Mercurial > octave-nkf
comparison scripts/plot/draw/private/__interp_cube__.m @ 17572:7bb76a22cde1
maint: Split scripts/plot directory into 4 pieces.
scripts/gui : user-interface functions
scripts/plot/appearance : functions controlling plot appearance
scripts/plot/draw : plotting functions which produce graphs
scripts/plot/util : low-level plotting functions and utilities.
* scripts/gui/guidata.m, scripts/gui/guihandles.m, scripts/gui/module.mk,
scripts/gui/private/__file_filter__.m,
scripts/gui/private/__fltk_file_filter__.m,
scripts/gui/private/__is_function__.m, scripts/gui/private/__uigetdir_fltk__.m,
scripts/gui/private/__uigetfile_fltk__.m,
scripts/gui/private/__uiobject_split_args__.m,
scripts/gui/private/__uiputfile_fltk__.m, scripts/gui/uicontextmenu.m,
scripts/gui/uicontrol.m, scripts/gui/uigetdir.m, scripts/gui/uigetfile.m,
scripts/gui/uimenu.m, scripts/gui/uipanel.m, scripts/gui/uipushtool.m,
scripts/gui/uiputfile.m, scripts/gui/uiresume.m, scripts/gui/uitoggletool.m,
scripts/gui/uitoolbar.m, scripts/gui/uiwait.m, scripts/gui/waitbar.m,
scripts/gui/waitforbuttonpress.m: Moved from scripts/plot to scripts/gui
* scripts/plot/appearance/__clabel__.m,
scripts/plot/appearance/__getlegenddata__.m, scripts/plot/appearance/axis.m,
scripts/plot/appearance/box.m, scripts/plot/appearance/caxis.m,
scripts/plot/appearance/clabel.m, scripts/plot/appearance/daspect.m,
scripts/plot/appearance/diffuse.m, scripts/plot/appearance/grid.m,
scripts/plot/appearance/gtext.m, scripts/plot/appearance/hidden.m,
scripts/plot/appearance/legend.m,
scripts/plot/appearance/orient.m, scripts/plot/appearance/pbaspect.m,
scripts/plot/appearance/private/__axis_label__.m,
scripts/plot/appearance/private/__axis_limits__.m,
scripts/plot/appearance/shading.m, scripts/plot/appearance/specular.m,
scripts/plot/appearance/text.m, scripts/plot/appearance/title.m,
scripts/plot/appearance/view.m, scripts/plot/appearance/whitebg.m,
scripts/plot/appearance/xlabel.m, scripts/plot/appearance/xlim.m,
scripts/plot/appearance/ylabel.m, scripts/plot/appearance/ylim.m,
scripts/plot/appearance/zlabel.m, scripts/plot/appearance/zlim.m:
Moved from scripts/plot to subdir appearance.
* scripts/plot/draw/area.m, scripts/plot/draw/bar.m, scripts/plot/draw/barh.m,
scripts/plot/draw/colorbar.m, scripts/plot/draw/comet.m,
scripts/plot/draw/comet3.m, scripts/plot/draw/compass.m,
scripts/plot/draw/contour.m, scripts/plot/draw/contour3.m,
scripts/plot/draw/contourc.m, scripts/plot/draw/contourf.m,
