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annotate libinterp/dldfcn/colamd.cc @ 21332:db574711df78

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eliminate deprecated register storage class specifier * colamd.cc, randmtzig.c: Don't declare variables with register storage class specifier. * libinterp/parse-tree/module.mk (libinterp/parse-tree/oct-gperf.h): Filter out register storage class specifier from generated code. * oct-tex-lexer.in.ll, lex.ll: Define away register storage class specifier.
author John W. Eaton <jwe@octave.org>
date Wed, 24 Feb 2016 09:52:27 -0500
parents 40de9f8f23a6
children ad0599a0acc6
Ignore whitespace changes - Everywhere: Within whitespace: At end of lines:
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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 "errwarn.h"
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39 #include "pager.h"
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40 #include "ov-re-mat.h"
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41
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42 #include "ov-re-sparse.h"
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43 #include "ov-cx-sparse.h"
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44
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45 #include "oct-sparse.h"
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46 #include "oct-locbuf.h"
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47
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48 #if defined (OCTAVE_ENABLE_64)
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49 # define COLAMD_NAME(name) colamd_l ## name
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50 # define SYMAMD_NAME(name) symamd_l ## name
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51 #else
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52 # define COLAMD_NAME(name) colamd ## name
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53 # define SYMAMD_NAME(name) symamd ## name
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54 #endif
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55
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56 // The symmetric column elimination tree code take from the Davis LDL code.
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57 // Copyright given elsewhere in this file.
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58 static void
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59 symetree (const octave_idx_type *ridx, const octave_idx_type *cidx,
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60 octave_idx_type *Parent, octave_idx_type *P, octave_idx_type n)
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61 {
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62 OCTAVE_LOCAL_BUFFER (octave_idx_type, Flag, n);
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63 OCTAVE_LOCAL_BUFFER (octave_idx_type, Pinv, (P ? n : 0));
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64 if (P)
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65 // If P is present then compute Pinv, the inverse of P
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66 for (octave_idx_type k = 0 ; k < n ; k++)
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67 Pinv[P[k]] = k ;
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68
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69 for (octave_idx_type k = 0 ; k < n ; k++)
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70 {
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71 // L(k,:) pattern: all nodes reachable in etree from nz in A(0:k-1,k)
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72 Parent[k] = n ; // parent of k is not yet known
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73 Flag[k] = k ; // mark node k as visited
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74 octave_idx_type kk = (P) ? P[k] // kth original, or permuted, column
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75 : (k) ;
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76 octave_idx_type p2 = cidx[kk+1] ;
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77 for (octave_idx_type p = cidx[kk] ; p < p2 ; p++)
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78 {
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79 // A (i,k) is nonzero (original or permuted A)
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80 octave_idx_type i = (Pinv) ? (Pinv[ridx[p]]) : (ridx[p]) ;
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81 if (i < k)
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82 {
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83 // follow path from i to root of etree, stop at flagged node
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84 for ( ; Flag[i] != k ; i = Parent[i])
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85 {
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86 // find parent of i if not yet determined
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87 if (Parent[i] == n)
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88 Parent[i] = k ;
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89 Flag[i] = k ; // mark i as visited
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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
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96 // The elimination tree post-ordering code below is taken from SuperLU
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97 static inline octave_idx_type
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98 make_set (octave_idx_type i, octave_idx_type *pp)
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99 {
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100 pp[i] = i;
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101 return i;
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102 }
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103
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104 static inline octave_idx_type
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105 link (octave_idx_type s, octave_idx_type t, octave_idx_type *pp)
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106 {
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107 pp[s] = t;
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108 return t;
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109 }
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110
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111 static inline octave_idx_type
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112 find (octave_idx_type i, octave_idx_type *pp)
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113 {
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114 octave_idx_type p = pp[i];
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115 octave_idx_type gp = pp[p];
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116
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117 while (gp != p)
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118 {
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119 pp[i] = gp;
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120 i = gp;
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121 p = pp[i];
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122 gp = pp[p];
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123 }
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124
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125 return p;
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126 }
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127
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128 static octave_idx_type
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129 etdfs (octave_idx_type v, octave_idx_type *first_kid,
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130 octave_idx_type *next_kid, octave_idx_type *post,
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131 octave_idx_type postnum)
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132 {
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133 for (octave_idx_type w = first_kid[v]; w != -1; w = next_kid[w])
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134 postnum = etdfs (w, first_kid, next_kid, post, postnum);
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135
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136 post[postnum++] = v;
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137
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138 return postnum;
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139 }
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140
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141 static void
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142 tree_postorder (octave_idx_type n, octave_idx_type *parent,
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143 octave_idx_type *post)
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144 {
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145 // Allocate storage for working arrays and results
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146 OCTAVE_LOCAL_BUFFER (octave_idx_type, first_kid, n+1);
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147 OCTAVE_LOCAL_BUFFER (octave_idx_type, next_kid, n+1);
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148
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149 // Set up structure describing children
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150 for (octave_idx_type v = 0; v <= n; first_kid[v++] = -1)
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151 ; // do nothing
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152
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153 for (octave_idx_type v = n-1; v >= 0; v--)
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154 {
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155 octave_idx_type dad = parent[v];
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156 next_kid[v] = first_kid[dad];
