--- /dev/null
+/* tjn -- test file for the Bessel function of first kind
+
+Copyright 2007, 2008, 2009 Free Software Foundation, Inc.
+Contributed by the Arenaire and Cacao projects, INRIA.
+
+This file is part of the GNU MPFR Library.
+
+The GNU 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 GNU 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 GNU 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 <limits.h> /* for LONG_MAX */
+
+#include "mpfr-test.h"
+
+int
+main (int argc, char *argv[])
+{
+ mpfr_t x, y;
+ long n;
+
+ if (argc > 1)
+ {
+ mpfr_init2 (x, atoi (argv[1]));
+ mpfr_set_str (x, argv[3], 10, GMP_RNDN);
+ mpfr_jn (x, atoi (argv[2]), x, GMP_RNDN);
+ mpfr_out_str (stdout, 10, 10, x, GMP_RNDN);
+ printf ("\n");
+ mpfr_clear (x);
+ return 0;
+ }
+
+ tests_start_mpfr ();
+
+ mpfr_init (x);
+ mpfr_init (y);
+
+ /* special values */
+ mpfr_set_nan (x);
+ mpfr_jn (y, 17, x, GMP_RNDN);
+ MPFR_ASSERTN(mpfr_nan_p (y));
+
+ mpfr_set_inf (x, 1); /* +Inf */
+ mpfr_jn (y, 17, x, GMP_RNDN);
+ MPFR_ASSERTN(mpfr_cmp_ui (y, 0) == 0 && MPFR_IS_POS (y));
+
+ mpfr_set_inf (x, -1); /* -Inf */
+ mpfr_jn (y, 17, x, GMP_RNDN);
+ MPFR_ASSERTN(mpfr_cmp_ui (y, 0) == 0 && MPFR_IS_POS (y));
+
+ mpfr_set_ui (x, 0, GMP_RNDN); /* +0 */
+ mpfr_jn (y, 0, x, GMP_RNDN);
+ MPFR_ASSERTN(mpfr_cmp_ui (y, 1) == 0); /* j0(+0)=1 */
+ mpfr_jn (y, 17, x, GMP_RNDN);
+ MPFR_ASSERTN(mpfr_cmp_ui (y, 0) == 0 && MPFR_IS_POS (y)); /* j17(+0)=+0 */
+ mpfr_jn (y, -17, x, GMP_RNDN);
+ MPFR_ASSERTN(mpfr_cmp_ui (y, 0) == 0 && MPFR_IS_NEG (y)); /* j-17(+0)=-0 */
+ mpfr_jn (y, 42, x, GMP_RNDN);
+ MPFR_ASSERTN(mpfr_cmp_ui (y, 0) == 0 && MPFR_IS_POS (y)); /* j42(+0)=+0 */
+
+ mpfr_set_ui (x, 0, GMP_RNDN);
+ mpfr_neg (x, x, GMP_RNDN); /* -0 */
+ mpfr_jn (y, 0, x, GMP_RNDN);
+ MPFR_ASSERTN(mpfr_cmp_ui (y, 1) == 0); /* j0(-0)=1 */
+ mpfr_jn (y, 17, x, GMP_RNDN);
+ MPFR_ASSERTN(mpfr_cmp_ui (y, 0) == 0 && MPFR_IS_NEG (y)); /* j17(-0)=-0 */
+ mpfr_jn (y, -17, x, GMP_RNDN);
+ MPFR_ASSERTN(mpfr_cmp_ui (y, 0) == 0 && MPFR_IS_POS (y)); /* j-17(-0)=+0 */
+ mpfr_jn (y, 42, x, GMP_RNDN);
+ MPFR_ASSERTN(mpfr_cmp_ui (y, 0) == 0 && MPFR_IS_POS (y)); /* j42(-0)=+0 */
+
+ mpfr_set_prec (x, 53);
+ mpfr_set_prec (y, 53);
+
+ mpfr_set_ui (x, 1, GMP_RNDN);
+ mpfr_jn (y, 0, x, GMP_RNDN);
+ mpfr_set_str_binary (x, "0.1100001111100011111111101101111010111101110001111");
+ if (mpfr_cmp (x, y))
+ {
+ printf ("Error in mpfr_jn for n=0, 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_jn (y, 0, x, GMP_RNDN);
+ mpfr_set_str_binary (x, "0.1100001111100011111111101101111010111101110001111");
