endif
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#endif
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/* Bug 13873: OVERFLOW exception may be missing. */
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TEST_ff_f (pow, -0.5, -max_value, plus_infty, OVERFLOW_EXCEPTION_OK);
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TEST_ff_f (pow, -0.5, 0xffffff, minus_zero);
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TEST_ff_f (pow, -0.5, 0x1fffffe, plus_zero);
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#ifndef TEST_FLOAT
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TEST_ff_f (pow, -0.5, 0x1.fffffffffffffp+52L, minus_zero);
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TEST_ff_f (pow, -0.5, 0x1.fffffffffffffp+53L, plus_zero);
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#endif
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#ifdef TEST_LDOUBLE
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# if LDBL_MANT_DIG >= 64
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TEST_ff_f (pow, -0.5, 0x1.fffffffffffffffep+63L, minus_zero);
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TEST_ff_f (pow, -0.5, 0x1.fffffffffffffffep+64L, plus_zero);
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# endif
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# if LDBL_MANT_DIG >= 106
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TEST_ff_f (pow, -0.5, 0x1.ffffffffffffffffffffffffff8p+105L, minus_zero);
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TEST_ff_f (pow, -0.5, 0x1.ffffffffffffffffffffffffff8p+106L, plus_zero);
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# endif
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# if LDBL_MANT_DIG >= 113
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TEST_ff_f (pow, -0.5, 0x1.ffffffffffffffffffffffffffffp+112L, minus_zero);
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TEST_ff_f (pow, -0.5, 0x1.ffffffffffffffffffffffffffffp+113L, plus_zero);
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# endif
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#endif
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TEST_ff_f (pow, -0.5, max_value, plus_zero);
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TEST_ff_f (pow, -min_value, 0.5, nan_value, INVALID_EXCEPTION);
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TEST_ff_f (pow, -min_value, 1.5, nan_value, INVALID_EXCEPTION);
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TEST_ff_f (pow, -min_value, 1000.5, nan_value, INVALID_EXCEPTION);
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TEST_ff_f (pow, -min_value, -2, plus_infty, OVERFLOW_EXCEPTION);
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TEST_ff_f (pow, -min_value, -3, minus_infty, OVERFLOW_EXCEPTION);
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TEST_ff_f (pow, -min_value, 1, -min_value);
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TEST_ff_f (pow, -min_value, 2, plus_zero);
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TEST_ff_f (pow, -min_value, 3, minus_zero);
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TEST_ff_f (pow, -min_value, -0xffffff, minus_infty, OVERFLOW_EXCEPTION);
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TEST_ff_f (pow, -min_value, -0x1fffffe, plus_infty, OVERFLOW_EXCEPTION);
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#ifndef TEST_FLOAT
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TEST_ff_f (pow, -min_value, -0x1.fffffffffffffp+52L, minus_infty, OVERFLOW_EXCEPTION);
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TEST_ff_f (pow, -min_value, -0x1.fffffffffffffp+53L, plus_infty, OVERFLOW_EXCEPTION);
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#endif
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#ifdef TEST_LDOUBLE
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# if LDBL_MANT_DIG >= 64
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TEST_ff_f (pow, -min_value, -0x1.fffffffffffffffep+63L, minus_infty, OVERFLOW_EXCEPTION);
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TEST_ff_f (pow, -min_value, -0x1.fffffffffffffffep+64L, plus_infty, OVERFLOW_EXCEPTION);
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# endif
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# if LDBL_MANT_DIG >= 106
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TEST_ff_f (pow, -min_value, -0x1.ffffffffffffffffffffffffff8p+105L, minus_infty, OVERFLOW_EXCEPTION);
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TEST_ff_f (pow, -min_value, -0x1.ffffffffffffffffffffffffff8p+106L, plus_infty, OVERFLOW_EXCEPTION);
