annotate libinterp/corefcn/dmperm.cc @ 29958:32c3a5805893

move DEFUN and DEFMETHOD functions inside octave namespace * mk-opts.pl: Surround emitted function definitions with OCTAVE_NAMESPACE_BEGIN and OCTAVE_NAMESPACE_END tags. * mk-builtins.pl: Surround emitted function declarations with OCTAVE_NAMESPACE_BEGIN and OCTAVE_NAMESPACE_END tags. Emit deprecated global inline functions. * __betainc__.cc, __contourc__.cc, __dsearchn__.cc, __eigs__.cc, __expint__.cc, __ftp__.cc, __gammainc__.cc, __ichol__.cc, __ilu__.cc, __lin_interpn__.cc, __magick_read__.cc, __pchip_deriv__.cc, __qp__.cc, amd.cc, balance.cc, besselj.cc, bitfcns.cc, bsxfun.cc, call-stack.cc, ccolamd.cc, cellfun.cc, chol.cc, colamd.cc, colloc.cc, conv2.cc, daspk.cc, dasrt.cc, dassl.cc, data.cc, debug.cc, defaults.cc, defun.cc, det.cc, dirfns.cc, display.cc, dlmread.cc, dmperm.cc, dot.cc, eig.cc, ellipj.cc, environment.cc, error.cc, event-manager.cc, fcn-info.cc, fft.cc, fft2.cc, fftn.cc, file-io.cc, filter.cc, find.cc, gcd.cc, getgrent.cc, getpwent.cc, getrusage.cc, givens.cc, graphics.cc, gsvd.cc, hash.cc, help.cc, hess.cc, hex2num.cc, input.cc, interpreter.cc, inv.cc, jsondecode.cc, jsonencode.cc, kron.cc, load-path.cc, load-save.cc, lookup.cc, ls-oct-text.cc, lsode.cc, lu.cc, mappers.cc, matrix_type.cc, max.cc, mgorth.cc, nproc.cc, oct-hist.cc, ordqz.cc, ordschur.cc, pager.cc, pinv.cc, pr-flt-fmt.cc, pr-output.cc, psi.cc, qr.cc, quad.cc, quadcc.cc, qz.cc, rand.cc, rcond.cc, regexp.cc, schur.cc, settings.cc, sighandlers.cc, sparse.cc, spparms.cc, sqrtm.cc, stream-euler.cc, strfind.cc, strfns.cc, sub2ind.cc, svd.cc, sylvester.cc, symbfact.cc, symrcm.cc, symtab.cc, syscalls.cc, sysdep.cc, time.cc, toplev.cc, tril.cc, tsearch.cc, typecast.cc, urlwrite.cc, utils.cc, variables.cc, __delaunayn__.cc, __fltk_uigetfile__.cc, __glpk__.cc, __init_gnuplot__.cc, __ode15__.cc, __voronoi__.cc, audiodevinfo.cc, audioread.cc, convhulln.cc, fftw.cc, gzip.cc, ov-base.cc, ov-bool-mat.cc, ov-cell.cc, ov-class.cc, ov-classdef.cc, ov-fcn-handle.cc, ov-java.cc, ov-null-mat.cc, ov-oncleanup.cc, ov-struct.cc, ov-typeinfo.cc, ov-usr-fcn.cc, ov.cc, octave.cc, lex.ll, oct-parse.yy, profiler.cc, pt-eval.cc: Surround DEFUN and DEFMETHOD function defnitions with OCTAVE_NAMESPACE_BEGIN and OCTAVE_NAMESPACE_END tags.
author John W. Eaton <jwe@octave.org>
date Fri, 13 Aug 2021 21:53:51 -0400
parents 7854d5752dd2
children 7d6709900da7
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rev   line source
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1 ////////////////////////////////////////////////////////////////////////
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2 //
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3 // Copyright (C) 1998-2021 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
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6 // distribution or <https://octave.org/copyright/>.
