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Updated dependencies: * GMP 6.2.1 * ISL 0.24 * MPL 1.2.1 * MPFR 4.1.0 The dependencies were pulled in by running the ./contrib/download_prerequisites script and then manually removing the symbolic links and archives, and renaming the directories (i.e mv isl-0.24 to isl)
290 lines
8.1 KiB
C
290 lines
8.1 KiB
C
/* ttan -- test file for mpc_tan.
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Copyright (C) 2008, 2011, 2012, 2013, 2020 INRIA
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This file is part of GNU MPC.
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GNU MPC is free software; you can redistribute it and/or modify it under
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the terms of the GNU Lesser General Public License as published by the
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Free Software Foundation; either version 3 of the License, or (at your
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option) any later version.
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GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY
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WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS
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FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for
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more details.
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You should have received a copy of the GNU Lesser General Public License
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along with this program. If not, see http://www.gnu.org/licenses/ .
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*/
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#include <stdlib.h>
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#include "mpc-tests.h"
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static void
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pure_real_argument (void)
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{
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/* tan(x -i*0) = tan(x) -i*0 */
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/* tan(x +i*0) = tan(x) +i*0 */
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mpfr_t x;
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mpfr_t tan_x;
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mpc_t z;
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mpc_t tan_z;
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mpfr_init2 (x, 79);
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mpfr_init2 (tan_x, 113);
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mpc_init2 (z, 79);
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mpc_init2 (tan_z, 113);
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/* tan(1 +i*0) = tan(1) +i*0 */
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mpc_set_ui_ui (z, 1, 0, MPC_RNDNN);
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mpfr_set_ui (x, 1, MPFR_RNDN);
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mpfr_tan (tan_x, x, MPFR_RNDN);
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mpc_tan (tan_z, z, MPC_RNDNN);
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if (mpfr_cmp (mpc_realref (tan_z), tan_x) != 0
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|| !mpfr_zero_p (mpc_imagref (tan_z)) || mpfr_signbit (mpc_imagref (tan_z)))
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{
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printf ("mpc_tan(1 + i * 0) failed\n");
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exit (1);
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}
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/* tan(1 -i*0) = tan(1) -i*0 */
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mpc_conj (z, z, MPC_RNDNN);
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mpc_tan (tan_z, z, MPC_RNDNN);
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if (mpfr_cmp (mpc_realref (tan_z), tan_x) != 0
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|| !mpfr_zero_p (mpc_imagref (tan_z)) || !mpfr_signbit (mpc_imagref (tan_z)))
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{
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printf ("mpc_tan(1 - i * 0) failed\n");
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exit (1);
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}
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/* tan(Pi/2 +i*0) = +Inf +i*0 */
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mpfr_const_pi (x, MPFR_RNDN);
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mpfr_div_2ui (x, x, 1, MPFR_RNDN);
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mpfr_set (mpc_realref (z), x, MPFR_RNDN);
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mpfr_set_ui (mpc_imagref (z), 0, MPFR_RNDN);
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mpfr_tan (tan_x, x, MPFR_RNDN);
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mpc_tan (tan_z, z, MPC_RNDNN);
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if (mpfr_cmp (mpc_realref (tan_z), tan_x) != 0
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|| !mpfr_zero_p (mpc_imagref (tan_z)) || mpfr_signbit (mpc_imagref (tan_z)))
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{
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printf ("mpc_tan(Pi/2 + i * 0) failed\n");
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exit (1);
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}
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/* tan(Pi/2 -i*0) = +Inf -i*0 */
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mpc_conj (z, z, MPC_RNDNN);
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mpc_tan (tan_z, z, MPC_RNDNN);
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if (mpfr_cmp (mpc_realref (tan_z), tan_x) != 0
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|| !mpfr_zero_p (mpc_imagref (tan_z)) || !mpfr_signbit (mpc_imagref (tan_z)))
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{
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printf ("mpc_tan(Pi/2 - i * 0) failed\n");
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exit (1);
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}
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/* tan(-Pi/2 +i*0) = -Inf +i*0 */
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mpfr_neg (x, x, MPFR_RNDN);
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mpc_neg (z, z, MPC_RNDNN);
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mpfr_tan (tan_x, x, MPFR_RNDN);
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mpc_tan (tan_z, z, MPC_RNDNN);
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if (mpfr_cmp (mpc_realref (tan_z), tan_x) != 0
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|| !mpfr_zero_p (mpc_imagref (tan_z)) || mpfr_signbit (mpc_imagref (tan_z)))
