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F_mpz_mat-test.c
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F_mpz_mat-test.c
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/*============================================================================
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
===============================================================================*/
/****************************************************************************
F_mpz_mat-test.c: Test code for F_mpz_mat.c and F_mpz_mat.h
Copyright (C) 2008, 2009, 2010 William Hart
Copyright (C) 2009, 2010 Andy Novocin
*****************************************************************************/
#include <stdio.h>
#include <string.h>
#include <gmp.h>
#include <mpfr.h>
#include <time.h>
#include "flint.h"
#include "long_extras.h"
#include "d_mat.h"
#include "mpz_mat.h"
#include "F_mpz_mat.h"
#include "mpfr_mat.h"
#include "memory-manager.h"
#include "test-support.h"
#define VARY_BITS 1 // random entries have random number of bits up to the limit given
#define SIGNS 1 // random entries will be randomly signed
#define SPARSE 1 // matrices are sparse (triggers more corner cases)
#define ITER 1 // if you want all tests to run longer, increase this
#define TESTFILE 0 // Set this to test matrix reading and writing to a file in the current dir
#define DEBUG 0 // allows easy switching of debugging code on and off when debugging (if inserted)
#define DEBUG2 1
void F_mpz_test_random(F_mpz_t f, ulong bits)
{
if (bits == 0)
{
F_mpz_zero(f);
return;
}
mpz_t temp;
mpz_init(temp);
mpz_rrandomb(temp, randstate, bits);
#if SIGNS
if (z_randint(2)) mpz_neg(temp, temp);
#endif
F_mpz_set_mpz(f, temp);
mpz_clear(temp);
}
// generate a random mpz_mat_t with the given number of rows and columns and number of bits per entry
void mpz_randmat(mpz_mat_t mat, ulong r, ulong c, ulong maxbits)
{
ulong bits;
mpz_t temp;
mpz_init(temp);
long i;
for (i = 0; i < r; i++)
{
long j;
for (j = 0; j < c; j++)
{
#if VARY_BITS
bits = z_randint(maxbits+1);
#else
bits = maxbits;
#endif
if (bits == 0) mpz_set_ui(temp, 0);
else
{
#if SPARSE
if (z_randint(10) == 1) mpz_rrandomb(temp, randstate, bits);
else mpz_set_ui(temp, 0);
#else
mpz_rrandomb(temp, randstate, bits);
#endif
#if SIGNS
if (z_randint(2)) mpz_neg(temp, temp);
#endif
}
mpz_set(mat->entries[i*c+j], temp);
}
}
mpz_clear(temp);
}
// generate a dense random mpz_mat_t with up to the given length and number of bits per entry
void mpz_randmat_dense(mpz_mat_t mat, ulong r, ulong c, ulong maxbits)
{
ulong bits;
mpz_t temp;
