annotate scripts/plot/slice.m @ 10549:95c3e38098bf

Untabify .m scripts
author Rik <code@nomad.inbox5.com>
date Fri, 23 Apr 2010 11:28:50 -0700
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1 ## Copyright (C) 2007, 2009 Kai Habel, 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 ## -*- texinfo -*-
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20 ## @deftypefn {Function File} {} slice (@var{x}, @var{y}, @var{z}, @var{v}, @var{sx}, @var{sy}, @var{sz})
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21 ## @deftypefnx {Function File} {} slice (@var{x}, @var{y}, @var{z}, @var{v}, @var{xi}, @var{yi}, @var{zi})
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22 ## @deftypefnx {Function File} {} slice (@var{v}, @var{sx}, @var{sy}, @var{sz})
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23 ## @deftypefnx {Function File} {} slice (@var{v}, @var{xi}, @var{yi}, @var{zi})
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24 ## @deftypefnx {Function File} {@var{h} =} slice (@dots{})
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25 ## @deftypefnx {Function File} {@var{h} =} slice (@dots{}, @var{method})
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26 ## Plot slices of 3D data/scalar fields. Each element of the 3-dimensional
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27 ## array @var{v} represents a scalar value at a location given by the
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28 ## parameters @var{x}, @var{y}, and @var{z}. The parameters @var{x},
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29 ## @var{x}, and @var{z} are either 3-dimensional arrays of the same size
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30 ## as the array @var{v} in the "meshgrid" format or vectors. The
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31 ## parameters @var{xi}, etc. respect a similar format to @var{x}, etc.,
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32 ## and they represent the points at which the array @var{vi} is
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33 ## interpolated using interp3. The vectors @var{sx}, @var{sy}, and
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34 ## @var{sz} contain points of orthogonal slices of the respective axes.
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35 ##
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36 ## If @var{x}, @var{y}, @var{z} are omitted, they are assumed to be
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37 ## @code{x = 1:size (@var{v}, 2)}, @code{y = 1:size (@var{v}, 1)} and
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38 ## @code{z = 1:size (@var{v}, 3)}.
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39 ##
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40 ## @var{Method} is one of:
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41 ##
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42 ## @table @code
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43 ## @item "nearest"
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44 ## Return the nearest neighbor.
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45 ## @item "linear"
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46 ## Linear interpolation from nearest neighbors.
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47 ## @item "cubic"
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48 ## Cubic interpolation from four nearest neighbors (not implemented yet).
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49 ## @item "spline"
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50 ## Cubic spline interpolation---smooth first and second derivatives
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51 ## throughout the curve.
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52 ## @end table
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53 ##
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54 ## The default method is @code{"linear"}.
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55 ## The optional return value @var{h} is a vector of handles to the
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56 ## surface graphic objects.
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57 ##
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58 ## Examples:
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59 ## @example
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60 ## @group
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61 ## [x, y, z] = meshgrid (linspace (-8, 8, 32));
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62 ## v = sin (sqrt (x.^2 + y.^2 + z.^2)) ./ (sqrt (x.^2 + y.^2 + z.^2));
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63 ## slice (x, y, z, v, [], 0, []);
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64 ## [xi, yi] = meshgrid (linspace (-7, 7));
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65 ## zi = xi + yi;
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66 ## slice (x, y, z, v, xi, yi, zi);
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67 ## @end group
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68 ## @end example
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69 ## @seealso{interp3, surface, pcolor}
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70 ## @end deftypefn
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71
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72 ## Author: Kai Habel <kai.habel@gmx.de>
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73
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74 function h = slice (varargin)
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75
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76 method = "linear";
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77 nargs = nargin;
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78
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79 if (ischar (varargin{end}))
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80 method = varargin{end};
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81 nargs -= 1;
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82 endif
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83
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84 if (nargs == 4)
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85 v = varargin{1};
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86 if (ndims (v) != 3)
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87 error ("slice: expect 3-dimensional array of values");
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88 endif
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89 [nx, ny, nz] = size (v);
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90 [x, y, z] = meshgrid (1:nx, 1:ny, 1:nz);
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91 sx = varargin{2};
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92 sy = varargin{3};
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93 sz = varargin{4};
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94 elseif (nargs == 7)
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95 v = varargin{4};
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96 if (ndims (v) != 3)
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97 error ("slice: expect 3-dimensional array of values");
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98 endif
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99 x = varargin{1};
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100 y = varargin{2};
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101 z = varargin{3};
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102 if (all ([isvector(x), isvector(y), isvector(z)]))
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103 [x, y, z] = meshgrid (x, y, z);
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104 elseif (ndims (x) == 3 && size_equal (x, y, z))
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105 ## Do nothing.