scripts/plot/draw/cylinder.m, scripts/plot/draw/ellipsoid.m,
scripts/plot/draw/errorbar.m, scripts/plot/draw/ezcontour.m,
scripts/plot/draw/ezcontourf.m, scripts/plot/draw/ezmesh.m,
scripts/plot/draw/ezmeshc.m, scripts/plot/draw/ezplot.m,
scripts/plot/draw/ezplot3.m, scripts/plot/draw/ezpolar.m,
scripts/plot/draw/ezsurf.m, scripts/plot/draw/ezsurfc.m,
scripts/plot/draw/feather.m, scripts/plot/draw/fill.m,
scripts/plot/draw/fplot.m, scripts/plot/draw/hist.m,
scripts/plot/draw/isocolors.m, scripts/plot/draw/isonormals.m,
scripts/plot/draw/isosurface.m, scripts/plot/draw/line.m,
scripts/plot/draw/loglog.m, scripts/plot/draw/loglogerr.m,
scripts/plot/draw/mesh.m, scripts/plot/draw/meshc.m, scripts/plot/draw/meshz.m,
scripts/plot/draw/pareto.m,
scripts/plot/draw/patch.m, scripts/plot/draw/pcolor.m,
scripts/plot/draw/peaks.m, scripts/plot/draw/pie.m, scripts/plot/draw/pie3.m,
scripts/plot/draw/plot.m, scripts/plot/draw/plot3.m,
scripts/plot/draw/plotmatrix.m, scripts/plot/draw/plotyy.m,
scripts/plot/draw/polar.m, scripts/plot/draw/private/__add_datasource__.m,
scripts/plot/draw/private/__bar__.m, scripts/plot/draw/private/__contour__.m,
scripts/plot/draw/private/__errcomm__.m,
scripts/plot/draw/private/__errplot__.m,
scripts/plot/draw/private/__ezplot__.m,
scripts/plot/draw/private/__interp_cube__.m,
scripts/plot/draw/private/__line__.m,
scripts/plot/draw/private/__marching_cube__.m,
scripts/plot/draw/private/__patch__.m, scripts/plot/draw/private/__pie__.m,
scripts/plot/draw/private/__plt__.m, scripts/plot/draw/private/__quiver__.m,
scripts/plot/draw/private/__scatter__.m, scripts/plot/draw/private/__stem__.m,
scripts/plot/draw/quiver.m, scripts/plot/draw/quiver3.m,
scripts/plot/draw/rectangle.m, scripts/plot/draw/ribbon.m,
scripts/plot/draw/rose.m, scripts/plot/draw/scatter.m,
scripts/plot/draw/scatter3.m, scripts/plot/draw/semilogx.m,
scripts/plot/draw/semilogxerr.m, scripts/plot/draw/semilogy.m,
scripts/plot/draw/semilogyerr.m, scripts/plot/draw/shrinkfaces.m,
scripts/plot/draw/slice.m, scripts/plot/draw/sombrero.m,
scripts/plot/draw/sphere.m, scripts/plot/draw/stairs.m,
scripts/plot/draw/stem.m, scripts/plot/draw/stem3.m,
scripts/plot/draw/stemleaf.m, scripts/plot/draw/surf.m,
scripts/plot/draw/surface.m, scripts/plot/draw/surfc.m,
scripts/plot/draw/surfl.m, scripts/plot/draw/surfnorm.m,
scripts/plot/draw/tetramesh.m, scripts/plot/draw/trimesh.m,
scripts/plot/draw/triplot.m, scripts/plot/draw/trisurf.m,
scripts/plot/draw/waterfall.m: Moved from plot/ to subdir draw.
