annotate libinterp/dldfcn/colamd.cc @ 19731:4197fc428c7d

maint: Update copyright notices for 2015.
author John W. Eaton <jwe@octave.org>
date Wed, 11 Feb 2015 14:19:08 -0500
parents 0850b5212619
children 075a5e2e1ba5
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1 /*
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2
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3 Copyright (C) 2004-2015 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 the
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10 Free Software Foundation; either version 3 of the License, or (at your
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11 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 WITHOUT
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14 ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
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15 FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
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16 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 #ifdef 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 #include <vector>
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35
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36 #include "ov.h"
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37 #include "defun-dld.h"
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38 #include "pager.h"
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39 #include "ov-re-mat.h"
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40
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41 #include "ov-re-sparse.h"
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42 #include "ov-cx-sparse.h"
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43
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44 #include "oct-sparse.h"
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45 #include "oct-locbuf.h"
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46
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47 #ifdef USE_64_BIT_IDX_T
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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 register octave_idx_type p, gp;
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114
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115 p = pp[i];
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116 gp = pp[p];
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117
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118 while (gp != p)
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119 {
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120 pp[i] = gp;
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121 i = gp;
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122 p = pp[i];
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123 gp = pp[p];
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124 }
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125
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126 return p;
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127 }
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128
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129 static octave_idx_type
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130 etdfs (octave_idx_type v, octave_idx_type *first_kid,
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131 octave_idx_type *next_kid, octave_idx_type *post,
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132 octave_idx_type postnum)
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133 {
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134 for (octave_idx_type w = first_kid[v]; w != -1; w = next_kid[w])
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135 postnum = etdfs (w, first_kid, next_kid, post, postnum);
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136
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137 post[postnum++] = v;
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138
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139 return postnum;
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140 }
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141
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142 static void
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143 tree_postorder (octave_idx_type n, octave_idx_type *parent,
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144 octave_idx_type *post)
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145 {
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146 // Allocate storage for working arrays and results
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147 OCTAVE_LOCAL_BUFFER (octave_idx_type, first_kid, n+1);
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148 OCTAVE_LOCAL_BUFFER (octave_idx_type, next_kid, n+1);
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149
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150 // Set up structure describing children
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151 for (octave_idx_type v = 0; v <= n; first_kid[v++] = -1)
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152 /* do nothing */;
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153
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154 for (octave_idx_type v = n-1; v >= 0; v--)
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155 {
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156 octave_idx_type dad = parent[v];
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157 next_kid[v] = first_kid[dad];
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158 first_kid[dad] = v;
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159 }
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160
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161 // Depth-first search from dummy root vertex #n
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162 etdfs (n, first_kid, next_kid, post, 0);
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163 }
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164
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165 static void
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166 coletree (const octave_idx_type *ridx, const octave_idx_type *colbeg,
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167 octave_idx_type *colend, octave_idx_type *parent,
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168 octave_idx_type nr, octave_idx_type nc)
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169 {
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170 OCTAVE_LOCAL_BUFFER (octave_idx_type, root, nc);
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171 OCTAVE_LOCAL_BUFFER (octave_idx_type, pp, nc);
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172 OCTAVE_LOCAL_BUFFER (octave_idx_type, firstcol, nr);
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173
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174 // Compute firstcol[row] = first nonzero column in row
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175 for (octave_idx_type row = 0; row < nr; firstcol[row++] = nc)
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176 /* do nothing */;
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177
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178 for (octave_idx_type col = 0; col < nc; col++)
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179 for (octave_idx_type p = colbeg[col]; p < colend[col]; p++)
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180 {
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181 octave_idx_type row = ridx[p];
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182 if (firstcol[row] > col)
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183 firstcol[row] = col;
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184 }
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185
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186 // Compute etree by Liu's algorithm for symmetric matrices,
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187 // except use (firstcol[r],c) in place of an edge (r,c) of A.
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188 // Thus each row clique in A'*A is replaced by a star
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189 // centered at its first vertex, which has the same fill.
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190 for (octave_idx_type col = 0; col < nc; col++)
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191 {
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192 octave_idx_type cset = make_set (col, pp);
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193 root[cset] = col;
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194 parent[col] = nc;
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195 for (octave_idx_type p = colbeg[col]; p < colend[col]; p++)
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196 {
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197 octave_idx_type row = firstcol[ridx[p]];
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198 if (row >= col)
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199 continue;
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200 octave_idx_type rset = find (row, pp);
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201 octave_idx_type rroot = root[rset];
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202 if (rroot != col)
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203 {
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204 parent[rroot] = col;
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205 cset = link (cset, rset, pp);
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206 root[cset] = col;
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207 }
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208 }
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209 }
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210 }
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211
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212 DEFUN_DLD (colamd, args, nargout,
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213 "-*- texinfo -*-\n\
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214 @deftypefn {Loadable Function} {@var{p} =} colamd (@var{S})\n\
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215 @deftypefnx {Loadable Function} {@var{p} =} colamd (@var{S}, @var{knobs})\n\
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216 @deftypefnx {Loadable Function} {[@var{p}, @var{stats}] =} colamd (@var{S})\n\
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217 @deftypefnx {Loadable Function} {[@var{p}, @var{stats}] =} colamd (@var{S}, @var{knobs})\n\
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218 \n\
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219 Column approximate minimum degree permutation.\n\
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220 @code{@var{p} = colamd (@var{S})} returns the column approximate minimum\n\