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157 first_kid[dad] = v;
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158 }
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159
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160 // Depth-first search from dummy root vertex #n
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161 etdfs (n, first_kid, next_kid, post, 0);
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162 }
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163
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164 static void
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165 coletree (const octave_idx_type *ridx, const octave_idx_type *colbeg,
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166 octave_idx_type *colend, octave_idx_type *parent,
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167 octave_idx_type nr, octave_idx_type nc)
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168 {
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169 OCTAVE_LOCAL_BUFFER (octave_idx_type, root, nc);
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170 OCTAVE_LOCAL_BUFFER (octave_idx_type, pp, nc);
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171 OCTAVE_LOCAL_BUFFER (octave_idx_type, firstcol, nr);
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172
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173 // Compute firstcol[row] = first nonzero column in row
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174 for (octave_idx_type row = 0; row < nr; firstcol[row++] = nc)
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175 ; // do nothing
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176
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177 for (octave_idx_type col = 0; col < nc; col++)
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178 for (octave_idx_type p = colbeg[col]; p < colend[col]; p++)
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179 {
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180 octave_idx_type row = ridx[p];
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181 if (firstcol[row] > col)
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182 firstcol[row] = col;
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183 }
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184
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185 // Compute etree by Liu's algorithm for symmetric matrices,
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186 // except use (firstcol[r],c) in place of an edge (r,c) of A.
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187 // Thus each row clique in A'*A is replaced by a star
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188 // centered at its first vertex, which has the same fill.
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189 for (octave_idx_type col = 0; col < nc; col++)
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190 {
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191 octave_idx_type cset = make_set (col, pp);
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192 root[cset] = col;
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193 parent[col] = nc;
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194 for (octave_idx_type p = colbeg[col]; p < colend[col]; p++)
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195 {
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196 octave_idx_type row = firstcol[ridx[p]];
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197 if (row >= col)
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198 continue;
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199 octave_idx_type rset = find (row, pp);
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200 octave_idx_type rroot = root[rset];
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201 if (rroot != col)
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202 {
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203 parent[rroot] = col;
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204 cset = link (cset, rset, pp);
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205 root[cset] = col;
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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
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211 DEFUN_DLD (colamd, args, nargout,
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212 "-*- texinfo -*-\n\
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213 @deftypefn {} {@var{p} =} colamd (@var{S})\n\
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214 @deftypefnx {} {@var{p} =} colamd (@var{S}, @var{knobs})\n\
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215 @deftypefnx {} {[@var{p}, @var{stats}] =} colamd (@var{S})\n\
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216 @deftypefnx {} {[@var{p}, @var{stats}] =} colamd (@var{S}, @var{knobs})\n\
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217 \n\
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218 Compute the column approximate minimum degree permutation.\n\
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219 \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 @sc{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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276 @url{http://www.cise.ufl.edu/research/sparse/colamd})\n\
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277 @seealso{colperm, symamd, ccolamd}\n\
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278 @end deftypefn")
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279 {
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280 #ifdef HAVE_COLAMD
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281 int nargin = args.length ();
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282
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283 if (nargin < 1 || nargin > 2)
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284 print_usage ();
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285
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286 octave_value_list retval (nargout == 2 ? 2 : 1);
8da80da1ac37 maint: Use ovl() more places in the code.
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diff changeset
287 int spumoni = 0;
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288
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289 // Get knobs
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290 OCTAVE_LOCAL_BUFFER (double, knobs, COLAMD_KNOBS);
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291 COLAMD_NAME (_set_defaults) (knobs);
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292
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293 // Check for user-passed knobs
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294 if (nargin == 2)
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295 {
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296 NDArray User_knobs = args(1).array_value ();
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297 int nel_User_knobs = User_knobs.numel ();
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298
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299 if (nel_User_knobs > 0)
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300 knobs[COLAMD_DENSE_ROW] = User_knobs(0);
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301 if (nel_User_knobs > 1)
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302 knobs[COLAMD_DENSE_COL] = User_knobs(1) ;
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303 if (nel_User_knobs > 2)
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304 spumoni = static_cast<int> (User_knobs(2));
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305
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306 // print knob settings if spumoni is set
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307 if (spumoni)
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308 {
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309
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310 octave_stdout << "\ncolamd version " << COLAMD_MAIN_VERSION
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311 << "." << COLAMD_SUB_VERSION
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312 << ", " << COLAMD_DATE << ":\n";
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313
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314 if (knobs[COLAMD_DENSE_ROW] >= 0)
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315 octave_stdout << "knobs(1): " << User_knobs (0)
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316 << ", rows with > max (16,"
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317 << knobs[COLAMD_DENSE_ROW] << "*sqrt (size(A,2)))"
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318 << " entries removed\n";
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319 else
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320 octave_stdout << "knobs(1): " << User_knobs (0)
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321 << ", only completely dense rows removed\n";
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322
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323 if (knobs[COLAMD_DENSE_COL] >= 0)
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diff changeset
324 octave_stdout << "knobs(2): " << User_knobs (1)
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325 << ", cols with > max (16,"
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326 << knobs[COLAMD_DENSE_COL] << "*sqrt (size(A)))"
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327 << " entries removed\n";
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328 else
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329 octave_stdout << "knobs(2): " << User_knobs (1)
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330 << ", only completely dense columns removed\n";
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331
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332 octave_stdout << "knobs(3): " << User_knobs (2)
