annotate libinterp/dldfcn/colamd.cc @ 23024:a6a7b054e4ba

Rationalize #includes in libinterp/dldfcn directory. * symbfact.cc, __delaunayn__.cc, __eigs__.cc, __fltk_uigetfile__.cc, __glpk__.cc, __init_fltk__.cc, __init_gnuplot__.cc, __ode15__.cc, __osmesa_print__.cc, __voronoi__.cc, amd.cc, audiodevinfo.cc, audioread.cc, ccolamd.cc, chol.cc, colamd.cc, convhulln.cc, dmperm.cc, fftw.cc, gzip.cc, qr.cc, symrcm.cc: Add missing #includes and remove excess ones.
author Rik <rik@octave.org>
date Mon, 09 Jan 2017 09:38:33 -0800
parents 3a2b891d0b33
children ef4d915df748
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1 /*
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2
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3 Copyright (C) 2004-2016 David Bateman
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4 Copyright (C) 1998-2004 Andy Adler
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5
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6 This file is part of Octave.
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7
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8 Octave is free software; you can redistribute it and/or modify it
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9 under the terms of the GNU General Public License as published by
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10 the Free Software Foundation; either version 3 of the License, or
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11 (at your option) any later version.
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12
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13 Octave is distributed in the hope that it will be useful, but
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14 WITHOUT ANY WARRANTY; without even the implied warranty of
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15 MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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16 GNU General Public License for more details.
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17
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18 You should have received a copy of the GNU General Public License
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19 along with Octave; see the file COPYING. If not, see
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20 <http://www.gnu.org/licenses/>.
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21
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22 */
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23
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24 // This is the octave interface to colamd, which bore the copyright given
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25 // in the help of the functions.
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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 <cstdlib>
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32
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33 #include <string>
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34
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35 #include "CSparse.h"
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36 #include "dNDArray.h"
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37 #include "dSparse.h"
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38 #include "oct-locbuf.h"
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39 #include "oct-sparse.h"
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40
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41 #include "defun-dld.h"
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42 #include "error.h"
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43 #include "errwarn.h"
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44 #include "ovl.h"
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45 #include "pager.h"
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46
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47 #if defined (OCTAVE_ENABLE_64)
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48 # define COLAMD_NAME(name) colamd_l ## name
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49 # define SYMAMD_NAME(name) symamd_l ## name
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50 #else
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51 # define COLAMD_NAME(name) colamd ## name
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52 # define SYMAMD_NAME(name) symamd ## name
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53 #endif
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54
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55 // The symmetric column elimination tree code take from the Davis LDL code.
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56 // Copyright given elsewhere in this file.
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57 static void
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58 symetree (const octave_idx_type *ridx, const octave_idx_type *cidx,
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59 octave_idx_type *Parent, octave_idx_type *P, octave_idx_type n)
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60 {
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61 OCTAVE_LOCAL_BUFFER (octave_idx_type, Flag, n);
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62 OCTAVE_LOCAL_BUFFER (octave_idx_type, Pinv, (P ? n : 0));
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63 if (P)
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64 // If P is present then compute Pinv, the inverse of P
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65 for (octave_idx_type k = 0 ; k < n ; k++)
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66 Pinv[P[k]] = k;
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67
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68 for (octave_idx_type k = 0 ; k < n ; k++)
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69 {
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70 // L(k,:) pattern: all nodes reachable in etree from nz in A(0:k-1,k)
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71 Parent[k] = n ; // parent of k is not yet known
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72 Flag[k] = k ; // mark node k as visited
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73 octave_idx_type kk = (P) ? P[k] // kth original, or permuted, column
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74 : (k);
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75 octave_idx_type p2 = cidx[kk+1];
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76 for (octave_idx_type p = cidx[kk] ; p < p2 ; p++)
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77 {
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78 // A (i,k) is nonzero (original or permuted A)
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79 octave_idx_type i = (Pinv) ? (Pinv[ridx[p]]) : (ridx[p]);
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80 if (i < k)
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81 {
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82 // follow path from i to root of etree, stop at flagged node
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83 for ( ; Flag[i] != k ; i = Parent[i])
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84 {
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85 // find parent of i if not yet determined
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86 if (Parent[i] == n)
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87 Parent[i] = k;
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88 Flag[i] = k ; // mark i as visited
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89 }
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90 }
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91 }
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92 }
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93 }
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94
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95 // The elimination tree post-ordering code below is taken from SuperLU
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96 static inline octave_idx_type
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97 make_set (octave_idx_type i, octave_idx_type *pp)
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98 {
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99 pp[i] = i;
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100 return i;
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101 }
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102
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103 static inline octave_idx_type
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104 link (octave_idx_type s, octave_idx_type t, octave_idx_type *pp)
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105 {
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106 pp[s] = t;
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107 return t;
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108 }
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109
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110 static inline octave_idx_type
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111 find (octave_idx_type i, octave_idx_type *pp)
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112 {
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113 octave_idx_type p = pp[i];
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114 octave_idx_type gp = pp[p];
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115
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116 while (gp != p)
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117 {
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118 pp[i] = gp;
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119 i = gp;
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120 p = pp[i];
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121 gp = pp[p];
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122 }
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123
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124 return p;
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125 }
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126
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127 static octave_idx_type
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128 etdfs (octave_idx_type v, octave_idx_type *first_kid,
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129 octave_idx_type *next_kid, octave_idx_type *post,
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130 octave_idx_type postnum)
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131 {
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132 for (octave_idx_type w = first_kid[v]; w != -1; w = next_kid[w])
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133 postnum = etdfs (w, first_kid, next_kid, post, postnum);
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134
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135 post[postnum++] = v;
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136
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137 return postnum;
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138 }
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139
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140 static void
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141 tree_postorder (octave_idx_type n, octave_idx_type *parent,
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142 octave_idx_type *post)
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143 {
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144 // Allocate storage for working arrays and results
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145 OCTAVE_LOCAL_BUFFER (octave_idx_type, first_kid, n+1);
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146 OCTAVE_LOCAL_BUFFER (octave_idx_type, next_kid, n+1);
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147
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148 // Set up structure describing children
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149 for (octave_idx_type v = 0; v <= n; first_kid[v++] = -1)
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150 ; // do nothing
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151
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152 for (octave_idx_type v = n-1; v >= 0; v--)
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153 {
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154 octave_idx_type dad = parent[v];
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155 next_kid[v] = first_kid[dad];
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156 first_kid[dad] = v;
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157 }
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158
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159 // Depth-first search from dummy root vertex #n
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160 etdfs (n, first_kid, next_kid, post, 0);
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161 }
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162
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163 static void
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164 coletree (const octave_idx_type *ridx, const octave_idx_type *colbeg,
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165 octave_idx_type *colend, octave_idx_type *parent,
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166 octave_idx_type nr, octave_idx_type nc)
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167 {
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168 OCTAVE_LOCAL_BUFFER (octave_idx_type, root, nc);
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169 OCTAVE_LOCAL_BUFFER (octave_idx_type, pp, nc);
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170 OCTAVE_LOCAL_BUFFER (octave_idx_type, firstcol, nr);
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171
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172 // Compute firstcol[row] = first nonzero column in row
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173 for (octave_idx_type row = 0; row < nr; firstcol[row++] = nc)
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174 ; // do nothing
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175
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176 for (octave_idx_type col = 0; col < nc; col++)
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177 for (octave_idx_type p = colbeg[col]; p < colend[col]; p++)
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178 {
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179 octave_idx_type row = ridx[p];
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180 if (firstcol[row] > col)
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181 firstcol[row] = col;
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182 }
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183
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184 // Compute etree by Liu's algorithm for symmetric matrices,
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185 // except use (firstcol[r],c) in place of an edge (r,c) of A.