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221 degree permutation vector for the sparse matrix @var{S}. For a\n\
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222 non-symmetric matrix @var{S}, @code{@var{S}(:,@var{p})} tends to have\n\
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223 sparser LU@tie{}factors than @var{S}. The Cholesky@tie{}factorization of\n\
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224 @code{@var{S}(:,@var{p})' * @var{S}(:,@var{p})} also tends to be sparser\n\
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225 than that of @code{@var{S}' * @var{S}}.\n\
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226 \n\
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227 @var{knobs} is an optional one- to three-element input vector. If @var{S} is\n\
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228 m-by-n, then rows with more than @code{max(16,@var{knobs}(1)*sqrt(n))}\n\
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229 entries are ignored. Columns with more than\n\
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230 @code{max (16,@var{knobs}(2)*sqrt(min(m,n)))} entries are removed prior to\n\
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231 ordering, and ordered last in the output permutation @var{p}. Only\n\
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232 completely dense rows or columns are removed if @code{@var{knobs}(1)} and\n\
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233 @code{@var{knobs}(2)} are < 0, respectively. If @code{@var{knobs}(3)} is\n\
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234 nonzero, @var{stats} and @var{knobs} are printed. The default is\n\
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235 @code{@var{knobs} = [10 10 0]}. Note that @var{knobs} differs from earlier\n\
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236 versions of colamd.\n\
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237 \n\
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238 @var{stats} is an optional 20-element output vector that provides data\n\
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239 about the ordering and the validity of the input matrix @var{S}. Ordering\n\
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240 statistics are in @code{@var{stats}(1:3)}. @code{@var{stats}(1)} and\n\
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241 @code{@var{stats}(2)} are the number of dense or empty rows and columns\n\
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242 ignored by @sc{colamd} and @code{@var{stats}(3)} is the number of garbage\n\
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243 collections performed on the internal data structure used by @sc{colamd}\n\
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244 (roughly of size @code{2.2 * nnz(@var{S}) + 4 * @var{m} + 7 * @var{n}}\n\
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245 integers).\n\
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246 \n\
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247 Octave built-in functions are intended to generate valid sparse matrices,\n\
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248 with no duplicate entries, with ascending row indices of the nonzeros\n\
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249 in each column, with a non-negative number of entries in each column (!)\n\
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250 and so on. If a matrix is invalid, then @sc{colamd} may or may not be able\n\
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251 to continue. If there are duplicate entries (a row index appears two or\n\
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252 more times in the same column) or if the row indices in a column are out\n\
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253 of order, then @sc{colamd} can correct these errors by ignoring the duplicate\n\
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254 entries and sorting each column of its internal copy of the matrix\n\
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255 @var{S} (the input matrix @var{S} is not repaired, however). If a matrix\n\
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256 is invalid in other ways then @sc{colamd} cannot continue, an error message\n\
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257 is printed, and no output arguments (@var{p} or @var{stats}) are returned.\n\
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258 @sc{colamd} is thus a simple way to check a sparse matrix to see if it's\n\
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259 valid.\n\
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260 \n\
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261 @code{@var{stats}(4:7)} provide information if COLAMD was able to\n\
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262 continue. The matrix is OK if @code{@var{stats}(4)} is zero, or 1 if\n\
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263 invalid. @code{@var{stats}(5)} is the rightmost column index that is\n\
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264 unsorted or contains duplicate entries, or zero if no such column exists.\n\
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265 @code{@var{stats}(6)} is the last seen duplicate or out-of-order row\n\
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266 index in the column index given by @code{@var{stats}(5)}, or zero if no\n\
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267 such row index exists. @code{@var{stats}(7)} is the number of duplicate\n\
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268 or out-of-order row indices. @code{@var{stats}(8:20)} is always zero in\n\
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269 the current version of @sc{colamd} (reserved for future use).\n\
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270 \n\
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271 The ordering is followed by a column elimination tree post-ordering.\n\
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272 \n\
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273 The authors of the code itself are @nospell{Stefan I. Larimore} and\n\
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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},\n\
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275 Xerox PARC, and @nospell{Esmond Ng}, Oak Ridge National Laboratory. (see\n\
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jwe
parents:
diff changeset
276 @url{http://www.cise.ufl.edu/research/sparse/colamd})\n\
11553
01f703952eff Improve docstrings for functions in DLD-FUNCTIONS directory.
Rik <octave@nomad.inbox5.com>
parents: 11523
diff changeset
277 @seealso{colperm, symamd, ccolamd}\n\
5642
2618a0750ae6 [project @ 2006-03-06 21:26:48 by jwe]
jwe
parents: 5631
diff changeset
278 @end deftypefn")
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
279 {
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
280 octave_value_list retval;
5451
ed08548b9054 [project @ 2005-09-15 19:52:50 by jwe]
jwe
parents: 5440
diff changeset
281
ed08548b9054 [project @ 2005-09-15 19:52:50 by jwe]
jwe
parents: 5440
diff changeset
282 #ifdef HAVE_COLAMD
ed08548b9054 [project @ 2005-09-15 19:52:50 by jwe]
jwe
parents: 5440
diff changeset
283
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
284 int nargin = args.length ();
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
285 int spumoni = 0;
11586
12df7854fa7c strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents: 11553
diff changeset
286
10282
c9780d8e228c fix invalid checks in amd functions
Jaroslav Hajek <highegg@gmail.com>
parents: 10155
diff changeset
287 if (nargout > 2 || nargin < 1 || nargin > 2)
5823
080c08b192d8 [project @ 2006-05-19 05:32:17 by jwe]
jwe
parents: 5760
diff changeset
288 print_usage ();
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
289 else
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
290 {
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
291 // Get knobs
11586
12df7854fa7c strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents: 11553
diff changeset
292 OCTAVE_LOCAL_BUFFER (double, knobs, COLAMD_KNOBS);
5440
b73d469ef0c9 [project @ 2005-09-04 12:31:45 by dbateman]
dbateman
parents: 5307
diff changeset
293 COLAMD_NAME (_set_defaults) (knobs);
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
294
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
295 // Check for user-passed knobs
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
296 if (nargin == 2)
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
297 {
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
298 NDArray User_knobs = args(1).array_value ();
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
299 int nel_User_knobs = User_knobs.length ();
11586
12df7854fa7c strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents: 11553
diff changeset
300
12df7854fa7c strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents: 11553
diff changeset
301 if (nel_User_knobs > 0)
15020
560317fd5977 maint: Cuddle open bracket used for indexing C++ arrays in source code.
Rik <rik@octave.org>
parents: 14854
diff changeset
302 knobs[COLAMD_DENSE_ROW] = User_knobs(0);
11586
12df7854fa7c strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents: 11553
diff changeset
303 if (nel_User_knobs > 1)
15020
560317fd5977 maint: Cuddle open bracket used for indexing C++ arrays in source code.
Rik <rik@octave.org>
parents: 14854
diff changeset
304 knobs[COLAMD_DENSE_COL] = User_knobs(1) ;
11586
12df7854fa7c strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents: 11553
diff changeset
305 if (nel_User_knobs > 2)
15020
560317fd5977 maint: Cuddle open bracket used for indexing C++ arrays in source code.
Rik <rik@octave.org>
parents: 14854
diff changeset
306 spumoni = static_cast<int> (User_knobs(2));
5440
b73d469ef0c9 [project @ 2005-09-04 12:31:45 by dbateman]
dbateman
parents: 5307
diff changeset
307
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
308 // print knob settings if spumoni is set
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
309 if (spumoni)
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
310 {
5440
b73d469ef0c9 [project @ 2005-09-04 12:31:45 by dbateman]
dbateman
parents: 5307
diff changeset
311
17787
175b392e91fe Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents: 17744
diff changeset
312 octave_stdout << "\ncolamd version " << COLAMD_MAIN_VERSION
175b392e91fe Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents: 17744
diff changeset
313 << "." << COLAMD_SUB_VERSION
175b392e91fe Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents: 17744
diff changeset
314 << ", " << COLAMD_DATE << ":\n";
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
315
15020
560317fd5977 maint: Cuddle open bracket used for indexing C++ arrays in source code.