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7 //
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8 // This file is part of Octave.
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9 //
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10 // Octave is free software: you can redistribute it and/or modify it
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11 // under the terms of the GNU General Public License as published by
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12 // the Free Software Foundation, either version 3 of the License, or
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13 // (at your option) any later version.
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14 //
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15 // Octave is distributed in the hope that it will be useful, but
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16 // WITHOUT ANY WARRANTY; without even the implied warranty of
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17 // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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18 // GNU General Public License for more details.
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19 //
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20 // You should have received a copy of the GNU General Public License
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21 // along with Octave; see the file COPYING. If not, see
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22 // <https://www.gnu.org/licenses/>.
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23 //
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24 ////////////////////////////////////////////////////////////////////////
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25
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26 #if defined (HAVE_CONFIG_H)
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27 # include "config.h"
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28 #endif
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29
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30 #include "CSparse.h"
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31 #include "dRowVector.h"
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32 #include "dSparse.h"
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33 #include "oct-sparse.h"
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34
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35 #include "defun.h"
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36 #include "errwarn.h"
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37 #include "ov.h"
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38 #include "ovl.h"
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39 #include "utils.h"
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40
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41 OCTAVE_NAMESPACE_BEGIN
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42
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43 #if defined (OCTAVE_ENABLE_64)
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44 # define CXSPARSE_NAME(name) cs_dl ## name
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45 #else
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46 # define CXSPARSE_NAME(name) cs_di ## name
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47 #endif
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48
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49 #if defined (HAVE_CXSPARSE)
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50
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51 static RowVector
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52 put_int (octave::suitesparse_integer *p, octave_idx_type n)
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53 {
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54 RowVector ret (n);
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55 for (octave_idx_type i = 0; i < n; i++)
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56 ret.xelem (i) = p[i] + 1;
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57 return ret;
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58 }
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59
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60 static octave_value_list
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61 dmperm_internal (bool rank, const octave_value arg, int nargout)
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62 {
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63 octave_value_list retval;
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64 octave_idx_type nr = arg.rows ();
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65 octave_idx_type nc = arg.columns ();
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66 SparseMatrix m;
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67 SparseComplexMatrix cm;
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68 CXSPARSE_NAME () csm;
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69 csm.m = nr;
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70 csm.n = nc;
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71 csm.x = nullptr;
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72 csm.nz = -1;
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73
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74 if (arg.isreal ())
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75 {
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76 m = arg.sparse_matrix_value ();
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77 csm.nzmax = m.nnz ();
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78 csm.p = octave::to_suitesparse_intptr (m.xcidx ());
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79 csm.i = octave::to_suitesparse_intptr (m.xridx ());
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80 }
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81 else
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82 {
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83 cm = arg.sparse_complex_matrix_value ();
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84 csm.nzmax = cm.nnz ();
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85 csm.p = octave::to_suitesparse_intptr (cm.xcidx ());
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86 csm.i = octave::to_suitesparse_intptr (cm.xridx ());
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87 }
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88
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89 if (nargout <= 1 || rank)
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90 {
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91 octave::suitesparse_integer *jmatch = CXSPARSE_NAME (_maxtrans) (&csm, 0);
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92 if (rank)
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93 {
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94 octave_idx_type r = 0;
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95 for (octave_idx_type i = 0; i < nc; i++)
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96 if (jmatch[nr+i] >= 0)
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97 r++;
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98 retval(0) = static_cast<double> (r);
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99 }
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100 else
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101 retval(0) = put_int (jmatch + nr, nc);
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102 CXSPARSE_NAME (_free) (jmatch);
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103 }
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104 else
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105 {
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106 CXSPARSE_NAME (d) *dm = CXSPARSE_NAME(_dmperm) (&csm, 0);
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107
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108 retval = ovl (put_int (dm->p, nr), put_int (dm->q, nc),
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109 put_int (dm->r, dm->nb+1), put_int (dm->s, dm->nb+1),
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110 put_int (dm->cc, 5), put_int (dm->rr, 5));
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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 // NOTE: the docstring for dmperm is adapted from the text found in the
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121 // file cs_dmperm.m that is distributed with the CSparse portion of the
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122 // SuiteSparse library, version 5.6.0. CSparse is distributed under the
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123 // terms of the LGPL v2.1 or any later version.
