Mercurial > octave-libtiff
view doc/interpreter/sparseimages.m @ 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> |
---|---|
date | Tue, 28 Dec 2021 18:22:40 -0500 |
parents | 0a5b15007766 |
children |
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######################################################################## ## ## Copyright (C) 2006-2022 The Octave Project Developers ## ## See the file COPYRIGHT.md in the top-level directory of this ## distribution or <https://octave.org/copyright/>. ## ## This file is part of Octave. ## ## Octave is free software: you can redistribute it and/or modify it ## under the terms of the GNU General Public License as published by ## the Free Software Foundation, either version 3 of the License, or ## (at your option) any later version. ## ## Octave is distributed in the hope that it will be useful, but ## WITHOUT ANY WARRANTY; without even the implied warranty of ## MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the ## GNU General Public License for more details. ## ## You should have received a copy of the GNU General Public License ## along with Octave; see the file COPYING. If not, see ## <https://www.gnu.org/licenses/>. ## ######################################################################## function sparseimages (d, nm, typ) if (strcmp (typ, "txt")) txtimages (d, nm, 15, typ); return; endif set_graphics_toolkit (); set_print_size (); hide_output (); outfile = fullfile (d, [nm "." typ]); if (strcmp (typ, "png")) set (groot, "defaulttextfontname", "*"); endif if (strcmp (typ, "eps")) d_typ = "-depsc2"; else d_typ = ["-d" typ]; endif if (! (__have_feature__ ("COLAMD") && __have_feature__ ("CHOLMOD") && __have_feature__ ("UMFPACK"))) ## There is no sparse matrix implementation available because ## of missing libraries, plot sombreros instead. sombreroimage (outfile, typ, d_typ); elseif (strcmp (nm, "gplot")) A = sparse ([2,6,1,3,2,4,3,5,4,6,1,5], [1,1,2,2,3,3,4,4,5,5,6,6], 1, 6, 6); xy = [0,4,8,6,4,2;5,0,5,7,5,7]'; gplot (A, xy); print (outfile, d_typ); elseif (strcmp (nm, "grid")) femimages (outfile, d_typ); elseif (strcmp (nm, "spmatrix")) n = 200; a = 10*speye (n) + sparse (1:n,ceil ([1:n]/2),1,n,n) + ... sparse (ceil ([1:n]/2),1:n,1,n,n); spy (a); axis ("ij"); print (outfile, d_typ); elseif (strcmp (nm, "spchol")) n = 200; a = 10*speye (n) + sparse (1:n,ceil ([1:n]/2),1,n,n) + ... sparse (ceil ([1:n]/2),1:n,1,n,n); r1 = chol (a); spy (r1); axis ("ij"); print (outfile, d_typ); elseif (strcmp (nm, "spcholperm")) n = 200; a = 10*speye (n) + sparse (1:n,ceil ([1:n]/2),1,n,n) + ... sparse (ceil ([1:n]/2),1:n,1,n,n); [r2,p2,q2] = chol (a); spy (r2); axis ("ij"); print (outfile, d_typ); else error ("unrecognized plot requested"); endif hide_output (); endfunction function txtimages (d, nm, n, typ) outfile = fullfile (d, [nm "." typ]); a = 10*speye (n) + sparse (1:n,ceil([1:n]/2),1,n,n) + ... sparse (ceil ([1:n]/2),1:n,1,n,n); if (strcmp (nm, "gplot") || strcmp (nm, "grid")) fid = fopen (outfile, "wt"); fputs (fid, "\n"); fputs (fid, "+---------------------------------+\n"); fputs (fid, "| Image unavailable in text mode. |\n"); fputs (fid, "+---------------------------------+\n"); fclose (fid); elseif (strcmp (nm, "spmatrix")) printsparse (a, outfile); elseif (strcmp (nm, "spchol")) r1 = chol (a); printsparse (r1, outfile); elseif (strcmp (nm, "spcholperm")) [r2,p2,q2] = chol (a); printsparse (r2, outfile); else error ("unrecognized plot requested"); endif endfunction function printsparse (a, nm) fid = fopen (nm, "wt"); fputs (fid, "\n"); for i = 1:rows (a) if (rem (i,5) == 0) fprintf (fid, " %2d - ", i); else fprintf (fid, " | "); endif for j = 1:columns (a) if (a(i,j) == 0) fprintf (fid, " "); else fprintf (fid, " *"); endif endfor fprintf (fid, "\n"); endfor fprintf (fid, " |-"); for j = 1:columns (a) if (rem (j,5) == 0) fprintf (fid, "-|"); else fprintf (fid, "--"); endif endfor fprintf (fid, "\n"); fprintf (fid, " "); for j = 1:columns (a) if (rem (j,5) == 0) fprintf (fid, "%2d", j); else fprintf (fid, " "); endif endfor fclose (fid); endfunction function femimages (outfile, d_typ) ## build a rectangle node_y = [1;1.2;1.5;1.8;2] * ones (1,11); 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]; nodes = [node_x(:), node_y(:)]; [h,w] = size (node_x); elems = []; for idx = 1 : w-1 widx = (idx-1)*h; elems = [elems; widx+[(1:h-1);(2:h);h+(1:h-1)]']; elems = [elems; widx+[(2:h);h+(2:h);h+(1:h-1)]']; endfor E = size (elems,1); # No. of elements N = size (nodes,1); # No. of elements D = size (elems,2); # dimensions+1 ## Plot FEM Geometry elemx = elems(:,[1,2,3,1])'; xelems = reshape (nodes(elemx, 1), 4, E); yelems = reshape (nodes(elemx, 2), 4, E); ## Set element conductivity conductivity = [1*ones(1,16), 2*ones(1,48), 1*ones(1,16)]; ## Dirichlet boundary conditions D_nodes = [1:5, 51:55]; D_value = [10*ones(1,5), 20*ones(1,5)]; ## Neumann boundary conditions ## Note that N_value must be normalized by the boundary ## length and element conductivity N_nodes = []; N_value = []; ## Calculate connectivity matrix C = sparse ((1:D*E), reshape (elems',D*E,1),1, D*E, N); ## Calculate stiffness matrix Siidx = floor ([0:D*E-1]'/D)*D*ones(1,D) + ones(D*E,1)*(1:D); Sjidx = [1:D*E]'*ones (1,D); Sdata = zeros (D*E,D); dfact = prod (2:(D-1)); for j = 1:E a = inv ([ ones(D,1), nodes( elems(j,:), : ) ]); const = conductivity(j)*2/dfact/abs (det (a)); Sdata(D*(j-1)+(1:D),:) = const * a(2:D,:)'*a(2:D,:); endfor ## Element-wise system matrix SE = sparse (Siidx,Sjidx,Sdata); ## Global system matrix S = C'* SE *C; ## Set Dirichlet boundary V = zeros (N,1); V(D_nodes) = D_value; idx = 1:N; idx(D_nodes) = []; ## Set Neumann boundary Q = zeros (N,1); Q(N_nodes) = N_value; # FIXME V(idx) = S(idx,idx) \ ( Q(idx) - S(idx,D_nodes)*V(D_nodes) ); velems = reshape (V(elemx), 4, E); plot3 (xelems, yelems, velems); view (80, 10); print (outfile, d_typ); endfunction ## There is no sparse matrix implementation available because of missing ## libraries, plot sombreros instead. Also plot a nice title that we are ## sorry about that. function sombreroimage (outfile, typ, d_typ) if (strcmp (typ, "txt")) fid = fopen (outfile, "wt"); fputs (fid, "+--------------------------------+\n"); fputs (fid, "| Image unavailable because of a |\n"); fputs (fid, "| missing SuiteSparse library. |\n"); fputs (fid, "+--------------------------------+\n"); fclose (fid); return; else [x, y, z] = sombrero (); unwind_protect mesh (x, y, z); title ({"Sorry, graphics are unavailable because Octave was", "compiled without the SuiteSparse library."}); unwind_protect_cleanup print (outfile, d_typ); hide_output (); end_unwind_protect endif endfunction ## This function no longer sets the graphics toolkit; That is now done ## automatically by C++ code which will ordinarily choose 'qt', but might ## choose gnuplot on older systems. Only a complete lack of plotting is a ## problem. function set_graphics_toolkit () if (isempty (available_graphics_toolkits ())) error ("no graphics toolkit available for plotting"); elseif (strcmp ("qt", graphics_toolkit ()) && __have_feature__ ("QT_OFFSCREEN")) ## Use qt with QOffscreenSurface for plot elseif (! strcmp ("gnuplot", graphics_toolkit ())) if (! any (strcmp ("gnuplot", available_graphics_toolkits ()))) error ("no graphics toolkit available for offscreen plotting"); else graphics_toolkit ("gnuplot"); endif endif endfunction function set_print_size () image_size = [5.0, 3.5]; # in inches, 16:9 format border = 0; # For postscript use 50/72 set (groot, "defaultfigurepapertype", "<custom>"); set (groot, "defaultfigurepaperorientation", "landscape"); set (groot, "defaultfigurepapersize", image_size + 2*border); set (groot, "defaultfigurepaperposition", [border, border, image_size]); endfunction ## Use this function before plotting commands and after every call to print ## since print() resets output to stdout (unfortunately, gnuplot can't pop ## output as it can the terminal type). function hide_output () hf = figure (1, "visible", "off"); endfunction