octave: scripts/plot/fplot.m annotate

annotate scripts/plot/fplot.m @ 16950:b34202b24212

fplot.m: Overhaul function for Matlab compatibility and performance (bug #38961). * scripts/plot/fplot.m: Add ability to specify n,tol,fmt in any order and simultaneously. Return data rather than plotting it if asked. Use additional test on progress of algorithm to decide whether to quit. Add %!demo and %!tests.

author	Rik <rik@octave.org>
date	Thu, 11 Jul 2013 09:25:54 -0700
parents	5ec3f4aea91c
children	a7c9be4a2c0f

rev	line source
14138 72c96de7a403 maint: update copyright notices for 2012 John W. Eaton <jwe@octave.org> parents: 14092 diff changeset	1 ## Copyright (C) 2005-2012 Paul Kienzle
5820 27c966e4b2dc [project @ 2006-05-17 21:00:54 by jwe] jwe parents: diff changeset	2 ##
27c966e4b2dc [project @ 2006-05-17 21:00:54 by jwe] jwe parents: diff changeset	3 ## This file is part of Octave.
27c966e4b2dc [project @ 2006-05-17 21:00:54 by jwe] jwe parents: diff changeset	4 ##
27c966e4b2dc [project @ 2006-05-17 21:00:54 by jwe] jwe parents: diff changeset	5 ## Octave is free software; you can redistribute it and/or modify it
27c966e4b2dc [project @ 2006-05-17 21:00:54 by jwe] jwe parents: diff changeset	6 ## under the terms of the GNU General Public License as published by
7016 93c65f2a5668 [project @ 2007-10-12 06:40:56 by jwe] jwe parents: 6895 diff changeset	7 ## the Free Software Foundation; either version 3 of the License, or (at
93c65f2a5668 [project @ 2007-10-12 06:40:56 by jwe] jwe parents: 6895 diff changeset	8 ## your option) any later version.
5820 27c966e4b2dc [project @ 2006-05-17 21:00:54 by jwe] jwe parents: diff changeset	9 ##
27c966e4b2dc [project @ 2006-05-17 21:00:54 by jwe] jwe parents: diff changeset	10 ## Octave is distributed in the hope that it will be useful, but
27c966e4b2dc [project @ 2006-05-17 21:00:54 by jwe] jwe parents: diff changeset	11 ## WITHOUT ANY WARRANTY; without even the implied warranty of
27c966e4b2dc [project @ 2006-05-17 21:00:54 by jwe] jwe parents: diff changeset	12 ## MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
27c966e4b2dc [project @ 2006-05-17 21:00:54 by jwe] jwe parents: diff changeset	13 ## General Public License for more details.
27c966e4b2dc [project @ 2006-05-17 21:00:54 by jwe] jwe parents: diff changeset	14 ##
27c966e4b2dc [project @ 2006-05-17 21:00:54 by jwe] jwe parents: diff changeset	15 ## You should have received a copy of the GNU General Public License
7016 93c65f2a5668 [project @ 2007-10-12 06:40:56 by jwe] jwe parents: 6895 diff changeset	16 ## along with Octave; see the file COPYING. If not, see
93c65f2a5668 [project @ 2007-10-12 06:40:56 by jwe] jwe parents: 6895 diff changeset	17 ## <http://www.gnu.org/licenses/>.
5820 27c966e4b2dc [project @ 2006-05-17 21:00:54 by jwe] jwe parents: diff changeset	18
27c966e4b2dc [project @ 2006-05-17 21:00:54 by jwe] jwe parents: diff changeset	19 ## -- texinfo --
10793 be55736a0783 Grammarcheck the documentation from m-files. Rik <octave@nomad.inbox5.com> parents: 10549 diff changeset	20 ## @deftypefn {Function File} {} fplot (@var{fn}, @var{limits})
6781 3058060c560f [project @ 2007-07-19 08:07:31 by dbateman] dbateman parents: 6699 diff changeset	21 ## @deftypefnx {Function File} {} fplot (@var{fn}, @var{limits}, @var{tol})
5820 27c966e4b2dc [project @ 2006-05-17 21:00:54 by jwe] jwe parents: diff changeset	22 ## @deftypefnx {Function File} {} fplot (@var{fn}, @var{limits}, @var{n})
16950 b34202b24212 fplot.m: Overhaul function for Matlab compatibility and performance (bug #38961). Rik <rik@octave.org> parents: 16775 diff changeset	23 ## @deftypefnx {Function File} {} fplot (@var{fn}, @var{limits}, @var{fmt})
b34202b24212 fplot.m: Overhaul function for Matlab compatibility and performance (bug #38961). Rik <rik@octave.org> parents: 16775 diff changeset	24 ## @deftypefnx {Function File} {} fplot (@var{fn}, @var{limits}, @var{tol}, @var{n}, @var{fmt})
b34202b24212 fplot.m: Overhaul function for Matlab compatibility and performance (bug #38961). Rik <rik@octave.org> parents: 16775 diff changeset	25 ## @deftypefnx {Function File} {[@var{x}, @var{y}] =} fplot (@dots{})
b34202b24212 fplot.m: Overhaul function for Matlab compatibility and performance (bug #38961). Rik <rik@octave.org> parents: 16775 diff changeset	26 ## Plot a function @var{fn} within the range defined by @var{limits}.
