added Bessel functions of second kind (y0, y1, yn_si)

git-svn-id: svn://scm.gforge.inria.fr/svn/mpfr/trunk@4401 280ebfd0-de03-0410-8827-d642c229c3f4

1 files changed, 192 insertions, 0 deletions

diff --git a/tests/tyn.c b/tests/tyn.c
new file mode 100644
index 000000000..f8df56f4a
--- /dev/null
+++ b/tests/tyn.c
@@ -0,0 +1,192 @@
+/* tyn -- test file for the Bessel function of second kind
+
+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"
+
+int
+main (int argc, char *argv[])
+{
+  mpfr_t x, y;
+  long n;
+  mp_prec_t prec = 53;
+
+  tests_start_mpfr ();
+
+  mpfr_init (x);
+  mpfr_init (y);
+
+  if (argc != 1)
+    {
+      if (argc != 4)
+	{
+	  printf ("Usage: tyn n x prec\n");
+	  exit (1);
+	}
+      n = atoi (argv[1]);
+      prec = atoi (argv[3]);
+      mpfr_set_prec (x, prec);
+      mpfr_set_prec (y, prec);
+      mpfr_set_str (x, argv[2], 10, GMP_RNDN);
+      mpfr_yn_si (y, x, n, GMP_RNDN);
+      printf ("Y(%ld,", n);
+      mpfr_out_str (stdout, 10, 0, x, GMP_RNDN);
+      printf (")=");
+      mpfr_out_str (stdout, 10, 0, y, GMP_RNDN);
+      printf ("\n");
+      goto end;
+    }
+
+  /* special values */
+  mpfr_set_nan (x);
+  mpfr_yn_si (y, x, 17, GMP_RNDN);
+  MPFR_ASSERTN(mpfr_nan_p (y));
+
+  mpfr_set_inf (x, 1); /* +Inf */
+  mpfr_yn_si (y, x, 17, GMP_RNDN);
+  MPFR_ASSERTN(mpfr_cmp_ui (y, 0) == 0 && MPFR_IS_POS (y));
+
+  mpfr_set_inf (x, -1); /* -Inf */
+  mpfr_yn_si (y, x, 17, GMP_RNDN);
+  MPFR_ASSERTN(mpfr_nan_p (y));
+
+  mpfr_set_ui (x, 0, GMP_RNDN); /* +0 */
+  mpfr_yn_si (y, x, 0, GMP_RNDN);
+  MPFR_ASSERTN(mpfr_inf_p (y) && MPFR_IS_NEG (y)); /* y0(+0)=-Inf */
+  mpfr_yn_si (y, x, 17, GMP_RNDN);
+  MPFR_ASSERTN(mpfr_inf_p (y) && MPFR_IS_NEG (y)); /* y17(+0)=-Inf */
+  mpfr_yn_si (y, x, -17, GMP_RNDN);
+  MPFR_ASSERTN(mpfr_inf_p (y) && MPFR_IS_POS (y)); /* y(-17,+0)=+Inf */
+  mpfr_yn_si (y, x, -42, GMP_RNDN);
+  MPFR_ASSERTN(mpfr_inf_p (y) && MPFR_IS_NEG (y)); /* y(-42,+0)=-Inf */
+
+  mpfr_set_ui (x, 0, GMP_RNDN);
+  mpfr_neg (x, x, GMP_RNDN); /* -0 */
+  mpfr_yn_si (y, x, 0, GMP_RNDN);
+  MPFR_ASSERTN(mpfr_inf_p (y) && MPFR_IS_NEG (y)); /* y0(-0)=-Inf */
+  mpfr_yn_si (y, x, 17, GMP_RNDN);
+  MPFR_ASSERTN(mpfr_inf_p (y) && MPFR_IS_NEG (y)); /* y17(-0)=-Inf */
+  mpfr_yn_si (y, x, -17, GMP_RNDN);
+  MPFR_ASSERTN(mpfr_inf_p (y) && MPFR_IS_POS (y)); /* y(-17,-0)=+Inf */
+  mpfr_yn_si (y, x, -42, GMP_RNDN);
+  MPFR_ASSERTN(mpfr_inf_p (y) && MPFR_IS_NEG (y)); /* y(-42,-0)=-Inf */
+
+  mpfr_set_prec (x, 53);
+  mpfr_set_prec (y, 53);
+
+  mpfr_set_ui (x, 1, GMP_RNDN);
+  mpfr_yn_si (y, x, 0, GMP_RNDN);
+  mpfr_set_str_binary (x, "0.00010110100110000000001000100110111100110101100011011111");
+  if (mpfr_cmp (x, y))
+    {
+      printf ("Error in mpfr_yn_si for n=0, x=1, rnd=GMP_RNDN\n");
