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annotate doc/interpreter/sparseimages.m @ 20351:d8992a16643c

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doc: Clean up m-files which generate images for Manual. * geometryimages.m, interpimages.m, plotimages.m, sparseimages.m, splineimages.m: Use the same style throughout the mi-files. Obey Octave coding conventions.
author Rik <rik@octave.org>
date Thu, 09 Jul 2015 21:38:57 -0700
parents c3c1fb44f9b5
children b439ccc9a162
Ignore whitespace changes - Everywhere: Within whitespace: At end of lines:
rev   line source
19731
4197fc428c7d maint: Update copyright notices for 2015.
John W. Eaton <jwe@octave.org>
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1 ## Copyright (C) 2006-2015 David Bateman
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2 ##
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3 ## This file is part of Octave.
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4 ##
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5 ## Octave is free software; you can redistribute it and/or modify it
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6 ## under the terms of the GNU General Public License as published by
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7 ## the Free Software Foundation; either version 3 of the License, or (at
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8 ## your option) any later version.
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9 ##
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10 ## Octave is distributed in the hope that it will be useful, but
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11 ## WITHOUT ANY WARRANTY; without even the implied warranty of
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12 ## MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
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13 ## General Public License for more details.
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14 ##
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15 ## You should have received a copy of the GNU General Public License
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16 ## along with Octave; see the file COPYING. If not, see
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17 ## <http://www.gnu.org/licenses/>.
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18
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19 function sparseimages (d, nm, typ)
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20 graphics_toolkit ("gnuplot");
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21 set_print_size ();
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22 if (strcmp (typ, "png"))
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23 set (0, "defaulttextfontname", "*");
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24 endif
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25
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26 if (__have_feature__ ("COLAMD")
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27 && __have_feature__ ("CHOLMOD")
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28 && __have_feature__ ("UMFPACK"))
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29 if (strcmp (typ,"txt"))
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30 txtimages (d, nm, 15, typ);
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31 else
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32 if (strcmp (nm, "gplot"))
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33 gplotimages (d, "gplot", typ);
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34 elseif (strcmp (nm, "grid"))
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35 femimages (d, "grid", typ);
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36 else
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37 otherimages (d, nm, 200, typ);
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38 endif
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39 endif
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40 else ## There is no sparse matrix implementation available because
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41 ## of missing libraries, plot sombreros instead
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42 sombreroimage (d, nm, typ);
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43 endif
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44 endfunction
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45
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46 function gplotimages (d, nm, typ)
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47 hide_output ();
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48 outfile = fullfile (d, strcat (nm, ".", typ));
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49 if (strcmp (typ, "eps"))
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50 d_typ = "-depsc2";
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51 else
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52 d_typ = ["-d" typ];
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53 endif
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54
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55 A = sparse ([2,6,1,3,2,4,3,5,4,6,1,5],
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56 [1,1,2,2,3,3,4,4,5,5,6,6], 1, 6, 6);
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57 xy = [0,4,8,6,4,2;5,0,5,7,5,7]';
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58 gplot (A, xy);
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59 print (outfile, d_typ);
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60 hide_output ();
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61 endfunction
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62
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63 function txtimages (d, nm, n, typ)
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64 outfile = fullfile (d, strcat (nm, ".", typ));
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65 a = 10*speye (n) + sparse (1:n,ceil([1:n]/2),1,n,n) + ...
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66 sparse (ceil ([1:n]/2),1:n,1,n,n);
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67 if (strcmp (nm, "gplot") || strcmp (nm, "grid"))
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68 fid = fopen (fullfile (d, strcat (nm, ".txt")), "wt");
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69 fputs (fid, "\n");
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70 fputs (fid, "+---------------------------------+\n");
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71 fputs (fid, "| Image unavailable in text mode. |\n");
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72 fputs (fid, "+---------------------------------+\n");
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73 fclose (fid);
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74 elseif (strcmp (nm, "spmatrix"))
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75 printsparse (a, outfile);
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76 else
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77 if (__have_feature__ ("COLAMD") && __have_feature__ ("CHOLMOD"))
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78 if (strcmp (nm, "spchol"))
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79 r1 = chol (a);
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80 printsparse (r1, outfile);
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81 elseif (strcmp (nm, "spcholperm"))
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82 [r2,p2,q2] = chol (a);
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83 printsparse (r2, outfile);
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84 endif
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85 ## printf("Text NNZ: Matrix %d, Chol %d, PermChol %d\n",nnz(a),nnz(r1),nnz(r2));
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86 endif
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87 endif
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88 endfunction
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89
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90 function otherimages (d, nm, n, typ)
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91 hide_output ();
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92 outfile = fullfile (d, strcat (nm, ".", typ));
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93 if (strcmp (typ, "eps"))
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94 d_typ = "-depsc2";
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95 else
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96 d_typ = ["-d" typ];
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97 endif
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98
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99 a = 10*speye (n) + sparse (1:n,ceil ([1:n]/2),1,n,n) + ...