Rik <rik@octave.org>
parents: 14854
diff changeset
316 if (knobs[COLAMD_DENSE_ROW] >= 0)
11586
12df7854fa7c strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents: 11553
diff changeset
317 octave_stdout << "knobs(1): " << User_knobs (0)
14854
5ae9f0f77635 maint: Use Octave coding conventions for coddling parenthis is DLD-FUNCTIONS directory
Rik <octave@nomad.inbox5.com>
parents: 14361
diff changeset
318 << ", rows with > max (16,"
15020
560317fd5977 maint: Cuddle open bracket used for indexing C++ arrays in source code.
Rik <rik@octave.org>
parents: 14854
diff changeset
319 << knobs[COLAMD_DENSE_ROW] << "*sqrt (size(A,2)))"
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
320 << " entries removed\n";
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
321 else
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
322 octave_stdout << "knobs(1): " << User_knobs (0)
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
323 << ", only completely dense rows removed\n";
5440
b73d469ef0c9 [project @ 2005-09-04 12:31:45 by dbateman]
dbateman
parents: 5307
diff changeset
324
15020
560317fd5977 maint: Cuddle open bracket used for indexing C++ arrays in source code.
Rik <rik@octave.org>
parents: 14854
diff changeset
325 if (knobs[COLAMD_DENSE_COL] >= 0)
11586
12df7854fa7c strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents: 11553
diff changeset
326 octave_stdout << "knobs(2): " << User_knobs (1)
14854
5ae9f0f77635 maint: Use Octave coding conventions for coddling parenthis is DLD-FUNCTIONS directory
Rik <octave@nomad.inbox5.com>
parents: 14361
diff changeset
327 << ", cols with > max (16,"
15020
560317fd5977 maint: Cuddle open bracket used for indexing C++ arrays in source code.
Rik <rik@octave.org>
parents: 14854
diff changeset
328 << knobs[COLAMD_DENSE_COL] << "*sqrt (size(A)))"
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
329 << " entries removed\n";
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
330 else
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
331 octave_stdout << "knobs(2): " << User_knobs (1)
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
332 << ", only completely dense columns removed\n";
5440
b73d469ef0c9 [project @ 2005-09-04 12:31:45 by dbateman]
dbateman
parents: 5307
diff changeset
333
11586
12df7854fa7c strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents: 11553
diff changeset
334 octave_stdout << "knobs(3): " << User_knobs (2)
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
335 << ", statistics and knobs printed\n";
5440
b73d469ef0c9 [project @ 2005-09-04 12:31:45 by dbateman]
dbateman
parents: 5307
diff changeset
336
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
337 }
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
338 }
11586
12df7854fa7c strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents: 11553
diff changeset
339
5440
b73d469ef0c9 [project @ 2005-09-04 12:31:45 by dbateman]
dbateman
parents: 5307
diff changeset
340 octave_idx_type n_row, n_col, nnz;
b73d469ef0c9 [project @ 2005-09-04 12:31:45 by dbateman]
dbateman
parents: 5307
diff changeset
341 octave_idx_type *ridx, *cidx;
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
342 SparseComplexMatrix scm;
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
343 SparseMatrix sm;
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
344
5631
7171d19706df [project @ 2006-02-22 20:15:06 by dbateman]
dbateman
parents: 5604
diff changeset
345 if (args(0).is_sparse_type ())
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
346 {
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
347 if (args(0).is_complex_type ())
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
348 {
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
349 scm = args(0). sparse_complex_matrix_value ();
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
350 n_row = scm.rows ();
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
351 n_col = scm.cols ();
10527
b4d2080b6df7 Replace nzmax by nnz as needed
David Bateman <dbateman@free.fr>
parents: 10282
diff changeset
352 nnz = scm.nnz ();
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
353 ridx = scm.xridx ();
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
354 cidx = scm.xcidx ();
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
355 }
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
356 else
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
357 {
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
358 sm = args(0).sparse_matrix_value ();
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
359
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
360 n_row = sm.rows ();
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
361 n_col = sm.cols ();
10527
b4d2080b6df7 Replace nzmax by nnz as needed
David Bateman <dbateman@free.fr>
parents: 10282
diff changeset
362 nnz = sm.nnz ();
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
363 ridx = sm.xridx ();
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
364 cidx = sm.xcidx ();
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
365 }
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
366 }
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
367 else
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
368 {
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
369 if (args(0).is_complex_type ())
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
370 sm = SparseMatrix (real (args(0).complex_matrix_value ()));
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
371 else
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
372 sm = SparseMatrix (args(0).matrix_value ());
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
373
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
374 n_row = sm.rows ();
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
375 n_col = sm.cols ();
10527
b4d2080b6df7 Replace nzmax by nnz as needed
David Bateman <dbateman@free.fr>
parents: 10282
diff changeset
376 nnz = sm.nnz ();
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
377 ridx = sm.xridx ();
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
378 cidx = sm.xcidx ();
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
379 }
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
380
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
381 // Allocate workspace for colamd
5440
b73d469ef0c9 [project @ 2005-09-04 12:31:45 by dbateman]
dbateman
parents: 5307
diff changeset
382 OCTAVE_LOCAL_BUFFER (octave_idx_type, p, n_col+1);
b73d469ef0c9 [project @ 2005-09-04 12:31:45 by dbateman]
dbateman
parents: 5307
diff changeset
383 for (octave_idx_type i = 0; i < n_col+1; i++)
15020
560317fd5977 maint: Cuddle open bracket used for indexing C++ arrays in source code.
Rik <rik@octave.org>
parents: 14854
diff changeset
384 p[i] = cidx[i];
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
385
5440
b73d469ef0c9 [project @ 2005-09-04 12:31:45 by dbateman]
dbateman
parents: 5307
diff changeset
386 octave_idx_type Alen = COLAMD_NAME (_recommended) (nnz, n_row, n_col);
b73d469ef0c9 [project @ 2005-09-04 12:31:45 by dbateman]
dbateman
parents: 5307
diff changeset
387 OCTAVE_LOCAL_BUFFER (octave_idx_type, A, Alen);
b73d469ef0c9 [project @ 2005-09-04 12:31:45 by dbateman]
dbateman
parents: 5307
diff changeset
388 for (octave_idx_type i = 0; i < nnz; i++)
15020
560317fd5977 maint: Cuddle open bracket used for indexing C++ arrays in source code.
