added Bessel functions of first kind: j0, j1, jn

git-svn-id: svn://scm.gforge.inria.fr/svn/mpfr/trunk@4385 280ebfd0-de03-0410-8827-d642c229c3f4

1 files changed, 96 insertions, 0 deletions

diff --git a/tests/tj0.c b/tests/tj0.c
new file mode 100644
index 000000000..2f80eb8fb
--- /dev/null
+++ b/tests/tj0.c
@@ -0,0 +1,96 @@
+/* tj0 -- test file for the Bessel function of first kind (order 0)
+
+Copyright 2007 Free Software Foundation, Inc.
+Contributed by the Arenaire and Cacao projects, INRIA.
+
+This file is part of the MPFR Library.
+
+The MPFR 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 MPFR 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 MPFR Library; see the file COPYING.LIB.  If not, write to
+the Free Software Foundation, Inc., 51 Franklin St, Fifth Floor, Boston,
+MA 02110-1301, USA. */
+
+#include <stdio.h>
+#include <stdlib.h>
+
+#include "mpfr-test.h"
+
+#define TEST_FUNCTION mpfr_zeta
+#include "tgeneric.c"
+
+int
+main (int argc, char *argv[])
+{
+  mpfr_t x, y;
+
+  tests_start_mpfr ();
+
+  mpfr_init (x);
+  mpfr_init (y);
+
+  /* special values */
+  mpfr_set_nan (x);
+  mpfr_j0 (y, x, GMP_RNDN);
+  MPFR_ASSERTN(mpfr_nan_p (y));
+
+  mpfr_set_inf (x, 1); /* +Inf */
+  mpfr_j0 (y, x, GMP_RNDN);
+  MPFR_ASSERTN(mpfr_cmp_ui (y, 0) == 0 && MPFR_IS_POS (y));
+
+  mpfr_set_inf (x, -1); /* -Inf */
+  mpfr_j0 (y, x, GMP_RNDN);
+  MPFR_ASSERTN(mpfr_cmp_ui (y, 0) == 0 && MPFR_IS_POS (y));
+
+  mpfr_set_ui (x, 0, GMP_RNDN); /* +0 */
+  mpfr_j0 (y, x, GMP_RNDN);
+  MPFR_ASSERTN(mpfr_cmp_ui (y, 1) == 0); /* j0(+0)=1 */
+
+  mpfr_set_ui (x, 0, GMP_RNDN);
+  mpfr_neg (x, x, GMP_RNDN); /* -0 */
+  mpfr_j0 (y, x, GMP_RNDN);
+  MPFR_ASSERTN(mpfr_cmp_ui (y, 1) == 0); /* j0(-0)=1 */
+
+  mpfr_set_prec (x, 53);
+  mpfr_set_prec (y, 53);
+
+  mpfr_set_ui (x, 1, GMP_RNDN);
+  mpfr_j0 (y, x, GMP_RNDN);
+  mpfr_set_str_binary (x, "0.1100001111100011111111101101111010111101110001111");
+  if (mpfr_cmp (x, y))
+    {
+      printf ("Error in mpfr_j0 for x=1, rnd=GMP_RNDN\n");
+      printf ("Expected "); mpfr_dump (x);
+      printf ("Got      "); mpfr_dump (y);
+      exit (1);
+    }
+
+  mpfr_set_si (x, -1, GMP_RNDN);
+  mpfr_j0 (y, x, GMP_RNDN);
+  mpfr_set_str_binary (x, "0.1100001111100011111111101101111010111101110001111");
+  if (mpfr_cmp (x, y))
+    {
+      printf ("Error in mpfr_j0 for x=-1, rnd=GMP_RNDN\n");
+      printf ("Expected "); mpfr_dump (x);
+      printf ("Got      "); mpfr_dump (y);
+      exit (1);
+    }
+
+  mpfr_clear (x);
+  mpfr_clear (y);
+
+  test_generic (2, 100, 1);
+
+  tests_end_mpfr ();
+
+  return 0;
+}