* scripts/plot/util/__actual_axis_position__.m,
scripts/plot/util/__default_plot_options__.m,
scripts/plot/util/__gnuplot_drawnow__.m,
scripts/plot/util/__next_line_color__.m,
scripts/plot/util/__next_line_style__.m,
scripts/plot/util/__plt_get_axis_arg__.m, scripts/plot/util/__pltopt__.m,
scripts/plot/util/allchild.m, scripts/plot/util/ancestor.m,
scripts/plot/util/axes.m, scripts/plot/util/cla.m, scripts/plot/util/clf.m,
scripts/plot/util/close.m, scripts/plot/util/closereq.m,
scripts/plot/util/colstyle.m, scripts/plot/util/copyobj.m,
scripts/plot/util/figure.m, scripts/plot/util/findall.m,
scripts/plot/util/findfigs.m, scripts/plot/util/findobj.m,
scripts/plot/util/gca.m, scripts/plot/util/gcbf.m, scripts/plot/util/gcbo.m,
scripts/plot/util/gcf.m, scripts/plot/util/gco.m, scripts/plot/util/ginput.m,
scripts/plot/util/gnuplot_binary.in, scripts/plot/util/graphics_toolkit.m,
scripts/plot/util/hdl2struct.m, scripts/plot/util/hggroup.m,
scripts/plot/util/hold.m, scripts/plot/util/isaxes.m,
scripts/plot/util/isfigure.m, scripts/plot/util/ishghandle.m,
scripts/plot/util/ishold.m, scripts/plot/util/isprop.m,
scripts/plot/util/linkprop.m, scripts/plot/util/meshgrid.m,
scripts/plot/util/ndgrid.m,
scripts/plot/util/newplot.m, scripts/plot/util/print.m,
scripts/plot/util/printd.m, scripts/plot/util/private/__add_default_menu__.m,
scripts/plot/util/private/__fltk_ginput__.m,
scripts/plot/util/private/__fltk_print__.m,
scripts/plot/util/private/__ghostscript__.m,
scripts/plot/util/private/__gnuplot_get_var__.m,
scripts/plot/util/private/__gnuplot_ginput__.m,
scripts/plot/util/private/__gnuplot_has_feature__.m,
scripts/plot/util/private/__gnuplot_has_terminal__.m,
scripts/plot/util/private/__gnuplot_open_stream__.m,
scripts/plot/util/private/__gnuplot_print__.m,
scripts/plot/util/private/__gnuplot_version__.m,
scripts/plot/util/private/__go_draw_axes__.m,
scripts/plot/util/private/__go_draw_figure__.m,
scripts/plot/util/private/__print_parse_opts__.m,
scripts/plot/util/private/__tight_eps_bbox__.m, scripts/plot/util/refresh.m,
scripts/plot/util/refreshdata.m, scripts/plot/util/saveas.m,
scripts/plot/util/shg.m, scripts/plot/util/struct2hdl.m,
scripts/plot/util/subplot.m: Moved from plot to subdir util.
* etc/HACKING: Updated directory structure info.
* scripts/Makefile.am, scripts/plot/appearance/module.mk,
scripts/plot/draw/module.mk, scripts/plot/util/module.mk:
Added new directories to build system.
| author | Rik <rik@octave.org> |
|---|---|
| date | Fri, 04 Oct 2013 17:09:08 -0700 |
| parents | scripts/plot/private/__interp_cube__.m@1c89599167a6 |
| children | d63878346099 |
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| 17571:6e4ea5c8a4bb | 17572:7bb76a22cde1 |
|---|---|
| 1 ## Copyright (C) 2009-2012 Martin Helm | |
| 2 ## | |
| 3 ## This file is part of Octave. | |