mpz_init(temp);
long i;
for (i = 0; i < r; i++)
{
long j;
for (j = 0; j < c; j++)
{
#if VARY_BITS
bits = z_randint(maxbits+1);
#else
bits = maxbits;
#endif
if (bits == 0) mpz_set_ui(temp, 0);
else
{
mpz_rrandomb(temp, randstate, bits);
#if SIGNS
if (z_randint(2)) mpz_neg(temp, temp);
#endif
}
mpz_set(mat->entries[i*c+j], temp);
}
}
mpz_clear(temp);
}
// same as for mpz_randmat above, except it creates an F_mpz_mat
// WARNING: do not use for testing of conversion between the two formats
void F_mpz_randmat(F_mpz_mat_t mat, ulong r, ulong c, ulong bits)
{
mpz_mat_t m_mat;
mpz_mat_init(m_mat, r, c);
mpz_randmat(m_mat, r, c, bits);
mpz_mat_to_F_mpz_mat(mat, m_mat);
mpz_mat_clear(m_mat);
}
int test__F_mpz_vec_init_clear()
{
F_mpz * vec;
int result = 1;
ulong bits, c;
ulong count1;
for (count1 = 0; (count1 < 20000) && (result == 1) ; count1++)
{
ulong i;
bits = z_randint(200)+ 1;
c = z_randint(30)+1;
vec = _F_mpz_vec_init(c);
for (i = 0; i < c; i++)
F_mpz_test_random(vec + i, bits);
_F_mpz_vec_clear(vec, c);
}
return result;
}
int test__F_mpz_vec_copy_equal()
{
F_mpz * vec1, * vec2;
int result = 1;
ulong bits, c, c1;
ulong count1;
for (count1 = 0; (count1 < 20000) && (result == 1) ; count1++)
{
ulong i;
bits = z_randint(200) + 1;
c = z_randint(30) + 1;
vec1 = _F_mpz_vec_init(c);
vec2 = _F_mpz_vec_init(c);
for (i = 0; i < c; i++)
F_mpz_test_random(vec1 + i, bits);
_F_mpz_vec_copy(vec2, vec1, c);
result = _F_mpz_vec_equal(vec1, vec2, c);
_F_mpz_vec_clear(vec1, c);
_F_mpz_vec_clear(vec2, c);
}
for (count1 = 0; (count1 < 20000) && (result == 1) ; count1++)
{
ulong i;
bits = z_randint(200) + 1;
c = z_randint(30) + 1;
vec1 = _F_mpz_vec_init(c);
vec2 = _F_mpz_vec_init(c);
for (i = 0; i < c; i++)
F_mpz_test_random(vec1 + i, bits);
_F_mpz_vec_copy(vec2, vec1, c);
c1 = z_randint(c);
F_mpz_add_ui(vec2 + c1, vec2 + c1, 1);
result = (!_F_mpz_vec_equal(vec1, vec2, c));
_F_mpz_vec_clear(vec1, c);
_F_mpz_vec_clear(vec2, c);
}
return result;
}
int test_F_mpz_mat_swap_rows()
{
F_mpz_mat_t F_mat;
F_mpz * vec;
int result = 1;
ulong bits, r, c, r1, r2;
F_mpz_t mult;
F_mpz_init(mult);
ulong count1;
for (count1 = 0; (count1 < 20000) && (result == 1) ; count1++)
{
bits = z_randint(200) + 1;
r = z_randint(30) + 1;
c = z_randint(30) + 1;
r1 = z_randint(r);
r2 = z_randint(r);
F_mpz_mat_init(F_mat, r, c);
F_mpz_randmat(F_mat, r, c, bits);
vec = _F_mpz_vec_init(c);
_F_mpz_vec_copy(vec, F_mat->rows[r2], c);
F_mpz_mat_swap_rows(F_mat, r1, r2);
ulong i;
for (i = 0; i < c; i++)
{
result &= (F_mpz_cmp(vec + i, F_mat->rows[r1] + i) == 0);
if (!result)
{
