| /* tyn -- test file for the Bessel function of second 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 "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 (y, n, x, 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 (y, 17, x, GMP_RNDN); |
| MPFR_ASSERTN(mpfr_nan_p (y)); |
| |
| mpfr_set_inf (x, 1); /* +Inf */ |
| mpfr_yn (y, 17, x, GMP_RNDN); |
| MPFR_ASSERTN(mpfr_cmp_ui (y, 0) == 0 && MPFR_IS_POS (y)); |
| |
| mpfr_set_inf (x, -1); /* -Inf */ |
| mpfr_yn (y, 17, x, GMP_RNDN); |
| MPFR_ASSERTN(mpfr_nan_p (y)); |
| |
| mpfr_set_ui (x, 0, GMP_RNDN); /* +0 */ |
| mpfr_yn (y, 0, x, GMP_RNDN); |
| MPFR_ASSERTN(mpfr_inf_p (y) && MPFR_IS_NEG (y)); /* y0(+0)=-Inf */ |
| mpfr_yn (y, 17, x, GMP_RNDN); |
| MPFR_ASSERTN(mpfr_inf_p (y) && MPFR_IS_NEG (y)); /* y17(+0)=-Inf */ |
| mpfr_yn (y, -17, x, GMP_RNDN); |
| MPFR_ASSERTN(mpfr_inf_p (y) && MPFR_IS_POS (y)); /* y(-17,+0)=+Inf */ |
| mpfr_yn (y, -42, x, 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 (y, 0, x, GMP_RNDN); |
| MPFR_ASSERTN(mpfr_inf_p (y) && MPFR_IS_NEG (y)); /* y0(-0)=-Inf */ |
| mpfr_yn (y, 17, x, GMP_RNDN); |
| MPFR_ASSERTN(mpfr_inf_p (y) && MPFR_IS_NEG (y)); /* y17(-0)=-Inf */ |
| mpfr_yn (y, -17, x, GMP_RNDN); |
| MPFR_ASSERTN(mpfr_inf_p (y) && MPFR_IS_POS (y)); /* y(-17,-0)=+Inf */ |
| mpfr_yn (y, -42, x, 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 (y, 0, x, GMP_RNDN); |
| mpfr_set_str_binary (x, "0.00010110100110000000001000100110111100110101100011011111"); |
| if (mpfr_cmp (x, y)) |
| { |
| printf ("Error in mpfr_yn 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 (y, 1, x, GMP_RNDN); |
| mpfr_set_str_binary (x, "-0.110001111111110110010000001111101011001101011100101"); |
| if (mpfr_cmp (x, y)) |
| { |
| printf ("Error in mpfr_yn 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 (y, -1, x, GMP_RNDN); |
| mpfr_set_str_binary (x, "0.110001111111110110010000001111101011001101011100101"); |
| if (mpfr_cmp (x, y)) |
| { |
| printf ("Error in mpfr_yn 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 (y, 2, x, GMP_RNDN); |
| mpfr_set_str_binary (x, "-1.101001101001001100100010101001000101101000010010001"); |
| if (mpfr_cmp (x, y)) |
| { |
| printf ("Error in mpfr_yn 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 (y, -2, x, GMP_RNDN); |
| mpfr_set_str_binary (x, "-1.101001101001001100100010101001000101101000010010001"); |
| if (mpfr_cmp (x, y)) |
| { |
| printf ("Error in mpfr_yn 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 (y, 17, x, GMP_RNDN); |
| mpfr_set_str_binary (x, "-0.11000100111000100010101101011000110011001101100001011E60"); |
| if (mpfr_cmp (x, y)) |
| { |
| printf ("Error in mpfr_yn 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 (y, -17, x, GMP_RNDN); |
| mpfr_set_str_binary (x, "0.11000100111000100010101101011000110011001101100001011E60"); |
| if (mpfr_cmp (x, y)) |
| { |
| printf ("Error in mpfr_yn 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 (y, 1, x, GMP_RNDN); |
| mpfr_set_str_binary (x, "0.00101010110011011111001100000001101011011001111111"); |
| if (mpfr_cmp (x, y)) |
| { |
| printf ("Error in mpfr_yn 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; |
| } |