Mercurial > octave
annotate libinterp/corefcn/colamd.cc @ 30564:796f54d4ddbf stable
update Octave Project Developers copyright for the new year
In files that have the "Octave Project Developers" copyright notice,
update for 2021.
In all .txi and .texi files except gpl.txi and gpl.texi in the
doc/liboctave and doc/interpreter directories, change the copyright
to "Octave Project Developers", the same as used for other source
files. Update copyright notices for 2022 (not done since 2019). For
gpl.txi and gpl.texi, change the copyright notice to be "Free Software
Foundation, Inc." and leave the date at 2007 only because this file
only contains the text of the GPL, not anything created by the Octave
Project Developers.
Add Paul Thomas to contributors.in.
author | John W. Eaton <jwe@octave.org> |
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date | Tue, 28 Dec 2021 18:22:40 -0500 |
parents | 628f26e122d9 |
children | e88a07dec498 |
rev | line source |
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1 //////////////////////////////////////////////////////////////////////// |
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2 // |
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3 // Copyright (C) 1998-2022 The Octave Project Developers |
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4 // |
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5 // See the file COPYRIGHT.md in the top-level directory of this |
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6 // distribution or <https://octave.org/copyright/>. |
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7 // |
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8 // This file is part of Octave. |
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9 // |
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10 // Octave is free software: you can redistribute it and/or modify it |
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11 // under the terms of the GNU General Public License as published by |
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12 // the Free Software Foundation, either version 3 of the License, or |
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13 // (at your option) any later version. |
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14 // |
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15 // Octave is distributed in the hope that it will be useful, but |
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16 // WITHOUT ANY WARRANTY; without even the implied warranty of |
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17 // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the |
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18 // GNU General Public License for more details. |
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19 // |
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20 // You should have received a copy of the GNU General Public License |
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21 // along with Octave; see the file COPYING. If not, see |
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22 // <https://www.gnu.org/licenses/>. |
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23 // |
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24 //////////////////////////////////////////////////////////////////////// |
5164 | 25 |
26 // This is the octave interface to colamd, which bore the copyright given | |
27 // in the help of the functions. | |
28 | |
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29 #if defined (HAVE_CONFIG_H) |
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30 # include "config.h" |
5164 | 31 #endif |
32 | |
33 #include <cstdlib> | |
34 | |
35 #include <string> | |
36 | |
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37 #include "CSparse.h" |
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38 #include "dNDArray.h" |
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39 #include "dSparse.h" |
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40 #include "oct-locbuf.h" |
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41 #include "oct-sparse.h" |
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42 |
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43 #include "defun.h" |
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44 #include "error.h" |
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45 #include "errwarn.h" |
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46 #include "ovl.h" |
5164 | 47 #include "pager.h" |
48 | |
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49 OCTAVE_NAMESPACE_BEGIN |
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50 |
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51 // The symmetric column elimination tree code take from the Davis LDL code. |
5164 | 52 // Copyright given elsewhere in this file. |
7924 | 53 static void |
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54 symetree (const octave_idx_type *ridx, const octave_idx_type *cidx, |
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55 octave_idx_type *Parent, octave_idx_type *P, octave_idx_type n) |
5164 | 56 { |
5440 | 57 OCTAVE_LOCAL_BUFFER (octave_idx_type, Flag, n); |
58 OCTAVE_LOCAL_BUFFER (octave_idx_type, Pinv, (P ? n : 0)); | |
5164 | 59 if (P) |
60 // If P is present then compute Pinv, the inverse of P | |
5440 | 61 for (octave_idx_type k = 0 ; k < n ; k++) |
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62 Pinv[P[k]] = k; |
5164 | 63 |
5440 | 64 for (octave_idx_type k = 0 ; k < n ; k++) |
5164 | 65 { |
66 // L(k,:) pattern: all nodes reachable in etree from nz in A(0:k-1,k) | |
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67 Parent[k] = n ; // parent of k is not yet known |
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68 Flag[k] = k ; // mark node k as visited |
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69 octave_idx_type kk = (P ? P[k] : k); // kth original, or permuted, column |
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70 octave_idx_type p2 = cidx[kk+1]; |
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71 for (octave_idx_type p = cidx[kk] ; p < p2 ; p++) |
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72 { |
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73 // A (i,k) is nonzero (original or permuted A) |
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74 octave_idx_type i = (P ? Pinv[ridx[p]] : ridx[p]); |
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75 if (i < k) |
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76 { |
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77 // follow path from i to root of etree, stop at flagged node |
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78 for ( ; Flag[i] != k ; i = Parent[i]) |
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79 { |
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80 // find parent of i if not yet determined |
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81 if (Parent[i] == n) |
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82 Parent[i] = k; |
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83 Flag[i] = k ; // mark i as visited |
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84 } |
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85 } |
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86 } |
5164 | 87 } |
88 } | |
89 | |
90 // The elimination tree post-ordering code below is taken from SuperLU | |
7924 | 91 static inline octave_idx_type |
92 make_set (octave_idx_type i, octave_idx_type *pp) | |
5164 | 93 { |
94 pp[i] = i; | |
95 return i; | |
96 } | |
97 | |
7924 | 98 static inline octave_idx_type |
99 link (octave_idx_type s, octave_idx_type t, octave_idx_type *pp) | |
5164 | 100 { |
101 pp[s] = t; | |
102 return t; | |
103 } | |
104 | |
7924 | 105 static inline octave_idx_type |
106 find (octave_idx_type i, octave_idx_type *pp) | |
5164 | 107 { |
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108 octave_idx_type p = pp[i]; |
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109 octave_idx_type gp = pp[p]; |
7924 | 110 |
