--- /dev/null
+/* tzeta -- test file for the Riemann Zeta function
+
+Copyright 2003, 2004, 2005, 2006, 2007, 2008, 2009 Free Software Foundation, Inc.
+Contributed by Jean-Luc Re'my and the Spaces project, INRIA Lorraine.
+
+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"
+
+static void
+test1 (void)
+{
+ mpfr_t x, y;
+
+ mpfr_init2 (x, 32);
+ mpfr_init2 (y, 42);
+
+ mpfr_set_str_binary (x, "1.1111111101000111011010010010100e-1");
+ mpfr_zeta (y, x, GMP_RNDN); /* shouldn't crash */
+
+ mpfr_set_prec (x, 40);
+ mpfr_set_prec (y, 50);
+ mpfr_set_str_binary (x, "1.001101001101000010011010110100110000101e-1");
+ mpfr_zeta (y, x, GMP_RNDU);
+ mpfr_set_prec (x, 50);
+ mpfr_set_str_binary (x, "-0.11111100011100111111101111100011110111001111111111E1");
+ if (mpfr_cmp (x, y))
+ {
+ printf ("Error for input on 40 bits, output on 50 bits\n");
+ printf ("Expected "); mpfr_print_binary (x); puts ("");
+ printf ("Got "); mpfr_print_binary (y); puts ("");
+ mpfr_set_str_binary (x, "1.001101001101000010011010110100110000101e-1");
+ mpfr_zeta (y, x, GMP_RNDU);
+ mpfr_print_binary (x); puts ("");
+ mpfr_print_binary (y); puts ("");
+ exit (1);
+ }
+
+ mpfr_set_prec (x, 2);
+ mpfr_set_prec (y, 55);
+ mpfr_set_str_binary (x, "0.11e3");
+ mpfr_zeta (y, x, GMP_RNDN);
+ mpfr_set_prec (x, 55);
+ mpfr_set_str_binary (x, "0.1000001000111000010011000010011000000100100100100010010E1");
+ if (mpfr_cmp (x, y))
+ {
+ printf ("Error in mpfr_zeta (1)\n");
+ printf ("Expected "); mpfr_print_binary (x); puts ("");
+ printf ("Got "); mpfr_print_binary (y); puts ("");
+ exit (1);
+ }
+
+ mpfr_set_prec (x, 3);
+ mpfr_set_prec (y, 47);
+ mpfr_set_str_binary (x, "0.111e4");
+ mpfr_zeta (y, x, GMP_RNDN);
+ mpfr_set_prec (x, 47);
+ mpfr_set_str_binary (x, "1.0000000000000100000000111001001010111100101011");
+ if (mpfr_cmp (x, y))
+ {
+ printf ("Error in mpfr_zeta (2)\n");
+ exit (1);
+ }
+
+ /* coverage test */
+ mpfr_set_prec (x, 7);
+ mpfr_set_str_binary (x, "1.000001");
+ mpfr_set_prec (y, 2);
+ mpfr_zeta (y, x, GMP_RNDN);
+ MPFR_ASSERTN(mpfr_cmp_ui (y, 64) == 0);
+
+ /* another coverage test */
+ mpfr_set_prec (x, 24);
+ mpfr_set_ui (x, 2, GMP_RNDN);
+ mpfr_set_prec (y, 2);
+ mpfr_zeta (y, x, GMP_RNDN);
+ MPFR_ASSERTN(mpfr_cmp_ui_2exp (y, 3, -1) == 0);
+
+ mpfr_set_nan (x);
+ mpfr_zeta (y, x, GMP_RNDN);
+ MPFR_ASSERTN(mpfr_nan_p (y));
+
+ mpfr_set_inf (x, 1);
+ mpfr_zeta (y, x, GMP_RNDN);
+ MPFR_ASSERTN(mpfr_cmp_ui (y, 1) == 0);
+
+ mpfr_set_inf (x, -1);
+ mpfr_zeta (y, x, GMP_RNDN);
+ MPFR_ASSERTN(mpfr_nan_p (y));
+
+ mpfr_clear (x);
+ mpfr_clear (y);
+}
+
+static const char *const val[] = {
+ "-2000", "0.0",
+ "-2.0", "0.0",
+ "-1.0", "-0.000101010101010101010101010101010101010101010101010101010101010",
+ "-0.9", "-0.000110011110011111010001010001100010111101001010100110001110110",
+ /* "-0.8", "-0.000111110011101010001011100011010010000001010011110100010001110",
+ "-0.7", "-0.00100101011011111100110011110011111010111111000110110100010110",
