Add mpc_tanh function.

git-svn-id: svn://scm.gforge.inria.fr/svn/mpc/trunk@133 211d60ee-9f03-0410-a15a-8952a2c7a4e4

1 files changed, 617 insertions, 0 deletions

diff --git a/tests/ttanh.c b/tests/ttanh.c
new file mode 100644
index 0000000..be859b5
--- /dev/null
+++ b/tests/ttanh.c
@@ -0,0 +1,617 @@
+/* test file for mpc_tanh.
+
+Copyright (C) 2008 Philippe Th\'eveny
+
+This file is part of the MPC Library.
+
+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.
+
+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 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 <stdio.h>
+#include <stdlib.h>
+#include "gmp.h"
+#include "mpfr.h"
+#include "mpc.h"
+
+#define TEST_FUNCTION mpc_tanh
+#include "tgeneric.c"
+
+static void
+test_failed (mpc_t op, mpc_t get, mpc_t expected)
+{
+  printf ("mpc_tanh(op) failed\n with ");
+  OUT (op);
+  printf ("     ");
+  OUT (get);
+  OUT (expected);
+  exit (1);
+}
+
+/* check special values as defined in C99 standard */
+static void
+special ()
+{
+  mpc_t z;
+  mpc_t t;
+
+  mpc_init (z);
+  mpc_init (t);
+
+  /* tanh(NaN +i*NaN) = NaN +i*NaN */
+  mpfr_set_nan (MPC_RE (z));
+  mpfr_set_nan (MPC_IM (z));
+  mpc_tanh (t, z, MPC_RNDNN);
+  if (!mpfr_nan_p (MPC_RE (t)) || !mpfr_nan_p (MPC_IM (t)))
+    test_failed (z, t, z);
+
+  /* tanh(NaN -i*Inf) = NaN +i*NaN */
+  mpfr_set_inf (MPC_IM (z), -1);
+  mpc_tanh (t, z, MPC_RNDNN);
+  if (!mpfr_nan_p (MPC_RE (t)) || !mpfr_nan_p (MPC_IM (t)))
+    {
+      mpc_t c99;
+      mpc_init (c99);
+      mpfr_set_nan (MPC_RE (c99));
+      mpfr_set_nan (MPC_IM (c99));
+      test_failed (z, t, c99);
+    }
+
+  /* tanh(NaN +i*Inf) = NaN +i*NaN */
+  mpc_conj (z, z, MPC_RNDNN);
+  mpc_tanh (t, z, MPC_RNDNN);
+  if (!mpfr_nan_p (MPC_RE (t)) || !mpfr_nan_p (MPC_IM (t)))
+    {
+      mpc_t c99;
+      mpc_init (c99);
+      mpfr_set_nan (MPC_RE (c99));
+      mpfr_set_nan (MPC_IM (c99));
+      test_failed (z, t, c99);
+    }
+
+  /* tanh(NaN +i*y) = NaN +i*NaN when |y|>0 */
+  mpfr_set_si (MPC_IM (z), -1, GMP_RNDN);
+  mpc_tanh (t, z, MPC_RNDNN);
+  if (!mpfr_nan_p (MPC_RE (t)) || !mpfr_nan_p (MPC_IM (t)))
+    {
+      mpc_t c99;
+      mpc_init (c99);
+      mpfr_set_nan (MPC_RE (c99));
+      mpfr_set_nan (MPC_IM (c99));
+      test_failed (z, t, c99);
+    }
+  mpc_conj (z, z, MPC_RNDNN);
+  mpc_tanh (t, z, MPC_RNDNN);