| 4 ## | |
| 5 ## Octave is free software; you can redistribute it and/or modify it | |
| 6 ## under the terms of the GNU General Public License as published by | |
| 7 ## the Free Software Foundation; either version 3 of the License, or (at | |
| 8 ## your option) any later version. | |
| 9 ## | |
| 10 ## Octave is distributed in the hope that it will be useful, but | |
| 11 ## WITHOUT ANY WARRANTY; without even the implied warranty of | |
| 12 ## MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU | |
| 13 ## General Public License for more details. | |
| 14 ## | |
| 15 ## You should have received a copy of the GNU General Public License | |
| 16 ## along with Octave; see the file COPYING. If not, see | |
| 17 ## <http://www.gnu.org/licenses/>. | |
| 18 ## | |
| 19 ## Author: Martin Helm <martin@mhelm.de> | |
| 20 | |
| 21 ## -*- texinfo -*- | |
| 22 ## @deftypefn {Function File} {[@var{vxyz}, @var{idx}, @var{frac}] =} __interp_cube__ (@var{x}, @var{y}, @var{z}, @var{val}, @var{v}) | |
| 23 ## Undocumented internal function. | |
| 24 ## @end deftypefn | |
| 25 | |
| 26 function [Vxyz, idx, frac] = __interp_cube__ (x, y, z, val, v, req = "values" ) | |
| 27 if (ismatrix (x) && ndims (x) == 3 && ismatrix (y) && ndims (y) == 3 | |
| 28 && ismatrix (z) && ndims (z) == 3 && size_equal (x, y, z, val)) | |
| 29 x = squeeze (x(1,:,1))(:); | |
| 30 y = squeeze (y(:,1,1))(:); | |
| 31 z = squeeze (z(1,1,:))(:); | |
| 32 elseif (isvector (x) && isvector (y) && isvector (z)) | |
| 33 x = x(:); | |
| 34 y = y(:); | |
| 35 z = z(:); | |
| 36 else | |
| 37 error ("__interp_cube__: X, Y, Z have wrong dimensions"); | |
| 38 endif | |
| 39 if (size (val) != [length(x), length(y), length(z)]) | |
| 40 error ("__interp_cube__: VAL has wrong dimensions"); | |
| 41 endif | |
| 42 if (columns (v) != 3) | |
| 43 error ( "V has to be Nx3 matrix"); | |
| 44 endif | |
| 45 ##if (!ischar (req)) | |
| 46 ## error ('__interp_cube__: Invalid request parameter use "values", "normals" or "normals8"'); | |
| 47 ##endif | |
| 48 if (isempty (v)) | |
| 49 Vxyz = idx = frac = []; | |
| 50 return; | |
| 51 endif | |
| 52 | |
| 53 switch (req) | |
| 54 case "normals" | |
| 55 [idx, frac] = cube_idx (x, y, z, v); | |
| 56 | |
| 57 dx = x(2:end) - x(1:end-1); | |
| 58 dy = y(2:end) - y(1:end-1); | |
| 59 dz = z(2:end) - z(1:end-1); | |
| 60 dx = 0.5 .* [dx;dx(end)](idx(:,2)); | |
| 61 dy = 0.5 .* [dy;dy(end)](idx(:,1)); | |
| 62 dz = 0.5 .* [dz;dz(end)](idx(:,3)); | |
| 63 | |
| 64 p000 = [v(:, 1) - dx, v(:, 2) - dy, v(:, 3) - dz]; | |
| 65 p100 = [v(:, 1) + dx, v(:, 2) - dy, v(:, 3) - dz]; | |
| 66 p010 = [v(:, 1) - dx, v(:, 2) + dy, v(:, 3) - dz]; | |
| 67 p001 = [v(:, 1) - dx, v(:, 2) - dy, v(:, 3) + dz]; | |
| 68 p011 = [v(:, 1) - dx, v(:, 2) + dy, v(:, 3) + dz]; | |