printf("Error: r = %ld, c = %ld, bits = %ld\n", r, c, bits);
F_mpz_print(vec + i);
F_mpz_print(F_mat->rows[r1] + i);
break;
}
}
_F_mpz_vec_clear(vec, c);
F_mpz_mat_clear(F_mat);
}
// alias rows
for (count1 = 0; (count1 < 20000) && (result == 1) ; count1++)
{
bits = z_randint(200) + 1;
r = z_randint(30) + 1;
c = z_randint(30) + 1;
r1 = z_randint(r);
F_mpz_mat_init(F_mat, r, c);
F_mpz_randmat(F_mat, r, c, bits);
vec = _F_mpz_vec_init(c);
_F_mpz_vec_copy(vec, F_mat->rows[r1], c);
F_mpz_mat_swap_rows(F_mat, r1, r1);
ulong i;
for (i = 0; i < c; i++)
{
result &= (F_mpz_cmp(vec + i, F_mat->rows[r1] + i) == 0);
if (!result)
{
printf("Error: r = %ld, c = %ld, bits = %ld\n", r, c, bits);
F_mpz_print(vec + i);
F_mpz_print(F_mat->rows[r1] + i);
break;
}
}
_F_mpz_vec_clear(vec, c);
F_mpz_mat_clear(F_mat);
}
return result;
}
int test_F_mpz_mat_convert()
{
mpz_mat_t m_mat1, m_mat2;
F_mpz_mat_t F_mat;
int result = 1;
ulong bits, r, c;
ulong count1;
for (count1 = 0; (count1 < 10000*ITER) && (result == 1) ; count1++)
{
r = z_randint(30);
c = z_randint(30);
F_mpz_mat_init(F_mat, r, c);
mpz_mat_init(m_mat1, r, c);
mpz_mat_init(m_mat2, r, c);
bits = z_randint(200) + 1;
mpz_randmat(m_mat1, r, c, bits);
mpz_mat_to_F_mpz_mat(F_mat, m_mat1);
F_mpz_mat_to_mpz_mat(m_mat2, F_mat);
result = mpz_mat_equal(m_mat1, m_mat2);
if (!result)
{
printf("Error: bits = %ld, r = %ld, c = %ld\n", bits, r, c);
}
F_mpz_mat_clear(F_mat);
mpz_mat_clear(m_mat1);
mpz_mat_clear(m_mat2);
}
return result;
}
int test_F_mpz_mat_max_bits()
{
F_mpz_mat_t F_mat;
int result = 1;
ulong bits1, bits2, bits3, row, col;
ulong count1;
for (count1 = 0; (count1 < 2000*ITER) && (result == 1) ; count1++)
{
ulong r = z_randint(30) + 1;
ulong c = z_randint(30) + 1;
F_mpz_mat_init(F_mat, r, c);
bits1 = z_randint(200) + 1;
F_mpz_randmat(F_mat, r, c, bits1);
bits2 = F_mpz_mat_max_bits(F_mat);
bits3 = F_mpz_mat_max_bits2(&row, &col, F_mat);
result = ((bits2 == bits3) && (FLINT_ABS(bits2) <= bits1)
&& (F_mpz_bits(F_mat->rows[row] + col) == FLINT_ABS(bits3)));
if (!result)
{
printf("Error: r = %ld, bits1 = %ld, c = %ld, bits2 = %ld, bits3 = %ld\n", r, bits1, c, bits2, bits3);
printf("row = %ld, col = %ld\n", row, col);
F_mpz_print(F_mat->rows[row] + col); printf("\n");
}
F_mpz_mat_clear(F_mat);
}
return result;
}
int test_F_mpz_mat_add()
{
mpz_mat_t m_mat1, m_mat2, res1, res2;
F_mpz_mat_t F_mat1, F_mat2, res;
int result = 1;
ulong bits1, bits2, length1, length2;
ulong count1;
for (count1 = 0; (count1 < 2000*ITER) && (result == 1) ; count1++)
{
ulong r = z_randint(30);
ulong c = z_randint(30);
F_mpz_mat_init(F_mat1, r, c);