111 while (gp != p) | |
112 { | |
113 pp[i] = gp; | |
114 i = gp; | |
115 p = pp[i]; | |
116 gp = pp[p]; | |
117 } | |
118 | |
119 return p; | |
5164 | 120 } |
121 | |
7924 | 122 static octave_idx_type |
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123 etdfs (octave_idx_type v, octave_idx_type *first_kid, |
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124 octave_idx_type *next_kid, octave_idx_type *post, |
7924 | 125 octave_idx_type postnum) |
5164 | 126 { |
7924 | 127 for (octave_idx_type w = first_kid[v]; w != -1; w = next_kid[w]) |
5164 | 128 postnum = etdfs (w, first_kid, next_kid, post, postnum); |
7924 | 129 |
5164 | 130 post[postnum++] = v; |
131 | |
132 return postnum; | |
133 } | |
134 | |
7924 | 135 static void |
136 tree_postorder (octave_idx_type n, octave_idx_type *parent, | |
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137 octave_idx_type *post) |
5164 | 138 { |
139 // Allocate storage for working arrays and results | |
5440 | 140 OCTAVE_LOCAL_BUFFER (octave_idx_type, first_kid, n+1); |
141 OCTAVE_LOCAL_BUFFER (octave_idx_type, next_kid, n+1); | |
5164 | 142 |
143 // Set up structure describing children | |
7924 | 144 for (octave_idx_type v = 0; v <= n; first_kid[v++] = -1) |
20946 | 145 ; // do nothing |
7924 | 146 |
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147 for (octave_idx_type v = n-1; v >= 0; v--) |
5164 | 148 { |
5440 | 149 octave_idx_type dad = parent[v]; |
5164 | 150 next_kid[v] = first_kid[dad]; |
151 first_kid[dad] = v; | |
152 } | |
153 | |
154 // Depth-first search from dummy root vertex #n | |
155 etdfs (n, first_kid, next_kid, post, 0); | |
156 } | |
157 | |
7924 | 158 static void |
159 coletree (const octave_idx_type *ridx, const octave_idx_type *colbeg, | |
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160 octave_idx_type *colend, octave_idx_type *parent, |
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161 octave_idx_type nr, octave_idx_type nc) |
5164 | 162 { |
5440 | 163 OCTAVE_LOCAL_BUFFER (octave_idx_type, root, nc); |
164 OCTAVE_LOCAL_BUFFER (octave_idx_type, pp, nc); | |
165 OCTAVE_LOCAL_BUFFER (octave_idx_type, firstcol, nr); | |
5164 | 166 |
167 // Compute firstcol[row] = first nonzero column in row | |
7924 | 168 for (octave_idx_type row = 0; row < nr; firstcol[row++] = nc) |
20946 | 169 ; // do nothing |
7924 | 170 |
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171 for (octave_idx_type col = 0; col < nc; col++) |
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172 for (octave_idx_type p = colbeg[col]; p < colend[col]; p++) |
5164 | 173 { |
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174 octave_idx_type row = ridx[p]; |
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175 if (firstcol[row] > col) |
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176 firstcol[row] = col; |
5164 | 177 } |
178 | |
179 // Compute etree by Liu's algorithm for symmetric matrices, | |
180 // except use (firstcol[r],c) in place of an edge (r,c) of A. | |
181 // Thus each row clique in A'*A is replaced by a star | |
182 // centered at its first vertex, which has the same fill. | |
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183 for (octave_idx_type col = 0; col < nc; col++) |
5164 | 184 { |
5440 | 185 octave_idx_type cset = make_set (col, pp); |
5164 | 186 root[cset] = col; |
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187 parent[col] = nc; |
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188 for (octave_idx_type p = colbeg[col]; p < colend[col]; p++) |
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189 { |
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190 octave_idx_type row = firstcol[ridx[p]]; |
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191 if (row >= col) |
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192 continue; |
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193 octave_idx_type rset = find (row, pp); |
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194 octave_idx_type rroot = root[rset]; |
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195 if (rroot != col) |
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196 { |
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197 parent[rroot] = col; |
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198 cset = link (cset, rset, pp); |
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199 root[cset] = col; |
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200 } |
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201 } |
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203 } | |
204 | |
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205 DEFUN (colamd, args, nargout, |
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206 doc: /* -*- texinfo -*- |
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207 @deftypefn {} {@var{p} =} colamd (@var{S}) |
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208 @deftypefnx {} {@var{p} =} colamd (@var{S}, @var{knobs}) |
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209 @deftypefnx {} {[@var{p}, @var{stats}] =} colamd (@var{S}) |
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210 @deftypefnx {} {[@var{p}, @var{stats}] =} colamd (@var{S}, @var{knobs}) |
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211 |
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212 Compute the column approximate minimum degree permutation. |
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213 |
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214 @code{@var{p} = colamd (@var{S})} returns the column approximate minimum |
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215 degree permutation vector for the sparse matrix @var{S}. For a |
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216 non-symmetric matrix @var{S}, @code{@var{S}(:,@var{p})} tends to have |
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217 sparser LU@tie{}factors than @var{S}. The Cholesky@tie{}factorization of |
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218 @code{@var{S}(:,@var{p})' * @var{S}(:,@var{p})} also tends to be sparser |
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219 than that of @code{@var{S}' * @var{S}}. |
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220 |
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221 @var{knobs} is an optional one- to three-element input vector. If @var{S} |
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222 is m-by-n, then rows with more than @code{max(16,@var{knobs}(1)*sqrt(n))} |
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223 entries are ignored. Columns with more than |
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224 @code{max (16,@var{knobs}(2)*sqrt(min(m,n)))} entries are removed prior to |
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225 ordering, and ordered last in the output permutation @var{p}. Only |
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226 completely dense rows or columns are removed if @code{@var{knobs}(1)} and |
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227 @code{@var{knobs}(2)} are < 0, respectively. If @code{@var{knobs}(3)} is |
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228 nonzero, @var{stats} and @var{knobs} are printed. The default is |
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229 @code{@var{knobs} = [10 10 0]}. Note that @var{knobs} differs from earlier |
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230 versions of colamd. |
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231 |
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232 @var{stats} is an optional 20-element output vector that provides data |
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233 about the ordering and the validity of the input matrix @var{S}. Ordering |
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234 statistics are in @code{@var{stats}(1:3)}. @code{@var{stats}(1)} and |
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235 @code{@var{stats}(2)} are the number of dense or empty rows and columns |
