t-cmp_d.c
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上传日期:2022-08-06
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- /* Test mpz_cmp_d and mpz_cmpabs_d.
- Copyright 2001, 2002, 2003, 2005 Free Software Foundation, Inc.
- This file is part of the GNU MP Library.
- The GNU MP 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 3 of the License, or (at your
- option) any later version.
- The GNU MP 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 MP Library. If not, see http://www.gnu.org/licenses/. */
- #include <stdio.h>
- #include <stdlib.h>
- #include <string.h>
- #include "gmp.h"
- #include "gmp-impl.h"
- #include "tests.h"
- /* FIXME: Not sure if the tests here are exhaustive. Ought to try to get
- each possible exit from mpz_cmp_d (and mpz_cmpabs_d) exercised. */
- #define SGN(n) ((n) > 0 ? 1 : (n) < 0 ? -1 : 0)
- void
- check_one (const char *name, mpz_srcptr x, double y, int cmp, int cmpabs)
- {
- int got;
- got = mpz_cmp_d (x, y);
- if (SGN(got) != cmp)
- {
- int i;
- printf ("mpz_cmp_d wrong (from %s)n", name);
- printf (" got %dn", got);
- printf (" want %dn", cmp);
- fail:
- mpz_trace (" x", x);
- printf (" y %gn", y);
- mp_trace_base=-16;
- mpz_trace (" x", x);
- printf (" y %gn", y);
- printf (" y");
- for (i = 0; i < sizeof(y); i++)
- printf (" %02X", (unsigned) ((unsigned char *) &y)[i]);
- printf ("n");
- abort ();
- }
- got = mpz_cmpabs_d (x, y);
- if (SGN(got) != cmpabs)
- {
- printf ("mpz_cmpabs_d wrongn");
- printf (" got %dn", got);
- printf (" want %dn", cmpabs);
- goto fail;
- }
- }
- void
- check_data (void)
- {
- static const struct {
- const char *x;
- double y;
- int cmp, cmpabs;
- } data[] = {
- { "0", 0.0, 0, 0 },
- { "1", 0.0, 1, 1 },
- { "-1", 0.0, -1, 1 },
- { "0", 1.0, -1, -1 },
- { "0", -1.0, 1, -1 },
- { "0x1000000000000000000000000000000000000000000000000", 0.0, 1, 1 },
- { "-0x1000000000000000000000000000000000000000000000000", 0.0, -1, 1 },
- { "0", 1e100, -1, -1 },
- { "0", -1e100, 1, -1 },
- { "2", 1.5, 1, 1 },
- { "2", -1.5, 1, 1 },
- { "-2", 1.5, -1, 1 },
- { "-2", -1.5, -1, 1 },
- };
- mpz_t x;
- int i;
- mpz_init (x);
- for (i = 0; i < numberof (data); i++)
- {
- mpz_set_str_or_abort (x, data[i].x, 0);
- check_one ("check_data", x, data[i].y, data[i].cmp, data[i].cmpabs);
- }
- mpz_clear (x);
- }
- /* Equality of integers with up to 53 bits */
- void
- check_onebits (void)
- {
- mpz_t x, x2;
- double y;
- int i;
- mpz_init_set_ui (x, 0L);
- mpz_init (x2);
- for (i = 0; i < 512; i++)
- {
- mpz_mul_2exp (x, x, 1);
- mpz_add_ui (x, x, 1L);
- y = mpz_get_d (x);
- mpz_set_d (x2, y);
- /* stop if any truncation is occurring */
- if (mpz_cmp (x, x2) != 0)
- break;
- check_one ("check_onebits", x, y, 0, 0);
- check_one ("check_onebits", x, -y, 1, 0);
- mpz_neg (x, x);
- check_one ("check_onebits", x, y, -1, 0);
- check_one ("check_onebits", x, -y, 0, 0);
- mpz_neg (x, x);
- }
- mpz_clear (x);