Rik <rik@octave.org>
parents: 14854
diff changeset
389 A[i] = ridx[i];
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
390
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
391 // Order the columns (destroys A)
5440
b73d469ef0c9 [project @ 2005-09-04 12:31:45 by dbateman]
dbateman
parents: 5307
diff changeset
392 OCTAVE_LOCAL_BUFFER (octave_idx_type, stats, COLAMD_STATS);
b73d469ef0c9 [project @ 2005-09-04 12:31:45 by dbateman]
dbateman
parents: 5307
diff changeset
393 if (! COLAMD_NAME () (n_row, n_col, Alen, A, p, knobs, stats))
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
394 {
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
395 COLAMD_NAME (_report) (stats) ;
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
396 error ("colamd: internal error!");
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
397 return retval;
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
398 }
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
399
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
400 // column elimination tree post-ordering (reuse variables)
5440
b73d469ef0c9 [project @ 2005-09-04 12:31:45 by dbateman]
dbateman
parents: 5307
diff changeset
401 OCTAVE_LOCAL_BUFFER (octave_idx_type, colbeg, n_col + 1);
b73d469ef0c9 [project @ 2005-09-04 12:31:45 by dbateman]
dbateman
parents: 5307
diff changeset
402 OCTAVE_LOCAL_BUFFER (octave_idx_type, colend, n_col + 1);
b73d469ef0c9 [project @ 2005-09-04 12:31:45 by dbateman]
dbateman
parents: 5307
diff changeset
403 OCTAVE_LOCAL_BUFFER (octave_idx_type, etree, n_col + 1);
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
404
5440
b73d469ef0c9 [project @ 2005-09-04 12:31:45 by dbateman]
dbateman
parents: 5307
diff changeset
405 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
406 {
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
407 colbeg[i] = cidx[p[i]];
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
408 colend[i] = cidx[p[i]+1];
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
409 }
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
410
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
411 coletree (ridx, colbeg, colend, etree, n_row, n_col);
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
412
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
413 // Calculate the tree post-ordering
7924
4976f66d469b miscellaneous cleanup
John W. Eaton <jwe@octave.org>
parents: 7520
diff changeset
414 tree_postorder (n_col, etree, colbeg);
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
415
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
416 // return the permutation vector
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
417 NDArray out_perm (dim_vector (1, n_col));
5440
b73d469ef0c9 [project @ 2005-09-04 12:31:45 by dbateman]
dbateman
parents: 5307
diff changeset
418 for (octave_idx_type i = 0; i < n_col; i++)
15020
560317fd5977 maint: Cuddle open bracket used for indexing C++ arrays in source code.
Rik <rik@octave.org>
parents: 14854
diff changeset
419 out_perm(i) = p[colbeg[i]] + 1;
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
420
7924
4976f66d469b miscellaneous cleanup
John W. Eaton <jwe@octave.org>
parents: 7520
diff changeset
421 retval(0) = out_perm;
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
422
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
423 // print stats if spumoni > 0
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
424 if (spumoni > 0)
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
425 COLAMD_NAME (_report) (stats) ;
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
426
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
427 // Return the stats vector
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
428 if (nargout == 2)
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
429 {
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
430 NDArray out_stats (dim_vector (1, COLAMD_STATS));
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
431 for (octave_idx_type i = 0 ; i < COLAMD_STATS ; i++)
15020
560317fd5977 maint: Cuddle open bracket used for indexing C++ arrays in source code.
Rik <rik@octave.org>
parents: 14854
diff changeset
432 out_stats(i) = stats[i] ;
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
433 retval(1) = out_stats;
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
434
11586
12df7854fa7c strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents: 11553
diff changeset
435 // fix stats (5) and (6), for 1-based information on
12df7854fa7c strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents: 11553
diff changeset
436 // jumbled matrix. note that this correction doesn't
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
437 // occur if symamd returns FALSE
11586
12df7854fa7c strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents: 11553
diff changeset
438 out_stats (COLAMD_INFO1) ++ ;
12df7854fa7c strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents: 11553
diff changeset
439 out_stats (COLAMD_INFO2) ++ ;
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
440 }
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
441 }
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
442
5451
ed08548b9054 [project @ 2005-09-15 19:52:50 by jwe]
jwe
parents: 5440
diff changeset
443 #else
ed08548b9054 [project @ 2005-09-15 19:52:50 by jwe]
jwe
parents: 5440
diff changeset
444
ed08548b9054 [project @ 2005-09-15 19:52:50 by jwe]
jwe
parents: 5440
diff changeset
445 error ("colamd: not available in this version of Octave");
ed08548b9054 [project @ 2005-09-15 19:52:50 by jwe]
jwe
parents: 5440
diff changeset
446
ed08548b9054 [project @ 2005-09-15 19:52:50 by jwe]
jwe
parents: 5440
diff changeset
447 #endif
ed08548b9054 [project @ 2005-09-15 19:52:50 by jwe]
jwe
parents: 5440
diff changeset
448
5164
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jwe
parents:
diff changeset
449 return retval;
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
450 }
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
451
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
452 DEFUN_DLD (symamd, args, nargout,
17787
175b392e91fe Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents: 17744
diff changeset
453 "-*- texinfo -*-\n\
11553
01f703952eff Improve docstrings for functions in DLD-FUNCTIONS directory.
Rik <octave@nomad.inbox5.com>
parents: 11523
diff changeset
454 @deftypefn {Loadable Function} {@var{p} =} symamd (@var{S})\n\
01f703952eff Improve docstrings for functions in DLD-FUNCTIONS directory.
Rik <octave@nomad.inbox5.com>
parents: 11523
diff changeset
455 @deftypefnx {Loadable Function} {@var{p} =} symamd (@var{S}, @var{knobs})\n\
01f703952eff Improve docstrings for functions in DLD-FUNCTIONS directory.
Rik <octave@nomad.inbox5.com>
parents: 11523
diff changeset
456 @deftypefnx {Loadable Function} {[@var{p}, @var{stats}] =} symamd (@var{S})\n\
01f703952eff Improve docstrings for functions in DLD-FUNCTIONS directory.