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100 sparse (ceil ([1:n]/2),1:n,1,n,n);
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101 if (strcmp (nm, "spmatrix"))
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102 spy (a);
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103 axis ("ij");
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104 print (outfile, d_typ);
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105 hide_output ();
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106 else
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107 if (__have_feature__ ("COLAMD") && __have_feature__ ("CHOLMOD"))
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108 if (strcmp (nm, "spchol"))
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109 r1 = chol (a);
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110 spy (r1);
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111 axis ("ij");
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112 print (outfile, d_typ);
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113 hide_output ();
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114 elseif (strcmp (nm, "spcholperm"))
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115 [r2,p2,q2] = chol (a);
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116 spy (r2);
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117 axis ("ij");
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118 print (outfile, d_typ);
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119 hide_output ();
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120 endif
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121 ## printf("Image NNZ: Matrix %d, Chol %d, PermChol %d\n",nnz(a),nnz(r1),nnz(r2));
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122 endif
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123 endif
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124 endfunction
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125
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126 function printsparse (a, nm)
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127 fid = fopen (nm,"wt");
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128 fputs (fid, "\n");
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129 for i = 1:rows (a)
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130 if (rem (i,5) == 0)
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131 fprintf (fid," %2d - ", i);
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132 else
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133 fprintf (fid," | ");
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134 endif
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135 for j = 1:columns (a)
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136 if (a(i,j) == 0)
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137 fprintf (fid," ");
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diff changeset
138 else
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139 fprintf (fid," *");
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140 endif
7f8e4f5e2eb7 [project @ 2006-09-26 21:09:31 by jwe]
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diff changeset
141 endfor
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142 fprintf (fid,"\n");
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143 endfor
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144 fprintf (fid," |-");
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diff changeset
145 for j = 1:columns (a)
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diff changeset
146 if (rem (j,5) == 0)
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diff changeset
147 fprintf (fid,"-|");
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148 else
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149 fprintf (fid,"--");
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150 endif
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151 endfor
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152 fprintf (fid,"\n");
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153 fprintf (fid," ");
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154 for j = 1:columns (a)
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155 if (rem (j,5) == 0)
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156 fprintf (fid,"%2d",j);
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157 else
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158 fprintf (fid," ");
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159 endif
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160 endfor
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161 fclose (fid);
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162 endfunction
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163
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164 function femimages (d, nm, typ)
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165 hide_output ();
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166 outfile = fullfile (d, strcat (nm, ".", typ));
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167 if (strcmp (typ, "eps"))
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168 d_typ = "-depsc2";
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169 else
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170 d_typ = ["-d" typ];
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171 endif
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172
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diff changeset
173 if (__have_feature__ ("COLAMD")
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174 && __have_feature__ ("CHOLMOD")
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175 && __have_feature__ ("UMFPACK"))
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176 ## build a rectangle
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177 node_y = [1;1.2;1.5;1.8;2] * ones (1,11);
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178 node_x = ones (5,1) * [1,1.05,1.1,1.2,1.3,1.5,1.7,1.8,1.9,1.95,2];
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179 nodes = [node_x(:), node_y(:)];
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180
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181 [h,w] = size (node_x);
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182 elems = [];
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183 for idx = 1 : w-1
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184 widx = (idx-1)*h;
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185 elems = [elems; widx+[(1:h-1);(2:h);h+(1:h-1)]'];
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186 elems = [elems; widx+[(2:h);h+(2:h);h+(1:h-1)]'];
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187 endfor
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188
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diff changeset
189 E = size (elems,1); # No. of elements
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190 N = size (nodes,1); # No. of elements
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191 D = size (elems,2); # dimensions+1
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192
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193 ## Plot FEM Geometry
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194 elemx = elems(:,[1,2,3,1])';
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195 xelems = reshape (nodes(elemx, 1), 4, E);
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196 yelems = reshape (nodes(elemx, 2), 4, E);
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197
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198 ## Set element conductivity
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diff changeset
199 conductivity = [1*ones(1,16), 2*ones(1,48), 1*ones(1,16)];
6003
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200
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201 ## Dirichlet boundary conditions
19627
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202 D_nodes = [1:5, 51:55];
