mirror of
https://github.com/vale981/arb
synced 2025-03-06 01:41:39 -05:00
72 lines
2 KiB
C
72 lines
2 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) 2016 Arb authors
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******************************************************************************/
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#include "arb_mat.h"
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int
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arb_mat_spd_det(arb_t det, const arb_mat_t A, slong prec)
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{
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slong n;
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if (!arb_mat_is_square(A))
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{
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flint_printf("arb_mat_spd_det: a square matrix is required!\n");
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abort();
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}
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if (arb_mat_is_empty(A))
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{
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arb_one(det);
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return 1;
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}
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n = arb_mat_nrows(A);
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if (n == 1)
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{
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arb_set(det, arb_mat_entry(A, 0, 0));
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return arb_is_positive(det);
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}
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else
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{
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int result;
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arb_mat_t L;
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arb_mat_init(L, n, n);
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result = arb_mat_cho(L, A, prec);
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if (result)
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{
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slong i;
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arb_set(det, arb_mat_entry(L, 0, 0));
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for (i = 1; i < n; i++)
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{
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arb_mul(det, det, arb_mat_entry(L, i, i), prec);
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}
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arb_mul(det, det, det, prec);
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}
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arb_mat_clear(L);
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return result;
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}
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}
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