| 69 p101 = [v(:, 1) + dx, v(:, 2) - dy, v(:, 3) + dz]; | |
| 70 p110 = [v(:, 1) + dx, v(:, 2) + dy, v(:, 3) - dz]; | |
| 71 p111 = [v(:, 1) + dx, v(:, 2) + dy, v(:, 3) + dz]; | |
| 72 | |
| 73 v000 = interp_cube_trilin (x, y, z, val, p000); | |
| 74 v100 = interp_cube_trilin (x, y, z, val, p100); | |
| 75 v010 = interp_cube_trilin (x, y, z, val, p010); | |
| 76 v001 = interp_cube_trilin (x, y, z, val, p001); | |
| 77 v011 = interp_cube_trilin (x, y, z, val, p011); | |
| 78 v101 = interp_cube_trilin (x, y, z, val, p101); | |
| 79 v110 = interp_cube_trilin (x, y, z, val, p110); | |
| 80 v111 = interp_cube_trilin (x, y, z, val, p111); | |
| 81 | |
| 82 Dx = -v000 .+ v100 .- v010 .- v001 .- v011 .+ v101 .+ v110 .+ v111; | |
| 83 Dy = -v000 .- v100 .+ v010 .- v001 .+ v011 .- v101 .+ v110 .+ v111; | |
| 84 Dz = -v000 .- v100 .- v010 .+ v001 .+ v011 .+ v101 .- v110 .+ v111; | |
| 85 Vxyz = 0.5 .* [Dx./dx, Dy./dy, Dz./dz]; | |
| 86 case "normals8" | |
| 87 [idx, frac] = cube_idx (x, y, z, v); | |
| 88 | |
| 89 dx = x(2:end) - x(1:end-1); | |
| 90 dy = y(2:end) - y(1:end-1); | |
| 91 dz = z(2:end) - z(1:end-1); | |
| 92 dx = [dx;dx(end)](idx(:,2)); | |
| 93 dy = [dy;dy(end)](idx(:,1)); | |
| 94 dz = [dz;dz(end)](idx(:,3)); | |
| 95 [Dx, Dy, Dz, idx, frac] = interp_cube_trilin_grad (x, y, z, val, v); | |
| 96 Vxyz = [Dx./dx, Dy./dy, Dz./dz]; | |
| 97 case "values" | |
| 98 [Vxyz, idx, frac] = interp_cube_trilin (x, y, z, val, v); | |
| 99 otherwise | |
| 100 error ('__interp_cube__: Invalid request type "%s", use "values", "normals" or "normals8"', req); | |
| 101 endswitch | |
| 102 endfunction | |
| 103 | |
| 104 function [Vxyz, idx, frac] = interp_cube_trilin (x, y, z, val, v) | |
| 105 [idx, frac] = cube_idx (x(:), y(:), z(:), v); | |
| 106 sval = size (val); | |
| 107 i000 = sub2ind (sval, idx(:, 1), idx(:, 2), idx(:, 3)); | |
| 108 i100 = sub2ind (sval, idx(:, 1)+1, idx(:, 2), idx(:, 3)); | |
| 109 i010 = sub2ind (sval, idx(:, 1), idx(:, 2)+1, idx(:, 3)); | |
| 110 i001 = sub2ind (sval, idx(:, 1), idx(:, 2), idx(:, 3)+1); | |
| 111 i101 = sub2ind (sval, idx(:, 1)+1, idx(:, 2), idx(:, 3)+1); | |
| 112 i011 = sub2ind (sval, idx(:, 1), idx(:, 2)+1, idx(:, 3)+1); | |
| 113 i110 = sub2ind (sval, idx(:, 1)+1, idx(:, 2)+1, idx(:, 3)); | |
| 114 i111 = sub2ind (sval, idx(:, 1)+1, idx(:, 2)+1, idx(:, 3)+1 ); | |
| 115 Bx = frac(:, 1); | |
| 116 By = frac(:, 2); | |
| 117 Bz = frac(:, 3); | |
| 118 Vxyz = ... | |
| 119 val( i000 ) .* (1 .- Bx) .* (1 .- By) .* (1 .- Bz) .+ ... | |
| 120 val( i100 ) .* Bx .* (1 .- By) .* (1 .- Bz) .+ ... | |
| 121 val( i010 ) .* (1 .- Bx) .* By .* (1 .- Bz) .+ ... | |
| 122 val( i001 ) .* (1 .- Bx) .* (1 .- By) .* Bz .+ ... | |
| 123 val( i011 ) .* (1 .- Bx) .* By .* Bz .+ ... | |
| 124 val( i101 ) .* Bx .* (1 .- By) .* Bz .+ ... | |
| 125 val( i110 ) .* Bx .* By .* (1 .- Bz) .+ ... | |