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124
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125 DEFUN (dmperm, args, nargout,
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126 doc: /* -*- texinfo -*-
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127 @deftypefn {} {@var{p} =} dmperm (@var{A})
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128 @deftypefnx {} {[@var{p}, @var{q}, @var{r}, @var{s}, @var{cc}, @var{rr}] =} dmperm (@var{A})
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129
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130 @cindex @nospell{Dulmage-Mendelsohn} decomposition
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131 Perform a @nospell{Dulmage-Mendelsohn} permutation of the sparse matrix
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132 @var{A}.
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133
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134 With a single output argument @code{dmperm}, return a maximum matching @var{p}
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135 such that @code{p(j) = i} if column @var{j} is matched to row @var{i}, or 0 if
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136 column @var{j} is unmatched. If @var{A} is square and full structural rank,
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137 @var{p} is a row permutation and @code{A(p,:)} has a zero-free diagonal. The
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138 structural rank of @var{A} is @code{sprank(A) = sum(p>0)}.
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139
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140 Called with two or more output arguments, return the
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141 @nospell{Dulmage-Mendelsohn} decomposition of @var{A}. @var{p} and @var{q} are
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142 permutation vectors. @var{cc} and @var{rr} are vectors of length 5.
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143 @code{c = A(p,q)} is split into a 4-by-4 set of coarse blocks:
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144
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145 @example
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146 @group
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147 A11 A12 A13 A14
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148 0 0 A23 A24
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149 0 0 0 A34
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150 0 0 0 A44
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151 @end group
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152 @end example
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153
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154 @noindent
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155 where @code{A12}, @code{A23}, and @code{A34} are square with zero-free
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156 diagonals. The columns of @code{A11} are the unmatched columns, and the rows
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157 of @code{A44} are the unmatched rows. Any of these blocks can be empty. In
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158 the "coarse" decomposition, the (i,j)-th block is
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159 @code{C(rr(i):rr(i+1)-1,cc(j):cc(j+1)-1)}. In terms of a linear system,
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160 @code{[A11 A12]} is the underdetermined part of the system (it is always
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161 rectangular and with more columns and rows, or 0-by-0), @code{A23} is the
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162 well-determined part of the system (it is always square), and
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163 @code{[A34 ; A44]} is the over-determined part of the system (it is always
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164 rectangular with more rows than columns, or 0-by-0).
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165
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166 The structural rank of @var{A} is @code{sprank (A) = rr(4)-1}, which is an
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167 upper bound on the numerical rank of @var{A}.
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168 @code{sprank(A) = rank(full(sprand(A)))} with probability 1 in exact
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169 arithmetic.
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170
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171 The @code{A23} submatrix is further subdivided into block upper triangular form
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172 via the "fine" decomposition (the strongly-connected components of @code{A23}).
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173 If @var{A} is square and structurally non-singular, @code{A23} is the entire
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174 matrix.
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175
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176 @code{C(r(i):r(i+1)-1,s(j):s(j+1)-1)} is the (i,j)-th block of the fine
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177 decomposition. The (1,1) block is the rectangular block @code{[A11 A12]},
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178 unless this block is 0-by-0. The (b,b) block is the rectangular block
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179 @code{[A34 ; A44]}, unless this block is 0-by-0, where @code{b = length(r)-1}.
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180 All other blocks of the form @code{C(r(i):r(i+1)-1,s(i):s(i+1)-1)} are diagonal
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181 blocks of @code{A23}, and are square with a zero-free diagonal.
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182
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183 The method used is described in: @nospell{A. Pothen & C.-J. Fan.}
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184 @cite{Computing the Block Triangular Form of a Sparse Matrix}.