+ if (mpfr_cmp (x, y))
+ {
+ printf ("Error in mpfr_jn 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_jn (y, 1, x, GMP_RNDN);
+ mpfr_set_str_binary (x, "0.0111000010100111001001111011101001011100001100011011");
+ if (mpfr_cmp (x, y))
+ {
+ printf ("Error in mpfr_jn 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_jn (y, 17, x, GMP_RNDN);
+ mpfr_set_str_binary (x, "0.1100011111001010101001001001000110110000010001011E-65");
+ if (mpfr_cmp (x, y))
+ {
+ printf ("Error in mpfr_jn 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_jn (y, 42, x, GMP_RNDN);
+ mpfr_set_str_binary (x, "0.10000111100011010100111011100111101101000100000001001E-211");
+ if (mpfr_cmp (x, y))
+ {
+ printf ("Error in mpfr_jn for n=42, 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_jn (y, -42, x, GMP_RNDN);
+ mpfr_set_str_binary (x, "0.10000111100011010100111011100111101101000100000001001E-211");
+ if (mpfr_cmp (x, y))
+ {
+ printf ("Error in mpfr_jn for n=-42, 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_jn (y, 42, x, GMP_RNDN);
+ mpfr_set_str_binary (x, "0.10000111100011010100111011100111101101000100000001001E-211");
+ if (mpfr_cmp (x, y))
+ {
+ printf ("Error in mpfr_jn for n=42, 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_jn (y, -42, x, GMP_RNDN);
+ mpfr_set_str_binary (x, "0.10000111100011010100111011100111101101000100000001001E-211");
+ if (mpfr_cmp (x, y))
+ {
+ printf ("Error in mpfr_jn for n=-42, 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_jn (y, 4, x, GMP_RNDN);
+ mpfr_set_str_binary (x, "-0.0001110001011001100010100111100111100000111110111011111");
+ if (mpfr_cmp (x, y))
+ {
+ printf ("Error in mpfr_jn for n=4, x=17, rnd=GMP_RNDN\n");
+ printf ("Expected "); mpfr_dump (x);
+ printf ("Got "); mpfr_dump (y);
+ exit (1);
+ }
+
+ mpfr_set_ui (x, 17, GMP_RNDN);
+ mpfr_jn (y, 16, x, GMP_RNDN);
+ mpfr_set_str_binary (x, "0.0011101111100111101111010100000111111001111001001010011");
+ if (mpfr_cmp (x, y))
+ {
+ printf ("Error in mpfr_jn for n=16, x=17, rnd=GMP_RNDN\n");
+ printf ("Expected "); mpfr_dump (x);
+ printf ("Got "); mpfr_dump (y);
+ exit (1);
+ }
+
+ mpfr_set_ui (x, 17, GMP_RNDN);
+ mpfr_jn (y, 256, x, GMP_RNDN);
+ mpfr_set_str_binary (x, "0.11111101111100110000000010111101101011101011110001011E-894");
+ if (mpfr_cmp (x, y))
+ {
+ printf ("Error in mpfr_jn for n=256, x=17, rnd=GMP_RNDN\n");
+ printf ("Expected "); mpfr_dump (x);
+ printf ("Got "); mpfr_dump (y);
+ exit (1);
+ }
+
+ mpfr_set_ui (x, 17, GMP_RNDN);
+ mpfr_jn (y, 65536, x, GMP_RNDN);
+ mpfr_set_str_binary (x, "100010010010011010110101100001000100011100010111011E-751747");
