mirror of
https://github.com/vale981/arb
synced 2025-03-06 01:41:39 -05:00
85 lines
2.3 KiB
C
85 lines
2.3 KiB
C
/*
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Copyright (C) 2016 Fredrik Johansson
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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("exp_sum_taylor....");
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fflush(stdout);
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flint_randinit(state);
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for (iter = 0; iter < 500 * arb_test_multiplier(); iter++)
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{
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acb_mat_t A, S1, S2, S3;
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fmpz_t f;
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slong n, N, prec1, prec2;
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n = n_randint(state, 5);
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N = n_randint(state, 40);
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prec1 = 2 + n_randint(state, 200);
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prec2 = 2 + n_randint(state, 200);
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acb_mat_init(A, n, n);
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acb_mat_init(S1, n, n);
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acb_mat_init(S2, n, n);
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acb_mat_init(S3, n, n);
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fmpz_init(f);
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acb_mat_randtest(A, state, prec1, 10);
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acb_mat_randtest(S1, state, prec1, 10);
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acb_mat_randtest(S2, state, prec1, 10);
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acb_mat_exp_taylor_sum(S1, A, N, prec1);
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acb_mat_exp_taylor_sum(S2, A, N + 1, prec2);
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acb_mat_pow_ui(S3, A, N, prec2);
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fmpz_fac_ui(f, N);
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acb_mat_scalar_div_fmpz(S3, S3, f, prec2);
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acb_mat_add(S3, S3, S1, prec2);
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if (!acb_mat_overlaps(S2, S3))
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{
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flint_printf("FAIL\n\n");
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flint_printf("n = %wd, N = %wd\n", 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("S1 = \n"); acb_mat_printd(S1, 15); flint_printf("\n\n");
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flint_printf("S2 = \n"); acb_mat_printd(S2, 15); flint_printf("\n\n");
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flint_printf("S3 = \n"); acb_mat_printd(S3, 15); flint_printf("\n\n");
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abort();
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}
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acb_mat_exp_taylor_sum(A, A, N, prec1);
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if (!acb_mat_overlaps(A, S1))
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{
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flint_printf("FAIL (aliasing)\n\n");
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abort();
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}
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acb_mat_clear(A);
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acb_mat_clear(S1);
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acb_mat_clear(S2);
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acb_mat_clear(S3);
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fmpz_clear(f);
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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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