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diff changeset
203 D_value = [10*ones(1,5), 20*ones(1,5)];
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diff changeset
204
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205 ## Neumann boundary conditions
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diff changeset
206 ## Note that N_value must be normalized by the boundary
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diff changeset
207 ## length and element conductivity
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208 N_nodes = [];
7f8e4f5e2eb7 [project @ 2006-09-26 21:09:31 by jwe]
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diff changeset
209 N_value = [];
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diff changeset
210
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diff changeset
211 ## Calculate connectivity matrix
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diff changeset
212 C = sparse ((1:D*E), reshape (elems',D*E,1),1, D*E, N);
6003
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213
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parents:
diff changeset
214 ## Calculate stiffness matrix
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diff changeset
215 Siidx = floor ([0:D*E-1]'/D)*D*ones(1,D) + ones(D*E,1)*(1:D);
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diff changeset
216 Sjidx = [1:D*E]'*ones (1,D);
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diff changeset
217 Sdata = zeros (D*E,D);
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diff changeset
218 dfact = prod (2:(D-1));
6003
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diff changeset
219 for j = 1:E
16994
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diff changeset
220 a = inv ([ ones(D,1), nodes( elems(j,:), : ) ]);
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diff changeset
221 const = conductivity(j)*2/dfact/abs (det (a));
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diff changeset
222 Sdata(D*(j-1)+(1:D),:) = const * a(2:D,:)'*a(2:D,:);
6003
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parents:
diff changeset
223 endfor
7f8e4f5e2eb7 [project @ 2006-09-26 21:09:31 by jwe]
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parents:
diff changeset
224
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225 ## Element-wise system matrix
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diff changeset
226 SE = sparse (Siidx,Sjidx,Sdata);
6003
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diff changeset
227 ## Global system matrix
7f8e4f5e2eb7 [project @ 2006-09-26 21:09:31 by jwe]
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parents:
diff changeset
228 S = C'* SE *C;
7f8e4f5e2eb7 [project @ 2006-09-26 21:09:31 by jwe]
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diff changeset
229
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diff changeset
230 ## Set Dirichlet boundary
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diff changeset
231 V = zeros (N,1);
6003
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diff changeset
232 V(D_nodes) = D_value;
7f8e4f5e2eb7 [project @ 2006-09-26 21:09:31 by jwe]
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parents:
diff changeset
233 idx = 1:N;
7f8e4f5e2eb7 [project @ 2006-09-26 21:09:31 by jwe]
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parents:
diff changeset
234 idx(D_nodes) = [];
7f8e4f5e2eb7 [project @ 2006-09-26 21:09:31 by jwe]
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diff changeset
235
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diff changeset
236 ## Set Neumann boundary
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diff changeset
237 Q = zeros (N,1);
6003
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parents:
diff changeset
238 Q(N_nodes) = N_value; # FIXME
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parents:
diff changeset
239
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diff changeset
240 V(idx) = S(idx,idx) \ ( Q(idx) - S(idx,D_nodes)*V(D_nodes) );
6003
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diff changeset
241
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diff changeset
242 velems = reshape (V(elemx), 4, E);
6178
830235f4984f [project @ 2006-11-17 00:16:57 by jwe]
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parents: 6126
diff changeset
243
830235f4984f [project @ 2006-11-17 00:16:57 by jwe]
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parents: 6126
diff changeset
244 plot3 (xelems, yelems, velems);
17887
3252b366bb5d sparseimages.m: Fix incorrect view() command for printed image.
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parents: 17744
diff changeset
245 view (80, 10);
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diff changeset
246 print (outfile, d_typ);
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diff changeset
247 hide_output ();
6003
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diff changeset
248 endif
7f8e4f5e2eb7 [project @ 2006-09-26 21:09:31 by jwe]
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parents:
diff changeset
249 endfunction
6040
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diff changeset
250
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diff changeset
251 ## There is no sparse matrix implementation available because of missing
2bcb2fa24bbf [project @ 2006-10-09 15:13:29 by jwe]
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diff changeset
252 ## libraries, plot sombreros instead. Also plot a nice title that we are
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diff changeset
253 ## sorry about that.
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diff changeset
254 function sombreroimage (d, nm, typ)
6040
2bcb2fa24bbf [project @ 2006-10-09 15:13:29 by jwe]
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diff changeset
255 if (strcmp (typ, "txt"))
20351
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diff changeset
256 fid = fopen (fullfile (d, [nm ".txt"]), "wt");
7256
be3280acbdb8 [project @ 2007-12-05 01:08:17 by jwe]
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parents: 7018
diff changeset
257 fputs (fid, "\n");
6040
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diff changeset
258 fputs (fid, "+---------------------------------------+\n");
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diff changeset
259 fputs (fid, "| Image unavailable because of a |\n");
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diff changeset
260 fputs (fid, "| missing sparse matrix implementation. |\n");
2bcb2fa24bbf [project @ 2006-10-09 15:13:29 by jwe]
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diff changeset
261 fputs (fid, "+---------------------------------------+\n");
2bcb2fa24bbf [project @ 2006-10-09 15:13:29 by jwe]
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diff changeset
262 fclose (fid);
2bcb2fa24bbf [project @ 2006-10-09 15:13:29 by jwe]
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diff changeset
263 return;
20351
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diff changeset
264 else
9912
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diff changeset
265 hide_output ();
9914
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diff changeset
266 if (strcmp (typ, "eps"))
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diff changeset
267 d_typ = "-depsc2";
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diff changeset
268 else
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diff changeset
269 d_typ = ["-d" typ];
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diff changeset
270 endif
6040
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parents: 6003
diff changeset
271
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diff changeset
272 [x, y, z] = sombrero ();
6040
2bcb2fa24bbf [project @ 2006-10-09 15:13:29 by jwe]
jwe
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273 unwind_protect
6257
44c91c5dfe1d [project @ 2007-01-30 19:16:52 by jwe]
jwe
parents: 6180
diff changeset
274 mesh (x, y, z);
11039
4cbb08163a1f Use Octave to create pdf versions of plots for documentation.