b34202b24212 fplot.m: Overhaul function for Matlab compatibility and performance (bug #38961). Rik <rik@octave.org> parents: 16775 diff changeset	27 ##
12632 2dbac27e0e40 doc: miscellaneous touch-ups to documentation strings Rik <octave@nomad.inbox5.com> parents: 11587 diff changeset	28 ## @var{fn} is a function handle, inline function, or string
2dbac27e0e40 doc: miscellaneous touch-ups to documentation strings Rik <octave@nomad.inbox5.com> parents: 11587 diff changeset	29 ## containing the name of the function to evaluate.
16950 b34202b24212 fplot.m: Overhaul function for Matlab compatibility and performance (bug #38961). Rik <rik@octave.org> parents: 16775 diff changeset	30 ## The limits of the plot are of the form @code{[@var{xlo}, @var{xhi}]} or
b34202b24212 fplot.m: Overhaul function for Matlab compatibility and performance (bug #38961). Rik <rik@octave.org> parents: 16775 diff changeset	31 ## @code{[@var{xlo}, @var{xhi}, @var{ylo}, @var{yhi}]}.
b34202b24212 fplot.m: Overhaul function for Matlab compatibility and performance (bug #38961). Rik <rik@octave.org> parents: 16775 diff changeset	32 ## The next three arguments are all optional and any number of them may be
b34202b24212 fplot.m: Overhaul function for Matlab compatibility and performance (bug #38961). Rik <rik@octave.org> parents: 16775 diff changeset	33 ## given in any order.
b34202b24212 fplot.m: Overhaul function for Matlab compatibility and performance (bug #38961). Rik <rik@octave.org> parents: 16775 diff changeset	34 ## @var{tol} is the relative tolerance to use for the plot and defaults
b34202b24212 fplot.m: Overhaul function for Matlab compatibility and performance (bug #38961). Rik <rik@octave.org> parents: 16775 diff changeset	35 ## to 2e-3 (.2%).
b34202b24212 fplot.m: Overhaul function for Matlab compatibility and performance (bug #38961). Rik <rik@octave.org> parents: 16775 diff changeset	36 ## @var{n} is the minimum number of of points to use. When @var{n} is
b34202b24212 fplot.m: Overhaul function for Matlab compatibility and performance (bug #38961). Rik <rik@octave.org> parents: 16775 diff changeset	37 ## specified, the maximum stepsize will be
b34202b24212 fplot.m: Overhaul function for Matlab compatibility and performance (bug #38961). Rik <rik@octave.org> parents: 16775 diff changeset	38 ## @code{@var{xhi} - @var{xlo} / @var{n}}. More than @var{n} points may still
b34202b24212 fplot.m: Overhaul function for Matlab compatibility and performance (bug #38961). Rik <rik@octave.org> parents: 16775 diff changeset	39 ## be used in order to meet the relative tolerance requirement.
b34202b24212 fplot.m: Overhaul function for Matlab compatibility and performance (bug #38961). Rik <rik@octave.org> parents: 16775 diff changeset	40 ## The @var{fmt} argument specifies the linestyle to be used by the plot
b34202b24212 fplot.m: Overhaul function for Matlab compatibility and performance (bug #38961). Rik <rik@octave.org> parents: 16775 diff changeset	41 ## command.
b34202b24212 fplot.m: Overhaul function for Matlab compatibility and performance (bug #38961). Rik <rik@octave.org> parents: 16775 diff changeset	42 ##
b34202b24212 fplot.m: Overhaul function for Matlab compatibility and performance (bug #38961). Rik <rik@octave.org> parents: 16775 diff changeset	43 ## With no output arguments the results are immediately plotted. With two
b34202b24212 fplot.m: Overhaul function for Matlab compatibility and performance (bug #38961). Rik <rik@octave.org> parents: 16775 diff changeset	44 ## output arguments the 2-D plot data is returned. The data can subsequently
b34202b24212 fplot.m: Overhaul function for Matlab compatibility and performance (bug #38961). Rik <rik@octave.org> parents: 16775 diff changeset	45 ## be plotted manually with @code{plot (@var{x}, @var{y}).
