Mercurial > octave
annotate libinterp/dldfcn/dmperm.cc @ 27919:1891570abac8
update Octave Project Developers copyright for the new year
In files that have the "Octave Project Developers" copyright notice,
update for 2020.
author | John W. Eaton <jwe@octave.org> |
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date | Mon, 06 Jan 2020 22:29:51 -0500 |
parents | b442ec6dda5c |
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5610 | 1 /* |
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27919
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update Octave Project Developers copyright for the new year
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3 Copyright (C) 1998-2020 The Octave Project Developers |
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4 |
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5 See the file COPYRIGHT.md in the top-level directory of this distribution |
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6 or <https://octave.org/COPYRIGHT.html/>. |
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7 |
7016 | 8 |
9 This file is part of Octave. | |
5610 | 10 |
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11 Octave is free software: you can redistribute it and/or modify it |
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12 under the terms of the GNU General Public License as published by |
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13 the Free Software Foundation, either version 3 of the License, or |
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14 (at your option) any later version. |
5610 | 15 |
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16 Octave is distributed in the hope that it will be useful, but |
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17 WITHOUT ANY WARRANTY; without even the implied warranty of |
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18 MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the |
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19 GNU General Public License for more details. |
5610 | 20 |
21 You should have received a copy of the GNU General Public License | |
7016 | 22 along with Octave; see the file COPYING. If not, see |
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23 <https://www.gnu.org/licenses/>. |
5610 | 24 |
25 */ | |
26 | |
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27 #if defined (HAVE_CONFIG_H) |
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28 # include "config.h" |
5610 | 29 #endif |
30 | |
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31 #include "CSparse.h" |
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32 #include "dRowVector.h" |
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33 #include "dSparse.h" |
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34 #include "oct-sparse.h" |
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35 |
5610 | 36 #include "defun-dld.h" |
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37 #include "errwarn.h" |
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38 #include "ov.h" |
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39 #include "ovl.h" |
5610 | 40 #include "utils.h" |
41 | |
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42 #if defined (OCTAVE_ENABLE_64) |
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43 # define CXSPARSE_NAME(name) cs_dl ## name |
5610 | 44 #else |
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45 # define CXSPARSE_NAME(name) cs_di ## name |
5610 | 46 #endif |
47 | |
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48 #if defined (HAVE_CXSPARSE) |
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49 |
5610 | 50 static RowVector |
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51 put_int (octave::suitesparse_integer *p, octave_idx_type n) |
5610 | 52 { |
53 RowVector ret (n); | |
54 for (octave_idx_type i = 0; i < n; i++) | |
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55 ret.xelem (i) = p[i] + 1; |
5610 | 56 return ret; |
57 } | |
58 | |
6066 | 59 static octave_value_list |
60 dmperm_internal (bool rank, const octave_value arg, int nargout) | |
5610 | 61 { |
62 octave_value_list retval; | |
63 octave_idx_type nr = arg.rows (); | |
64 octave_idx_type nc = arg.columns (); | |
65 SparseMatrix m; | |
66 SparseComplexMatrix cm; | |
5648 | 67 CXSPARSE_NAME () csm; |
5610 | 68 csm.m = nr; |
69 csm.n = nc; | |
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70 csm.x = nullptr; |
5610 | 71 csm.nz = -1; |
72 | |
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73 if (arg.isreal ()) |
5610 | 74 { |
75 m = arg.sparse_matrix_value (); | |
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76 csm.nzmax = m.nnz (); |
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77 csm.p = octave::to_suitesparse_intptr (m.xcidx ()); |
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78 csm.i = octave::to_suitesparse_intptr (m.xridx ()); |
5610 | 79 } |
80 else | |
81 { | |
82 cm = arg.sparse_complex_matrix_value (); | |
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83 csm.nzmax = cm.nnz (); |
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84 csm.p = octave::to_suitesparse_intptr (cm.xcidx ()); |
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85 csm.i = octave::to_suitesparse_intptr (cm.xridx ()); |
5610 | 86 } |
87 | |
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88 if (nargout <= 1 || rank) |
5610 | 89 { |
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90 octave::suitesparse_integer *jmatch = CXSPARSE_NAME (_maxtrans) (&csm, 0); |
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91 if (rank) |
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92 { |
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93 octave_idx_type r = 0; |
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94 for (octave_idx_type i = 0; i < nc; i++) |
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95 if (jmatch[nr+i] >= 0) |
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96 r++; |
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97 retval(0) = static_cast<double> (r); |
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98 } |
5610 | 99 else |
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100 retval(0) = put_int (jmatch + nr, nc); |
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101 CXSPARSE_NAME (_free) (jmatch); |
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102 } |
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103 else |
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104 { |
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105 CXSPARSE_NAME (d) *dm = CXSPARSE_NAME(_dmperm) (&csm, 0); |
6066 | 106 |
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107 //retval(5) = put_int (dm->rr, 5); |
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108 //retval(4) = put_int (dm->cc, 5); |
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109 retval = ovl (put_int (dm->p, nr), put_int (dm->q, nc), |
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110 put_int (dm->r, dm->nb+1), put_int (dm->s, dm->nb+1)); |
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111 |
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112 CXSPARSE_NAME (_dfree) (dm); |
5610 | 113 } |
