annotate scripts/plot/plot3.m @ 6078:34b1758d3247

[project @ 2006-10-24 18:38:51 by jwe]
author jwe
date Tue, 24 Oct 2006 18:38:51 +0000
parents 01556febbaaf
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1 ## Copyright (C) 1996 John W. Eaton
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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 2, or (at your option)
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8 ## 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, write to the Free
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17 ## Software Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA
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18 ## 02110-1301, USA.
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19
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20 ## -*- texinfo -*-
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21 ## @deftypefn {Function File} {} plot3 (@var{args})
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22 ##
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23 ## This function produces three-dimensional plots. Many different
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24 ## combinations of arguments are possible. The simplest form is
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25 ##
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26 ## @example
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27 ## plot3 (@var{x}, @var{y}, @var{z})
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28 ## @end example
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29 ##
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30 ## @noindent
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31 ## where the arguments are taken to be the vertices of the points to be
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32 ## plotted in three dimensions. If all arguments are vectors of the same
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33 ## length, then a single continuous line is drawn. If all arguments are
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34 ## matrices, then each column of the matrices is treated as a seperate
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35 ## line. No attempt is made to transpose the arguments to make the
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36 ## number of rows match.
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37 ##
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38 ## Additionally, only two arguments can be given as
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39 ##
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40 ## @example
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41 ## plot3 (@var{x}, @var{c})
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42 ## @end example
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43 ##
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44 ## where the real and imaginary parts of the second argument are used as
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45 ## the @var{y} and @var{z} coordinates, respectively.
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46 ##
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47 ## If only one argument is given, as
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48 ##
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49 ## @example
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50 ## plot3 (@var{c})
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51 ## @end example
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52 ##
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53 ## the real and imaginary parts of the argument are used as the @var{y}
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54 ## and @var{z} values, and they are plotted versus their index.
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55 ##
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56 ## To save a plot, in one of several image formats such as PostScript
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57 ## or PNG, use the @code{print} command.
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58 ##
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59 ## An optional format argument can be given as
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60 ##
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61 ## @example
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62 ## plot3 (@var{x}, @var{y}, @var{y}, @var{fmt})
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63 ## @end example
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64 ##
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65 ## If the @var{fmt} argument is supplied, it is interpreted as
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66 ## follows. If @var{fmt} is missing, the default gnuplot line style
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67 ## is assumed.
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68 ##
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69 ## @table @samp
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70 ## @item -
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71 ## Set lines plot style (default).
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72 ##
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73 ## @item .
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74 ## Set dots plot style.
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75 ##
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76 ## @item @@
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77 ## Set points plot style.
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78 ##
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79 ## @item -@@
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80 ## Set linespoints plot style.
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81 ##
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82 ## @item ^
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83 ## Set impulses plot style.
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84 ##
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85 ## @item L
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86 ## Set steps plot style.
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87 ##
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88 ## @item @var{n}
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89 ## Interpreted as the plot color if @var{n} is an integer in the range 1 to
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90 ## 6.
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91 ##
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92 ## @item @var{nm}
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93 ## If @var{nm} is a two digit integer and @var{m} is an integer in the
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94 ## range 1 to 6, @var{m} is interpreted as the point style. This is only
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95 ## valid in combination with the @code{@@} or @code{-@@} specifiers.
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96 ##
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97 ## @item @var{c}
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98 ## If @var{c} is one of @code{"k"}, @code{"r"}, @code{"g"}, @code{"b"},
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99 ## @code{"m"}, @code{"c"}, or @code{"w"}, it is interpreted as the plot
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100 ## color (black, red, green, blue, magenta, cyan, or white).
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101 ##
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102 ## @item ";title;"
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103 ## Here @code{"title"} is the label for the key.
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104 ##
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105 ## @item +
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106 ## @itemx *
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107 ## @itemx o
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108 ## @itemx x
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109 ## Used in combination with the points or linespoints styles, set the point
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110 ## style.
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111 ## @end table
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112 ##
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113 ## The color line styles have the following meanings on terminals that
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114 ## support color.
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115 ##
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116 ## @example
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117 ## Number Gnuplot colors (lines)points style
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118 ## 1 red *
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119 ## 2 green +
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120 ## 3 blue o
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121 ## 4 magenta x
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122 ## 5 cyan house
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123 ## 6 brown there exists
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124 ## @end example
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125 ##
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126 ## The @var{fmt} argument can also be used to assign key titles.