b34202b24212 fplot.m: Overhaul function for Matlab compatibility and performance (bug #38961). Rik <rik@octave.org> parents: 16775 diff changeset	46 ##
b34202b24212 fplot.m: Overhaul function for Matlab compatibility and performance (bug #38961). Rik <rik@octave.org> parents: 16775 diff changeset	47 ## Example:
5820 27c966e4b2dc [project @ 2006-05-17 21:00:54 by jwe] jwe parents: diff changeset	48 ##
27c966e4b2dc [project @ 2006-05-17 21:00:54 by jwe] jwe parents: diff changeset	49 ## @example
9051 1bf0ce0930be Grammar check TexInfo in all .m files Rik <rdrider0-list@yahoo.com> parents: 9040 diff changeset	50 ## @group
16950 b34202b24212 fplot.m: Overhaul function for Matlab compatibility and performance (bug #38961). Rik <rik@octave.org> parents: 16775 diff changeset	51 ## fplot (@cos, [0, 2*pi])
14327 4d917a6a858b doc: Use Octave coding conventions in @example blocks of docstrings. Rik <octave@nomad.inbox5.com> parents: 14138 diff changeset	52 ## fplot ("[cos(x), sin(x)]", [0, 2*pi])
9051 1bf0ce0930be Grammar check TexInfo in all .m files Rik <rdrider0-list@yahoo.com> parents: 9040 diff changeset	53 ## @end group
5820 27c966e4b2dc [project @ 2006-05-17 21:00:54 by jwe] jwe parents: diff changeset	54 ## @end example
16950 b34202b24212 fplot.m: Overhaul function for Matlab compatibility and performance (bug #38961). Rik <rik@octave.org> parents: 16775 diff changeset	55 ##
b34202b24212 fplot.m: Overhaul function for Matlab compatibility and performance (bug #38961). Rik <rik@octave.org> parents: 16775 diff changeset	56 ## Note: @code{fplot} works best with continuous functions. Functions with
b34202b24212 fplot.m: Overhaul function for Matlab compatibility and performance (bug #38961). Rik <rik@octave.org> parents: 16775 diff changeset	57 ## discontinuities are unlikely to plot well. This restriction may be
b34202b24212 fplot.m: Overhaul function for Matlab compatibility and performance (bug #38961). Rik <rik@octave.org> parents: 16775 diff changeset	58 ## removed in the future.
6781 3058060c560f [project @ 2007-07-19 08:07:31 by dbateman] dbateman parents: 6699 diff changeset	59 ## @seealso{plot}
5820 27c966e4b2dc [project @ 2006-05-17 21:00:54 by jwe] jwe parents: diff changeset	60 ## @end deftypefn
27c966e4b2dc [project @ 2006-05-17 21:00:54 by jwe] jwe parents: diff changeset	61
7017 a1dbe9d80eee [project @ 2007-10-12 21:27:11 by jwe] jwe parents: 7016 diff changeset	62 ## Author: Paul Kienzle <pkienzle@users.sf.net>
a1dbe9d80eee [project @ 2007-10-12 21:27:11 by jwe] jwe parents: 7016 diff changeset	63
16950 b34202b24212 fplot.m: Overhaul function for Matlab compatibility and performance (bug #38961). Rik <rik@octave.org> parents: 16775 diff changeset	64 function [X, Y] = fplot (fn, limits, varargin)
5820 27c966e4b2dc [project @ 2006-05-17 21:00:54 by jwe] jwe parents: diff changeset	65
16950 b34202b24212 fplot.m: Overhaul function for Matlab compatibility and performance (bug #38961). Rik <rik@octave.org> parents: 16775 diff changeset	66 if (nargin < 2 \|\| nargin > 5)
b34202b24212 fplot.m: Overhaul function for Matlab compatibility and performance (bug #38961). Rik <rik@octave.org> parents: 16775 diff changeset	67 print_usage ();
6781 3058060c560f [project @ 2007-07-19 08:07:31 by dbateman] dbateman parents: 6699 diff changeset	68 endif
3058060c560f [project @ 2007-07-19 08:07:31 by dbateman] dbateman parents: 6699 diff changeset	69
6699 3f4ccca05612 [project @ 2007-06-12 20:48:02 by jwe] jwe parents: 6220 diff changeset	70 if (strcmp (typeinfo (fn), "inline function"))
3f4ccca05612 [project @ 2007-06-12 20:48:02 by jwe] jwe parents: 6220 diff changeset	71 fn = vectorize (fn);
3f4ccca05612 [project @ 2007-06-12 20:48:02 by jwe] jwe parents: 6220 diff changeset	72 nam = formula (fn);
3f4ccca05612 [project @ 2007-06-12 20:48:02 by jwe] jwe parents: 6220 diff changeset	73 elseif (isa (fn, "function_handle"))
3f4ccca05612 [project @ 2007-06-12 20:48:02 by jwe] jwe parents: 6220 diff changeset	74 nam = func2str (fn);
5820 27c966e4b2dc [project @ 2006-05-17 21:00:54 by jwe] jwe parents: diff changeset	75 elseif (all (isalnum (fn)))
6781 3058060c560f [project @ 2007-07-19 08:07:31 by dbateman] dbateman parents: 6699 diff changeset	76 nam = fn;
10400 b14fd5116c29 Ensure that 'limits' is a 2 or 4 vector, and that 'fn' is a function Soren Hauberg <hauberg@gmail.com> parents: 9051 diff changeset	77 elseif (ischar (fn))
16338 8aeb5d5c3747 fplot.m: Overhaul code to use modern coding practices. Rik <rik@octave.org> parents: 14868 diff changeset	78 fn = vectorize (inline (fn));
