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/*
Copyright (C) 2011 Sebastian Pancratz
This file is part of FLINT.
FLINT is free software: you can redistribute it and/or modify it under
the terms of the GNU Lesser General Public License (LGPL) as published
by the Free Software Foundation; either version 3 of the License, or
(at your option) any later version. See <https://www.gnu.org/licenses/>.
*/
/*
Demo FLINT program to demonstrate some use of the padic module.
*/
#include <stdlib.h>
#include <stdio.h>
#include <gmp.h>
#include <flint/flint.h>
#include <flint/padic.h>
int main(void)
{
fmpz_t p;
padic_ctx_t ctx;
char *str;
padic_t x, y;
flint_printf("Output:\n\n");
/* Case 1 */
flint_printf("Positive integer: x = 127 mod 7^10\n");
fmpz_init(p);
fmpz_set_ui(p, 7);
padic_ctx_init(ctx, p, 8, 12, PADIC_TERSE);
padic_init2(x, 10);
padic_set_ui(x, 127, ctx);
ctx->mode = PADIC_TERSE;
str = padic_get_str(NULL, x, ctx);
flint_printf("print: "), padic_print(x, ctx), flint_printf("\n");
flint_printf("get_str: %s\n", str);
flint_free(str);
ctx->mode = PADIC_SERIES;
str = padic_get_str(NULL, x, ctx);
flint_printf("print: "), padic_print(x, ctx), flint_printf("\n");
flint_printf("get_str: %s\n", str);
flint_free(str);
ctx->mode = PADIC_VAL_UNIT;
str = padic_get_str(NULL, x, ctx);
flint_printf("print: "), padic_print(x, ctx), flint_printf("\n");
flint_printf("get_str: %s\n", str);
flint_free(str);
padic_clear(x);
padic_ctx_clear(ctx);
fmpz_clear(p);
/* Case 2 */
flint_printf("Positive integer larger than p^N: x = 1057 mod 2^10\n");
fmpz_init(p);
fmpz_set_ui(p, 2);
padic_ctx_init(ctx, p, 10, 12, PADIC_TERSE);
padic_init2(x, 10);
padic_set_ui(x, 1057, ctx);
ctx->mode = PADIC_TERSE;
str = padic_get_str(NULL, x, ctx);
flint_printf("print: "), padic_print(x, ctx), flint_printf("\n");
flint_printf("get_str: %s\n", str);
flint_free(str);
ctx->mode = PADIC_SERIES;
str = padic_get_str(NULL, x, ctx);
flint_printf("print: "), padic_print(x, ctx), flint_printf("\n");
flint_printf("get_str: %s\n", str);
flint_free(str);
ctx->mode = PADIC_VAL_UNIT;
str = padic_get_str(NULL, x, ctx);
flint_printf("print: "), padic_print(x, ctx), flint_printf("\n");
flint_printf("get_str: %s\n", str);
flint_free(str);
padic_clear(x);
padic_ctx_clear(ctx);
fmpz_clear(p);
/* Case 3 */
flint_printf("Negative integer: x = -127 mod 3^10\n");
fmpz_init(p);
fmpz_set_ui(p, 3);
padic_ctx_init(ctx, p, 10, 12, PADIC_TERSE);
padic_init2(x, 10);
padic_set_si(x, -127, ctx);
ctx->mode = PADIC_TERSE;
str = padic_get_str(NULL, x, ctx);
flint_printf("print: "), padic_print(x, ctx), flint_printf("\n");
flint_printf("get_str: %s\n", str);
flint_free(str);
ctx->mode = PADIC_VAL_UNIT;
str = padic_get_str(NULL, x, ctx);
flint_printf("print: "), padic_print(x, ctx), flint_printf("\n");
flint_printf("get_str: %s\n", str);
flint_free(str);
padic_clear(x);
padic_ctx_clear(ctx);
fmpz_clear(p);
/* Log */
flint_printf("Log of 7380996 mod 5^20\n");
fmpz_init(p);
fmpz_set_ui(p, 5);
padic_ctx_init(ctx, p, 10, 25, PADIC_SERIES);
padic_init(x);
padic_init(y);
padic_set_ui(x, 7380996, ctx);
padic_log(y, x, ctx);
flint_printf("x = "), padic_print(x, ctx), flint_printf("\n");
flint_printf("y = "), padic_print(y, ctx), flint_printf("\n");
padic_clear(x);
padic_clear(y);
padic_ctx_clear(ctx);
fmpz_clear(p);
return 0;
}
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