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127 ## To do so, include the desired title between semi-colons after the
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128 ## formatting sequence described above, e.g. "+3;Key Title;"
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129 ## Note that the last semi-colon is required and will generate an error if
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130 ## it is left out.
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131 ##
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132 ## Arguments can also be given in groups of three as
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133 ##
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134 ## @example
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135 ## plot3 (@var{x1}, @var{y1}, @var{y1}, @var{x2}, @var{y2}, @var{y2}, @dots{})
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136 ## @end example
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137 ##
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138 ## @noindent
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139 ## where each set of three arguments is treated as a seperate line or
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140 ## set of lines in three dimensions.
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141 ##
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142 ## To plot multiple one- or two-argument groups, separate each group with an
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143 ## empty format string, as
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144 ##
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145 ## @example
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146 ## plot3 (@var{x1}, @var{c1}, '', @var{c2}, '', @dots{})
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147 ## @end example
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148 ##
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149 ## An example of the use of plot3 is
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150 ##
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151 ## @example
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152 ## @group
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153 ## z = [0:0.05:5];
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154 ## plot3(cos(2*pi*z), sin(2*pi*z), z, ";helix;");
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155 ## plot3(z, exp(2i*pi*z), ";complex sinusoid;");
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156 ## @end group
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157 ## @end example
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158 ##
55404f3b0da1 [project @ 2006-06-01 19:05:31 by jwe]
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159 ## @seealso{plot, semilogx, semilogy, loglog, polar, mesh, contour, __pltopt__
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160 ## bar, stairs, errorbar, replot, xlabel, ylabel, title, print}
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161 ## @end deftypefn
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162
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163 ## Author: Paul Kienzle
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164 ## (modified from __plt__.m)
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165
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166 function plot3 (varargin)
5837
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167
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168 hold_state = ishold ();
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169
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170 unwind_protect
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171
55404f3b0da1 [project @ 2006-06-01 19:05:31 by jwe]
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diff changeset
172 x_set = 0;
55404f3b0da1 [project @ 2006-06-01 19:05:31 by jwe]
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173 y_set = 0;
55404f3b0da1 [project @ 2006-06-01 19:05:31 by jwe]
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diff changeset
174 z_set = 0;
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175
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176 ## Gather arguments, decode format, and plot lines.
5838
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177 for arg = 1:nargin
5837
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178 new = varargin{arg};
55404f3b0da1 [project @ 2006-06-01 19:05:31 by jwe]
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179
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180 if (ischar (new))
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181 if (! z_set)
5910
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diff changeset
182 if (! y_set)
101d966c8d6b [project @ 2006-07-28 03:40:22 by jwe]
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183 if (! x_set)
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184 error ("plot3: needs x, [ y, [ z ] ]");
101d966c8d6b [project @ 2006-07-28 03:40:22 by jwe]
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185 else