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236 ignored by @sc{colamd} and @code{@var{stats}(3)} is the number of garbage |
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237 collections performed on the internal data structure used by @sc{colamd} |
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238 (roughly of size @code{2.2 * nnz(@var{S}) + 4 * @var{m} + 7 * @var{n}} |
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239 integers). |
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240 |
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241 Octave built-in functions are intended to generate valid sparse matrices, |
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242 with no duplicate entries, with ascending row indices of the nonzeros |
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243 in each column, with a non-negative number of entries in each column (!) |
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244 and so on. If a matrix is invalid, then @sc{colamd} may or may not be able |
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245 to continue. If there are duplicate entries (a row index appears two or |
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246 more times in the same column) or if the row indices in a column are out |
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247 of order, then @sc{colamd} can correct these errors by ignoring the |
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248 duplicate entries and sorting each column of its internal copy of the |
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249 matrix @var{S} (the input matrix @var{S} is not repaired, however). If a |
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250 matrix is invalid in other ways then @sc{colamd} cannot continue, an error |
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251 message is printed, and no output arguments (@var{p} or @var{stats}) are |
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252 returned. |
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253 @sc{colamd} is thus a simple way to check a sparse matrix to see if it's |
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254 valid. |
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255 |
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256 @code{@var{stats}(4:7)} provide information if @sc{colamd} was able to |
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257 continue. The matrix is OK if @code{@var{stats}(4)} is zero, or 1 if |
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258 invalid. @code{@var{stats}(5)} is the rightmost column index that is |
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259 unsorted or contains duplicate entries, or zero if no such column exists. |
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260 @code{@var{stats}(6)} is the last seen duplicate or out-of-order row |
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261 index in the column index given by @code{@var{stats}(5)}, or zero if no |
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262 such row index exists. @code{@var{stats}(7)} is the number of duplicate |
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263 or out-of-order row indices. @code{@var{stats}(8:20)} is always zero in |
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264 the current version of @sc{colamd} (reserved for future use). |
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265 |
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266 The ordering is followed by a column elimination tree post-ordering. |
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267 |
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268 The authors of the code itself are @nospell{Stefan I. Larimore} and |
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269 @nospell{Timothy A. Davis}. The algorithm was developed in collaboration with |
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270 @nospell{John Gilbert}, Xerox PARC, and @nospell{Esmond Ng}, Oak Ridge National |
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271 Laboratory. (see @url{http://faculty.cse.tamu.edu/davis/suitesparse.html}) |
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272 @seealso{colperm, symamd, ccolamd} |
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273 @end deftypefn */) |
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275 #if defined (HAVE_COLAMD) |
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276 |
5164 | 277 int nargin = args.length (); |
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278 |
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279 if (nargin < 1 || nargin > 2) |
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281 |
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282 octave_value_list retval (nargout == 2 ? 2 : 1); |
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283 int spumoni = 0; |
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284 |
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285 // Get knobs |
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286 static_assert (COLAMD_KNOBS <= 40, |
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287 "colamd: # of COLAMD_KNOBS exceeded. Please report this to bugs.octave.org"); |
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288 double knob_storage[COLAMD_KNOBS]; |
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289 double *knobs = &knob_storage[0]; |
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290 COLAMD_NAME (_set_defaults) (knobs); |
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292 // Check for user-passed knobs |
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293 if (nargin == 2) |
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294 { |
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295 NDArray User_knobs = args(1).array_value (); |
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296 int nel_User_knobs = User_knobs.numel (); |
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297 |
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298 if (nel_User_knobs > 0) |
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299 knobs[COLAMD_DENSE_ROW] = User_knobs(0); |
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300 if (nel_User_knobs > 1) |
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301 knobs[COLAMD_DENSE_COL] = User_knobs(1); |
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302 if (nel_User_knobs > 2) |
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303 spumoni = static_cast<int> (User_knobs(2)); |
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305 // print knob settings if spumoni is set |
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306 if (spumoni) |
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307 { |
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309 octave_stdout << "\ncolamd version " << COLAMD_MAIN_VERSION |
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310 << '.' << COLAMD_SUB_VERSION |
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311 << ", " << COLAMD_DATE << ":\n"; |
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313 if (knobs[COLAMD_DENSE_ROW] >= 0) |
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314 octave_stdout << "knobs(1): " << User_knobs (0) |
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315 << ", rows with > max (16," |
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316 << knobs[COLAMD_DENSE_ROW] << "*sqrt (columns(A)))" |
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317 << " entries removed\n"; |
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318 else |
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319 octave_stdout << "knobs(1): " << User_knobs (0) |
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320 << ", only completely dense rows removed\n"; |
5440 | 321 |
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322 if (knobs[COLAMD_DENSE_COL] >= 0) |
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323 octave_stdout << "knobs(2): " << User_knobs (1) |
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324 << ", cols with > max (16," |