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186 // Thus each row clique in A'*A is replaced by a star
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187 // centered at its first vertex, which has the same fill.
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188 for (octave_idx_type col = 0; col < nc; col++)
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189 {
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190 octave_idx_type cset = make_set (col, pp);
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191 root[cset] = col;
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192 parent[col] = nc;
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193 for (octave_idx_type p = colbeg[col]; p < colend[col]; p++)
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194 {
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195 octave_idx_type row = firstcol[ridx[p]];
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196 if (row >= col)
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197 continue;
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198 octave_idx_type rset = find (row, pp);
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199 octave_idx_type rroot = root[rset];
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200 if (rroot != col)
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201 {
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202 parent[rroot] = col;
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203 cset = link (cset, rset, pp);
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204 root[cset] = col;
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205 }
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206 }
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207 }
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208 }
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209
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210 DEFUN_DLD (colamd, args, nargout,
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211 doc: /* -*- texinfo -*-
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212 @deftypefn {} {@var{p} =} colamd (@var{S})
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213 @deftypefnx {} {@var{p} =} colamd (@var{S}, @var{knobs})
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214 @deftypefnx {} {[@var{p}, @var{stats}] =} colamd (@var{S})
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215 @deftypefnx {} {[@var{p}, @var{stats}] =} colamd (@var{S}, @var{knobs})
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216
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217 Compute the column approximate minimum degree permutation.
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218
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219 @code{@var{p} = colamd (@var{S})} returns the column approximate minimum
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220 degree permutation vector for the sparse matrix @var{S}. For a
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221 non-symmetric matrix @var{S}, @code{@var{S}(:,@var{p})} tends to have
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222 sparser LU@tie{}factors than @var{S}. The Cholesky@tie{}factorization of
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223 @code{@var{S}(:,@var{p})' * @var{S}(:,@var{p})} also tends to be sparser
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224 than that of @code{@var{S}' * @var{S}}.
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225
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226 @var{knobs} is an optional one- to three-element input vector. If @var{S}
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227 is m-by-n, then rows with more than @code{max(16,@var{knobs}(1)*sqrt(n))}
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228 entries are ignored. Columns with more than
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229 @code{max (16,@var{knobs}(2)*sqrt(min(m,n)))} entries are removed prior to
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230 ordering, and ordered last in the output permutation @var{p}. Only
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231 completely dense rows or columns are removed if @code{@var{knobs}(1)} and
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232 @code{@var{knobs}(2)} are < 0, respectively. If @code{@var{knobs}(3)} is
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233 nonzero, @var{stats} and @var{knobs} are printed. The default is
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234 @code{@var{knobs} = [10 10 0]}. Note that @var{knobs} differs from earlier
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235 versions of colamd.
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236
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237 @var{stats} is an optional 20-element output vector that provides data
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238 about the ordering and the validity of the input matrix @var{S}. Ordering
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239 statistics are in @code{@var{stats}(1:3)}. @code{@var{stats}(1)} and
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240 @code{@var{stats}(2)} are the number of dense or empty rows and columns
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241 ignored by @sc{colamd} and @code{@var{stats}(3)} is the number of garbage
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242 collections performed on the internal data structure used by @sc{colamd}
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243 (roughly of size @code{2.2 * nnz(@var{S}) + 4 * @var{m} + 7 * @var{n}}
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244 integers).
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245
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246 Octave built-in functions are intended to generate valid sparse matrices,
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247 with no duplicate entries, with ascending row indices of the nonzeros
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248 in each column, with a non-negative number of entries in each column (!)
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249 and so on. If a matrix is invalid, then @sc{colamd} may or may not be able
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250 to continue. If there are duplicate entries (a row index appears two or
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251 more times in the same column) or if the row indices in a column are out
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252 of order, then @sc{colamd} can correct these errors by ignoring the
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253 duplicate entries and sorting each column of its internal copy of the
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254 matrix @var{S} (the input matrix @var{S} is not repaired, however). If a
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255 matrix is invalid in other ways then @sc{colamd} cannot continue, an error
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256 message is printed, and no output arguments (@var{p} or @var{stats}) are
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257 returned.
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258 @sc{colamd} is thus a simple way to check a sparse matrix to see if it's
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259 valid.
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260
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261 @code{@var{stats}(4:7)} provide information if @sc{colamd} was able to
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262 continue. The matrix is OK if @code{@var{stats}(4)} is zero, or 1 if
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263 invalid. @code{@var{stats}(5)} is the rightmost column index that is
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264 unsorted or contains duplicate entries, or zero if no such column exists.
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265 @code{@var{stats}(6)} is the last seen duplicate or out-of-order row
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266 index in the column index given by @code{@var{stats}(5)}, or zero if no
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267 such row index exists. @code{@var{stats}(7)} is the number of duplicate
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268 or out-of-order row indices. @code{@var{stats}(8:20)} is always zero in
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269 the current version of @sc{colamd} (reserved for future use).
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270
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271 The ordering is followed by a column elimination tree post-ordering.
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272
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273 The authors of the code itself are @nospell{Stefan I. Larimore} and
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274 @nospell{Timothy A. Davis @email{davis@@cise.ufl.edu}}, University of Florida. The algorithm was developed in collaboration with @nospell{John Gilbert},
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275 Xerox PARC, and @nospell{Esmond Ng}, Oak Ridge National Laboratory. (see
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276 @url{http://www.cise.ufl.edu/research/sparse/colamd})
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277 @seealso{colperm, symamd, ccolamd}
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278 @end deftypefn */)
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279 {
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280 #if defined (HAVE_COLAMD)
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263d18409fdf Eliminate unused variable warnings for conditionally compiled code.
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281
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282 int nargin = args.length ();
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283
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03e4ddd49396 omit unnecessary nargout checks
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284 if (nargin < 1 || nargin > 2)
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285 print_usage ();
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286
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8da80da1ac37 maint: Use ovl() more places in the code.
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287 octave_value_list retval (nargout == 2 ? 2 : 1);
8da80da1ac37 maint: Use ovl() more places in the code.
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288 int spumoni = 0;
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ac1f8c640d8f 2015 Code Sprint: colamd.cc: use ovl().