101d966c8d6b [project @ 2006-07-28 03:40:22 by jwe]
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186 z = imag (x);
101d966c8d6b [project @ 2006-07-28 03:40:22 by jwe]
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187 y = real (x);
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188 y_set = 1;
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189 z_set = 1;
101d966c8d6b [project @ 2006-07-28 03:40:22 by jwe]
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diff changeset
190 if (rows(x) > 1)
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191 x = repmat ((1:rows(x))', 1, columns(x));
101d966c8d6b [project @ 2006-07-28 03:40:22 by jwe]
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192 else
101d966c8d6b [project @ 2006-07-28 03:40:22 by jwe]
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193 x = 1:columns(x);
101d966c8d6b [project @ 2006-07-28 03:40:22 by jwe]
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diff changeset
194 endif
101d966c8d6b [project @ 2006-07-28 03:40:22 by jwe]
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parents: 5838
diff changeset
195 endif
101d966c8d6b [project @ 2006-07-28 03:40:22 by jwe]
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parents: 5838
diff changeset
196 else
101d966c8d6b [project @ 2006-07-28 03:40:22 by jwe]
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parents: 5838
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197 z = imag (y);
101d966c8d6b [project @ 2006-07-28 03:40:22 by jwe]
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198 y = real (y);
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199 z_set = 1;
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parents: 5838
diff changeset
200 endif
5837
55404f3b0da1 [project @ 2006-06-01 19:05:31 by jwe]
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diff changeset
201 endif
55404f3b0da1 [project @ 2006-06-01 19:05:31 by jwe]
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202 fmt = __pltopt__ ("plot3", new);
6004
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diff changeset
203
01556febbaaf [project @ 2006-09-26 21:16:52 by jwe]
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diff changeset
204 if (isvector (x) && isvector (y))
01556febbaaf [project @ 2006-09-26 21:16:52 by jwe]
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parents: 5910
diff changeset
205 if (isvector (z))
01556febbaaf [project @ 2006-09-26 21:16:52 by jwe]
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parents: 5910
diff changeset
206 x = x(:);
01556febbaaf [project @ 2006-09-26 21:16:52 by jwe]
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parents: 5910
diff changeset
207 y = y(:);
01556febbaaf [project @ 2006-09-26 21:16:52 by jwe]
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parents: 5910
diff changeset
208 z = z(:);
01556febbaaf [project @ 2006-09-26 21:16:52 by jwe]
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parents: 5910
diff changeset
209 elseif (length (x) == rows (z) && length (y) == columns (z))
01556febbaaf [project @ 2006-09-26 21:16:52 by jwe]
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diff changeset
210 error ("plot3: [length(x), length(y)] must match size(z)");
01556febbaaf [project @ 2006-09-26 21:16:52 by jwe]
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parents: 5910
diff changeset
211 else
01556febbaaf [project @ 2006-09-26 21:16:52 by jwe]
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diff changeset
212 [x, y] = meshgrid (x, y);
01556febbaaf [project @ 2006-09-26 21:16:52 by jwe]
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diff changeset
213 endif
01556febbaaf [project @ 2006-09-26 21:16:52 by jwe]
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parents: 5910
diff changeset
214 endif
01556febbaaf [project @ 2006-09-26 21:16:52 by jwe]
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215
01556febbaaf [project @ 2006-09-26 21:16:52 by jwe]
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diff changeset
216 if (any (size (x) != size (y)) || any (size (x) != size (z)))
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diff changeset
217 error ("plot3: x, y, and z must have the same shape");
01556febbaaf [project @ 2006-09-26 21:16:52 by jwe]
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parents: 5910
diff changeset
218 endif
01556febbaaf [project @ 2006-09-26 21:16:52 by jwe]
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219
01556febbaaf [project @ 2006-09-26 21:16:52 by jwe]
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diff changeset
220 unwind_protect
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221 __gnuplot_raw__ ("set nohidden3d;\n")
01556febbaaf [project @ 2006-09-26 21:16:52 by jwe]
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diff changeset
222 __gnuplot_set__ parametric;
01556febbaaf [project @ 2006-09-26 21:16:52 by jwe]
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223
01556febbaaf [project @ 2006-09-26 21:16:52 by jwe]
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diff changeset
224 __plt3__ ([([x; NaN*ones(1,size(x,2))])(:), ...
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225 ([y; NaN*ones(1,size(y,2))])(:), ...
