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https://github.com/vale981/arb
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Merge pull request #107 from argriffing/remove-fmpz-mat-extras
MAINT: remove fmpz_mat_extras
This commit is contained in:
commit
61d789b24f
4 changed files with 1 additions and 374 deletions
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@ -14,7 +14,7 @@ AT=@
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BUILD_DIRS = fmpr arf mag arb arb_mat arb_poly arb_calc acb acb_mat acb_poly \
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acb_calc acb_hypgeom acb_modular acb_dirichlet bernoulli hypgeom \
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fmpz_extras fmpz_mat_extras bool_mat partitions \
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fmpz_extras bool_mat partitions \
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$(EXTRA_BUILD_DIRS)
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TEMPLATE_DIRS =
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@ -1,43 +0,0 @@
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/*=============================================================================
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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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#ifndef FMPZ_MAT_EXTRAS_H
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#define FMPZ_MAT_EXTRAS_H
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#include "flint/flint.h"
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#include "flint/fmpz_mat.h"
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#ifdef __cplusplus
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extern "C" {
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#endif
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void fmpz_mat_transitive_closure(fmpz_mat_t dest, const fmpz_mat_t src);
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#ifdef __cplusplus
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}
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#endif
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#endif
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@ -1,265 +0,0 @@
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/*=============================================================================
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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 "fmpz_mat_extras.h"
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#include "flint/perm.h"
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/* transitive closure can only turn zeros into ones */
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int
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_transitive_closure_is_ok_entrywise(const fmpz_mat_t X, const fmpz_mat_t Y)
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{
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slong i, j;
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if (fmpz_mat_nrows(X) != fmpz_mat_nrows(Y) ||
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fmpz_mat_ncols(X) != fmpz_mat_ncols(Y))
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{
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return 0;
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}
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for (i = 0; i < fmpz_mat_nrows(X); i++)
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{
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for (j = 0; j < fmpz_mat_ncols(X); j++)
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{
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if (!fmpz_equal(
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fmpz_mat_entry(X, i, j),
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fmpz_mat_entry(Y, i, j)))
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{
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if (!fmpz_is_zero(fmpz_mat_entry(X, i, j)))
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{
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return 0;
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}
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if (!fmpz_is_one(fmpz_mat_entry(Y, i, j)))
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{
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return 0;
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}
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}
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}
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}
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return 1;
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}
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/* permute rows and columns of a square matrix */
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void
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_fmpz_mat_permute(fmpz_mat_t B, const fmpz_mat_t A, const slong *perm)
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{
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slong n, i, j;
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if (!fmpz_mat_is_square(A)) abort();
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if (A == B) abort();
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n = fmpz_mat_nrows(A);
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for (i = 0; i < n; i++)
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{
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for (j = 0; j < n; j++)
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{
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fmpz_set(
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fmpz_mat_entry(B, perm[i], perm[j]),
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fmpz_mat_entry(A, i, j));
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}
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}
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}
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/* remove all non-sparsity information from an fmpz matrix */
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void
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_fmpz_mat_entrywise_not_is_zero(fmpz_mat_t B, const fmpz_mat_t A)
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{
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slong i, j;
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for (i = 0; i < fmpz_mat_nrows(A); i++)
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{
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for (j = 0; j < fmpz_mat_ncols(A); j++)
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{
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if (fmpz_is_zero(fmpz_mat_entry(A, i, j)))
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{
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fmpz_zero(fmpz_mat_entry(B, i, j));
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}
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else
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{
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fmpz_one(fmpz_mat_entry(B, i, j));
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}
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}
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}
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}
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/* this is not efficient */
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void
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_brute_force_transitive_closure(fmpz_mat_t B, const fmpz_mat_t A)
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{
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slong n, k;
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fmpz_mat_t S, curr, accum;
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n = fmpz_mat_nrows(A);
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fmpz_mat_init(S, n, n);
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fmpz_mat_init(curr, n, n);
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fmpz_mat_init(accum, n, n);
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_fmpz_mat_entrywise_not_is_zero(S, A);
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fmpz_mat_one(curr);
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fmpz_mat_zero(accum);
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for (k = 0; k < n; k++)
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{
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fmpz_mat_mul(curr, curr, S);
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fmpz_mat_add(accum, accum, curr);
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}
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fmpz_mat_clear(S);
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fmpz_mat_clear(curr);
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{
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slong i, j;
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for (i = 0; i < n; i++)
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{
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for (j = 0; j < n; j++)
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{
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if (fmpz_is_zero(fmpz_mat_entry(A, i, j)) &&
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!fmpz_is_zero(fmpz_mat_entry(accum, i, j)))
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{
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fmpz_one(fmpz_mat_entry(B, i, j));
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}
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else
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{
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fmpz_set(fmpz_mat_entry(B, i, j),
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fmpz_mat_entry(A, i, j));
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}
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}
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}
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}
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fmpz_mat_clear(accum);
