pqc/external/flint-2.4.3/arith/test/t-number_of_partitions.c
2014-05-24 23:16:06 +02:00

161 lines
4.1 KiB
C

/*=============================================================================
This file is part of FLINT.
FLINT is free software; you can redistribute it and/or modify
it under the terms of the GNU General Public License as published by
the Free Software Foundation; either version 2 of the License, or
(at your option) any later version.
FLINT is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
GNU General Public License for more details.
You should have received a copy of the GNU General Public License
along with FLINT; if not, write to the Free Software
Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA
=============================================================================*/
/******************************************************************************
Copyright (C) 2011 Fredrik Johansson
******************************************************************************/
#include <stdio.h>
#include <stdlib.h>
#include <gmp.h>
#include <mpfr.h>
#include "flint.h"
#include "fmpz.h"
#include "fmpz_vec.h"
#include "arith.h"
#include "ulong_extras.h"
/* Values mod 10^9 generated with Sage */
static const ulong testdata[][2] =
{
{100000, 421098519},
{100001, 33940350},
{100002, 579731933},
{100003, 625213730},
{100004, 539454200},
{100005, 69672418},
{100006, 865684292},
{100007, 641916724},
{100008, 36737908},
{100009, 293498270},
{100010, 177812057},
{100011, 756857293},
{100012, 950821113},
{100013, 824882014},
{100014, 533894560},
{100015, 660734788},
{100016, 835912257},
{100017, 302982816},
{100018, 468609888},
{100019, 221646940},
{1000000, 104673818},
{1000001, 980212296},
{1000002, 709795681},
{1000003, 530913758},
{1000004, 955452980},
{1000005, 384388683},
{1000006, 138665072},
{1000007, 144832602},
{1000008, 182646067},
{1000009, 659145045},
{1000010, 17911162},
{1000011, 606326324},
{1000012, 99495156},
{1000013, 314860251},
{1000014, 497563335},
{1000015, 726842109},
{1000016, 301469541},
{1000017, 227491620},
{1000018, 704160927},
{1000019, 995311980},
{10000000, 677288980},
{10000001, 433805210},
{10000002, 365406948},
{10000003, 120899894},
{10000004, 272822040},
{10000005, 71938624},
{10000006, 637670808},
{10000007, 766947591},
{10000008, 980210244},
{10000009, 965734705},
{10000010, 187411691},
{10000011, 485652153},
{10000012, 825498761},
{10000013, 895802660},
{10000014, 152775845},
{10000015, 791493402},
{10000016, 299640598},
{10000017, 383615481},
{10000018, 378922331},
{10000019, 37059200},
{100000000, 836637702},
{100000001, 66421565},
{100000002, 747849093},
{100000003, 465329748},
{100000004, 166747980},
{0, 0},
};
int main(void)
{
fmpz_t p;
fmpz * v;
slong i;
FLINT_TEST_INIT(state);
flint_printf("number_of_partitions....");
fflush(stdout);
fmpz_init(p);
v = _fmpz_vec_init(3000);
arith_number_of_partitions_vec(v, 3000);
for (i = 0; i < 3000; i++)
{
arith_number_of_partitions(p, i);
if (!fmpz_equal(p, v + i))
{
flint_printf("FAIL:\n");
flint_printf("p(%wd) does not agree with power series\n", i);
flint_printf("Computed p(%wd): ", i); fmpz_print(p); flint_printf("\n");
flint_printf("Expected: "); fmpz_print(v + i); flint_printf("\n");
abort();
}
}
_fmpz_vec_clear(v, 3000);
for (i = 0; testdata[i][0] != 0; i++)
{
arith_number_of_partitions(p, testdata[i][0]);
if (fmpz_fdiv_ui(p, 1000000000) != testdata[i][1])
{
flint_printf("FAIL:\n");
flint_printf("p(%wd) does not agree with known value mod 10^9\n",
testdata[i][0]);
flint_printf("Computed: %wu\n", fmpz_fdiv_ui(p, 1000000000));
flint_printf("Expected: %wu\n", testdata[i][1]);
abort();
}
}
fmpz_clear(p);
FLINT_TEST_CLEANUP(state);
flint_printf("PASS\n");
return 0;
}