219 lines
6.2 KiB
C
219 lines
6.2 KiB
C
|
/*=============================================================================
|
||
|
|
|
||
|
|
This file is part of FLINT.
|
||
|
|
|
||
|
|
FLINT is free software; you can redistribute it and/or modify
|
||
|
|
it under the terms of the GNU General Public License as published by
|
||
|
|
the Free Software Foundation; either version 2 of the License, or
|
||
|
|
(at your option) any later version.
|
||
|
|
|
||
|
|
FLINT 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 General Public License for more details.
|
||
|
|
|
||
|
|
You should have received a copy of the GNU General Public License
|
||
|
|
along with FLINT; if not, write to the Free Software
|
||
|
|
Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA
|
||
|
|
|
||
|
|
=============================================================================*/
|
||
|
|
/******************************************************************************
|
||
|
|
|
||
|
|
Copyright (C) 2009 William Hart
|
||
|
|
|
||
|
|
******************************************************************************/
|
||
|
|
|
||
|
|
#include <stdio.h>
|
||
|
|
#include <stdlib.h>
|
||
|
|
#include <gmp.h>
|
||
|
|
#include "flint.h"
|
||
|
|
#include "ulong_extras.h"
|
||
|
|
#include "fmpz.h"
|
||
|
|
|
||
|
|
int
|
||
|
|
main(void)
|
||
|
|
{
|
||
|
|
int i, result;
|
||
|
|
FLINT_TEST_INIT(state);
|
||
|
|
|
||
|
|
flint_printf("gcdinv....");
|
||
|
|
fflush(stdout);
|
||
|
|
|
||
|
|
|
||
|
|
|
||
|
|
/* Test aliasing of d and f, a and g */
|
||
|
|
for (i = 0; i < 1000 * flint_test_multiplier(); i++)
|
||
|
|
{
|
||
|
|
fmpz_t d, a, f, g, F, G;
|
||
|
|
|
||
|
|
fmpz_init(d);
|
||
|
|
fmpz_init(a);
|
||
|
|
fmpz_init(f);
|
||
|
|
fmpz_init(g);
|
||
|
|
fmpz_init(F);
|
||
|
|
fmpz_init(G);
|
||
|
|
|
||
|
|
fmpz_randtest_unsigned(G, state, 200);
|
||
|
|
fmpz_add_ui(G, G, 1);
|
||
|
|
fmpz_randm(F, state, G);
|
||
|
|
fmpz_set(f, F);
|
||
|
|
fmpz_set(g, G);
|
||
|
|
|
||
|
|
fmpz_gcdinv(d, a, f, g);
|
||
|
|
fmpz_gcdinv(f, g, f, g);
|
||
|
|
|
||
|
|
result = (fmpz_equal(d, f) && (fmpz_equal(a, g) || fmpz_is_zero(F)));
|
||
|
|
if (!result)
|
||
|
|
{
|
||
|
|
flint_printf("FAIL:\n\n");
|
||
|
|
flint_printf("d = "), fmpz_print(d), flint_printf("\n");
|
||
|
|
flint_printf("a = "), fmpz_print(a), flint_printf("\n");
|
||
|
|
flint_printf("f = "), fmpz_print(f), flint_printf("\n");
|
||
|
|
flint_printf("g = "), fmpz_print(g), flint_printf("\n");
|
||
|
|
flint_printf("F = "), fmpz_print(F), flint_printf("\n");
|
||
|
|
flint_printf("G = "), fmpz_print(G), flint_printf("\n");
|
||
|
|
abort();
|
||
|
|
}
|
||
|
|
|
||
|
|
fmpz_clear(d);
|
||
|
|
fmpz_clear(a);
|
||
|
|
fmpz_clear(f);
|
||
|
|
fmpz_clear(g);
|
||
|
|
fmpz_clear(F);
|
||
|
|
fmpz_clear(G);
|
||
|
|
}
|
||
|
|
|
||
|
|
/* Test aliasing of a and f, d and g */
|
||
|
|
for (i = 0; i < 1000 * flint_test_multiplier(); i++)
|
||
|
|
{
|
||
|
|
fmpz_t d, a, f, g, F, G;
|
||
|
|
|
||
|
|
fmpz_init(d);
|
||
|
|
fmpz_init(a);
|
||
|
|
fmpz_init(f);
|
||
|
|
fmpz_init(g);
|
||
|
|
fmpz_init(F);
|
||
|
|
fmpz_init(G);
|
||
|
|
|
||
|
|
fmpz_randtest_unsigned(G, state, 200);
|
||
|
|
fmpz_add_ui(G, G, 1);
|
||
|
|
fmpz_randm(F, state, G);
|
||
|
|
fmpz_set(f, F);
|
||
|
|
fmpz_set(g, G);
|
||
|
|
|
||
|
|
fmpz_gcdinv(d, a, f, g);
|
||
|
|
fmpz_gcdinv(g, f, f, g);
|
||
|
|
|
||
|
|