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{
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printf ("mpc_tan(-Pi/2 + i * 0) failed\n");
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exit (1);
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}
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/* tan(-Pi/2 -i*0) = -Inf -i*0 */
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mpc_conj (z, z, MPC_RNDNN);
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mpc_tan (tan_z, z, MPC_RNDNN);
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if (mpfr_cmp (mpc_realref (tan_z), tan_x) != 0
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|| !mpfr_zero_p (mpc_imagref (tan_z)) || !mpfr_signbit (mpc_imagref (tan_z)))
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{
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printf ("mpc_tan(-Pi/2 - i * 0) failed\n");
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exit (1);
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}
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mpc_clear (tan_z);
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mpc_clear (z);
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mpfr_clear (tan_x);
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mpfr_clear (x);
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}
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static void
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pure_imaginary_argument (void)
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{
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/* tan(-0 +i*y) = -0 +i*tanh(y) */
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/* tan(+0 +i*y) = +0 +i*tanh(y) */
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mpfr_t y;
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mpfr_t tanh_y;
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mpc_t z;
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mpc_t tan_z;
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mpfr_prec_t prec = (mpfr_prec_t) 111;
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mpfr_init2 (y, 2);
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mpfr_init2 (tanh_y, prec);
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mpc_init2 (z, 2);
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mpc_init2 (tan_z, prec);
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/* tan(0 +i) = +0 +i*tanh(1) */
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mpc_set_ui_ui (z, 0, 1, MPC_RNDNN);
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mpfr_set_ui (y, 1, MPFR_RNDN);
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mpfr_tanh (tanh_y, y, MPFR_RNDN);
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mpc_tan (tan_z, z, MPC_RNDNN);
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if (mpfr_cmp (mpc_imagref (tan_z), tanh_y) != 0
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|| !mpfr_zero_p (mpc_realref (tan_z)) || mpfr_signbit (mpc_realref (tan_z)))
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{
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mpc_t c99;
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mpc_init2 (c99, prec);
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mpfr_set_ui (mpc_realref (c99), 0, MPFR_RNDN);
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mpfr_set (mpc_imagref (c99), tanh_y, MPFR_RNDN);
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TEST_FAILED ("mpc_tan", z, tan_z, c99, MPC_RNDNN);
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}
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/* tan(0 -i) = +0 +i*tanh(-1) */
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mpc_conj (z, z, MPC_RNDNN);
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mpfr_neg (tanh_y, tanh_y, MPFR_RNDN);
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mpc_tan (tan_z, z, MPC_RNDNN);
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if (mpfr_cmp (mpc_imagref (tan_z), tanh_y) != 0
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|| !mpfr_zero_p (mpc_realref (tan_z)) || mpfr_signbit (mpc_realref (tan_z)))
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{
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mpc_t c99;
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mpc_init2 (c99, prec);
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mpfr_set_ui (mpc_realref (c99), 0, MPFR_RNDN);
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mpfr_set (mpc_imagref (c99), tanh_y, MPFR_RNDN);
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TEST_FAILED ("mpc_tan", z, tan_z, c99, MPC_RNDNN);
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}
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/* tan(-0 +i) = -0 +i*tanh(1) */
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mpc_neg (z, z, MPC_RNDNN);
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mpfr_neg (tanh_y, tanh_y, MPFR_RNDN);
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mpc_tan (tan_z, z, MPC_RNDNN);
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if (mpfr_cmp (mpc_imagref (tan_z), tanh_y) != 0
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|| !mpfr_zero_p (mpc_realref (tan_z)) || !mpfr_signbit (mpc_realref (tan_z)))
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{
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mpc_t c99;
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mpc_init2 (c99, prec);
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mpfr_set_ui (mpc_realref (c99), 0, MPFR_RNDN);
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mpfr_set (mpc_imagref (c99), tanh_y, MPFR_RNDN);
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TEST_FAILED ("mpc_tan", z, tan_z, c99, MPC_RNDNN);
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}
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/* tan(-0 -i) = -0 +i*tanh(-1) */
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mpc_conj (z, z, MPC_RNDNN);
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mpfr_neg (tanh_y, tanh_y, MPFR_RNDN);
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mpc_tan (tan_z, z, MPC_RNDNN);
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if (mpfr_cmp (mpc_imagref (tan_z), tanh_y) != 0
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|| !mpfr_zero_p (mpc_realref (tan_z)) || !mpfr_signbit (mpc_realref (tan_z)))
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{
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mpc_t c99;
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mpc_init2 (c99, prec);
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mpfr_set_ui (mpc_realref (c99), 0, MPFR_RNDN);
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mpfr_set (mpc_imagref (c99), tanh_y, MPFR_RNDN);
