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pqc/external/flint-2.4.3/qadic/test/t-sqrt.c
hasufell d51d8e3652
ALL: Add flint
2014-05-24 23:16:06 +02:00

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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) 2012 Sebastian Pancratz
******************************************************************************/
#include <stdio.h>
#include <stdlib.h>
#include "qadic.h"
#include "ulong_extras.h"
#include "long_extras.h"
extern int
_artin_schreier_preimage(fmpz *rop, const fmpz *op, slong len,
const fmpz *a, const slong *j, slong lena);
int main(void)
{
int i, result;
FLINT_TEST_INIT(state);
flint_printf("sqrt... ");
fflush(stdout);
/* PRIME p = 2 ***************************************************************/
/* Check Artin Schreier preimages */
for (i = 0; i < 2000; i++)
{
fmpz_t p = {WORD(2)};
slong d;
qadic_ctx_t ctx;
int ans;
qadic_t a, b, c;
d = n_randint(state, 10) + 1;
qadic_ctx_init_conway(ctx, p, d, 1, 1, "X", PADIC_SERIES);
qadic_init2(a, 1);
qadic_init2(b, 1);
qadic_init2(c, 1);
qadic_randtest_val(a, state, 0, ctx);
padic_poly_fit_length(b, d);
ans = _artin_schreier_preimage(b->coeffs, a->coeffs, a->length,
ctx->a, ctx->j, ctx->len);
b->val = 0;
_padic_poly_set_length(b, d);
_padic_poly_normalise(b);
if (ans)
{
qadic_mul(c, b, b, ctx);
qadic_add(c, c, b, ctx);
result = qadic_equal(a, c);
if (!result)
{
flint_printf("FAIL (Artin Schreier preimages):\n\n");
flint_printf("a = "), qadic_print_pretty(a, ctx), flint_printf("\n");
flint_printf("b = "), qadic_print_pretty(b, ctx), flint_printf("\n");
flint_printf("c = "), qadic_print_pretty(c, ctx), flint_printf("\n");
qadic_ctx_print(ctx);
abort();
}
}
qadic_clear(a);
qadic_clear(b);
qadic_clear(c);
qadic_ctx_clear(ctx);
}
/* Check aliasing: a = sqrt(a) */
for (i = 0; i < 2000; i++)
{
fmpz_t p = {WORD(2)};
slong d, N;
qadic_ctx_t ctx;
int ans1, ans2;
qadic_t a, b, c;
d = n_randint(state, 10) + 1;
N = z_randint(state, 50) + 1;
qadic_ctx_init_conway(ctx, p, d, FLINT_MAX(0,N-10), FLINT_MAX(0,N+10), "X", PADIC_SERIES);
qadic_init2(a, N);
qadic_init2(b, N);
qadic_init2(c, N);
qadic_randtest(a, state, ctx);
qadic_set(c, a, ctx);
ans1 = qadic_sqrt(b, a, ctx);
ans2 = qadic_sqrt(a, a, ctx);
result = ((ans1 == ans2) && (!ans1 || qadic_equal(a, b)));
if (!result)
{
flint_printf("FAIL (aliasing):\n\n");
flint_printf("a = "), qadic_print_pretty(a, ctx), flint_printf("\n");
flint_printf("b = "), qadic_print_pretty(b, ctx), flint_printf("\n");
flint_printf("c = "), qadic_print_pretty(c, ctx), flint_printf("\n");
flint_printf("ans1,ans2 = %d,%d\n", ans1, ans2);
qadic_ctx_print(ctx);
abort();
}
