77 lines
2.1 KiB
C
77 lines
2.1 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 Fredrik Johansson
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******************************************************************************/
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/*
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Demo FLINT program for generating Stirling number matrices
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and inverting them.
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*/
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#include <stdlib.h>
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#include <stdio.h>
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#include "flint.h"
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#include "fmpz.h"
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#include "fmpz_mat.h"
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#include "arith.h"
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int main(int argc, char* argv[])
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{
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slong n;
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fmpz_mat_t S1, S2, P;
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if (argc != 2)
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{
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flint_printf("Syntax: stirling_matrix <integer>\n");
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return EXIT_FAILURE;
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}
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n = atoi(argv[1]);
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fmpz_mat_init(S1, n, n);
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fmpz_mat_init(S2, n, n);
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fmpz_mat_init(P, n, n);
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arith_stirling_matrix_1(S1);
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arith_stirling_matrix_2(S2);
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fmpz_mat_mul(P, S1, S2);
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flint_printf("S1 [Stirling numbers of 1st kind]:\n");
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fmpz_mat_print_pretty(S1);
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flint_printf("\n\n");
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flint_printf("S2 [Stirling numbers of 2nd kind]:\n");
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fmpz_mat_print_pretty(S2);
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flint_printf("\n\n");
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flint_printf("S1 * S2:\n");
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fmpz_mat_print_pretty(P);
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flint_printf("\n\n");
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fmpz_mat_clear(S1);
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fmpz_mat_clear(S2);
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fmpz_mat_clear(P);
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return EXIT_SUCCESS;
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}
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