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