114 lines
3.3 KiB
C
114 lines
3.3 KiB
C
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/*=============================================================================
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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) 2012 Sebastian Pancratz
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******************************************************************************/
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#include <stdio.h>
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#include "qadic.h"
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#include "ulong_extras.h"
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#include "long_extras.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("norm_analytic... ");
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fflush(stdout);
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/* Compare with product of Galois conjugates */
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for (i = 0; i < 2000; i++)
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{
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fmpz_t p;
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slong d, N;
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qadic_ctx_t ctx;
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qadic_t a, b, c;
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padic_t x, y;
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slong j;
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int ans;
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fmpz_init_set_ui(p, n_randprime(state, 2 + n_randint(state, 3), 1));
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d = n_randint(state, 10) + 1;
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N = z_randint(state, 50) + 1;
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qadic_ctx_init_conway(ctx, p, d, FLINT_MAX(0,N-10), FLINT_MAX(0,N+10), "a", PADIC_SERIES);
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qadic_init2(a, N);
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qadic_init2(b, N);
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qadic_init2(c, N);
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padic_init2(x, N);
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padic_init2(y, N);
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qadic_randtest_val(a, state, fmpz_cmp_ui(p, 2) == 0 ? 2 : 1, ctx);
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qadic_reduce(a, ctx);
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qadic_one(b);
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qadic_add(a, a, b, ctx);
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qadic_norm_analytic(x, a, ctx);
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qadic_one(b);
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for (j = 0; j < d; j++)
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{
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qadic_frobenius(c, a, j, ctx);
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qadic_mul(b, b, c, ctx);
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}
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ans = qadic_get_padic(y, b, ctx);
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result = (ans && padic_equal(x, y));
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if (!result)
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{
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flint_printf("FAIL:\n\n");
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flint_printf("a = "), qadic_print_pretty(a, ctx), flint_printf("\n");
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flint_printf("b = "), qadic_print_pretty(b, ctx), flint_printf("\n");
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flint_printf("x = "), padic_print(x, &ctx->pctx), flint_printf("\n");
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flint_printf("y = "), padic_print(y, &ctx->pctx), flint_printf("\n");
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for (j = 0; j < d; j++)
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{
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qadic_frobenius(c, a, j, ctx);
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flint_printf("sigma^%wd = ", j), qadic_print_pretty(c, ctx), flint_printf("\n");
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}
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flint_printf("ans = %d\n", ans);
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abort();
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}
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qadic_clear(a);
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qadic_clear(b);
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qadic_clear(c);
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padic_clear(x);
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padic_clear(y);
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fmpz_clear(p);
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qadic_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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