247 lines
7.9 KiB
C
247 lines
7.9 KiB
C
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/*=============================================================================
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This file is part of FLINT.
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FLINT is free software; you can redistribute it and/or modify
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it under the terms of the GNU General Public License as published by
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the Free Software Foundation; either version 2 of the License, or
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(at your option) any later version.
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FLINT is distributed in the hope that it will be useful,
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but WITHOUT ANY WARRANTY; without even the implied warranty of
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MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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GNU General Public License for more details.
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You should have received a copy of the GNU General Public License
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along with FLINT; if not, write to the Free Software
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Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA
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=============================================================================*/
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/******************************************************************************
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Copyright (C) 2012 Sebastian Pancratz
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Copyright (C) 2012 Andres Goens
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Copyright (C) 2013 Mike Hansen
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******************************************************************************/
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#ifdef T
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#include "templates.h"
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#include <stdio.h>
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#include <stdlib.h>
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#include "ulong_extras.h"
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#include "long_extras.h"
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int
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main(void)
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{
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int i, result;
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FLINT_TEST_INIT(state);
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flint_printf("frobenius... ");
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fflush(stdout);
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/* Check aliasing */
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for (i = 0; i < 1000; i++)
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{
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TEMPLATE(T, ctx_t) ctx;
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TEMPLATE(T, t) a, b, c;
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slong e;
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TEMPLATE(T, ctx_randtest)(ctx, state);
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TEMPLATE(T, init)(a, ctx);
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TEMPLATE(T, init)(b, ctx);
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TEMPLATE(T, init)(c, ctx);
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TEMPLATE(T, randtest)(a, state, ctx);
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TEMPLATE(T, set)(b, a, ctx);
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e = n_randint(state, 10) % TEMPLATE(T, ctx_degree)(ctx);
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TEMPLATE(T, frobenius)(c, b, e, ctx);
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TEMPLATE(T, frobenius)(b, b, e, ctx);
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result = (TEMPLATE(T, equal)(b, c, ctx));
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if (!result)
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{
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flint_printf("FAIL (alias):\n\n");
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flint_printf("a = "), TEMPLATE(T, print_pretty)(a, ctx), flint_printf("\n");
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flint_printf("b = "), TEMPLATE(T, print_pretty)(b, ctx), flint_printf("\n");
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flint_printf("c = "), TEMPLATE(T, print_pretty)(c, ctx), flint_printf("\n");
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flint_printf("e = %wd\n", e);
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abort();
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}
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TEMPLATE(T, clear)(a, ctx);
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TEMPLATE(T, clear)(b, ctx);
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TEMPLATE(T, clear)(c, ctx);
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TEMPLATE(T, ctx_clear)(ctx);
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}
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/* Check sigma^e(x) == x^{p^e} */
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for (i = 0; i < 1000; i++)
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{
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TEMPLATE(T, ctx_t) ctx;
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TEMPLATE(T, t) a, b, c;
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slong e;
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TEMPLATE(T, ctx_randtest)(ctx, state);
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TEMPLATE(T, init)(a, ctx);
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TEMPLATE(T, init)(b, ctx);
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TEMPLATE(T, init)(c, ctx);
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TEMPLATE(T, randtest)(a, state, ctx);
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e = n_randint(state, 10) % TEMPLATE(T, ctx_degree)(ctx);
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TEMPLATE(T, frobenius)(b, a, e, ctx);
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{
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fmpz_t t;
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fmpz_init(t);
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fmpz_pow_ui(t, TEMPLATE(T, ctx_prime)(ctx), e);
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TEMPLATE(T, pow)(c, a, t, ctx);
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fmpz_clear(t);
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}
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result = (TEMPLATE(T, equal)(b,c,ctx));
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if (!result)
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{
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flint_printf("FAIL (sigma^e(x) = x^{p^e}):\n\n");
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flint_printf("a = "), TEMPLATE(T, print_pretty)(a, ctx), flint_printf("\n");
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flint_printf("b = "), TEMPLATE(T, print_pretty)(b, ctx), flint_printf("\n");
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flint_printf("c = "), TEMPLATE(T, print_pretty)(c, ctx), flint_printf("\n");
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flint_printf("e = %wd\n", e);
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abort();
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}
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TEMPLATE(T, clear)(a, ctx);
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TEMPLATE(T, clear)(b, ctx);
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TEMPLATE(T, clear)(c, ctx);
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TEMPLATE(T, ctx_clear)(ctx);
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}
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/* Check sigma^e(x + y) = sigma^e(x) + sigma^e(y) */