Rik <octave@nomad.inbox5.com>
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275 title ("Sorry, graphics are unavailable because Octave was\ncompiled without a sparse matrix implementation.");
6040
2bcb2fa24bbf [project @ 2006-10-09 15:13:29 by jwe]
jwe
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276 unwind_protect_cleanup
20342
c3c1fb44f9b5 eliminate recursive make invocations in doc directory tree
John W. Eaton <jwe@octave.org>
parents: 19751
diff changeset
277 print (outfile, d_typ);
9912
e9fe12c1b0c0 Set default papersize to the desired imagesize
Rik <rdrider0-list@yahoo.com>
parents: 8920
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278 hide_output ();
6040
2bcb2fa24bbf [project @ 2006-10-09 15:13:29 by jwe]
jwe
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279 end_unwind_protect
2bcb2fa24bbf [project @ 2006-10-09 15:13:29 by jwe]
jwe
parents: 6003
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280 endif
2bcb2fa24bbf [project @ 2006-10-09 15:13:29 by jwe]
jwe
parents: 6003
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281 endfunction
7262
16e61aecddc1 [project @ 2007-12-05 20:50:47 by jwe]
jwe
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282
20351
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Rik <rik@octave.org>
parents: 20342
diff changeset
283 function set_print_size ()
d8992a16643c doc: Clean up m-files which generate images for Manual.
Rik <rik@octave.org>
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284 image_size = [5.0, 3.5]; # in inches, 16:9 format
d8992a16643c doc: Clean up m-files which generate images for Manual.
Rik <rik@octave.org>
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diff changeset
285 border = 0; # For postscript use 50/72
d8992a16643c doc: Clean up m-files which generate images for Manual.
Rik <rik@octave.org>
parents: 20342
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286 set (0, "defaultfigurepapertype", "<custom>");
d8992a16643c doc: Clean up m-files which generate images for Manual.
Rik <rik@octave.org>
parents: 20342
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287 set (0, "defaultfigurepaperorientation", "landscape");
d8992a16643c doc: Clean up m-files which generate images for Manual.
Rik <rik@octave.org>
parents: 20342
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288 set (0, "defaultfigurepapersize", image_size + 2*border);
d8992a16643c doc: Clean up m-files which generate images for Manual.
Rik <rik@octave.org>
parents: 20342
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289 set (0, "defaultfigurepaperposition", [border, border, image_size]);
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Rik <rik@octave.org>
parents: 20342
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290 endfunction
d8992a16643c doc: Clean up m-files which generate images for Manual.
Rik <rik@octave.org>
parents: 20342
diff changeset
291
d8992a16643c doc: Clean up m-files which generate images for Manual.
Rik <rik@octave.org>
parents: 20342
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292 ## Use this function before plotting commands and after every call to
d8992a16643c doc: Clean up m-files which generate images for Manual.
Rik <rik@octave.org>
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293 ## print since print() resets output to stdout (unfortunately, gnpulot
d8992a16643c doc: Clean up m-files which generate images for Manual.
Rik <rik@octave.org>
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294 ## can't pop output as it can the terminal type).
d8992a16643c doc: Clean up m-files which generate images for Manual.
Rik <rik@octave.org>
parents: 20342
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295 function hide_output ()
d8992a16643c doc: Clean up m-files which generate images for Manual.
Rik <rik@octave.org>
parents: 20342
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296 hf = figure (1);
d8992a16643c doc: Clean up m-files which generate images for Manual.
Rik <rik@octave.org>
parents: 20342
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297 set (hf, "visible", "off");
d8992a16643c doc: Clean up m-files which generate images for Manual.
Rik <rik@octave.org>
parents: 20342
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298 endfunction
d8992a16643c doc: Clean up m-files which generate images for Manual.
Rik <rik@octave.org>
parents: 20342
diff changeset
299