Mercurial > hg > octave-lyh
annotate scripts/plot/fplot.m @ 17039:854cfc72c64f
patch.m: Update to use new __plt_get_axis_arg__.
* scripts/plot/patch.m: Update to use new __plt_get_axis_arg__.
author | Pantxo Diribarne <pantxo.diribarne@gmail.com> |
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date | Mon, 22 Jul 2013 23:08:14 +0200 |
parents | be52288f827b |
children | eaab03308c0b |
rev | line source |
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maint: update copyright notices for 2012
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1 ## Copyright (C) 2005-2012 Paul Kienzle |
5820 | 2 ## |
3 ## This file is part of Octave. | |
4 ## | |
5 ## Octave is free software; you can redistribute it and/or modify it | |
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. | |
5820 | 9 ## |
10 ## Octave is distributed in the hope that it will be useful, but | |
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/>. | |
5820 | 18 |
19 ## -*- texinfo -*- | |
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20 ## @deftypefn {Function File} {} fplot (@var{fn}, @var{limits}) |
6781 | 21 ## @deftypefnx {Function File} {} fplot (@var{fn}, @var{limits}, @var{tol}) |
5820 | 22 ## @deftypefnx {Function File} {} fplot (@var{fn}, @var{limits}, @var{n}) |
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23 ## @deftypefnx {Function File} {} fplot (@var{fn}, @var{limits}, @var{fmt}) |
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24 ## @deftypefnx {Function File} {} fplot (@var{fn}, @var{limits}, @var{tol}, @var{n}, @var{fmt}) |
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25 ## @deftypefnx {Function File} {[@var{x}, @var{y}] =} fplot (@dots{}) |
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26 ## Plot a function @var{fn} within the range defined by @var{limits}. |
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27 ## |
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28 ## @var{fn} is a function handle, inline function, or string |
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29 ## containing the name of the function to evaluate. |
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30 ## The limits of the plot are of the form @code{[@var{xlo}, @var{xhi}]} or |
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31 ## @code{[@var{xlo}, @var{xhi}, @var{ylo}, @var{yhi}]}. |
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32 ## The next three arguments are all optional and any number of them may be |
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33 ## given in any order. |
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34 ## @var{tol} is the relative tolerance to use for the plot and defaults |
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35 ## to 2e-3 (.2%). |
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36 ## @var{n} is the minimum number of of points to use. When @var{n} is |
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37 ## specified, the maximum stepsize will be |
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38 ## @code{@var{xhi} - @var{xlo} / @var{n}}. More than @var{n} points may still |
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39 ## be used in order to meet the relative tolerance requirement. |
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40 ## The @var{fmt} argument specifies the linestyle to be used by the plot |
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41 ## command. |
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42 ## |
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43 ## With no output arguments the results are immediately plotted. With two |
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44 ## output arguments the 2-D plot data is returned. The data can subsequently |
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45 ## be plotted manually with @code{plot (@var{x}, @var{y})}. |
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46 ## |
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47 ## Example: |
5820 | 48 ## |
49 ## @example | |
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50 ## @group |
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51 ## fplot (@@cos, [0, 2*pi]) |
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52 ## fplot ("[cos(x), sin(x)]", [0, 2*pi]) |
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53 ## @end group |
5820 | 54 ## @end example |
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55 ## |
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56 ## Note: @code{fplot} works best with continuous functions. Functions with |
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57 ## discontinuities are unlikely to plot well. This restriction may be |
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58 ## removed in the future. |
6781 | 59 ## @seealso{plot} |
5820 | 60 ## @end deftypefn |
61 | |
7017 | 62 ## Author: Paul Kienzle <pkienzle@users.sf.net> |
63 | |
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64 function [X, Y] = fplot (fn, limits, varargin) |
5820 | 65 |
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66 if (nargin < 2 || nargin > 5) |
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67 print_usage (); |
6781 | 68 endif |
69 | |
6699 | 70 if (strcmp (typeinfo (fn), "inline function")) |
71 fn = vectorize (fn); | |
72 nam = formula (fn); | |
73 elseif (isa (fn, "function_handle")) | |
74 nam = func2str (fn); | |
5820 | 75 elseif (all (isalnum (fn))) |
6781 | 76 nam = fn; |
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77 elseif (ischar (fn)) |
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78 fn = vectorize (inline (fn)); |
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79 nam = formula (fn); |
5820 | 80 else |
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81 error ("fplot: FN must be a function handle, inline function, or string"); |
6781 | 82 endif |
83 | |
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84 if (iscomplex (limits) || (numel (limits) != 2 && numel (limits) != 4)) |
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85 error ("fplot: LIMITS must be a real vector with 2 or 4 elements"); |
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86 endif |
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87 |
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88 n = 5; |
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89 tol = 2e-3; |
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90 fmt = ""; |
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91 for i = 1:numel (varargin) |
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92 arg = varargin{i}; |
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93 if (ischar (arg)) |
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94 fmt = arg; |
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95 elseif (isnumeric (arg) && isscalar (arg) && arg > 0) |
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96 if (arg == fix (arg)) |
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97 n = arg; |
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98 else |
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99 tol = arg; |
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100 endif |
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101 else |
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102 error ("fplot: bad input in position %d", i+2); |
