293 lines
6.5 KiB
C
293 lines
6.5 KiB
C
/* Test mpz_cmp_d and mpz_cmpabs_d.
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Copyright 2001-2003, 2005 Free Software Foundation, Inc.
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This file is part of the GNU MP Library test suite.
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The GNU MP Library test suite is free software; you can redistribute it
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and/or modify it under the terms of the GNU General Public License as
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published by the Free Software Foundation; either version 3 of the License,
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or (at your option) any later version.
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The GNU MP Library test suite is distributed in the hope that it will be
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useful, but WITHOUT ANY WARRANTY; without even the implied warranty of
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MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General
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Public License for more details.
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You should have received a copy of the GNU General Public License along with
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the GNU MP Library test suite. If not, see https://www.gnu.org/licenses/. */
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#include <stdio.h>
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#include <stdlib.h>
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#include <string.h>
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#include "gmp-impl.h"
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#include "tests.h"
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/* FIXME: Not sure if the tests here are exhaustive. Ought to try to get
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each possible exit from mpz_cmp_d (and mpz_cmpabs_d) exercised. */
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#define SGN(n) ((n) > 0 ? 1 : (n) < 0 ? -1 : 0)
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void
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check_one (const char *name, mpz_srcptr x, double y, int cmp, int cmpabs)
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{
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int got;
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got = mpz_cmp_d (x, y);
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if (SGN(got) != cmp)
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{
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int i;
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printf ("mpz_cmp_d wrong (from %s)\n", name);
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printf (" got %d\n", got);
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printf (" want %d\n", cmp);
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fail:
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mpz_trace (" x", x);
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printf (" y %g\n", y);
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mp_trace_base=-16;
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mpz_trace (" x", x);
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printf (" y %g\n", y);
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printf (" y");
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for (i = 0; i < sizeof(y); i++)
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printf (" %02X", (unsigned) ((unsigned char *) &y)[i]);
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printf ("\n");
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abort ();
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}
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got = mpz_cmpabs_d (x, y);
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if (SGN(got) != cmpabs)
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{
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printf ("mpz_cmpabs_d wrong\n");
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printf (" got %d\n", got);
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printf (" want %d\n", cmpabs);
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goto fail;
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}
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}
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void
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check_data (void)
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{
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static const struct {
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const char *x;
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double y;
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int cmp, cmpabs;
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} data[] = {
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{ "0", 0.0, 0, 0 },
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{ "1", 0.0, 1, 1 },
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{ "-1", 0.0, -1, 1 },
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{ "1", 0.5, 1, 1 },
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{ "-1", -0.5, -1, 1 },
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{ "0", 1.0, -1, -1 },
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{ "0", -1.0, 1, -1 },
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{ "0x1000000000000000000000000000000000000000000000000", 1.0, 1, 1 },
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{ "-0x1000000000000000000000000000000000000000000000000", 1.0, -1, 1 },
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{ "0", 1e100, -1, -1 },
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{ "0", -1e100, 1, -1 },
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{ "2", 1.5, 1, 1 },
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{ "2", -1.5, 1, 1 },
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{ "-2", 1.5, -1, 1 },
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{ "-2", -1.5, -1, 1 },
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};
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mpz_t x;
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int i;
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mpz_init (x);
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for (i = 0; i < numberof (data); i++)
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{
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mpz_set_str_or_abort (x, data[i].x, 0);
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check_one ("check_data", x, data[i].y, data[i].cmp, data[i].cmpabs);
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}
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mpz_clear (x);
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}
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/* Equality of integers with up to 53 bits */
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void
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check_onebits (void)
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{
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mpz_t x, x2;
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double y;
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int i;
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mpz_init_set_ui (x, 0L);
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mpz_init (x2);
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for (i = 0; i < 512; i++)
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{
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mpz_mul_2exp (x, x, 1);
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mpz_add_ui (x, x, 1L);
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y = mpz_get_d (x);
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mpz_set_d (x2, y);
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/* stop if any truncation is occurring */
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if (mpz_cmp (x, x2) != 0)
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break;
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check_one ("check_onebits", x, y, 0, 0);
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check_one ("check_onebits", x, -y, 1, 0);
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mpz_neg (x, x);
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check_one ("check_onebits", x, y, -1, 0);
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check_one ("check_onebits", x, -y, 0, 0);
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mpz_neg (x, x);
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}