qadic_clear(a);
qadic_clear(b);
qadic_ctx_clear(ctx);
}
/* Test random squares over finite fields */
for (i = 0; i < 2000; i++)
{
fmpz_t p = {WORD(2)};
slong deg, N;
qadic_ctx_t ctx;
int ans;
qadic_t a, b, c;
deg = n_randint(state, 10) + 1;
N = 1;
qadic_ctx_init_conway(ctx, p, deg, FLINT_MAX(0, N-10), FLINT_MAX(0, N+10), "X", PADIC_SERIES);
qadic_init2(a, N);
qadic_init2(b, N);
qadic_init2(c, N);
qadic_randtest_val(b, state, 0, ctx);
qadic_mul(a, b, b, ctx);
ans = qadic_sqrt(c, a, ctx);
if (ans)
{
qadic_t d, e;
qadic_init2(d, N + qadic_val(a)/2);
qadic_init2(e, N + qadic_val(a)/2);
qadic_mul(d, c, c, ctx);
qadic_set(e, a, ctx);
result = (qadic_equal(d, e));
if (!result)
{
flint_printf("FAIL (a = b^2, c = sqrt(a), d = c^2 == a):\n\n");
flint_printf("a = "), qadic_print_pretty(a, ctx), flint_printf("\n");
flint_printf("b = "), qadic_print_pretty(b, ctx), flint_printf("\n");
flint_printf("c = "), qadic_print_pretty(c, ctx), flint_printf("\n");
flint_printf("d = "), qadic_print_pretty(d, ctx), flint_printf("\n");
flint_printf("e = "), qadic_print_pretty(e, ctx), flint_printf("\n");
flint_printf("ans = %d\n", ans);
flint_printf("N = %wd\n", N);
flint_printf("N + val(a)/2 = %wd\n", N + qadic_val(a)/2);
qadic_ctx_print(ctx);
abort();
}
qadic_clear(d);
qadic_clear(e);
}
/* there is no reason for that to work */
/*else
{
flint_printf("FAIL (a = b^2, c = sqrt(a), d = c^2 == a):\n\n");
flint_printf("a = "), qadic_print_pretty(a, ctx), flint_printf("\n");
flint_printf("b = "), qadic_print_pretty(b, ctx), flint_printf("\n");
flint_printf("c = "), qadic_print_pretty(c, ctx), flint_printf("\n");
flint_printf("ans = %d\n", ans);
qadic_ctx_print(ctx);
abort();
}*/
qadic_clear(a);
qadic_clear(b);
qadic_clear(c);
qadic_ctx_clear(ctx);
}
/* Test random elements over finite fields */
for (i = 0; i < 2000; i++)
{
fmpz_t p = {WORD(2)};
slong d, N;
qadic_ctx_t ctx;
int ans;
qadic_t a, b;
d = n_randint(state, 10) + 1;
N = 1;
qadic_ctx_init_conway(ctx, p, d, FLINT_MAX(0,N-10), FLINT_MAX(0,N+10), "X", PADIC_SERIES);
qadic_init2(a, N);
qadic_init2(b, N);
qadic_randtest_val(a, state, 0, ctx);
ans = qadic_sqrt(b, a, ctx);
if (ans)
{
qadic_t c, d;
qadic_init2(c, N + qadic_val(a)/2);
qadic_init2(d, N + qadic_val(a)/2);
qadic_mul(c, b, b, ctx);
qadic_set(d, a, ctx);
result = (qadic_equal(c, d));
if (!result)
{
flint_printf("FAIL (random elements):\n\n");
flint_printf("a = "), qadic_print_pretty(a, ctx), flint_printf("\n");
flint_printf("b = "), qadic_print_pretty(b, ctx), flint_printf("\n");
flint_printf("c = "), qadic_print_pretty(c, ctx), flint_printf("\n");
flint_printf("d = "), qadic_print_pretty(d, ctx), flint_printf("\n");
