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annotate doc/interpreter/sparseimages.m @ 11033:d9c8916bb9dd

Find changesets by keywords (author, files, the commit message), revision number or hash, or revset expression.
Untabify a few remaining .m scripts.
author Rik <octave@nomad.inbox5.com>
date Tue, 28 Sep 2010 13:24:21 -0700
parents e76d8c767584
children 4cbb08163a1f
Ignore whitespace changes - Everywhere: Within whitespace: At end of lines:
rev   line source
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eb63fbe60fab update copyright notices
John W. Eaton <jwe@octave.org>
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diff changeset
1 ## Copyright (C) 2006, 2007, 2008 David Bateman
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2 ##
fd42779a8428 [project @ 2007-10-13 00:52:12 by jwe]
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3 ## This file is part of Octave.
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4 ##
fd42779a8428 [project @ 2007-10-13 00:52:12 by jwe]
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5 ## Octave is free software; you can redistribute it and/or modify it
fd42779a8428 [project @ 2007-10-13 00:52:12 by jwe]
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6 ## under the terms of the GNU General Public License as published by
fd42779a8428 [project @ 2007-10-13 00:52:12 by jwe]
jwe
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7 ## the Free Software Foundation; either version 3 of the License, or (at
fd42779a8428 [project @ 2007-10-13 00:52:12 by jwe]
jwe
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8 ## your option) any later version.
fd42779a8428 [project @ 2007-10-13 00:52:12 by jwe]
jwe
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9 ##
fd42779a8428 [project @ 2007-10-13 00:52:12 by jwe]
jwe
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10 ## Octave is distributed in the hope that it will be useful, but
fd42779a8428 [project @ 2007-10-13 00:52:12 by jwe]
jwe
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11 ## WITHOUT ANY WARRANTY; without even the implied warranty of
fd42779a8428 [project @ 2007-10-13 00:52:12 by jwe]
jwe
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12 ## MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
fd42779a8428 [project @ 2007-10-13 00:52:12 by jwe]
jwe
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13 ## General Public License for more details.
fd42779a8428 [project @ 2007-10-13 00:52:12 by jwe]
jwe
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14 ##
fd42779a8428 [project @ 2007-10-13 00:52:12 by jwe]
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15 ## You should have received a copy of the GNU General Public License
fd42779a8428 [project @ 2007-10-13 00:52:12 by jwe]
jwe
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16 ## along with Octave; see the file COPYING. If not, see
fd42779a8428 [project @ 2007-10-13 00:52:12 by jwe]
jwe
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17 ## <http://www.gnu.org/licenses/>.
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18
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19 function sparseimages (nm, typ)
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Rik <rdrider0-list@yahoo.com>
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20 set_print_size ();
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21 if (strcmp (typ, "png"))
e8a3e3e33490 [project @ 2007-12-05 01:18:41 by jwe]
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22 set (0, "defaulttextfontname", "*");
e8a3e3e33490 [project @ 2007-12-05 01:18:41 by jwe]
jwe
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23 endif
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e76d8c767584 Switch to color output for PostScript documentation images
Rik <rdrider0-list@yahoo.com>
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24
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25 if (! isempty (findstr (octave_config_info ("DEFS"), "HAVE_COLAMD"))
2bcb2fa24bbf [project @ 2006-10-09 15:13:29 by jwe]
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26 && ! isempty (findstr (octave_config_info ("DEFS"), "HAVE_CHOLMOD"))
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27 && ! isempty (findstr (octave_config_info ("DEFS"), "HAVE_UMFPACK")))
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28 if (strcmp(typ,"txt"))
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29 txtimages (nm, 15, typ);
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30 else
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31 if (strcmp (nm, "gplot"))
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Rik <octave@nomad.inbox5.com>
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32 gplotimages ("gplot", typ);
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33 elseif (strcmp (nm, "grid"))
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Rik <octave@nomad.inbox5.com>
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34 femimages ("grid", typ);
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35 else
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Rik <octave@nomad.inbox5.com>
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36 otherimages (nm, 200, typ);
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37 endif
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38 endif
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39 else ## There is no sparse matrix implementation available because
2bcb2fa24bbf [project @ 2006-10-09 15:13:29 by jwe]
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40 ## of missing libraries, plot sombreros instead
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41 sombreroimage (nm, typ);
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42 endif
6003
7f8e4f5e2eb7 [project @ 2006-09-26 21:09:31 by jwe]
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43 endfunction
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44
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Rik <rdrider0-list@yahoo.com>
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45 function set_print_size ()
e9fe12c1b0c0 Set default papersize to the desired imagesize
Rik <rdrider0-list@yahoo.com>
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46 image_size = [5.0, 3.5]; # in inches, 16:9 format
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Rik <rdrider0-list@yahoo.com>
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47 border = 0; # For postscript use 50/72
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48 set (0, "defaultfigurepapertype", "<custom>");
e9fe12c1b0c0 Set default papersize to the desired imagesize
Rik <rdrider0-list@yahoo.com>
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49 set (0, "defaultfigurepaperorientation", "landscape");