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289
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290 // Get knobs
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291 OCTAVE_LOCAL_BUFFER (double, knobs, COLAMD_KNOBS);
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292 COLAMD_NAME (_set_defaults) (knobs);
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293
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294 // Check for user-passed knobs
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295 if (nargin == 2)
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296 {
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297 NDArray User_knobs = args(1).array_value ();
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298 int nel_User_knobs = User_knobs.numel ();
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299
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300 if (nel_User_knobs > 0)
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301 knobs[COLAMD_DENSE_ROW] = User_knobs(0);
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302 if (nel_User_knobs > 1)
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303 knobs[COLAMD_DENSE_COL] = User_knobs(1);
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304 if (nel_User_knobs > 2)
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diff changeset
305 spumoni = static_cast<int> (User_knobs(2));
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306
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307 // print knob settings if spumoni is set
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308 if (spumoni)
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309 {
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310
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311 octave_stdout << "\ncolamd version " << COLAMD_MAIN_VERSION
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312 << "." << COLAMD_SUB_VERSION
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313 << ", " << COLAMD_DATE << ":\n";
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dbateman
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diff changeset
314
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315 if (knobs[COLAMD_DENSE_ROW] >= 0)
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316 octave_stdout << "knobs(1): " << User_knobs (0)
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317 << ", rows with > max (16,"
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318 << knobs[COLAMD_DENSE_ROW] << "*sqrt (size(A,2)))"
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319 << " entries removed\n";
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320 else
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diff changeset
321 octave_stdout << "knobs(1): " << User_knobs (0)
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322 << ", only completely dense rows removed\n";
5440
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diff changeset
323
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324 if (knobs[COLAMD_DENSE_COL] >= 0)
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diff changeset
325 octave_stdout << "knobs(2): " << User_knobs (1)
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326 << ", cols with > max (16,"
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diff changeset
327 << knobs[COLAMD_DENSE_COL] << "*sqrt (size(A)))"
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diff changeset
328 << " entries removed\n";
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diff changeset
329 else
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330 octave_stdout << "knobs(2): " << User_knobs (1)
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diff changeset
331 << ", only completely dense columns removed\n";
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332
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diff changeset
333 octave_stdout << "knobs(3): " << User_knobs (2)
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334 << ", statistics and knobs printed\n";
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335
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336 }
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337 }
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338
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diff changeset
339 octave_idx_type n_row, n_col, nnz;
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diff changeset
340 octave_idx_type *ridx, *cidx;
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diff changeset
341 SparseComplexMatrix scm;
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diff changeset
342 SparseMatrix sm;
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343
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diff changeset
344 if (args(0).is_sparse_type ())
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345 {
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diff changeset
346 if (args(0).is_complex_type ())
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
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diff changeset
347 {
21751
b571fc85953f maint: Use two spaces after period to indicate sentence break.
Rik <rik@octave.org>
parents: 21724
diff changeset
348 scm = args(0).sparse_complex_matrix_value ();
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diff changeset
349 n_row = scm.rows ();
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diff changeset
350 n_col = scm.cols ();
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diff changeset
351 nnz = scm.nnz ();
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352 ridx = scm.xridx ();
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diff changeset
353 cidx = scm.xcidx ();
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
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diff changeset
354 }
5164
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diff changeset
355 else
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
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diff changeset
356 {
20790
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diff changeset
357 sm = args(0).sparse_matrix_value ();
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
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diff changeset
358
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
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diff changeset
359 n_row = sm.rows ();
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
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diff changeset
360 n_col = sm.cols ();
10527
b4d2080b6df7 Replace nzmax by nnz as needed
David Bateman <dbateman@free.fr>
parents: 10282
diff changeset
361 nnz = sm.nnz ();
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
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diff changeset
362 ridx = sm.xridx ();
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
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diff changeset
363 cidx = sm.xcidx ();
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
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diff changeset
364 }
20790
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diff changeset
365 }
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diff changeset
366 else
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diff changeset
367 {
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diff changeset
368 if (args(0).is_complex_type ())
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diff changeset
369 sm = SparseMatrix (real (args(0).complex_matrix_value ()));
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diff changeset
370 else
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diff changeset
371 sm = SparseMatrix (args(0).matrix_value ());
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
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diff changeset
372
20790
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diff changeset
373 n_row = sm.rows ();
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John W. Eaton <jwe@octave.org>
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diff changeset
374 n_col = sm.cols ();
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John W. Eaton <jwe@octave.org>
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diff changeset
375 nnz = sm.nnz ();
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diff changeset
376 ridx = sm.xridx ();
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John W. Eaton <jwe@octave.org>
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diff changeset
377 cidx = sm.xcidx ();
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John W. Eaton <jwe@octave.org>
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378 }
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diff changeset
379
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diff changeset
380 // Allocate workspace for colamd
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diff changeset
381 OCTAVE_LOCAL_BUFFER (octave_idx_type, p, n_col+1);
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diff changeset
382 for (octave_idx_type i = 0; i < n_col+1; i++)
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diff changeset
383 p[i] = cidx[i];
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
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diff changeset
384
20790
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diff changeset
385 octave_idx_type Alen = COLAMD_NAME (_recommended) (nnz, n_row, n_col);
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diff changeset
386 OCTAVE_LOCAL_BUFFER (octave_idx_type, A, Alen);
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John W. Eaton <jwe@octave.org>
parents: 20700
diff changeset
387 for (octave_idx_type i = 0; i < nnz; i++)
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diff changeset
388 A[i] = ridx[i];
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
389
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diff changeset
390 // Order the columns (destroys A)
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diff changeset
391 OCTAVE_LOCAL_BUFFER (octave_idx_type, stats, COLAMD_STATS);
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John W. Eaton <jwe@octave.org>
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diff changeset
392 if (! COLAMD_NAME () (n_row, n_col, Alen, A, p, knobs, stats))
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parents: 20700
diff changeset
393 {
21602
47c76e56a1de maint: Remove extra space between end of statement and semicolon.
Rik <rik@octave.org>
parents: 21547
diff changeset
394 COLAMD_NAME (_report)(stats);
20825
66cd994d1b79 eliminate return statements after calls to error
John W. Eaton <jwe@octave.org>
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diff changeset
395
20790
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diff changeset
396 error ("colamd: internal error!");
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diff changeset
397 }
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
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diff changeset
398
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diff changeset
399 // column elimination tree post-ordering (reuse variables)
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diff changeset
400 OCTAVE_LOCAL_BUFFER (octave_idx_type, colbeg, n_col + 1);
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parents: 20700
diff changeset
401 OCTAVE_LOCAL_BUFFER (octave_idx_type, colend, n_col + 1);
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John W. Eaton <jwe@octave.org>
parents: 20700
diff changeset
402 OCTAVE_LOCAL_BUFFER (octave_idx_type, etree, n_col + 1);
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
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parents:
diff changeset
403
20790
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diff changeset
404 for (octave_idx_type i = 0; i < n_col; i++)
c2d9556d51d0 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20700
diff changeset
405 {
c2d9556d51d0 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20700
diff changeset
406 colbeg[i] = cidx[p[i]];
c2d9556d51d0 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20700
diff changeset
407 colend[i] = cidx[p[i]+1];
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diff changeset
408 }
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diff changeset
409
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diff changeset
410 coletree (ridx, colbeg, colend, etree, n_row, n_col);
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parents: 20700
diff changeset
411
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diff changeset
412 // Calculate the tree post-ordering
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diff changeset
413 tree_postorder (n_col, etree, colbeg);
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diff changeset
414
20790
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diff changeset
415 // return the permutation vector
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diff changeset
416 NDArray out_perm (dim_vector (1, n_col));
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parents: 20700
diff changeset
417 for (octave_idx_type i = 0; i < n_col; i++)
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diff changeset
418 out_perm(i) = p[colbeg[i]] + 1;
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diff changeset
419
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diff changeset
420 retval(0) = out_perm;
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diff changeset
421
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diff changeset
422 // print stats if spumoni > 0
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diff changeset
423 if (spumoni > 0)
21602
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diff changeset
424 COLAMD_NAME (_report)(stats);
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425
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426 // Return the stats vector
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diff changeset
427 if (nargout == 2)
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diff changeset
428 {
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diff changeset
429 NDArray out_stats (dim_vector (1, COLAMD_STATS));
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430 for (octave_idx_type i = 0 ; i < COLAMD_STATS ; i++)
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431 out_stats(i) = stats[i];
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432 retval(1) = out_stats;
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433
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434 // fix stats (5) and (6), for 1-based information on
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diff changeset
435 // jumbled matrix. note that this correction doesn't
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diff changeset
436 // occur if symamd returns FALSE
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diff changeset
437 out_stats(COLAMD_INFO1)++;
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diff changeset
438 out_stats(COLAMD_INFO2)++;
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439 }
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440
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441 return retval;
8da80da1ac37 maint: Use ovl() more places in the code.
