annotate scripts/plot/contourc.m @ 9758:09da0bd91412

Periodic grammar check of Octave documentation files to ensure common format Use double spaces after a period at start of new sentence Do not use @iftex blocks where @tex block is sufficient
author Rik <rdrider0-list@yahoo.com>
date Fri, 23 Oct 2009 09:28:14 -0700
parents 1bf0ce0930be
children 60542efcfa2c
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1 ## Copyright (C) 2003, 2007, 2008, 2009 Shai Ayal
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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} {[@var{c}, @var{lev}] =} contourc (@var{x}, @var{y}, @var{z}, @var{vn})
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21 ## Compute isolines (contour lines) of the matrix @var{z}.
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22 ## Parameters @var{x}, @var{y} and @var{vn} are optional.
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23 ##
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24 ## The return value @var{lev} is a vector of the contour levels.
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25 ## The return value @var{c} is a 2 by @var{n} matrix containing the
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26 ## contour lines in the following format
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27 ##
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28 ## @example
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29 ## @group
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30 ## @var{c} = [lev1, x1, x2, @dots{}, levn, x1, x2, ...
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31 ## len1, y1, y2, @dots{}, lenn, y1, y2, @dots{}]
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32 ## @end group
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33 ## @end example
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34 ##
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35 ## @noindent
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36 ## in which contour line @var{n} has a level (height) of @var{levn} and
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37 ## length of @var{lenn}.
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38 ##
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39 ## If @var{x} and @var{y} are omitted they are taken as the row/column
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40 ## index of @var{z}. @var{vn} is either a scalar denoting the number of lines
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41 ## to compute or a vector containing the values of the lines. If only one
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42 ## value is wanted, set @code{@var{vn} = [val, val]};
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43 ## If @var{vn} is omitted it defaults to 10.
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44 ##
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45 ## For example,
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46 ## @example
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47 ## @group
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48 ## x = 0:2;
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49 ## y = x;
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50 ## z = x' * y;
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51 ## contourc (x, y, z, 2:3)
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52 ## @result{} 2.0000 2.0000 1.0000 3.0000 1.5000 2.0000
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53 ## 2.0000 1.0000 2.0000 2.0000 2.0000 1.5000
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54 ##
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55 ## @end group
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56 ## @end example
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57 ## @seealso{contour}
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58 ## @end deftypefn
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59
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60 ## Author: Shai Ayal <shaiay@users.sourceforge.net>
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61
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62 function [cout, lev] = contourc (varargin)
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63
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64 if (nargin == 1)
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65 vn = 10;
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66 z = varargin{1};
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67 [nr, nc] = size (z);
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68 x = 1:nc;
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69 y = 1:nr;
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70 elseif (nargin == 2)
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71 vn = varargin{2};
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72 z = varargin{1};
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73 [nr, nc] = size (z);
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74 x = 1:nc;
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75 y = 1:nr;
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76 elseif (nargin == 3)
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77 vn = 10;
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78 x = varargin{1};
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79 y = varargin{2};
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80 z = varargin{3};
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81 elseif (nargin == 4)
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82 vn = varargin{4};
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83 x = varargin{1};
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84 y = varargin{2};
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85 z = varargin{3};
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86 else
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87 print_usage ();
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88 endif
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89
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90 if (isscalar (vn))
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91 vv = linspace (min (z(:)), max (z(:)), vn+2)(2:end-1);
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92 else
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93 vv = unique (sort (vn));
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94 endif
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95
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96 if (isvector (x) && isvector (y))
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97 c = __contourc__ (x(:)', y(:)', z, vv);
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98 else
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99 ## Indexes x,y for the purpose of __contourc__.
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100 ii = 1:size (z,2);
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101 jj = 1:size (z,1);
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102
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103 ## Now call __contourc__ for the real work...
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104 c = __contourc__ (ii, jj, z, vv);
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105
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106 ## Map the contour lines from index space (i,j) back
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107 ## to the original grid (x,y)
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108 i = 1;
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109
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110 while (i < size (c,2))
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111 clen = c(2, i);
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112 ind = i + [1 : clen];
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113
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114 ci = c(1, ind);
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115 cj = c(2,ind);
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116
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117 ## due to rounding errors some elements of ci and cj
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118 ## can fall out of the range of ii and jj and interp2 would
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119 ## return NA for those values.
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120 ## The permitted range is enforced here:
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121
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122 ci = max (ci, 1); ci = min (ci, size (z, 2));
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123 cj = max (cj, 1); cj = min (cj, size (z, 1));
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124
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125 c(1, ind) = interp2 (ii, jj, x, ci, cj);
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126 c(2, ind) = interp2 (ii, jj, y, ci, cj);
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127
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128 i = i + clen + 1;
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129 endwhile
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130 endif
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131
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132 if (nargout > 0)
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133 cout = c;
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134 lev = vv;
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135 endif
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136
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137 endfunction
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138
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139 %!test
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140 %! x = 0:2;
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141 %! y = x;
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142 %! z = x' * y;
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143 %! [c_actual, lev_actual]= contourc (x, y, z, 2:3);
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144 %! c_expected = [2, 1, 1, 2, 2, 3, 1.5, 2; 4, 2, 2, 1, 1, 2, 2, 1.5];
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145 %! lev_expected = [2 3];
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146 %! assert (c_actual, c_expected, eps)
a013ff655ca4 Trivial changes to demos to produce a more pleasant output for octave+gnuplot+aquaterm.
Ben Abbott <bpabbott@mac.com>
parents: 8325
diff changeset
147 %! assert (lev_actual, lev_expected, eps)
a013ff655ca4 Trivial changes to demos to produce a more pleasant output for octave+gnuplot+aquaterm.
Ben Abbott <bpabbott@mac.com>
parents: 8325
diff changeset
148
a013ff655ca4 Trivial changes to demos to produce a more pleasant output for octave+gnuplot+aquaterm.
Ben Abbott <bpabbott@mac.com>
parents: 8325
diff changeset
149