ALL: Add flint

This commit is contained in:
2014-05-19 00:03:37 +02:00
parent a15ef46ea6
commit d51d8e3652
3752 changed files with 446416 additions and 0 deletions

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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
=============================================================================*/
/******************************************************************************
Copyright (C) 2009 William Hart
******************************************************************************/
#include <stdio.h>
#include <stdlib.h>
#include <gmp.h>
#include "flint.h"
#include "nmod_vec.h"
#include "ulong_extras.h"
int
main(void)
{
int i, result;
FLINT_TEST_INIT(state);
flint_printf("add/sub/neg....");
fflush(stdout);
/* Check (a + b) - b == a */
for (i = 0; i < 10000; i++)
{
slong len = n_randint(state, 100) + 1;
nmod_t mod;
mp_limb_t n = n_randtest_not_zero(state);
mp_ptr vec = _nmod_vec_init(len);
mp_ptr vec2 = _nmod_vec_init(len);
mp_ptr vec3 = _nmod_vec_init(len);
nmod_init(&mod, n);
_nmod_vec_randtest(vec, state, len, mod);
_nmod_vec_randtest(vec2, state, len, mod);
_nmod_vec_add(vec3, vec, vec2, len, mod);
_nmod_vec_sub(vec3, vec3, vec2, len, mod);
result = _nmod_vec_equal(vec, vec3, len);
if (!result)
{
flint_printf("FAIL:\n");
flint_printf("len = %wd, n = %wd\n", len, n);
abort();
}
_nmod_vec_clear(vec);
_nmod_vec_clear(vec2);
_nmod_vec_clear(vec3);
}
/* Check (a + -b) == a - b */
for (i = 0; i < 10000; i++)
{
slong len = n_randint(state, 100) + 1;
mp_limb_t n = n_randtest_not_zero(state);
nmod_t mod;
mp_ptr vec = _nmod_vec_init(len);
mp_ptr vec2 = _nmod_vec_init(len);
mp_ptr vec3 = _nmod_vec_init(len);
nmod_init(&mod, n);
_nmod_vec_randtest(vec, state, len, mod);
_nmod_vec_randtest(vec2, state, len, mod);
_nmod_vec_sub(vec3, vec, vec2, len, mod);
_nmod_vec_neg(vec2, vec2, len, mod);
_nmod_vec_add(vec, vec, vec2, len, mod);
result = _nmod_vec_equal(vec, vec3, len);
if (!result)
{
flint_printf("FAIL:\n");
flint_printf("len = %wd, n = %wd\n", len, n);
abort();
}
_nmod_vec_clear(vec);
_nmod_vec_clear(vec2);
_nmod_vec_clear(vec3);
}
FLINT_TEST_CLEANUP(state);
flint_printf("PASS\n");
return 0;
}

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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
=============================================================================*/
/******************************************************************************
Copyright (C) 2011 Fredrik Johansson
******************************************************************************/
#include <stdio.h>
#include <stdlib.h>
#include <gmp.h>
#include "flint.h"
#include "nmod_vec.h"
#include "ulong_extras.h"
int
main(void)
{
int i;
FLINT_TEST_INIT(state);
flint_printf("dot....");
fflush(stdout);
for (i = 0; i < 10000; i++)
{
slong len;
nmod_t mod;
mp_limb_t m, res;
mp_ptr x, y;
int limbs1;
mpz_t s, t;
slong j;
len = n_randint(state, 1000) + 1;
m = n_randtest_not_zero(state);
nmod_init(&mod, m);
x = _nmod_vec_init(len);
y = _nmod_vec_init(len);
_nmod_vec_randtest(x, state, len, mod);
_nmod_vec_randtest(y, state, len, mod);
limbs1 = _nmod_vec_dot_bound_limbs(len, mod);
res = _nmod_vec_dot(x, y, len, mod, limbs1);
mpz_init(s);
mpz_init(t);
for (j = 0; j < len; j++)
{
flint_mpz_set_ui(t, x[j]);
flint_mpz_addmul_ui(s, t, y[j]);
}
flint_mpz_mod_ui(s, s, m);
if (flint_mpz_get_ui(s) != res)
{
flint_printf("FAIL:\n");
flint_printf("m = %wu\n", m);
flint_printf("len = %wd\n", len);
flint_printf("limbs1 = %d\n", limbs1);
abort();
}
mpz_clear(s);
mpz_clear(t);
_nmod_vec_clear(x);
_nmod_vec_clear(y);
}
FLINT_TEST_CLEANUP(state);
flint_printf("PASS\n");
return 0;
}