F_mpz_mat_init(F_mat2, r, c);
F_mpz_mat_init(res, r, c);
mpz_mat_init(m_mat1, r, c);
mpz_mat_init(m_mat2, r, c);
mpz_mat_init(res1, r, c);
mpz_mat_init(res2, r, c);
bits1 = z_randint(200) + 1;
bits2 = z_randint(200) + 1;
mpz_randmat(m_mat1, r, c, bits1);
mpz_randmat(m_mat2, r, c, bits2);
mpz_mat_to_F_mpz_mat(F_mat1, m_mat1);
mpz_mat_to_F_mpz_mat(F_mat2, m_mat2);
F_mpz_mat_add(res, F_mat1, F_mat2);
F_mpz_mat_to_mpz_mat(res2, res);
mpz_mat_add(res1, m_mat1, m_mat2);
result = mpz_mat_equal(res1, res2);
if (!result)
{
printf("Error: length1 = %ld, bits1 = %ld, length2 = %ld, bits2 = %ld\n", length1, bits1, length2, bits2);
}
F_mpz_mat_clear(F_mat1);
F_mpz_mat_clear(F_mat2);
F_mpz_mat_clear(res);
mpz_mat_clear(m_mat1);
mpz_mat_clear(m_mat2);
mpz_mat_clear(res1);
mpz_mat_clear(res2);
}
// test aliasing of res and mat1
for (count1 = 0; (count1 < 2000*ITER) && (result == 1) ; count1++)
{
ulong r = z_randint(30);
ulong c = z_randint(30);
F_mpz_mat_init(F_mat1, r, c);
F_mpz_mat_init(F_mat2, r, c);
mpz_mat_init(m_mat1, r, c);
mpz_mat_init(m_mat2, r, c);
mpz_mat_init(res1, r, c);
mpz_mat_init(res2, r, c);
bits1 = z_randint(200) + 1;
bits2 = z_randint(200) + 1;
mpz_randmat(m_mat1, r, c, bits1);
mpz_randmat(m_mat2, r, c, bits2);
mpz_mat_to_F_mpz_mat(F_mat1, m_mat1);
mpz_mat_to_F_mpz_mat(F_mat2, m_mat2);
F_mpz_mat_add(F_mat1, F_mat1, F_mat2);
F_mpz_mat_to_mpz_mat(res2, F_mat1);
mpz_mat_add(res1, m_mat1, m_mat2);
result = mpz_mat_equal(res1, res2);
if (!result)
{
printf("Error: length1 = %ld, bits1 = %ld, length2 = %ld, bits2 = %ld\n", length1, bits1, length2, bits2);
}
F_mpz_mat_clear(F_mat1);
F_mpz_mat_clear(F_mat2);
mpz_mat_clear(m_mat1);
mpz_mat_clear(m_mat2);
mpz_mat_clear(res1);
mpz_mat_clear(res2);
}
// test aliasing of res and mat2
for (count1 = 0; (count1 < 2000*ITER) && (result == 1) ; count1++)
{
ulong r = z_randint(30);
ulong c = z_randint(30);
F_mpz_mat_init(F_mat1, r, c);
F_mpz_mat_init(F_mat2, r, c);
mpz_mat_init(m_mat1, r, c);
mpz_mat_init(m_mat2, r, c);
mpz_mat_init(res1, r, c);
mpz_mat_init(res2, r, c);
bits1 = z_randint(200) + 1;
bits2 = z_randint(200) + 1;
mpz_randmat(m_mat1, r, c, bits1);
mpz_randmat(m_mat2, r, c, bits2);
mpz_mat_to_F_mpz_mat(F_mat1, m_mat1);
mpz_mat_to_F_mpz_mat(F_mat2, m_mat2);
F_mpz_mat_add(F_mat2, F_mat1, F_mat2);
F_mpz_mat_to_mpz_mat(res2, F_mat2);
mpz_mat_add(res1, m_mat1, m_mat2);
result = mpz_mat_equal(res1, res2);
if (!result)
{
printf("Error: length1 = %ld, bits1 = %ld, length2 = %ld, bits2 = %ld\n", length1, bits1, length2, bits2);
}
F_mpz_mat_clear(F_mat1);
F_mpz_mat_clear(F_mat2);
mpz_mat_clear(m_mat1);