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# endif
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# if LDBL_MANT_DIG >= 113
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TEST_ff_f (pow, -min_value, -0x1.ffffffffffffffffffffffffffffp+112L, minus_infty, OVERFLOW_EXCEPTION);
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TEST_ff_f (pow, -min_value, -0x1.ffffffffffffffffffffffffffffp+113L, plus_infty, OVERFLOW_EXCEPTION);
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# endif
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#endif
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/* Bug 13873: OVERFLOW exception may be missing. */
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TEST_ff_f (pow, -min_value, -max_value, plus_infty, OVERFLOW_EXCEPTION_OK);
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TEST_ff_f (pow, -min_value, 0xffffff, minus_zero);
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TEST_ff_f (pow, -min_value, 0x1fffffe, plus_zero);
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#ifndef TEST_FLOAT
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TEST_ff_f (pow, -min_value, 0x1.fffffffffffffp+52L, minus_zero);
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TEST_ff_f (pow, -min_value, 0x1.fffffffffffffp+53L, plus_zero);
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#endif
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#ifdef TEST_LDOUBLE
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# if LDBL_MANT_DIG >= 64
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TEST_ff_f (pow, -min_value, 0x1.fffffffffffffffep+63L, minus_zero);
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TEST_ff_f (pow, -min_value, 0x1.fffffffffffffffep+64L, plus_zero);
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# endif
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# if LDBL_MANT_DIG >= 106
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TEST_ff_f (pow, -min_value, 0x1.ffffffffffffffffffffffffff8p+105L, minus_zero);
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TEST_ff_f (pow, -min_value, 0x1.ffffffffffffffffffffffffff8p+106L, plus_zero);
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# endif
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# if LDBL_MANT_DIG >= 113
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TEST_ff_f (pow, -min_value, 0x1.ffffffffffffffffffffffffffffp+112L, minus_zero);
|
||||
TEST_ff_f (pow, -min_value, 0x1.ffffffffffffffffffffffffffffp+113L, plus_zero);
|
||||
# endif
|
||||
#endif
|
||||
/* Bug 13872: spurious OVERFLOW exception may be present. */
|
||||
TEST_ff_f (pow, -min_value, max_value, plus_zero, OVERFLOW_EXCEPTION_OK);
|
||||
|
||||
END (pow);
|
||||
}
|
||||
|
||||
|
||||
@ -114,7 +114,7 @@ ENTRY(__ieee754_pow)
|
||||
fucomp %st(1) // y : x
|
||||
fnstsw
|
||||
sahf
|
||||
jne 2f
|
||||
jne 3f
|
||||
|
||||
/* OK, we have an integer value for y. */
|
||||
popl %eax
|
||||
@ -157,7 +157,12 @@ ENTRY(__ieee754_pow)
|
||||
|
||||
cfi_adjust_cfa_offset (8)
|
||||
.align ALIGNARG(4)
|
||||
2: /* y is a real number. */
|
||||
2: /* y is a large integer (so even). */
|
||||
fxch // x : y
|
||||
fabs // |x| : y
|
||||
fxch // y : x
|
||||
.align ALIGNARG(4)
|
||||
3: /* y is a real number. */
|
||||
fxch // x : y
|
||||
fldl MO(one) // 1.0 : x : y
|
||||
fldl MO(limit) // 0.29 : 1.0 : x : y
|
||||
|
||||
@ -114,7 +114,7 @@ ENTRY(__ieee754_powf)
|
||||
fucomp %st(1) // y : x
|
||||
fnstsw
|
||||
sahf
|
||||
jne 2f
|
||||
jne 3f
|
||||
|
||||
/* OK, we have an integer value for y. */
|
||||
popl %edx
|
||||
@ -151,7 +151,12 @@ ENTRY(__ieee754_powf)
|
||||
|
||||
cfi_adjust_cfa_offset (4)
|
||||
.align ALIGNARG(4)
|
||||
2: /* y is a real number. */
|
||||
2: /* y is a large integer (so even). */
|
||||
fxch // x : y
|
||||
fabs // |x| : y
|
||||
fxch // y : x
|
||||
.align ALIGNARG(4)
|
||||
3: /* y is a real number. */
|
||||
fxch // x : y
|
||||
fldl MO(one) // 1.0 : x : y
|
||||
fldl MO(limit) // 0.29 : 1.0 : x : y
|
||||
|
||||
@ -117,7 +117,7 @@ ENTRY(__ieee754_powl)
|
||||
fucomp %st(1) // y : x
|
||||
fnstsw
|
||||
sahf
|
||||
jne 2f
|
||||
jne 3f
|
||||
|
||||
/* OK, we have an integer value for y. */
|
||||
popl %eax
|
||||
@ -160,7 +160,14 @@ ENTRY(__ieee754_powl)
|
||||
|
||||
cfi_adjust_cfa_offset (8)
|
||||
.align ALIGNARG(4)
|
||||
2: /* y is a real number. */
|
||||
2: // y is a large integer (absolute value at least 1L<<63), but
|
||||
// may be odd unless at least 1L<<64. So it may be necessary
|
||||
// to adjust the sign of a negative result afterwards.