+  if (!mpfr_nan_p (MPC_RE (t)) || !mpfr_nan_p (MPC_IM (t)))
+    {
+      mpc_t c99;
+      mpc_init (c99);
+      mpfr_set_nan (MPC_RE (c99));
+      mpfr_set_nan (MPC_IM (c99));
+      test_failed (z, t, c99);
+    }
+
+  /* tanh(x +i*NaN) = NaN +i*NaN when x is a finite number */
+  mpfr_set_si (MPC_RE (z), -1, GMP_RNDN);
+  mpfr_set_nan (MPC_IM (z));
+  mpc_tanh (t, z, MPC_RNDNN);
+  if (!mpfr_nan_p (MPC_RE (t)) || !mpfr_nan_p (MPC_IM (t)))
+    {
+      mpc_t c99;
+      mpc_init (c99);
+      mpfr_set_nan (MPC_RE (c99));
+      mpfr_set_nan (MPC_IM (c99));
+      test_failed (z, t, c99);
+    }
+  mpc_neg (z, z, MPC_RNDNN);
+  mpc_tanh (t, z, MPC_RNDNN);
+  if (!mpfr_nan_p (MPC_RE (t)) || !mpfr_nan_p (MPC_IM (t)))
+    {
+      mpc_t c99;
+      mpc_init (c99);
+      mpfr_set_nan (MPC_RE (c99));
+      mpfr_set_nan (MPC_IM (c99));
+      test_failed (z, t, c99);
+    }
+  mpfr_set_ui (MPC_RE (z), 0, GMP_RNDN);
+  mpfr_set_nan (MPC_IM (z));
+  mpc_tanh (t, z, MPC_RNDNN);
+  if (!mpfr_nan_p (MPC_RE (t)) || !mpfr_nan_p (MPC_IM (t)))
+    {
+      mpc_t c99;
+      mpc_init (c99);
+      mpfr_set_nan (MPC_RE (c99));
+      mpfr_set_nan (MPC_IM (c99));
+      test_failed (z, t, c99);
+    }
+  mpc_neg (z, z, MPC_RNDNN);
+  mpc_tanh (t, z, MPC_RNDNN);
+  if (!mpfr_nan_p (MPC_RE (t)) || !mpfr_nan_p (MPC_IM (t)))
+    {
+      mpc_t c99;
+      mpc_init (c99);
+      mpfr_set_nan (MPC_RE (c99));
+      mpfr_set_nan (MPC_IM (c99));
+      test_failed (z, t, c99);
+    }
+
+  /* tanh(x +i*+/-Inf) = NaN +i*NaN when x is a finite number */
+  mpfr_set_si (MPC_RE (z), -1, GMP_RNDN);
+  mpfr_set_inf (MPC_IM (z), +1);
+  mpc_tanh (t, z, MPC_RNDNN);
+  if (!mpfr_nan_p (MPC_RE (t)) || !mpfr_nan_p (MPC_IM (t)))
+    {
+      mpc_t c99;
+      mpc_init (c99);
+      mpfr_set_nan (MPC_RE (c99));
+      mpfr_set_nan (MPC_IM (c99));
+      test_failed (z, t, c99);
+    }
+  mpc_conj (z, z, MPC_RNDNN);
+  mpc_tanh (t, z, MPC_RNDNN);
+  if (!mpfr_nan_p (MPC_RE (t)) || !mpfr_nan_p (MPC_IM (t)))
+    {
+      mpc_t c99;
+      mpc_init (c99);
+      mpfr_set_nan (MPC_RE (c99));
+      mpfr_set_nan (MPC_IM (c99));
+      test_failed (z, t, c99);
+    }
+  mpc_neg (z, z, MPC_RNDNN);
+  mpc_tanh (t, z, MPC_RNDNN);
+  if (!mpfr_nan_p (MPC_RE (t)) || !mpfr_nan_p (MPC_IM (t)))
+    {
+      mpc_t c99;
+      mpc_init (c99);
+      mpfr_set_nan (MPC_RE (c99));