mpz_mat_clear(m_mat2);
mpz_mat_clear(res1);
mpz_mat_clear(res2);
}
return result;
}
int test_F_mpz_mat_sub()
{
mpz_mat_t m_mat1, m_mat2, res1, res2;
F_mpz_mat_t F_mat1, F_mat2, res;
int result = 1;
ulong bits1, bits2, length1, length2;
ulong count1;
for (count1 = 0; (count1 < 2000*ITER) && (result == 1) ; count1++)
{
ulong r = z_randint(30);
ulong c = z_randint(30);
F_mpz_mat_init(F_mat1, r, c);
F_mpz_mat_init(F_mat2, r, c);
F_mpz_mat_init(res, r, c);
mpz_mat_init(m_mat1, r, c);
mpz_mat_init(m_mat2, r, c);
mpz_mat_init(res1, r, c);
mpz_mat_init(res2, r, c);
bits1 = z_randint(200) + 1;
bits2 = z_randint(200) + 1;
mpz_randmat(m_mat1, r, c, bits1);
mpz_randmat(m_mat2, r, c, bits2);
mpz_mat_to_F_mpz_mat(F_mat1, m_mat1);
mpz_mat_to_F_mpz_mat(F_mat2, m_mat2);
F_mpz_mat_sub(res, F_mat1, F_mat2);
F_mpz_mat_to_mpz_mat(res2, res);
mpz_mat_sub(res1, m_mat1, m_mat2);
result = mpz_mat_equal(res1, res2);
if (!result)
{
printf("Error: length1 = %ld, bits1 = %ld, length2 = %ld, bits2 = %ld\n", length1, bits1, length2, bits2);
}
F_mpz_mat_clear(F_mat1);
F_mpz_mat_clear(F_mat2);
F_mpz_mat_clear(res);
mpz_mat_clear(m_mat1);
mpz_mat_clear(m_mat2);
mpz_mat_clear(res1);
mpz_mat_clear(res2);
}
// test aliasing of res and mat1
for (count1 = 0; (count1 < 2000*ITER) && (result == 1) ; count1++)
{
ulong r = z_randint(30);
ulong c = z_randint(30);
F_mpz_mat_init(F_mat1, r, c);
F_mpz_mat_init(F_mat2, r, c);
mpz_mat_init(m_mat1, r, c);
mpz_mat_init(m_mat2, r, c);
mpz_mat_init(res1, r, c);
mpz_mat_init(res2, r, c);
bits1 = z_randint(200) + 1;
bits2 = z_randint(200) + 1;
mpz_randmat(m_mat1, r, c, bits1);
mpz_randmat(m_mat2, r, c, bits2);
mpz_mat_to_F_mpz_mat(F_mat1, m_mat1);
mpz_mat_to_F_mpz_mat(F_mat2, m_mat2);
F_mpz_mat_sub(F_mat1, F_mat1, F_mat2);
F_mpz_mat_to_mpz_mat(res2, F_mat1);
mpz_mat_sub(res1, m_mat1, m_mat2);
result = mpz_mat_equal(res1, res2);
if (!result)
{
printf("Error: length1 = %ld, bits1 = %ld, length2 = %ld, bits2 = %ld\n", length1, bits1, length2, bits2);
}
F_mpz_mat_clear(F_mat1);
F_mpz_mat_clear(F_mat2);
mpz_mat_clear(m_mat1);
mpz_mat_clear(m_mat2);
mpz_mat_clear(res1);
mpz_mat_clear(res2);
}
// test aliasing of res and mat2
for (count1 = 0; (count1 < 2000*ITER) && (result == 1) ; count1++)
{
ulong r = z_randint(30);
ulong c = z_randint(30);
F_mpz_mat_init(F_mat1, r, c);
F_mpz_mat_init(F_mat2, r, c);
mpz_mat_init(m_mat1, r, c);
mpz_mat_init(m_mat2, r, c);
mpz_mat_init(res1, r, c);
mpz_mat_init(res2, r, c);
bits1 = z_randint(200) + 1;
bits2 = z_randint(200) + 1;
mpz_randmat(m_mat1, r, c, bits1);
mpz_randmat(m_mat2, r, c, bits2);