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diff changeset
442
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443 #else
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444
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445 octave_unused_parameter (args);
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446 octave_unused_parameter (nargout);
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diff changeset
447
21109
bd1752782e56 Use err_disabled_feature, warn_disabled_feature throughout code base.
Rik <rik@octave.org>
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448 err_disabled_feature ("colamd", "COLAMD");
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449
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450 #endif
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451 }
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452
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453 DEFUN_DLD (symamd, args, nargout,
21966
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454 doc: /* -*- texinfo -*-
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455 @deftypefn {} {@var{p} =} symamd (@var{S})
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456 @deftypefnx {} {@var{p} =} symamd (@var{S}, @var{knobs})
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457 @deftypefnx {} {[@var{p}, @var{stats}] =} symamd (@var{S})
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458 @deftypefnx {} {[@var{p}, @var{stats}] =} symamd (@var{S}, @var{knobs})
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459
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diff changeset
460 For a symmetric positive definite matrix @var{S}, returns the permutation
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461 vector p such that @code{@var{S}(@var{p}, @var{p})} tends to have a
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diff changeset
462 sparser Cholesky@tie{}factor than @var{S}.
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diff changeset
463
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diff changeset
464 Sometimes @code{symamd} works well for symmetric indefinite matrices too.
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465 The matrix @var{S} is assumed to be symmetric; only the strictly lower
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diff changeset
466 triangular part is referenced. @var{S} must be square.
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diff changeset
467
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diff changeset
468 @var{knobs} is an optional one- to two-element input vector. If @var{S} is
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diff changeset
469 n-by-n, then rows and columns with more than
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diff changeset
470 @code{max (16,@var{knobs}(1)*sqrt(n))} entries are removed prior to
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diff changeset
471 ordering, and ordered last in the output permutation @var{p}. No
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diff changeset
472 rows/columns are removed if @code{@var{knobs}(1) < 0}. If
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473 @code{@var{knobs} (2)} is nonzero, @code{stats} and @var{knobs} are
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474 printed. The default is @code{@var{knobs} = [10 0]}. Note that
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diff changeset
475 @var{knobs} differs from earlier versions of @code{symamd}.
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diff changeset
476
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diff changeset
477 @var{stats} is an optional 20-element output vector that provides data
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diff changeset
478 about the ordering and the validity of the input matrix @var{S}. Ordering
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diff changeset
479 statistics are in @code{@var{stats}(1:3)}.
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diff changeset
480 @code{@var{stats}(1) = @var{stats}(2)} is the number of dense or empty rows
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diff changeset
481 and columns ignored by SYMAMD and @code{@var{stats}(3)} is the number of
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diff changeset
482 garbage collections performed on the internal data structure used by SYMAMD
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diff changeset
483 (roughly of size @code{8.4 * nnz (tril (@var{S}, -1)) + 9 * @var{n}}
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diff changeset
484 integers).
112b20240c87 move docstrings in C++ files out of C strings and into comments
John W. Eaton <jwe@octave.org>
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diff changeset
485
112b20240c87 move docstrings in C++ files out of C strings and into comments
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diff changeset
486 Octave built-in functions are intended to generate valid sparse matrices,
112b20240c87 move docstrings in C++ files out of C strings and into comments
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parents: 21751
diff changeset
487 with no duplicate entries, with ascending row indices of the nonzeros
112b20240c87 move docstrings in C++ files out of C strings and into comments
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parents: 21751
diff changeset
488 in each column, with a non-negative number of entries in each column (!)
112b20240c87 move docstrings in C++ files out of C strings and into comments
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diff changeset
489 and so on. If a matrix is invalid, then SYMAMD may or may not be able
112b20240c87 move docstrings in C++ files out of C strings and into comments
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diff changeset
490 to continue. If there are duplicate entries (a row index appears two or
112b20240c87 move docstrings in C++ files out of C strings and into comments
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parents: 21751
diff changeset
491 more times in the same column) or if the row indices in a column are out
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parents: 21751
diff changeset
492 of order, then SYMAMD can correct these errors by ignoring the duplicate
112b20240c87 move docstrings in C++ files out of C strings and into comments
John W. Eaton <jwe@octave.org>
parents: 21751
diff changeset
493 entries and sorting each column of its internal copy of the matrix S (the
112b20240c87 move docstrings in C++ files out of C strings and into comments
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parents: 21751
diff changeset
494 input matrix S is not repaired, however). If a matrix is invalid in
112b20240c87 move docstrings in C++ files out of C strings and into comments
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parents: 21751
diff changeset
495 other ways then SYMAMD cannot continue, an error message is printed, and
112b20240c87 move docstrings in C++ files out of C strings and into comments
John W. Eaton <jwe@octave.org>
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diff changeset
496 no output arguments (@var{p} or @var{stats}) are returned. SYMAMD is
112b20240c87 move docstrings in C++ files out of C strings and into comments
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parents: 21751
diff changeset
497 thus a simple way to check a sparse matrix to see if it's valid.