6078
34b1758d3247 [project @ 2006-10-24 18:38:51 by jwe]
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226 ([z; NaN*ones(1,size(z,2))])(:)],
34b1758d3247 [project @ 2006-10-24 18:38:51 by jwe]
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diff changeset
227 "u($1):($2):($3)", fmt);
6004
01556febbaaf [project @ 2006-09-26 21:16:52 by jwe]
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diff changeset
228
01556febbaaf [project @ 2006-09-26 21:16:52 by jwe]
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diff changeset
229 unwind_protect_cleanup
01556febbaaf [project @ 2006-09-26 21:16:52 by jwe]
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diff changeset
230 __gnuplot_set__ noparametric;
01556febbaaf [project @ 2006-09-26 21:16:52 by jwe]
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diff changeset
231 end_unwind_protect
01556febbaaf [project @ 2006-09-26 21:16:52 by jwe]
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diff changeset
232
5910
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diff changeset
233 hold ("on");
5837
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diff changeset
234 x_set = 0;
55404f3b0da1 [project @ 2006-06-01 19:05:31 by jwe]
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diff changeset
235 y_set = 0;
55404f3b0da1 [project @ 2006-06-01 19:05:31 by jwe]
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diff changeset
236 z_set = 0;
5838
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diff changeset
237 elseif (! x_set)
5837
55404f3b0da1 [project @ 2006-06-01 19:05:31 by jwe]
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diff changeset
238 x = new;
55404f3b0da1 [project @ 2006-06-01 19:05:31 by jwe]
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diff changeset
239 x_set = 1;
5838
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diff changeset
240 elseif (! y_set)
5837
55404f3b0da1 [project @ 2006-06-01 19:05:31 by jwe]
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diff changeset
241 y = new;
55404f3b0da1 [project @ 2006-06-01 19:05:31 by jwe]
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diff changeset
242 y_set = 1;
5838
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parents: 5837
diff changeset
243 elseif (! z_set)
5837
55404f3b0da1 [project @ 2006-06-01 19:05:31 by jwe]
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diff changeset
244 z = new;
55404f3b0da1 [project @ 2006-06-01 19:05:31 by jwe]
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diff changeset
245 z_set = 1;
55404f3b0da1 [project @ 2006-06-01 19:05:31 by jwe]
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diff changeset
246 else
6004
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parents: 5910
diff changeset
247 if (isvector (x) && isvector (y))
01556febbaaf [project @ 2006-09-26 21:16:52 by jwe]
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parents: 5910
diff changeset
248 if (isvector (z))
01556febbaaf [project @ 2006-09-26 21:16:52 by jwe]
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parents: 5910
diff changeset
249 x = x(:);
01556febbaaf [project @ 2006-09-26 21:16:52 by jwe]
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parents: 5910
diff changeset
250 y = y(:);
01556febbaaf [project @ 2006-09-26 21:16:52 by jwe]
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parents: 5910
diff changeset
251 z = z(:);
01556febbaaf [project @ 2006-09-26 21:16:52 by jwe]
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parents: 5910
diff changeset
252 elseif (length (x) == rows (z) && length (y) == columns (z))
01556febbaaf [project @ 2006-09-26 21:16:52 by jwe]
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parents: 5910
diff changeset
253 error ("plot3: [length(x), length(y)] must match size(z)");
01556febbaaf [project @ 2006-09-26 21:16:52 by jwe]
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parents: 5910
diff changeset
254 else
01556febbaaf [project @ 2006-09-26 21:16:52 by jwe]
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parents: 5910
diff changeset
255 [x, y] = meshgrid (x, y);
01556febbaaf [project @ 2006-09-26 21:16:52 by jwe]
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parents: 5910
diff changeset
256 endif
01556febbaaf [project @ 2006-09-26 21:16:52 by jwe]
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parents: 5910
diff changeset
257 endif
01556febbaaf [project @ 2006-09-26 21:16:52 by jwe]
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parents: 5910
diff changeset
258
01556febbaaf [project @ 2006-09-26 21:16:52 by jwe]
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parents: 5910
diff changeset
259 if (any (size (x) != size (y)) || any (size (x) != size (z)))
01556febbaaf [project @ 2006-09-26 21:16:52 by jwe]
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parents: 5910
diff changeset
260 error ("plot3: x, y, and z must have the same shape");
01556febbaaf [project @ 2006-09-26 21:16:52 by jwe]
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parents: 5910
diff changeset
261 endif
01556febbaaf [project @ 2006-09-26 21:16:52 by jwe]
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parents: 5910
diff changeset
262
01556febbaaf [project @ 2006-09-26 21:16:52 by jwe]
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parents: 5910
diff changeset
263 unwind_protect
01556febbaaf [project @ 2006-09-26 21:16:52 by jwe]
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parents: 5910
diff changeset
264 __gnuplot_raw__ ("set nohidden3d;\n")
01556febbaaf [project @ 2006-09-26 21:16:52 by jwe]
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parents: 5910
diff changeset
265 __gnuplot_set__ parametric;
01556febbaaf [project @ 2006-09-26 21:16:52 by jwe]
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parents: 5910
diff changeset
266
01556febbaaf [project @ 2006-09-26 21:16:52 by jwe]
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parents: 5910
diff changeset
267 __plt3__ ([([x; NaN*ones(1,size(x,2))])(:), ...