mpz_mat_to_F_mpz_mat(F_mat1, m_mat1);
mpz_mat_to_F_mpz_mat(F_mat2, m_mat2);
F_mpz_mat_sub(F_mat2, F_mat1, F_mat2);
F_mpz_mat_to_mpz_mat(res2, F_mat2);
mpz_mat_sub(res1, m_mat1, m_mat2);
result = mpz_mat_equal(res1, res2);
if (!result)
{
printf("Error: length1 = %ld, bits1 = %ld, length2 = %ld, bits2 = %ld\n", length1, bits1, length2, bits2);
}
F_mpz_mat_clear(F_mat1);
F_mpz_mat_clear(F_mat2);
mpz_mat_clear(m_mat1);
mpz_mat_clear(m_mat2);
mpz_mat_clear(res1);
mpz_mat_clear(res2);
}
return result;
}
int test_F_mpz_mat_set()
{
mpz_mat_t m_mat1, m_mat2;
F_mpz_mat_t F_mat1, F_mat2;
int result = 1;
ulong bits, r, c;
ulong count1;
for (count1 = 0; (count1 < 10000*ITER) && (result == 1) ; count1++)
{
bits = z_randint(200) + 1;
r = z_randint(30);
c = z_randint(30);
F_mpz_mat_init(F_mat1, r, c);
F_mpz_mat_init(F_mat2, r, c);
mpz_mat_init(m_mat1, r, c);
mpz_mat_init(m_mat2, r, c);
mpz_randmat(m_mat1, r, c, bits);
mpz_mat_to_F_mpz_mat(F_mat1, m_mat1);
F_mpz_mat_set(F_mat2, F_mat1);
F_mpz_mat_to_mpz_mat(m_mat2, F_mat2);
result = mpz_mat_equal(m_mat1, m_mat2);
if (!result)
{
printf("Error: r = %ld, c = %ld, bits = %ld\n", r, c, bits);
}
F_mpz_mat_clear(F_mat1);
F_mpz_mat_clear(F_mat2);
mpz_mat_clear(m_mat1);
mpz_mat_clear(m_mat2);
}
// aliasing is trivial for set and doesn't need testing
return result;
}
int test_F_mpz_mat_mul_div_2exp()
{
F_mpz_mat_t F_mat1, F_mat2, F_mat3;
int result = 1;
ulong bits, exp, r, c;
ulong count1;
for (count1 = 0; (count1 < 10000*ITER) && (result == 1) ; count1++)
{
bits = z_randint(200) + 1;
exp = z_randint(200) + 1;
r = z_randint(30);
c = z_randint(30);
F_mpz_mat_init(F_mat1, r, c);
F_mpz_mat_init(F_mat2, r, c);
F_mpz_mat_init(F_mat3, r, c);
F_mpz_randmat(F_mat1, r, c, bits);
F_mpz_mat_mul_2exp(F_mat2, F_mat1, exp);
F_mpz_mat_div_2exp(F_mat3, F_mat2, exp);
result = (F_mpz_mat_equal(F_mat1, F_mat3)
&& ((FLINT_ABS(F_mpz_mat_max_bits(F_mat2)) == FLINT_ABS(F_mpz_mat_max_bits(F_mat1)) + exp)
|| (F_mpz_mat_max_bits(F_mat1) == 0)));
if (!result)
{
printf("Error: r = %ld, c = %ld, bits = %ld, exp = %ld\n", r, c, bits, exp);
printf("m1 bits = %ld, m2 bits = %ld\n", FLINT_ABS(F_mpz_mat_max_bits(F_mat1)), FLINT_ABS(F_mpz_mat_max_bits(F_mat2)));
}
F_mpz_mat_clear(F_mat1);
F_mpz_mat_clear(F_mat2);
F_mpz_mat_clear(F_mat3);
}
// aliasing
for (count1 = 0; (count1 < 10000*ITER) && (result == 1) ; count1++)
{
bits = z_randint(200) + 1;
exp = z_randint(200) + 1;
r = z_randint(30);
c = z_randint(30);
F_mpz_mat_init(F_mat1, r, c);
F_mpz_mat_init(F_mat2, r, c);
F_mpz_mat_init(F_mat3, r, c);
F_mpz_randmat(F_mat1, r, c, bits);
