Mercurial > hg > octave-lyh
annotate scripts/plot/slice.m @ 17194:c954b0a396a2
comet.m: Speed up animation by using low-level graphic commands.
* scripts/plot/comet.m: Speed up animation by using low-level graphic
commands.
| author | Rik <rik@octave.org> |
|---|---|
| date | Mon, 05 Aug 2013 15:44:02 -0700 |
| parents | 26589abbc78d |
| children | 87ba70043bfc |
| rev | line source |
|---|---|
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1 ## Copyright (C) 2007-2012 Kai Habel, David Bateman |
| 7183 | 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 ## -*- texinfo -*- | |
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20 ## @deftypefn {Function File} {} slice (@var{x}, @var{y}, @var{z}, @var{v}, @var{sx}, @var{sy}, @var{sz}) |
| 7184 | 21 ## @deftypefnx {Function File} {} slice (@var{x}, @var{y}, @var{z}, @var{v}, @var{xi}, @var{yi}, @var{zi}) |
| 22 ## @deftypefnx {Function File} {} slice (@var{v}, @var{sx}, @var{sy}, @var{sz}) | |
| 23 ## @deftypefnx {Function File} {} slice (@var{v}, @var{xi}, @var{yi}, @var{zi}) | |
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24 ## @deftypefnx {Function File} {} slice (@dots{}, @var{method}) |
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25 ## @deftypefnx {Function File} {} slice (@var{hax}, @dots{}) |
| 7184 | 26 ## @deftypefnx {Function File} {@var{h} =} slice (@dots{}) |
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27 ## Plot slices of 3-D data/scalar fields. |
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28 ## |
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29 ## Each element of the 3-dimensional array @var{v} represents a scalar value at |
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30 ## a location given by the parameters @var{x}, @var{y}, and @var{z}. The |
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31 ## parameters @var{x}, @var{x}, and @var{z} are either 3-dimensional arrays of |
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32 ## the same size as the array @var{v} in the "meshgrid" format or vectors. The |
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33 ## parameters @var{xi}, etc. respect a similar format to @var{x}, etc., and |
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34 ## they represent the points at which the array @var{vi} is interpolated using |
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35 ## interp3. The vectors @var{sx}, @var{sy}, and @var{sz} contain points of |
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36 ## orthogonal slices of the respective axes. |
| 7183 | 37 ## |
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38 ## If @var{x}, @var{y}, @var{z} are omitted, they are assumed to be |
| 7184 | 39 ## @code{x = 1:size (@var{v}, 2)}, @code{y = 1:size (@var{v}, 1)} and |
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40 ## @code{z = 1:size (@var{v}, 3)}. |
| 7183 | 41 ## |
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42 ## @var{method} is one of: |
| 7183 | 43 ## |
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44 ## @table @asis |
| 7184 | 45 ## @item "nearest" |
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46 ## Return the nearest neighbor. |
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47 ## |
| 7184 | 48 ## @item "linear" |
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49 ## Linear interpolation from nearest neighbors. |
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50 ## |
| 7184 | 51 ## @item "cubic" |
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52 ## Cubic interpolation from four nearest neighbors (not implemented yet). |
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53 ## |
| 7184 | 54 ## @item "spline" |
| 55 ## Cubic spline interpolation---smooth first and second derivatives | |
| 7183 | 56 ## throughout the curve. |
| 57 ## @end table | |
| 58 ## | |
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59 ## The default method is "linear". |
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60 ## |
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61 ## If the first argument @var{hax} is an axes handle, then plot into this axis, |
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62 ## rather than the current axes returned by @code{gca}. |
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63 ## |
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64 ## The optional return value @var{h} is a graphics handle to the created |
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65 ## surface object. |
| 7183 | 66 ## |
| 67 ## Examples: | |
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68 ## |
| 7183 | 69 ## @example |
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70 ## @group |
| 7184 | 71 ## [x, y, z] = meshgrid (linspace (-8, 8, 32)); |
| 72 ## v = sin (sqrt (x.^2 + y.^2 + z.^2)) ./ (sqrt (x.^2 + y.^2 + z.^2)); | |
| 73 ## slice (x, y, z, v, [], 0, []); | |
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74 ## |
| 7184 | 75 ## [xi, yi] = meshgrid (linspace (-7, 7)); |
| 76 ## zi = xi + yi; | |
| 77 ## slice (x, y, z, v, xi, yi, zi); | |
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78 ## @end group |
| 7183 | 79 ## @end example |
| 80 ## @seealso{interp3, surface, pcolor} | |
| 81 ## @end deftypefn | |
| 82 | |
| 7184 | 83 ## Author: Kai Habel <kai.habel@gmx.de> |
| 7183 | 84 |
| 7184 | 85 function h = slice (varargin) |
| 7183 | 86 |
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87 [hax, varargin, nargs] = __plt_get_axis_arg__ ("slice", varargin{:}); |
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88 |
| 7183 | 89 method = "linear"; |
| 90 | |
| 91 if (ischar (varargin{end})) | |
| 92 method = varargin{end}; | |
| 93 nargs -= 1; | |
| 94 endif | |
| 95 | |
| 96 if (nargs == 4) | |
| 7184 | 97 v = varargin{1}; |
| 98 if (ndims (v) != 3) | |
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99 error ("slice: V must be a 3-dimensional array of values"); |
| 7183 | 100 endif |
| 7184 | 101 [nx, ny, nz] = size (v); |
| 102 [x, y, z] = meshgrid (1:nx, 1:ny, 1:nz); | |
| 7183 | 103 sx = varargin{2}; |
| 104 sy = varargin{3}; | |
| 105 sz = varargin{4}; | |
| 106 elseif (nargs == 7) | |
| 7184 | 107 v = varargin{4}; |
| 108 if (ndims (v) != 3) | |
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109 error ("slice: V must be a 3-dimensional array of values"); |
| 7183 | 110 endif |
| 7184 | 111 x = varargin{1}; |
| 112 y = varargin{2}; | |
| 113 z = varargin{3}; | |