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106 else
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107 error ("slice: X, Y, Z size mismatch");
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108 endif
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109 sx = varargin{5};
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110 sy = varargin{6};
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111 sz = varargin{7};
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112 else
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113 print_usage ();
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114 endif
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115
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116 if (any ([isvector(sx), isvector(sy), isvector(sz)]))
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117 have_sval = true;
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118 elseif (ndims(sx) == 2 && size_equal (sx, sy, sz))
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119 have_sval = false;
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120 else
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121 error ("slice: dimensional mismatch for (XI, YI, ZI) or (SX, SY, SZ)");
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122 endif
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123
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124 newplot ();
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125 ax = gca ();
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126 sidx = 1;
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127 maxv = max (v(:));
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128 minv = min (v(:));
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129 set (ax, "clim", [minv, maxv]);
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130
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131 if (have_sval)
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132 ns = length (sx) + length (sy) + length (sz);
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133 hs = zeros(ns,1);
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134 [ny, nx, nz] = size (v);
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135 if (length(sz) > 0)
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136 for i = 1:length(sz)
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137 [xi, yi, zi] = meshgrid (squeeze (x(1,:,1)),
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138 squeeze (y(:,1,1)), sz(i));
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139 vz = squeeze (interp3 (x, y, z, v, xi, yi, zi, method));
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140 tmp(sidx++) = surface (xi, yi, sz(i) * ones (size (yi)), vz);
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141 endfor
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142 endif
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143
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144 if (length (sy) > 0)
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145 for i = length(sy):-1:1
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146 [xi, yi, zi] = meshgrid (squeeze (x(1,:,1)), sy(i), squeeze (z(1,1,:)));
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147 vy = squeeze (interp3 (x, y, z, v, xi, yi, zi, method));
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148 tmp(sidx++) = surface (squeeze (xi),
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149 squeeze (sy(i) * ones (size (zi))),
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150 squeeze (zi), vy);
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151 endfor
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152 endif
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153
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154 if (length (sx) > 0)
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155 for i = length(sx):-1:1
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156 [xi, yi, zi] = meshgrid (sx(i), squeeze (y(:,1,1)), squeeze (z(1,1,:)));
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157 vx = squeeze (interp3 (x, y, z, v, xi, yi, zi, method));
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158 tmp(sidx++) = surface (squeeze (sx(i) * ones (size (zi))),
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159 squeeze (yi), squeeze(zi), vx);
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160 endfor
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161 endif
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162 else
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163 vi = interp3 (x, y, z, v, sx, sy, sz);
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164 tmp = surface (sx, sy, sz, vi);
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165 endif
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166
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167 if (! ishold ())
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168 set (ax, "view", [-37.5, 30.0], "box", "off", "xgrid", "on",
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169 "ygrid", "on", "zgrid", "on");
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170 endif
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171
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172 if (nargout > 0)
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173 h = tmp;
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174 endif
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175
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176 endfunction
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177
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178 %!demo
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179 %! [x, y, z] = meshgrid (linspace (-8, 8, 32));
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180 %! v = sin (sqrt (x.^2 + y.^2 + z.^2)) ./ (sqrt (x.^2 + y.^2 + z.^2));
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181 %! slice (x, y, z, v, [], 0, []);
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182 %! [xi, yi] = meshgrid (linspace (-7, 7));
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183 %! zi = xi + yi;
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184 %! slice (x, y, z, v, xi, yi, zi);