F_mpz_mat_mul_2exp(F_mat2, F_mat1, exp);
F_mpz_mat_div_2exp(F_mat3, F_mat2, exp);
F_mpz_mat_mul_2exp(F_mat1, F_mat1, exp);
F_mpz_mat_div_2exp(F_mat1, F_mat1, exp);
result = (F_mpz_mat_equal(F_mat1, F_mat3));
if (!result)
{
printf("Error: r = %ld, c = %ld, bits = %ld, exp = %ld\n", r, c, bits, exp);
}
F_mpz_mat_clear(F_mat1);
F_mpz_mat_clear(F_mat2);
F_mpz_mat_clear(F_mat3);
}
return result;
}
int test_F_mpz_mat_smod()
{
F_mpz_mat_t F_mat1, F_mat2, F_mat3;
F_mpz_t P, t1, t2;
int result = 1;
ulong bits, bits2, exp, r, c, i, j;
ulong count1;
for (count1 = 0; (count1 < 10000*ITER) && (result == 1) ; count1++)
{
bits = z_randint(200) + 1;
bits2 = z_randint(200) + 1;
r = z_randint(30);
c = z_randint(30);
F_mpz_init(P);
F_mpz_init(t1);
F_mpz_init(t2);
F_mpz_test_random(P, bits2);
F_mpz_abs(P, P);
if (F_mpz_is_zero(P))
F_mpz_set_ui(P, 1);
F_mpz_mat_init(F_mat1, r, c);
F_mpz_mat_init(F_mat2, r, c);
F_mpz_mat_init(F_mat3, r, c);
F_mpz_randmat(F_mat1, r, c, bits);
F_mpz_mat_set(F_mat3, F_mat1);
F_mpz_mat_smod(F_mat2, F_mat1, P);
for (i = 0; i < r; i++)
for (j = 0; j < c; j++)
{
F_mpz_mod(t1, F_mat3->rows[i] + j, P);
F_mpz_mod(t2, F_mat2->rows[i] + j, P);
result &= (F_mpz_cmp(t1, t2) == 0);
}
if (!result)
{
printf("Error: r = %ld, c = %ld, bits = %ld\n", r, c, bits);
}
F_mpz_clear(t1);
F_mpz_clear(t2);
F_mpz_clear(P);
F_mpz_mat_clear(F_mat1);
F_mpz_mat_clear(F_mat2);
F_mpz_mat_clear(F_mat3);
}
// aliasing
for (count1 = 0; (count1 < 10000*ITER) && (result == 1) ; count1++)
{
bits = z_randint(200) + 1;
bits2 = z_randint(200) + 1;
r = z_randint(30);
c = z_randint(30);
F_mpz_init(P);
F_mpz_mat_init(F_mat1, r, c);
F_mpz_mat_init(F_mat2, r, c);
F_mpz_test_random(P, bits2);
F_mpz_abs(P, P);
if (F_mpz_is_zero(P))
F_mpz_set_ui(P, 1);
F_mpz_randmat(F_mat1, r, c, bits);
F_mpz_mat_smod(F_mat2, F_mat1, P);
F_mpz_mat_smod(F_mat1, F_mat1, P);
result = (F_mpz_mat_equal(F_mat1, F_mat2));
if (!result)
{
printf("Error: r = %ld, c = %ld, bits = %ld\n", r, c, bits);
}
F_mpz_clear(P);
F_mpz_mat_clear(F_mat1);
F_mpz_mat_clear(F_mat2);
}
return result;
}
int test_F_mpz_mat_equal()
{
mpz_mat_t m_mat1, m_mat2;
F_mpz_mat_t F_mat1, F_mat2;
int result = 1;
ulong bits1, bits2, length1, length2;
// random mats unlikely to be equal, test against mpz_mat_equal
ulong count1;
for (count1 = 0; (count1 < 5000*ITER) && (result == 1); count1++)
{
ulong r = z_randint(30);
ulong c = z_randint(30);
F_mpz_mat_init(F_mat1, r, c);
F_mpz_mat_init(F_mat2, r, c);
mpz_mat_init(m_mat1, r, c);
mpz_mat_init(m_mat2, r, c);
bits1 = z_randint(200) + 1;
bits2 = z_randint(200) + 1;
mpz_randmat(m_mat1, r, c, bits1);
