mirror of
https://github.com/vale981/arb
synced 2025-03-05 09:21:38 -05:00
6bf072eb59
This will allow us to not loose the julia session on error. See also https://github.com/wbhart/flint2/pull/243
129 lines
3.7 KiB
C
129 lines
3.7 KiB
C
/*
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Copyright (C) 2015 Arb authors
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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 it under
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the terms of the GNU Lesser General Public License (LGPL) as published
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by the Free Software Foundation; either version 2.1 of the License, or
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(at your option) any later version. See <http://www.gnu.org/licenses/>.
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*/
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#include "acb_mat.h"
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int main()
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{
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slong iter;
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flint_rand_t state;
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flint_printf("trace....");
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fflush(stdout);
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flint_randinit(state);
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/* check that the acb trace contains the fmpq trace */
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for (iter = 0; iter < 10000 * arb_test_multiplier(); iter++)
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{
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fmpq_mat_t Q;
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fmpq_t Qtrace;
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acb_mat_t A;
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acb_t Atrace;
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slong n, qbits, prec;
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n = n_randint(state, 8);
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qbits = 1 + n_randint(state, 100);
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prec = 2 + n_randint(state, 200);
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fmpq_mat_init(Q, n, n);
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fmpq_init(Qtrace);
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acb_mat_init(A, n, n);
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acb_init(Atrace);
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fmpq_mat_randtest(Q, state, qbits);
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fmpq_mat_trace(Qtrace, Q);
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acb_mat_set_fmpq_mat(A, Q, prec);
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acb_mat_trace(Atrace, A, prec);
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if (!acb_contains_fmpq(Atrace, Qtrace))
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{
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flint_printf("FAIL (containment, iter = %wd)\n", iter);
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flint_printf("n = %wd, prec = %wd\n", n, prec);
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flint_printf("\n");
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flint_printf("Q = \n"); fmpq_mat_print(Q); flint_printf("\n\n");
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flint_printf("Qtrace = \n"); fmpq_print(Qtrace); flint_printf("\n\n");
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flint_printf("A = \n"); acb_mat_printd(A, 15); flint_printf("\n\n");
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flint_printf("Atrace = \n"); acb_printd(Atrace, 15); flint_printf("\n\n");
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flint_printf("Atrace = \n"); acb_print(Atrace); flint_printf("\n\n");
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flint_abort();
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}
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fmpq_mat_clear(Q);
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fmpq_clear(Qtrace);
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acb_mat_clear(A);
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acb_clear(Atrace);
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}
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/* check trace(A*B) = trace(B*A) */
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for (iter = 0; iter < 10000 * arb_test_multiplier(); iter++)
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{
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slong m, n, prec;
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acb_mat_t a, b, ab, ba;
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acb_t trab, trba;
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prec = 2 + n_randint(state, 200);
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m = n_randint(state, 10);
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n = n_randint(state, 10);
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acb_mat_init(a, m, n);
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acb_mat_init(b, n, m);
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acb_mat_init(ab, m, m);
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acb_mat_init(ba, n, n);
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acb_init(trab);
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acb_init(trba);
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acb_mat_randtest(a, state, 2 + n_randint(state, 100), 10);
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acb_mat_randtest(b, state, 2 + n_randint(state, 100), 10);
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acb_mat_mul(ab, a, b, prec);
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acb_mat_mul(ba, b, a, prec);
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acb_mat_trace(trab, ab, prec);
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acb_mat_trace(trba, ba, prec);
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if (!acb_overlaps(trab, trba))
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{
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flint_printf("FAIL (overlap, iter = %wd)\n", iter);
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flint_printf("m = %wd, n = %wd, prec = %wd\n", m, n, prec);
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flint_printf("\n");
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flint_printf("a = \n"); acb_mat_printd(a, 15); flint_printf("\n\n");
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flint_printf("b = \n"); acb_mat_printd(b, 15); flint_printf("\n\n");
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flint_printf("ab = \n"); acb_mat_printd(ab, 15); flint_printf("\n\n");
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flint_printf("ba = \n"); acb_mat_printd(ba, 15); flint_printf("\n\n");
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flint_printf("trace(ab) = \n"); acb_printd(trab, 15); flint_printf("\n\n");
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flint_printf("trace(ba) = \n"); acb_printd(trba, 15); flint_printf("\n\n");
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flint_abort();
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}
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acb_clear(trab);
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acb_clear(trba);
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acb_mat_clear(a);
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acb_mat_clear(b);
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acb_mat_clear(ab);
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acb_mat_clear(ba);
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}
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flint_randclear(state);
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flint_cleanup();
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flint_printf("PASS\n");
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return EXIT_SUCCESS;
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}
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