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48 lines
1.3 KiB
C
48 lines
1.3 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_diag_prod(acb_t res, const acb_mat_t A, slong a, slong b, slong prec)
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{
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if (b - a == 0)
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acb_one(res);
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else if (b - a == 1)
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acb_set_round(res, acb_mat_entry(A, a, a), prec);
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else if (b - a == 2)
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acb_mul(res, acb_mat_entry(A, a, a), acb_mat_entry(A, a + 1, a + 1), prec);
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else if (b - a == 3)
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{
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acb_mul(res, acb_mat_entry(A, a, a), acb_mat_entry(A, a + 1, a + 1), prec);
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acb_mul(res, res, acb_mat_entry(A, a + 2, a + 2), prec);
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}
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else
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{
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acb_t t;
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acb_init(t);
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_acb_mat_diag_prod(t, A, a, a + (b - a) / 2, prec);
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_acb_mat_diag_prod(res, A, a + (b - a) / 2, b, prec);
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acb_mul(res, res, t, prec);
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acb_clear(t);
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}
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}
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void
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acb_mat_diag_prod(acb_t res, const acb_mat_t A, slong prec)
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{
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slong m, n;
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m = acb_mat_nrows(A);
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n = acb_mat_nrows(A);
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_acb_mat_diag_prod(res, A, 0, FLINT_MIN(m, n), prec);
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}
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