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333 << ", statistics and knobs printed\n";
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334
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335 }
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336 }
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337
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338 octave_idx_type n_row, n_col, nnz;
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339 octave_idx_type *ridx, *cidx;
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340 SparseComplexMatrix scm;
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341 SparseMatrix sm;
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342
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343 if (args(0).is_sparse_type ())
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344 {
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345 if (args(0).is_complex_type ())
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diff changeset
346 {
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347 scm = args(0). sparse_complex_matrix_value ();
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348 n_row = scm.rows ();
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349 n_col = scm.cols ();
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350 nnz = scm.nnz ();
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351 ridx = scm.xridx ();
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352 cidx = scm.xcidx ();
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353 }
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354 else
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355 {
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diff changeset
356 sm = args(0).sparse_matrix_value ();
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357
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358 n_row = sm.rows ();
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
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diff changeset
359 n_col = sm.cols ();
10527
b4d2080b6df7 Replace nzmax by nnz as needed
David Bateman <dbateman@free.fr>
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diff changeset
360 nnz = sm.nnz ();
10154
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diff changeset
361 ridx = sm.xridx ();
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diff changeset
362 cidx = sm.xcidx ();
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363 }
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364 }
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365 else
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366 {
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diff changeset
367 if (args(0).is_complex_type ())
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diff changeset
368 sm = SparseMatrix (real (args(0).complex_matrix_value ()));
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369 else
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diff changeset
370 sm = SparseMatrix (args(0).matrix_value ());
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371
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372 n_row = sm.rows ();
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373 n_col = sm.cols ();
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374 nnz = sm.nnz ();
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375 ridx = sm.xridx ();
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376 cidx = sm.xcidx ();
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377 }
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378
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379 // Allocate workspace for colamd
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380 OCTAVE_LOCAL_BUFFER (octave_idx_type, p, n_col+1);
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381 for (octave_idx_type i = 0; i < n_col+1; i++)
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382 p[i] = cidx[i];
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383
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384 octave_idx_type Alen = COLAMD_NAME (_recommended) (nnz, n_row, n_col);
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385 OCTAVE_LOCAL_BUFFER (octave_idx_type, A, Alen);
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diff changeset
386 for (octave_idx_type i = 0; i < nnz; i++)
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diff changeset
387 A[i] = ridx[i];
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diff changeset
388
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389 // Order the columns (destroys A)
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diff changeset
390 OCTAVE_LOCAL_BUFFER (octave_idx_type, stats, COLAMD_STATS);
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diff changeset
391 if (! COLAMD_NAME () (n_row, n_col, Alen, A, p, knobs, stats))
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diff changeset
392 {
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diff changeset
393 COLAMD_NAME (_report) (stats) ;
20825
66cd994d1b79 eliminate return statements after calls to error
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394
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diff changeset
395 error ("colamd: internal error!");
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396 }
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397
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398 // column elimination tree post-ordering (reuse variables)
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diff changeset
399 OCTAVE_LOCAL_BUFFER (octave_idx_type, colbeg, n_col + 1);
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diff changeset
400 OCTAVE_LOCAL_BUFFER (octave_idx_type, colend, n_col + 1);
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diff changeset
401 OCTAVE_LOCAL_BUFFER (octave_idx_type, etree, n_col + 1);
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diff changeset
402
20790
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diff changeset
403 for (octave_idx_type i = 0; i < n_col; i++)
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diff changeset
404 {
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parents: 20700
diff changeset
405 colbeg[i] = cidx[p[i]];
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diff changeset
406 colend[i] = cidx[p[i]+1];
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diff changeset
407 }
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diff changeset
408
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diff changeset
409 coletree (ridx, colbeg, colend, etree, n_row, n_col);
c2d9556d51d0 eliminate return statements after calls to print_usage
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parents: 20700
diff changeset
410
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parents: 20700
diff changeset
411 // Calculate the tree post-ordering
c2d9556d51d0 eliminate return statements after calls to print_usage
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parents: 20700
diff changeset
412 tree_postorder (n_col, etree, colbeg);
5164
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parents:
diff changeset
413
20790
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diff changeset
414 // return the permutation vector
c2d9556d51d0 eliminate return statements after calls to print_usage
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parents: 20700
diff changeset
415 NDArray out_perm (dim_vector (1, n_col));
c2d9556d51d0 eliminate return statements after calls to print_usage
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parents: 20700
diff changeset
416 for (octave_idx_type i = 0; i < n_col; i++)
c2d9556d51d0 eliminate return statements after calls to print_usage
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parents: 20700
diff changeset
417 out_perm(i) = p[colbeg[i]] + 1;
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parents: 20700
diff changeset
418
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diff changeset
419 retval(0) = out_perm;
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diff changeset
420
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diff changeset
421 // print stats if spumoni > 0
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diff changeset
422 if (spumoni > 0)
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diff changeset
423 COLAMD_NAME (_report) (stats) ;
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diff changeset
424
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425 // Return the stats vector
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diff changeset
426 if (nargout == 2)
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diff changeset
427 {
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diff changeset
428 NDArray out_stats (dim_vector (1, COLAMD_STATS));
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429 for (octave_idx_type i = 0 ; i < COLAMD_STATS ; i++)
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430 out_stats(i) = stats[i] ;
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diff changeset
431 retval(1) = out_stats;
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432
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433 // fix stats (5) and (6), for 1-based information on
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diff changeset
434 // jumbled matrix. note that this correction doesn't
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diff changeset
435 // occur if symamd returns FALSE
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diff changeset
436 out_stats (COLAMD_INFO1) ++ ;
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diff changeset
437 out_stats (COLAMD_INFO2) ++ ;
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438 }
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439
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8da80da1ac37 maint: Use ovl() more places in the code.