e9fe12c1b0c0 Set default papersize to the desired imagesize
Rik <rdrider0-list@yahoo.com>
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50 set (0, "defaultfigurepapersize", image_size + 2*border);
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Rik <rdrider0-list@yahoo.com>
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51 set (0, "defaultfigurepaperposition", [border, border, image_size]);
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Rik <rdrider0-list@yahoo.com>
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52 endfunction
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Rik <rdrider0-list@yahoo.com>
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53
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Rik <rdrider0-list@yahoo.com>
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54 function hide_output ()
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55 f = figure (1);
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56 set (f, "visible", "off");
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57 endfunction
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58
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59 function gplotimages (nm, typ)
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Rik <rdrider0-list@yahoo.com>
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60 hide_output ();
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61 if (strcmp (typ, "eps"))
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Rik <rdrider0-list@yahoo.com>
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62 d_typ = "-depsc2";
e76d8c767584 Switch to color output for PostScript documentation images
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63 else
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64 d_typ = cstrcat ("-d", typ);
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65 endif
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66
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67 A = sparse ([2,6,1,3,2,4,3,5,4,6,1,5],
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68 [1,1,2,2,3,3,4,4,5,5,6,6], 1, 6, 6);
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69 xy = [0,4,8,6,4,2;5,0,5,7,5,7]';
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70 gplot (A, xy)
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71 print (cstrcat (nm, ".", typ), d_typ)
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72 hide_output ();
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73 endfunction
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74
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75 function txtimages(nm,n,typ)
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76 a = 10*speye(n) + sparse(1:n,ceil([1:n]/2),1,n,n) + ...
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77 sparse(ceil([1:n]/2),1:n,1,n,n);
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78 if (strcmp (nm, "gplot") || strcmp (nm, "grid"))
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79 fid = fopen (sprintf ("%s.txt", nm), "wt");
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80 fputs (fid, "\n");
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81 fputs (fid, "+---------------------------------+\n");
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82 fputs (fid, "| Image unavailable in text mode. |\n");
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83 fputs (fid, "+---------------------------------+\n");
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84 fclose (fid);
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85 elseif (strcmp (nm, "spmatrix"))
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3422f39573b1 strcat.m: Matlab compatibility, with cstrcat.m replacing conventional strcat.m.
Ben Abbott <bpabbott@mac.com>
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86 printsparse(a,cstrcat("spmatrix.",typ));
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87 else
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88 if (!isempty(findstr(octave_config_info ("DEFS"),"HAVE_COLAMD")) &&
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89 !isempty(findstr(octave_config_info ("DEFS"),"HAVE_CHOLMOD")))
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90 if (strcmp (nm, "spchol"))
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Rik <octave@nomad.inbox5.com>
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91 r1 = chol(a);
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92 printsparse(r1,cstrcat("spchol.",typ));
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93 elseif (strcmp (nm, "spcholperm"))
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94 [r2,p2,q2]=chol(a);
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95 printsparse(r2,cstrcat("spcholperm.",typ));
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96 endif
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97 ## printf("Text NNZ: Matrix %d, Chol %d, PermChol %d\n",nnz(a),nnz(r1),nnz(r2));
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98 endif
7f8e4f5e2eb7 [project @ 2006-09-26 21:09:31 by jwe]
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99 endif
7f8e4f5e2eb7 [project @ 2006-09-26 21:09:31 by jwe]
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100 endfunction
7f8e4f5e2eb7 [project @ 2006-09-26 21:09:31 by jwe]
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101
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102 function otherimages(nm,n,typ)
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Rik <rdrider0-list@yahoo.com>
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103 hide_output ();
9914
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Rik <rdrider0-list@yahoo.com>
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104 if (strcmp (typ, "eps"))
e76d8c767584 Switch to color output for PostScript documentation images
Rik <rdrider0-list@yahoo.com>
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105 d_typ = "-depsc2";
e76d8c767584 Switch to color output for PostScript documentation images
Rik <rdrider0-list@yahoo.com>
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106 else
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Rik <rdrider0-list@yahoo.com>
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107 d_typ = cstrcat ("-d", typ);
e76d8c767584 Switch to color output for PostScript documentation images
Rik <rdrider0-list@yahoo.com>
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108 endif
e76d8c767584 Switch to color output for PostScript documentation images
Rik <rdrider0-list@yahoo.com>
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109
6003
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110 a = 10*speye(n) + sparse(1:n,ceil([1:n]/2),1,n,n) + ...