112b20240c87 move docstrings in C++ files out of C strings and into comments
John W. Eaton <jwe@octave.org>
parents: 21751
diff changeset
498
112b20240c87 move docstrings in C++ files out of C strings and into comments
John W. Eaton <jwe@octave.org>
parents: 21751
diff changeset
499 @code{@var{stats}(4:7)} provide information if SYMAMD was able to
112b20240c87 move docstrings in C++ files out of C strings and into comments
John W. Eaton <jwe@octave.org>
parents: 21751
diff changeset
500 continue. The matrix is OK if @code{@var{stats} (4)} is zero, or 1
112b20240c87 move docstrings in C++ files out of C strings and into comments
John W. Eaton <jwe@octave.org>
parents: 21751
diff changeset
501 if invalid. @code{@var{stats}(5)} is the rightmost column index that
112b20240c87 move docstrings in C++ files out of C strings and into comments
John W. Eaton <jwe@octave.org>
parents: 21751
diff changeset
502 is unsorted or contains duplicate entries, or zero if no such column
112b20240c87 move docstrings in C++ files out of C strings and into comments
John W. Eaton <jwe@octave.org>
parents: 21751
diff changeset
503 exists. @code{@var{stats}(6)} is the last seen duplicate or out-of-order
112b20240c87 move docstrings in C++ files out of C strings and into comments
John W. Eaton <jwe@octave.org>
parents: 21751
diff changeset
504 row index in the column index given by @code{@var{stats}(5)}, or zero
112b20240c87 move docstrings in C++ files out of C strings and into comments
John W. Eaton <jwe@octave.org>
parents: 21751
diff changeset
505 if no such row index exists. @code{@var{stats}(7)} is the number of
112b20240c87 move docstrings in C++ files out of C strings and into comments
John W. Eaton <jwe@octave.org>
parents: 21751
diff changeset
506 duplicate or out-of-order row indices. @code{@var{stats}(8:20)} is
112b20240c87 move docstrings in C++ files out of C strings and into comments
John W. Eaton <jwe@octave.org>
parents: 21751
diff changeset
507 always zero in the current version of SYMAMD (reserved for future use).
112b20240c87 move docstrings in C++ files out of C strings and into comments
John W. Eaton <jwe@octave.org>
parents: 21751
diff changeset
508
112b20240c87 move docstrings in C++ files out of C strings and into comments
John W. Eaton <jwe@octave.org>
parents: 21751
diff changeset
509 The ordering is followed by a column elimination tree post-ordering.
112b20240c87 move docstrings in C++ files out of C strings and into comments
John W. Eaton <jwe@octave.org>
parents: 21751
diff changeset
510
112b20240c87 move docstrings in C++ files out of C strings and into comments
John W. Eaton <jwe@octave.org>
parents: 21751
diff changeset
511 The authors of the code itself are @nospell{Stefan I. Larimore} and
112b20240c87 move docstrings in C++ files out of C strings and into comments
John W. Eaton <jwe@octave.org>
parents: 21751
diff changeset
512 @nospell{Timothy A. Davis @email{davis@@cise.ufl.edu}}, University of Florida. The algorithm was developed in collaboration with @nospell{John Gilbert},
112b20240c87 move docstrings in C++ files out of C strings and into comments
John W. Eaton <jwe@octave.org>
parents: 21751
diff changeset
513 Xerox PARC, and @nospell{Esmond Ng}, Oak Ridge National Laboratory. (see
112b20240c87 move docstrings in C++ files out of C strings and into comments
John W. Eaton <jwe@octave.org>
parents: 21751
diff changeset
514 @url{http://www.cise.ufl.edu/research/sparse/colamd})
112b20240c87 move docstrings in C++ files out of C strings and into comments
John W. Eaton <jwe@octave.org>
parents: 21751
diff changeset
515 @seealso{colperm, colamd}
112b20240c87 move docstrings in C++ files out of C strings and into comments
John W. Eaton <jwe@octave.org>
parents: 21751
diff changeset
516 @end deftypefn */)
5164
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diff changeset
517 {
21724
aba2e6293dd8 use "#if ..." consistently instead of "#ifdef" and "#ifndef"
John W. Eaton <jwe@octave.org>
parents: 21691
diff changeset
518 #if defined (HAVE_COLAMD)
5451
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parents: 5440
diff changeset
519
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
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diff changeset
520 int nargin = args.length ();
11586
12df7854fa7c strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents: 11553
diff changeset
521
20909
03e4ddd49396 omit unnecessary nargout checks
John W. Eaton <jwe@octave.org>
parents: 20898
diff changeset
522 if (nargin < 1 || nargin > 2)
5823
080c08b192d8 [project @ 2006-05-19 05:32:17 by jwe]
jwe
parents: 5760
diff changeset
523 print_usage ();
20790
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John W. Eaton <jwe@octave.org>
parents: 20700
diff changeset
524
20898
8da80da1ac37 maint: Use ovl() more places in the code.
Rik <rik@octave.org>
parents: 20862
diff changeset
525 octave_value_list retval (nargin == 2 ? 2 : 1);
8da80da1ac37 maint: Use ovl() more places in the code.
Rik <rik@octave.org>
parents: 20862
diff changeset
526 int spumoni = 0;
20862
ac1f8c640d8f 2015 Code Sprint: colamd.cc: use ovl().
Rik <rik@octave.org>
parents: 20853
diff changeset
527
20790
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parents: 20700
diff changeset
528 // Get knobs
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parents: 20700
diff changeset
529 OCTAVE_LOCAL_BUFFER (double, knobs, COLAMD_KNOBS);
c2d9556d51d0 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20700
diff changeset
530 COLAMD_NAME (_set_defaults) (knobs);
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
531
20790
c2d9556d51d0 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20700
diff changeset
532 // Check for user-passed knobs
c2d9556d51d0 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20700
diff changeset
533 if (nargin == 2)
c2d9556d51d0 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20700
diff changeset
534 {
c2d9556d51d0 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20700
diff changeset
535 NDArray User_knobs = args(1).array_value ();
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John W. Eaton <jwe@octave.org>
parents: 20700
diff changeset
536 int nel_User_knobs = User_knobs.numel ();
11586
12df7854fa7c strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents: 11553
diff changeset
537
20790
c2d9556d51d0 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20700
diff changeset
538 if (nel_User_knobs > 0)
c2d9556d51d0 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20700
diff changeset
539 knobs[COLAMD_DENSE_ROW] = User_knobs(COLAMD_DENSE_ROW);
c2d9556d51d0 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20700
diff changeset
540 if (nel_User_knobs > 1)
c2d9556d51d0 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20700
diff changeset
541 spumoni = static_cast<int> (User_knobs (1));
c2d9556d51d0 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20700
diff changeset
542 }
11586
12df7854fa7c strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents: 11553
diff changeset
543
20790
c2d9556d51d0 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20700
diff changeset
544 // print knob settings if spumoni is set
c2d9556d51d0 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20700
diff changeset
545 if (spumoni > 0)
c2d9556d51d0 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20700
diff changeset
546 octave_stdout << "symamd: dense row/col fraction: "
c2d9556d51d0 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20700
diff changeset
547 << knobs[COLAMD_DENSE_ROW] << std::endl;
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
548
20790
c2d9556d51d0 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20700
diff changeset
549 octave_idx_type n_row, n_col;
c2d9556d51d0 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20700
diff changeset
550 octave_idx_type *ridx, *cidx;
c2d9556d51d0 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20700
diff changeset
551 SparseMatrix sm;
c2d9556d51d0 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20700
diff changeset
552 SparseComplexMatrix scm;
c2d9556d51d0 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20700
diff changeset
553
c2d9556d51d0 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20700
diff changeset
554 if (args(0).is_sparse_type ())
c2d9556d51d0 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20700
diff changeset
555 {
c2d9556d51d0 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20700
diff changeset
556 if (args(0).is_complex_type ())
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
557 {
20790
c2d9556d51d0 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20700
diff changeset
558 scm = args(0).sparse_complex_matrix_value ();
c2d9556d51d0 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20700
diff changeset
559 n_row = scm.rows ();
c2d9556d51d0 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20700
diff changeset
560 n_col = scm.cols ();
c2d9556d51d0 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20700
diff changeset
561 ridx = scm.xridx ();
c2d9556d51d0 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20700
diff changeset
562 cidx = scm.xcidx ();
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
563 }
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
564 else
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
565 {
20790
c2d9556d51d0 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20700
diff changeset
566 sm = args(0).sparse_matrix_value ();
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
567 n_row = sm.rows ();
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
568 n_col = sm.cols ();
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
569 ridx = sm.xridx ();
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
570 cidx = sm.xcidx ();
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
571 }
20790
c2d9556d51d0 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20700
diff changeset
572 }
c2d9556d51d0 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20700
diff changeset
573 else
c2d9556d51d0 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20700
diff changeset
574 {
c2d9556d51d0 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20700
diff changeset
575 if (args(0).is_complex_type ())
c2d9556d51d0 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20700
diff changeset
576 sm = SparseMatrix (real (args(0).complex_matrix_value ()));
c2d9556d51d0 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20700
diff changeset
577 else
c2d9556d51d0 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20700
diff changeset
578 sm = SparseMatrix (args(0).matrix_value ());
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
579
20790
c2d9556d51d0 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20700
diff changeset
580 n_row = sm.rows ();
c2d9556d51d0 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20700
diff changeset
581 n_col = sm.cols ();
c2d9556d51d0 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20700
diff changeset
582 ridx = sm.xridx ();
c2d9556d51d0 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20700
diff changeset
583 cidx = sm.xcidx ();
c2d9556d51d0 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20700
diff changeset
584 }
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
585
20790
c2d9556d51d0 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20700
diff changeset
586 if (n_row != n_col)
21110
3d0d84305600 Use err_square_matrix_required more widely.