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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
=============================================================================*/
/******************************************************************************
Copyright (C) 2011 Fredrik Johansson
******************************************************************************/
#include <stdio.h>
#include <stdlib.h>
#include <gmp.h>
#include "flint.h"
#include "nmod_vec.h"
#include "ulong_extras.h"
int
main(void)
{
int i;
FLINT_TEST_INIT(state);
flint_printf("dot_bound_limbs....");
fflush(stdout);
for (i = 0; i < 1000000; i++)
{
slong len;
nmod_t mod;
mp_limb_t m;
int limbs1, limbs2;
mpz_t t;
len = n_randint(state, 10000) + 1;
m = n_randtest_not_zero(state);
nmod_init(&mod, m);
limbs1 = _nmod_vec_dot_bound_limbs(len, mod);
mpz_init2(t, 4*FLINT_BITS);
flint_mpz_set_ui(t, m-1);
mpz_mul(t, t, t);
flint_mpz_mul_ui(t, t, len);
limbs2 = mpz_size(t);
if (limbs1 != limbs2)
{
flint_printf("FAIL:\n");
flint_printf("m = %wu\n", m);
flint_printf("len = %wd\n", len);
flint_printf("limbs1 = %d\n", limbs1);
flint_printf("limbs2 = %d\n", limbs2);
gmp_printf("bound: %Zd\n", t);
abort();
}
mpz_clear(t);
}
FLINT_TEST_CLEANUP(state);
flint_printf("PASS\n");
return 0;
}

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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
=============================================================================*/
/******************************************************************************
Copyright (C) 2011 Fredrik Johansson
******************************************************************************/
#include <stdio.h>
#include <stdlib.h>
#include <gmp.h>
#include "flint.h"
#include "nmod_vec.h"
#include "ulong_extras.h"
int
main(void)
{
int i;
FLINT_TEST_INIT(state);
flint_printf("dot_ptr....");
fflush(stdout);
for (i = 0; i < 10000; i++)
{
slong len;
nmod_t mod;
mp_limb_t m, res, res2;
mp_ptr x, y;
mp_ptr * z;
int limbs1;
slong j, offset;
len = n_randint(state, 1000) + 1;
m = n_randtest_not_zero(state);
offset = n_randint(state, 10);
nmod_init(&mod, m);
x = _nmod_vec_init(len);
y = _nmod_vec_init(len);
z = flint_malloc(sizeof(mp_ptr) * len);
_nmod_vec_randtest(x, state, len, mod);
_nmod_vec_randtest(y, state, len, mod);
for (j = 0; j < len; j++)
z[j] = &y[j] + offset;
limbs1 = _nmod_vec_dot_bound_limbs(len, mod);
res = _nmod_vec_dot_ptr(x, z, -offset, len, mod, limbs1);
res2 = _nmod_vec_dot(x, y, len, mod, limbs1);
if (res != res2)
{
flint_printf("FAIL:\n");
flint_printf("m = %wu\n", m);
flint_printf("len = %wd\n", len);
flint_printf("limbs1 = %d\n", limbs1);
abort();
}
_nmod_vec_clear(x);
_nmod_vec_clear(y);
flint_free(z);
}
FLINT_TEST_CLEANUP(state);
flint_printf("PASS\n");
return 0;
}