7f8e4f5e2eb7 [project @ 2006-09-26 21:09:31 by jwe]
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111 sparse(ceil([1:n]/2),1:n,1,n,n);
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112 if (strcmp (nm, "spmatrix"))
7f8e4f5e2eb7 [project @ 2006-09-26 21:09:31 by jwe]
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113 spy(a);
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114 axis("ij")
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Rik <rdrider0-list@yahoo.com>
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115 print(cstrcat("spmatrix.",typ), d_typ)
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Rik <rdrider0-list@yahoo.com>
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116 hide_output ();
6003
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117 else
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118 if (!isempty(findstr(octave_config_info ("DEFS"),"HAVE_COLAMD")) &&
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Rik <octave@nomad.inbox5.com>
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119 !isempty(findstr(octave_config_info ("DEFS"),"HAVE_CHOLMOD")))
6003
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120 if (strcmp (nm, "spchol"))
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Rik <octave@nomad.inbox5.com>
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121 r1 = chol(a);
d9c8916bb9dd Untabify a few remaining .m scripts.
Rik <octave@nomad.inbox5.com>
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diff changeset
122 spy(r1);
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Rik <octave@nomad.inbox5.com>
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123 axis("ij")
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Rik <octave@nomad.inbox5.com>
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124 print(cstrcat("spchol.",typ), d_typ)
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Rik <octave@nomad.inbox5.com>
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125 hide_output ();
6003
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126 elseif (strcmp (nm, "spcholperm"))
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Rik <octave@nomad.inbox5.com>
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127 [r2,p2,q2]=chol(a);
d9c8916bb9dd Untabify a few remaining .m scripts.
Rik <octave@nomad.inbox5.com>
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diff changeset
128 spy(r2);
d9c8916bb9dd Untabify a few remaining .m scripts.
Rik <octave@nomad.inbox5.com>
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diff changeset
129 axis("ij")
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Rik <octave@nomad.inbox5.com>
parents: 9914
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130 print(cstrcat("spcholperm.",typ), d_typ)
d9c8916bb9dd Untabify a few remaining .m scripts.
Rik <octave@nomad.inbox5.com>
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diff changeset
131 hide_output ();
6003
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132 endif
7f8e4f5e2eb7 [project @ 2006-09-26 21:09:31 by jwe]
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133 ## printf("Image NNZ: Matrix %d, Chol %d, PermChol %d\n",nnz(a),nnz(r1),nnz(r2));
7f8e4f5e2eb7 [project @ 2006-09-26 21:09:31 by jwe]
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134 endif
7f8e4f5e2eb7 [project @ 2006-09-26 21:09:31 by jwe]
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135 endif
7f8e4f5e2eb7 [project @ 2006-09-26 21:09:31 by jwe]
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parents:
diff changeset
136 endfunction
7f8e4f5e2eb7 [project @ 2006-09-26 21:09:31 by jwe]
jwe
parents:
diff changeset
137
7f8e4f5e2eb7 [project @ 2006-09-26 21:09:31 by jwe]
jwe
parents:
diff changeset
138 function printsparse(a,nm)
7f8e4f5e2eb7 [project @ 2006-09-26 21:09:31 by jwe]
jwe
parents:
diff changeset
139 fid = fopen (nm,"wt");
7256
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jwe
parents: 7018
diff changeset
140 fputs (fid, "\n");
6003
7f8e4f5e2eb7 [project @ 2006-09-26 21:09:31 by jwe]
jwe
parents:
diff changeset
141 for i = 1:size(a,1)
7f8e4f5e2eb7 [project @ 2006-09-26 21:09:31 by jwe]
jwe
parents:
diff changeset
142 if (rem(i,5) == 0)
7f8e4f5e2eb7 [project @ 2006-09-26 21:09:31 by jwe]
jwe
parents:
diff changeset
143 fprintf (fid," %2d - ", i);
7f8e4f5e2eb7 [project @ 2006-09-26 21:09:31 by jwe]
jwe
parents:
diff changeset
144 else
7f8e4f5e2eb7 [project @ 2006-09-26 21:09:31 by jwe]
jwe
parents:
diff changeset
145 fprintf (fid," | ");
7f8e4f5e2eb7 [project @ 2006-09-26 21:09:31 by jwe]
jwe
parents:
diff changeset
146 endif
7f8e4f5e2eb7 [project @ 2006-09-26 21:09:31 by jwe]
jwe
parents:
diff changeset
147 for j = 1:size(a,2)
7f8e4f5e2eb7 [project @ 2006-09-26 21:09:31 by jwe]
jwe
parents:
diff changeset
148 if (a(i,j) == 0)
11033
d9c8916bb9dd Untabify a few remaining .m scripts.