8aeb5d5c3747 fplot.m: Overhaul code to use modern coding practices. Rik <rik@octave.org> parents: 14868 diff changeset	79 nam = formula (fn);
5820 27c966e4b2dc [project @ 2006-05-17 21:00:54 by jwe] jwe parents: diff changeset	80 else
16338 8aeb5d5c3747 fplot.m: Overhaul code to use modern coding practices. Rik <rik@octave.org> parents: 14868 diff changeset	81 error ("fplot: FN must be a function handle, inline function, or string");
6781 3058060c560f [project @ 2007-07-19 08:07:31 by dbateman] dbateman parents: 6699 diff changeset	82 endif
3058060c560f [project @ 2007-07-19 08:07:31 by dbateman] dbateman parents: 6699 diff changeset	83
16950 b34202b24212 fplot.m: Overhaul function for Matlab compatibility and performance (bug #38961). Rik <rik@octave.org> parents: 16775 diff changeset	84 if (iscomplex (limits) \|\| (numel (limits) != 2 && numel (limits) != 4))
b34202b24212 fplot.m: Overhaul function for Matlab compatibility and performance (bug #38961). Rik <rik@octave.org> parents: 16775 diff changeset	85 error ("fplot: LIMITS must be a real vector with 2 or 4 elements");
b34202b24212 fplot.m: Overhaul function for Matlab compatibility and performance (bug #38961). Rik <rik@octave.org> parents: 16775 diff changeset	86 endif
b34202b24212 fplot.m: Overhaul function for Matlab compatibility and performance (bug #38961). Rik <rik@octave.org> parents: 16775 diff changeset	87
b34202b24212 fplot.m: Overhaul function for Matlab compatibility and performance (bug #38961). Rik <rik@octave.org> parents: 16775 diff changeset	88 n = 5;
b34202b24212 fplot.m: Overhaul function for Matlab compatibility and performance (bug #38961). Rik <rik@octave.org> parents: 16775 diff changeset	89 tol = 2e-3;
b34202b24212 fplot.m: Overhaul function for Matlab compatibility and performance (bug #38961). Rik <rik@octave.org> parents: 16775 diff changeset	90 fmt = "";
b34202b24212 fplot.m: Overhaul function for Matlab compatibility and performance (bug #38961). Rik <rik@octave.org> parents: 16775 diff changeset	91 for i = 1:numel (varargin)
b34202b24212 fplot.m: Overhaul function for Matlab compatibility and performance (bug #38961). Rik <rik@octave.org> parents: 16775 diff changeset	92 arg = varargin{i};
b34202b24212 fplot.m: Overhaul function for Matlab compatibility and performance (bug #38961). Rik <rik@octave.org> parents: 16775 diff changeset	93 if (ischar (arg))
b34202b24212 fplot.m: Overhaul function for Matlab compatibility and performance (bug #38961). Rik <rik@octave.org> parents: 16775 diff changeset	94 fmt = arg;
b34202b24212 fplot.m: Overhaul function for Matlab compatibility and performance (bug #38961). Rik <rik@octave.org> parents: 16775 diff changeset	95 elseif (isnumeric (arg) && isscalar (arg) && arg > 0)
b34202b24212 fplot.m: Overhaul function for Matlab compatibility and performance (bug #38961). Rik <rik@octave.org> parents: 16775 diff changeset	96 if (arg == fix (arg))
b34202b24212 fplot.m: Overhaul function for Matlab compatibility and performance (bug #38961). Rik <rik@octave.org> parents: 16775 diff changeset	97 n = arg;
b34202b24212 fplot.m: Overhaul function for Matlab compatibility and performance (bug #38961). Rik <rik@octave.org> parents: 16775 diff changeset	98 else
b34202b24212 fplot.m: Overhaul function for Matlab compatibility and performance (bug #38961). Rik <rik@octave.org> parents: 16775 diff changeset	99 tol = arg;
b34202b24212 fplot.m: Overhaul function for Matlab compatibility and performance (bug #38961). Rik <rik@octave.org> parents: 16775 diff changeset	100 endif
b34202b24212 fplot.m: Overhaul function for Matlab compatibility and performance (bug #38961). Rik <rik@octave.org> parents: 16775 diff changeset	101 else
b34202b24212 fplot.m: Overhaul function for Matlab compatibility and performance (bug #38961). Rik <rik@octave.org> parents: 16775 diff changeset	102 error ("fplot: bad input in position %d", i+2);
b34202b24212 fplot.m: Overhaul function for Matlab compatibility and performance (bug #38961). Rik <rik@octave.org> parents: 16775 diff changeset	103 endif
b34202b24212 fplot.m: Overhaul function for Matlab compatibility and performance (bug #38961). Rik <rik@octave.org> parents: 16775 diff changeset	104 endfor
b34202b24212 fplot.m: Overhaul function for Matlab compatibility and performance (bug #38961). Rik <rik@octave.org> parents: 16775 diff changeset	105