Rik <octave@nomad.inbox5.com>
parents: 11523
diff changeset
457 @deftypefnx {Loadable Function} {[@var{p}, @var{stats}] =} symamd (@var{S}, @var{knobs})\n\
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
458 \n\
11553
01f703952eff Improve docstrings for functions in DLD-FUNCTIONS directory.
Rik <octave@nomad.inbox5.com>
parents: 11523
diff changeset
459 For a symmetric positive definite matrix @var{S}, returns the permutation\n\
01f703952eff Improve docstrings for functions in DLD-FUNCTIONS directory.
Rik <octave@nomad.inbox5.com>
parents: 11523
diff changeset
460 vector p such that @code{@var{S}(@var{p}, @var{p})} tends to have a\n\
01f703952eff Improve docstrings for functions in DLD-FUNCTIONS directory.
Rik <octave@nomad.inbox5.com>
parents: 11523
diff changeset
461 sparser Cholesky@tie{}factor than @var{S}. Sometimes @code{symamd} works\n\
01f703952eff Improve docstrings for functions in DLD-FUNCTIONS directory.
Rik <octave@nomad.inbox5.com>
parents: 11523
diff changeset
462 well for symmetric indefinite matrices too. The matrix @var{S} is assumed\n\
12642
f96b9b9f141b doc: Periodic grammarcheck and spellcheck of documentation.
Rik <octave@nomad.inbox5.com>
parents: 12575
diff changeset
463 to be symmetric; only the strictly lower triangular part is referenced.\n\
11553
01f703952eff Improve docstrings for functions in DLD-FUNCTIONS directory.
Rik <octave@nomad.inbox5.com>
parents: 11523
diff changeset
464 @var{S} must be square.\n\
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
465 \n\
11553
01f703952eff Improve docstrings for functions in DLD-FUNCTIONS directory.
Rik <octave@nomad.inbox5.com>
parents: 11523
diff changeset
466 @var{knobs} is an optional one- to two-element input vector. If @var{S} is\n\
5440
b73d469ef0c9 [project @ 2005-09-04 12:31:45 by dbateman]
dbateman
parents: 5307
diff changeset
467 n-by-n, then rows and columns with more than\n\
14854
5ae9f0f77635 maint: Use Octave coding conventions for coddling parenthis is DLD-FUNCTIONS directory
Rik <octave@nomad.inbox5.com>
parents: 14361
diff changeset
468 @code{max (16,@var{knobs}(1)*sqrt(n))} entries are removed prior to ordering,\n\
9064
7c02ec148a3c Check grammar on all .cc files
Rik <rdrider0-list@yahoo.com>
parents: 8920
diff changeset
469 and ordered last in the output permutation @var{p}. No rows/columns are\n\
5440
b73d469ef0c9 [project @ 2005-09-04 12:31:45 by dbateman]
dbateman
parents: 5307
diff changeset
470 removed if @code{@var{knobs}(1) < 0}. If @code{@var{knobs} (2)} is nonzero,\n\
12642
f96b9b9f141b doc: Periodic grammarcheck and spellcheck of documentation.
Rik <octave@nomad.inbox5.com>
parents: 12575
diff changeset
471 @code{stats} and @var{knobs} are printed. The default is @code{@var{knobs}\n\
5440
b73d469ef0c9 [project @ 2005-09-04 12:31:45 by dbateman]
dbateman
parents: 5307
diff changeset
472 = [10 0]}. Note that @var{knobs} differs from earlier versions of symamd.\n\
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
473 \n\
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
474 @var{stats} is an optional 20-element output vector that provides data\n\
11553
01f703952eff Improve docstrings for functions in DLD-FUNCTIONS directory.
Rik <octave@nomad.inbox5.com>
parents: 11523
diff changeset
475 about the ordering and the validity of the input matrix @var{S}. Ordering\n\
01f703952eff Improve docstrings for functions in DLD-FUNCTIONS directory.
Rik <octave@nomad.inbox5.com>
parents: 11523
diff changeset
476 statistics are in @code{@var{stats}(1:3)}. @code{@var{stats}(1) =\n\
01f703952eff Improve docstrings for functions in DLD-FUNCTIONS directory.
Rik <octave@nomad.inbox5.com>
parents: 11523
diff changeset
477 @var{stats}(2)} is the number of dense or empty rows and columns\n\
01f703952eff Improve docstrings for functions in DLD-FUNCTIONS directory.
Rik <octave@nomad.inbox5.com>
parents: 11523
diff changeset
478 ignored by SYMAMD and @code{@var{stats}(3)} is the number of garbage\n\
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
479 collections performed on the internal data structure used by SYMAMD\n\
11553
01f703952eff Improve docstrings for functions in DLD-FUNCTIONS directory.
Rik <octave@nomad.inbox5.com>
parents: 11523
diff changeset
480 (roughly of size @code{8.4 * nnz (tril (@var{S}, -1)) + 9 * @var{n}}\n\
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
481 integers).\n\
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
482 \n\
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
483 Octave built-in functions are intended to generate valid sparse matrices,\n\
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
484 with no duplicate entries, with ascending row indices of the nonzeros\n\
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
485 in each column, with a non-negative number of entries in each column (!)\n\
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
486 and so on. If a matrix is invalid, then SYMAMD may or may not be able\n\
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
487 to continue. If there are duplicate entries (a row index appears two or\n\
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
488 more times in the same column) or if the row indices in a column are out\n\
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
489 of order, then SYMAMD can correct these errors by ignoring the duplicate\n\
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
490 entries and sorting each column of its internal copy of the matrix S (the\n\
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
491 input matrix S is not repaired, however). If a matrix is invalid in\n\
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
492 other ways then SYMAMD cannot continue, an error message is printed, and\n\
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
493 no output arguments (@var{p} or @var{stats}) are returned. SYMAMD is\n\
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
494 thus a simple way to check a sparse matrix to see if it's valid.\n\
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
495 \n\
11553
01f703952eff Improve docstrings for functions in DLD-FUNCTIONS directory.
Rik <octave@nomad.inbox5.com>
parents: 11523
diff changeset
496 @code{@var{stats}(4:7)} provide information if SYMAMD was able to\n\
9064
7c02ec148a3c Check grammar on all .cc files
Rik <rdrider0-list@yahoo.com>
parents: 8920
diff changeset
497 continue. The matrix is OK if @code{@var{stats} (4)} is zero, or 1\n\
11553
01f703952eff Improve docstrings for functions in DLD-FUNCTIONS directory.
Rik <octave@nomad.inbox5.com>
parents: 11523
diff changeset
498 if invalid. @code{@var{stats}(5)} is the rightmost column index that\n\
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
499 is unsorted or contains duplicate entries, or zero if no such column\n\
11553
01f703952eff Improve docstrings for functions in DLD-FUNCTIONS directory.