Rik <octave@nomad.inbox5.com>
parents: 9914
diff changeset
149 fprintf(fid," ")
6003
7f8e4f5e2eb7 [project @ 2006-09-26 21:09:31 by jwe]
jwe
parents:
diff changeset
150 else
11033
d9c8916bb9dd Untabify a few remaining .m scripts.
Rik <octave@nomad.inbox5.com>
parents: 9914
diff changeset
151 fprintf(fid," *")
6003
7f8e4f5e2eb7 [project @ 2006-09-26 21:09:31 by jwe]
jwe
parents:
diff changeset
152 endif
7f8e4f5e2eb7 [project @ 2006-09-26 21:09:31 by jwe]
jwe
parents:
diff changeset
153 endfor
7f8e4f5e2eb7 [project @ 2006-09-26 21:09:31 by jwe]
jwe
parents:
diff changeset
154 fprintf(fid,"\n")
7f8e4f5e2eb7 [project @ 2006-09-26 21:09:31 by jwe]
jwe
parents:
diff changeset
155 endfor
7f8e4f5e2eb7 [project @ 2006-09-26 21:09:31 by jwe]
jwe
parents:
diff changeset
156 fprintf(fid," |-");
7f8e4f5e2eb7 [project @ 2006-09-26 21:09:31 by jwe]
jwe
parents:
diff changeset
157 for j=1:size(a,2)
7f8e4f5e2eb7 [project @ 2006-09-26 21:09:31 by jwe]
jwe
parents:
diff changeset
158 if (rem(j,5)==0)
7f8e4f5e2eb7 [project @ 2006-09-26 21:09:31 by jwe]
jwe
parents:
diff changeset
159 fprintf(fid,"-|");
7f8e4f5e2eb7 [project @ 2006-09-26 21:09:31 by jwe]
jwe
parents:
diff changeset
160 else
7f8e4f5e2eb7 [project @ 2006-09-26 21:09:31 by jwe]
jwe
parents:
diff changeset
161 fprintf(fid,"--");
7f8e4f5e2eb7 [project @ 2006-09-26 21:09:31 by jwe]
jwe
parents:
diff changeset
162 endif
7f8e4f5e2eb7 [project @ 2006-09-26 21:09:31 by jwe]
jwe
parents:
diff changeset
163 endfor
7f8e4f5e2eb7 [project @ 2006-09-26 21:09:31 by jwe]
jwe
parents:
diff changeset
164 fprintf(fid,"\n")
7f8e4f5e2eb7 [project @ 2006-09-26 21:09:31 by jwe]
jwe
parents:
diff changeset
165 fprintf(fid," ");
7f8e4f5e2eb7 [project @ 2006-09-26 21:09:31 by jwe]
jwe
parents:
diff changeset
166 for j=1:size(a,2)
7f8e4f5e2eb7 [project @ 2006-09-26 21:09:31 by jwe]
jwe
parents:
diff changeset
167 if (rem(j,5)==0)
7f8e4f5e2eb7 [project @ 2006-09-26 21:09:31 by jwe]
jwe
parents:
diff changeset
168 fprintf(fid,"%2d",j);
7f8e4f5e2eb7 [project @ 2006-09-26 21:09:31 by jwe]
jwe
parents:
diff changeset
169 else
7f8e4f5e2eb7 [project @ 2006-09-26 21:09:31 by jwe]
jwe
parents:
diff changeset
170 fprintf(fid," ");
7f8e4f5e2eb7 [project @ 2006-09-26 21:09:31 by jwe]
jwe
parents:
diff changeset
171 endif
7f8e4f5e2eb7 [project @ 2006-09-26 21:09:31 by jwe]
jwe
parents:
diff changeset
172 endfor
7f8e4f5e2eb7 [project @ 2006-09-26 21:09:31 by jwe]
jwe
parents:
diff changeset
173 fclose(fid);
7f8e4f5e2eb7 [project @ 2006-09-26 21:09:31 by jwe]
jwe
parents:
diff changeset
174 endfunction
7f8e4f5e2eb7 [project @ 2006-09-26 21:09:31 by jwe]
jwe
parents:
diff changeset
175
7f8e4f5e2eb7 [project @ 2006-09-26 21:09:31 by jwe]
jwe
parents:
diff changeset
176 function femimages (nm,typ)
9912
e9fe12c1b0c0 Set default papersize to the desired imagesize
Rik <rdrider0-list@yahoo.com>
parents: 8920
diff changeset
177 hide_output ();
9914
e76d8c767584 Switch to color output for PostScript documentation images
Rik <rdrider0-list@yahoo.com>
parents: 9912
diff changeset
178 if (strcmp (typ, "eps"))
e76d8c767584 Switch to color output for PostScript documentation images
Rik <rdrider0-list@yahoo.com>
parents: 9912
diff changeset
179 d_typ = "-depsc2";
e76d8c767584 Switch to color output for PostScript documentation images