b34202b24212 fplot.m: Overhaul function for Matlab compatibility and performance (bug #38961). Rik <rik@octave.org> parents: 16775 diff changeset	106 if (n != 5)
b34202b24212 fplot.m: Overhaul function for Matlab compatibility and performance (bug #38961). Rik <rik@octave.org> parents: 16775 diff changeset	107 ## n was specified
b34202b24212 fplot.m: Overhaul function for Matlab compatibility and performance (bug #38961). Rik <rik@octave.org> parents: 16775 diff changeset	108 x0 = linspace (limits(1), limits(2), n/2 + 1)';
6781 3058060c560f [project @ 2007-07-19 08:07:31 by dbateman] dbateman parents: 6699 diff changeset	109 y0 = feval (fn, x0);
3058060c560f [project @ 2007-07-19 08:07:31 by dbateman] dbateman parents: 6699 diff changeset	110 x = linspace (limits(1), limits(2), n)';
3058060c560f [project @ 2007-07-19 08:07:31 by dbateman] dbateman parents: 6699 diff changeset	111 y = feval (fn, x);
3058060c560f [project @ 2007-07-19 08:07:31 by dbateman] dbateman parents: 6699 diff changeset	112 else
16950 b34202b24212 fplot.m: Overhaul function for Matlab compatibility and performance (bug #38961). Rik <rik@octave.org> parents: 16775 diff changeset	113 x0 = linspace (limits(1), limits(2), 5)';
b34202b24212 fplot.m: Overhaul function for Matlab compatibility and performance (bug #38961). Rik <rik@octave.org> parents: 16775 diff changeset	114 y0 = feval (fn, x0);
b34202b24212 fplot.m: Overhaul function for Matlab compatibility and performance (bug #38961). Rik <rik@octave.org> parents: 16775 diff changeset	115 n = 8;
6781 3058060c560f [project @ 2007-07-19 08:07:31 by dbateman] dbateman parents: 6699 diff changeset	116 x = linspace (limits(1), limits(2), n)';
3058060c560f [project @ 2007-07-19 08:07:31 by dbateman] dbateman parents: 6699 diff changeset	117 y = feval (fn, x);
5820 27c966e4b2dc [project @ 2006-05-17 21:00:54 by jwe] jwe parents: diff changeset	118 endif
27c966e4b2dc [project @ 2006-05-17 21:00:54 by jwe] jwe parents: diff changeset	119
16950 b34202b24212 fplot.m: Overhaul function for Matlab compatibility and performance (bug #38961). Rik <rik@octave.org> parents: 16775 diff changeset	120 if (rows (x0) != rows (y0))
b34202b24212 fplot.m: Overhaul function for Matlab compatibility and performance (bug #38961). Rik <rik@octave.org> parents: 16775 diff changeset	121 ## FN is a constant value function
b34202b24212 fplot.m: Overhaul function for Matlab compatibility and performance (bug #38961). Rik <rik@octave.org> parents: 16775 diff changeset	122 y0 = repmat (y0, size (x0));
b34202b24212 fplot.m: Overhaul function for Matlab compatibility and performance (bug #38961). Rik <rik@octave.org> parents: 16775 diff changeset	123 y = repmat (y, size (x));
8145 7ef5b1b4e029 fplot.m: call axis after plot John W. Eaton <jwe@octave.org> parents: 7280 diff changeset	124 endif
7ef5b1b4e029 fplot.m: call axis after plot John W. Eaton <jwe@octave.org> parents: 7280 diff changeset	125
16950 b34202b24212 fplot.m: Overhaul function for Matlab compatibility and performance (bug #38961). Rik <rik@octave.org> parents: 16775 diff changeset	126 err0 = Inf;
b34202b24212 fplot.m: Overhaul function for Matlab compatibility and performance (bug #38961). Rik <rik@octave.org> parents: 16775 diff changeset	127
b34202b24212 fplot.m: Overhaul function for Matlab compatibility and performance (bug #38961). Rik <rik@octave.org> parents: 16775 diff changeset	128 ## FIXME: This algorithm should really use adaptive scaling as the
b34202b24212 fplot.m: Overhaul function for Matlab compatibility and performance (bug #38961). Rik <rik@octave.org> parents: 16775 diff changeset	129 ## the numerical quadrature algorithms do so that extra points are
b34202b24212 fplot.m: Overhaul function for Matlab compatibility and performance (bug #38961). Rik <rik@octave.org> parents: 16775 diff changeset	130 ## used where they are needed and not spread evenly over the entire
b34202b24212 fplot.m: Overhaul function for Matlab compatibility and performance (bug #38961). Rik <rik@octave.org> parents: 16775 diff changeset	131 ## x-range. Try any function with a discontinuity such as
b34202b24212 fplot.m: Overhaul function for Matlab compatibility and performance (bug #38961). Rik <rik@octave.org> parents: 16775 diff changeset	132 ## fplot (@tan, [-2, 2]) or fplot ("1./x", [-3, 2]) to see the
b34202b24212 fplot.m: Overhaul function for Matlab compatibility and performance (bug #38961). Rik <rik@octave.org> parents: 16775 diff changeset	133 ## problems with the current solution.