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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
=============================================================================*/
/******************************************************************************
Copyright (C) 2013 Fredrik Johansson
******************************************************************************/
#include <stdio.h>
#include <stdlib.h>
#include <gmp.h>
#include "flint.h"
#include "nmod_vec.h"
#include "ulong_extras.h"
int
main(void)
{
int i;
FLINT_TEST_INIT(state);
flint_printf("nmod....");
fflush(stdout);
/* nmod_add */
for (i = 0; i < 10000; i++)
{
nmod_t mod;
mp_limb_t m, a, b, c;
mpz_t x, y, z;
m = n_randtest_not_zero(state);
nmod_init(&mod, m);
a = n_randlimb(state) % m;
b = n_randlimb(state) % m;
c = nmod_add(a, b, mod);
mpz_init(x);
mpz_init(y);
mpz_init(z);
flint_mpz_set_ui(x, a);
flint_mpz_set_ui(y, b);
mpz_add(z, x, y);
flint_mpz_mod_ui(z, z, m);
if (flint_mpz_cmp_ui(z, c) != 0)
{
flint_printf("FAIL (add):\n");
flint_printf("m = %wu\n", m);
abort();
}
mpz_clear(x);
mpz_clear(y);
mpz_clear(z);
}
/* nmod_sub */
for (i = 0; i < 10000; i++)
{
nmod_t mod;
mp_limb_t m, a, b, c;
mpz_t x, y, z;
m = n_randtest_not_zero(state);
nmod_init(&mod, m);
a = n_randlimb(state) % m;
b = n_randlimb(state) % m;
c = nmod_sub(a, b, mod);
mpz_init(x);
mpz_init(y);
mpz_init(z);
flint_mpz_set_ui(x, a);
flint_mpz_set_ui(y, b);
mpz_sub(z, x, y);
flint_mpz_mod_ui(z, z, m);
if (flint_mpz_cmp_ui(z, c) != 0)
{
flint_printf("FAIL (sub):\n");
flint_printf("m = %wu\n", m);
abort();
}
mpz_clear(x);
mpz_clear(y);
mpz_clear(z);
}
/* nmod_mul */
for (i = 0; i < 10000; i++)
{
nmod_t mod;
mp_limb_t m, a, b, c;
mpz_t x, y, z;
m = n_randtest_not_zero(state);
nmod_init(&mod, m);
a = n_randlimb(state) % m;
b = n_randlimb(state) % m;
c = nmod_mul(a, b, mod);
mpz_init(x);
mpz_init(y);
mpz_init(z);
flint_mpz_set_ui(x, a);
flint_mpz_set_ui(y, b);
mpz_mul(z, x, y);
flint_mpz_mod_ui(z, z, m);
if (flint_mpz_cmp_ui(z, c) != 0)
{
flint_printf("FAIL (mul):\n");
flint_printf("m = %wu\n", m);
abort();
}
mpz_clear(x);
mpz_clear(y);
mpz_clear(z);
}
/* nmod_div */
for (i = 0; i < 10000; i++)
{
nmod_t mod;
mp_limb_t m, a, b, c;
mpz_t x, y, z;
m = n_randtest_prime(state, 0);
nmod_init(&mod, m);
a = n_randlimb(state) % m;
do { b = n_randlimb(state) % m; } while (b == 0);
c = nmod_div(a, b, mod);
mpz_init(x);
mpz_init(y);
mpz_init(z);
flint_mpz_set_ui(x, a);
flint_mpz_set_ui(y, b);
flint_mpz_set_ui(z, m);
mpz_invert(z, y, z);
mpz_mul(z, x, z);
flint_mpz_mod_ui(z, z, m);
if (flint_mpz_cmp_ui(z, c) != 0)
{
flint_printf("FAIL (div):\n");
flint_printf("m = %wu\n", m);
abort();
}
mpz_clear(x);
mpz_clear(y);
mpz_clear(z);
}
/* nmod_inv */
for (i = 0; i < 10000; i++)
{
nmod_t mod;
mp_limb_t m, b, c;
mpz_t y, z;
m = n_randtest_prime(state, 0);
nmod_init(&mod, m);
do { b = n_randlimb(state) % m; } while (b == 0);
c = nmod_inv(b, mod);
mpz_init(y);
mpz_init(z);
flint_mpz_set_ui(y, b);
flint_mpz_set_ui(z, m);
mpz_invert(z, y, z);
if (flint_mpz_cmp_ui(z, c) != 0)
{
flint_printf("FAIL (div):\n");
flint_printf("m = %wu\n", m);
abort();
}
mpz_clear(y);
mpz_clear(z);
}
/* nmod_pow_ui */
for (i = 0; i < 10000; i++)
{
nmod_t mod;
mp_limb_t m, b, c;
mpz_t y, z;
ulong exp;
m = n_randtest_prime(state, 0);
exp = n_randtest(state);
nmod_init(&mod, m);
b = n_randlimb(state) % m;
c = nmod_pow_ui(b, exp, mod);
mpz_init(y);
mpz_init(z);
flint_mpz_set_ui(y, b);
flint_mpz_set_ui(z, m);
flint_mpz_powm_ui(z, y, exp, z);
if (flint_mpz_cmp_ui(z, c) != 0)
{
flint_printf("FAIL (pow):\n");
flint_printf("m = %wu\n", m);
abort();
}
mpz_clear(y);
mpz_clear(z);
}
FLINT_TEST_CLEANUP(state);
flint_printf("PASS\n");
return 0;
}