Rik <rik@octave.org>
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440 return retval;
8da80da1ac37 maint: Use ovl() more places in the code.
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diff changeset
441
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parents: 5440
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442 #else
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bd1752782e56 Use err_disabled_feature, warn_disabled_feature throughout code base.
Rik <rik@octave.org>
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443 err_disabled_feature ("colamd", "COLAMD");
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diff changeset
444 #endif
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445 }
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diff changeset
446
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diff changeset
447 DEFUN_DLD (symamd, args, nargout,
17787
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Rik <rik@octave.org>
parents: 17744
diff changeset
448 "-*- texinfo -*-\n\
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1142cf6abc0d 2015 Code Sprint: remove class of function from docstring for all C++ files.
Rik <rik@octave.org>
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diff changeset
449 @deftypefn {} {@var{p} =} symamd (@var{S})\n\
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Rik <rik@octave.org>
parents: 20825
diff changeset
450 @deftypefnx {} {@var{p} =} symamd (@var{S}, @var{knobs})\n\
1142cf6abc0d 2015 Code Sprint: remove class of function from docstring for all C++ files.
Rik <rik@octave.org>
parents: 20825
diff changeset
451 @deftypefnx {} {[@var{p}, @var{stats}] =} symamd (@var{S})\n\
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Rik <rik@octave.org>
parents: 20825
diff changeset
452 @deftypefnx {} {[@var{p}, @var{stats}] =} symamd (@var{S}, @var{knobs})\n\
5164
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453 \n\
11553
01f703952eff Improve docstrings for functions in DLD-FUNCTIONS directory.
Rik <octave@nomad.inbox5.com>
parents: 11523
diff changeset
454 For a symmetric positive definite matrix @var{S}, returns the permutation\n\
01f703952eff Improve docstrings for functions in DLD-FUNCTIONS directory.
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parents: 11523
diff changeset
455 vector p such that @code{@var{S}(@var{p}, @var{p})} tends to have a\n\
20163
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Rik <rik@octave.org>
parents: 19697
diff changeset
456 sparser Cholesky@tie{}factor than @var{S}.\n\
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Rik <rik@octave.org>
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diff changeset
457 \n\
20181
aa36fb998a4d maint: Remove unnecessary whitespace at end of lines.
Rik <rik@octave.org>
parents: 20163
diff changeset
458 Sometimes @code{symamd} works well for symmetric indefinite matrices too. \n\
20163
075a5e2e1ba5 doc: Update more docstrings to have one sentence summary as first line.
Rik <rik@octave.org>
parents: 19697
diff changeset
459 The matrix @var{S} is assumed to be symmetric; only the strictly lower\n\
075a5e2e1ba5 doc: Update more docstrings to have one sentence summary as first line.
Rik <rik@octave.org>
parents: 19697
diff changeset
460 triangular part is referenced. @var{S} must be square.\n\
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diff changeset
461 \n\
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parents: 11523
diff changeset
462 @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
463 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
464 @code{max (16,@var{knobs}(1)*sqrt(n))} entries are removed prior to ordering,\n\
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parents: 8920
diff changeset
465 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
466 removed if @code{@var{knobs}(1) < 0}. If @code{@var{knobs} (2)} is nonzero,\n\
20163
075a5e2e1ba5 doc: Update more docstrings to have one sentence summary as first line.
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parents: 19697
diff changeset
467 @code{stats} and @var{knobs} are printed. The default is\n\
075a5e2e1ba5 doc: Update more docstrings to have one sentence summary as first line.