result = (fmpz_equal(d, g) && (fmpz_equal(a, f) || fmpz_is_zero(F)));
|
||
|
|
if (!result)
|
||
|
|
{
|
||
|
|
flint_printf("FAIL:\n\n");
|
||
|
|
flint_printf("d = "), fmpz_print(d), flint_printf("\n");
|
||
|
|
flint_printf("a = "), fmpz_print(a), flint_printf("\n");
|
||
|
|
flint_printf("f = "), fmpz_print(f), flint_printf("\n");
|
||
|
|
flint_printf("g = "), fmpz_print(g), flint_printf("\n");
|
||
|
|
flint_printf("F = "), fmpz_print(F), flint_printf("\n");
|
||
|
|
flint_printf("G = "), fmpz_print(G), flint_printf("\n");
|
||
|
|
abort();
|
||
|
|
}
|
||
|
|
|
||
|
|
fmpz_clear(d);
|
||
|
|
fmpz_clear(a);
|
||
|
|
fmpz_clear(f);
|
||
|
|
fmpz_clear(g);
|
||
|
|
fmpz_clear(F);
|
||
|
|
fmpz_clear(G);
|
||
|
|
}
|
||
|
|
|
||
|
|
/* Test a f == d mod g (generically d == 1) */
|
||
|
|
for (i = 0; i < 1000 * flint_test_multiplier(); i++)
|
||
|
|
{
|
||
|
|
fmpz_t d, a, f, g, t;
|
||
|
|
|
||
|
|
fmpz_init(d);
|
||
|
|
fmpz_init(a);
|
||
|
|
fmpz_init(f);
|
||
|
|
fmpz_init(g);
|
||
|
|
fmpz_init(t);
|
||
|
|
|
||
|
|
fmpz_randtest_unsigned(g, state, 200);
|
||
|
|
fmpz_add_ui(g, g, 1);
|
||
|
|
fmpz_randm(f, state, g);
|
||
|
|
|
||
|
|
fmpz_gcdinv(d, a, f, g);
|
||
|
|
|
||
|
|
fmpz_mul(t, a, f);
|
||
|
|
fmpz_mod(t, t, g);
|
||
|
|
|
||
|
|
result = (fmpz_equal(t, d) || fmpz_is_zero(f));
|
||
|
|
if (!result)
|
||
|
|
{
|
||
|
|
flint_printf("FAIL:\n\n");
|
||
|
|
flint_printf("d = "), fmpz_print(d), flint_printf("\n");
|
||
|
|
flint_printf("a = "), fmpz_print(a), flint_printf("\n");
|
||
|
|
flint_printf("f = "), fmpz_print(f), flint_printf("\n");
|
||
|
|
flint_printf("g = "), fmpz_print(g), flint_printf("\n");
|
||
|
|
flint_printf("t = "), fmpz_print(t), flint_printf("\n");
|
||
|
|
abort();
|
||
|
|
}
|
||
|
|
|
||
|
|
fmpz_clear(d);
|
||
|
|
fmpz_clear(a);
|
||
|
|
fmpz_clear(f);
|
||
|
|
fmpz_clear(g);
|
||
|
|
fmpz_clear(t);
|
||
|
|
}
|
||
|
|
|
||
|
|
/* Test a f == d mod g (specifically d > 1) */
|
||
|
|
for (i = 0; i < 1000 * flint_test_multiplier(); i++)
|
||
|
|
{
|
||
|
|
fmpz_t d, a, f, g, t, x;
|
||
|
|
|
||
|
|
fmpz_init(d);
|
||
|
|
fmpz_init(a);
|
||
|
|
fmpz_init(f);
|
||
|
|
fmpz_init(g);
|
||
|
|
fmpz_init(t);
|
||
|
|
fmpz_init(x);
|
||
|
|
|
||
|
|
fmpz_randtest_unsigned(g, state, 200);
|
||
|
|
fmpz_add_ui(g, g, 1);
|
||
|
|
fmpz_randm(f, state, g);
|
||
|
|
fmpz_randtest_unsigned(x, state, 100);
|
||
|
|
fmpz_add_ui(x, x, 1);
|
||
|
|
fmpz_mul(f, f, x);
|
||
|
|
fmpz_mul(g, g, x);
|
||
|
|
|
||
|
|
fmpz_gcdinv(d, a, f, g);
|
||
|
|
|
||
|
|
fmpz_mul(t, a, f);
|
||
|
|
fmpz_mod(t, t, g);
|
||
|
|
|
||
|
|
result = (fmpz_equal(t, d) || fmpz_is_zero(f));
|
||
|
|
if (!result)
|
||
|
|
{
|
||
|
|
flint_printf("FAIL:\n\n");
|
||
|
|
flint_printf("d = "), fmpz_print(d), flint_printf("\n");
|
||
|
|
flint_printf("a = "), fmpz_print(a), flint_printf("\n");
|
||
|
|
flint_printf("f = "), fmpz_print(f), flint_printf("\n");
|
||
|
|
flint_printf("g = "), fmpz_print(g), flint_printf("\n");
|
||
|
|
flint_printf("t = "), fmpz_print(t), flint_printf("\n");
|
||
|
|
flint_printf("x = "), fmpz_print(x), flint_printf("\n");
|
||
|
|
abort();
|
||
|
|
}
|
||
|
|
|
||
|
|
fmpz_clear(d);
|
||
|
|
fmpz_clear(a);
|
||
|
|
fmpz_clear(f);
|
||
|
|
fmpz_clear(g);
|
||
|
|
fmpz_clear(t);
|
||
|
|
fmpz_clear(x);
|
||
|
|
}
|
||
|
|
|
||
|
|
FLINT_TEST_CLEANUP(state);
|
||
|
|
|
||
|
|
flint_printf("PASS\n");
|
||
|
|
return 0;
|
||
|
|
}
|
||
|
|
|