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for (i = 0; i < 1000; i++)
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{
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TEMPLATE(T, ctx_t) ctx;
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TEMPLATE(T, t) a, b, s, s1, s2, lhs, rhs;
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slong e;
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TEMPLATE(T, ctx_randtest)(ctx, state);
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TEMPLATE(T, init)(a, ctx);
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TEMPLATE(T, init)(b, ctx);
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TEMPLATE(T, init)(s, ctx);
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TEMPLATE(T, init)(s1, ctx);
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TEMPLATE(T, init)(s2, ctx);
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TEMPLATE(T, init)(lhs, ctx);
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TEMPLATE(T, init)(rhs, ctx);
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TEMPLATE(T, randtest)(a, state, ctx);
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TEMPLATE(T, randtest)(b, state, ctx);
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e = n_randint(state, 10) % TEMPLATE(T, ctx_degree)(ctx);
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TEMPLATE(T, add)(s, a, b, ctx);
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TEMPLATE(T, frobenius)(lhs, s, e, ctx);
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TEMPLATE(T, frobenius)(s1, a, e, ctx);
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TEMPLATE(T, frobenius)(s2, b, e, ctx);
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TEMPLATE(T, add)(rhs, s1, s2, ctx);
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result = (TEMPLATE(T, equal)(lhs, rhs, ctx));
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if (!result)
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{
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flint_printf("FAIL (sigma(a+b) = sigma(a) + sigma(b)):\n\n");
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flint_printf("a = "), TEMPLATE(T, print_pretty)(a, ctx), flint_printf("\n");
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flint_printf("b = "), TEMPLATE(T, print_pretty)(b, ctx), flint_printf("\n");
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flint_printf("s = "), TEMPLATE(T, print_pretty)(s, ctx), flint_printf("\n");
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flint_printf("s1 = "), TEMPLATE(T, print_pretty)(s1, ctx), flint_printf("\n");
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flint_printf("s2 = "), TEMPLATE(T, print_pretty)(s2, ctx), flint_printf("\n");
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flint_printf("lhs = "), TEMPLATE(T, print_pretty)(lhs, ctx), flint_printf("\n");
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flint_printf("rhs = "), TEMPLATE(T, print_pretty)(rhs, ctx), flint_printf("\n");
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flint_printf("e = %wd\n", e);
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abort();
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}
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TEMPLATE(T, clear)(a, ctx);
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TEMPLATE(T, clear)(b, ctx);
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TEMPLATE(T, clear)(s, ctx);
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TEMPLATE(T, clear)(s1, ctx);
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TEMPLATE(T, clear)(s2, ctx);
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TEMPLATE(T, clear)(lhs, ctx);
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TEMPLATE(T, clear)(rhs, ctx);
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TEMPLATE(T, ctx_clear)(ctx);
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}
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/* Check sigma^e(x * y) = sigma^e(x) * sigma^e(y) on Zq */
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for (i = 0; i < 1000; i++)
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{
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TEMPLATE(T, ctx_t) ctx;
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TEMPLATE(T, t) a, b, s, s1, s2, lhs, rhs;
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slong e;
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TEMPLATE(T, ctx_randtest)(ctx, state);
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TEMPLATE(T, init)(a, ctx);
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TEMPLATE(T, init)(b, ctx);
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TEMPLATE(T, init)(s, ctx);
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TEMPLATE(T, init)(s1, ctx);
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TEMPLATE(T, init)(s2, ctx);
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TEMPLATE(T, init)(lhs, ctx);
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TEMPLATE(T, init)(rhs, ctx);
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TEMPLATE(T, randtest)(a, state, ctx);
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TEMPLATE(T, randtest)(b, state, ctx);
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e = n_randint(state, 10) % TEMPLATE(T, ctx_degree)(ctx);
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TEMPLATE(T, mul)(s, a, b, ctx);
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TEMPLATE(T, frobenius)(lhs, s, e, ctx);
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TEMPLATE(T, frobenius)(s1, a, e, ctx);
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TEMPLATE(T, frobenius)(s2, b, e, ctx);
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TEMPLATE(T, mul)(rhs, s1, s2, ctx);
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result = (TEMPLATE(T, equal)(lhs, rhs, ctx));
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if (!result)
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{
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flint_printf("FAIL (sigma(a*b) = sigma(a) * sigma(b)):\n\n");
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flint_printf("a = "), TEMPLATE(T, print_pretty)(a, ctx), flint_printf("\n");
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flint_printf("b = "), TEMPLATE(T, print_pretty)(b, ctx), flint_printf("\n");
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flint_printf("s = "), TEMPLATE(T, print_pretty)(s, ctx), flint_printf("\n");
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flint_printf("s1 = "), TEMPLATE(T, print_pretty)(s1, ctx), flint_printf("\n");
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flint_printf("s2 = "), TEMPLATE(T, print_pretty)(s2, ctx), flint_printf("\n");
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flint_printf("lhs = "), TEMPLATE(T, print_pretty)(lhs, ctx), flint_printf("\n");
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flint_printf("rhs = "), TEMPLATE(T, print_pretty)(rhs, ctx), flint_printf("\n");
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flint_printf("e = %wd\n", e);
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abort();
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}
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TEMPLATE(T, clear)(a, ctx);
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TEMPLATE(T, clear)(b, ctx);
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TEMPLATE(T, clear)(s, ctx);
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TEMPLATE(T, clear)(s1, ctx);
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TEMPLATE(T, clear)(s2, ctx);
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TEMPLATE(T, clear)(lhs, ctx);
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TEMPLATE(T, clear)(rhs, ctx);
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TEMPLATE(T, ctx_clear)(ctx);
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}
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FLINT_TEST_CLEANUP(state);
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flint_printf("PASS\n");
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return EXIT_SUCCESS;
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}
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#endif
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