-/* ttan -- test file for mpc_tan.
+/* test file for mpc_tan.
-Copyright (C) 2008, 2011 INRIA
+Copyright (C) 2008 Philippe Th\'eveny, Paul Zimmermann, Andreas Enge
-This file is part of GNU MPC.
+This file is part of the MPC Library.
-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
+The MPC Library 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 2.1 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.
+The MPC Library 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/ .
-*/
+along with the MPC Library; see the file COPYING.LIB. If not, write to
+the Free Software Foundation, Inc., 59 Temple Place - Suite 330, Boston,
+MA 02111-1307, USA. */
#include <stdlib.h>
#include "mpc-tests.h"
static void
+test_failed (mpc_t op, mpc_t get, mpc_t expected)
+{
+ printf ("mpc_tan(op) failed\n with ");
+ OUT (op);
+ printf (" ");
+ OUT (get);
+ OUT (expected);
+ exit (1);
+}
+
+static void
pure_real_argument (void)
{
/* tan(x -i*0) = tan(x) -i*0 */
mpfr_set_ui (x, 1, GMP_RNDN);
mpfr_tan (tan_x, x, GMP_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)))
+ if (mpfr_cmp (MPC_RE (tan_z), tan_x) != 0
+ || !mpfr_zero_p (MPC_IM (tan_z)) || mpfr_signbit (MPC_IM (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)))
+ if (mpfr_cmp (MPC_RE (tan_z), tan_x) != 0
+ || !mpfr_zero_p (MPC_IM (tan_z)) || !mpfr_signbit (MPC_IM (tan_z)))
{
printf ("mpc_tan(1 - i * 0) failed\n");
exit (1);
/* tan(Pi/2 +i*0) = +Inf +i*0 */
mpfr_const_pi (x, GMP_RNDN);
mpfr_div_2ui (x, x, 1, GMP_RNDN);
- mpfr_set (mpc_realref (z), x, GMP_RNDN);
- mpfr_set_ui (mpc_imagref (z), 0, GMP_RNDN);
+ mpfr_set (MPC_RE (z), x, GMP_RNDN);
+ mpfr_set_ui (MPC_IM (z), 0, GMP_RNDN);
mpfr_tan (tan_x, x, GMP_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)))
+ if (mpfr_cmp (MPC_RE (tan_z), tan_x) != 0
+ || !mpfr_zero_p (MPC_IM (tan_z)) || mpfr_signbit (MPC_IM (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)))
+ if (mpfr_cmp (MPC_RE (tan_z), tan_x) != 0
+ || !mpfr_zero_p (MPC_IM (tan_z)) || !mpfr_signbit (MPC_IM (tan_z)))
{
printf ("mpc_tan(Pi/2 - i * 0) failed\n");
exit (1);
mpc_neg (z, z, MPC_RNDNN);
mpfr_tan (tan_x, x, GMP_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)))
+ if (mpfr_cmp (MPC_RE (tan_z), tan_x) != 0
+ || !mpfr_zero_p (MPC_IM (tan_z)) || mpfr_signbit (MPC_IM (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)))
+ if (mpfr_cmp (MPC_RE (tan_z), tan_x) != 0
+ || !mpfr_zero_p (MPC_IM (tan_z)) || !mpfr_signbit (MPC_IM (tan_z)))
{
printf ("mpc_tan(-Pi/2 - i * 0) failed\n");
exit (1);
mpfr_t tanh_y;
mpc_t z;
mpc_t tan_z;
- mpfr_prec_t prec = (mpfr_prec_t) 111;
+ mp_prec_t prec = (mp_prec_t) 111;
mpfr_init2 (y, 2);
mpfr_init2 (tanh_y, prec);
mpfr_set_ui (y, 1, GMP_RNDN);
mpfr_tanh (tanh_y, y, GMP_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)))
+ if (mpfr_cmp (MPC_IM (tan_z), tanh_y) != 0
+ || !mpfr_zero_p (MPC_RE (tan_z)) || mpfr_signbit (MPC_RE (tan_z)))
{
mpc_t c99;
mpc_init2 (c99, prec);
- mpfr_set_ui (mpc_realref (c99), 0, GMP_RNDN);
- mpfr_set (mpc_imagref (c99), tanh_y, GMP_RNDN);
+ mpfr_set_ui (MPC_RE (c99), 0, GMP_RNDN);
+ mpfr_set (MPC_IM (c99), tanh_y, GMP_RNDN);
- TEST_FAILED ("mpc_tan", z, tan_z, c99, MPC_RNDNN);
+ test_failed (z, tan_z, c99);
}
/* tan(0 -i) = +0 +i*tanh(-1) */
mpc_conj (z, z, MPC_RNDNN);