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mpz_clear (x);
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mpz_clear (x2);
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}
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/* With the mpz differing by 1, in a limb position possibly below the double */
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void
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check_low_z_one (void)
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{
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mpz_t x;
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double y;
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unsigned long i;
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mpz_init (x);
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/* FIXME: It'd be better to base this on the float format. */
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#if defined (__vax) || defined (__vax__)
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#define LIM 127 /* vax fp numbers have limited range */
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#else
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#define LIM 512
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#endif
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for (i = 1; i < LIM; i++)
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{
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mpz_set_ui (x, 1L);
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mpz_mul_2exp (x, x, i);
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y = mpz_get_d (x);
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check_one ("check_low_z_one", x, y, 0, 0);
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check_one ("check_low_z_one", x, -y, 1, 0);
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mpz_neg (x, x);
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check_one ("check_low_z_one", x, y, -1, 0);
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check_one ("check_low_z_one", x, -y, 0, 0);
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mpz_neg (x, x);
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mpz_sub_ui (x, x, 1);
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check_one ("check_low_z_one", x, y, -1, -1);
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check_one ("check_low_z_one", x, -y, 1, -1);
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mpz_neg (x, x);
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check_one ("check_low_z_one", x, y, -1, -1);
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check_one ("check_low_z_one", x, -y, 1, -1);
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mpz_neg (x, x);
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mpz_add_ui (x, x, 2);
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check_one ("check_low_z_one", x, y, 1, 1);
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check_one ("check_low_z_one", x, -y, 1, 1);
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mpz_neg (x, x);
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check_one ("check_low_z_one", x, y, -1, 1);
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check_one ("check_low_z_one", x, -y, -1, 1);
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mpz_neg (x, x);
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}
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mpz_clear (x);
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}
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/* Comparing 1 and 1+2^-n. "y" is volatile to make gcc store and fetch it,
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which forces it to a 64-bit double, whereas on x86 it would otherwise
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remain on the float stack as an 80-bit long double. */
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void
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check_one_2exp (void)
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{
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double e;
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mpz_t x;
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volatile double y;
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int i;
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mpz_init (x);
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e = 1.0;
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for (i = 0; i < 128; i++)
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{
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e /= 2.0;
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y = 1.0 + e;
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if (y == 1.0)
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break;
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mpz_set_ui (x, 1L);
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check_one ("check_one_2exp", x, y, -1, -1);
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check_one ("check_one_2exp", x, -y, 1, -1);
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mpz_set_si (x, -1L);
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check_one ("check_one_2exp", x, y, -1, -1);
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check_one ("check_one_2exp", x, -y, 1, -1);
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}
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mpz_clear (x);
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}
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void
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check_infinity (void)
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{
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mpz_t x;
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double y = tests_infinity_d ();
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if (y == 0.0)
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return;
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mpz_init (x);
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/* 0 cmp inf */
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mpz_set_ui (x, 0L);
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check_one ("check_infinity", x, y, -1, -1);
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check_one ("check_infinity", x, -y, 1, -1);
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/* 123 cmp inf */
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mpz_set_ui (x, 123L);
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check_one ("check_infinity", x, y, -1, -1);
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check_one ("check_infinity", x, -y, 1, -1);
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/* -123 cmp inf */
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mpz_set_si (x, -123L);
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check_one ("check_infinity", x, y, -1, -1);
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check_one ("check_infinity", x, -y, 1, -1);
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/* 2^5000 cmp inf */
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mpz_set_ui (x, 1L);
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mpz_mul_2exp (x, x, 5000L);
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check_one ("check_infinity", x, y, -1, -1);
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check_one ("check_infinity", x, -y, 1, -1);
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/* -2^5000 cmp inf */
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mpz_neg (x, x);
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check_one ("check_infinity", x, y, -1, -1);
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check_one ("check_infinity", x, -y, 1, -1);
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mpz_clear (x);
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}
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int
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main (int argc, char *argv[])
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{
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tests_start ();
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check_data ();
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check_onebits ();
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check_low_z_one ();
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check_one_2exp ();
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check_infinity ();
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tests_end ();
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exit (0);
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}
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