01556febbaaf [project @ 2006-09-26 21:16:52 by jwe]
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parents: 5910
diff changeset
268 ([y; NaN*ones(1,size(y,2))])(:), ...
01556febbaaf [project @ 2006-09-26 21:16:52 by jwe]
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parents: 5910
diff changeset
269 ([z; NaN*ones(1,size(z,2))])(:)]);
01556febbaaf [project @ 2006-09-26 21:16:52 by jwe]
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parents: 5910
diff changeset
270
01556febbaaf [project @ 2006-09-26 21:16:52 by jwe]
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parents: 5910
diff changeset
271 unwind_protect_cleanup
01556febbaaf [project @ 2006-09-26 21:16:52 by jwe]
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parents: 5910
diff changeset
272 __gnuplot_set__ noparametric;
01556febbaaf [project @ 2006-09-26 21:16:52 by jwe]
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parents: 5910
diff changeset
273 end_unwind_protect
01556febbaaf [project @ 2006-09-26 21:16:52 by jwe]
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parents: 5910
diff changeset
274
5910
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diff changeset
275 hold ("on");
5837
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276 x = new;
55404f3b0da1 [project @ 2006-06-01 19:05:31 by jwe]
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diff changeset
277 y_set = 0;
55404f3b0da1 [project @ 2006-06-01 19:05:31 by jwe]
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diff changeset
278 z_set = 0;
55404f3b0da1 [project @ 2006-06-01 19:05:31 by jwe]
jwe
parents:
diff changeset
279 endif
55404f3b0da1 [project @ 2006-06-01 19:05:31 by jwe]
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diff changeset
280
55404f3b0da1 [project @ 2006-06-01 19:05:31 by jwe]
jwe
parents:
diff changeset
281 endfor
55404f3b0da1 [project @ 2006-06-01 19:05:31 by jwe]
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diff changeset
282
55404f3b0da1 [project @ 2006-06-01 19:05:31 by jwe]
jwe
parents:
diff changeset
283 ## Handle last plot.
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diff changeset
284
5910
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parents: 5838
diff changeset
285 if (x_set)
101d966c8d6b [project @ 2006-07-28 03:40:22 by jwe]
jwe
parents: 5838
diff changeset
286 if (y_set)
101d966c8d6b [project @ 2006-07-28 03:40:22 by jwe]
jwe
parents: 5838
diff changeset
287 if (! z_set)
101d966c8d6b [project @ 2006-07-28 03:40:22 by jwe]
jwe
parents: 5838
diff changeset
288 z = imag (y);
101d966c8d6b [project @ 2006-07-28 03:40:22 by jwe]
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parents: 5838
diff changeset
289 y = real (y);
101d966c8d6b [project @ 2006-07-28 03:40:22 by jwe]
jwe
parents: 5838
diff changeset
290 z_set = 1;
101d966c8d6b [project @ 2006-07-28 03:40:22 by jwe]
jwe
parents: 5838
diff changeset
291 endif
101d966c8d6b [project @ 2006-07-28 03:40:22 by jwe]
jwe
parents: 5838
diff changeset
292 else
101d966c8d6b [project @ 2006-07-28 03:40:22 by jwe]
jwe
parents: 5838
diff changeset
293 z = imag (x);
101d966c8d6b [project @ 2006-07-28 03:40:22 by jwe]
jwe
parents: 5838
diff changeset
294 y = real (x);
101d966c8d6b [project @ 2006-07-28 03:40:22 by jwe]
jwe
parents: 5838
diff changeset
295 y_set = 1;
101d966c8d6b [project @ 2006-07-28 03:40:22 by jwe]
jwe
parents: 5838
diff changeset
296 z_set = 1;
101d966c8d6b [project @ 2006-07-28 03:40:22 by jwe]
jwe
parents: 5838
diff changeset
297 if (rows (x) > 1)
101d966c8d6b [project @ 2006-07-28 03:40:22 by jwe]
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parents: 5838
diff changeset
298 x = repmat ((1:rows (x))', 1, columns(x));
101d966c8d6b [project @ 2006-07-28 03:40:22 by jwe]
jwe
parents: 5838
diff changeset
299 else
101d966c8d6b [project @ 2006-07-28 03:40:22 by jwe]
jwe
parents: 5838
diff changeset
300 x = 1:columns(x);
101d966c8d6b [project @ 2006-07-28 03:40:22 by jwe]
jwe
parents: 5838
diff changeset
301 endif
101d966c8d6b [project @ 2006-07-28 03:40:22 by jwe]
jwe
parents: 5838
