Mercurial > hg > octave-nkf
annotate scripts/plot/contourc.m @ 15283:a95432e7309c stable release-3-6-3
Version 3.6.3 released.
* configure.ac (AC_INIT): Version is now 3.6.3.
(OCTAVE_RELEASE_DATE): Now 2012-09-04.
| author | John W. Eaton <jwe@octave.org> |
|---|---|
| date | Tue, 04 Sep 2012 13:17:13 -0400 |
| parents | 4d917a6a858b |
| children | f3d52523cde1 |
| rev | line source |
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1 ## Copyright (C) 2003-2012 Shai Ayal |
| 6257 | 2 ## |
| 6440 | 3 ## This file is part of Octave. |
| 4 ## | |
| 5 ## Octave is free software; you can redistribute it and/or modify it | |
| 6257 | 6 ## under the terms of the GNU General Public License as published by |
| 7016 | 7 ## the Free Software Foundation; either version 3 of the License, or (at |
| 8 ## your option) any later version. | |
| 6257 | 9 ## |
| 6440 | 10 ## Octave is distributed in the hope that it will be useful, but |
| 6257 | 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 | |
| 7016 | 16 ## along with Octave; see the file COPYING. If not, see |
| 17 ## <http://www.gnu.org/licenses/>. | |
| 6257 | 18 |
| 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}. |
| 6257 | 22 ## Parameters @var{x}, @var{y} and @var{vn} are optional. |
| 23 ## | |
| 24 ## The return value @var{lev} is a vector of the contour levels. | |
| 25 ## The return value @var{c} is a 2 by @var{n} matrix containing the | |
| 26 ## contour lines in the following format | |
| 27 ## | |
| 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 |
| 6257 | 33 ## @end example |
| 34 ## | |
| 35 ## @noindent | |
| 36 ## in which contour line @var{n} has a level (height) of @var{levn} and | |
| 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 |
| 6257 | 42 ## value is wanted, set @code{@var{vn} = [val, val]}; |
| 43 ## If @var{vn} is omitted it defaults to 10. | |
| 44 ## | |
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45 ## For example: |
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46 ## |
| 6257 | 47 ## @example |
| 6592 | 48 ## @group |
| 49 ## x = 0:2; | |
| 50 ## y = x; | |
| 51 ## z = x' * y; | |
| 52 ## contourc (x, y, z, 2:3) | |
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53 ## @result{} 2.0000 2.0000 1.0000 3.0000 1.5000 2.0000 |
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54 ## 2.0000 1.0000 2.0000 2.0000 2.0000 1.5000 |
| 6592 | 55 ## @end group |
| 6257 | 56 ## @end example |
| 57 ## @seealso{contour} | |
| 58 ## @end deftypefn | |
| 59 | |
| 7327 | 60 ## Author: Shai Ayal <shaiay@users.sourceforge.net> |
| 6257 | 61 |
| 8236 | 62 function [cout, lev] = contourc (varargin) |
| 6257 | 63 |
| 64 if (nargin == 1) | |
| 65 vn = 10; | |
| 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; |
| 6257 | 70 elseif (nargin == 2) |
| 71 vn = varargin{2}; | |
| 72 z = varargin{1}; | |
| 7327 | 73 [nr, nc] = size (z); |
| 74 x = 1:nc; | |
| 75 y = 1:nr; | |
| 6257 | 76 elseif (nargin == 3) |
| 77 vn = 10; | |
| 78 x = varargin{1}; | |
| 79 y = varargin{2}; | |
| 80 z = varargin{3}; | |
| 81 elseif (nargin == 4) | |
| 82 vn = varargin{4}; | |
| 83 x = varargin{1}; | |
| 84 y = varargin{2}; | |
| 85 z = varargin{3}; | |
| 86 else | |
| 87 print_usage (); | |
| 88 endif | |
| 89 | |
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90 if (!ismatrix (z) || isvector (z) || isscalar (z)) |
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91 error ("contourc: Z argument must be a matrix"); |
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92 endif |
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93 |
| 6257 | 94 if (isscalar (vn)) |
| 95 vv = linspace (min (z(:)), max (z(:)), vn+2)(2:end-1); | |
| 96 else | |
| 97 vv = unique (sort (vn)); | |
| 98 endif | |
| 99 | |
| 7327 | 100 if (isvector (x) && isvector (y)) |
| 101 c = __contourc__ (x(:)', y(:)', z, vv); | |
| 102 else | |
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103 ## Indexes x,y for the purpose of __contourc__. |
| 7327 | 104 ii = 1:size (z,2); |
| 105 jj = 1:size (z,1); | |
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106 |
| 7327 | 107 ## Now call __contourc__ for the real work... |
| 108 c = __contourc__ (ii, jj, z, vv); | |
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109 |
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110 ## Map the contour lines from index space (i,j) back |
| 7327 | 111 ## to the original grid (x,y) |
| 112 i = 1; | |
| 6257 | 113 |
| 7327 | 114 while (i < size (c,2)) |
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115 clen = c(2, i); |
| 7327 | 116 ind = i + [1 : clen]; |
| 6257 | 117 |
| 7327 | 118 ci = c(1, ind); |
| 119 cj = c(2,ind); | |
| 120 | |
| 121 ## due to rounding errors some elements of ci and cj | |
| 122 ## can fall out of the range of ii and jj and interp2 would | |
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123 ## return NA for those values. |
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124 ## The permitted range is enforced here: |
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125 |
| 7327 | 126 ci = max (ci, 1); ci = min (ci, size (z, 2)); |
| 127 cj = max (cj, 1); cj = min (cj, size (z, 1)); | |
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128 |
| 7327 | 129 c(1, ind) = interp2 (ii, jj, x, ci, cj); |
| 130 c(2, ind) = interp2 (ii, jj, y, ci, cj); | |
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131 |
| 7327 | 132 i = i + clen + 1; |
| 133 endwhile | |
| 6257 | 134 endif |
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135 |
| 8236 | 136 if (nargout > 0) |
| 137 cout = c; | |
| 6257 | 138 lev = vv; |
| 139 endif | |
| 140 | |
| 141 endfunction | |
| 7245 | 142 |
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143 %!test |
| 7245 | 144 %! x = 0:2; |
| 145 %! y = x; | |
| 146 %! z = x' * y; | |
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147 %! [c_actual, lev_actual]= contourc (x, y, z, 2:3); |
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148 %! c_expected = [2, 1, 1, 2, 2, 3, 1.5, 2; 4, 2, 2, 1, 1, 2, 2, 1.5]; |
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149 %! lev_expected = [2 3]; |
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150 %! assert (c_actual, c_expected, eps) |
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151 %! assert (lev_actual, lev_expected, eps) |
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152 |
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153 |