b34202b24212 fplot.m: Overhaul function for Matlab compatibility and performance (bug #38961). Rik <rik@octave.org> parents: 16775 diff changeset	134
b34202b24212 fplot.m: Overhaul function for Matlab compatibility and performance (bug #38961). Rik <rik@octave.org> parents: 16775 diff changeset	135 while (n < 2^18) # Something is wrong if we need more than 250K points
b34202b24212 fplot.m: Overhaul function for Matlab compatibility and performance (bug #38961). Rik <rik@octave.org> parents: 16775 diff changeset	136 yi = interp1 (x0, y0, x, "linear");
b34202b24212 fplot.m: Overhaul function for Matlab compatibility and performance (bug #38961). Rik <rik@octave.org> parents: 16775 diff changeset	137 ## relative error calculation using average of [yi,y] as reference
b34202b24212 fplot.m: Overhaul function for Matlab compatibility and performance (bug #38961). Rik <rik@octave.org> parents: 16775 diff changeset	138 ## since neither estimate is known a priori to be better than the other.
b34202b24212 fplot.m: Overhaul function for Matlab compatibility and performance (bug #38961). Rik <rik@octave.org> parents: 16775 diff changeset	139 err = 0.5 * max (abs ((yi - y) ./ (yi + y))(:));
b34202b24212 fplot.m: Overhaul function for Matlab compatibility and performance (bug #38961). Rik <rik@octave.org> parents: 16775 diff changeset	140 if (err < tol \|\| abs (err - err0) < tol/2)
b34202b24212 fplot.m: Overhaul function for Matlab compatibility and performance (bug #38961). Rik <rik@octave.org> parents: 16775 diff changeset	141 ## Either relative tolerance has been met OR
b34202b24212 fplot.m: Overhaul function for Matlab compatibility and performance (bug #38961). Rik <rik@octave.org> parents: 16775 diff changeset	142 ## algorithm has stopped making any reasonable progress per iteration.
b34202b24212 fplot.m: Overhaul function for Matlab compatibility and performance (bug #38961). Rik <rik@octave.org> parents: 16775 diff changeset	143 break;
b34202b24212 fplot.m: Overhaul function for Matlab compatibility and performance (bug #38961). Rik <rik@octave.org> parents: 16775 diff changeset	144 endif
b34202b24212 fplot.m: Overhaul function for Matlab compatibility and performance (bug #38961). Rik <rik@octave.org> parents: 16775 diff changeset	145 x0 = x;
b34202b24212 fplot.m: Overhaul function for Matlab compatibility and performance (bug #38961). Rik <rik@octave.org> parents: 16775 diff changeset	146 y0 = y;
b34202b24212 fplot.m: Overhaul function for Matlab compatibility and performance (bug #38961). Rik <rik@octave.org> parents: 16775 diff changeset	147 err0 = err;
b34202b24212 fplot.m: Overhaul function for Matlab compatibility and performance (bug #38961). Rik <rik@octave.org> parents: 16775 diff changeset	148 n = 2 * (n - 1) + 1;
b34202b24212 fplot.m: Overhaul function for Matlab compatibility and performance (bug #38961). Rik <rik@octave.org> parents: 16775 diff changeset	149 x = linspace (limits(1), limits(2), n)';
b34202b24212 fplot.m: Overhaul function for Matlab compatibility and performance (bug #38961). Rik <rik@octave.org> parents: 16775 diff changeset	150 y = feval (fn, x);
b34202b24212 fplot.m: Overhaul function for Matlab compatibility and performance (bug #38961). Rik <rik@octave.org> parents: 16775 diff changeset	151 endwhile
b34202b24212 fplot.m: Overhaul function for Matlab compatibility and performance (bug #38961). Rik <rik@octave.org> parents: 16775 diff changeset	152
b34202b24212 fplot.m: Overhaul function for Matlab compatibility and performance (bug #38961). Rik <rik@octave.org> parents: 16775 diff changeset	153 if (nargout == 2)
b34202b24212 fplot.m: Overhaul function for Matlab compatibility and performance (bug #38961). Rik <rik@octave.org> parents: 16775 diff changeset	154 X = x;