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114 |
6066 | 115 return retval; |
116 } | |
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117 |
6066 | 118 #endif |
119 | |
120 DEFUN_DLD (dmperm, args, nargout, | |
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121 doc: /* -*- texinfo -*- |
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122 @deftypefn {} {@var{p} =} dmperm (@var{S}) |
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123 @deftypefnx {} {[@var{p}, @var{q}, @var{r}, @var{S}] =} dmperm (@var{S}) |
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124 |
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125 @cindex @nospell{Dulmage-Mendelsohn} decomposition |
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126 Perform a @nospell{Dulmage-Mendelsohn} permutation of the sparse matrix |
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127 @var{S}. |
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128 |
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129 With a single output argument @code{dmperm} performs the row permutations |
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130 @var{p} such that @code{@var{S}(@var{p},:)} has no zero elements on the |
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131 diagonal. |
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132 |
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133 Called with two or more output arguments, returns the row and column |
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134 permutations, such that @code{@var{S}(@var{p}, @var{q})} is in block |
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135 triangular form. The values of @var{r} and @var{S} define the boundaries |
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136 of the blocks. If @var{S} is square then @code{@var{r} == @var{S}}. |
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137 |
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138 The method used is described in: @nospell{A. Pothen & C.-J. Fan.} |
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139 @cite{Computing the Block Triangular Form of a Sparse Matrix}. |
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140 @nospell{ACM} Trans.@: Math.@: Software, 16(4):303--324, 1990. |
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141 @seealso{colamd, ccolamd} |
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142 @end deftypefn */) |
6066 | 143 { |
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144 #if defined (HAVE_CXSPARSE) |
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145 |
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146 if (args.length () != 1) |
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147 print_usage (); |
6066 | 148 |
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149 return dmperm_internal (false, args(0), nargout); |
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150 |
5610 | 151 #else |
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152 |
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153 octave_unused_parameter (args); |
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154 octave_unused_parameter (nargout); |
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155 |
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156 err_disabled_feature ("dmperm", "CXSparse"); |
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157 |
5610 | 158 #endif |
159 } | |
160 | |
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161 /* |
7243 | 162 %!testif HAVE_CXSPARSE |
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163 %! n = 20; |
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164 %! a = speye (n,n); |
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165 %! a = a(randperm (n),:); |
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166 %! assert (a(dmperm (a),:), speye (n)); |
5610 | 167 |
7243 | 168 %!testif HAVE_CXSPARSE |
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169 %! n = 20; |
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170 %! d = 0.2; |
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171 %! a = tril (sprandn (n,n,d), -1) + speye (n,n); |
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172 %! a = a(randperm (n), randperm (n)); |
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173 %! [p,q,r,s] = dmperm (a); |
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174 %! assert (tril (a(p,q), -1), sparse (n, n)); |
5610 | 175 */ |
176 | |
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178 doc: /* -*- texinfo -*- |
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179 @deftypefn {} {@var{p} =} sprank (@var{S}) |
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180 @cindex structural rank |
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181 |
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182 Calculate the structural rank of the sparse matrix @var{S}. |
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183 |
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184 Note that only the structure of the matrix is used in this calculation based |
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185 on a @nospell{Dulmage-Mendelsohn} permutation to block triangular form. As |
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186 such the numerical rank of the matrix @var{S} is bounded by |
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187 @code{sprank (@var{S}) >= rank (@var{S})}. Ignoring floating point errors |
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188 @code{sprank (@var{S}) == rank (@var{S})}. |
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189 @seealso{dmperm} |
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190 @end deftypefn */) |
6066 | 191 { |
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192 #if defined (HAVE_CXSPARSE) |
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193 |
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194 if (args.length () != 1) |
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195 print_usage (); |
6066 | 196 |
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197 return dmperm_internal (true, args(0), nargout); |
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198 |
6066 | 199 #else |
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200 |
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201 octave_unused_parameter (args); |
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202 octave_unused_parameter (nargout); |
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203 |
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204 err_disabled_feature ("sprank", "CXSparse"); |
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205 |
6066 | 206 #endif |
207 } | |
208 | |
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209 /* |
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210 %!testif HAVE_CXSPARSE |
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211 %! assert (sprank (speye (20)), 20); |
7243 | 212 %!testif HAVE_CXSPARSE |
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213 %! assert (sprank ([1,0,2,0;2,0,4,0]), 2); |
6066 | 214 |
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215 %!error sprank (1,2) |
6066 | 216 */ |