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}
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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("transitive_closure....");
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fflush(stdout);
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flint_randinit(state);
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for (iter = 0; iter < 1000; iter++)
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{
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slong m;
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fmpz_mat_t A, B, C, D;
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m = n_randint(state, 50);
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fmpz_mat_init(A, m, m);
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fmpz_mat_init(B, m, m);
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fmpz_mat_init(C, m, m);
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fmpz_mat_init(D, m, m);
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fmpz_mat_randtest(A, state, n_randint(state, 20) + 1);
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fmpz_mat_randtest(B, state, n_randint(state, 20) + 1);
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fmpz_mat_transitive_closure(B, A);
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/* test local properties of the closure */
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if (!_transitive_closure_is_ok_entrywise(A, B))
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{
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flint_printf("FAIL (entrywise)\n");
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fmpz_mat_print_pretty(A); flint_printf("\n\n");
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fmpz_mat_print_pretty(B); flint_printf("\n\n");
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abort();
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}
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/* test aliasing */
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{
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fmpz_mat_set(C, A);
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fmpz_mat_transitive_closure(C, C);
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if (!fmpz_mat_equal(B, C))
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{
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flint_printf("FAIL (aliasing)\n");
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fmpz_mat_print_pretty(A); flint_printf("\n\n");
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fmpz_mat_print_pretty(B); flint_printf("\n\n");
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fmpz_mat_print_pretty(C); flint_printf("\n\n");
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abort();
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}
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}
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/* test commutativity of permutation with transitive closure */
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{
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slong *perm;
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perm = flint_malloc(m * sizeof(slong));
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_perm_randtest(perm, m, state);
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/* C is the transitive closure of the permutation of A */
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fmpz_mat_randtest(C, state, n_randint(state, 20) + 1);
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_fmpz_mat_permute(C, A, perm);
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fmpz_mat_transitive_closure(C, C);
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/* D is the permutation of the transitive closure of A */
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fmpz_mat_randtest(D, state, n_randint(state, 20) + 1);
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_fmpz_mat_permute(D, B, perm);
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if (!fmpz_mat_equal(C, D))
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{
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flint_printf("FAIL (commutativity with permutation)\n");
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fmpz_mat_print_pretty(A); flint_printf("\n\n");
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fmpz_mat_print_pretty(B); flint_printf("\n\n");
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fmpz_mat_print_pretty(C); flint_printf("\n\n");
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fmpz_mat_print_pretty(D); flint_printf("\n\n");
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abort();
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}
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flint_free(perm);
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}
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fmpz_mat_clear(A);
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fmpz_mat_clear(B);
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fmpz_mat_clear(C);
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fmpz_mat_clear(D);
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}
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/* check transitive closure using brute force with smallish matrices */
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for (iter = 0; iter < 1000; iter++)
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{
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slong m;
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fmpz_mat_t A, B, C;
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m = n_randint(state, 10);
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fmpz_mat_init(A, m, m);
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fmpz_mat_init(B, m, m);
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fmpz_mat_init(C, m, m);
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fmpz_mat_randtest(A, state, n_randint(state, 20) + 1);
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fmpz_mat_randtest(B, state, n_randint(state, 20) + 1);
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fmpz_mat_randtest(C, state, n_randint(state, 20) + 1);
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fmpz_mat_transitive_closure(B, A);
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_brute_force_transitive_closure(C, A);
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if (!fmpz_mat_equal(B, C))
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{
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flint_printf("FAIL (brute force)\n");
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fmpz_mat_print_pretty(A); flint_printf("\n\n");
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fmpz_mat_print_pretty(B); flint_printf("\n\n");
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fmpz_mat_print_pretty(C); flint_printf("\n\n");
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abort();
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}
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fmpz_mat_clear(A);
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fmpz_mat_clear(B);
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fmpz_mat_clear(C);
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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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@ -1,65 +0,0 @@
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/*=============================================================================
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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 "fmpz_mat_extras.h"
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/* Warshall's algorithm */
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void
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fmpz_mat_transitive_closure(fmpz_mat_t dest, const fmpz_mat_t src)
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{
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slong k, i, j, dim;
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if (fmpz_mat_nrows(dest) != fmpz_mat_nrows(src) ||
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fmpz_mat_ncols(dest) != fmpz_mat_ncols(src))
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{
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flint_printf("fmpz_mat_transitive_closure: incompatible dimensions\n");
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abort();
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}
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dim = fmpz_mat_nrows(src);
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if (dim != fmpz_mat_ncols(src))
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{
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flint_printf("fmpz_mat_transitive_closure: a square matrix is required!\n");
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abort();
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}
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fmpz_mat_set(dest, src);
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for (k = 0; k < dim; k++)
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{
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for (i = 0; i < dim; i++)
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{
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for (j = 0; j < dim; j++)
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{
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if (fmpz_is_zero(fmpz_mat_entry(dest, i, j)) &&
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!fmpz_is_zero(fmpz_mat_entry(dest, i, k)) &&
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!fmpz_is_zero(fmpz_mat_entry(dest, k, j)))
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{
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fmpz_one(fmpz_mat_entry(dest, i, j));
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}
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}
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}
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}
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}
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