b34202b24212 fplot.m: Overhaul function for Matlab compatibility and performance (bug #38961). Rik <rik@octave.org> parents: 16775 diff changeset	155 Y = y;
6781 3058060c560f [project @ 2007-07-19 08:07:31 by dbateman] dbateman parents: 6699 diff changeset	156 else
16950 b34202b24212 fplot.m: Overhaul function for Matlab compatibility and performance (bug #38961). Rik <rik@octave.org> parents: 16775 diff changeset	157 plot (x, y, fmt);
b34202b24212 fplot.m: Overhaul function for Matlab compatibility and performance (bug #38961). Rik <rik@octave.org> parents: 16775 diff changeset	158 axis (limits);
b34202b24212 fplot.m: Overhaul function for Matlab compatibility and performance (bug #38961). Rik <rik@octave.org> parents: 16775 diff changeset	159 if (isvector (y))
b34202b24212 fplot.m: Overhaul function for Matlab compatibility and performance (bug #38961). Rik <rik@octave.org> parents: 16775 diff changeset	160 legend (nam);
b34202b24212 fplot.m: Overhaul function for Matlab compatibility and performance (bug #38961). Rik <rik@octave.org> parents: 16775 diff changeset	161 else
b34202b24212 fplot.m: Overhaul function for Matlab compatibility and performance (bug #38961). Rik <rik@octave.org> parents: 16775 diff changeset	162 for i = 1:columns (y)
b34202b24212 fplot.m: Overhaul function for Matlab compatibility and performance (bug #38961). Rik <rik@octave.org> parents: 16775 diff changeset	163 nams{i} = sprintf ("%s(:,%i)", nam, i);
b34202b24212 fplot.m: Overhaul function for Matlab compatibility and performance (bug #38961). Rik <rik@octave.org> parents: 16775 diff changeset	164 endfor
b34202b24212 fplot.m: Overhaul function for Matlab compatibility and performance (bug #38961). Rik <rik@octave.org> parents: 16775 diff changeset	165 legend (nams{:});
b34202b24212 fplot.m: Overhaul function for Matlab compatibility and performance (bug #38961). Rik <rik@octave.org> parents: 16775 diff changeset	166 endif
6781 3058060c560f [project @ 2007-07-19 08:07:31 by dbateman] dbateman parents: 6699 diff changeset	167 endif
16338 8aeb5d5c3747 fplot.m: Overhaul code to use modern coding practices. Rik <rik@octave.org> parents: 14868 diff changeset	168
5820 27c966e4b2dc [project @ 2006-05-17 21:00:54 by jwe] jwe parents: diff changeset	169 endfunction
7245 d65670971cbc [project @ 2007-12-04 03:03:54 by jwe] jwe parents: 7017 diff changeset	170
d65670971cbc [project @ 2007-12-04 03:03:54 by jwe] jwe parents: 7017 diff changeset	171
d65670971cbc [project @ 2007-12-04 03:03:54 by jwe] jwe parents: 7017 diff changeset	172 %!demo
14237 11949c9795a0 Revamp %!demos in m-files to use Octave coding conventions on spacing, etc. Rik <octave@nomad.inbox5.com> parents: 14138 diff changeset	173 %! clf;
16950 b34202b24212 fplot.m: Overhaul function for Matlab compatibility and performance (bug #38961). Rik <rik@octave.org> parents: 16775 diff changeset	174 %! fplot (@cos, [0, 2*pi]);
14237 11949c9795a0 Revamp %!demos in m-files to use Octave coding conventions on spacing, etc. Rik <octave@nomad.inbox5.com> parents: 14138 diff changeset	175
11949c9795a0 Revamp %!demos in m-files to use Octave coding conventions on spacing, etc. Rik <octave@nomad.inbox5.com> parents: 14138 diff changeset	176 %!demo
11949c9795a0 Revamp %!demos in m-files to use Octave coding conventions on spacing, etc. Rik <octave@nomad.inbox5.com> parents: 14138 diff changeset	177 %! clf;
14245 4506eade9f04 Use Matlab coding conventions for demos in plot/ directory. Rik <octave@nomad.inbox5.com> parents: 14237 diff changeset	178 %! fplot ('[cos(x), sin(x)]', [0, 2*pi]);
14237 11949c9795a0 Revamp %!demos in m-files to use Octave coding conventions on spacing, etc. Rik <octave@nomad.inbox5.com> parents: 14138 diff changeset	179