+      mpfr_set_nan (MPC_IM (c99));
+      test_failed (z, t, c99);
+    }
+  mpc_conj (z, z, MPC_RNDNN);
+  mpc_tanh (t, z, MPC_RNDNN);
+  if (!mpfr_nan_p (MPC_RE (t)) || !mpfr_nan_p (MPC_IM (t)))
+    {
+      mpc_t c99;
+      mpc_init (c99);
+      mpfr_set_nan (MPC_RE (c99));
+      mpfr_set_nan (MPC_IM (c99));
+      test_failed (z, t, c99);
+    }
+  mpfr_set_ui (MPC_RE (z), 0, GMP_RNDN);
+  mpfr_set_inf (MPC_IM (z), +1);
+  mpc_tanh (t, z, MPC_RNDNN);
+  if (!mpfr_nan_p (MPC_RE (t)) || !mpfr_nan_p (MPC_IM (t)))
+    {
+      mpc_t c99;
+      mpc_init (c99);
+      mpfr_set_nan (MPC_RE (c99));
+      mpfr_set_nan (MPC_IM (c99));
+      test_failed (z, t, c99);
+    }
+  mpc_conj (z, z, MPC_RNDNN);
+  mpc_tanh (t, z, MPC_RNDNN);
+  if (!mpfr_nan_p (MPC_RE (t)) || !mpfr_nan_p (MPC_IM (t)))
+    {
+      mpc_t c99;
+      mpc_init (c99);
+      mpfr_set_nan (MPC_RE (c99));
+      mpfr_set_nan (MPC_IM (c99));
+      test_failed (z, t, c99);
+    }
+  mpc_neg (z, z, MPC_RNDNN);
+  mpc_tanh (t, z, MPC_RNDNN);
+  if (!mpfr_nan_p (MPC_RE (t)) || !mpfr_nan_p (MPC_IM (t)))
+    {
+      mpc_t c99;
+      mpc_init (c99);
+      mpfr_set_nan (MPC_RE (c99));
+      mpfr_set_nan (MPC_IM (c99));
+      test_failed (z, t, c99);
+    }
+  mpc_conj (z, z, MPC_RNDNN);
+  mpc_tanh (t, z, MPC_RNDNN);
+  if (!mpfr_nan_p (MPC_RE (t)) || !mpfr_nan_p (MPC_IM (t)))
+    {
+      mpc_t c99;
+      mpc_init (c99);
+      mpfr_set_nan (MPC_RE (c99));
+      mpfr_set_nan (MPC_IM (c99));
+      test_failed (z, t, c99);
+    }
+
+  /* tanh(+Inf +i*NaN) = 1 +i*+/-0 */
+  mpfr_set_inf (MPC_RE (z), +1);
+  mpfr_set_nan (MPC_IM (z));
+  mpc_tanh (t, z, MPC_RNDNN);
+  if (mpfr_cmp_si (MPC_RE (t), +1) != 0 || !mpfr_zero_p (MPC_IM (t)))
+    {
+      mpc_t c99;
+      mpc_init (c99);
+      mpc_set_ui_ui (c99, 1, 0, MPC_RNDNN);
+      test_failed (z, t, c99);
+    }
+
+  /* tanh(-Inf +i*NaN) = -1 +i*-/+0 */
+  mpc_neg (z, z, MPC_RNDNN);
+  mpc_tanh (t, z, MPC_RNDNN);
+  if (mpfr_cmp_si (MPC_RE (t), -1) != 0 || !mpfr_zero_p (MPC_IM (t)))
+    {
+      mpc_t c99;
+      mpc_init (c99);
+      mpc_set_si_si (c99, -1, 0, MPC_RNDNN);
+      test_failed (z, t, c99);
+    }
+
+  /* tanh(-Inf +i*Inf) = -1 +i*+/-0 */
+  mpfr_set_inf (MPC_IM (z), +1);
+  mpc_tanh (t, z, MPC_RNDNN);
+  if (mpfr_cmp_si (MPC_RE (t), -1) != 0 || !mpfr_zero_p (MPC_IM (t)))
+    {
+      mpc_t c99;