| 126 val( i111 ) .* Bx .* By .* Bz; | |
| 127 endfunction | |
| 128 | |
| 129 function [Dx, Dy, Dz, idx, frac] = interp_cube_trilin_grad (x, y, z, val, v) | |
| 130 [idx, frac] = cube_idx (x(:), y(:), z(:), v); | |
| 131 sval = size (val); | |
| 132 i000 = sub2ind (sval, idx(:, 1), idx(:, 2), idx(:, 3)); | |
| 133 i100 = sub2ind (sval, idx(:, 1)+1, idx(:, 2), idx(:, 3)); | |
| 134 i010 = sub2ind (sval, idx(:, 1), idx(:, 2)+1, idx(:, 3)); | |
| 135 i001 = sub2ind (sval, idx(:, 1), idx(:, 2), idx(:, 3)+1); | |
| 136 i101 = sub2ind (sval, idx(:, 1)+1, idx(:, 2), idx(:, 3)+1); | |
| 137 i011 = sub2ind (sval, idx(:, 1), idx(:, 2)+1, idx(:, 3)+1); | |
| 138 i110 = sub2ind (sval, idx(:, 1)+1, idx(:, 2)+1, idx(:, 3)); | |
| 139 i111 = sub2ind (sval, idx(:, 1)+1, idx(:, 2)+1, idx(:, 3)+1 ); | |
| 140 Bx = frac(:, 1); | |
| 141 By = frac(:, 2); | |
| 142 Bz = frac(:, 3); | |
| 143 Dx = ... | |
| 144 val( i000 ) .* -1 .* (1 .- By) .* (1 .- Bz) .+ ... | |
| 145 val( i100 ) .* (1 .- By) .* (1 .- Bz) .+ ... | |
| 146 val( i010 ) .* -1 .* By .* (1 .- Bz) .+ ... | |
| 147 val( i001 ) .* -1 .* (1 .- By) .* Bz .+ ... | |
| 148 val( i011 ) .* -1 .* By .* Bz .+ ... | |
| 149 val( i101 ) .* (1 .- By) .* Bz .+ ... | |
| 150 val( i110 ) .* By .* (1 .- Bz) .+ ... | |
| 151 val( i111 ) .* By .* Bz; | |
| 152 Dy = ... | |
| 153 val( i000 ) .* (1 .- Bx) .* -1 .* (1 .- Bz) .+ ... | |
| 154 val( i100 ) .* Bx .* -1 .* (1 .- Bz) .+ ... | |
| 155 val( i010 ) .* (1 .- Bx) .* (1 .- Bz) .+ ... | |
| 156 val( i001 ) .* (1 .- Bx) .* -1 .* Bz .+ ... | |
| 157 val( i011 ) .* (1 .- Bx) .* Bz .+ ... | |
| 158 val( i101 ) .* Bx .* -1 .* Bz .+ ... | |
| 159 val( i110 ) .* Bx .* (1 .- Bz) .+ ... | |
| 160 val( i111 ) .* Bx .* Bz; | |
| 161 Dz = ... | |
| 162 val( i000 ) .* (1 .- Bx) .* (1 .- By) .* -1 .+ ... | |
| 163 val( i100 ) .* Bx .* (1 .- By) .* -1 .+ ... | |
| 164 val( i010 ) .* (1 .- Bx) .* By .* -1 .+ ... | |
| 165 val( i001 ) .* (1 .- Bx) .* (1 .- By) .+ ... | |
| 166 val( i011 ) .* (1 .- Bx) .* By + ... | |
| 167 val( i101 ) .* Bx .* (1 .- By) .+ ... | |
| 168 val( i110 ) .* Bx .* By .* -1 .+ ... | |
| 169 val( i111 ) .* Bx .* By; | |
| 170 endfunction | |
| 171 | |
| 172 function [idx, frac] = cube_idx (x, y, z, v) | |
| 173 idx = zeros (size (v)); | |
| 174 frac = zeros (size (v)); | |
| 175 idx(:, 2) = lookup (x(2:end-1), v(:, 1)) + 1; | |
| 176 frac(:, 2) = (v(:, 1) - x(idx(:, 2)) )... | |
| 177 ./ (x(idx(:, 2)+1) - x(idx(:, 2))); | |
| 178 idx(:, 1) = lookup (y(2:end-1), v(:, 2)) + 1; | |
| 179 frac(:, 1) = (v(:, 2) - y(idx(:, 1))) ... | |
| 180 ./ (y(idx(:, 1)+1) - y(idx(:, 1))); | |
| 181 idx(:, 3) = lookup (z(2:end-1), v(:, 3)) + 1; | |
| 182 frac(:, 3) = (v(:, 3) - z(idx(:, 3))) ... | |
| 183 ./ (z(idx(:, 3)+1) - z(idx(:, 3))); | |
| 184 endfunction | |
| 185 |