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TEST_FAILED ("mpc_tan", z, tan_z, c99, MPC_RNDNN);
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}
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mpc_clear (tan_z);
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mpc_clear (z);
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mpfr_clear (tanh_y);
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mpfr_clear (y);
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}
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/* test with reduced exponent range */
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static void
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bug20200211 (void)
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{
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mpfr_exp_t emin = mpfr_get_emin ();
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mpc_t x, z, zr;
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mpfr_set_emin (-148);
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mpc_init2 (x, 24);
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mpc_init2 (z, 24);
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mpc_init2 (zr, 24);
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mpfr_set_flt (mpc_realref (x), 0x3.b32d48p24, MPFR_RNDN);
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mpfr_set_flt (mpc_imagref (x), -0x48.08bd0p0, MPFR_RNDN);
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mpc_tan (z, x, MPC_RNDNN);
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/* the real part should be 1.8638349976774607754968796608e-63,
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but since that underflows, we should get +0 */
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mpfr_set_flt (mpc_realref (zr), +0.0f, MPFR_RNDN);
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mpfr_set_flt (mpc_imagref (zr), -1.0f, MPFR_RNDN);
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if (mpc_cmp (z, zr))
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{
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printf ("Incorrect tangent with reduced exponent range:\n");
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mpfr_printf ("Expected (%Re,%Re)\n", mpc_realref (zr), mpc_imagref (zr));
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mpfr_printf ("Got (%Re,%Re)\n", mpc_realref (z), mpc_imagref (z));
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exit (1);
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}
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mpc_clear (x);
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mpc_clear (z);
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mpc_clear (zr);
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mpfr_set_emin (emin);
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}
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/* test failing with gcc 5.4.0, line 127 of tan.dat */
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static void
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bug20200301 (void)
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{
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mpc_t x, z, zr;
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int inex;
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mpc_init2 (x, 53);
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mpc_init2 (z, 53);
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mpc_init2 (zr, 53);
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mpfr_set_d (mpc_realref (x), 0x4580CBF242683p-3, MPFR_RNDN);
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mpfr_set_d (mpc_imagref (x), -0x1B3E8A3660D279p-3, MPFR_RNDN);
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inex = mpc_tan (z, x, MPC_RNDNN);
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mpfr_set_d (mpc_realref (zr), -0.0, MPFR_RNDN);
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mpfr_set_d (mpc_imagref (zr), -1.0, MPFR_RNDN);
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if (mpc_cmp (z, zr) != 0 || mpfr_signbit (mpc_realref (z)) == 0 ||
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MPC_INEX_RE(inex) <= 0 || MPC_INEX_IM(inex) >= 0)
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{
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printf ("Incorrect tangent (bug20200301):\n");
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mpfr_printf ("Expected (%Re,%Re)\n", mpc_realref (zr), mpc_imagref (zr));
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mpfr_printf ("Got (%Re,%Re)\n", mpc_realref (z), mpc_imagref (z));
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mpfr_printf ("expected ternary value (+1, -1)\n");
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mpfr_printf ("got ternary value (%d, %d)\n", MPC_INEX_RE(inex),
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MPC_INEX_IM(inex));
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exit (1);
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}
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mpc_clear (x);
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mpc_clear (z);
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mpc_clear (zr);
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}
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#define MPC_FUNCTION_CALL \
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P[0].mpc_inex = mpc_tan (P[1].mpc, P[2].mpc, P[3].mpc_rnd)
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#define MPC_FUNCTION_CALL_REUSE_OP1 \
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P[0].mpc_inex = mpc_tan (P[1].mpc, P[1].mpc, P[3].mpc_rnd)
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#include "data_check.tpl"
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#include "tgeneric.tpl"
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int
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main (void)
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{
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test_start ();
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bug20200301 ();
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bug20200211 ();
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data_check_template ("tan.dsc", "tan.dat");
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tgeneric_template ("tan.dsc", 2, 512, 7, 4);
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/* FIXME: remove them? */
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pure_real_argument ();
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pure_imaginary_argument ();
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test_end ();
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return 0;
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}
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