+ if (mpfr_cmp (x, y))
+ {
+ printf ("Error in mpfr_jn for n=65536, x=17, rnd=GMP_RNDN\n");
+ printf ("Expected "); mpfr_dump (x);
+ printf ("Got "); mpfr_dump (y);
+ exit (1);
+ }
+
+ mpfr_set_ui (x, 17, GMP_RNDN);
+ mpfr_jn (y, 131072, x, GMP_RNDN);
+ mpfr_set_str_binary (x, "1000001001110011111001110110000010011010000001001101E-1634508");
+ if (mpfr_cmp (x, y))
+ {
+ printf ("Error in mpfr_jn for n=131072, x=17, rnd=GMP_RNDN\n");
+ printf ("Expected "); mpfr_dump (x);
+ printf ("Got "); mpfr_dump (y);
+ exit (1);
+ }
+
+ mpfr_set_ui (x, 17, GMP_RNDN);
+ mpfr_jn (y, 262144, x, GMP_RNDN);
+ mpfr_set_str_binary (x, "1010011011000100111011001011110001000010000010111111E-3531100");
+ if (mpfr_cmp (x, y))
+ {
+ printf ("Error in mpfr_jn for n=262144, x=17, rnd=GMP_RNDN\n");
+ printf ("Expected "); mpfr_dump (x);
+ printf ("Got "); mpfr_dump (y);
+ exit (1);
+ }
+
+ mpfr_set_ui (x, 17, GMP_RNDN);
+ mpfr_jn (y, 524288, x, GMP_RNDN);
+ mpfr_set_str_binary (x, "110000001010001111011011000011001011010100010001011E-7586426");
+ if (mpfr_cmp (x, y))
+ {
+ printf ("Error in mpfr_jn for n=524288, x=17, rnd=GMP_RNDN\n");
+ printf ("Expected "); mpfr_dump (x);
+ printf ("Got "); mpfr_dump (y);
+ exit (1);
+ }
+
+ n = LONG_MAX;
+ /* ensures n is odd */
+ if (n % 2 == 0)
+ n --;
+ mpfr_set_ui (x, 17, GMP_RNDN);
+ mpfr_jn (y, n, x, GMP_RNDN);
+ mpfr_set_str_binary (x, "0.0");
+ if (mpfr_cmp (x, y))
+ {
+ printf ("Error in mpfr_jn for n=%ld, x=17, rnd=GMP_RNDN\n", n);
+ printf ("Expected "); mpfr_dump (x);
+ printf ("Got "); mpfr_dump (y);
+ exit (1);
+ }
+
+ mpfr_set_si (x, -17, GMP_RNDN);
+ mpfr_jn (y, n, x, GMP_RNDN);
+ mpfr_set_str_binary (x, "-0.0");
+ if (mpfr_cmp (x, y))
+ {
+ printf ("Error in mpfr_jn for n=%ld, x=-17, rnd=GMP_RNDN\n", n);
+ printf ("Expected "); mpfr_dump (x);
+ printf ("Got "); mpfr_dump (y);
+ exit (1);
+ }
+
+ mpfr_set_ui (x, 17, GMP_RNDN);
+ mpfr_jn (y, -n, x, GMP_RNDN);
+ mpfr_set_str_binary (x, "-0.0");
+ if (mpfr_cmp (x, y))
+ {
+ printf ("Error in mpfr_jn for n=%ld, x=17, rnd=GMP_RNDN\n", -n);
+ printf ("Expected "); mpfr_dump (x);
+ printf ("Got "); mpfr_dump (y);
+ exit (1);
+ }
+
+ mpfr_set_si (x, -17, GMP_RNDN);
+ mpfr_jn (y, -n, x, GMP_RNDN);
+ mpfr_set_str_binary (x, "0.0");
+ if (mpfr_cmp (x, y))
+ {
+ printf ("Error in mpfr_jn for n=%ld, x=-17, rnd=GMP_RNDN\n", -n);
+ printf ("Expected "); mpfr_dump (x);
+ printf ("Got "); mpfr_dump (y);
+ exit (1);
+ }
+
+ mpfr_clear (x);
+ mpfr_clear (y);
+
+ tests_end_mpfr ();
+
+ return 0;
+}
projects / msp430-gcc.git / blobdiff