Rik <rik@octave.org>
parents: 19697
diff changeset
468 @code{@var{knobs} = [10 0]}. Note that @var{knobs} differs from earlier\n\
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Rik <rik@octave.org>
parents: 19697
diff changeset
469 versions of @code{symamd}.\n\
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diff changeset
470 \n\
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diff changeset
471 @var{stats} is an optional 20-element output vector that provides data\n\
11553
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Rik <octave@nomad.inbox5.com>
parents: 11523
diff changeset
472 about the ordering and the validity of the input matrix @var{S}. Ordering\n\
20163
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Rik <rik@octave.org>
parents: 19697
diff changeset
473 statistics are in @code{@var{stats}(1:3)}.\n\
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Rik <rik@octave.org>
parents: 19697
diff changeset
474 @code{@var{stats}(1) = @var{stats}(2)} is the number of dense or empty rows\n\
075a5e2e1ba5 doc: Update more docstrings to have one sentence summary as first line.
Rik <rik@octave.org>
parents: 19697
diff changeset
475 and columns ignored by SYMAMD and @code{@var{stats}(3)} is the number of\n\
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Rik <rik@octave.org>
parents: 19697
diff changeset
476 garbage 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
477 (roughly of size @code{8.4 * nnz (tril (@var{S}, -1)) + 9 * @var{n}}\n\
5164
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diff changeset
478 integers).\n\
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
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diff changeset
479 \n\
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
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diff changeset
480 Octave built-in functions are intended to generate valid sparse matrices,\n\
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
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diff changeset
481 with no duplicate entries, with ascending row indices of the nonzeros\n\
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
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diff changeset
482 in each column, with a non-negative number of entries in each column (!)\n\
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
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parents:
diff changeset
483 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
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diff changeset
484 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
485 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
486 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
487 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
488 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
489 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
490 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
491 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]
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parents:
diff changeset
492 \n\
11553
01f703952eff Improve docstrings for functions in DLD-FUNCTIONS directory.
Rik <octave@nomad.inbox5.com>
parents: 11523
diff changeset
493 @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
494 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
495 if invalid. @code{@var{stats}(5)} is the rightmost column index that\n\
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
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parents:
diff changeset
496 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
497 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
498 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
499 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
500 duplicate or out-of-order row indices. @code{@var{stats}(8:20)} is\n\
5164
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parents:
diff changeset
501 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
502 \n\
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
503 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
504 \n\
19040
0850b5212619 doc: Add @nospell macro around proper names in documentation.
Rik <rik@octave.org>
parents: 17787
diff changeset
505 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
506 @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
507 Xerox PARC, and @nospell{Esmond Ng}, Oak Ridge National Laboratory. (see\n\
5164
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parents:
diff changeset
508 @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
509 @seealso{colperm, colamd}\n\
2618a0750ae6 [project @ 2006-03-06 21:26:48 by jwe]
jwe
parents: 5631
diff changeset
510 @end deftypefn")
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
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parents:
diff changeset
511 {
5451
ed08548b9054 [project @ 2005-09-15 19:52:50 by jwe]
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parents: 5440
diff changeset
512 #ifdef HAVE_COLAMD
ed08548b9054 [project @ 2005-09-15 19:52:50 by jwe]
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parents: 5440
diff changeset
513
5164
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parents:
diff changeset
514 int nargin = args.length ();
11586
12df7854fa7c strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents: 11553
diff changeset
515
20909
03e4ddd49396 omit unnecessary nargout checks
John W. Eaton <jwe@octave.org>
parents: 20898
diff changeset
516 if (nargin < 1 || nargin > 2)
5823
080c08b192d8 [project @ 2006-05-19 05:32:17 by jwe]
jwe
parents: 5760
diff changeset
517 print_usage ();
20790
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John W. Eaton <jwe@octave.org>
parents: 20700
diff changeset
518
20898
8da80da1ac37 maint: Use ovl() more places in the code.
Rik <rik@octave.org>
parents: 20862
diff changeset
519 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
520 int spumoni = 0;
20862
ac1f8c640d8f 2015 Code Sprint: colamd.cc: use ovl().