+      mpc_init (c99);
+      mpc_set_si_si (c99, -1, 0, MPC_RNDNN);
+      test_failed (z, t, c99);
+    }
+
+  /* tanh(-Inf -i*Inf) = -1 +i*-/+0 */
+  mpc_conj (z, z, MPC_RNDNN);
+  mpc_tanh (t, z, MPC_RNDNN);
+  if (mpfr_cmp_si (MPC_RE (t), -1) != 0 || !mpfr_zero_p (MPC_IM (t)))
+    {
+      mpc_t c99;
+      mpc_init (c99);
+      mpc_set_si_si (c99, -1, 0, MPC_RNDNN);
+      test_failed (z, t, c99);
+    }
+
+  /* tanh(+Inf +i*Inf) = +1 +i*+/-0 */
+  mpc_neg (z, z, MPC_RNDNN);
+  mpc_tanh (t, z, MPC_RNDNN);
+  if (mpfr_cmp_si (MPC_RE (t), +1) != 0 || !mpfr_zero_p (MPC_IM (t)))
+    {
+      mpc_t c99;
+      mpc_init (c99);
+      mpc_set_si_si (c99, 1, 0, MPC_RNDNN);
+      test_failed (z, t, c99);
+    }
+
+  /* tanh(+Inf -i*Inf) = +1 +i*-/+0 */
+  mpc_conj (z, z, MPC_RNDNN);
+  mpc_tanh (t, z, MPC_RNDNN);
+  if (mpfr_cmp_si (MPC_RE (t), +1) != 0 || !mpfr_zero_p (MPC_IM (t)))
+    {
+      mpc_t c99;
+      mpc_init (c99);
+      mpc_set_si_si (c99, 1, 0, MPC_RNDNN);
+      test_failed (z, t, c99);
+    }
+
+  /* tanh(NaN +i*0) = NaN +i*0 */
+  mpfr_set_nan (MPC_RE (z));
+  mpfr_set_ui (MPC_IM (z), 0, GMP_RNDN);
+  mpc_tanh (t, z, MPC_RNDNN);
+  if (!mpfr_nan_p (MPC_RE (t))
+      || !mpfr_zero_p (MPC_IM (t)) || mpfr_signbit (MPC_IM (t)))
+    test_failed (z, t, z);
+
+  /* tanh(NaN -i*0) = NaN -i*0 */
+  mpc_neg (z, z, MPC_RNDNN);
+  mpc_tanh (t, z, MPC_RNDNN);
+  if (!mpfr_nan_p (MPC_RE (t))
+      || !mpfr_zero_p (MPC_IM (t)) || !mpfr_signbit (MPC_IM (t)))
+    test_failed (z, t, z);
+
+  /* tanh(+Inf +i*0) = +1 +i*0 */
+  mpfr_set_inf (MPC_RE (z), +1);
+  mpfr_set_ui (MPC_IM (z), 0, MPC_RNDNN);
+  mpc_tanh (t, z, MPC_RNDNN);
+  if (mpfr_cmp_si (MPC_RE (t), +1) != 0
+      || !mpfr_zero_p (MPC_IM (t)) || mpfr_signbit (MPC_IM (t)))
+    {
+      mpc_t c99;
+      mpc_init (c99);
+      mpc_set_si_si (c99, +1, 0, MPC_RNDNN);
+      test_failed (z, t, c99);
+    }
+
+  /* tanh(-Inf -i*0) = -1 -i*0 */
+  mpc_neg (z, z, MPC_RNDNN);
+  mpc_tanh (t, z, MPC_RNDNN);
+  if (mpfr_cmp_si (MPC_RE (t), -1) != 0
+      || !mpfr_zero_p (MPC_IM (t)) || !mpfr_signbit (MPC_IM (t)))
+    {
+      mpc_t c99;
+      mpc_init (c99);
+      mpc_set_ui_ui (c99, 1, 0, MPC_RNDNN);
+      mpc_neg (c99, c99, MPC_RNDNN);
+      test_failed (z, t, c99);
+    }
+
+  /* tanh(-Inf +i*0) = -1 +i*0 */
+  mpc_conj (z, z, MPC_RNDNN);
