annotate scripts/plot/draw/contourc.m @ 33670:9dd2a8e7e0d5 default tip @

uifigure.m: Make sure variable exists before it is used (bug #65459). * scripts/gui/uifigure.m: The variable "props" might have been used before it existed. Make sure it exists for all code paths.
author Markus Mützel <markus.muetzel@gmx.de>
date Mon, 24 Jun 2024 10:29:15 +0200
parents 2e484f9f1f18
children
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1 ########################################################################
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2 ##
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3 ## Copyright (C) 2003-2024 The Octave Project Developers
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4 ##
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5 ## See the file COPYRIGHT.md in the top-level directory of this
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6 ## distribution or <https://octave.org/copyright/>.
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7 ##
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8 ## This file is part of Octave.
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9 ##
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10 ## Octave is free software: you can redistribute it and/or modify it
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11 ## under the terms of the GNU General Public License as published by
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12 ## the Free Software Foundation, either version 3 of the License, or
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13 ## (at your option) any later version.
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14 ##
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15 ## Octave is distributed in the hope that it will be useful, but
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16 ## WITHOUT ANY WARRANTY; without even the implied warranty of
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17 ## MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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18 ## GNU General Public License for more details.
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19 ##
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20 ## You should have received a copy of the GNU General Public License
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21 ## along with Octave; see the file COPYING. If not, see
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22 ## <https://www.gnu.org/licenses/>.
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23 ##
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24 ########################################################################
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25
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26 ## -*- texinfo -*-
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27 ## @deftypefn {} {@var{c} =} contourc (@var{z})
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28 ## @deftypefnx {} {@var{c} =} contourc (@var{z}, @var{vn})
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29 ## @deftypefnx {} {@var{c} =} contourc (@var{x}, @var{y}, @var{z})
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30 ## @deftypefnx {} {@var{c} =} contourc (@var{x}, @var{y}, @var{z}, @var{vn})
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31 ## @deftypefnx {} {[@var{c}, @var{lev}] =} contourc (@dots{})
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32 ## Compute contour lines (isolines of constant Z value).
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33 ##
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34 ## The matrix @var{z} contains height values above the rectangular grid
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35 ## determined by @var{x} and @var{y}. If only a single input @var{z} is
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36 ## provided then @var{x} is taken to be @code{1:columns (@var{z})} and @var{y}
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37 ## is taken to be @code{1:rows (@var{z})}. The minimum data size is 2x2.
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38 ##
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39 ## The optional input @var{vn} is either a scalar denoting the number of
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40 ## contour lines to compute or a vector containing the Z values where lines
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41 ## will be computed. When @var{vn} is a vector the number of contour lines
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42 ## is @code{numel (@var{vn})}. However, to compute a single contour line
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43 ## at a given value use @code{@var{vn} = [val, val]}. If @var{vn} is omitted
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44 ## it defaults to 10.
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45 ##
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46 ## The return value @var{c} is a 2x@var{n} matrix containing the contour lines
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47 ## in the following format
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48 ##
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49 ## @example
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50 ## @group
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51 ## @var{c} = [lev1, x1, x2, @dots{}, levn, x1, x2, ...
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52 ## len1, y1, y2, @dots{}, lenn, y1, y2, @dots{}]
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53 ## @end group
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54 ## @end example
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55 ##
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56 ## @noindent
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57 ## in which contour line @var{n} has a level (height) of @var{levn} and length
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58 ## of @var{lenn}.
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59 ##
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60 ## The optional return value @var{lev} is a vector with the Z values of the
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61 ## contour levels.
