mirror of
https://github.com/vale981/arb
synced 2025-03-06 09:51:39 -05:00
223 lines
7 KiB
C
223 lines
7 KiB
C
/*=============================================================================
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This file is part of ARB.
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ARB 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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ARB 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 ARB; 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 Fredrik Johansson
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******************************************************************************/
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#include "arb_poly.h"
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int main()
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{
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long iter;
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flint_rand_t state;
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printf("mullow_block....");
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fflush(stdout);
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flint_randinit(state);
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/* compare with fmpq_poly */
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for (iter = 0; iter < 10000; iter++)
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{
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long qbits1, qbits2, rbits1, rbits2, rbits3, trunc;
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fmpq_poly_t A, B, C;
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arb_poly_t a, b, c, d;
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qbits1 = 2 + n_randint(state, 1000);
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qbits2 = 2 + n_randint(state, 1000);
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rbits1 = 2 + n_randint(state, 1000);
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rbits2 = 2 + n_randint(state, 1000);
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rbits3 = 2 + n_randint(state, 1000);
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trunc = n_randint(state, 100);
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fmpq_poly_init(A);
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fmpq_poly_init(B);
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fmpq_poly_init(C);
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arb_poly_init(a);
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arb_poly_init(b);
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arb_poly_init(c);
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arb_poly_init(d);
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fmpq_poly_randtest(A, state, 1 + n_randint(state, 100), qbits1);
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fmpq_poly_randtest(B, state, 1 + n_randint(state, 100), qbits2);
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fmpq_poly_mullow(C, A, B, trunc);
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arb_poly_set_fmpq_poly(a, A, rbits1);
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arb_poly_set_fmpq_poly(b, B, rbits2);
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arb_poly_mullow_block(c, a, b, trunc, rbits3);
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if (!arb_poly_contains_fmpq_poly(c, C))
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{
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printf("FAIL\n\n");
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printf("bits3 = %ld\n", rbits3);
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printf("trunc = %ld\n", trunc);
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printf("A = "); fmpq_poly_print(A); printf("\n\n");
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printf("B = "); fmpq_poly_print(B); printf("\n\n");
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printf("C = "); fmpq_poly_print(C); printf("\n\n");
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printf("a = "); arb_poly_printd(a, 15); printf("\n\n");
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printf("b = "); arb_poly_printd(b, 15); printf("\n\n");
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printf("c = "); arb_poly_printd(c, 15); printf("\n\n");
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abort();
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}
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arb_poly_set(d, a);
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arb_poly_mullow_block(d, d, b, trunc, rbits3);
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if (!arb_poly_equal(d, c))
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{
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printf("FAIL (aliasing 1)\n\n");
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abort();
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}
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arb_poly_set(d, b);
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arb_poly_mullow_block(d, a, d, trunc, rbits3);
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if (!arb_poly_equal(d, c))
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{
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printf("FAIL (aliasing 2)\n\n");
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abort();
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}
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/* test squaring */
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arb_poly_set(b, a);
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arb_poly_mullow_block(c, a, b, trunc, rbits3);
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arb_poly_mullow_block(d, a, a, trunc, rbits3);
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if (!arb_poly_overlaps(c, d)) /* not guaranteed to be identical */
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{
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printf("FAIL (squaring)\n\n");
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printf("a = "); arb_poly_printd(a, 15); printf("\n\n");
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printf("b = "); arb_poly_printd(b, 15); printf("\n\n");
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printf("c = "); arb_poly_printd(c, 15); printf("\n\n");
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abort();
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}
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arb_poly_mullow_block(a, a, a, trunc, rbits3);
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if (!arb_poly_equal(d, a))
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{
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printf("FAIL (aliasing, squaring)\n\n");