Rik <rik@octave.org>
parents: 21109
diff changeset
587 err_square_matrix_required ("symamd", "S");
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
588
20790
c2d9556d51d0 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20700
diff changeset
589 // Allocate workspace for symamd
c2d9556d51d0 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20700
diff changeset
590 OCTAVE_LOCAL_BUFFER (octave_idx_type, perm, n_col+1);
c2d9556d51d0 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20700
diff changeset
591 OCTAVE_LOCAL_BUFFER (octave_idx_type, stats, COLAMD_STATS);
20955
77f5591878bf maint: Use '! expr' rather than '!expr' to conform to coding guidelines.
Rik <rik@octave.org>
parents: 20946
diff changeset
592 if (! SYMAMD_NAME () (n_col, ridx, cidx, perm,
22407
34ce5be04942 maint: Style check C++ code in libinterp/.
Rik <rik@octave.org>
parents: 22323
diff changeset
593 knobs, stats, &calloc, &free))
20790
c2d9556d51d0 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20700
diff changeset
594 {
21602
47c76e56a1de maint: Remove extra space between end of statement and semicolon.
Rik <rik@octave.org>
parents: 21547
diff changeset
595 SYMAMD_NAME (_report)(stats);
20825
66cd994d1b79 eliminate return statements after calls to error
John W. Eaton <jwe@octave.org>
parents: 20790
diff changeset
596
21602
47c76e56a1de maint: Remove extra space between end of statement and semicolon.
Rik <rik@octave.org>
parents: 21547
diff changeset
597 error ("symamd: internal error!");
20790
c2d9556d51d0 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20700
diff changeset
598 }
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
599
20790
c2d9556d51d0 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20700
diff changeset
600 // column elimination tree post-ordering
c2d9556d51d0 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20700
diff changeset
601 OCTAVE_LOCAL_BUFFER (octave_idx_type, etree, n_col + 1);
c2d9556d51d0 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20700
diff changeset
602 symetree (ridx, cidx, etree, perm, n_col);
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
603
20790
c2d9556d51d0 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20700
diff changeset
604 // Calculate the tree post-ordering
c2d9556d51d0 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20700
diff changeset
605 OCTAVE_LOCAL_BUFFER (octave_idx_type, post, n_col + 1);
c2d9556d51d0 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20700
diff changeset
606 tree_postorder (n_col, etree, post);
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
607
20790
c2d9556d51d0 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20700
diff changeset
608 // return the permutation vector
c2d9556d51d0 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20700
diff changeset
609 NDArray out_perm (dim_vector (1, n_col));
c2d9556d51d0 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20700
diff changeset
610 for (octave_idx_type i = 0; i < n_col; i++)
c2d9556d51d0 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20700
diff changeset
611 out_perm(i) = perm[post[i]] + 1;
c2d9556d51d0 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20700
diff changeset
612
c2d9556d51d0 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20700
diff changeset
613 retval(0) = out_perm;
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
614
20790
c2d9556d51d0 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20700
diff changeset
615 // print stats if spumoni > 0
c2d9556d51d0 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20700
diff changeset
616 if (spumoni > 0)
21602
47c76e56a1de maint: Remove extra space between end of statement and semicolon.
Rik <rik@octave.org>
parents: 21547
diff changeset
617 SYMAMD_NAME (_report)(stats);
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
618
20790
c2d9556d51d0 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20700
diff changeset
619 // Return the stats vector
c2d9556d51d0 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20700
diff changeset
620 if (nargout == 2)
c2d9556d51d0 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20700
diff changeset
621 {
c2d9556d51d0 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20700
diff changeset
622 NDArray out_stats (dim_vector (1, COLAMD_STATS));
c2d9556d51d0 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20700
diff changeset
623 for (octave_idx_type i = 0 ; i < COLAMD_STATS ; i++)
21602
47c76e56a1de maint: Remove extra space between end of statement and semicolon.
Rik <rik@octave.org>
parents: 21547
diff changeset
624 out_stats(i) = stats[i];
20790
c2d9556d51d0 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20700
diff changeset
625 retval(1) = out_stats;
c2d9556d51d0 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20700
diff changeset
626
c2d9556d51d0 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20700
diff changeset
627 // fix stats (5) and (6), for 1-based information on
c2d9556d51d0 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20700
diff changeset
628 // jumbled matrix. note that this correction doesn't
c2d9556d51d0 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20700
diff changeset
629 // occur if symamd returns FALSE
21602
47c76e56a1de maint: Remove extra space between end of statement and semicolon.
Rik <rik@octave.org>
parents: 21547
diff changeset
630 out_stats(COLAMD_INFO1)++;
47c76e56a1de maint: Remove extra space between end of statement and semicolon.
Rik <rik@octave.org>
parents: 21547
diff changeset
631 out_stats(COLAMD_INFO2)++;
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
632 }
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
633
20898
8da80da1ac37 maint: Use ovl() more places in the code.
Rik <rik@octave.org>
parents: 20862
diff changeset
634 return retval;
8da80da1ac37 maint: Use ovl() more places in the code.
Rik <rik@octave.org>
parents: 20862
diff changeset
635
5451
ed08548b9054 [project @ 2005-09-15 19:52:50 by jwe]
jwe
parents: 5440
diff changeset
636 #else
21691
263d18409fdf Eliminate unused variable warnings for conditionally compiled code.