Rik <octave@nomad.inbox5.com>
parents: 11523
diff changeset
500 exists. @code{@var{stats}(6)} is the last seen duplicate or out-of-order\n\
01f703952eff Improve docstrings for functions in DLD-FUNCTIONS directory.
Rik <octave@nomad.inbox5.com>
parents: 11523
diff changeset
501 row index in the column index given by @code{@var{stats}(5)}, or zero\n\
01f703952eff Improve docstrings for functions in DLD-FUNCTIONS directory.
Rik <octave@nomad.inbox5.com>
parents: 11523
diff changeset
502 if no such row index exists. @code{@var{stats}(7)} is the number of\n\
01f703952eff Improve docstrings for functions in DLD-FUNCTIONS directory.
Rik <octave@nomad.inbox5.com>
parents: 11523
diff changeset
503 duplicate or out-of-order row indices. @code{@var{stats}(8:20)} is\n\
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
504 always zero in the current version of SYMAMD (reserved for future use).\n\
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
505 \n\
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
506 The ordering is followed by a column elimination tree post-ordering.\n\
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
507 \n\
19074
0850b5212619 doc: Add @nospell macro around proper names in documentation.
Rik <rik@octave.org>
parents: 17787
diff changeset
508 The authors of the code itself are @nospell{Stefan I. Larimore} and\n\
0850b5212619 doc: Add @nospell macro around proper names in documentation.
Rik <rik@octave.org>
parents: 17787
diff changeset
509 @nospell{Timothy A. Davis @email{davis@@cise.ufl.edu}}, University of Florida. The algorithm was developed in collaboration with @nospell{John Gilbert},\n\
0850b5212619 doc: Add @nospell macro around proper names in documentation.
Rik <rik@octave.org>
parents: 17787
diff changeset
510 Xerox PARC, and @nospell{Esmond Ng}, Oak Ridge National Laboratory. (see\n\
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
511 @url{http://www.cise.ufl.edu/research/sparse/colamd})\n\
5642
2618a0750ae6 [project @ 2006-03-06 21:26:48 by jwe]
jwe
parents: 5631
diff changeset
512 @seealso{colperm, colamd}\n\
2618a0750ae6 [project @ 2006-03-06 21:26:48 by jwe]
jwe
parents: 5631
diff changeset
513 @end deftypefn")
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
514 {
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
515 octave_value_list retval;
5451
ed08548b9054 [project @ 2005-09-15 19:52:50 by jwe]
jwe
parents: 5440
diff changeset
516
ed08548b9054 [project @ 2005-09-15 19:52:50 by jwe]
jwe
parents: 5440
diff changeset
517 #ifdef HAVE_COLAMD
ed08548b9054 [project @ 2005-09-15 19:52:50 by jwe]
jwe
parents: 5440
diff changeset
518
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
519 int nargin = args.length ();
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
520 int spumoni = 0;
11586
12df7854fa7c strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents: 11553
diff changeset
521
10282
c9780d8e228c fix invalid checks in amd functions
Jaroslav Hajek <highegg@gmail.com>
parents: 10155
diff changeset
522 if (nargout > 2 || nargin < 1 || nargin > 2)
5823
080c08b192d8 [project @ 2006-05-19 05:32:17 by jwe]
jwe
parents: 5760
diff changeset
523 print_usage ();
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
524 else
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
525 {
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
526 // Get knobs
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
527 OCTAVE_LOCAL_BUFFER (double, knobs, COLAMD_KNOBS);
5440
b73d469ef0c9 [project @ 2005-09-04 12:31:45 by dbateman]
dbateman
parents: 5307
diff changeset
528 COLAMD_NAME (_set_defaults) (knobs);
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
529
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
530 // Check for user-passed knobs
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
531 if (nargin == 2)
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
532 {
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
533 NDArray User_knobs = args(1).array_value ();
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
534 int nel_User_knobs = User_knobs.length ();
11586
12df7854fa7c strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents: 11553
diff changeset
535
12df7854fa7c strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents: 11553
diff changeset
536 if (nel_User_knobs > 0)
15020
560317fd5977 maint: Cuddle open bracket used for indexing C++ arrays in source code.
Rik <rik@octave.org>
parents: 14854
diff changeset
537 knobs[COLAMD_DENSE_ROW] = User_knobs(COLAMD_DENSE_ROW);
11586
12df7854fa7c strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents: 11553
diff changeset
538 if (nel_User_knobs > 1)
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
539 spumoni = static_cast<int> (User_knobs (1));
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
540 }
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
541
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
542 // print knob settings if spumoni is set
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
543 if (spumoni > 0)
11586
12df7854fa7c strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents: 11553
diff changeset
544 octave_stdout << "symamd: dense row/col fraction: "
15020
560317fd5977 maint: Cuddle open bracket used for indexing C++ arrays in source code.
Rik <rik@octave.org>
parents: 14854
diff changeset
545 << knobs[COLAMD_DENSE_ROW] << std::endl;
11586
12df7854fa7c strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents: 11553
diff changeset
546
13219
cf5ebc0e47e4 fix warnings for unused but set variables and shadowed variables
John W. Eaton <jwe@octave.org>
parents: 12642
diff changeset
547 octave_idx_type n_row, n_col;
5440
b73d469ef0c9 [project @ 2005-09-04 12:31:45 by dbateman]
dbateman
parents: 5307
diff changeset
548 octave_idx_type *ridx, *cidx;
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
549 SparseMatrix sm;
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
550 SparseComplexMatrix scm;
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
551
5631
7171d19706df [project @ 2006-02-22 20:15:06 by dbateman]
dbateman
parents: 5604
diff changeset
552 if (args(0).is_sparse_type ())
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
553 {
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
554 if (args(0).is_complex_type ())
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
555 {
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
556 scm = args(0).sparse_complex_matrix_value ();
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
557 n_row = scm.rows ();
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
558 n_col = scm.cols ();
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
559 ridx = scm.xridx ();
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
560 cidx = scm.xcidx ();
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
561 }
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
562 else
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
563 {
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
564 sm = args(0).sparse_matrix_value ();
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
565 n_row = sm.rows ();
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
566 n_col = sm.cols ();
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
567 ridx = sm.xridx ();
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
568 cidx = sm.xcidx ();
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
569 }
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
570 }
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
571 else
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
572 {
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
573 if (args(0).is_complex_type ())
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
574 sm = SparseMatrix (real (args(0).complex_matrix_value ()));
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
575 else
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
576 sm = SparseMatrix (args(0).matrix_value ());
11586
12df7854fa7c strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents: 11553
diff changeset
577
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
578 n_row = sm.rows ();
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
579 n_col = sm.cols ();
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
580 ridx = sm.xridx ();
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
581 cidx = sm.xcidx ();
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
582 }
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
583
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
584 if (n_row != n_col)
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
585 {
11553
01f703952eff Improve docstrings for functions in DLD-FUNCTIONS directory.