+  mpc_tanh (t, z, MPC_RNDNN);
+  if (mpfr_cmp_si (MPC_RE (t), -1) != 0
+      || !mpfr_zero_p (MPC_IM (t)) || mpfr_signbit (MPC_IM (t)))
+    {
+      mpc_t c99;
+      mpc_init (c99);
+      mpc_set_si_si (c99, -1, 0, MPC_RNDNN);
+      test_failed (z, t, c99);
+    }
+
+  /* tanh(+Inf -i*0) = +1 -i*0 */
+  mpc_neg (z, z, MPC_RNDNN);
+  mpc_tanh (t, z, MPC_RNDNN);
+  if (mpfr_cmp_si (MPC_RE (t), +1) != 0
+      || !mpfr_zero_p (MPC_IM (t)) || !mpfr_signbit (MPC_IM (t)))
+    {
+      mpc_t c99;
+      mpc_init (c99);
+      mpc_set_ui_ui (c99, 1, 0, MPC_RNDNN);
+      mpc_conj (c99, c99, MPC_RNDNN);
+      test_failed (z, t, c99);
+    }
+
+  /* tanh(+Inf +i*y) = 1 +i*0*sin 2y */
+  mpfr_set_inf (MPC_RE (z), +1);
+  mpfr_set_ui (MPC_IM (z), +1, MPC_RNDNN);
+  mpc_tanh (t, z, MPC_RNDNN);
+  if (mpfr_cmp_si (MPC_RE (t), 1) != 0
+      || !mpfr_zero_p (MPC_IM (t)) || mpfr_signbit (MPC_IM (t)))
+    {
+      mpc_t c99;
+      mpc_init (c99);
+      mpc_set_ui_ui (c99, 1, 0, MPC_RNDNN);
+      test_failed (z, t, c99);
+    }
+  mpc_conj (z, z, MPC_RNDNN);
+  mpc_tanh (t, z, MPC_RNDNN);
+  if (mpfr_cmp_si (MPC_RE (t), 1) != 0
+      || !mpfr_zero_p (MPC_IM (t)) || !mpfr_signbit (MPC_IM (t)))
+    {
+      mpc_t c99;
+      mpc_init (c99);
+      mpc_set_ui_ui (c99, 1, 0, MPC_RNDNN);
+      mpc_conj (c99, c99, MPC_RNDNN);
+      test_failed (z, t, c99);
+    }
+  mpfr_set_ui (MPC_IM (z), +2, MPC_RNDNN);
+  mpc_tanh (t, z, MPC_RNDNN);
+  if (mpfr_cmp_si (MPC_RE (t), 1) != 0
+      || !mpfr_zero_p (MPC_IM (t)) || !mpfr_signbit (MPC_IM (t)))
+    {
+      mpc_t c99;
+      mpc_init (c99);
+      mpc_set_ui_ui (c99, 1, 0, MPC_RNDNN);
+      mpc_conj (c99, c99, MPC_RNDNN);
+      test_failed (z, t, c99);
+    }
+  mpc_conj (z, z, MPC_RNDNN);
+  mpc_tanh (t, z, MPC_RNDNN);
+  if (mpfr_cmp_si (MPC_RE (t), 1) != 0
+      || !mpfr_zero_p (MPC_IM (t)) || mpfr_signbit (MPC_IM (t)))
+    {
+      mpc_t c99;
+      mpc_init (c99);
+      mpc_set_ui_ui (c99, 1, 0, MPC_RNDNN);
+      test_failed (z, t, c99);
+    }
+
+  /* tanh(-Inf +i*y) = -1 +i*0*sin 2y */
+  mpfr_set_inf (MPC_RE (z), -1);
+  mpfr_set_ui (MPC_IM (z), +1, MPC_RNDNN);
+  mpc_tanh (t, z, MPC_RNDNN);
+  if (mpfr_cmp_si (MPC_RE (t), -1) != 0
+      || !mpfr_zero_p (MPC_IM (t)) || mpfr_signbit (MPC_IM (t)))
+    {
+      mpc_t c99;
+      mpc_init (c99);
+      mpc_set_ui_ui (c99, 1, 0, MPC_RNDNN);
