165 lines
4.3 KiB
C
165 lines
4.3 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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/*
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Demo FLINT program to demonstrate some use of the padic module.
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*/
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#include <stdlib.h>
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#include <stdio.h>
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#include <gmp.h>
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#include "flint.h"
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#include "padic.h"
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int main(void)
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{
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fmpz_t p;
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padic_ctx_t ctx;
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char *str;
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padic_t x, y;
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flint_printf("Output:\n\n");
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/* Case 1 */
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flint_printf("Positive integer: x = 127 mod 7^10\n");
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fmpz_init(p);
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fmpz_set_ui(p, 7);
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padic_ctx_init(ctx, p, 8, 12, PADIC_TERSE);
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padic_init2(x, 10);
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padic_set_ui(x, 127, ctx);
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ctx->mode = PADIC_TERSE;
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str = padic_get_str(NULL, x, ctx);
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flint_printf("print: "), padic_print(x, ctx), flint_printf("\n");
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flint_printf("get_str: %s\n", str);
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flint_free(str);
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ctx->mode = PADIC_SERIES;
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str = padic_get_str(NULL, x, ctx);
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flint_printf("print: "), padic_print(x, ctx), flint_printf("\n");
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flint_printf("get_str: %s\n", str);
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flint_free(str);
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ctx->mode = PADIC_VAL_UNIT;
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str = padic_get_str(NULL, x, ctx);
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flint_printf("print: "), padic_print(x, ctx), flint_printf("\n");
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flint_printf("get_str: %s\n", str);
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flint_free(str);
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padic_clear(x);
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padic_ctx_clear(ctx);
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fmpz_clear(p);
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/* Case 2 */
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flint_printf("Positive integer larger than p^N: x = 1057 mod 2^10\n");
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fmpz_init(p);
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fmpz_set_ui(p, 2);
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padic_ctx_init(ctx, p, 10, 12, PADIC_TERSE);
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padic_init2(x, 10);
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padic_set_ui(x, 1057, ctx);
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ctx->mode = PADIC_TERSE;
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str = padic_get_str(NULL, x, ctx);
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flint_printf("print: "), padic_print(x, ctx), flint_printf("\n");
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flint_printf("get_str: %s\n", str);
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flint_free(str);
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ctx->mode = PADIC_SERIES;
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str = padic_get_str(NULL, x, ctx);
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flint_printf("print: "), padic_print(x, ctx), flint_printf("\n");
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flint_printf("get_str: %s\n", str);
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flint_free(str);
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ctx->mode = PADIC_VAL_UNIT;
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str = padic_get_str(NULL, x, ctx);
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flint_printf("print: "), padic_print(x, ctx), flint_printf("\n");
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flint_printf("get_str: %s\n", str);
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flint_free(str);
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padic_clear(x);
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padic_ctx_clear(ctx);
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fmpz_clear(p);
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/* Case 3 */
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flint_printf("Negative integer: x = -127 mod 3^10\n");
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fmpz_init(p);
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fmpz_set_ui(p, 3);
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padic_ctx_init(ctx, p, 10, 12, PADIC_TERSE);
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padic_init2(x, 10);
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padic_set_si(x, -127, ctx);
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ctx->mode = PADIC_TERSE;
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str = padic_get_str(NULL, x, ctx);
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flint_printf("print: "), padic_print(x, ctx), flint_printf("\n");
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flint_printf("get_str: %s\n", str);
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flint_free(str);
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ctx->mode = PADIC_VAL_UNIT;
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str = padic_get_str(NULL, x, ctx);
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flint_printf("print: "), padic_print(x, ctx), flint_printf("\n");
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flint_printf("get_str: %s\n", str);
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flint_free(str);
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padic_clear(x);
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padic_ctx_clear(ctx);
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fmpz_clear(p);
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/* Log */
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flint_printf("Log of 7380996 mod 5^20\n");
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fmpz_init(p);
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fmpz_set_ui(p, 5);
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padic_ctx_init(ctx, p, 10, 25, PADIC_SERIES);
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padic_init(x);
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padic_init(y);
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padic_set_ui(x, 7380996, ctx);
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padic_log(y, x, ctx);
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flint_printf("x = "), padic_print(x, ctx), flint_printf("\n");
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flint_printf("y = "), padic_print(y, ctx), flint_printf("\n");
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padic_clear(x);
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padic_clear(y);
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padic_ctx_clear(ctx);
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fmpz_clear(p);
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return EXIT_SUCCESS;
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}
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