Rik <octave@nomad.inbox5.com>
parents: 11523
diff changeset
586 error ("symamd: matrix S must be square");
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
587 return retval;
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
588 }
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
589
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
590 // Allocate workspace for symamd
5440
b73d469ef0c9 [project @ 2005-09-04 12:31:45 by dbateman]
dbateman
parents: 5307
diff changeset
591 OCTAVE_LOCAL_BUFFER (octave_idx_type, perm, n_col+1);
b73d469ef0c9 [project @ 2005-09-04 12:31:45 by dbateman]
dbateman
parents: 5307
diff changeset
592 OCTAVE_LOCAL_BUFFER (octave_idx_type, stats, COLAMD_STATS);
17787
175b392e91fe Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents: 17744
diff changeset
593 if (!SYMAMD_NAME () (n_col, ridx, cidx, perm,
175b392e91fe Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents: 17744
diff changeset
594 knobs, stats, &calloc, &free))
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
595 {
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
596 SYMAMD_NAME (_report) (stats) ;
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
597 error ("symamd: internal error!") ;
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
598 return retval;
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
599 }
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
600
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
601 // column elimination tree post-ordering
5440
b73d469ef0c9 [project @ 2005-09-04 12:31:45 by dbateman]
dbateman
parents: 5307
diff changeset
602 OCTAVE_LOCAL_BUFFER (octave_idx_type, etree, n_col + 1);
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
603 symetree (ridx, cidx, etree, perm, n_col);
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
604
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
605 // Calculate the tree post-ordering
5440
b73d469ef0c9 [project @ 2005-09-04 12:31:45 by dbateman]
dbateman
parents: 5307
diff changeset
606 OCTAVE_LOCAL_BUFFER (octave_idx_type, post, n_col + 1);
7924
4976f66d469b miscellaneous cleanup
John W. Eaton <jwe@octave.org>
parents: 7520
diff changeset
607 tree_postorder (n_col, etree, post);
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
608
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
609 // return the permutation vector
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
610 NDArray out_perm (dim_vector (1, n_col));
5440
b73d469ef0c9 [project @ 2005-09-04 12:31:45 by dbateman]
dbateman
parents: 5307
diff changeset
611 for (octave_idx_type i = 0; i < n_col; i++)
15020
560317fd5977 maint: Cuddle open bracket used for indexing C++ arrays in source code.
Rik <rik@octave.org>
parents: 14854
diff changeset
612 out_perm(i) = perm[post[i]] + 1;
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
613
7924
4976f66d469b miscellaneous cleanup
John W. Eaton <jwe@octave.org>
parents: 7520
diff changeset
614 retval(0) = out_perm;
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
615
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
616 // print stats if spumoni > 0
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
617 if (spumoni > 0)
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
618 SYMAMD_NAME (_report) (stats) ;
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
619
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
620 // Return the stats vector
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
621 if (nargout == 2)
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
622 {
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
623 NDArray out_stats (dim_vector (1, COLAMD_STATS));
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
624 for (octave_idx_type i = 0 ; i < COLAMD_STATS ; i++)
15020
560317fd5977 maint: Cuddle open bracket used for indexing C++ arrays in source code.
Rik <rik@octave.org>
parents: 14854
diff changeset
625 out_stats(i) = stats[i] ;
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
626 retval(1) = out_stats;
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
627
11586
12df7854fa7c strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents: 11553
diff changeset
628 // fix stats (5) and (6), for 1-based information on
12df7854fa7c strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents: 11553
diff changeset
629 // jumbled matrix. note that this correction doesn't
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
630 // occur if symamd returns FALSE
11586
12df7854fa7c strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents: 11553
diff changeset
631 out_stats (COLAMD_INFO1) ++ ;
12df7854fa7c strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents: 11553
diff changeset
632 out_stats (COLAMD_INFO2) ++ ;
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
633 }
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
634 }
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
635
5451
ed08548b9054 [project @ 2005-09-15 19:52:50 by jwe]
jwe
parents: 5440
diff changeset
636 #else
ed08548b9054 [project @ 2005-09-15 19:52:50 by jwe]
jwe
parents: 5440
diff changeset
637
ed08548b9054 [project @ 2005-09-15 19:52:50 by jwe]
jwe
parents: 5440
diff changeset
638 error ("symamd: not available in this version of Octave");
ed08548b9054 [project @ 2005-09-15 19:52:50 by jwe]
jwe
parents: 5440
diff changeset
639
ed08548b9054 [project @ 2005-09-15 19:52:50 by jwe]
jwe
parents: 5440
diff changeset
640 #endif
ed08548b9054 [project @ 2005-09-15 19:52:50 by jwe]
jwe
parents: 5440
diff changeset
641
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
642 return retval;
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
643 }
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 DEFUN_DLD (etree, args, nargout,
17787
175b392e91fe Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents: 17744
diff changeset
646 "-*- texinfo -*-\n\
11553
01f703952eff Improve docstrings for functions in DLD-FUNCTIONS directory.
Rik <octave@nomad.inbox5.com>
parents: 11523
diff changeset
647 @deftypefn {Loadable Function} {@var{p} =} etree (@var{S})\n\
01f703952eff Improve docstrings for functions in DLD-FUNCTIONS directory.
Rik <octave@nomad.inbox5.com>
parents: 11523
diff changeset
648 @deftypefnx {Loadable Function} {@var{p} =} etree (@var{S}, @var{typ})\n\
01f703952eff Improve docstrings for functions in DLD-FUNCTIONS directory.
Rik <octave@nomad.inbox5.com>
parents: 11523
diff changeset
649 @deftypefnx {Loadable Function} {[@var{p}, @var{q}] =} etree (@var{S}, @var{typ})\n\
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
650 \n\
14038
b0cdd60db5e5 doc: Grammarcheck documentation ahead of 3.6.0 release.