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62 ##
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63 ## Example:
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64 ##
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65 ## @example
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66 ## @group
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67 ## x = 0:2;
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68 ## y = x;
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69 ## z = x' * y;
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70 ## c = contourc (x, y, z, 2:3)
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71 ## @result{} c =
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72 ## 2.0000 1.0000 1.0000 2.0000 2.0000 3.0000 1.5000 2.0000
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73 ## 4.0000 2.0000 2.0000 1.0000 1.0000 2.0000 2.0000 1.5000
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74 ## @end group
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75 ## @end example
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76 ## @seealso{contour, contourf, contour3, clabel}
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77 ## @end deftypefn
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78
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79 function [c, lev] = contourc (varargin)
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80
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81 if (nargin < 1 || nargin > 4)
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82 print_usage ();
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83 endif
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84
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85 if (nargin == 1)
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86 z = varargin{1};
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87 x = 1:columns (z);
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88 y = 1:rows (z);
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89 vn = 10;
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90 elseif (nargin == 2)
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91 z = varargin{1};
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92 x = 1:columns (z);
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93 y = 1:rows (z);
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94 vn = varargin{2};
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95 elseif (nargin == 3)
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96 x = varargin{1};
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97 y = varargin{2};
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98 z = varargin{3};
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99 vn = 10;
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100 elseif (nargin == 4)
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101 x = varargin{1};
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102 y = varargin{2};
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103 z = varargin{3};
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104 vn = varargin{4};
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105 endif
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106
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107 if (! (isnumeric (z) && isnumeric (x) && isnumeric (y))
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108 || ! (ismatrix (z) && ismatrix (x) && ismatrix (y))
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109 || ! (isreal (z) && isreal (x) && isreal (y)))
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110 error ("contourc: X, Y, and Z must be real numeric matrices");
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111 endif
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112
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113 if (rows (z) < 2 || columns (z) < 2)
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114 error ("contourc: Z data must have at least 2 rows and 2 columns");
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115 endif
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116
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117 if (isscalar (vn))
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118 lev = linspace (min (z(:)), max (z(:)), vn+2)(2:end-1);
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119 else
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120 lev = unique (sort (vn));
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121 endif
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122
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123 if (isvector (x) && isvector (y))
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124 c = __contourc__ (x(:)', y(:)', z, lev);
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125 elseif (! any (bsxfun (@minus, x, x(1,:))(:))
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126 && ! any (bsxfun (@minus, y, y(:,1))(:)))
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127 ## x,y are uniform grid (such as from meshgrid)
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128 c = __contourc__ (x(1,:), y(:,1)', z, lev);
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129 else
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130 ## Data is sampled over non-uniform mesh.
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131 ## Algorithm calculates contours for uniform grid
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132 ## and then interpolates values back to the non-uniform mesh.
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133
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134 ## Uniform grid for __contourc__.
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135 [nr, nc] = size (z);
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136 ii = 1:nc;
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137 jj = 1:nr;
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138
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139 c = __contourc__ (ii, jj, z, lev);
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140
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141 ## Map the contour lines from index space (i,j)
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142 ## back to the original grid (x,y)
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143 i = 1;
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144
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145 while (i < columns (c))
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146 clen = c(2, i);
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147 idx = i + (1:clen);
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148
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149 ci = c(1, idx);
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150 cj = c(2, idx);
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151
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152 ## Due to rounding errors, some elements of ci and cj can fall out of the
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153 ## range of ii and jj and interp2 would return NA for those values.
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154 ## The permitted range is enforced here:
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155
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156 ci = max (ci, 1); ci = min (ci, nc);
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157 cj = max (cj, 1); cj = min (cj, nr);
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158
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159 c(1, idx) = interp2 (ii, jj, x, ci, cj);
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160 c(2, idx) = interp2 (ii, jj, y, ci, cj);
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161
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162 i += (clen + 1);
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163 endwhile
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164 endif
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165
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166 endfunction
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167
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168
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169 %!test
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170 %! x = 0:2;
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171 %! y = x;
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172 %! z = x' * y;
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173 %! c_exp = [2, 1, 1, 2, 2, 3, 1.5, 2; 4, 2, 2, 1, 1, 2, 2, 1.5];
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174 %! lev_exp = [2 3];
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175 %! [c_obs, lev_obs] = contourc (x, y, z, 2:3);
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176 %! assert (c_obs, c_exp, eps);
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177 %! assert (lev_obs, lev_exp, eps);
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178
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179 ## Test input validation
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180 %!error <Invalid call> contourc ()
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181 %!error <Invalid call> contourc (1,2,3,4,5)
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182 %!error <X, Y, and Z must be .* numeric> contourc ({3})
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183 %!error <X, Y, and Z must be .* numeric> contourc ({1}, 2, 3)
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184 %!error <X, Y, and Z must be .* numeric> contourc (1, {2}, 3)
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185 %!error <X, Y, and Z must be .* matrices> contourc (ones (3,3,3))
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186 %!error <X, Y, and Z must be .* matrices> contourc (ones (3,3,3), 2, 3)
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187 %!error <X, Y, and Z must be .* matrices> contourc (1, ones (3,3,3), 3)
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188 %!error <X, Y, and Z must be real> contourc (3i)
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189 %!error <X, Y, and Z must be real> contourc (1i, 2, 3)
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190 %!error <X, Y, and Z must be real> contourc (1, 2i, 3)
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191 %!error <Z data must have at least 2 rows> contourc ([1, 2])
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192 %!error <Z data must have at least .* 2 columns> contourc ([1; 2])