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325 << knobs[COLAMD_DENSE_COL] << "*sqrt (size(A)))" |
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326 << " entries removed\n"; |
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327 else |
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328 octave_stdout << "knobs(2): " << User_knobs (1) |
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329 << ", only completely dense columns removed\n"; |
5164 | 330 |
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331 octave_stdout << "knobs(3): " << User_knobs (2) |
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332 << ", statistics and knobs printed\n"; |
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333 |
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334 } |
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335 } |
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336 |
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337 octave_idx_type n_row, n_col, nnz; |
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338 octave_idx_type *ridx, *cidx; |
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339 SparseComplexMatrix scm; |
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340 SparseMatrix sm; |
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341 |
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342 if (args(0).issparse ()) |
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343 { |
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344 if (args(0).iscomplex ()) |
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345 { |
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346 scm = args(0).sparse_complex_matrix_value (); |
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347 n_row = scm.rows (); |
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348 n_col = scm.cols (); |
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349 nnz = scm.nnz (); |
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350 ridx = scm.xridx (); |
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351 cidx = scm.xcidx (); |
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352 } |
5164 | 353 else |
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354 { |
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355 sm = args(0).sparse_matrix_value (); |
5164 | 356 |
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357 n_row = sm.rows (); |
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358 n_col = sm.cols (); |
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359 nnz = sm.nnz (); |
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360 ridx = sm.xridx (); |
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361 cidx = sm.xcidx (); |
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362 } |
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363 } |
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364 else |
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365 { |
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366 if (args(0).iscomplex ()) |
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367 sm = SparseMatrix (real (args(0).complex_matrix_value ())); |
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368 else |
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369 sm = SparseMatrix (args(0).matrix_value ()); |
5164 | 370 |
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371 n_row = sm.rows (); |
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372 n_col = sm.cols (); |
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373 nnz = sm.nnz (); |
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374 ridx = sm.xridx (); |
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375 cidx = sm.xcidx (); |
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376 } |
5164 | 377 |
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378 // Allocate workspace for colamd |
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379 OCTAVE_LOCAL_BUFFER (suitesparse_integer, p, n_col+1); |
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380 for (octave_idx_type i = 0; i < n_col+1; i++) |
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381 p[i] = cidx[i]; |
5164 | 382 |
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383 octave_idx_type Alen = COLAMD_NAME (_recommended) (nnz, n_row, n_col); |
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384 OCTAVE_LOCAL_BUFFER (suitesparse_integer, A, Alen); |
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385 for (octave_idx_type i = 0; i < nnz; i++) |
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386 A[i] = ridx[i]; |
5164 | 387 |
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388 // Order the columns (destroys A) |
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389 static_assert (COLAMD_STATS <= 40, |
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390 "colamd: # of COLAMD_STATS exceeded. Please report this to bugs.octave.org"); |
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391 suitesparse_integer stats_storage[COLAMD_STATS]; |
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392 suitesparse_integer *stats = &stats_storage[0]; |
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393 if (! COLAMD_NAME () (n_row, n_col, Alen, A, p, knobs, stats)) |
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394 { |
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395 COLAMD_NAME (_report)(stats); |
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396 |
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397 error ("colamd: internal error!"); |
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398 } |
5164 | 399 |
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400 // column elimination tree post-ordering (reuse variables) |
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401 OCTAVE_LOCAL_BUFFER (octave_idx_type, colbeg, n_col + 1); |
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402 OCTAVE_LOCAL_BUFFER (octave_idx_type, colend, n_col + 1); |
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403 OCTAVE_LOCAL_BUFFER (octave_idx_type, etree, n_col + 1); |
5164 | 404 |
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405 for (octave_idx_type i = 0; i < n_col; i++) |
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406 { |
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407 colbeg[i] = cidx[p[i]]; |
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408 colend[i] = cidx[p[i]+1]; |
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409 } |
5164 | 410 |
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411 coletree (ridx, colbeg, colend, etree, n_row, n_col); |
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412 |
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413 // Calculate the tree post-ordering |
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414 tree_postorder (n_col, etree, colbeg); |
5164 | 415 |
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416 // return the permutation vector |
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417 NDArray out_perm (dim_vector (1, n_col)); |
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418 for (octave_idx_type i = 0; i < n_col; i++) |
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419 out_perm(i) = p[colbeg[i]] + 1; |
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420 |
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421 retval(0) = out_perm; |
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422 |
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423 // print stats if spumoni > 0 |
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424 if (spumoni > 0) |
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425 COLAMD_NAME (_report)(stats); |
5164 | 426 |
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427 // Return the stats vector |
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428 if (nargout == 2) |
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429 { |