Rik <rdrider0-list@yahoo.com>
parents: 9912
diff changeset
180 else
e76d8c767584 Switch to color output for PostScript documentation images
Rik <rdrider0-list@yahoo.com>
parents: 9912
diff changeset
181 d_typ = cstrcat ("-d", typ);
e76d8c767584 Switch to color output for PostScript documentation images
Rik <rdrider0-list@yahoo.com>
parents: 9912
diff changeset
182 endif
e76d8c767584 Switch to color output for PostScript documentation images
Rik <rdrider0-list@yahoo.com>
parents: 9912
diff changeset
183
6003
7f8e4f5e2eb7 [project @ 2006-09-26 21:09:31 by jwe]
jwe
parents:
diff changeset
184 if (!isempty(findstr(octave_config_info ("DEFS"),"HAVE_COLAMD")) &&
7f8e4f5e2eb7 [project @ 2006-09-26 21:09:31 by jwe]
jwe
parents:
diff changeset
185 !isempty(findstr(octave_config_info ("DEFS"),"HAVE_CHOLMOD")) &&
7f8e4f5e2eb7 [project @ 2006-09-26 21:09:31 by jwe]
jwe
parents:
diff changeset
186 !isempty(findstr(octave_config_info ("DEFS"),"HAVE_UMFPACK")))
7f8e4f5e2eb7 [project @ 2006-09-26 21:09:31 by jwe]
jwe
parents:
diff changeset
187 ## build a rectangle
7f8e4f5e2eb7 [project @ 2006-09-26 21:09:31 by jwe]
jwe
parents:
diff changeset
188 node_y = [1;1.2;1.5;1.8;2]*ones(1,11);
7f8e4f5e2eb7 [project @ 2006-09-26 21:09:31 by jwe]
jwe
parents:
diff changeset
189 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];
7f8e4f5e2eb7 [project @ 2006-09-26 21:09:31 by jwe]
jwe
parents:
diff changeset
190 nodes = [node_x(:), node_y(:)];
7f8e4f5e2eb7 [project @ 2006-09-26 21:09:31 by jwe]
jwe
parents:
diff changeset
191
7f8e4f5e2eb7 [project @ 2006-09-26 21:09:31 by jwe]
jwe
parents:
diff changeset
192 [h,w] = size(node_x);
7f8e4f5e2eb7 [project @ 2006-09-26 21:09:31 by jwe]
jwe
parents:
diff changeset
193 elems = [];
7f8e4f5e2eb7 [project @ 2006-09-26 21:09:31 by jwe]
jwe
parents:
diff changeset
194 for idx = 1:w-1
7f8e4f5e2eb7 [project @ 2006-09-26 21:09:31 by jwe]
jwe
parents:
diff changeset
195 widx = (idx-1)*h;
7f8e4f5e2eb7 [project @ 2006-09-26 21:09:31 by jwe]
jwe
parents:
diff changeset
196 elems = [elems; widx+[(1:h-1);(2:h);h+(1:h-1)]'];
7f8e4f5e2eb7 [project @ 2006-09-26 21:09:31 by jwe]
jwe
parents:
diff changeset
197 elems = [elems; widx+[(2:h);h+(2:h);h+(1:h-1)]'];
7f8e4f5e2eb7 [project @ 2006-09-26 21:09:31 by jwe]
jwe
parents:
diff changeset
198 endfor
7f8e4f5e2eb7 [project @ 2006-09-26 21:09:31 by jwe]
jwe
parents:
diff changeset
199
7f8e4f5e2eb7 [project @ 2006-09-26 21:09:31 by jwe]
jwe
parents:
diff changeset
200 E = size(elems,1); #No. of elements
7f8e4f5e2eb7 [project @ 2006-09-26 21:09:31 by jwe]
jwe
parents:
diff changeset
201 N = size(nodes,1); #No. of elements
7f8e4f5e2eb7 [project @ 2006-09-26 21:09:31 by jwe]
jwe
parents:
diff changeset
202 D = size(elems,2); #dimentions+1
7f8e4f5e2eb7 [project @ 2006-09-26 21:09:31 by jwe]
jwe
parents:
diff changeset
203
7f8e4f5e2eb7 [project @ 2006-09-26 21:09:31 by jwe]
jwe
parents:
diff changeset
204 ## Plot FEM Geometry
7f8e4f5e2eb7 [project @ 2006-09-26 21:09:31 by jwe]
jwe
parents:
diff changeset
205 elemx = elems(:,[1,2,3,1])';
7f8e4f5e2eb7 [project @ 2006-09-26 21:09:31 by jwe]
jwe
parents:
diff changeset
206 xelems = reshape( nodes(elemx, 1), 4, E);
7f8e4f5e2eb7 [project @ 2006-09-26 21:09:31 by jwe]
jwe
parents:
diff changeset