16950 b34202b24212 fplot.m: Overhaul function for Matlab compatibility and performance (bug #38961). Rik <rik@octave.org> parents: 16775 diff changeset	180 %!demo
b34202b24212 fplot.m: Overhaul function for Matlab compatibility and performance (bug #38961). Rik <rik@octave.org> parents: 16775 diff changeset	181 %! clf;
b34202b24212 fplot.m: Overhaul function for Matlab compatibility and performance (bug #38961). Rik <rik@octave.org> parents: 16775 diff changeset	182 %! ## sinc function
b34202b24212 fplot.m: Overhaul function for Matlab compatibility and performance (bug #38961). Rik <rik@octave.org> parents: 16775 diff changeset	183 %! fh = @(x) sin (xpi) ./ (xpi);
b34202b24212 fplot.m: Overhaul function for Matlab compatibility and performance (bug #38961). Rik <rik@octave.org> parents: 16775 diff changeset	184 %! fplot (fh, [-5, 5]);
b34202b24212 fplot.m: Overhaul function for Matlab compatibility and performance (bug #38961). Rik <rik@octave.org> parents: 16775 diff changeset	185
b34202b24212 fplot.m: Overhaul function for Matlab compatibility and performance (bug #38961). Rik <rik@octave.org> parents: 16775 diff changeset	186 %!test
b34202b24212 fplot.m: Overhaul function for Matlab compatibility and performance (bug #38961). Rik <rik@octave.org> parents: 16775 diff changeset	187 %! [x, y] = fplot ("[cos(x), sin(x)]", [0, 2*pi]);
b34202b24212 fplot.m: Overhaul function for Matlab compatibility and performance (bug #38961). Rik <rik@octave.org> parents: 16775 diff changeset	188 %! assert (columns (y) == 2);
b34202b24212 fplot.m: Overhaul function for Matlab compatibility and performance (bug #38961). Rik <rik@octave.org> parents: 16775 diff changeset	189 %! assert (rows (x) == rows (y));
b34202b24212 fplot.m: Overhaul function for Matlab compatibility and performance (bug #38961). Rik <rik@octave.org> parents: 16775 diff changeset	190 %! assert (y, [cos(x), sin(x)], -2e-3);
b34202b24212 fplot.m: Overhaul function for Matlab compatibility and performance (bug #38961). Rik <rik@octave.org> parents: 16775 diff changeset	191
16775 5ec3f4aea91c fplot.m: Fix bug when FN is a constant function (bug #39287) Rik <rik@octave.org> parents: 16338 diff changeset	192 %% Test input validation
5ec3f4aea91c fplot.m: Fix bug when FN is a constant function (bug #39287) Rik <rik@octave.org> parents: 16338 diff changeset	193 %!error fplot (1)
16950 b34202b24212 fplot.m: Overhaul function for Matlab compatibility and performance (bug #38961). Rik <rik@octave.org> parents: 16775 diff changeset	194 %!error fplot (1,2,3,4,5,6)
b34202b24212 fplot.m: Overhaul function for Matlab compatibility and performance (bug #38961). Rik <rik@octave.org> parents: 16775 diff changeset	195 %!error <FN must be a function handle> fplot (1, [0 1])
16775 5ec3f4aea91c fplot.m: Fix bug when FN is a constant function (bug #39287) Rik <rik@octave.org> parents: 16338 diff changeset	196 %!error <LIMITS must be a real vector> fplot (@cos, [i, 2*i])
5ec3f4aea91c fplot.m: Fix bug when FN is a constant function (bug #39287) Rik <rik@octave.org> parents: 16338 diff changeset	197 %!error <LIMITS must be a real vector with 2 or 4> fplot (@cos, [1])
5ec3f4aea91c fplot.m: Fix bug when FN is a constant function (bug #39287) Rik <rik@octave.org> parents: 16338 diff changeset	198 %!error <LIMITS must be a real vector with 2 or 4> fplot (@cos, [1 2 3])
16950 b34202b24212 fplot.m: Overhaul function for Matlab compatibility and performance (bug #38961). Rik <rik@octave.org> parents: 16775 diff changeset	199 %!error <bad input in position 3> fplot (@cos,[-1,1], {1})
16775 5ec3f4aea91c fplot.m: Fix bug when FN is a constant function (bug #39287) Rik <rik@octave.org> parents: 16338 diff changeset	200

Mercurial > octave

annotate scripts/plot/fplot.m @ 16950:b34202b24212