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430 NDArray out_stats (dim_vector (1, COLAMD_STATS)); |
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431 for (octave_idx_type i = 0 ; i < COLAMD_STATS ; i++) |
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432 out_stats(i) = stats[i]; |
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433 retval(1) = out_stats; |
5164 | 434 |
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435 // fix stats (5) and (6), for 1-based information on |
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436 // jumbled matrix. note that this correction doesn't |
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437 // occur if symamd returns FALSE |
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438 out_stats(COLAMD_INFO1)++; |
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439 out_stats(COLAMD_INFO2)++; |
5164 | 440 } |
441 | |
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442 return retval; |
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443 |
5451 | 444 #else |
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445 |
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446 octave_unused_parameter (args); |
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447 octave_unused_parameter (nargout); |
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448 |
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449 err_disabled_feature ("colamd", "COLAMD"); |
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450 |
5451 | 451 #endif |
5164 | 452 } |
453 | |
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454 DEFUN (symamd, args, nargout, |
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455 doc: /* -*- texinfo -*- |
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456 @deftypefn {} {@var{p} =} symamd (@var{S}) |
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457 @deftypefnx {} {@var{p} =} symamd (@var{S}, @var{knobs}) |
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458 @deftypefnx {} {[@var{p}, @var{stats}] =} symamd (@var{S}) |
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459 @deftypefnx {} {[@var{p}, @var{stats}] =} symamd (@var{S}, @var{knobs}) |
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460 |
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461 For a symmetric positive definite matrix @var{S}, returns the permutation |
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462 vector p such that @code{@var{S}(@var{p}, @var{p})} tends to have a |
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463 sparser Cholesky@tie{}factor than @var{S}. |
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464 |
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465 Sometimes @code{symamd} works well for symmetric indefinite matrices too. |
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466 The matrix @var{S} is assumed to be symmetric; only the strictly lower |
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467 triangular part is referenced. @var{S} must be square. |
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468 |
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469 @var{knobs} is an optional one- to two-element input vector. If @var{S} is |
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470 n-by-n, then rows and columns with more than |
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471 @code{max (16,@var{knobs}(1)*sqrt(n))} entries are removed prior to |
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472 ordering, and ordered last in the output permutation @var{p}. No |
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473 rows/columns are removed if @code{@var{knobs}(1) < 0}. If |
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474 @code{@var{knobs}(2)} is nonzero, @var{stats} and @var{knobs} are |
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475 printed. The default is @code{@var{knobs} = [10 0]}. Note that |
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476 @var{knobs} differs from earlier versions of @code{symamd}. |
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477 |
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478 @var{stats} is an optional 20-element output vector that provides data |
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479 about the ordering and the validity of the input matrix @var{S}. Ordering |
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480 statistics are in @code{@var{stats}(1:3)}. |
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481 @code{@var{stats}(1) = @var{stats}(2)} is the number of dense or empty rows |
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482 and columns ignored by SYMAMD and @code{@var{stats}(3)} is the number of |
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483 garbage collections performed on the internal data structure used by SYMAMD |
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484 (roughly of size @code{8.4 * nnz (tril (@var{S}, -1)) + 9 * @var{n}} |
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485 integers). |
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486 |
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487 Octave built-in functions are intended to generate valid sparse matrices, |
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488 with no duplicate entries, with ascending row indices of the nonzeros |
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489 in each column, with a non-negative number of entries in each column (!) |
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490 and so on. If a matrix is invalid, then SYMAMD may or may not be able |
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491 to continue. If there are duplicate entries (a row index appears two or |
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492 more times in the same column) or if the row indices in a column are out |
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493 of order, then SYMAMD can correct these errors by ignoring the duplicate |
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494 entries and sorting each column of its internal copy of the matrix S (the |
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495 input matrix S is not repaired, however). If a matrix is invalid in |
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496 other ways then SYMAMD cannot continue, an error message is printed, and |
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497 no output arguments (@var{p} or @var{stats}) are returned. SYMAMD is |
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498 thus a simple way to check a sparse matrix to see if it's valid. |
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499 |
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500 @code{@var{stats}(4:7)} provide information if SYMAMD was able to |
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501 continue. The matrix is OK if @code{@var{stats} (4)} is zero, or 1 |
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502 if invalid. @code{@var{stats}(5)} is the rightmost column index that |
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503 is unsorted or contains duplicate entries, or zero if no such column |
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504 exists. @code{@var{stats}(6)} is the last seen duplicate or out-of-order |
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505 row index in the column index given by @code{@var{stats}(5)}, or zero |
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506 if no such row index exists. @code{@var{stats}(7)} is the number of |
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507 duplicate or out-of-order row indices. @code{@var{stats}(8:20)} is |
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508 always zero in the current version of SYMAMD (reserved for future use). |
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509 |
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510 The ordering is followed by a column elimination tree post-ordering. |
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511 |