|
||||
fxch // x : y
|
||||
fabs // |x| : y
|
||||
fxch // y : |x|
|
||||
.align ALIGNARG(4)
|
||||
3: /* y is a real number. */
|
||||
fxch // x : y
|
||||
fldl MO(one) // 1.0 : x : y
|
||||
fldl MO(limit) // 0.29 : 1.0 : x : y
|
||||
@ -190,18 +197,51 @@ ENTRY(__ieee754_powl)
|
||||
f2xm1 // 2^fract(y*log2(x))-1 : int(y*log2(x))
|
||||
faddl MO(one) // 2^fract(y*log2(x)) : int(y*log2(x))
|
||||
fscale // 2^fract(y*log2(x))*2^int(y*log2(x)) : int(y*log2(x))
|
||||
addl $8, %esp
|
||||
cfi_adjust_cfa_offset (-8)
|
||||
fstp %st(1) // 2^fract(y*log2(x))*2^int(y*log2(x))
|
||||
ret
|
||||
jmp 29f
|
||||
|
||||
cfi_adjust_cfa_offset (8)
|
||||
28: fstp %st(1) // y*log2(x)
|
||||
fldl MO(one) // 1 : y*log2(x)
|
||||
fscale // 2^(y*log2(x)) : y*log2(x)
|
||||
addl $8, %esp
|
||||
cfi_adjust_cfa_offset (-8)
|
||||
fstp %st(1) // 2^(y*log2(x))
|
||||
29: testb $2, %dh
|
||||
jz 292f
|
||||
// x is negative. If y is an odd integer, negate the result.
|
||||
fldt 24(%esp) // y : abs(result)
|
||||
fld %st // y : y : abs(result)
|
||||
fabs // |y| : y : abs(result)
|
||||
fcompl MO(p64) // y : abs(result)
|
||||
fnstsw
|
||||
sahf
|
||||
jnc 291f
|
||||
fldl MO(p63) // p63 : y : abs(result)
|
||||
fxch // y : p63 : abs(result)
|
||||
fprem // y%p63 : p63 : abs(result)
|
||||
fstp %st(1) // y%p63 : abs(result)
|
||||
|
||||
// We must find out whether y is an odd integer.
|
||||
fld %st // y : y : abs(result)
|
||||
fistpll (%esp) // y : abs(result)
|
||||
fildll (%esp) // int(y) : y : abs(result)
|
||||
fucompp // abs(result)
|
||||
fnstsw
|
||||
sahf
|
||||
jne 292f
|
||||
|
||||
// OK, the value is an integer, but is it odd?
|
||||
popl %eax
|
||||
cfi_adjust_cfa_offset (-4)
|
||||
popl %edx
|
||||
cfi_adjust_cfa_offset (-4)
|
||||
andb $1, %al
|
||||
jz 290f // jump if not odd
|
||||
// It's an odd integer.
|
||||
fchs
|
||||
290: ret
|
||||
cfi_adjust_cfa_offset (8)
|
||||
291: fstp %st(0) // abs(result)
|
||||
292: addl $8, %esp
|
||||
cfi_adjust_cfa_offset (-8)
|
||||
ret
|
||||
|
||||
// pow(x,±0) = 1
|
||||
|
||||
@ -508,6 +508,9 @@ __kernel_standard(double x, double y, int type)
|
||||
exc.type = UNDERFLOW;
|
||||
exc.name = type < 100 ? "pow" : (type < 200 ? "powf" : "powl");
|
||||
exc.retval = zero;
|
||||
y *= 0.5;
|
||||
if (x < zero && __rint (y) != y)
|
||||
exc.retval = -zero;
|
||||
if (_LIB_VERSION == _POSIX_)
|
||||
__set_errno (ERANGE);
|
||||
else if (!matherr(&exc)) {
|
||||
@ -1004,6 +1007,8 @@ long double
|
||||
__kernel_standard_l (long double x, long double y, int type)
|
||||
{
|
||||
double dx, dy;
|
||||
struct exception exc;
|
||||
|
||||
if (isfinite (x))
|
||||
{
|
||||
long double ax = fabsl (x);
|
||||
@ -1028,5 +1033,52 @@ __kernel_standard_l (long double x, long double y, int type)
|
||||
}
|
||||
else
|
||||
dy = y;
|
||||
return __kernel_standard (dx, dy, type);
|
||||
|
||||
switch (type)
|
||||
{
|
||||
case 221:
|
||||
/* powl (x, y) overflow. */
|
||||
exc.arg1 = dx;
|
||||
exc.arg2 = dy;
|
||||
exc.type = OVERFLOW;
|
||||
exc.name = "powl";
|
||||
if (_LIB_VERSION == _SVID_)
|
||||
{
|
||||
exc.retval = HUGE;
|
||||
y *= 0.5;
|
||||
if (x < zero && __rintl (y) != y)
|
||||
exc.retval = -HUGE;
|
||||
}
|
||||
else
|
||||
{
|
||||
exc.retval = HUGE_VAL;
|
||||
y *= 0.5;
|