John W. Eaton <jwe@octave.org>
parents: 21602
diff changeset
637
263d18409fdf Eliminate unused variable warnings for conditionally compiled code.
John W. Eaton <jwe@octave.org>
parents: 21602
diff changeset
638 octave_unused_parameter (args);
263d18409fdf Eliminate unused variable warnings for conditionally compiled code.
John W. Eaton <jwe@octave.org>
parents: 21602
diff changeset
639 octave_unused_parameter (nargout);
263d18409fdf Eliminate unused variable warnings for conditionally compiled code.
John W. Eaton <jwe@octave.org>
parents: 21602
diff changeset
640
21109
bd1752782e56 Use err_disabled_feature, warn_disabled_feature throughout code base.
Rik <rik@octave.org>
parents: 20955
diff changeset
641 err_disabled_feature ("symamd", "COLAMD");
21691
263d18409fdf Eliminate unused variable warnings for conditionally compiled code.
John W. Eaton <jwe@octave.org>
parents: 21602
diff changeset
642
5451
ed08548b9054 [project @ 2005-09-15 19:52:50 by jwe]
jwe
parents: 5440
diff changeset
643 #endif
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
644 }
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
645
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
646 DEFUN_DLD (etree, args, nargout,
21966
112b20240c87 move docstrings in C++ files out of C strings and into comments
John W. Eaton <jwe@octave.org>
parents: 21751
diff changeset
647 doc: /* -*- texinfo -*-
112b20240c87 move docstrings in C++ files out of C strings and into comments
John W. Eaton <jwe@octave.org>
parents: 21751
diff changeset
648 @deftypefn {} {@var{p} =} etree (@var{S})
112b20240c87 move docstrings in C++ files out of C strings and into comments
John W. Eaton <jwe@octave.org>
parents: 21751
diff changeset
649 @deftypefnx {} {@var{p} =} etree (@var{S}, @var{typ})
112b20240c87 move docstrings in C++ files out of C strings and into comments
John W. Eaton <jwe@octave.org>
parents: 21751
diff changeset
650 @deftypefnx {} {[@var{p}, @var{q}] =} etree (@var{S}, @var{typ})
112b20240c87 move docstrings in C++ files out of C strings and into comments
John W. Eaton <jwe@octave.org>
parents: 21751
diff changeset
651
112b20240c87 move docstrings in C++ files out of C strings and into comments
John W. Eaton <jwe@octave.org>
parents: 21751
diff changeset
652 Return the elimination tree for the matrix @var{S}.
112b20240c87 move docstrings in C++ files out of C strings and into comments
John W. Eaton <jwe@octave.org>
parents: 21751
diff changeset
653
112b20240c87 move docstrings in C++ files out of C strings and into comments
John W. Eaton <jwe@octave.org>
parents: 21751
diff changeset
654 By default @var{S} is assumed to be symmetric and the symmetric elimination
112b20240c87 move docstrings in C++ files out of C strings and into comments
John W. Eaton <jwe@octave.org>
parents: 21751
diff changeset
655 tree is returned. The argument @var{typ} controls whether a symmetric or
112b20240c87 move docstrings in C++ files out of C strings and into comments
John W. Eaton <jwe@octave.org>
parents: 21751
diff changeset
656 column elimination tree is returned. Valid values of @var{typ} are
112b20240c87 move docstrings in C++ files out of C strings and into comments
John W. Eaton <jwe@octave.org>
parents: 21751
diff changeset
657 @qcode{"sym"} or @qcode{"col"}, for symmetric or column elimination tree
112b20240c87 move docstrings in C++ files out of C strings and into comments
John W. Eaton <jwe@octave.org>
parents: 21751
diff changeset
658 respectively.
112b20240c87 move docstrings in C++ files out of C strings and into comments
John W. Eaton <jwe@octave.org>
parents: 21751
diff changeset
659
112b20240c87 move docstrings in C++ files out of C strings and into comments
John W. Eaton <jwe@octave.org>
parents: 21751
diff changeset
660 Called with a second argument, @code{etree} also returns the postorder
112b20240c87 move docstrings in C++ files out of C strings and into comments
John W. Eaton <jwe@octave.org>
parents: 21751
diff changeset
661 permutations on the tree.
112b20240c87 move docstrings in C++ files out of C strings and into comments
John W. Eaton <jwe@octave.org>
parents: 21751
diff changeset
662 @end deftypefn */)
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
663 {
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
664 int nargin = args.length ();
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
665
20909
03e4ddd49396 omit unnecessary nargout checks
John W. Eaton <jwe@octave.org>
parents: 20898
diff changeset
666 if (nargin < 1 || nargin > 2)
5823
080c08b192d8 [project @ 2006-05-19 05:32:17 by jwe]
jwe
parents: 5760
diff changeset
667 print_usage ();
20790
c2d9556d51d0 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20700
diff changeset
668
20898
8da80da1ac37 maint: Use ovl() more places in the code.
Rik <rik@octave.org>
parents: 20862
diff changeset
669 octave_value_list retval (nargout == 2 ? 2 : 1);
20862
ac1f8c640d8f 2015 Code Sprint: colamd.cc: use ovl().
Rik <rik@octave.org>
parents: 20853
diff changeset
670
20898
8da80da1ac37 maint: Use ovl() more places in the code.
Rik <rik@octave.org>
parents: 20862
diff changeset
671 octave_idx_type n_row = 0;
8da80da1ac37 maint: Use ovl() more places in the code.
Rik <rik@octave.org>
parents: 20862
diff changeset
672 octave_idx_type n_col = 0;
8da80da1ac37 maint: Use ovl() more places in the code.
Rik <rik@octave.org>
parents: 20862
diff changeset
673 octave_idx_type *ridx = 0;
8da80da1ac37 maint: Use ovl() more places in the code.
Rik <rik@octave.org>
parents: 20862
diff changeset
674 octave_idx_type *cidx = 0;
20790
c2d9556d51d0 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20700
diff changeset
675
c2d9556d51d0 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20700
diff changeset
676 if (args(0).is_sparse_type ())
20939
b17fda023ca6 maint: Use new C++ archetype in more files.
Rik <rik@octave.org>
parents: 20909
diff changeset
677 error ("etree: S must be a sparse matrix");
20825
66cd994d1b79 eliminate return statements after calls to error
John W. Eaton <jwe@octave.org>
parents: 20790
diff changeset
678
20939
b17fda023ca6 maint: Use new C++ archetype in more files.
Rik <rik@octave.org>
parents: 20909
diff changeset
679 if (args(0).is_complex_type ())
b17fda023ca6 maint: Use new C++ archetype in more files.
Rik <rik@octave.org>
parents: 20909
diff changeset
680 {
b17fda023ca6 maint: Use new C++ archetype in more files.
Rik <rik@octave.org>
parents: 20909
diff changeset
681 SparseComplexMatrix scm = args(0).sparse_complex_matrix_value ();
20825
66cd994d1b79 eliminate return statements after calls to error
John W. Eaton <jwe@octave.org>
parents: 20790
diff changeset
682
20939
b17fda023ca6 maint: Use new C++ archetype in more files.