Rik <rik@octave.org>
parents: 20853
diff changeset
521
20790
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parents: 20700
diff changeset
522 // Get knobs
c2d9556d51d0 eliminate return statements after calls to print_usage
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parents: 20700
diff changeset
523 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
524 COLAMD_NAME (_set_defaults) (knobs);
5164
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parents:
diff changeset
525
20790
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parents: 20700
diff changeset
526 // Check for user-passed knobs
c2d9556d51d0 eliminate return statements after calls to print_usage
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parents: 20700
diff changeset
527 if (nargin == 2)
c2d9556d51d0 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20700
diff changeset
528 {
c2d9556d51d0 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20700
diff changeset
529 NDArray User_knobs = args(1).array_value ();
c2d9556d51d0 eliminate return statements after calls to print_usage
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parents: 20700
diff changeset
530 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
531
20790
c2d9556d51d0 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20700
diff changeset
532 if (nel_User_knobs > 0)
c2d9556d51d0 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20700
diff changeset
533 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
534 if (nel_User_knobs > 1)
c2d9556d51d0 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20700
diff changeset
535 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
536 }
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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 // 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
539 if (spumoni > 0)
c2d9556d51d0 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20700
diff changeset
540 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
541 << knobs[COLAMD_DENSE_ROW] << std::endl;
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
542
20790
c2d9556d51d0 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20700
diff changeset
543 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
544 octave_idx_type *ridx, *cidx;
c2d9556d51d0 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20700
diff changeset
545 SparseMatrix sm;
c2d9556d51d0 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20700
diff changeset
546 SparseComplexMatrix scm;
c2d9556d51d0 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20700
diff changeset
547
c2d9556d51d0 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20700
diff changeset
548 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
549 {
c2d9556d51d0 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20700
diff changeset
550 if (args(0).is_complex_type ())
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
551 {
20790
c2d9556d51d0 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20700
diff changeset
552 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
553 n_row = scm.rows ();
c2d9556d51d0 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20700
diff changeset
554 n_col = scm.cols ();
c2d9556d51d0 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20700
diff changeset
555 ridx = scm.xridx ();
c2d9556d51d0 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20700
diff changeset
556 cidx = scm.xcidx ();
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
557 }
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
558 else
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
559 {
20790
c2d9556d51d0 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20700
diff changeset
560 sm = args(0).sparse_matrix_value ();
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
561 n_row = sm.rows ();
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
562 n_col = sm.cols ();
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
563 ridx = sm.xridx ();
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
564 cidx = sm.xcidx ();
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 }
c2d9556d51d0 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20700
diff changeset
567 else
c2d9556d51d0 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20700
diff changeset
568 {
c2d9556d51d0 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20700
diff changeset
569 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
570 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
571 else
c2d9556d51d0 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20700
diff changeset
572 sm = SparseMatrix (args(0).matrix_value ());
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
573
20790
c2d9556d51d0 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20700
diff changeset
574 n_row = sm.rows ();
c2d9556d51d0 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20700
diff changeset
575 n_col = sm.cols ();
c2d9556d51d0 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20700
diff changeset
576 ridx = sm.xridx ();
c2d9556d51d0 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20700
diff changeset
577 cidx = sm.xcidx ();
c2d9556d51d0 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20700
diff changeset
578 }
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 if (n_row != n_col)
21110
3d0d84305600 Use err_square_matrix_required more widely.
Rik <rik@octave.org>
parents: 21109
diff changeset
581 err_square_matrix_required ("symamd", "S");
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
582
20790
c2d9556d51d0 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20700
diff changeset
583 // Allocate workspace for symamd
c2d9556d51d0 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20700
diff changeset
584 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
585 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
586 if (! SYMAMD_NAME () (n_col, ridx, cidx, perm,
20790
c2d9556d51d0 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20700
diff changeset
587 knobs, stats, &calloc, &free))
c2d9556d51d0 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20700
diff changeset
588 {
c2d9556d51d0 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20700
diff changeset
589 SYMAMD_NAME (_report) (stats) ;
20825
66cd994d1b79 eliminate return statements after calls to error
John W. Eaton <jwe@octave.org>
parents: 20790
diff changeset
590
20790
c2d9556d51d0 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20700
diff changeset
591 error ("symamd: internal error!") ;
c2d9556d51d0 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20700
diff changeset
592 }
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
593
20790
c2d9556d51d0 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20700
diff changeset
594 // column elimination tree post-ordering
c2d9556d51d0 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20700
diff changeset
595 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
596 symetree (ridx, cidx, etree, perm, n_col);
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
597
20790
c2d9556d51d0 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20700
diff changeset
598 // Calculate the tree post-ordering
c2d9556d51d0 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20700
diff changeset
599 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
600 tree_postorder (n_col, etree, post);
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
601
20790
c2d9556d51d0 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20700
diff changeset
602 // return the permutation vector
c2d9556d51d0 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20700
diff changeset
603 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
604 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
605 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
606
c2d9556d51d0 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20700
diff changeset
607 retval(0) = out_perm;
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
608
20790
c2d9556d51d0 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20700
diff changeset
609 // print stats if spumoni > 0
c2d9556d51d0 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20700
diff changeset
610 if (spumoni > 0)
c2d9556d51d0 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20700
diff changeset
611 SYMAMD_NAME (_report) (stats) ;
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
612
20790
c2d9556d51d0 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20700
diff changeset
613 // Return the stats vector
c2d9556d51d0 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20700
diff changeset
614 if (nargout == 2)
c2d9556d51d0 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20700
diff changeset
615 {
c2d9556d51d0 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20700
diff changeset
616 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
617 for (octave_idx_type i = 0 ; i < COLAMD_STATS ; i++)
c2d9556d51d0 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20700
diff changeset
618 out_stats(i) = stats[i] ;
c2d9556d51d0 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20700
diff changeset
619 retval(1) = out_stats;
c2d9556d51d0 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20700
diff changeset
620
c2d9556d51d0 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20700
diff changeset
621 // 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
622 // 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
623 // occur if symamd returns FALSE
c2d9556d51d0 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20700
diff changeset
624 out_stats (COLAMD_INFO1) ++ ;
c2d9556d51d0 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20700
diff changeset
625 out_stats (COLAMD_INFO2) ++ ;
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
626 }
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
627
20898
8da80da1ac37 maint: Use ovl() more places in the code.