- mpz_clear (x2);
- }
- /* With the mpz differing by 1, in a limb position possibly below the double */
- void
- check_low_z_one (void)
- {
- mpz_t x;
- double y;
- unsigned long i;
- mpz_init (x);
- /* FIXME: It'd be better to base this on the float format. */
- #ifdef __vax
- #define LIM 127 /* vax fp numbers have limited range */
- #else
- #define LIM 512
- #endif
- for (i = 1; i < LIM; i++)
- {
- mpz_set_ui (x, 1L);
- mpz_mul_2exp (x, x, i);
- y = mpz_get_d (x);
- check_one ("check_low_z_one", x, y, 0, 0);
- check_one ("check_low_z_one", x, -y, 1, 0);
- mpz_neg (x, x);
- check_one ("check_low_z_one", x, y, -1, 0);
- check_one ("check_low_z_one", x, -y, 0, 0);
- mpz_neg (x, x);
- mpz_sub_ui (x, x, 1);
- check_one ("check_low_z_one", x, y, -1, -1);
- check_one ("check_low_z_one", x, -y, 1, -1);
- mpz_neg (x, x);
- check_one ("check_low_z_one", x, y, -1, -1);
- check_one ("check_low_z_one", x, -y, 1, -1);
- mpz_neg (x, x);
- mpz_add_ui (x, x, 2);
- check_one ("check_low_z_one", x, y, 1, 1);
- check_one ("check_low_z_one", x, -y, 1, 1);
- mpz_neg (x, x);
- check_one ("check_low_z_one", x, y, -1, 1);
- check_one ("check_low_z_one", x, -y, -1, 1);
- mpz_neg (x, x);
- }
- mpz_clear (x);
- }
- /* Comparing 1 and 1+2^-n. "y" is volatile to make gcc store and fetch it,
- which forces it to a 64-bit double, whereas on x86 it would otherwise
- remain on the float stack as an 80-bit long double. */
- void
- check_one_2exp (void)
- {
- double e;
- mpz_t x;
- volatile double y;
- int i;
- mpz_init (x);
- e = 1.0;
- for (i = 0; i < 128; i++)
- {
- e /= 2.0;
- y = 1.0 + e;
- if (y == 1.0)
- break;
- mpz_set_ui (x, 1L);
- check_one ("check_one_2exp", x, y, -1, -1);
- check_one ("check_one_2exp", x, -y, 1, -1);
- mpz_set_si (x, -1L);
- check_one ("check_one_2exp", x, y, -1, -1);
- check_one ("check_one_2exp", x, -y, 1, -1);
- }
- mpz_clear (x);
- }
- void
- check_infinity (void)
- {
- mpz_t x;
- double y = tests_infinity_d ();
- if (y == 0.0)
- return;
- mpz_init (x);
- /* 0 cmp inf */
- mpz_set_ui (x, 0L);
- check_one ("check_infinity", x, y, -1, -1);
- check_one ("check_infinity", x, -y, 1, -1);
- /* 123 cmp inf */
- mpz_set_ui (x, 123L);
- check_one ("check_infinity", x, y, -1, -1);
- check_one ("check_infinity", x, -y, 1, -1);
- /* -123 cmp inf */
- mpz_set_si (x, -123L);
- check_one ("check_infinity", x, y, -1, -1);
- check_one ("check_infinity", x, -y, 1, -1);
- /* 2^5000 cmp inf */
- mpz_set_ui (x, 1L);
- mpz_mul_2exp (x, x, 5000L);
- check_one ("check_infinity", x, y, -1, -1);
- check_one ("check_infinity", x, -y, 1, -1);
- /* -2^5000 cmp inf */
- mpz_neg (x, x);
- check_one ("check_infinity", x, y, -1, -1);
- check_one ("check_infinity", x, -y, 1, -1);
- mpz_clear (x);
- }
- int
- main (int argc, char *argv[])
- {
- tests_start ();
- check_data ();
- check_onebits ();
- check_low_z_one ();
- check_one_2exp ();
- check_infinity ();
- tests_end ();
- exit (0);
- }