flint_printf("ans = %d\n", ans);
flint_printf("N = %wd\n", N);
flint_printf("N + val(a)/2 = %wd\n", N + qadic_val(a)/2);
qadic_ctx_print(ctx);
abort();
}
qadic_clear(c);
qadic_clear(d);
}
qadic_clear(a);
qadic_clear(b);
qadic_ctx_clear(ctx);
}
/* Test random squares */
for (i = 0; i < 2000; i++)
{
fmpz_t p = {WORD(2)};
slong deg, N;
qadic_ctx_t ctx;
int ans;
qadic_t a, b, c;
deg = n_randint(state, 10) + 1;
/* N >= 3 */
N = n_randint(state, 50) + 3;
qadic_ctx_init_conway(ctx, p, deg, FLINT_MAX(0, N-10), FLINT_MAX(0, N+10), "X", PADIC_SERIES);
qadic_init2(a, N);
qadic_init2(b, N);
qadic_init2(c, N);
qadic_randtest_val(b, state, 0, ctx);
qadic_randtest_int(b, state, ctx);
qadic_mul(a, b, b, ctx);
ans = qadic_sqrt(c, a, ctx);
if (ans)
{
qadic_t d, e, u, v, w;
qadic_init2(d, N + qadic_val(a)/2);
qadic_init2(e, N + qadic_val(a)/2);
qadic_init2(u, N);
qadic_init2(v, N + qadic_val(a)/2);
qadic_init2(w, N + qadic_val(a)/2);
qadic_mul(d, c, c, ctx);
qadic_set(e, a, ctx);
result = (qadic_equal(d, e));
if (!result)
{
flint_printf("FAIL (a = b^2, c = sqrt(a), d = c^2 == a):\n\n");
flint_printf("a = "), qadic_print_pretty(a, ctx), flint_printf("\n");
flint_printf("b = "), qadic_print_pretty(b, ctx), flint_printf("\n");
flint_printf("c = "), qadic_print_pretty(c, ctx), flint_printf("\n");
flint_printf("d = "), qadic_print_pretty(d, ctx), flint_printf("\n");
flint_printf("e = "), qadic_print_pretty(e, ctx), flint_printf("\n");
flint_printf("ans = %d\n", ans);
flint_printf("N = %wd\n", N);
flint_printf("N + val(a)/2 = %wd\n", N + qadic_val(a)/2);
qadic_ctx_print(ctx);
abort();
}
qadic_clear(d);
qadic_clear(e);
}
else
{
if (N - qadic_val(a) >= 3)
{
flint_printf("FAIL (a = b^2, c = sqrt(a), d = c^2 == a):\n\n");
flint_printf("a = "), qadic_print_pretty(a, ctx), flint_printf("\n");
flint_printf("b = "), qadic_print_pretty(b, ctx), flint_printf("\n");
flint_printf("c = "), qadic_print_pretty(c, ctx), flint_printf("\n");
flint_printf("ans = %d\n", ans);
flint_printf("N = %wd\n", N);
flint_printf("N + val(a)/2 = %wd\n", N + qadic_val(a)/2);
qadic_ctx_print(ctx);
abort();
}
}
qadic_clear(a);
qadic_clear(b);
qadic_clear(c);
fmpz_clear(p);
qadic_ctx_clear(ctx);
}
/* Test random elements */
for (i = 0; i < 2000; i++)
{
fmpz_t p = {WORD(2)};
slong d, N;
qadic_ctx_t ctx;
int ans;
qadic_t a, b;
d = n_randint(state, 10) + 1;
N = z_randint(state, 50) + 1;
qadic_ctx_init_conway(ctx, p, d, FLINT_MAX(0,N-10), FLINT_MAX(0,N+10), "X", PADIC_SERIES);
qadic_init2(a, N);
qadic_init2(b, N);
qadic_randtest(a, state, ctx);
ans = qadic_sqrt(b, a, ctx);
if (ans)
{
qadic_t c, d;
qadic_init2(c, N + qadic_val(a)/2);
qadic_init2(d, N + qadic_val(a)/2);