diff changeset
302 endif
6004
01556febbaaf [project @ 2006-09-26 21:16:52 by jwe]
jwe
parents: 5910
diff changeset
303
01556febbaaf [project @ 2006-09-26 21:16:52 by jwe]
jwe
parents: 5910
diff changeset
304 if (isvector (x) && isvector (y))
01556febbaaf [project @ 2006-09-26 21:16:52 by jwe]
jwe
parents: 5910
diff changeset
305 if (isvector (z))
01556febbaaf [project @ 2006-09-26 21:16:52 by jwe]
jwe
parents: 5910
diff changeset
306 x = x(:);
01556febbaaf [project @ 2006-09-26 21:16:52 by jwe]
jwe
parents: 5910
diff changeset
307 y = y(:);
01556febbaaf [project @ 2006-09-26 21:16:52 by jwe]
jwe
parents: 5910
diff changeset
308 z = z(:);
01556febbaaf [project @ 2006-09-26 21:16:52 by jwe]
jwe
parents: 5910
diff changeset
309 elseif (length (x) == rows (z) && length (y) == columns (z))
01556febbaaf [project @ 2006-09-26 21:16:52 by jwe]
jwe
parents: 5910
diff changeset
310 error ("plot3: [length(x), length(y)] must match size(z)");
01556febbaaf [project @ 2006-09-26 21:16:52 by jwe]
jwe
parents: 5910
diff changeset
311 else
01556febbaaf [project @ 2006-09-26 21:16:52 by jwe]
jwe
parents: 5910
diff changeset
312 [x, y] = meshgrid (x, y);
01556febbaaf [project @ 2006-09-26 21:16:52 by jwe]
jwe
parents: 5910
diff changeset
313 endif
01556febbaaf [project @ 2006-09-26 21:16:52 by jwe]
jwe
parents: 5910
diff changeset
314 endif
01556febbaaf [project @ 2006-09-26 21:16:52 by jwe]
jwe
parents: 5910
diff changeset
315
01556febbaaf [project @ 2006-09-26 21:16:52 by jwe]
jwe
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316 if (any (size (x) != size (y)) || any (size (x) != size (z)))
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317 error ("plot3: x, y, and z must have the same shape");
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318 endif
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319
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320 unwind_protect
01556febbaaf [project @ 2006-09-26 21:16:52 by jwe]
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321 __gnuplot_raw__ ("set nohidden3d;\n")
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322 __gnuplot_set__ parametric;
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323
01556febbaaf [project @ 2006-09-26 21:16:52 by jwe]
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324 __plt3__ ([([x; NaN*ones(1,size(x,2))])(:), ...
01556febbaaf [project @ 2006-09-26 21:16:52 by jwe]
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325 ([y; NaN*ones(1,size(y,2))])(:), ...
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326 ([z; NaN*ones(1,size(z,2))])(:)]);
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327 unwind_protect_cleanup
01556febbaaf [project @ 2006-09-26 21:16:52 by jwe]
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328 __gnuplot_set__ noparametric;
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329 end_unwind_protect
5837
55404f3b0da1 [project @ 2006-06-01 19:05:31 by jwe]
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330 endif
55404f3b0da1 [project @ 2006-06-01 19:05:31 by jwe]
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331
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332 unwind_protect_cleanup
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333
55404f3b0da1 [project @ 2006-06-01 19:05:31 by jwe]
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334 if (! hold_state)
5910
101d966c8d6b [project @ 2006-07-28 03:40:22 by jwe]
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diff changeset
335 hold ("off");
5837
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336 endif
55404f3b0da1 [project @ 2006-06-01 19:05:31 by jwe]
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337
55404f3b0da1 [project @ 2006-06-01 19:05:31 by jwe]
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338 end_unwind_protect
55404f3b0da1 [project @ 2006-06-01 19:05:31 by jwe]
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339
55404f3b0da1 [project @ 2006-06-01 19:05:31 by jwe]
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340 endfunction