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>
date Mon, 06 Jan 2020 22:29:51 -0500
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children bd51beb6205e
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1 /*
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2
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1891570abac8 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
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8
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9 This file is part of Octave.
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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.
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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.
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20
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21 You should have received a copy of the GNU General Public License
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22 along with Octave; see the file COPYING. If not, see
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23 <https://www.gnu.org/licenses/>.
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24
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25 */
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26
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27 #if defined (HAVE_CONFIG_H)
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28 # include "config.h"
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29 #endif
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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
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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"
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40 #include "utils.h"
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41
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42 #if defined (OCTAVE_ENABLE_64)
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43 # define CXSPARSE_NAME(name) cs_dl ## name
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44 #else
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45 # define CXSPARSE_NAME(name) cs_di ## name
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46 #endif
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47
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48 #if defined (HAVE_CXSPARSE)
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49
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50 static RowVector
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51 put_int (octave::suitesparse_integer *p, octave_idx_type n)
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52 {
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53 RowVector ret (n);
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54 for (octave_idx_type i = 0; i < n; i++)
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55 ret.xelem (i) = p[i] + 1;
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56 return ret;
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57 }
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58
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59 static octave_value_list
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60 dmperm_internal (bool rank, const octave_value arg, int nargout)
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61 {
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62 octave_value_list retval;
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63 octave_idx_type nr = arg.rows ();
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64 octave_idx_type nc = arg.columns ();
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65 SparseMatrix m;
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66 SparseComplexMatrix cm;
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67 CXSPARSE_NAME () csm;
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68 csm.m = nr;
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69 csm.n = nc;
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70 csm.x = nullptr;
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71 csm.nz = -1;
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72
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73 if (arg.isreal ())
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74 {
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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 ());
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79 }
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80 else
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81 {
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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 ());
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86 }
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87
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88 if (nargout <= 1 || rank)
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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 }
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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);
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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);
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113 }
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114
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115 return retval;
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116 }
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117
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118 #endif
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119
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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 */)
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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 ();
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148
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149 return dmperm_internal (false, args(0), nargout);
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150
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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
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158 #endif
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159 }
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160
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161 /*
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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));
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167
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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));
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175 */
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176
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177 DEFUN_DLD (sprank, args, nargout,
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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 */)
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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 ();
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196
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197 return dmperm_internal (true, args(0), nargout);
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198
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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
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206 #endif
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207 }
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208
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209 /*
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210 %!testif HAVE_CXSPARSE
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211 %! assert (sprank (speye (20)), 20);
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212 %!testif HAVE_CXSPARSE
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213 %! assert (sprank ([1,0,2,0;2,0,4,0]), 2);
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214
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215 %!error sprank (1,2)
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216 */