+ "-0.6", "-0.00101100101100100100110111111000110010111010110010111000001100",
+ "-0.5", "-0.00110101001110000000100000011001100100010000111100010001111100",
+ "-0.4", "-0.00111111010001100011110001010010111110010001010101111101110001",
+ "-0.3", "-0.0100101100110111010101010100111011000001001010111010110101010",
+ "-0.2", "-0.0101100110000011101110101011011110101111000010000010110101111",
+ "-0.1", "-0.0110101011001111011101001111011000010001111010110011011111011",
+ "-0.0", "-0.100000000000000000000000000000000000000000000000000000000000",
+ "0.1", "-0.100110100110000010101010101110100000101100100011011001000101",
+ "0.2", "-0.10111011111000100011110111100010010001111010010010010100010110",
+ "0.3", "-0.11100111100100010011001000001011001100110010110101101110110110",
+ "0.4", "-1.0010001010000010000110111000100101001000001011101010110101011",
+ "0.5", "-1.0111010111011001110010110000011111100111001111111110111000110",
+ "0.6", "-1.1111001111100001100111101110010001001000001101100110110000100",
+ "0.7", "-10.110001110100010001110111000101010011110011000110010100101000",
+ "0.8", "-100.01110000000000101000010010000011000000111101100101100011010",
+ "0.9", "-1001.0110111000011011111100111100111011100010001111111010000100",
+ "0.99","-0.11000110110110001101011010110001011010011000110001011100101110E7",
+ "0.997", "-0.10100110011000001100111110011111100011110000111011101110001010E9",
+ "0.9995", "-0.11111001111011011000011110111111010111101001000110001111110010E11",
+ "0.99998", "-0.11000011010011110110110000111011101100001000101101011001110100E16",
+ "1.00001", "0.11000011010100000100100111100010001110100000110101110011111011E17",
+ "1.0002", "0.10011100010001001001111000101010111000011011011111110010110100E13",
+ "1.003","0.10100110111101001001010000000110101101110100001010100000110000E9",
+ "1.04", "11001.100101001000001011000111010110011010000001000010111101101",
+ "1.1", "1010.1001010110011110011010100010001100101001001111111101100001",
+ "1.2", "101.10010111011100011111001001100101101111110000110001101100010",
+ "1.3", "11.111011101001010000111001001110100100000101000101101011010100",
+ "1.4", "11.000110110000010100100101011110110001100001110100100100111111",
+ "1.5", "10.100111001100010010100001011111110111101100010011101011011100",
+ "1.6", "10.010010010010011111110000010011000110101001110011101010100110",
+ "1.7", "10.000011011110010111011110001100110010100010011100011111110010",
+ "1.8", "1.1110000111011001110011001101110101010000011011101100010111001",
+ "1.9", "1.1011111111101111011000011110001100100111100110111101101000101",
+ "2.0", "1.1010010100011010011001100010010100110000011111010011001000110",
+ "42.17", "1.0000000000000000000000000000000000000000001110001110001011001",
+ "-17.42", "-11.101110101010101000000001001000001111111101000100001100101100",
+ "-24.17", "-0.10001111010010011111000010001011111010010111101011000010010011E13"*/
+};
+