+      printf ("Expected "); mpfr_dump (x);
+      printf ("Got      "); mpfr_dump (y);
+      exit (1);
+    }
+
+  mpfr_set_ui (x, 1, GMP_RNDN);
+  mpfr_yn_si (y, x, 1, GMP_RNDN);
+  mpfr_set_str_binary (x, "-0.110001111111110110010000001111101011001101011100101");
+  if (mpfr_cmp (x, y))
+    {
+      printf ("Error in mpfr_yn_si for n=1, x=1, rnd=GMP_RNDN\n");
+      printf ("Expected "); mpfr_dump (x);
+      printf ("Got      "); mpfr_dump (y);
+      exit (1);
+    }
+
+  mpfr_set_ui (x, 1, GMP_RNDN);
+  mpfr_yn_si (y, x, -1, GMP_RNDN);
+  mpfr_set_str_binary (x, "0.110001111111110110010000001111101011001101011100101");
+  if (mpfr_cmp (x, y))
+    {
+      printf ("Error in mpfr_yn_si for n=-1, x=1, rnd=GMP_RNDN\n");
+      printf ("Expected "); mpfr_dump (x);
+      printf ("Got      "); mpfr_dump (y);
+      exit (1);
+    }
+
+  mpfr_set_ui (x, 1, GMP_RNDN);
+  mpfr_yn_si (y, x, 2, GMP_RNDN);
+  mpfr_set_str_binary (x, "-1.101001101001001100100010101001000101101000010010001");
+  if (mpfr_cmp (x, y))
+    {
+      printf ("Error in mpfr_yn_si for n=2, x=1, rnd=GMP_RNDN\n");
+      printf ("Expected "); mpfr_dump (x);
+      printf ("Got      "); mpfr_dump (y);
+      exit (1);
+    }
+
+  mpfr_set_ui (x, 1, GMP_RNDN);
+  mpfr_yn_si (y, x, -2, GMP_RNDN);
+  mpfr_set_str_binary (x, "-1.101001101001001100100010101001000101101000010010001");
+  if (mpfr_cmp (x, y))
+    {
+      printf ("Error in mpfr_yn_si for n=-2, x=1, rnd=GMP_RNDN\n");
+      printf ("Expected "); mpfr_dump (x);
+      printf ("Got      "); mpfr_dump (y);
+      exit (1);
+    }
+
+  mpfr_set_ui (x, 1, GMP_RNDN);
+  mpfr_yn_si (y, x, 17, GMP_RNDN);
+  mpfr_set_str_binary (x, "-0.11000100111000100010101101011000110011001101100001011E60");
+  if (mpfr_cmp (x, y))
+    {
+      printf ("Error in mpfr_yn_si for n=17, x=1, rnd=GMP_RNDN\n");
+      printf ("Expected "); mpfr_dump (x);
+      printf ("Got      "); mpfr_dump (y);
+      exit (1);
+    }
+
+  mpfr_set_ui (x, 1, GMP_RNDN);
+  mpfr_yn_si (y, x, -17, GMP_RNDN);
+  mpfr_set_str_binary (x, "0.11000100111000100010101101011000110011001101100001011E60");
+  if (mpfr_cmp (x, y))
+    {
+      printf ("Error in mpfr_yn_si for n=-17, x=1, rnd=GMP_RNDN\n");
+      printf ("Expected "); mpfr_dump (x);
+      printf ("Got      "); mpfr_dump (y);
+      exit (1);
+    }
+
+  mpfr_set_ui (x, 17, GMP_RNDN);
+  mpfr_yn_si (y, x, 1, GMP_RNDN);
+  mpfr_set_str_binary (x, "0.00101010110011011111001100000001101011011001111111");
+  if (mpfr_cmp (x, y))
+    {
+      printf ("Error in mpfr_yn_si for n=1, x=17, rnd=GMP_RNDN\n");
+      printf ("Expected "); mpfr_dump (x);
+      printf ("Got      "); mpfr_dump (y);
+      exit (1);
+    }
+
+ end:
+  mpfr_clear (x);
+  mpfr_clear (y);
+
+  tests_end_mpfr ();
+  return 0;
+}