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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
=============================================================================*/
/******************************************************************************
Copyright (C) 2009 William Hart
******************************************************************************/
#include <stdio.h>
#include <stdlib.h>
#include <gmp.h>
#include "flint.h"
#include "nmod_vec.h"
#include "ulong_extras.h"
int
main(void)
{
int i, result;
FLINT_TEST_INIT(state);
flint_printf("reduce....");
fflush(stdout);
for (i = 0; i < 10000; i++)
{
slong j, len = n_randint(state, 100) + 1;
mp_ptr vec = _nmod_vec_init(len);
mp_ptr vec2 = _nmod_vec_init(len);
mp_limb_t n = n_randtest_not_zero(state);
nmod_t mod;
nmod_init(&mod, n);
for (j = 0; j < len; j++)
{
vec[j] = n_randtest(state);
vec2[j] = vec[j];
}
_nmod_vec_reduce(vec, vec, len, mod);
for (j = 0; j < len; j++)
vec2[j] = n_mod2_preinv(vec2[j], mod.n, mod.ninv);
result = _nmod_vec_equal(vec, vec2, len);
if (!result)
{
flint_printf("FAIL:\n");
flint_printf("len = %wd, n = %wd\n", len, n);
abort();
}
_nmod_vec_clear(vec);
_nmod_vec_clear(vec2);
}
FLINT_TEST_CLEANUP(state);
flint_printf("PASS\n");
return 0;
}

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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
=============================================================================*/
/******************************************************************************
Copyright (C) 2009 William Hart
******************************************************************************/
#include <stdio.h>
#include <stdlib.h>
#include <gmp.h>
#include "flint.h"
#include "nmod_vec.h"
#include "ulong_extras.h"
int
main(void)
{
int i, result;
FLINT_TEST_INIT(state);
flint_printf("scalar_addmul_nmod....");
fflush(stdout);
/* Check (a + b*c) == a + (b*c) */
for (i = 0; i < 10000; i++)
{
slong len = n_randint(state, 100) + 1;
mp_limb_t n = n_randtest_not_zero(state);
mp_limb_t c = n_randint(state, n);
nmod_t mod;
mp_ptr vec = _nmod_vec_init(len);
mp_ptr vec2 = _nmod_vec_init(len);
mp_ptr vec3 = _nmod_vec_init(len);
nmod_init(&mod, n);
_nmod_vec_randtest(vec, state, len, mod);
_nmod_vec_randtest(vec2, state, len, mod);
flint_mpn_copyi(vec3, vec2, len);
_nmod_vec_scalar_mul_nmod(vec3, vec, len, c, mod);
_nmod_vec_add(vec3, vec3, vec2, len, mod);
_nmod_vec_scalar_addmul_nmod(vec2, vec, len, c, mod);
result = _nmod_vec_equal(vec2, vec3, len);
if (!result)
{
flint_printf("FAIL:\n");
flint_printf("len = %wd, n = %wd\n", len, n);
abort();
}
_nmod_vec_clear(vec);
_nmod_vec_clear(vec2);
_nmod_vec_clear(vec3);
}
FLINT_TEST_CLEANUP(state);
flint_printf("PASS\n");
return 0;
}

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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
=============================================================================*/
/******************************************************************************
Copyright (C) 2009 William Hart
******************************************************************************/
#include <stdio.h>
#include <stdlib.h>
#include <gmp.h>
#include "flint.h"
#include "nmod_vec.h"
#include "ulong_extras.h"
int
main(void)
{
int i, result;
FLINT_TEST_INIT(state);
flint_printf("scalar_mul_nmod....");
fflush(stdout);
/* Check (a + b)*c == a*c + b*c */
for (i = 0; i < 10000; i++)
{
slong len = n_randint(state, 100) + 1;
mp_limb_t n = n_randtest_not_zero(state);
mp_limb_t c = n_randint(state, n);
nmod_t mod;
mp_ptr vec = _nmod_vec_init(len);
mp_ptr vec2 = _nmod_vec_init(len);
mp_ptr vec3 = _nmod_vec_init(len);
nmod_init(&mod, n);
_nmod_vec_randtest(vec, state, len, mod);
_nmod_vec_randtest(vec2, state, len, mod);
_nmod_vec_add(vec3, vec, vec2, len, mod);
_nmod_vec_scalar_mul_nmod(vec3, vec3, len, c, mod);
_nmod_vec_scalar_mul_nmod(vec, vec, len, c, mod);
_nmod_vec_scalar_mul_nmod(vec2, vec2, len, c, mod);
_nmod_vec_add(vec, vec, vec2, len, mod);
result = _nmod_vec_equal(vec, vec3, len);
if (!result)
{
flint_printf("FAIL:\n");
flint_printf("len = %wd, n = %wd\n", len, n);
abort();
}
_nmod_vec_clear(vec);
_nmod_vec_clear(vec2);
_nmod_vec_clear(vec3);
}
FLINT_TEST_CLEANUP(state);
flint_printf("PASS\n");
return 0;
}