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annotate scripts/plot/util/ndgrid.m @ 31212:55415fa6a20f

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svgconvert: Use Lossless encoding of images when available (bug #52193) * acinclude.m4: Check that QPainter::LosslessImageRendering flag is available. * octave-svgconvert.cc (draw): Use new flag if available. * print.m (doc): Update word of caution about svgconvert and images.
author Pantxo Diribarne <pantxo.diribarne@gmail.com>
date Mon, 29 Aug 2022 16:36:34 +0200
parents 796f54d4ddbf
children 597f3ee61a48
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1 ########################################################################
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2 ##
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3 ## Copyright (C) 2006-2022 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{y1}, @var{y2}, @dots{}, @var{y}n] =} ndgrid (@var{x1}, @var{x2}, @dots{}, @var{x}n)
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28 ## @deftypefnx {} {[@var{y1}, @var{y2}, @dots{}, @var{y}n] =} ndgrid (@var{x})
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29 ## Given n vectors @var{x1}, @dots{}, @var{x}n, @code{ndgrid} returns n
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30 ## arrays of dimension n.
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31 ##
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32 ## The elements of the i-th output argument contains the elements of the
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33 ## vector @var{x}i repeated over all dimensions different from the i-th
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34 ## dimension. Calling ndgrid with only one input argument @var{x} is
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35 ## equivalent to calling ndgrid with all n input arguments equal to @var{x}:
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36 ##
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37 ## [@var{y1}, @var{y2}, @dots{}, @var{y}n] = ndgrid (@var{x}, @dots{}, @var{x})
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38 ##
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39 ## Programming Note: @code{ndgrid} is very similar to the function
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40 ## @code{meshgrid} except that the first two dimensions are transposed in
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41 ## comparison to @code{meshgrid}. Some core functions expect @code{meshgrid}
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42 ## input and others expect @code{ndgrid} input. Check the documentation for
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43 ## the function in question to determine the proper input format.
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44 ## @seealso{meshgrid}
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45 ## @end deftypefn
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46
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47 function varargout = ndgrid (varargin)
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48
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49 if (nargin == 0)
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50 print_usage ();
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51 elseif (nargin == 1)
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52 nd = max (nargout, 1);
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53 ## If only one input argument is given, repeat it nd-times
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54 varargin(1:nd) = varargin(1);
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55 elseif (nargin >= nargout)
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56 nd = max (nargin, 1);
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57 else
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58 error ("ndgrid: wrong number of input arguments");
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59 endif
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60
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61 ## Determine the size of the output arguments
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62 shape = zeros (1, nd);
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63 for i = 1:nd
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64 if (! isvector (varargin{i}) && ! isempty (varargin{i}))
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65 error ("ndgrid: arguments must be vectors");
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66 endif
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67 shape(i) = length (varargin{i});
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68 endfor
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69
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70 if (nd == 1)
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71 ## Special case, single input vector
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72 varargout{1} = varargin{1}(:);
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73 else
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74 for i = 1:nd
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75 ## size for reshape
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76 r = ones (1, nd+1);
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77 r(i) = shape(i);
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78
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79 ## size for repmat
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80 s = shape;
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81 s(i) = 1;
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82
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83 varargout{i} = repmat (reshape (varargin{i}, r), s);
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84 endfor
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85 endif
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86
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87 endfunction
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88
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89
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90 %!test
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91 %! x = 1:3;
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92 %! assert (isequal (ndgrid (x), x(:)));
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93
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94 %!test
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95 %! x = 1:3;
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96 %! [XX, YY] = ndgrid (x);
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97 %! assert (size_equal (XX, YY));
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98 %! assert (isequal (XX, repmat (x(:), 1, numel (x))));
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99 %! assert (isequal (YY, repmat (x, numel (x), 1)));
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100
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101 %!test
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102 %! x = 1:2;
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103 %! y = 1:3;
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104 %! z = 1:4;
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105 %! [XX, YY, ZZ] = ndgrid (x, y, z);
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106 %! assert (size_equal (XX, YY, ZZ));
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107 %! assert (ndims (XX), 3);
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108 %! assert (size (XX), [2, 3, 4]);
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109 %! assert (XX(1) * YY(1) * ZZ(1), x(1) * y(1) * z(1));
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110 %! assert (XX(end) * YY(end) * ZZ(end), x(end) * y(end) * z(end));
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111
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112 %!test
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113 %! x = 1:2;
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114 %! y = 1:3;
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115 %! [XX1, YY1] = meshgrid (x, y);
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116 %! [XX2, YY2] = ndgrid (x, y);
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117 %! assert (size_equal (XX1, YY1));
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118 %! assert (size_equal (XX2, YY2));
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119 %! assert (ndims (XX1), 2);
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120 %! assert (size (XX1), [3, 2]);
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121 %! assert (size (XX2), [2, 3]);
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122 %! assert (XX2(1) * YY2(1), x(1) * y(1));
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123 %! assert (XX2(end) * YY2(end), x(end) * y(end));
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124 %! assert (XX1, XX2.');
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125 %! assert (YY1, YY2.');
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126
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127 %!assert (ndgrid ([]), zeros (0,1))
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128 %!assert (ndgrid ([], []), zeros(0,0))
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129
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130 ## Test input validation
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131 %!error <Invalid call> ndgrid ()
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132 %!error <wrong number of input arguments> [a,b,c] = ndgrid (1:3,1:3)
e205f5ea826a ndgrid.m: Fix Matlab incompatibility with null inputs (bug #38685).
Rik <rik@octave.org>
parents: 16675
diff changeset
133 %!error <arguments must be vectors> ndgrid (ones (2,2))