qadic_mul(c, b, b, ctx);
qadic_set(d, a, ctx);
result = (qadic_equal(c, d));
if (!result)
{
flint_printf("FAIL (random elements):\n\n");
flint_printf("a = "), qadic_print_pretty(a, ctx), flint_printf("\n");
flint_printf("b = "), qadic_print_pretty(b, ctx), flint_printf("\n");
flint_printf("c = "), qadic_print_pretty(c, ctx), flint_printf("\n");
flint_printf("d = "), qadic_print_pretty(d, ctx), flint_printf("\n");
flint_printf("ans = %d\n", ans);
flint_printf("N = %wd\n", N);
flint_printf("N + val(a)/2 = %wd\n", N + qadic_val(a)/2);
qadic_ctx_print(ctx);
abort();
}
qadic_clear(c);
qadic_clear(d);
}
qadic_clear(a);
qadic_clear(b);
fmpz_clear(p);
qadic_ctx_clear(ctx);
}
/* PRIME p != 2 **************************************************************/
/* Check aliasing: a = sqrt(a) */
for (i = 0; i < 2000; i++)
{
fmpz_t p;
slong d, N, q;
qadic_ctx_t ctx;
int ans1, ans2;
qadic_t a, b, c;
q = 2;
while (q == 2)
q = n_randprime(state, 2 + n_randint(state, 3), 1);
fmpz_init_set_ui(p, q);
d = n_randint(state, 10) + 1;
N = z_randint(state, 50) + 1;
qadic_ctx_init_conway(ctx, p, d, FLINT_MAX(0,N-10), FLINT_MAX(0,N+10), "X", PADIC_SERIES);
qadic_init2(a, N);
qadic_init2(b, N);
qadic_init2(c, N);
qadic_randtest(a, state, ctx);
qadic_set(c, a, ctx);
ans1 = qadic_sqrt(b, a, ctx);
ans2 = qadic_sqrt(a, a, ctx);
result = ((ans1 == ans2) && (!ans1 || qadic_equal(a, b)));
if (!result)
{
flint_printf("FAIL (aliasing):\n\n");
flint_printf("a = "), qadic_print_pretty(a, ctx), flint_printf("\n");
flint_printf("b = "), qadic_print_pretty(b, ctx), flint_printf("\n");
flint_printf("c = "), qadic_print_pretty(c, ctx), flint_printf("\n");
flint_printf("ans1,ans2 = %d,%d\n", ans1, ans2);
qadic_ctx_print(ctx);
abort();
}
qadic_clear(a);
qadic_clear(b);
fmpz_clear(p);
qadic_ctx_clear(ctx);
}
/* Test random squares over finite fields */
for (i = 0; i < 2000; i++)
{
fmpz_t p;
slong deg, N, q;
qadic_ctx_t ctx;
int ans;
qadic_t a, b, c;
q = 2;
while (q == 2)
q = n_randprime(state, 2 + n_randint(state, 3), 1);
fmpz_init_set_ui(p, q);
deg = n_randint(state, 10) + 1;
N = 1;
qadic_ctx_init_conway(ctx, p, deg, FLINT_MAX(0, N-10), FLINT_MAX(0, N+10), "X", PADIC_SERIES);
qadic_init2(a, N);
qadic_init2(b, N);
qadic_init2(c, N);
qadic_randtest_val(b, state, 0, ctx);
qadic_mul(a, b, b, ctx);
ans = qadic_sqrt(c, a, ctx);
if (ans)
{
qadic_t d, e;
qadic_init2(d, N + qadic_val(a)/2);
qadic_init2(e, N + qadic_val(a)/2);
qadic_mul(d, c, c, ctx);
qadic_set(e, a, ctx);
result = (qadic_equal(d, e));
if (!result)
{
flint_printf("FAIL (a = b^2, c = sqrt(a), d = c^2 == a):\n\n");
flint_printf("a = "), qadic_print_pretty(a, ctx), flint_printf("\n");
