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https://github.com/vale981/arb
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MAINT: rename functions and clarify docs
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parent
260c530197
commit
25e3594704
6 changed files with 118 additions and 40 deletions
17
arb_mat.h
17
arb_mat.h
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@ -301,22 +301,21 @@ void arb_mat_trace(arb_t trace, const arb_mat_t mat, slong prec);
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/* Sparsity structure */
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void _arb_mat_entrywise_nonzero_round_up(fmpz_mat_t A, const arb_mat_t src);
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void arb_mat_entrywise_is_zero(fmpz_mat_t dest, const arb_mat_t src);
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ARB_MAT_INLINE void
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arb_mat_adjacency(fmpz_mat_t A, const arb_mat_t src)
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{
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_arb_mat_entrywise_nonzero_round_up(A, src);
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}
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void arb_mat_entrywise_not_is_zero(fmpz_mat_t dest, const arb_mat_t src);
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slong _arb_mat_count_nonzero_round_up(const arb_mat_t src);
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slong arb_mat_count_is_zero(const arb_mat_t mat);
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ARB_MAT_INLINE slong
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arb_mat_count_nonzero(const arb_mat_t src)
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arb_mat_count_not_is_zero(const arb_mat_t mat)
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{
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return _arb_mat_count_nonzero_round_up(src);
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slong size;
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size = arb_mat_nrows(mat) * arb_mat_ncols(mat);
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return size - arb_mat_count_is_zero(mat);
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}
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#ifdef __cplusplus
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}
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#endif
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45
arb_mat/count_is_zero.c
Normal file
45
arb_mat/count_is_zero.c
Normal file
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@ -0,0 +1,45 @@
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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 FLINT; 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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slong
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arb_mat_count_is_zero(const arb_mat_t mat)
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{
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slong nz;
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slong i, j;
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nz = 0;
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for (i = 0; i < arb_mat_nrows(mat); i++)
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{
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for (j = 0; j < arb_mat_ncols(mat); j++)
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{
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if (arb_is_zero(arb_mat_entry(mat, i, j)))
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{
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nz++;
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}
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}
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}
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return nz;
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}
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43
arb_mat/entrywise_is_zero.c
Normal file
43
arb_mat/entrywise_is_zero.c
Normal file
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@ -0,0 +1,43 @@
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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 FLINT; 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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void
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_arb_mat_entrywise_is_zero(fmpz_mat_t dest, const arb_mat_t src)
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{
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slong i, j;
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fmpz_mat_zero(dest);
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for (i = 0; i < arb_mat_nrows(src); i++)
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{
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for (j = 0; j < arb_mat_ncols(src); j++)
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{
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if (arb_is_zero(arb_mat_entry(src, i, 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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@ -26,37 +26,18 @@
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#include "arb_mat.h"
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void
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_arb_mat_entrywise_nonzero_round_up(fmpz_mat_t A, const arb_mat_t src)
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arb_mat_entrywise_not_is_zero(fmpz_mat_t dest, const arb_mat_t src)
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{
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slong i, j;
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fmpz_mat_zero(A);
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fmpz_mat_zero(dest);
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for (i = 0; i < arb_mat_nrows(src); i++)
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{
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for (j = 0; j < arb_mat_ncols(src); j++)
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{
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if (!arb_is_zero(arb_mat_entry(src, i, j)))
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{
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fmpz_one(fmpz_mat_entry(A, i, j));
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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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slong
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_arb_mat_count_nonzero_round_up(const arb_mat_t src)
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{
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slong nnz;
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slong i, j;
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nnz = 0;
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for (i = 0; i < arb_mat_nrows(src); i++)
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{
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for (j = 0; j < arb_mat_ncols(src); j++)
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{
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if (!arb_is_zero(arb_mat_entry(src, i, j)))
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{
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nnz++;
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}
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}
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}
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return nnz;
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}
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@ -270,11 +270,11 @@ arb_mat_exp(arb_mat_t B, const arb_mat_t A, slong prec)
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fmpz_mat_t S;
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int using_structure;
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using_structure = arb_mat_count_nonzero(A) < dim * dim;
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using_structure = arb_mat_count_is_zero(A) > 0;
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if (using_structure)
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{
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fmpz_mat_init(S, dim, dim);
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arb_mat_adjacency(S, A);
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arb_mat_entrywise_not_is_zero(S, A);
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_fmpz_mat_transitive_closure(S, S);
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}
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@ -328,15 +328,25 @@ Special functions
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Sparsity structure
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-------------------------------------------------------------------------------
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.. function:: void _arb_mat_entrywise_nonzero_round_up(fmpz_mat_t A, const arb_mat_t src)
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.. function:: void arb_mat_entrywise_is_zero(fmpz_mat_t dest, const arb_mat_t src)
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.. function:: void arb_mat_adjacency(fmpz_mat_t A, const arb_mat_t src)
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Sets each entry of *dest* to indicate whether the corresponding
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entry of *src* is certainly zero.
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If the entry of *src* at row `i` and column `j` is zero according to
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:func:`arb_is_zero` then the entry of *dest* at that row and column
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is set to one, otherwise that entry of *dest* is set to zero.
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Each entry of *A* is set to 0 or 1 depending on whether or not
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the corresponding entry of *src* is zero.
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.. function:: void arb_mat_entrywise_not_is_zero(fmpz_mat_t dest, const arb_mat_t src)
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.. function:: slong _arb_mat_count_nonzero_round_up(const arb_mat_t src)
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Sets each entry of *dest* to indicate whether the corresponding
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entry of *src* is not certainly zero.
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This the complement of :func:`arb_mat_entrywise_is_zero`.
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.. function:: slong arb_mat_count_nonzero(const arb_mat_t src)
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.. function:: slong arb_mat_count_is_zero(const arb_mat_t mat)
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Returns the number of nonzero entries of the matrix.
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Returns the number of entries of *mat* that are certainly zero
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according to :func:`arb_is_zero`.
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.. function:: slong arb_mat_count_not_is_zero(const arb_mat_t mat)
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Returns the number of entries of *mat* that are not certainly zero.
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