+static void
+test2 (void)
+{
+ mpfr_t x, y;
+ int i, n = numberof(val);
+
+ mpfr_inits2 (55, x, y, (mpfr_ptr) 0);
+
+ for(i = 0 ; i < n ; i+=2)
+ {
+ mpfr_set_str1 (x, val[i]);
+ mpfr_zeta(y, x, GMP_RNDZ);
+ if (mpfr_cmp_str (y, val[i+1] , 2, GMP_RNDZ))
+ {
+ printf("Wrong result for zeta(%s=", val[i]);
+ mpfr_print_binary (x);
+ printf (").\nGot : ");
+ mpfr_print_binary(y); putchar('\n');
+ printf("Expected: ");
+ mpfr_set_str (y, val[i+1], 2, GMP_RNDZ);
+ mpfr_print_binary(y); putchar('\n');
+ mpfr_set_prec(y, 65);
+ mpfr_zeta(y, x, GMP_RNDZ);
+ printf("+ Prec : ");
+ mpfr_print_binary(y); putchar('\n');
+ exit(1);
+ }
+ }
+ mpfr_clears (x, y, (mpfr_ptr) 0);
+}
+
+#define TEST_FUNCTION mpfr_zeta
+#define TEST_RANDOM_EMIN -48
+#define TEST_RANDOM_EMAX 31
+#include "tgeneric.c"
+
+/* Usage: tzeta - generic tests
+ tzeta s prec rnd_mode - compute zeta(s) with precision 'prec'
+ and rounding mode 'mode' */
+int
+main (int argc, char *argv[])
+{
+ mpfr_t s, y, z;
+ mp_prec_t prec;
+ mp_rnd_t rnd_mode;
+ int inex;
+
+ tests_start_mpfr ();
+
+ if (argc != 1 && argc != 4)
+ {
+ printf ("Usage: tzeta\n"
+ " or tzeta s prec rnd_mode\n");
+ exit (1);
+ }
+
+ if (argc == 4)
+ {
+ prec = atoi(argv[2]);
+ mpfr_init2 (s, prec);
+ mpfr_init2 (z, prec);
+ mpfr_set_str (s, argv[1], 10, GMP_RNDN);
+ rnd_mode = (mp_rnd_t) atoi(argv[3]);
+
+ mpfr_zeta (z, s, rnd_mode);
+ mpfr_out_str (stdout, 10, 0, z, GMP_RNDN);
+ printf ("\n");
+
+ mpfr_clear (s);
+ mpfr_clear (z);
+
+ return 0;
+ }
+
+ test1();
+
+ mpfr_init2 (s, MPFR_PREC_MIN);
+ mpfr_init2 (y, MPFR_PREC_MIN);
+ mpfr_init2 (z, MPFR_PREC_MIN);
+
+
+ /* the following seems to loop */
+ mpfr_set_prec (s, 6);
+ mpfr_set_prec (z, 6);
+ mpfr_set_str_binary (s, "1.10010e4");
+ mpfr_zeta (z, s, GMP_RNDZ);
+
+
+ mpfr_set_prec (s, 53);
+ mpfr_set_prec (y, 53);
+ mpfr_set_prec (z, 53);
+
+ mpfr_set_ui (s, 1, GMP_RNDN);
+ mpfr_zeta (z, s, GMP_RNDN);
+ if (!mpfr_inf_p (z) || MPFR_SIGN (z) < 0)
+ {
+ printf ("Error in mpfr_zeta for s = 1 (should be +inf)\n");
+ exit (1);
+ }
+
+ mpfr_set_str_binary (s, "0.1100011101110111111111111010000110010111001011001011");
+ mpfr_set_str_binary (y, "-0.11111101111011001001001111111000101010000100000100100E2");
+ mpfr_zeta (z, s, GMP_RNDN);
+ if (mpfr_cmp (z, y) != 0)
+ {
+ printf ("Error in mpfr_zeta (1,RNDN)\n");
+ exit (1);
+ }
+ mpfr_zeta (z, s, GMP_RNDZ);
+ if (mpfr_cmp (z, y) != 0)
+ {
+ printf ("Error in mpfr_zeta (1,RNDZ)\n");
+ exit (1);
+ }
+ mpfr_zeta (z, s, GMP_RNDU);
+ if (mpfr_cmp (z, y) != 0)
+ {
+ printf ("Error in mpfr_zeta (1,RNDU)\n");
+ exit (1);
+ }
+ mpfr_zeta (z, s, GMP_RNDD);
+ mpfr_nexttoinf (y);
+ if (mpfr_cmp (z, y) != 0)
+ {
+ printf ("Error in mpfr_zeta (1,RNDD)\n");
+ exit (1);
+ }
+
+ mpfr_set_str_binary (s, "0.10001011010011100110010001100100001011000010011001011");
+ mpfr_set_str_binary (y, "-0.11010011010010101101110111011010011101111101111010110E1");
+ mpfr_zeta (z, s, GMP_RNDN);