Rik <rik@octave.org>
parents: 20862
diff changeset
628 return retval;
8da80da1ac37 maint: Use ovl() more places in the code.
Rik <rik@octave.org>
parents: 20862
diff changeset
629
5451
ed08548b9054 [project @ 2005-09-15 19:52:50 by jwe]
jwe
parents: 5440
diff changeset
630 #else
21109
bd1752782e56 Use err_disabled_feature, warn_disabled_feature throughout code base.
Rik <rik@octave.org>
parents: 20955
diff changeset
631 err_disabled_feature ("symamd", "COLAMD");
5451
ed08548b9054 [project @ 2005-09-15 19:52:50 by jwe]
jwe
parents: 5440
diff changeset
632 #endif
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
633 }
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 DEFUN_DLD (etree, args, nargout,
17787
175b392e91fe Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents: 17744
diff changeset
636 "-*- texinfo -*-\n\
20853
1142cf6abc0d 2015 Code Sprint: remove class of function from docstring for all C++ files.
Rik <rik@octave.org>
parents: 20825
diff changeset
637 @deftypefn {} {@var{p} =} etree (@var{S})\n\
1142cf6abc0d 2015 Code Sprint: remove class of function from docstring for all C++ files.
Rik <rik@octave.org>
parents: 20825
diff changeset
638 @deftypefnx {} {@var{p} =} etree (@var{S}, @var{typ})\n\
1142cf6abc0d 2015 Code Sprint: remove class of function from docstring for all C++ files.
Rik <rik@octave.org>
parents: 20825
diff changeset
639 @deftypefnx {} {[@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
640 \n\
20163
075a5e2e1ba5 doc: Update more docstrings to have one sentence summary as first line.
Rik <rik@octave.org>
parents: 19697
diff changeset
641 Return the elimination tree for the matrix @var{S}.\n\
075a5e2e1ba5 doc: Update more docstrings to have one sentence summary as first line.
Rik <rik@octave.org>
parents: 19697
diff changeset
642 \n\
075a5e2e1ba5 doc: Update more docstrings to have one sentence summary as first line.
Rik <rik@octave.org>
parents: 19697
diff changeset
643 By default @var{S} is assumed to be symmetric and the symmetric elimination\n\
075a5e2e1ba5 doc: Update more docstrings to have one sentence summary as first line.
Rik <rik@octave.org>
parents: 19697
diff changeset
644 tree is returned. The argument @var{typ} controls whether a symmetric or\n\
9064
7c02ec148a3c Check grammar on all .cc files
Rik <rdrider0-list@yahoo.com>
parents: 8920
diff changeset
645 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
646 @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
647 respectively.\n\
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
648 \n\
11553
01f703952eff Improve docstrings for functions in DLD-FUNCTIONS directory.
Rik <octave@nomad.inbox5.com>
parents: 11523
diff changeset
649 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
650 permutations on the tree.\n\
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
651 @end deftypefn")
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
652 {
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
653 int nargin = args.length ();
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
654
20909
03e4ddd49396 omit unnecessary nargout checks
John W. Eaton <jwe@octave.org>
parents: 20898
diff changeset
655 if (nargin < 1 || nargin > 2)
5823
080c08b192d8 [project @ 2006-05-19 05:32:17 by jwe]
jwe
parents: 5760
diff changeset
656 print_usage ();
20790
c2d9556d51d0 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20700
diff changeset
657
20898
8da80da1ac37 maint: Use ovl() more places in the code.
Rik <rik@octave.org>
parents: 20862
diff changeset
658 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
659
20898
8da80da1ac37 maint: Use ovl() more places in the code.
Rik <rik@octave.org>
parents: 20862
diff changeset
660 octave_idx_type n_row = 0;
8da80da1ac37 maint: Use ovl() more places in the code.
Rik <rik@octave.org>
parents: 20862
diff changeset
661 octave_idx_type n_col = 0;
8da80da1ac37 maint: Use ovl() more places in the code.
Rik <rik@octave.org>
parents: 20862
diff changeset
662 octave_idx_type *ridx = 0;
8da80da1ac37 maint: Use ovl() more places in the code.
Rik <rik@octave.org>
parents: 20862
diff changeset
663 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
664
c2d9556d51d0 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20700
diff changeset
665 if (args(0).is_sparse_type ())
20939
b17fda023ca6 maint: Use new C++ archetype in more files.
Rik <rik@octave.org>
parents: 20909
diff changeset
666 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
667
20939
b17fda023ca6 maint: Use new C++ archetype in more files.
Rik <rik@octave.org>
parents: 20909
diff changeset
668 if (args(0).is_complex_type ())
b17fda023ca6 maint: Use new C++ archetype in more files.
Rik <rik@octave.org>
parents: 20909
diff changeset
669 {
b17fda023ca6 maint: Use new C++ archetype in more files.
