annotate scripts/plot/draw/meshz.m @ 19630:0e1f5a750d00

maint: Periodic merge of gui-release to default.
author John W. Eaton <jwe@octave.org>
date Tue, 20 Jan 2015 10:24:46 -0500
parents 64173c377a6b 446c46af4b42
children 4197fc428c7d
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d63878346099 maint: Update copyright notices for release.
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1 ## Copyright (C) 2007-2013 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} {} meshz (@var{x}, @var{y}, @var{z})
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21 ## @deftypefnx {Function File} {} meshz (@var{z})
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22 ## @deftypefnx {Function File} {} meshz (@dots{}, @var{c})
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23 ## @deftypefnx {Function File} {} meshz (@dots{}, @var{prop}, @var{val}, @dots{})
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24 ## @deftypefnx {Function File} {} meshz (@var{hax}, @dots{})
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25 ## @deftypefnx {Function File} {@var{h} =} meshz (@dots{})
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26 ## Plot a 3-D wireframe mesh with a surrounding curtain.
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27 ##
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28 ## The wireframe mesh is plotted using rectangles. The vertices of the
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29 ## rectangles [@var{x}, @var{y}] are typically the output of @code{meshgrid}.
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30 ## over a 2-D rectangular region in the x-y plane. @var{z} determines the
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31 ## height above the plane of each vertex. If only a single @var{z} matrix is
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32 ## given, then it is plotted over the meshgrid
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33 ## @code{@var{x} = 0:columns (@var{z}) - 1, @var{y} = 0:rows (@var{z}) - 1}.
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34 ## Thus, columns of @var{z} correspond to different @var{x} values and rows
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35 ## of @var{z} correspond to different @var{y} values.
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36 ##
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37 ## The color of the mesh is computed by linearly scaling the @var{z} values
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38 ## to fit the range of the current colormap. Use @code{caxis} and/or
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39 ## change the colormap to control the appearance.
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40 ##
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41 ## Optionally the color of the mesh can be specified independently of @var{z}
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42 ## by supplying a color matrix, @var{c}.
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43 ##
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44 ## Any property/value pairs are passed directly to the underlying surface
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45 ## object.
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46 ##
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47 ## If the first argument @var{hax} is an axes handle, then plot into this axis,
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48 ## rather than the current axes returned by @code{gca}.
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49 ##
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50 ## The optional return value @var{h} is a graphics handle to the created
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51 ## surface object.
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52 ##
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53 ## @seealso{mesh, meshc, contour, surf, surface, waterfall, meshgrid, hidden, shading, colormap, caxis}
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54 ## @end deftypefn
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55
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56 function h = meshz (varargin)
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57
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58 if (! all (cellfun ("isreal", varargin)))
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59 error ("meshz: X, Y, Z, C arguments must be real");
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60 endif
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61
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62 [hax, varargin, nargin] = __plt_get_axis_arg__ ("meshz", varargin{:});
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63
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64 ## Find where property/value pairs start
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65 charidx = find (cellfun ("isclass", varargin, "char"), 1);
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66
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67 if (isempty (charidx))
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68 charidx = nargin + 1;
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69 endif
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70
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71 if (nargin == 1)
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72 z = varargin{1};
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73 [m, n] = size (z);
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74 x = 0:(n-1);
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75 y = (0:(m-1)).';
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76 c = z;
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77 elseif (nargin == 2)
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78 z = varargin{1};
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79 [m, n] = size (z);
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80 x = 0:(n-1);
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81 y = (0:(m-1)).';
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82 c = varargin{2};
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83 elseif (charidx == 4)
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84 x = varargin{1};
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85 y = varargin{2};
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86 z = varargin{3};
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87 c = z;
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88 else
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89 x = varargin{1};
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90 y = varargin{2};
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91 z = varargin{3};
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92 c = varargin{4};
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93 endif
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94
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95 ## Create a border of one rectangle (2 points) as the curtain around
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96 ## the data and draw it with the mean (max + min / 2) color of the data.
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97
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98 if (isvector (x) && isvector (y))
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99 x = [x(1), x(1), x(:).', x(end), x(end)];
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100 y = [y(1); y(1); y(:); y(end); y(end)];
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101 else
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102 x = [x(1,1), x(1,1), x(1,:), x(1,end), x(1,end);
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103 x(1,1), x(1,1), x(1,:), x(1,end), x(1,end);
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104 x(:,1), x(:,1), x, x(:,end), x(:,end);
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105 x(end,1), x(end,1), x(end,:), x(end,end), x(end,end);
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106 x(end,1), x(end,1), x(end,:), x(end,end), x(end,end) ];
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107 y = [y(1,1), y(1,1), y(1,:), y(1,end), y(1,end);
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108 y(1,1), y(1,1), y(1,:), y(1,end), y(1,end);
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109 y(:,1), y(:,1), y, y(:,end), y(:,end);
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110 y(end,1), y(end,1), y(end,:), y(end,end), y(end,end);
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111 y(end,1), y(end,1), y(end,:), y(end,end), y(end,end) ];
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112 endif
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113
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114 zref = min (z(isfinite (z)));
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115 z = [zref .* ones(1, columns(z) + 4);
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116 zref .* ones(1, 2), z(1,:), zref .* ones(1, 2);
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117 zref .* ones(rows(z), 1), z(:,1),z, z(:,end), zref .* ones(rows(z), 1);
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118 zref .* ones(1, 2), z(end,:), zref .* ones(1, 2);
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119 zref .* ones(1, columns(z) + 4)];
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120
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121 cdat = c(isfinite (c(:)));
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122 cref = (min (cdat) + max (cdat)) / 2;
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123 c = [cref .* ones(2, columns(c) + 4);
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124 cref .* ones(rows(c), 2), c, cref .* ones(rows(c), 2);
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125 cref .* ones(2, columns(c) + 4)];
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126
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127 oldfig = [];
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128 if (! isempty (hax))
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129 oldfig = get (0, "currentfigure");
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130 endif
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131 unwind_protect
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132 hax = newplot (hax);
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133 htmp = mesh (x, y, z, c, varargin{charidx:end});
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134 unwind_protect_cleanup
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135 if (! isempty (oldfig))
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136 set (0, "currentfigure", oldfig);
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137 endif
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138 end_unwind_protect
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139
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140 if (nargout > 0)
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141 h = htmp;
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142 endif
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143
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144 endfunction
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145
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146
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147 %!demo
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148 %! clf;
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149 %! colormap ('default');
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150 %! Z = peaks ();
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151 %! meshz (Z);
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152 %! title ('meshz() plot of peaks() function');
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153
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154 %!demo
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155 %! clf;
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156 %! colormap ('default');
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157 %! Z = peaks ();
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158 %! subplot (1,2,1)
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159 %! mesh (Z);
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160 %! daspect ([2.5, 2.5, 1]);
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161 %! title ('mesh() plot');
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162 %! subplot (1,2,2)
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163 %! meshz (Z);
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164 %! daspect ([2.5, 2.5, 1]);
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165 %! title ('meshz() plot');
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166
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167 %!demo
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168 %! clf;
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169 %! colormap ('default');
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170 %! [X,Y,Z] = peaks ();
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171 %! [fx, fy] = gradient (Z);
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172 %! C = sqrt (fx.^2 + fy.^2);
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173 %! meshz (X,Y,Z,C);
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174 %! title ('meshz() plot with color determined by gradient');
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175