||||
if (x < zero && __rintl (y) != y)
|
||||
exc.retval = -HUGE_VAL;
|
||||
}
|
||||
if (_LIB_VERSION == _POSIX_)
|
||||
__set_errno (ERANGE);
|
||||
else if (!matherr (&exc))
|
||||
__set_errno (ERANGE);
|
||||
return exc.retval;
|
||||
|
||||
case 222:
|
||||
/* powl (x, y) underflow. */
|
||||
exc.arg1 = dx;
|
||||
exc.arg2 = dy;
|
||||
exc.type = UNDERFLOW;
|
||||
exc.name = "powl";
|
||||
exc.retval = zero;
|
||||
y *= 0.5;
|
||||
if (x < zero && __rintl (y) != y)
|
||||
exc.retval = -zero;
|
||||
if (_LIB_VERSION == _POSIX_)
|
||||
__set_errno (ERANGE);
|
||||
else if (!matherr (&exc))
|
||||
__set_errno (ERANGE);
|
||||
return exc.retval;
|
||||
|
||||
default:
|
||||
return __kernel_standard (dx, dy, type);
|
||||
}
|
||||
}
|
||||
|
||||
@ -107,7 +107,7 @@ ENTRY(__ieee754_powl)
|
||||
fistpll -8(%rsp) // y : x
|
||||
fildll -8(%rsp) // int(y) : y : x
|
||||
fucomip %st(1),%st // y : x
|
||||
jne 2f
|
||||
jne 3f
|
||||
|
||||
/* OK, we have an integer value for y. */
|
||||
mov -8(%rsp),%eax
|
||||
@ -145,7 +145,14 @@ ENTRY(__ieee754_powl)
|
||||
ret
|
||||
|
||||
.align ALIGNARG(4)
|
||||
2: /* y is a real number. */
|
||||
2: // y is a large integer (absolute value at least 1L<<63), but
|
||||
// may be odd unless at least 1L<<64. So it may be necessary
|
||||
// to adjust the sign of a negative result afterwards.
|
||||
fxch // x : y
|
||||
fabs // |x| : y
|
||||
fxch // y : |x|
|
||||
.align ALIGNARG(4)
|
||||
3: /* y is a real number. */
|
||||
fxch // x : y
|
||||
fldl MO(one) // 1.0 : x : y
|
||||
fldl MO(limit) // 0.29 : 1.0 : x : y
|
||||
@ -176,13 +183,45 @@ ENTRY(__ieee754_powl)
|
||||
faddl MO(one) // 2^fract(y*log2(x)) : int(y*log2(x))
|
||||
fscale // 2^fract(y*log2(x))*2^int(y*log2(x)) : int(y*log2(x))
|
||||
fstp %st(1) // 2^fract(y*log2(x))*2^int(y*log2(x))
|
||||
ret
|
||||
jmp 29f
|
||||
|
||||
28: fstp %st(1) // y*log2(x)
|
||||
fldl MO(one) // 1 : y*log2(x)
|
||||
fscale // 2^(y*log2(x)) : y*log2(x)
|
||||
fstp %st(1) // 2^(y*log2(x))
|
||||
ret
|
||||
29: testb $2, %dh
|
||||
jz 292f
|
||||
// x is negative. If y is an odd integer, negate the result.
|
||||
fldt 24(%rsp) // y : abs(result)
|
||||
fldl MO(p64) // 1L<<64 : y : abs(result)
|
||||
fld %st(1) // y : 1L<<64 : y : abs(result)
|
||||
fabs // |y| : 1L<<64 : y : abs(result)
|
||||
fcomip %st(1), %st // 1L<<64 : y : abs(result)
|
||||
fstp %st(0) // y : abs(result)
|
||||
jnc 291f
|
||||
fldl MO(p63) // p63 : y : abs(result)
|
||||
fxch // y : p63 : abs(result)
|
||||
fprem // y%p63 : p63 : abs(result)
|
||||
fstp %st(1) // y%p63 : abs(result)
|
||||
|
||||
// We must find out whether y is an odd integer.
|
||||
fld %st // y : y : abs(result)
|
||||
fistpll -8(%rsp) // y : abs(result)
|
||||
fildll -8(%rsp) // int(y) : y : abs(result)
|
||||
fucomip %st(1),%st // y : abs(result)
|
||||
ffreep %st // abs(result)
|
||||
jne 292f
|
||||
|
||||
// OK, the value is an integer, but is it odd?
|
||||
mov -8(%rsp), %eax
|
||||
mov -4(%rsp), %edx
|
||||
andb $1, %al
|
||||
jz 290f // jump if not odd
|
||||
// It's an odd integer.
|
||||
fchs
|
||||
290: ret
|
||||
291: fstp %st(0) // abs(result)
|
||||
292: ret
|
||||
|
||||
// pow(x,±0) = 1
|
||||
.align ALIGNARG(4)
|
||||
|
||||
Loading…
x
Reference in New Issue
Block a user