161 lines
4.1 KiB
C
161 lines
4.1 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) 2011 Fredrik Johansson
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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 <mpfr.h>
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#include "flint.h"
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#include "fmpz.h"
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#include "fmpz_vec.h"
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#include "arith.h"
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#include "ulong_extras.h"
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/* Values mod 10^9 generated with Sage */
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static const ulong testdata[][2] =
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{
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{100000, 421098519},
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{100001, 33940350},
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{100002, 579731933},
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{100003, 625213730},
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{100004, 539454200},
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{100005, 69672418},
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{100006, 865684292},
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{100007, 641916724},
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{100008, 36737908},
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{100009, 293498270},
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{100010, 177812057},
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{100011, 756857293},
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{100012, 950821113},
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{100013, 824882014},
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{100014, 533894560},
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{100015, 660734788},
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{100016, 835912257},
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{100017, 302982816},
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{100018, 468609888},
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{100019, 221646940},
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{1000000, 104673818},
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{1000001, 980212296},
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{1000002, 709795681},
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{1000003, 530913758},
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{1000004, 955452980},
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{1000005, 384388683},
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{1000006, 138665072},
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{1000007, 144832602},
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{1000008, 182646067},
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{1000009, 659145045},
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{1000010, 17911162},
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{1000011, 606326324},
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{1000012, 99495156},
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{1000013, 314860251},
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{1000014, 497563335},
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{1000015, 726842109},
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{1000016, 301469541},
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{1000017, 227491620},
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{1000018, 704160927},
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{1000019, 995311980},
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{10000000, 677288980},
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{10000001, 433805210},
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{10000002, 365406948},
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{10000003, 120899894},
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{10000004, 272822040},
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{10000005, 71938624},
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{10000006, 637670808},
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{10000007, 766947591},
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{10000008, 980210244},
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{10000009, 965734705},
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{10000010, 187411691},
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{10000011, 485652153},
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{10000012, 825498761},
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{10000013, 895802660},
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{10000014, 152775845},
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{10000015, 791493402},
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{10000016, 299640598},
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{10000017, 383615481},
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{10000018, 378922331},
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{10000019, 37059200},
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{100000000, 836637702},
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{100000001, 66421565},
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{100000002, 747849093},
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{100000003, 465329748},
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{100000004, 166747980},
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{0, 0},
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};
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int main(void)
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{
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fmpz_t p;
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fmpz * v;
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slong i;
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FLINT_TEST_INIT(state);
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flint_printf("number_of_partitions....");
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fflush(stdout);
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fmpz_init(p);
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v = _fmpz_vec_init(3000);
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arith_number_of_partitions_vec(v, 3000);
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for (i = 0; i < 3000; i++)
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{
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arith_number_of_partitions(p, i);
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if (!fmpz_equal(p, v + i))
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{
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flint_printf("FAIL:\n");
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flint_printf("p(%wd) does not agree with power series\n", i);
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flint_printf("Computed p(%wd): ", i); fmpz_print(p); flint_printf("\n");
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flint_printf("Expected: "); fmpz_print(v + i); flint_printf("\n");
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abort();
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}
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}
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_fmpz_vec_clear(v, 3000);
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for (i = 0; testdata[i][0] != 0; i++)
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{
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arith_number_of_partitions(p, testdata[i][0]);
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if (fmpz_fdiv_ui(p, 1000000000) != testdata[i][1])
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{
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flint_printf("FAIL:\n");
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flint_printf("p(%wd) does not agree with known value mod 10^9\n",
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testdata[i][0]);
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flint_printf("Computed: %wu\n", fmpz_fdiv_ui(p, 1000000000));
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flint_printf("Expected: %wu\n", testdata[i][1]);
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abort();
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}
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}
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fmpz_clear(p);
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FLINT_TEST_CLEANUP(state);
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flint_printf("PASS\n");
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return 0;
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}
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