mpz_randmat(m_mat2, r, c, bits2);
mpz_mat_to_F_mpz_mat(F_mat1, m_mat1);
mpz_mat_to_F_mpz_mat(F_mat2, m_mat2);
result = (mpz_mat_equal(m_mat1, m_mat2) == F_mpz_mat_equal(F_mat1, F_mat2));
if (!result)
{
printf("Error: r = %ld, c = %ld, bits1 = %ld, bits2 = %ld\n", r, c, bits1, bits2);
}
F_mpz_mat_clear(F_mat1);
F_mpz_mat_clear(F_mat2);
mpz_mat_clear(m_mat1);
mpz_mat_clear(m_mat2);
}
// mats are equal
for (count1 = 0; (count1 < 5000*ITER) && (result == 1); count1++)
{
ulong r = z_randint(30);
ulong c = z_randint(30);
F_mpz_mat_init(F_mat1, r, c);
F_mpz_mat_init(F_mat2, r, c);
mpz_mat_init(m_mat1, r, c);
bits1 = z_randint(200) + 1;
mpz_randmat(m_mat1, r, c, bits1);
mpz_mat_to_F_mpz_mat(F_mat1, m_mat1);
F_mpz_mat_set(F_mat2, F_mat1);
result = (F_mpz_mat_equal(F_mat1, F_mat2));
if (!result)
{
printf("Error: r = %ld, c = %ld, bits = %ld\n", r, c, bits1);
}
F_mpz_mat_clear(F_mat1);
F_mpz_mat_clear(F_mat2);
mpz_mat_clear(m_mat1);
}
// mats are aliased
for (count1 = 0; (count1 < 5000*ITER) && (result == 1); count1++)
{
ulong r = z_randint(30);
ulong c = z_randint(30);
F_mpz_mat_init(F_mat1, r, c);
mpz_mat_init(m_mat1, r, c);
bits1 = z_randint(200) + 1;
mpz_randmat(m_mat1, r, c, bits1);
mpz_mat_to_F_mpz_mat(F_mat1, m_mat1);
result = (F_mpz_mat_equal(F_mat1, F_mat1));
if (!result)
{
printf("Error: length1 = %ld, bits1 = %ld\n", length1, bits1);
}
F_mpz_mat_clear(F_mat1);
mpz_mat_clear(m_mat1);
}
return result;
}
int test_F_mpz_mat_col_copy_equal()
{
F_mpz_mat_t F_mat;
int result = 1;
ulong bits;
// cols are equal
ulong count1;
for (count1 = 0; (count1 < 5000*ITER) && (result == 1); count1++)
{
ulong r = z_randint(30) + 1;
ulong c = z_randint(30) + 1;
ulong c1 = z_randint(c);
ulong c2 = z_randint(c);
F_mpz_mat_init(F_mat, r, c);
bits = z_randint(200) + 1;
F_mpz_randmat(F_mat, r, c, bits);
F_mpz_mat_col_copy(F_mat, c1, c2);
result = (F_mpz_mat_col_equal(F_mat, c1, c2));
if (!result)
{
printf("Error: r = %ld, c = %ld, bits = %ld\n", r, c, bits);
}
F_mpz_mat_clear(F_mat);
}
// cols are not equal
for (count1 = 0; (count1 < 5000*ITER) && (result == 1); count1++)
{
ulong r = z_randint(30) + 1;
ulong c = z_randint(30) + 1;
ulong c1 = z_randint(c);
ulong c2 = z_randint(c);
ulong rx = z_randint(r);
F_mpz_mat_init(F_mat, r, c);
bits = z_randint(200) + 1;
F_mpz_randmat(F_mat, r, c, bits);
F_mpz_mat_col_copy(F_mat, c1, c2);
F_mpz_add_ui(F_mat->rows[rx] + c1, F_mat->rows[rx] + c1, 1);
result = ((!F_mpz_mat_col_equal(F_mat, c1, c2)) || (c1 == c2));
if (!result)
{
printf("Error: r = %ld, c = %ld, bits = %ld\n", r, c, bits);
}
F_mpz_mat_clear(F_mat);