+      test_failed (z, t, c99);
+    }
+  mpc_conj (z, z, MPC_RNDNN);
+  mpc_tanh (t, z, MPC_RNDNN);
+  if (mpfr_cmp_si (MPC_RE (t), -1) != 0
+      || !mpfr_zero_p (MPC_IM (t)) || !mpfr_signbit (MPC_IM (t)))
+    {
+      mpc_t c99;
+      mpc_init (c99);
+      mpc_set_ui_ui (c99, 1, 0, MPC_RNDNN);
+      mpc_conj (c99, c99, MPC_RNDNN);
+      test_failed (z, t, c99);
+    }
+  mpfr_set_ui (MPC_IM (z), +2, MPC_RNDNN);
+  mpc_tanh (t, z, MPC_RNDNN);
+  if (mpfr_cmp_si (MPC_RE (t), -1) != 0
+      || !mpfr_zero_p (MPC_IM (t)) || !mpfr_signbit (MPC_IM (t)))
+    {
+      mpc_t c99;
+      mpc_init (c99);
+      mpc_set_ui_ui (c99, 1, 0, MPC_RNDNN);
+      mpc_conj (c99, c99, MPC_RNDNN);
+      test_failed (z, t, c99);
+    }
+  mpc_conj (z, z, MPC_RNDNN);
+  mpc_tanh (t, z, MPC_RNDNN);
+  if (mpfr_cmp_si (MPC_RE (t), -1) != 0
+      || !mpfr_zero_p (MPC_IM (t)) || mpfr_signbit (MPC_IM (t)))
+    {
+      mpc_t c99;
+      mpc_init (c99);
+      mpc_set_ui_ui (c99, 1, 0, MPC_RNDNN);
+      test_failed (z, t, c99);
+    }
+
+  /* tanh(+0 +i*0) = +0 +i*0 */
+  mpc_set_ui_ui (z, 0, 0, MPC_RNDNN);
+  mpc_tanh (t, z, MPC_RNDNN);
+  if (mpc_cmp (t, z) != 0 )
+    test_failed (z, t, z);
+
+  /* tanh(+0 -i*0) = +0 -i*0 */
+  mpc_conj (z, z, MPC_RNDNN);
+  mpc_tanh (t, z, MPC_RNDNN);
+  if (mpc_cmp (t, z) != 0 )
+    test_failed (z, t, z);
+
+  /* tanh(-0 +i*0) = -0 +i*0 */
+  mpc_neg (z, z, MPC_RNDNN);
+  mpc_tanh (t, z, MPC_RNDNN);
+  if (mpc_cmp (t, z) != 0 )
+    test_failed (z, t, z);
+
+  /* tanh(-0 -i*0) = -0 -i*0 */
+  mpc_conj (z, z, MPC_RNDNN);
+  mpc_tanh (t, z, MPC_RNDNN);
+  if (mpc_cmp (t, z) != 0 )
+    test_failed (z, t, z);
+
+  mpc_clear (t);
+  mpc_clear (z);
+}
+
+static void
+pure_real_argument ()
+{
+  /* cosh(x -i*0) = cosh(x) +i*0 if x<0 */
+  /* cosh(x -i*0) = cosh(x) -i*0 if x>0 */
+  /* cosh(x +i*0) = cosh(x) -i*0 if x<0 */
+  /* cosh(x -i*0) = cosh(x) +i*0 if x>0 */
+  mpc_t u;
+  mpc_t z;
+  mpc_t cosh_z;
+
+  return;
+
+  mpc_init (u);
+  mpc_init (z);
+  mpc_init (cosh_z);
+
+  /* cosh(1 +i*0) = cosh(1) +i*0 */
+  mpc_set_ui_ui (z, 1, 0, MPC_RNDNN);
+  mpfr_cosh (MPC_RE (u), MPC_RE (z), GMP_RNDN);
+  mpfr_set_ui (MPC_IM (u), 0, GMP_RNDN);
+  mpc_cosh (cosh_z, z, MPC_RNDNN);
+  if (mpc_cmp (cosh_z, u) != 0)
+    test_failed (z, cosh_z, u);
+
+  /* cosh(1 -i*0) = cosh(1) -i*0 */
+  mpc_conj (z, z, MPC_RNDNN);