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512 The authors of the code itself are @nospell{Stefan I. Larimore} and |
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513 @nospell{Timothy A. Davis}. The algorithm was developed in collaboration with |
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514 @nospell{John Gilbert}, Xerox PARC, and @nospell{Esmond Ng}, Oak Ridge National |
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515 Laboratory. (see @url{http://faculty.cse.tamu.edu/davis/suitesparse.html}) |
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516 @seealso{colperm, colamd} |
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517 @end deftypefn */) |
5164 | 518 { |
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519 #if defined (HAVE_COLAMD) |
5451 | 520 |
5164 | 521 int nargin = args.length (); |
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522 |
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523 if (nargin < 1 || nargin > 2) |
5823 | 524 print_usage (); |
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525 |
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526 octave_value_list retval (nargin == 2 ? 2 : 1); |
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527 int spumoni = 0; |
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528 |
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529 // Get knobs |
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530 static_assert (COLAMD_KNOBS <= 40, |
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531 "symamd: # of COLAMD_KNOBS exceeded. Please report this to bugs.octave.org"); |
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532 double knob_storage[COLAMD_KNOBS]; |
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533 double *knobs = &knob_storage[0]; |
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534 COLAMD_NAME (_set_defaults) (knobs); |
5164 | 535 |
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536 // Check for user-passed knobs |
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537 if (nargin == 2) |
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538 { |
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539 NDArray User_knobs = args(1).array_value (); |
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540 int nel_User_knobs = User_knobs.numel (); |
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541 |
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542 if (nel_User_knobs > 0) |
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543 knobs[COLAMD_DENSE_ROW] = User_knobs(COLAMD_DENSE_ROW); |
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544 if (nel_User_knobs > 1) |
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545 spumoni = static_cast<int> (User_knobs (1)); |
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546 } |
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547 |
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548 // print knob settings if spumoni is set |
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549 if (spumoni > 0) |
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550 octave_stdout << "symamd: dense row/col fraction: " |
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551 << knobs[COLAMD_DENSE_ROW] << std::endl; |
5164 | 552 |
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553 octave_idx_type n_row, n_col; |
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554 octave_idx_type *ridx, *cidx; |
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555 SparseMatrix sm; |
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556 SparseComplexMatrix scm; |
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557 |
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558 if (args(0).issparse ()) |
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559 { |
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560 if (args(0).iscomplex ()) |
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561 { |
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562 scm = args(0).sparse_complex_matrix_value (); |
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563 n_row = scm.rows (); |
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564 n_col = scm.cols (); |
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565 ridx = scm.xridx (); |
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566 cidx = scm.xcidx (); |
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567 } |
5164 | 568 else |
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569 { |
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570 sm = args(0).sparse_matrix_value (); |
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571 n_row = sm.rows (); |
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572 n_col = sm.cols (); |
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573 ridx = sm.xridx (); |
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574 cidx = sm.xcidx (); |
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575 } |
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576 } |
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577 else |
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578 { |
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579 if (args(0).iscomplex ()) |
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580 sm = SparseMatrix (real (args(0).complex_matrix_value ())); |
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581 else |
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582 sm = SparseMatrix (args(0).matrix_value ()); |
5164 | 583 |
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584 n_row = sm.rows (); |
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585 n_col = sm.cols (); |
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586 ridx = sm.xridx (); |
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587 cidx = sm.xcidx (); |
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588 } |
5164 | 589 |
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590 if (n_row != n_col) |
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591 err_square_matrix_required ("symamd", "S"); |
5164 | 592 |
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593 // Allocate workspace for symamd |
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594 OCTAVE_LOCAL_BUFFER (octave_idx_type, perm, n_col+1); |
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595 static_assert (COLAMD_STATS <= 40, |
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596 "symamd: # of COLAMD_STATS exceeded. Please report this to bugs.octave.org"); |
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597 suitesparse_integer stats_storage[COLAMD_STATS]; |
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598 suitesparse_integer *stats = &stats_storage[0]; |
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599 if (! SYMAMD_NAME () (n_col, to_suitesparse_intptr (ridx), |
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600 to_suitesparse_intptr (cidx), |
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601 to_suitesparse_intptr (perm), |
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602 knobs, stats, &calloc, &free)) |
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603 { |
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604 SYMAMD_NAME (_report)(stats); |
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605 |
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606 error ("symamd: internal error!"); |
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607 } |
5164 | 608 |
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609 // column elimination tree post-ordering |
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610 OCTAVE_LOCAL_BUFFER (octave_idx_type, etree, n_col + 1); |
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611 symetree (ridx, cidx, etree, perm, n_col); |
5164 | 612 |
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613 // Calculate the tree post-ordering |
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614 OCTAVE_LOCAL_BUFFER (octave_idx_type, post, n_col + 1); |