207 yelems = reshape( nodes(elemx, 2), 4, E);
7f8e4f5e2eb7 [project @ 2006-09-26 21:09:31 by jwe]
jwe
parents:
diff changeset
208
7f8e4f5e2eb7 [project @ 2006-09-26 21:09:31 by jwe]
jwe
parents:
diff changeset
209 ## Set element conductivity
7f8e4f5e2eb7 [project @ 2006-09-26 21:09:31 by jwe]
jwe
parents:
diff changeset
210 conductivity = [1*ones(1,16),2*ones(1,48),1*ones(1,16)];
7f8e4f5e2eb7 [project @ 2006-09-26 21:09:31 by jwe]
jwe
parents:
diff changeset
211
7f8e4f5e2eb7 [project @ 2006-09-26 21:09:31 by jwe]
jwe
parents:
diff changeset
212 ## Dirichlet boundary conditions
7f8e4f5e2eb7 [project @ 2006-09-26 21:09:31 by jwe]
jwe
parents:
diff changeset
213 D_nodes = [1:5, 51:55];
7f8e4f5e2eb7 [project @ 2006-09-26 21:09:31 by jwe]
jwe
parents:
diff changeset
214 D_value = [10*ones(1,5), 20*ones(1,5)];
7f8e4f5e2eb7 [project @ 2006-09-26 21:09:31 by jwe]
jwe
parents:
diff changeset
215
7f8e4f5e2eb7 [project @ 2006-09-26 21:09:31 by jwe]
jwe
parents:
diff changeset
216 ## Neumann boundary conditions
7f8e4f5e2eb7 [project @ 2006-09-26 21:09:31 by jwe]
jwe
parents:
diff changeset
217 ## Note that N_value must be normalized by the boundary
7f8e4f5e2eb7 [project @ 2006-09-26 21:09:31 by jwe]
jwe
parents:
diff changeset
218 ## length and element conductivity
7f8e4f5e2eb7 [project @ 2006-09-26 21:09:31 by jwe]
jwe
parents:
diff changeset
219 N_nodes = [];
7f8e4f5e2eb7 [project @ 2006-09-26 21:09:31 by jwe]
jwe
parents:
diff changeset
220 N_value = [];
7f8e4f5e2eb7 [project @ 2006-09-26 21:09:31 by jwe]
jwe
parents:
diff changeset
221
7f8e4f5e2eb7 [project @ 2006-09-26 21:09:31 by jwe]
jwe
parents:
diff changeset
222 ## Calculate connectivity matrix
7f8e4f5e2eb7 [project @ 2006-09-26 21:09:31 by jwe]
jwe
parents:
diff changeset
223 C = sparse((1:D*E), reshape(elems',D*E,1),1, D*E, N);
7f8e4f5e2eb7 [project @ 2006-09-26 21:09:31 by jwe]
jwe
parents:
diff changeset
224
7f8e4f5e2eb7 [project @ 2006-09-26 21:09:31 by jwe]
jwe
parents:
diff changeset
225 ## Calculate stiffness matrix
7f8e4f5e2eb7 [project @ 2006-09-26 21:09:31 by jwe]
jwe
parents:
diff changeset
226 Siidx = floor([0:D*E-1]'/D)*D*ones(1,D) + ones(D*E,1)*(1:D) ;
7f8e4f5e2eb7 [project @ 2006-09-26 21:09:31 by jwe]
jwe
parents:
diff changeset
227 Sjidx = [1:D*E]'*ones(1,D);
7f8e4f5e2eb7 [project @ 2006-09-26 21:09:31 by jwe]
jwe
parents:
diff changeset
228 Sdata = zeros(D*E,D);
7f8e4f5e2eb7 [project @ 2006-09-26 21:09:31 by jwe]
jwe
parents:
diff changeset
229 dfact = prod(2:(D-1));
7f8e4f5e2eb7 [project @ 2006-09-26 21:09:31 by jwe]
jwe
parents:
diff changeset
230 for j = 1:E
7f8e4f5e2eb7 [project @ 2006-09-26 21:09:31 by jwe]
jwe
parents:
diff changeset
231 a = inv([ ones(D,1), nodes( elems(j,:), : ) ]);
7f8e4f5e2eb7 [project @ 2006-09-26 21:09:31 by jwe]
jwe
parents:
diff changeset
232 const = conductivity(j)*2/dfact/abs(det(a));
7f8e4f5e2eb7 [project @ 2006-09-26 21:09:31 by jwe]
jwe
parents:
diff changeset
233 Sdata(D*(j-1)+(1:D),:)= const * a(2:D,:)'*a(2:D,:);
7f8e4f5e2eb7 [project @ 2006-09-26 21:09:31 by jwe]
jwe
parents:
diff changeset
234 endfor
7f8e4f5e2eb7 [project @ 2006-09-26 21:09:31 by jwe]
jwe
parents:
diff changeset
235
7f8e4f5e2eb7 [project @ 2006-09-26 21:09:31 by jwe]
jwe
parents:
diff changeset
236 ## Element-wise system matrix
7f8e4f5e2eb7 [project @ 2006-09-26 21:09:31 by jwe]