mpfr_neg (tanh_y, tanh_y, GMP_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)))
+ if (mpfr_cmp (MPC_IM (tan_z), tanh_y) != 0
+ || !mpfr_zero_p (MPC_RE (tan_z)) || mpfr_signbit (MPC_RE (tan_z)))
{
mpc_t c99;
mpc_init2 (c99, prec);
- mpfr_set_ui (mpc_realref (c99), 0, GMP_RNDN);
- mpfr_set (mpc_imagref (c99), tanh_y, GMP_RNDN);
+ mpfr_set_ui (MPC_RE (c99), 0, GMP_RNDN);
+ mpfr_set (MPC_IM (c99), tanh_y, GMP_RNDN);
- TEST_FAILED ("mpc_tan", z, tan_z, c99, MPC_RNDNN);
+ test_failed (z, tan_z, c99);
}
/* tan(-0 +i) = -0 +i*tanh(1) */
mpc_neg (z, z, MPC_RNDNN);
mpfr_neg (tanh_y, tanh_y, GMP_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)))
+ if (mpfr_cmp (MPC_IM (tan_z), tanh_y) != 0
+ || !mpfr_zero_p (MPC_RE (tan_z)) || !mpfr_signbit (MPC_RE (tan_z)))
{
mpc_t c99;
mpc_init2 (c99, prec);
- mpfr_set_ui (mpc_realref (c99), 0, GMP_RNDN);
- mpfr_set (mpc_imagref (c99), tanh_y, GMP_RNDN);
+ mpfr_set_ui (MPC_RE (c99), 0, GMP_RNDN);
+ mpfr_set (MPC_IM (c99), tanh_y, GMP_RNDN);
- TEST_FAILED ("mpc_tan", z, tan_z, c99, MPC_RNDNN);
+ test_failed (z, tan_z, c99);
}
/* tan(-0 -i) = -0 +i*tanh(-1) */
mpc_conj (z, z, MPC_RNDNN);
mpfr_neg (tanh_y, tanh_y, GMP_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)))
+ if (mpfr_cmp (MPC_IM (tan_z), tanh_y) != 0
+ || !mpfr_zero_p (MPC_RE (tan_z)) || !mpfr_signbit (MPC_RE (tan_z)))
{
mpc_t c99;
mpc_init2 (c99, prec);
- mpfr_set_ui (mpc_realref (c99), 0, GMP_RNDN);
- mpfr_set (mpc_imagref (c99), tanh_y, GMP_RNDN);
+ mpfr_set_ui (MPC_RE (c99), 0, GMP_RNDN);
+ mpfr_set (MPC_IM (c99), tanh_y, GMP_RNDN);
- TEST_FAILED ("mpc_tan", z, tan_z, c99, MPC_RNDNN);
+ test_failed (z, tan_z, c99);
}
mpc_clear (tan_z);
mpfr_clear (y);
}
+static void
+check_53 (void)
+{
+ mpc_t z;
+ mpc_t tan_z;
+ mpc_t t;
+
+ mpc_init2 (z, 53);
+ mpc_init2 (tan_z, 53);
+ mpc_init2 (t, 53);
+
+ /* Let's play around the poles */
+ /* x = Re(z) = Pi/2 rounded to nearest to 53 bits precision */
+ /* y = Im(z) = Pi/2 - Re(z) rounded to nearest to 53 bits precision */
+ mpfr_set_str (MPC_RE (z), "3243F6A8885A30p-53", 16, GMP_RNDN);
+ mpfr_set_str (MPC_IM (z), "11A62633145C07p-106", 16, GMP_RNDN);
+ mpfr_set_str (MPC_RE (t), "1D02967C31CDB5", 16, GMP_RNDN);
+ mpfr_set_str (MPC_IM (t), "1D02967C31CDB5", 16, GMP_RNDN);
+ mpc_tan (tan_z, z, MPC_RNDNN);
+ if (mpc_cmp (tan_z, t) != 0)
+ test_failed (z, tan_z, t);
+
+ mpfr_set_str (MPC_RE (t), "1D02967C31CDB4", 16, GMP_RNDN);
+ mpc_tan (tan_z, z, MPC_RNDDU);
+ if (mpc_cmp (tan_z, t) != 0)
+ test_failed (z, tan_z, t);
+
+ mpfr_set_str (MPC_IM (t), "1D02967C31CDB4", 16, GMP_RNDN);
+ mpc_tan (tan_z, z, MPC_RNDZD);
+ if (mpc_cmp (tan_z, t) != 0)
+ test_failed (z, tan_z, t);
+
+ /* Re(z) = x + 2^(-52) */
+ /* Im(z) = y - 2^(-52) */
+ mpfr_set_str (MPC_RE (z), "1921FB54442D19p-52", 16, GMP_RNDN);
+ mpfr_set_str (MPC_IM (z), "-172CECE675D1FDp-105", 16, GMP_RNDN);
+ mpfr_set_str (MPC_RE (t), "-B0BD0AA4A3B3D", 16, GMP_RNDN);
+ mpfr_set_str (MPC_IM (t), "-B0BD0AA4A3B3D", 16, GMP_RNDN);
+ mpc_tan (tan_z, z, MPC_RNDNN);
+ if (mpc_cmp (tan_z, t) != 0)
+ test_failed (z, tan_z, t);
+
+ mpc_clear (t);
+ mpc_clear (tan_z);
+ mpc_clear (z);
+}
+
int
main (void)
{
pure_real_argument ();
pure_imaginary_argument ();
+ check_53 ();
test_end ();
projects / platform / upstream / mpc.git / blobdiff