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615 tree_postorder (n_col, etree, post); |
5164 | 616 |
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617 // return the permutation vector |
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618 NDArray out_perm (dim_vector (1, n_col)); |
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619 for (octave_idx_type i = 0; i < n_col; i++) |
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620 out_perm(i) = perm[post[i]] + 1; |
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621 |
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622 retval(0) = out_perm; |
5164 | 623 |
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624 // print stats if spumoni > 0 |
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625 if (spumoni > 0) |
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626 SYMAMD_NAME (_report)(stats); |
5164 | 627 |
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628 // Return the stats vector |
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629 if (nargout == 2) |
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630 { |
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631 NDArray out_stats (dim_vector (1, COLAMD_STATS)); |
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632 for (octave_idx_type i = 0 ; i < COLAMD_STATS ; i++) |
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633 out_stats(i) = stats[i]; |
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634 retval(1) = out_stats; |
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635 |
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636 // fix stats (5) and (6), for 1-based information on |
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637 // jumbled matrix. note that this correction doesn't |
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638 // occur if symamd returns FALSE |
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639 out_stats(COLAMD_INFO1)++; |
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640 out_stats(COLAMD_INFO2)++; |
5164 | 641 } |
642 | |
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643 return retval; |
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644 |
5451 | 645 #else |
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646 |
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647 octave_unused_parameter (args); |
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648 octave_unused_parameter (nargout); |
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649 |
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650 err_disabled_feature ("symamd", "COLAMD"); |
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651 |
5451 | 652 #endif |
5164 | 653 } |
654 | |
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655 DEFUN (etree, args, nargout, |
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656 doc: /* -*- texinfo -*- |
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657 @deftypefn {} {@var{p} =} etree (@var{S}) |
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658 @deftypefnx {} {@var{p} =} etree (@var{S}, @var{typ}) |
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659 @deftypefnx {} {[@var{p}, @var{q}] =} etree (@var{S}, @var{typ}) |
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660 |
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661 Return the elimination tree for the matrix @var{S}. |
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662 |
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663 By default @var{S} is assumed to be symmetric and the symmetric elimination |
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664 tree is returned. The argument @var{typ} controls whether a symmetric or |
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665 column elimination tree is returned. Valid values of @var{typ} are |
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666 @qcode{"sym"} or @qcode{"col"}, for symmetric or column elimination tree |
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667 respectively. |
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668 |
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669 Called with a second argument, @code{etree} also returns the postorder |
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670 permutations on the tree. |
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671 @end deftypefn */) |
5164 | 672 { |
673 int nargin = args.length (); | |
674 | |
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675 if (nargin < 1 || nargin > 2) |
5823 | 676 print_usage (); |
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677 |
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678 octave_value_list retval (nargout == 2 ? 2 : 1); |
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679 |
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680 octave_idx_type n_row = 0; |
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681 octave_idx_type n_col = 0; |
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682 octave_idx_type *ridx = nullptr; |
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683 octave_idx_type *cidx = nullptr; |
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684 |
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685 SparseComplexMatrix scm; |
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686 SparseBoolMatrix sbm; |
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687 SparseMatrix sm; |
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688 |
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689 if (args(0).iscomplex ()) |
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690 { |
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691 scm = args(0).sparse_complex_matrix_value (); |
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692 |
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693 n_row = scm.rows (); |
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694 n_col = scm.cols (); |
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695 ridx = scm.xridx (); |
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696 cidx = scm.xcidx (); |
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697 } |
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698 else if (args(0).islogical ()) |
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699 { |
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|
700 sbm = args(0).sparse_bool_matrix_value (); |
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701 |
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702 n_row = sbm.rows (); |
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703 n_col = sbm.cols (); |
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704 ridx = sbm.xridx (); |
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705 cidx = sbm.xcidx (); |
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706 } |
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|
707 else |
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|
708 { |
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709 sm = args(0).sparse_matrix_value (); |
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|
710 |
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|
711 n_row = sm.rows (); |
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|
712 n_col = sm.cols (); |
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713 ridx = sm.xridx (); |
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714 cidx = sm.xcidx (); |
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715 } |
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716 |
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717 bool is_sym = true; |
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718 |
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719 if (nargin == 2) |
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720 { |
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|
721 std::string str = args(1).xstring_value ("etree: TYP must be a string"); |
23807
336f89b6208b
Use character literals 'c' rather than string literals "c" when possible.