flint_printf("b = "), qadic_print_pretty(b, ctx), flint_printf("\n");
flint_printf("c = "), qadic_print_pretty(c, ctx), flint_printf("\n");
flint_printf("d = "), qadic_print_pretty(d, ctx), flint_printf("\n");
flint_printf("e = "), qadic_print_pretty(e, ctx), flint_printf("\n");
flint_printf("ans = %d\n", ans);
flint_printf("N = %wd\n", N);
flint_printf("N + val(a)/2 = %wd\n", N + qadic_val(a)/2);
qadic_ctx_print(ctx);
abort();
}
qadic_clear(d);
qadic_clear(e);
}
else
{
flint_printf("FAIL (a = b^2, c = sqrt(a), d = c^2 == a):\n\n");
flint_printf("a = "), qadic_print_pretty(a, ctx), flint_printf("\n");
flint_printf("b = "), qadic_print_pretty(b, ctx), flint_printf("\n");
flint_printf("c = "), qadic_print_pretty(c, ctx), flint_printf("\n");
flint_printf("ans = %d\n", ans);
qadic_ctx_print(ctx);
abort();
}
qadic_clear(a);
qadic_clear(b);
qadic_clear(c);
fmpz_clear(p);
qadic_ctx_clear(ctx);
}
/* Test random elements over finite fields */
for (i = 0; i < 2000; i++)
{
fmpz_t p;
slong d, N, q;
qadic_ctx_t ctx;
int ans;
qadic_t a, b;
q = 2;
while (q == 2)
q = n_randprime(state, 2 + n_randint(state, 3), 1);
fmpz_init_set_ui(p, q);
d = n_randint(state, 10) + 1;
N = 1;
qadic_ctx_init_conway(ctx, p, d, FLINT_MAX(0,N-10), FLINT_MAX(0,N+10), "X", PADIC_SERIES);
qadic_init2(a, N);
qadic_init2(b, N);
qadic_randtest_val(a, state, 0, ctx);
ans = qadic_sqrt(b, a, ctx);
if (ans)
{
qadic_t c, d;
qadic_init2(c, N + qadic_val(a)/2);
qadic_init2(d, N + qadic_val(a)/2);
qadic_mul(c, b, b, ctx);
qadic_set(d, a, ctx);
result = (qadic_equal(c, d));
if (!result)
{
flint_printf("FAIL (random elements):\n\n");
flint_printf("a = "), qadic_print_pretty(a, ctx), flint_printf("\n");
flint_printf("b = "), qadic_print_pretty(b, ctx), flint_printf("\n");
flint_printf("c = "), qadic_print_pretty(c, ctx), flint_printf("\n");
flint_printf("d = "), qadic_print_pretty(d, ctx), flint_printf("\n");
flint_printf("ans = %d\n", ans);
flint_printf("N = %wd\n", N);
flint_printf("N + val(a)/2 = %wd\n", N + qadic_val(a)/2);
qadic_ctx_print(ctx);
abort();
}
qadic_clear(c);
qadic_clear(d);
}
qadic_clear(a);
qadic_clear(b);
fmpz_clear(p);
qadic_ctx_clear(ctx);
}
/* Test random squares */
for (i = 0; i < 2000; i++)
{
fmpz_t p;
slong deg, N, q;
qadic_ctx_t ctx;
int ans;
qadic_t a, b, c;
q = 2;
while (q == 2)
q = n_randprime(state, 2 + n_randint(state, 3), 1);
fmpz_init_set_ui(p, q);
deg = n_randint(state, 10) + 1;
N = z_randint(state, 50) + 1;
qadic_ctx_init_conway(ctx, p, deg, FLINT_MAX(0, N-10), FLINT_MAX(0, N+10), "X", PADIC_SERIES);
qadic_init2(a, N);
qadic_init2(b, N);
qadic_init2(c, N);
qadic_randtest_val(b, state, 0, ctx); /* XXX */