+  mpc_conj (u, u, MPC_RNDNN);
+  mpc_cosh (cosh_z, z, MPC_RNDNN);
+  if (mpc_cmp (cosh_z, u) != 0)
+    test_failed (z, cosh_z, u);
+
+  /* cosh(-1 +i*0) = cosh(1) -i*0 */
+  mpc_neg (z, z, MPC_RNDNN);
+  mpc_cosh (cosh_z, z, MPC_RNDNN);
+  if (mpc_cmp (cosh_z, u) != 0)
+    test_failed (z, cosh_z, u);
+
+  /* cosh(-1 -i*0) = cosh(1) +i*0 */
+  mpc_conj (z, z, MPC_RNDNN);
+  mpc_conj (u, u, MPC_RNDNN);
+  mpc_cosh (cosh_z, z, MPC_RNDNN);
+  if (mpc_cmp (cosh_z, u) != 0)
+    test_failed (z, cosh_z, u);
+
+  mpc_clear (cosh_z);
+  mpc_clear (z);
+  mpc_clear (u);
+}
+
+static void
+pure_imaginary_argument ()
+{
+  /* cosh(+0 +i*y) = cos y +i*0*sin y */
+  /* cosh(-0 +i*y) = cos y -i*0*sin y */
+  mpc_t u;
+  mpc_t z;
+  mpc_t cosh_z;
+
+  return;
+
+  mpc_init (u);
+  mpc_init (z);
+  mpc_init (cosh_z);
+
+  /* cosh(+0 +i) = cos(1) +i*0 */
+  mpc_set_ui_ui (z, 0, 1, MPC_RNDNN);
+  mpfr_cos (MPC_RE (u), MPC_IM (z), GMP_RNDN);
+  mpfr_set_ui (MPC_IM (u), 0, GMP_RNDN);
+  if (mpc_cmp (cosh_z, u) != 0)
+    test_failed (z, cosh_z, u);
+
+  /* cosh(+0 -i) = cos(1) -i*0 */
+  mpc_conj (z, z, MPC_RNDNN);
+  mpc_conj (u, u, MPC_RNDNN);
+  if (mpc_cmp (cosh_z, u) != 0)
+    test_failed (z, cosh_z, u);
+
+  /* cosh(-0 +i) = cos(1) -i*0 */
+  mpc_neg (z, z, MPC_RNDNN);
+  if (mpc_cmp (cosh_z, u) != 0)
+    test_failed (z, cosh_z, u);
+
+  /* cosh(-0 -i) = cos(1) +i*0 */
+  mpc_conj (z, z, MPC_RNDNN);
+  mpc_conj (u, u, MPC_RNDNN);
+  if (mpc_cmp (cosh_z, u) != 0)
+    test_failed (z, cosh_z, u);
+
+  mpc_clear (cosh_z);
+  mpc_clear (z);
+  mpc_clear (u);
+}
+
+static void
+check_53()
+{
+  mpc_t z;
+  mpc_t tanh_z;
+  mpc_t t;
+
+  return;
+
+  mpc_init2 (z, 53);
+  mpc_init2 (tanh_z, 53);
+  mpc_init2 (t, 53);
+
+  /* cosh(z) is near (1+2^(-53)) *(0.5+i) */
+  mpfr_set_str (MPC_RE (z), "1DA2E1BD2C9EBCp-53", 16, GMP_RNDN);
+  mpfr_set_str (MPC_IM (z), "138AADEA15829Fp-52", 16, GMP_RNDN);
+  mpfr_set_str (MPC_RE (t), "10000000000001p-53", 16, GMP_RNDN);
+  mpfr_set_str (MPC_IM (t), "10000000000001p-52", 16, GMP_RNDN);
+  mpc_tanh (tanh_z, z, MPC_RNDNN);
+  if (mpc_cmp (tanh_z, t) != 0)
+    test_failed (z, tanh_z, t);
+
+  mpc_clear (t);
+  mpc_clear (tanh_z);
+  mpc_clear (z);
+}
+
+int
+main()
+{
+  special ();
+  pure_real_argument ();
+  pure_imaginary_argument ();
+
+  tgeneric ();
+
+  check_53 ();
+
+  return 0;
+}