mirror of
https://github.com/vale981/arb
synced 2025-03-04 17:01:40 -05:00
58 lines
1.5 KiB
C
58 lines
1.5 KiB
C
/*
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Copyright (C) 2018 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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void
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acb_mat_randtest_eig(acb_mat_t A, flint_rand_t state, acb_srcptr E, slong prec)
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{
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slong n, i, j, ebits;
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acb_mat_t U, Q;
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n = acb_mat_nrows(A);
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ebits = 1 + n_randint(state, 5);
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acb_mat_init(U, n, n);
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acb_mat_init(Q, n, n);
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/* Skew-Hermitian matrix */
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acb_mat_randtest(Q, state, prec, 1);
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if (n_randint(state, 2))
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acb_mat_get_mid(Q, Q);
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for (i = 0; i < n; i++)
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{
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for (j = i + 1; j < n; j++)
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{
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acb_neg(acb_mat_entry(Q, i, j), acb_mat_entry(Q, j, i));
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acb_conj(acb_mat_entry(Q, i, j), acb_mat_entry(Q, i, j));
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}
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arb_zero(acb_realref(acb_mat_entry(Q, i, i)));
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}
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acb_mat_exp(Q, Q, prec);
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acb_mat_randtest(U, state, prec, ebits);
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if (n_randint(state, 2))
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acb_mat_get_mid(U, U);
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for (i = 0; i < n; i++)
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for (j = 0; j < i; j++)
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acb_zero(acb_mat_entry(U, i, j));
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for (i = 0; i < n; i++)
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acb_set(acb_mat_entry(U, i, i), E + i);
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acb_mat_mul(U, Q, U, prec);
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acb_mat_conjugate_transpose(Q, Q);
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acb_mat_mul(A, U, Q, prec);
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acb_mat_clear(U);
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acb_mat_clear(Q);
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}
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