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annotate scripts/plot/draw/fplot.m @ 18775:37c300acfcfd stable

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don't truncate when casting char to uintN values (bug #42054) * oct-inttypes.h (octave_int<T>::octave_int (char)): New special case constructor. * oct-inttypes.cc: New tests.
author John W. Eaton <jwe@octave.org>
date Sat, 05 Apr 2014 15:09:09 -0400
parents d63878346099
children 6fdd3ab55b78
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d63878346099 maint: Update copyright notices for release.
John W. Eaton <jwe@octave.org>
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1 ## Copyright (C) 2005-2013 Paul Kienzle
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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} {} fplot (@var{fn}, @var{limits})
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21 ## @deftypefnx {Function File} {} fplot (@dots{}, @var{tol})
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22 ## @deftypefnx {Function File} {} fplot (@dots{}, @var{n})
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23 ## @deftypefnx {Function File} {} fplot (@dots{}, @var{fmt})
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24 ## @deftypefnx {Function File} {[@var{x}, @var{y}] =} fplot (@dots{})
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25 ## Plot a function @var{fn} within the range defined by @var{limits}.
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26 ##
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27 ## @var{fn} is a function handle, inline function, or string containing the
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28 ## name of the function to evaluate.
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29 ##
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30 ## The limits of the plot are of the form @w{@code{[@var{xlo}, @var{xhi}]}} or
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31 ## @w{@code{[@var{xlo}, @var{xhi}, @var{ylo}, @var{yhi}]}}.
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32 ##
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33 ## The next three arguments are all optional and any number of them may be
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34 ## given in any order.
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35 ##
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36 ## @var{tol} is the relative tolerance to use for the plot and defaults
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37 ## to 2e-3 (.2%).
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38 ##
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39 ## @var{n} is the minimum number of points to use. When @var{n} is specified,
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40 ## the maximum stepsize will be @code{@var{xhi} - @var{xlo} / @var{n}}. More
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41 ## than @var{n} points may still be used in order to meet the relative
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42 ## tolerance requirement.
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43 ##
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44 ## The @var{fmt} argument specifies the linestyle to be used by the plot
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45 ## command.
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46 ##
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47 ## If the first argument @var{hax} is an axes handle, then plot into this axis,
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48 ## rather than the current axes returned by @code{gca}.
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49 ##
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50 ## With no output arguments the results are immediately plotted. With two
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51 ## output arguments the 2-D plot data is returned. The data can subsequently
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52 ## be plotted manually with @code{plot (@var{x}, @var{y})}.
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53 ##
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54 ## Example:
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55 ##
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56 ## @example
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57 ## @group
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58 ## fplot (@@cos, [0, 2*pi])
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59 ## fplot ("[cos(x), sin(x)]", [0, 2*pi])
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60 ## @end group
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61 ## @end example
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62 ##
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63 ## Note: @code{fplot} works best with continuous functions. Functions with
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64 ## discontinuities are unlikely to plot well. This restriction may be removed
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65 ## in the future.
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66 ## @seealso{ezplot, plot}
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67 ## @end deftypefn
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68
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69 ## Author: Paul Kienzle <pkienzle@users.sf.net>
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70
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71 function [X, Y] = fplot (varargin)
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72
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73 [hax, varargin, nargin] = __plt_get_axis_arg__ ("fplot", varargin{:});
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74
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75 if (nargin < 2 || nargin > 5)
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76 print_usage ();
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77 endif
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78
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79 fn = varargin{1};
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80 limits = varargin{2};
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81 varargin = varargin(3:end);
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82
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83 if (strcmp (typeinfo (fn), "inline function"))
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84 fn = vectorize (fn);
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85 nam = formula (fn);
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86 elseif (isa (fn, "function_handle"))
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87 nam = func2str (fn);
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88 elseif (all (isalnum (fn)))
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89 nam = fn;
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90 elseif (ischar (fn))
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91 fn = vectorize (inline (fn));
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92 nam = formula (fn);
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93 else
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94 error ("fplot: FN must be a function handle, inline function, or string");
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95 endif
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96
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97 if (iscomplex (limits) || (numel (limits) != 2 && numel (limits) != 4))
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98 error ("fplot: LIMITS must be a real vector with 2 or 4 elements");
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99 endif
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100
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101 n = 5;
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102 tol = 2e-3;
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103 fmt = "";
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104 for i = 1:numel (varargin)
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105 arg = varargin{i};
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106 if (ischar (arg))
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107 fmt = arg;
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108 elseif (isnumeric (arg) && isscalar (arg) && arg > 0)
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109 if (arg == fix (arg))
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110 n = arg;
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111 else