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printf("a = "); arb_poly_printd(a, 15); printf("\n\n");
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printf("b = "); arb_poly_printd(b, 15); printf("\n\n");
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printf("d = "); arb_poly_printd(d, 15); printf("\n\n");
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abort();
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}
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fmpq_poly_clear(A);
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fmpq_poly_clear(B);
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fmpq_poly_clear(C);
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arb_poly_clear(a);
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arb_poly_clear(b);
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arb_poly_clear(c);
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arb_poly_clear(d);
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}
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for (iter = 0; iter < 3000; iter++)
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{
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long rbits1, rbits2, rbits3, trunc;
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arb_poly_t a, b, c, ab, ac, bc, abc, abc2;
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rbits1 = 2 + n_randint(state, 300);
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rbits2 = 2 + n_randint(state, 300);
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rbits3 = 2 + n_randint(state, 300);
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trunc = n_randint(state, 100);
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arb_poly_init(a);
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arb_poly_init(b);
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arb_poly_init(c);
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arb_poly_init(ab);
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arb_poly_init(ac);
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arb_poly_init(bc);
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arb_poly_init(abc);
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arb_poly_init(abc2);
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arb_poly_randtest(a, state, 1 + n_randint(state, 100), rbits1, 1 + n_randint(state, 100));
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arb_poly_randtest(b, state, 1 + n_randint(state, 100), rbits2, 1 + n_randint(state, 100));
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arb_poly_randtest(c, state, 1 + n_randint(state, 100), rbits2, 1 + n_randint(state, 100));
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/* check a*(b+c) = a*b + a*c */
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arb_poly_mullow_block(ab, a, b, trunc, rbits3);
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arb_poly_mullow_block(ac, a, c, trunc, rbits3);
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arb_poly_add(abc, ab, ac, rbits3);
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arb_poly_add(bc, b, c, rbits3);
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arb_poly_mullow_block(abc2, a, bc, trunc, rbits3);
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if (!arb_poly_overlaps(abc, abc2))
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{
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printf("FAIL (a*(b+c) = a*b + a*c) \n\n");
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printf("bits3 = %ld\n", rbits3);
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printf("trunc = %ld\n", trunc);
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printf("a = "); arb_poly_printd(a, 15); printf("\n\n");
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printf("b = "); arb_poly_printd(b, 15); printf("\n\n");
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printf("c = "); arb_poly_printd(c, 15); printf("\n\n");
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abort();
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}
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/* check (b+c)^2 = b^2 + 2bc + c^2 */
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arb_poly_mullow_block(a, b, c, trunc, rbits3);
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arb_poly_scalar_mul_2exp_si(a, a, 1);
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arb_poly_mullow_block(abc, b, b, trunc, rbits3);
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arb_poly_mullow_block(abc2, c, c, trunc, rbits3);
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arb_poly_add(abc, abc, a, rbits3);
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arb_poly_add(abc, abc, abc2, rbits3);
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arb_poly_mullow_block(abc2, bc, bc, trunc, rbits3);
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if (!arb_poly_overlaps(abc, abc2))
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{
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printf("FAIL ((b+c)^2 = b^2 + 2bc + c^2) \n\n");
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printf("bits3 = %ld\n", rbits3);
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printf("trunc = %ld\n", trunc);
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printf("b = "); arb_poly_printd(b, 15); printf("\n\n");
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printf("c = "); arb_poly_printd(c, 15); printf("\n\n");
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printf("abc = "); arb_poly_printd(abc, 15); printf("\n\n");
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printf("abc2 = "); arb_poly_printd(abc2, 15); printf("\n\n");
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abort();
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}
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arb_poly_clear(a);
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arb_poly_clear(b);
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arb_poly_clear(c);
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arb_poly_clear(ab);
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arb_poly_clear(ac);
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arb_poly_clear(bc);
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arb_poly_clear(abc);
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arb_poly_clear(abc2);
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}
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flint_randclear(state);
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flint_cleanup();
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printf("PASS\n");
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return EXIT_SUCCESS;
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}
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