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Fix cacos (+Inf + finite*i) in round-downward mode (bug 16928).
According to C99/C11 Annex G, cacos applied to a value with real part +Inf and finite imaginary part should produce a result with real part +0. glibc wrongly produces a result with real part -0 in FE_DOWNWARD mode. This patch fixes this by checking for zero results in the relevant case of non-finite arguments (where there should never be a result with -0 real part), and converts the tests of cacos to ALL_RM_TEST. Tested x86_64 and x86 and ulps updated accordingly. [BZ #16928] * math/s_cacos.c (__cacos): Ensure zero real part of result from non-finite arguments is +0. * math/s_cacosf.c (__cacosf): Likewise. * math/s_cacosl.c (__cacosl): Likewise. * math/libm-test.inc (cacos_test): Use ALL_RM_TEST. * sysdeps/i386/fpu/libm-test-ulps: Update. * sysdeps/x86_64/fpu/libm-test-ulps: Likewise.
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@ -1,5 +1,14 @@
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2014-05-14 Joseph Myers <joseph@codesourcery.com>
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[BZ #16928]
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* math/s_cacos.c (__cacos): Ensure zero real part of result from
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non-finite arguments is +0.
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* math/s_cacosf.c (__cacosf): Likewise.
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* math/s_cacosl.c (__cacosl): Likewise.
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* math/libm-test.inc (cacos_test): Use ALL_RM_TEST.
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* sysdeps/i386/fpu/libm-test-ulps: Update.
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* sysdeps/x86_64/fpu/libm-test-ulps: Likewise.
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[BZ #16927]
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* sysdeps/i386/fpu/e_acosh.S (__ieee754_acosh): Use fabs on x-1
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value.
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2
NEWS
2
NEWS
@ -17,7 +17,7 @@ Version 2.20
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16713, 16714, 16731, 16739, 16740, 16743, 16754, 16758, 16759, 16760,
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16770, 16786, 16789, 16791, 16799, 16800, 16815, 16823, 16824, 16831,
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16838, 16854, 16876, 16877, 16885, 16888, 16890, 16912, 16916, 16922,
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16927, 16932.
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16927, 16928, 16932.
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* The minimum Linux kernel version that this version of the GNU C Library
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can be used with is 2.6.32.
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@ -2615,9 +2615,7 @@ static const struct test_c_c_data cacos_test_data[] =
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static void
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cacos_test (void)
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{
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START (cacos, 0);
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RUN_TEST_LOOP_c_c (cacos, cacos_test_data, );
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END_COMPLEX;
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ALL_RM_TEST (cacos, 0, cacos_test_data, RUN_TEST_LOOP_c_c, END_COMPLEX);
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}
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static const struct test_c_c_data cacosh_test_data[] =
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@ -34,6 +34,8 @@ __cacos (__complex__ double x)
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y = __casin (x);
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__real__ res = (double) M_PI_2 - __real__ y;
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if (__real__ res == 0.0)
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__real__ res = 0.0;
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__imag__ res = -__imag__ y;
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}
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else
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@ -34,6 +34,8 @@ __cacosf (__complex__ float x)
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y = __casinf (x);
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__real__ res = (float) M_PI_2 - __real__ y;
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if (__real__ res == 0.0f)
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__real__ res = 0.0f;
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__imag__ res = -__imag__ y;
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}
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else
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@ -34,6 +34,8 @@ __cacosl (__complex__ long double x)
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y = __casinl (x);
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__real__ res = M_PI_2l - __real__ y;
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if (__real__ res == 0.0L)
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__real__ res = 0.0L;
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__imag__ res = -__imag__ y;
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}
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else
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@ -173,6 +173,54 @@ ifloat: 1
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ildouble: 2
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ldouble: 2
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Function: Real part of "cacos_downward":
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double: 2
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float: 1
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idouble: 2
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ifloat: 1
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ildouble: 2
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ldouble: 2
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Function: Imaginary part of "cacos_downward":
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double: 3
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float: 3
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idouble: 3
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ifloat: 3
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ildouble: 5
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ldouble: 5
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Function: Real part of "cacos_towardzero":
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double: 2
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float: 1
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idouble: 2
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ifloat: 1
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ildouble: 2
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ldouble: 2
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Function: Imaginary part of "cacos_towardzero":
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double: 3
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float: 3
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idouble: 3
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ifloat: 3
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ildouble: 5
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ldouble: 5
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Function: Real part of "cacos_upward":
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double: 2
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float: 2
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idouble: 2
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ifloat: 2
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ildouble: 2
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ldouble: 2
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Function: Imaginary part of "cacos_upward":
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double: 4
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float: 4
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idouble: 4
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ifloat: 4
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ildouble: 5
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ldouble: 5
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Function: Real part of "cacosh":
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double: 1
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float: 1
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@ -199,6 +199,54 @@ ifloat: 2
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ildouble: 2
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ldouble: 2
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Function: Real part of "cacos_downward":
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double: 1
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float: 2
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idouble: 1
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ifloat: 2
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ildouble: 2
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ldouble: 2
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Function: Imaginary part of "cacos_downward":
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double: 5
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float: 3
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idouble: 5
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ifloat: 3
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ildouble: 5
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ldouble: 5
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Function: Real part of "cacos_towardzero":
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double: 1
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float: 2
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idouble: 1
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ifloat: 2
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ildouble: 2
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ldouble: 2
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Function: Imaginary part of "cacos_towardzero":
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double: 5
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float: 3
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idouble: 5
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ifloat: 3
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ildouble: 5
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ldouble: 5
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Function: Real part of "cacos_upward":
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double: 2
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float: 2
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idouble: 2
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ifloat: 2
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ildouble: 2
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ldouble: 2
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Function: Imaginary part of "cacos_upward":
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double: 4
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float: 4
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idouble: 4
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ifloat: 4
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ildouble: 5
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ldouble: 5
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Function: Real part of "cacosh":
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double: 1
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float: 2
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