Rik <rik@octave.org>
parents: 20909
diff changeset
670 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
671
20939
b17fda023ca6 maint: Use new C++ archetype in more files.
Rik <rik@octave.org>
parents: 20909
diff changeset
672 n_row = scm.rows ();
b17fda023ca6 maint: Use new C++ archetype in more files.
Rik <rik@octave.org>
parents: 20909
diff changeset
673 n_col = scm.cols ();
b17fda023ca6 maint: Use new C++ archetype in more files.
Rik <rik@octave.org>
parents: 20909
diff changeset
674 ridx = scm.xridx ();
b17fda023ca6 maint: Use new C++ archetype in more files.
Rik <rik@octave.org>
parents: 20909
diff changeset
675 cidx = scm.xcidx ();
20790
c2d9556d51d0 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20700
diff changeset
676 }
c2d9556d51d0 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20700
diff changeset
677 else
20939
b17fda023ca6 maint: Use new C++ archetype in more files.
Rik <rik@octave.org>
parents: 20909
diff changeset
678 {
b17fda023ca6 maint: Use new C++ archetype in more files.
Rik <rik@octave.org>
parents: 20909
diff changeset
679 SparseMatrix sm = args(0).sparse_matrix_value ();
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 n_row = sm.rows ();
b17fda023ca6 maint: Use new C++ archetype in more files.
Rik <rik@octave.org>
parents: 20909
diff changeset
682 n_col = sm.cols ();
b17fda023ca6 maint: Use new C++ archetype in more files.
Rik <rik@octave.org>
parents: 20909
diff changeset
683 ridx = sm.xridx ();
b17fda023ca6 maint: Use new C++ archetype in more files.
Rik <rik@octave.org>
parents: 20909
diff changeset
684 cidx = sm.xcidx ();
b17fda023ca6 maint: Use new C++ archetype in more files.
Rik <rik@octave.org>
parents: 20909
diff changeset
685 }
20825
66cd994d1b79 eliminate return statements after calls to error
John W. Eaton <jwe@octave.org>
parents: 20790
diff changeset
686
66cd994d1b79 eliminate return statements after calls to error
John W. Eaton <jwe@octave.org>
parents: 20790
diff changeset
687 bool is_sym = true;
20790
c2d9556d51d0 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20700
diff changeset
688
c2d9556d51d0 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20700
diff changeset
689 if (nargin == 2)
c2d9556d51d0 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20700
diff changeset
690 {
c2d9556d51d0 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20700
diff changeset
691 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
692 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
693 is_sym = false;
c2d9556d51d0 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20700
diff changeset
694 }
c2d9556d51d0 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20700
diff changeset
695
c2d9556d51d0 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20700
diff changeset
696 // 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
697 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
698
c2d9556d51d0 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20700
diff changeset
699 if (is_sym)
c2d9556d51d0 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20700
diff changeset
700 {
c2d9556d51d0 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20700
diff changeset
701 if (n_row != n_col)
20825
66cd994d1b79 eliminate return statements after calls to error
John W. Eaton <jwe@octave.org>
parents: 20790
diff changeset
702 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
703
20790
c2d9556d51d0 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20700
diff changeset
704 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
705 }
c2d9556d51d0 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20700
diff changeset
706 else
c2d9556d51d0 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20700
diff changeset
707 {
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, colbeg, n_col);
c2d9556d51d0 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20700
diff changeset
709 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
710
c2d9556d51d0 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20700
diff changeset
711 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
712 {
20790
c2d9556d51d0 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20700
diff changeset
713 colbeg[i] = cidx[i];
c2d9556d51d0 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20700
diff changeset
714 colend[i] = cidx[i+1];
10154
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
20790
c2d9556d51d0 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20700
diff changeset
717 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
718 }
7924
4976f66d469b miscellaneous cleanup
John W. Eaton <jwe@octave.org>
parents: 7520
diff changeset
719
20790
c2d9556d51d0 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20700
diff changeset
720 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
721 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
722 // 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
723 // Convert for matlab compatiable output
c2d9556d51d0 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20700
diff changeset
724 if (etree[i] == n_col)
c2d9556d51d0 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20700
diff changeset
725 tree(i) = 0;
c2d9556d51d0 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20700
diff changeset
726 else
c2d9556d51d0 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20700
diff changeset
727 tree(i) = etree[i] + 1;
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
728
20790
c2d9556d51d0 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20700
diff changeset
729 retval(0) = tree;
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
730
20790
c2d9556d51d0 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20700
diff changeset
731 if (nargout == 2)
c2d9556d51d0 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20700
diff changeset
732 {
c2d9556d51d0 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20700
diff changeset
733 // Calculate the tree post-ordering
c2d9556d51d0 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20700
diff changeset
734 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
735 tree_postorder (n_col, etree, post);
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
736
20790
c2d9556d51d0 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20700
diff changeset
737 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
738 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
739 postorder(i) = post[i] + 1;
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
740
20790
c2d9556d51d0 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20700
diff changeset
741 retval(1) = postorder;
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
742 }
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 return retval;
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
745 }