Rik <octave@nomad.inbox5.com>
parents: 13219
diff changeset
651 Return the elimination tree for the matrix @var{S}. By default @var{S}\n\
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
652 is assumed to be symmetric and the symmetric elimination tree is\n\
9064
7c02ec148a3c Check grammar on all .cc files
Rik <rdrider0-list@yahoo.com>
parents: 8920
diff changeset
653 returned. The argument @var{typ} controls whether a symmetric or\n\
7c02ec148a3c Check grammar on all .cc files
Rik <rdrider0-list@yahoo.com>
parents: 8920
diff changeset
654 column elimination tree is returned. Valid values of @var{typ} are\n\
17281
bc924baa2c4e doc: Add new @qcode macro for code samples which are quoted.
Rik <rik@octave.org>
parents: 16313
diff changeset
655 @qcode{\"sym\"} or @qcode{\"col\"}, for symmetric or column elimination tree\n\
bc924baa2c4e doc: Add new @qcode macro for code samples which are quoted.
Rik <rik@octave.org>
parents: 16313
diff changeset
656 respectively.\n\
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
657 \n\
11553
01f703952eff Improve docstrings for functions in DLD-FUNCTIONS directory.
Rik <octave@nomad.inbox5.com>
parents: 11523
diff changeset
658 Called with a second argument, @code{etree} also returns the postorder\n\
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
659 permutations on the tree.\n\
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
660 @end deftypefn")
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
661 {
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
662 octave_value_list retval;
5297
234abf4c74dd [project @ 2005-04-21 21:29:46 by jwe]
jwe
parents: 5164
diff changeset
663
5164
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
10282
c9780d8e228c fix invalid checks in amd functions
Jaroslav Hajek <highegg@gmail.com>
parents: 10155
diff changeset
666 if (nargout > 2 || nargin < 1 || nargin > 2)
5823
080c08b192d8 [project @ 2006-05-19 05:32:17 by jwe]
jwe
parents: 5760
diff changeset
667 print_usage ();
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
668 else
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
669 {
13219
cf5ebc0e47e4 fix warnings for unused but set variables and shadowed variables
John W. Eaton <jwe@octave.org>
parents: 12642
diff changeset
670 octave_idx_type n_row, n_col;
5440
b73d469ef0c9 [project @ 2005-09-04 12:31:45 by dbateman]
dbateman
parents: 5307
diff changeset
671 octave_idx_type *ridx, *cidx;
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
672 bool is_sym = true;
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
673 SparseMatrix sm;
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
674 SparseComplexMatrix scm;
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
675
5631
7171d19706df [project @ 2006-02-22 20:15:06 by dbateman]
dbateman
parents: 5604
diff changeset
676 if (args(0).is_sparse_type ())
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
677 {
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
678 if (args(0).is_complex_type ())
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
679 {
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
680 scm = args(0).sparse_complex_matrix_value ();
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
681 n_row = scm.rows ();
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
682 n_col = scm.cols ();
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
683 ridx = scm.xridx ();
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
684 cidx = scm.xcidx ();
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
685 }
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
686 else
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
687 {
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
688 sm = args(0).sparse_matrix_value ();
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
689 n_row = sm.rows ();
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
690 n_col = sm.cols ();
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
691 ridx = sm.xridx ();
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
692 cidx = sm.xcidx ();
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
693 }
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
694
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
695 }
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
696 else
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
697 {
11553
01f703952eff Improve docstrings for functions in DLD-FUNCTIONS directory.
Rik <octave@nomad.inbox5.com>
parents: 11523
diff changeset
698 error ("etree: S must be a sparse matrix");
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
699 return retval;
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
700 }
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
701
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
702 if (nargin == 2)
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
703 {
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
704 if (args(1).is_string ())
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
705 {
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
706 std::string str = args(1).string_value ();
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
707 if (str.find ("C") == 0 || str.find ("c") == 0)
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
708 is_sym = false;
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
709 }
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
710 else
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
711 {
11553
01f703952eff Improve docstrings for functions in DLD-FUNCTIONS directory.
Rik <octave@nomad.inbox5.com>
parents: 11523
diff changeset
712 error ("etree: TYP must be a string");
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
713 return retval;
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
714 }
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
715 }
7924
4976f66d469b miscellaneous cleanup
John W. Eaton <jwe@octave.org>
parents: 7520
diff changeset
716
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
717 // column elimination tree post-ordering (reuse variables)
5440
b73d469ef0c9 [project @ 2005-09-04 12:31:45 by dbateman]
dbateman
parents: 5307
diff changeset
718 OCTAVE_LOCAL_BUFFER (octave_idx_type, etree, n_col + 1);
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
719
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
720 if (is_sym)
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
721 {
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
722 if (n_row != n_col)
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
723 {
11553
01f703952eff Improve docstrings for functions in DLD-FUNCTIONS directory.
Rik <octave@nomad.inbox5.com>
parents: 11523
diff changeset
724 error ("etree: S is marked as symmetric, but is not square");
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
725 return retval;
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
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
728 symetree (ridx, cidx, etree, 0, n_col);
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
729 }
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
730 else
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
731 {
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
732 OCTAVE_LOCAL_BUFFER (octave_idx_type, colbeg, n_col);
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
733 OCTAVE_LOCAL_BUFFER (octave_idx_type, colend, n_col);
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
734
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
735 for (octave_idx_type i = 0; i < n_col; i++)
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
736 {
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
737 colbeg[i] = cidx[i];
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
738 colend[i] = cidx[i+1];
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
739 }
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
740
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
741 coletree (ridx, colbeg, colend, etree, n_row, n_col);
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
742 }
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
743
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
744 NDArray tree (dim_vector (1, n_col));
5440
b73d469ef0c9 [project @ 2005-09-04 12:31:45 by dbateman]
dbateman
parents: 5307
diff changeset
745 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
746 // We flag a root with n_col while Matlab does it with zero
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
747 // Convert for matlab compatiable output
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
748 if (etree[i] == n_col)
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
749 tree(i) = 0;
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
750 else
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
751 tree(i) = etree[i] + 1;
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
752
7924
4976f66d469b miscellaneous cleanup
John W. Eaton <jwe@octave.org>
parents: 7520
diff changeset
753 retval(0) = tree;
5164
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 if (nargout == 2)
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
756 {
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
757 // Calculate the tree post-ordering
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
758 OCTAVE_LOCAL_BUFFER (octave_idx_type, post, n_col + 1);
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
759 tree_postorder (n_col, etree, post);
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
760
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
761 NDArray postorder (dim_vector (1, n_col));
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
762 for (octave_idx_type i = 0; i < n_col; i++)
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
763 postorder(i) = post[i] + 1;
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
764
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
765 retval(1) = postorder;
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
766 }
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
767 }
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
768
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
769 return retval;
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
770 }