jwe
parents:
diff changeset
237 SE = sparse(Siidx,Sjidx,Sdata);
7f8e4f5e2eb7 [project @ 2006-09-26 21:09:31 by jwe]
jwe
parents:
diff changeset
238 ## Global system matrix
7f8e4f5e2eb7 [project @ 2006-09-26 21:09:31 by jwe]
jwe
parents:
diff changeset
239 S = C'* SE *C;
7f8e4f5e2eb7 [project @ 2006-09-26 21:09:31 by jwe]
jwe
parents:
diff changeset
240
7f8e4f5e2eb7 [project @ 2006-09-26 21:09:31 by jwe]
jwe
parents:
diff changeset
241 ## Set Dirichlet boundary
7f8e4f5e2eb7 [project @ 2006-09-26 21:09:31 by jwe]
jwe
parents:
diff changeset
242 V = zeros(N,1);
7f8e4f5e2eb7 [project @ 2006-09-26 21:09:31 by jwe]
jwe
parents:
diff changeset
243 V(D_nodes) = D_value;
7f8e4f5e2eb7 [project @ 2006-09-26 21:09:31 by jwe]
jwe
parents:
diff changeset
244 idx = 1:N;
7f8e4f5e2eb7 [project @ 2006-09-26 21:09:31 by jwe]
jwe
parents:
diff changeset
245 idx(D_nodes) = [];
7f8e4f5e2eb7 [project @ 2006-09-26 21:09:31 by jwe]
jwe
parents:
diff changeset
246
7f8e4f5e2eb7 [project @ 2006-09-26 21:09:31 by jwe]
jwe
parents:
diff changeset
247 ## Set Neumann boundary
7f8e4f5e2eb7 [project @ 2006-09-26 21:09:31 by jwe]
jwe
parents:
diff changeset
248 Q = zeros(N,1);
7f8e4f5e2eb7 [project @ 2006-09-26 21:09:31 by jwe]
jwe
parents:
diff changeset
249 Q(N_nodes) = N_value; # FIXME
7f8e4f5e2eb7 [project @ 2006-09-26 21:09:31 by jwe]
jwe
parents:
diff changeset
250
7f8e4f5e2eb7 [project @ 2006-09-26 21:09:31 by jwe]
jwe
parents:
diff changeset
251 V(idx) = S(idx,idx)\( Q(idx) - S(idx,D_nodes)*V(D_nodes) );
7f8e4f5e2eb7 [project @ 2006-09-26 21:09:31 by jwe]
jwe
parents:
diff changeset
252
7f8e4f5e2eb7 [project @ 2006-09-26 21:09:31 by jwe]
jwe
parents:
diff changeset
253 velems = reshape( V(elemx), 4, E);
7f8e4f5e2eb7 [project @ 2006-09-26 21:09:31 by jwe]
jwe
parents:
diff changeset
254
7f8e4f5e2eb7 [project @ 2006-09-26 21:09:31 by jwe]
jwe
parents:
diff changeset
255 sz = size(xelems,2);
6178
830235f4984f [project @ 2006-11-17 00:16:57 by jwe]
jwe
parents: 6126
diff changeset
256
830235f4984f [project @ 2006-11-17 00:16:57 by jwe]
jwe
parents: 6126
diff changeset
257 plot3 (xelems, yelems, velems);
6257
44c91c5dfe1d [project @ 2007-01-30 19:16:52 by jwe]
jwe
parents: 6180
diff changeset
258 view (10, 10);
9914
e76d8c767584 Switch to color output for PostScript documentation images
Rik <rdrider0-list@yahoo.com>
parents: 9912
diff changeset
259 print(cstrcat(nm,".",typ), d_typ)
9912
e9fe12c1b0c0 Set default papersize to the desired imagesize
Rik <rdrider0-list@yahoo.com>
parents: 8920
diff changeset
260 hide_output ();
6003
7f8e4f5e2eb7 [project @ 2006-09-26 21:09:31 by jwe]
jwe
parents:
diff changeset
261 endif
7f8e4f5e2eb7 [project @ 2006-09-26 21:09:31 by jwe]
jwe
parents:
diff changeset
262 endfunction
6040
2bcb2fa24bbf [project @ 2006-10-09 15:13:29 by jwe]
jwe
parents: 6003
diff changeset
263
2bcb2fa24bbf [project @ 2006-10-09 15:13:29 by jwe]
jwe
parents: 6003
diff changeset
264 ## There is no sparse matrix implementation available because of missing
2bcb2fa24bbf [project @ 2006-10-09 15:13:29 by jwe]
jwe
parents: 6003
diff changeset
265 ## libraries, plot sombreros instead. Also plot a nice title that we are
2bcb2fa24bbf [project @ 2006-10-09 15:13:29 by jwe]
jwe
parents: 6003
diff changeset
266 ## sorry about that.