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722 if (str.find ('C') == 0 || str.find ('c') == 0) |
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723 is_sym = false; |
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724 } |
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|
725 |
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726 // column elimination tree post-ordering (reuse variables) |
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727 OCTAVE_LOCAL_BUFFER (octave_idx_type, etree, n_col + 1); |
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|
728 |
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|
729 if (is_sym) |
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|
730 { |
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|
731 if (n_row != n_col) |
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|
732 error ("etree: S is marked as symmetric, but is not square"); |
5164 | 733 |
23795
980f39c3ab90
Use C++11 nullptr rather than 0 in code (bug #51565).
Rik <rik@octave.org>
parents:
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diff
changeset
|
734 symetree (ridx, cidx, etree, nullptr, n_col); |
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|
735 } |
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736 else |
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|
737 { |
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|
738 OCTAVE_LOCAL_BUFFER (octave_idx_type, colbeg, n_col); |
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|
739 OCTAVE_LOCAL_BUFFER (octave_idx_type, colend, n_col); |
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740 |
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741 for (octave_idx_type i = 0; i < n_col; i++) |
10154
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
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|
742 { |
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|
743 colbeg[i] = cidx[i]; |
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|
744 colend[i] = cidx[i+1]; |
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|
745 } |
7924 | 746 |
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|
747 coletree (ridx, colbeg, colend, etree, n_row, n_col); |
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|
748 } |
7924 | 749 |
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diff
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|
750 NDArray tree (dim_vector (1, n_col)); |
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|
751 for (octave_idx_type i = 0; i < n_col; i++) |
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|
752 // We flag a root with n_col while Matlab does it with zero |
29392
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Rik <rik@octave.org>
parents:
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|
753 // Convert for Matlab-compatible output |
20790
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754 if (etree[i] == n_col) |
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changeset
|
755 tree(i) = 0; |
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diff
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|
756 else |
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changeset
|
757 tree(i) = etree[i] + 1; |
5164 | 758 |
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diff
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|
759 retval(0) = tree; |
5164 | 760 |
20790
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|
761 if (nargout == 2) |
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diff
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|
762 { |
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|
763 // Calculate the tree post-ordering |
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|
764 OCTAVE_LOCAL_BUFFER (octave_idx_type, post, n_col + 1); |
c2d9556d51d0
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changeset
|
765 tree_postorder (n_col, etree, post); |
5164 | 766 |
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diff
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|
767 NDArray postorder (dim_vector (1, n_col)); |
c2d9556d51d0
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|
768 for (octave_idx_type i = 0; i < n_col; i++) |
c2d9556d51d0
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diff
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|
769 postorder(i) = post[i] + 1; |
5164 | 770 |
20790
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diff
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|
771 retval(1) = postorder; |
5164 | 772 } |
773 | |
774 return retval; | |
775 } | |
26123
0c7a9fa16998
colamd.cc: Fix segmentation fault with etree.
Markus Mützel <markus.muetzel@gmx.de>
parents:
25472
diff
changeset
|
776 |
0c7a9fa16998
colamd.cc: Fix segmentation fault with etree.
Markus Mützel <markus.muetzel@gmx.de>
parents:
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diff
changeset
|
777 /* |
28907
11f1207111c5
maint: Don't use semicolon at end of single-line BIST tests.
Rik <rik@octave.org>
parents:
28888
diff
changeset
|
778 %!assert (etree (sparse ([1,2], [1,2], [1,1], 2, 2)), [0, 0]) |
11f1207111c5
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|
779 %!assert (etree (sparse ([1,2], [1,2], [true, true], 2, 2)), [0, 0]) |
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maint: Don't use semicolon at end of single-line BIST tests.
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changeset
|
780 %!assert (etree (sparse ([1,2], [1,2], [i,i], 2, 2)), [0, 0]) |
11f1207111c5
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Rik <rik@octave.org>
parents:
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|
781 %!assert (etree (gallery ("poisson", 16)), [2:256, 0]) |
26123
0c7a9fa16998
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parents:
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diff
changeset
|
782 |
29392
7797e2f3c69b
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parents:
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diff
changeset
|
783 %!error <Invalid call> etree () |
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parents:
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diff
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|
784 %!error <Invalid call> etree (1, 2, 3) |
26123
0c7a9fa16998
colamd.cc: Fix segmentation fault with etree.
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diff
changeset
|
785 %!error <TYP must be a string> etree (speye (2), 3) |
0c7a9fa16998
colamd.cc: Fix segmentation fault with etree.
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parents:
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diff
changeset
|
786 %!error <is not square> etree (sprand (2, 4, .25)) |
0c7a9fa16998
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parents:
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diff
changeset
|
787 */ |
29958
32c3a5805893
move DEFUN and DEFMETHOD functions inside octave namespace
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parents:
29392
diff
changeset
|
788 |
32c3a5805893
move DEFUN and DEFMETHOD functions inside octave namespace
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diff
changeset
|
789 OCTAVE_NAMESPACE_END |