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/*
Copyright (C) 2012 Fredrik Johansson
This file is part of Arb.
Arb is free software: you can redistribute it and/or modify it under
the terms of the GNU Lesser General Public License (LGPL) as published
by the Free Software Foundation; either version 2.1 of the License, or
(at your option) any later version. See <http://www.gnu.org/licenses/>.
*/
#include "acb_poly.h"
int main()
{
slong iter;
flint_rand_t state;
flint_printf("mullow_transpose_gauss....");
fflush(stdout);
flint_randinit(state);
/* compare with fmpq_poly */
for (iter = 0; iter < 10000 * arb_test_multiplier(); iter++)
{
slong qbits1, qbits2, rbits1, rbits2, rbits3, trunc;
fmpq_poly_t A, B, C;
acb_poly_t a, b, c, d;
qbits1 = 2 + n_randint(state, 200);
qbits2 = 2 + n_randint(state, 200);
rbits1 = 2 + n_randint(state, 200);
rbits2 = 2 + n_randint(state, 200);
rbits3 = 2 + n_randint(state, 200);
trunc = n_randint(state, 10);
fmpq_poly_init(A);
fmpq_poly_init(B);
fmpq_poly_init(C);
acb_poly_init(a);
acb_poly_init(b);
acb_poly_init(c);
acb_poly_init(d);
fmpq_poly_randtest(A, state, 1 + n_randint(state, 10), qbits1);
fmpq_poly_randtest(B, state, 1 + n_randint(state, 10), qbits2);
fmpq_poly_mullow(C, A, B, trunc);
acb_poly_set_fmpq_poly(a, A, rbits1);
acb_poly_set_fmpq_poly(b, B, rbits2);
acb_poly_mullow_transpose_gauss(c, a, b, trunc, rbits3);
if (!acb_poly_contains_fmpq_poly(c, C))
{
flint_printf("FAIL\n\n");
flint_printf("bits3 = %wd\n", rbits3);
flint_printf("trunc = %wd\n", trunc);
flint_printf("A = "); fmpq_poly_print(A); flint_printf("\n\n");
flint_printf("B = "); fmpq_poly_print(B); flint_printf("\n\n");
flint_printf("C = "); fmpq_poly_print(C); flint_printf("\n\n");
flint_printf("a = "); acb_poly_printd(a, 15); flint_printf("\n\n");
flint_printf("b = "); acb_poly_printd(b, 15); flint_printf("\n\n");
flint_printf("c = "); acb_poly_printd(c, 15); flint_printf("\n\n");
flint_abort();
}
acb_poly_set(d, a);
acb_poly_mullow_transpose_gauss(d, d, b, trunc, rbits3);
if (!acb_poly_equal(d, c))
{
flint_printf("FAIL (aliasing 1)\n\n");
flint_abort();
}
acb_poly_set(d, b);
acb_poly_mullow_transpose_gauss(d, a, d, trunc, rbits3);
if (!acb_poly_equal(d, c))
{
flint_printf("FAIL (aliasing 2)\n\n");
flint_abort();
}
/* test squaring */
acb_poly_set(b, a);
acb_poly_mullow_transpose_gauss(c, a, b, trunc, rbits3);
acb_poly_mullow_transpose_gauss(d, a, a, trunc, rbits3);
if (!acb_poly_overlaps(c, d)) /* not guaranteed to be identical */
{
flint_printf("FAIL (squaring)\n\n");
flint_printf("a = "); acb_poly_printd(a, 15); flint_printf("\n\n");
flint_printf("b = "); acb_poly_printd(b, 15); flint_printf("\n\n");
flint_printf("c = "); acb_poly_printd(c, 15); flint_printf("\n\n");
flint_abort();
}
acb_poly_mullow_transpose_gauss(a, a, a, trunc, rbits3);
if (!acb_poly_equal(d, a))
{
flint_printf("FAIL (aliasing, squaring)\n\n");
flint_printf("a = "); acb_poly_printd(a, 15); flint_printf("\n\n");
flint_printf("b = "); acb_poly_printd(b, 15); flint_printf("\n\n");
flint_printf("d = "); acb_poly_printd(d, 15); flint_printf("\n\n");
flint_abort();
}
fmpq_poly_clear(A);
fmpq_poly_clear(B);
fmpq_poly_clear(C);
acb_poly_clear(a);
acb_poly_clear(b);
acb_poly_clear(c);
acb_poly_clear(d);
}
/* compare with classical */
for (iter = 0; iter < 10000 * arb_test_multiplier(); iter++)
{
slong bits, trunc;
acb_poly_t a, b, ab, ab2;
bits = 2 + n_randint(state, 200);
trunc = n_randint(state, 10);
acb_poly_init(a);
acb_poly_init(b);
acb_poly_init(ab);
acb_poly_init(ab2);
acb_poly_randtest(a, state, 1 + n_randint(state, 10), bits, 5);
acb_poly_randtest(b, state, 1 + n_randint(state, 10), bits, 5);
acb_poly_mullow_classical(ab, a, b, trunc, bits);
acb_poly_mullow_transpose_gauss(ab2, a, b, trunc, bits);
if (!acb_poly_overlaps(ab, ab2))
{
flint_printf("FAIL\n\n");
flint_printf("bits = %wd\n", bits);
flint_printf("trunc = %wd\n", trunc);
flint_printf("a = "); acb_poly_printd(a, 15); flint_printf("\n\n");
flint_printf("b = "); acb_poly_printd(b, 15); flint_printf("\n\n");
flint_printf("ab = "); acb_poly_printd(ab, 15); flint_printf("\n\n");
flint_printf("ab2 = "); acb_poly_printd(ab2, 15); flint_printf("\n\n");
flint_abort();
}
acb_poly_clear(a);
acb_poly_clear(b);
acb_poly_clear(ab);
acb_poly_clear(ab2);
}
flint_randclear(state);
flint_cleanup();
flint_printf("PASS\n");
return EXIT_SUCCESS;
}
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