qadic_mul(a, b, b, ctx);
ans = qadic_sqrt(c, a, ctx);
if (ans)
{
qadic_t d, e;
qadic_init2(d, N + qadic_val(a)/2);
qadic_init2(e, N + qadic_val(a)/2);
qadic_mul(d, c, c, ctx);
qadic_set(e, a, ctx);
result = (qadic_equal(d, e));
if (!result)
{
flint_printf("FAIL (a = b^2, c = sqrt(a), d = c^2 == a):\n\n");
flint_printf("a = "), qadic_print_pretty(a, ctx), flint_printf("\n");
flint_printf("b = "), qadic_print_pretty(b, ctx), flint_printf("\n");
flint_printf("c = "), qadic_print_pretty(c, ctx), flint_printf("\n");
flint_printf("d = "), qadic_print_pretty(d, ctx), flint_printf("\n");
flint_printf("e = "), qadic_print_pretty(e, ctx), flint_printf("\n");
flint_printf("ans = %d\n", ans);
flint_printf("N = %wd\n", N);
flint_printf("N + val(a)/2 = %wd\n", N + qadic_val(a)/2);
qadic_ctx_print(ctx);
abort();
}
qadic_clear(d);
qadic_clear(e);
}
else
{
flint_printf("FAIL (a = b^2, c = sqrt(a), d = c^2 == a):\n\n");
flint_printf("a = "), qadic_print_pretty(a, ctx), flint_printf("\n");
flint_printf("b = "), qadic_print_pretty(b, ctx), flint_printf("\n");
flint_printf("c = "), qadic_print_pretty(c, ctx), flint_printf("\n");
flint_printf("ans = %d\n", ans);
qadic_ctx_print(ctx);
abort();
}
qadic_clear(a);
qadic_clear(b);
qadic_clear(c);
fmpz_clear(p);
qadic_ctx_clear(ctx);
}
/* Test random elements */
for (i = 0; i < 2000; i++)
{
fmpz_t p;
slong d, N, q;
qadic_ctx_t ctx;
int ans;
qadic_t a, b;
q = 2;
while (q == 2)
q = n_randprime(state, 2 + n_randint(state, 3), 1);
fmpz_init_set_ui(p, q);
d = n_randint(state, 10) + 1;
N = z_randint(state, 50) + 1;
qadic_ctx_init_conway(ctx, p, d, FLINT_MAX(0,N-10), FLINT_MAX(0,N+10), "X", PADIC_SERIES);
qadic_init2(a, N);
qadic_init2(b, N);
qadic_randtest(a, state, ctx);
ans = qadic_sqrt(b, a, ctx);
if (ans)
{
qadic_t c, d;
qadic_init2(c, N + qadic_val(a)/2);
qadic_init2(d, N + qadic_val(a)/2);
qadic_mul(c, b, b, ctx);
qadic_set(d, a, ctx);
result = (qadic_equal(c, d));
if (!result)
{
flint_printf("FAIL (random elements):\n\n");
flint_printf("a = "), qadic_print_pretty(a, ctx), flint_printf("\n");
flint_printf("b = "), qadic_print_pretty(b, ctx), flint_printf("\n");
flint_printf("c = "), qadic_print_pretty(c, ctx), flint_printf("\n");
flint_printf("d = "), qadic_print_pretty(d, ctx), flint_printf("\n");
flint_printf("ans = %d\n", ans);
flint_printf("N = %wd\n", N);
flint_printf("N + val(a)/2 = %wd\n", N + qadic_val(a)/2);
qadic_ctx_print(ctx);
abort();
}
qadic_clear(c);
qadic_clear(d);
}
qadic_clear(a);
qadic_clear(b);
fmpz_clear(p);
qadic_ctx_clear(ctx);
}
FLINT_TEST_CLEANUP(state);
flint_printf("PASS\n");
return EXIT_SUCCESS;
}
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