2bcb2fa24bbf [project @ 2006-10-09 15:13:29 by jwe]
jwe
parents: 6003
diff changeset
267 function sombreroimage (nm, typ)
2bcb2fa24bbf [project @ 2006-10-09 15:13:29 by jwe]
jwe
parents: 6003
diff changeset
268 if (strcmp (typ, "txt"))
2bcb2fa24bbf [project @ 2006-10-09 15:13:29 by jwe]
jwe
parents: 6003
diff changeset
269 fid = fopen (sprintf ("%s.txt", nm), "wt");
7256
be3280acbdb8 [project @ 2007-12-05 01:08:17 by jwe]
jwe
parents: 7018
diff changeset
270 fputs (fid, "\n");
6040
2bcb2fa24bbf [project @ 2006-10-09 15:13:29 by jwe]
jwe
parents: 6003
diff changeset
271 fputs (fid, "+---------------------------------------+\n");
2bcb2fa24bbf [project @ 2006-10-09 15:13:29 by jwe]
jwe
parents: 6003
diff changeset
272 fputs (fid, "| Image unavailable because of a |\n");
2bcb2fa24bbf [project @ 2006-10-09 15:13:29 by jwe]
jwe
parents: 6003
diff changeset
273 fputs (fid, "| missing sparse matrix implementation. |\n");
2bcb2fa24bbf [project @ 2006-10-09 15:13:29 by jwe]
jwe
parents: 6003
diff changeset
274 fputs (fid, "+---------------------------------------+\n");
2bcb2fa24bbf [project @ 2006-10-09 15:13:29 by jwe]
jwe
parents: 6003
diff changeset
275 fclose (fid);
2bcb2fa24bbf [project @ 2006-10-09 15:13:29 by jwe]
jwe
parents: 6003
diff changeset
276 return;
2bcb2fa24bbf [project @ 2006-10-09 15:13:29 by jwe]
jwe
parents: 6003
diff changeset
277 else ## if (!strcmp (typ, "txt"))
2bcb2fa24bbf [project @ 2006-10-09 15:13:29 by jwe]
jwe
parents: 6003
diff changeset
278
9912
e9fe12c1b0c0 Set default papersize to the desired imagesize
Rik <rdrider0-list@yahoo.com>
parents: 8920
diff changeset
279 hide_output ();
9914
e76d8c767584 Switch to color output for PostScript documentation images
Rik <rdrider0-list@yahoo.com>
parents: 9912
diff changeset
280 if (strcmp (typ, "eps"))
e76d8c767584 Switch to color output for PostScript documentation images
Rik <rdrider0-list@yahoo.com>
parents: 9912
diff changeset
281 d_typ = "-depsc2";
e76d8c767584 Switch to color output for PostScript documentation images
Rik <rdrider0-list@yahoo.com>
parents: 9912
diff changeset
282 else
e76d8c767584 Switch to color output for PostScript documentation images
Rik <rdrider0-list@yahoo.com>
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diff changeset
283 d_typ = cstrcat ("-d", typ);
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284 endif
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285
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286 x = y = linspace (-8, 8, 41)';
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287 [xx, yy] = meshgrid (x, y);
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288 r = sqrt (xx .^ 2 + yy .^ 2) + eps;
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289 z = sin (r) ./ r;
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290 unwind_protect
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291 mesh (x, y, z);
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292 title ("Sorry, graphics not available because octave was\\ncompiled without the sparse matrix implementation.");
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293 unwind_protect_cleanup
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294 print (cstrcat (nm, ".", typ), d_typ);
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295 hide_output ();
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296 end_unwind_protect
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297 endif
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298 endfunction
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299
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300 ## generate something for the texinfo @image command to process
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301 function image_as_txt(nm)
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302 fid = fopen (sprintf ("%s.txt", nm), "wt");
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303 fputs (fid, "\n");
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304 fputs (fid, "+---------------------------------+\n");
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305 fputs (fid, "| Image unavailable in text mode. |\n");
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306 fputs (fid, "+---------------------------------+\n");
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307 fclose (fid);
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308 endfunction