+ if (mpfr_cmp (z, y) != 0)
+ {
+ printf ("Error in mpfr_zeta (2,RNDN)\n");
+ exit (1);
+ }
+ mpfr_zeta (z, s, GMP_RNDZ);
+ if (mpfr_cmp (z, y) != 0)
+ {
+ printf ("Error in mpfr_zeta (2,RNDZ)\n");
+ exit (1);
+ }
+ mpfr_zeta (z, s, GMP_RNDU);
+ if (mpfr_cmp (z, y) != 0)
+ {
+ printf ("Error in mpfr_zeta (2,RNDU)\n");
+ exit (1);
+ }
+ mpfr_zeta (z, s, GMP_RNDD);
+ mpfr_nexttoinf (y);
+ if (mpfr_cmp (z, y) != 0)
+ {
+ printf ("Error in mpfr_zeta (2,RNDD)\n");
+ exit (1);
+ }
+
+ mpfr_set_str_binary (s, "0.1100111110100001111110111000110101111001011101000101");
+ mpfr_set_str_binary (y, "-0.10010111010110000111011111001101100001111011000001010E3");
+ mpfr_zeta (z, s, GMP_RNDN);
+ if (mpfr_cmp (z, y) != 0)
+ {
+ printf ("Error in mpfr_zeta (3,RNDN)\n");
+ exit (1);
+ }
+ mpfr_zeta (z, s, GMP_RNDD);
+ if (mpfr_cmp (z, y) != 0)
+ {
+ printf ("Error in mpfr_zeta (3,RNDD)\n");
+ exit (1);
+ }
+ mpfr_nexttozero (y);
+ mpfr_zeta (z, s, GMP_RNDZ);
+ if (mpfr_cmp (z, y) != 0)
+ {
+ printf ("Error in mpfr_zeta (3,RNDZ)\n");
+ exit (1);
+ }
+ mpfr_zeta (z, s, GMP_RNDU);
+ if (mpfr_cmp (z, y) != 0)
+ {
+ printf ("Error in mpfr_zeta (3,RNDU)\n");
+ exit (1);
+ }
+
+ mpfr_set_str (s, "-400000001", 10, GMP_RNDZ);
+ mpfr_zeta (z, s, GMP_RNDN);
+ if (!(mpfr_inf_p (z) && MPFR_SIGN(z) < 0))
+ {
+ printf ("Error in mpfr_zeta (-400000001)\n");
+ exit (1);
+ }
+ mpfr_set_str (s, "-400000003", 10, GMP_RNDZ);
+ mpfr_zeta (z, s, GMP_RNDN);
+ if (!(mpfr_inf_p (z) && MPFR_SIGN(z) > 0))
+ {
+ printf ("Error in mpfr_zeta (-400000003)\n");
+ exit (1);
+ }
+
+ mpfr_set_prec (s, 34);
+ mpfr_set_prec (z, 34);
+ mpfr_set_str_binary (s, "-1.111111100001011110000010001010000e-35");
+ mpfr_zeta (z, s, GMP_RNDD);
+ mpfr_set_str_binary (s, "-1.111111111111111111111111111111111e-2");
+ if (mpfr_cmp (s, z))
+ {
+ printf ("Error in mpfr_zeta, prec=34, GMP_RNDD\n");
+ mpfr_dump (z);
+ exit (1);
+ }
+
+ /* bug found by nightly tests on June 7, 2007 */
+ mpfr_set_prec (s, 23);
+ mpfr_set_prec (z, 25);
+ mpfr_set_str_binary (s, "-1.0110110110001000000000e-27");
+ mpfr_zeta (z, s, GMP_RNDN);
+ mpfr_set_prec (s, 25);
+ mpfr_set_str_binary (s, "-1.111111111111111111111111e-2");
+ if (mpfr_cmp (s, z))
+ {
+ printf ("Error in mpfr_zeta, prec=25, GMP_RNDN\n");
+ printf ("expected "); mpfr_dump (s);
+ printf ("got "); mpfr_dump (z);
+ exit (1);
+ }
+
+ /* bug reported by Kevin Rauch on 26 Oct 2007 */
+ mpfr_set_prec (s, 128);
+ mpfr_set_prec (z, 128);
+ mpfr_set_str_binary (s, "-0.1000000000000000000000000000000000000000000000000000000000000001E64");
+ inex = mpfr_zeta (z, s, GMP_RNDN);
+ MPFR_ASSERTN (mpfr_inf_p (z) && MPFR_SIGN (z) < 0 && inex < 0);
+ inex = mpfr_zeta (z, s, GMP_RNDU);
+ mpfr_set_inf (s, -1);
+ mpfr_nextabove (s);
+ MPFR_ASSERTN (mpfr_equal_p (z, s) && inex > 0);
+
+ mpfr_clear (s);
+ mpfr_clear (y);
+ mpfr_clear (z);
+
+ test_generic (2, 70, 5);
+ test2 ();
+
+ tests_end_mpfr ();
+ return 0;
+}
projects / msp430-gcc.git / blobdiff