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114 if (isvector (x) && isvector (y) && isvector (z)) |
| 7184 | 115 [x, y, z] = meshgrid (x, y, z); |
| 7292 | 116 elseif (ndims (x) == 3 && size_equal (x, y, z)) |
| 7184 | 117 ## Do nothing. |
| 7183 | 118 else |
| 8664 | 119 error ("slice: X, Y, Z size mismatch"); |
| 7183 | 120 endif |
| 121 sx = varargin{5}; | |
| 122 sy = varargin{6}; | |
| 123 sz = varargin{7}; | |
| 124 else | |
| 7184 | 125 print_usage (); |
| 7183 | 126 endif |
| 127 | |
| 7184 | 128 if (any ([isvector(sx), isvector(sy), isvector(sz)])) |
| 129 have_sval = true; | |
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130 elseif (ndims (sx) == 2 && size_equal (sx, sy, sz)) |
| 7184 | 131 have_sval = false; |
| 7183 | 132 else |
| 7184 | 133 error ("slice: dimensional mismatch for (XI, YI, ZI) or (SX, SY, SZ)"); |
| 7183 | 134 endif |
| 135 | |
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136 oldfig = ifelse (isempty (hax), [], get (0, "currentfigure")); |
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137 unwind_protect |
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138 hax = newplot (hax); |
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139 |
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140 sidx = 1; |
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141 minv = min (v(:)); |
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142 maxv = max (v(:)); |
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143 set (hax, "clim", [minv, maxv]); |
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144 |
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145 if (have_sval) |
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146 ns = length (sx) + length (sy) + length (sz); |
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147 hs = zeros (ns,1); |
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148 [ny, nx, nz] = size (v); |
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149 if (length (sz) > 0) |
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150 for i = 1:length (sz) |
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151 [xi, yi, zi] = meshgrid (squeeze (x(1,:,1)), |
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152 squeeze (y(:,1,1)), sz(i)); |
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153 vz = squeeze (interp3 (x, y, z, v, xi, yi, zi, method)); |
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154 htmp(sidx++) = surface (xi, yi, sz(i) * ones (size (yi)), vz); |
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155 endfor |
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156 endif |
| 7183 | 157 |
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158 if (length (sy) > 0) |
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159 for i = length (sy):-1:1 |
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160 [xi, yi, zi] = meshgrid (squeeze (x(1,:,1)), sy(i), squeeze (z(1,1,:))); |
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161 vy = squeeze (interp3 (x, y, z, v, xi, yi, zi, method)); |
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162 htmp(sidx++) = surface (squeeze (xi), |
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163 squeeze (sy(i) * ones (size (zi))), |
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164 squeeze (zi), vy); |
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165 endfor |
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166 endif |
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167 |
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168 if (length (sx) > 0) |
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169 for i = length (sx):-1:1 |
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170 [xi, yi, zi] = meshgrid (sx(i), squeeze (y(:,1,1)), squeeze (z(1,1,:))); |
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171 vx = squeeze (interp3 (x, y, z, v, xi, yi, zi, method)); |
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172 htmp(sidx++) = surface (squeeze (sx(i) * ones (size (zi))), |
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173 squeeze (yi), squeeze(zi), vx); |
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174 endfor |
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175 endif |
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176 else |
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177 vi = interp3 (x, y, z, v, sx, sy, sz); |
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178 htmp = surface (sx, sy, sz, vi); |
| 7183 | 179 endif |
| 180 | |
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181 if (! ishold ()) |
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182 set (hax, "view", [-37.5, 30.0], "box", "off", |
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183 "xgrid", "on", "ygrid", "on", "zgrid", "on"); |
| 7183 | 184 endif |
| 185 | |
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186 unwind_protect_cleanup |
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187 if (! isempty (oldfig)) |
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188 set (0, "currentfigure", oldfig); |
| 7183 | 189 endif |
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190 end_unwind_protect |
| 7183 | 191 |
| 192 if (nargout > 0) | |
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193 h = htmp; |
| 7183 | 194 endif |
| 195 | |
| 7184 | 196 endfunction |
| 7245 | 197 |
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198 |
| 7245 | 199 %!demo |
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200 %! clf; |
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201 %! colormap ('default'); |
| 7245 | 202 %! [x, y, z] = meshgrid (linspace (-8, 8, 32)); |
| 203 %! v = sin (sqrt (x.^2 + y.^2 + z.^2)) ./ (sqrt (x.^2 + y.^2 + z.^2)); | |
| 204 %! slice (x, y, z, v, [], 0, []); | |
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205 |
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206 %!demo |
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207 %! clf; |
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208 %! colormap ('default'); |
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209 %! [x, y, z] = meshgrid (linspace (-8, 8, 32)); |
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210 %! v = sin (sqrt (x.^2 + y.^2 + z.^2)) ./ (sqrt (x.^2 + y.^2 + z.^2)); |
| 7245 | 211 %! [xi, yi] = meshgrid (linspace (-7, 7)); |
| 212 %! zi = xi + yi; | |
| 213 %! slice (x, y, z, v, xi, yi, zi); | |
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214 |