161 lines
4.1 KiB
C
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;
|
|
}
|