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103 endif |
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104 endfor |
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105 |
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106 if (n != 5) |
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107 ## n was specified |
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108 x0 = linspace (limits(1), limits(2), n/2 + 1)'; |
6781 | 109 y0 = feval (fn, x0); |
110 x = linspace (limits(1), limits(2), n)'; | |
111 y = feval (fn, x); | |
112 else | |
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113 x0 = linspace (limits(1), limits(2), 5)'; |
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114 y0 = feval (fn, x0); |
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115 n = 8; |
6781 | 116 x = linspace (limits(1), limits(2), n)'; |
117 y = feval (fn, x); | |
5820 | 118 endif |
119 | |
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120 if (rows (x0) != rows (y0)) |
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121 ## FN is a constant value function |
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122 y0 = repmat (y0, size (x0)); |
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123 y = repmat (y, size (x)); |
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124 endif |
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125 |
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126 err0 = Inf; |
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127 |
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128 ## FIXME: This algorithm should really use adaptive scaling as the |
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129 ## the numerical quadrature algorithms do so that extra points are |
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130 ## used where they are needed and not spread evenly over the entire |
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131 ## x-range. Try any function with a discontinuity such as |
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132 ## fplot (@tan, [-2, 2]) or fplot ("1./x", [-3, 2]) to see the |
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133 ## problems with the current solution. |
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134 |
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135 while (n < 2^18) # Something is wrong if we need more than 250K points |
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136 yi = interp1 (x0, y0, x, "linear"); |
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137 ## relative error calculation using average of [yi,y] as reference |
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138 ## since neither estimate is known a priori to be better than the other. |
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139 err = 0.5 * max (abs ((yi - y) ./ (yi + y))(:)); |
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140 if (err < tol || abs (err - err0) < tol/2) |
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141 ## Either relative tolerance has been met OR |
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142 ## algorithm has stopped making any reasonable progress per iteration. |
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143 break; |
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144 endif |
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145 x0 = x; |
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146 y0 = y; |
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147 err0 = err; |
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148 n = 2 * (n - 1) + 1; |
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149 x = linspace (limits(1), limits(2), n)'; |
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150 y = feval (fn, x); |
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151 endwhile |
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152 |
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153 if (nargout == 2) |
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154 X = x; |
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155 Y = y; |
6781 | 156 else |
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157 plot (x, y, fmt); |
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158 axis (limits); |
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159 if (isvector (y)) |
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160 legend (nam); |
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161 else |
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162 for i = 1:columns (y) |
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163 nams{i} = sprintf ("%s(:,%i)", nam, i); |
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164 endfor |
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165 legend (nams{:}); |
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166 endif |
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168 |
5820 | 169 endfunction |
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171 | |
172 %!demo | |
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173 %! clf; |
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174 %! fplot (@cos, [0, 2*pi]); |
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175 |
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176 %!demo |
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177 %! clf; |
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178 %! fplot ('[cos(x), sin(x)]', [0, 2*pi]); |
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179 |
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180 %!demo |
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181 %! clf; |
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182 %! ## sinc function |
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183 %! fh = @(x) sin (pi*x) ./ (pi*x); |
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184 %! fplot (fh, [-5, 5]); |
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185 |
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186 %!test |
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187 %! [x, y] = fplot ("[cos(x), sin(x)]", [0, 2*pi]); |
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188 %! assert (columns (y) == 2); |
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189 %! assert (rows (x) == rows (y)); |
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190 %! assert (y, [cos(x), sin(x)], -2e-3); |
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191 |
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192 %% Test input validation |
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193 %!error fplot (1) |
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194 %!error fplot (1,2,3,4,5,6) |
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195 %!error <FN must be a function handle> fplot (1, [0 1]) |
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196 %!error <LIMITS must be a real vector> fplot (@cos, [i, 2*i]) |
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197 %!error <LIMITS must be a real vector with 2 or 4> fplot (@cos, [1]) |
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198 %!error <LIMITS must be a real vector with 2 or 4> fplot (@cos, [1 2 3]) |
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199 %!error <bad input in position 3> fplot (@cos,[-1,1], {1}) |
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200 |