239 lines
6.2 KiB
C
239 lines
6.2 KiB
C
/*=============================================================================
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This file is part of FLINT.
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FLINT is free software; you can redistribute it and/or modify
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it under the terms of the GNU General Public License as published by
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the Free Software Foundation; either version 2 of the License, or
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(at your option) any later version.
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FLINT is distributed in the hope that it will be useful,
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but WITHOUT ANY WARRANTY; without even the implied warranty of
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MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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GNU General Public License for more details.
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You should have received a copy of the GNU General Public License
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along with FLINT; if not, write to the Free Software
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Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA
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=============================================================================*/
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/******************************************************************************
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Copyright (C) 2011 Sebastian Pancratz
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******************************************************************************/
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#include <stdio.h>
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#include <stdlib.h>
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#include <gmp.h>
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#include "flint.h"
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#include "ulong_extras.h"
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#include "long_extras.h"
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#include "padic.h"
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int
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main(void)
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{
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int i, result;
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FLINT_TEST_INIT(state);
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flint_printf("inv... ");
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fflush(stdout);
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/* PRIME p = 2 ***************************************************************/
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/* Check aliasing: a = a^{-1} (mod p^N) */
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for (i = 0; i < 1000; i++)
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{
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fmpz_t p;
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slong N;
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padic_ctx_t ctx;
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padic_t a, d;
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fmpz_init_set_ui(p, n_randtest_prime(state, 0));
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N = n_randint(state, PADIC_TEST_PREC_MAX - PADIC_TEST_PREC_MIN)
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+ PADIC_TEST_PREC_MIN;
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padic_ctx_init(ctx, p, FLINT_MAX(0, N-10), FLINT_MAX(0, N+10), PADIC_SERIES);
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padic_init2(a, N);
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padic_init2(d, N);
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padic_randtest_not_zero(a, state, ctx);
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padic_inv(d, a, ctx);
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padic_inv(a, a, ctx);
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result = (padic_equal(a, d));
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if (!result)
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{
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flint_printf("FAIL (aliasing):\n\n");
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flint_printf("a = "), padic_print(a, ctx), flint_printf("\n");
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flint_printf("d = "), padic_print(d, ctx), flint_printf("\n");
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abort();
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}
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padic_clear(a);
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padic_clear(d);
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fmpz_clear(p);
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padic_ctx_clear(ctx);
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}
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/* Check that correct only mod p^{N} */
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for (i = 0; i < 1000; i++)
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{
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fmpz_t p;
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slong N;
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padic_ctx_t ctx;
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padic_t a, b, d;
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slong v;
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fmpz_init_set_ui(p, n_randtest_prime(state, 0));
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N = n_randint(state, PADIC_TEST_PREC_MAX - PADIC_TEST_PREC_MIN)
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+ PADIC_TEST_PREC_MIN;
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padic_ctx_init(ctx, p, FLINT_MAX(0, N-10), FLINT_MAX(0, N+10), PADIC_SERIES);
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padic_init2(a, N);
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padic_init2(b, N);
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padic_init2(d, N);
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padic_randtest_not_zero(a, state, ctx);
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v = padic_val(a);
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if (-v < N) /* Otherwise, no precision left */
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{
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slong N2 = N - FLINT_ABS(v);
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padic_prec(d) = N2;
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padic_inv(b, a, ctx);
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padic_mul(d, a, b, ctx);
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result = (padic_is_one(d));
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if (!result)
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{
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flint_printf("FAIL (a * a^{-1} == 1):\n\n");
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flint_printf("a = "), padic_print(a, ctx), flint_printf("\n");
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flint_printf("b = "), padic_print(b, ctx), flint_printf("\n");
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flint_printf("d = "), padic_print(d, ctx), flint_printf("\n");
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abort();
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}
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}
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padic_clear(a);
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padic_clear(b);
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padic_clear(d);
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fmpz_clear(p);
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padic_ctx_clear(ctx);
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}
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/* PRIME p > 2 ***************************************************************/
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/* Check aliasing: a = a^{-1} (mod p^N) */
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for (i = 0; i < 1000; i++)
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{
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fmpz_t p;
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slong N;
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padic_ctx_t ctx;
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padic_t a, d;
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fmpz_init_set_ui(p, n_randtest_prime(state, 0));
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N = n_randint(state, PADIC_TEST_PREC_MAX - PADIC_TEST_PREC_MIN)
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+ PADIC_TEST_PREC_MIN;
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padic_ctx_init(ctx, p, FLINT_MAX(0, N-10), FLINT_MAX(0, N+10), PADIC_SERIES);
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padic_init2(a, N);
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padic_init2(d, N);
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padic_randtest_not_zero(a, state, ctx);
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padic_inv(d, a, ctx);
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padic_inv(a, a, ctx);
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result = (padic_equal(a, d));
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if (!result)
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{
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flint_printf("FAIL (aliasing):\n\n");
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flint_printf("a = "), padic_print(a, ctx), flint_printf("\n");
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flint_printf("d = "), padic_print(d, ctx), flint_printf("\n");
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abort();
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}
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padic_clear(a);
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padic_clear(d);
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fmpz_clear(p);
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padic_ctx_clear(ctx);
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}
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/* Check that correct only mod p^{N} */
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for (i = 0; i < 1000; i++)
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{
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fmpz_t p;
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slong N;
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padic_ctx_t ctx;
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padic_t a, b, d;
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slong v;
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fmpz_init_set_ui(p, n_randtest_prime(state, 0));
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N = n_randint(state, PADIC_TEST_PREC_MAX - PADIC_TEST_PREC_MIN)
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+ PADIC_TEST_PREC_MIN;
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padic_ctx_init(ctx, p, FLINT_MAX(0, N-10), FLINT_MAX(0, N+10), PADIC_SERIES);
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padic_init2(a, N);
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padic_init2(b, N);
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padic_init2(d, N);
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padic_randtest_not_zero(a, state, ctx);
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v = padic_val(a);
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if (-v < N) /* Otherwise, no precision left */
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{
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slong N2 = N - FLINT_ABS(v);
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padic_prec(d) = N2;
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padic_inv(b, a, ctx);
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padic_mul(d, a, b, ctx);
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result = (padic_is_one(d));
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if (!result)
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{
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flint_printf("FAIL (a * a^{-1} == 1):\n\n");
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flint_printf("a = "), padic_print(a, ctx), flint_printf("\n");
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flint_printf("b = "), padic_print(b, ctx), flint_printf("\n");
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flint_printf("d = "), padic_print(d, ctx), flint_printf("\n");
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abort();
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}
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}
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padic_clear(a);
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padic_clear(b);
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padic_clear(d);
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fmpz_clear(p);
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padic_ctx_clear(ctx);
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}
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FLINT_TEST_CLEANUP(state);
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flint_printf("PASS\n");
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return EXIT_SUCCESS;
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}
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