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185 @nospell{ACM} Trans.@: Math.@: Software, 16(4):303--324, 1990.
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186 @seealso{colamd, ccolamd}
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187 @end deftypefn */)
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188 {
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189 #if defined (HAVE_CXSPARSE)
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190
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191 if (args.length () != 1)
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192 print_usage ();
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193
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194 return dmperm_internal (false, args(0), nargout);
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195
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196 #else
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197
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198 octave_unused_parameter (args);
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199 octave_unused_parameter (nargout);
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200
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201 err_disabled_feature ("dmperm", "CXSparse");
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202
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203 #endif
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204 }
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205
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206 /*
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207 %!testif HAVE_CXSPARSE
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208 %! n = 20;
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209 %! a = speye (n,n);
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210 %! a = a(randperm (n),:);
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211 %! assert (a(dmperm (a),:), speye (n));
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212
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213 %!testif HAVE_CXSPARSE
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214 %! n = 20;
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215 %! d = 0.2;
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216 %! a = tril (sprandn (n,n,d), -1) + speye (n,n);
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217 %! a = a(randperm (n), randperm (n));
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218 %! [p,q,r,s] = dmperm (a);
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219 %! assert (tril (a(p,q), -1), sparse (n, n));
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220 */
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221
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222 DEFUN (sprank, args, nargout,
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223 doc: /* -*- texinfo -*-
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224 @deftypefn {} {@var{p} =} sprank (@var{S})
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225 @cindex structural rank
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226
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227 Calculate the structural rank of the sparse matrix @var{S}.
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228
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229 Note that only the structure of the matrix is used in this calculation based
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230 on a @nospell{Dulmage-Mendelsohn} permutation to block triangular form. As
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231 such the numerical rank of the matrix @var{S} is bounded by
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232 @code{sprank (@var{S}) >= rank (@var{S})}. Ignoring floating point errors
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233 @code{sprank (@var{S}) == rank (@var{S})}.
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234 @seealso{dmperm}
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235 @end deftypefn */)
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236 {
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237 #if defined (HAVE_CXSPARSE)
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238
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239 if (args.length () != 1)
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240 print_usage ();
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241
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242 return dmperm_internal (true, args(0), nargout);
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243
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244 #else
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245
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246 octave_unused_parameter (args);
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247 octave_unused_parameter (nargout);
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248
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249 err_disabled_feature ("sprank", "CXSparse");
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250
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251 #endif
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252 }
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253
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254 /*
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diff changeset
255 %!testif HAVE_CXSPARSE
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ecce63c99c3f maint: Add semicolons to terminate code in %! blocks.
Rik <rik@octave.org>
parents: 21301
diff changeset
256 %! assert (sprank (speye (20)), 20);
7243
e8d7eed42935 [project @ 2007-12-04 02:10:17 by jwe]
jwe
parents: 7017
diff changeset
257 %!testif HAVE_CXSPARSE
21580
ecce63c99c3f maint: Add semicolons to terminate code in %! blocks.
Rik <rik@octave.org>
parents: 21301
diff changeset
258 %! assert (sprank ([1,0,2,0;2,0,4,0]), 2);
6066
27fa671e5599 [project @ 2006-10-20 08:33:19 by dbateman]
dbateman
parents: 5823
diff changeset
259
14501
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14138
diff changeset
260 %!error sprank (1,2)
6066
27fa671e5599 [project @ 2006-10-20 08:33:19 by dbateman]
dbateman
parents: 5823
diff changeset
261 */
29958
32c3a5805893 move DEFUN and DEFMETHOD functions inside octave namespace
John W. Eaton <jwe@octave.org>
parents: 29359
diff changeset
262
32c3a5805893 move DEFUN and DEFMETHOD functions inside octave namespace
John W. Eaton <jwe@octave.org>
parents: 29359
diff changeset
263 OCTAVE_NAMESPACE_END