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112 tol = arg;
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113 endif
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114 else
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115 error ("fplot: bad input in position %d", i+2);
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116 endif
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117 endfor
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118
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119 if (n != 5)
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120 ## n was specified
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121 x0 = linspace (limits(1), limits(2), n/2 + 1)';
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122 y0 = feval (fn, x0);
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123 x = linspace (limits(1), limits(2), n)';
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124 y = feval (fn, x);
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125 else
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126 x0 = linspace (limits(1), limits(2), 5)';
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127 y0 = feval (fn, x0);
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128 n = 8;
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129 x = linspace (limits(1), limits(2), n)';
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130 y = feval (fn, x);
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131 endif
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132
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133 if (rows (x0) != rows (y0))
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134 ## FN is a constant value function
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135 y0 = repmat (y0, size (x0));
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136 y = repmat (y, size (x));
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137 endif
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138
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139 err0 = Inf;
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140
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141 ## FIXME: This algorithm should really use adaptive scaling as the
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142 ## the numerical quadrature algorithms do so that extra points are
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143 ## used where they are needed and not spread evenly over the entire
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144 ## x-range. Try any function with a discontinuity, such as
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145 ## fplot (@tan, [-2, 2]) or fplot ("1./x", [-3, 2]), to see the
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146 ## problems with the current solution.
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147
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148 while (n < 2^18) # Something is wrong if we need more than 250K points
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149 yi = interp1 (x0, y0, x, "linear")
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150 ## relative error calculation using average of [yi,y] as reference
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151 ## since neither estimate is known a priori to be better than the other.
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152 err = 0.5 * max (abs ((yi - y) ./ (yi + y))(:))
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153 if (err < tol || abs (err - err0) < tol/2)
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154 ## Either relative tolerance has been met OR
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155 ## algorithm has stopped making any reasonable progress per iteration.
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156 break;
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157 endif
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158 x0 = x;
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159 y0 = y;
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160 err0 = err;
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161 n = 2 * (n - 1) + 1;
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162 x = linspace (limits(1), limits(2), n)';
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163 y = feval (fn, x);
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164 endwhile
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165
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166 if (nargout == 2)
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167 X = x;
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168 Y = y;
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169 else
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170 if (isempty (hax))
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171 hax = gca ();
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172 endif
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173 plot (hax, x, y, fmt);
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174 axis (hax, limits);
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175 if (isvector (y))
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176 legend (hax, nam);
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177 else
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178 for i = 1:columns (y)
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179 nams{i} = sprintf ("%s(:,%i)", nam, i);
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180 endfor
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181 legend (hax, nams{:});
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182 endif
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183 endif
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184
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185 endfunction
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186
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187
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188 %!demo
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189 %! clf;
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190 %! fplot (@cos, [0, 2*pi]);
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191 %! title ('fplot() single function');
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192
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193 %!demo
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194 %! clf;
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195 %! fplot ('[cos(x), sin(x)]', [0, 2*pi]);
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196 %! title ('fplot() multiple functions');
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197
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198 %!demo
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199 %! clf;
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200 %! %% sinc function
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201 %! fh = @(x) sin (pi*x) ./ (pi*x);
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202 %! fplot (fh, [-5, 5]);
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203 %! title ('fplot() sinc function');
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204
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205 %!test
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206 %! [x, y] = fplot ("[cos(x), sin(x)]", [0, 2*pi]);
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207 %! assert (columns (y) == 2);
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208 %! assert (rows (x) == rows (y));
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209 %! assert (y, [cos(x), sin(x)], -2e-3);
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210
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211 %% Test input validation
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212 %!error fplot (1)
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213 %!error fplot (1,2,3,4,5,6)
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214 %!error <FN must be a function handle> fplot (1, [0 1])
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215 %!error <LIMITS must be a real vector> fplot (@cos, [i, 2*i])
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216 %!error <LIMITS must be a real vector with 2 or 4> fplot (@cos, [1])
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217 %!error <LIMITS must be a real vector with 2 or 4> fplot (@cos, [1 2 3])
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218 %!error <bad input in position 3> fplot (@cos,[-1,1], {1})
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219