Rik <rik@octave.org>
parents: 20909
diff changeset
683 n_row = scm.rows ();
b17fda023ca6 maint: Use new C++ archetype in more files.
Rik <rik@octave.org>
parents: 20909
diff changeset
684 n_col = scm.cols ();
b17fda023ca6 maint: Use new C++ archetype in more files.
Rik <rik@octave.org>
parents: 20909
diff changeset
685 ridx = scm.xridx ();
b17fda023ca6 maint: Use new C++ archetype in more files.
Rik <rik@octave.org>
parents: 20909
diff changeset
686 cidx = scm.xcidx ();
20790
c2d9556d51d0 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20700
diff changeset
687 }
c2d9556d51d0 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20700
diff changeset
688 else
20939
b17fda023ca6 maint: Use new C++ archetype in more files.
Rik <rik@octave.org>
parents: 20909
diff changeset
689 {
b17fda023ca6 maint: Use new C++ archetype in more files.
Rik <rik@octave.org>
parents: 20909
diff changeset
690 SparseMatrix sm = args(0).sparse_matrix_value ();
b17fda023ca6 maint: Use new C++ archetype in more files.
Rik <rik@octave.org>
parents: 20909
diff changeset
691
b17fda023ca6 maint: Use new C++ archetype in more files.
Rik <rik@octave.org>
parents: 20909
diff changeset
692 n_row = sm.rows ();
b17fda023ca6 maint: Use new C++ archetype in more files.
Rik <rik@octave.org>
parents: 20909
diff changeset
693 n_col = sm.cols ();
b17fda023ca6 maint: Use new C++ archetype in more files.
Rik <rik@octave.org>
parents: 20909
diff changeset
694 ridx = sm.xridx ();
b17fda023ca6 maint: Use new C++ archetype in more files.
Rik <rik@octave.org>
parents: 20909
diff changeset
695 cidx = sm.xcidx ();
b17fda023ca6 maint: Use new C++ archetype in more files.
Rik <rik@octave.org>
parents: 20909
diff changeset
696 }
20825
66cd994d1b79 eliminate return statements after calls to error
John W. Eaton <jwe@octave.org>
parents: 20790
diff changeset
697
66cd994d1b79 eliminate return statements after calls to error
John W. Eaton <jwe@octave.org>
parents: 20790
diff changeset
698 bool is_sym = true;
20790
c2d9556d51d0 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20700
diff changeset
699
c2d9556d51d0 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20700
diff changeset
700 if (nargin == 2)
c2d9556d51d0 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20700
diff changeset
701 {
c2d9556d51d0 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20700
diff changeset
702 std::string str = args(1).xstring_value ("etree: TYP must be a string");
c2d9556d51d0 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20700
diff changeset
703 if (str.find ("C") == 0 || str.find ("c") == 0)
c2d9556d51d0 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20700
diff changeset
704 is_sym = false;
c2d9556d51d0 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20700
diff changeset
705 }
c2d9556d51d0 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20700
diff changeset
706
c2d9556d51d0 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20700
diff changeset
707 // column elimination tree post-ordering (reuse variables)
c2d9556d51d0 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20700
diff changeset
708 OCTAVE_LOCAL_BUFFER (octave_idx_type, etree, n_col + 1);
c2d9556d51d0 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20700
diff changeset
709
c2d9556d51d0 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20700
diff changeset
710 if (is_sym)
c2d9556d51d0 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20700
diff changeset
711 {
c2d9556d51d0 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20700
diff changeset
712 if (n_row != n_col)
20825
66cd994d1b79 eliminate return statements after calls to error
John W. Eaton <jwe@octave.org>
parents: 20790
diff changeset
713 error ("etree: S is marked as symmetric, but is not square");
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
714
20790
c2d9556d51d0 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20700
diff changeset
715 symetree (ridx, cidx, etree, 0, n_col);
c2d9556d51d0 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20700
diff changeset
716 }
c2d9556d51d0 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20700
diff changeset
717 else
c2d9556d51d0 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20700
diff changeset
718 {
c2d9556d51d0 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20700
diff changeset
719 OCTAVE_LOCAL_BUFFER (octave_idx_type, colbeg, n_col);
c2d9556d51d0 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20700
diff changeset
720 OCTAVE_LOCAL_BUFFER (octave_idx_type, colend, n_col);
c2d9556d51d0 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20700
diff changeset
721
c2d9556d51d0 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20700
diff changeset
722 for (octave_idx_type i = 0; i < n_col; i++)
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
723 {
20790
c2d9556d51d0 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20700
diff changeset
724 colbeg[i] = cidx[i];
c2d9556d51d0 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20700
diff changeset
725 colend[i] = cidx[i+1];
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
726 }
7924
4976f66d469b miscellaneous cleanup
John W. Eaton <jwe@octave.org>
parents: 7520
diff changeset
727
20790
c2d9556d51d0 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20700
diff changeset
728 coletree (ridx, colbeg, colend, etree, n_row, n_col);
c2d9556d51d0 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20700
diff changeset
729 }
7924
4976f66d469b miscellaneous cleanup
John W. Eaton <jwe@octave.org>
parents: 7520
diff changeset
730
20790
c2d9556d51d0 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20700
diff changeset
731 NDArray tree (dim_vector (1, n_col));
c2d9556d51d0 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20700
diff changeset
732 for (octave_idx_type i = 0; i < n_col; i++)
c2d9556d51d0 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20700
diff changeset
733 // We flag a root with n_col while Matlab does it with zero
c2d9556d51d0 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20700
diff changeset
734 // Convert for matlab compatiable output
c2d9556d51d0 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20700
diff changeset
735 if (etree[i] == n_col)
c2d9556d51d0 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20700
diff changeset
736 tree(i) = 0;
c2d9556d51d0 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20700
diff changeset
737 else
c2d9556d51d0 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20700
diff changeset
738 tree(i) = etree[i] + 1;
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
739
20790
c2d9556d51d0 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20700
diff changeset
740 retval(0) = tree;
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
741
20790
c2d9556d51d0 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20700
diff changeset
742 if (nargout == 2)
c2d9556d51d0 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20700
diff changeset
743 {
c2d9556d51d0 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20700
diff changeset
744 // Calculate the tree post-ordering
c2d9556d51d0 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20700
diff changeset
745 OCTAVE_LOCAL_BUFFER (octave_idx_type, post, n_col + 1);
c2d9556d51d0 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20700
diff changeset
746 tree_postorder (n_col, etree, post);
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
747
20790
c2d9556d51d0 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20700
diff changeset
748 NDArray postorder (dim_vector (1, n_col));
c2d9556d51d0 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20700
diff changeset
749 for (octave_idx_type i = 0; i < n_col; i++)
c2d9556d51d0 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20700
diff changeset
750 postorder(i) = post[i] + 1;
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
751
20790
c2d9556d51d0 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20700
diff changeset
752 retval(1) = postorder;
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
753 }
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
754
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
755 return retval;
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
756 }
22407
34ce5be04942 maint: Style check C++ code in libinterp/.
Rik <rik@octave.org>
parents: 22323
diff changeset
757