octave: scripts/polynomial/mpoles.m annotate

annotate scripts/polynomial/mpoles.m @ 33625:d213a148b3f1 default tip @

ensure exp. terminal widget has focus at startup * main-window.cc (main_window): call focus_command_window only if event loop is idle by using a single shot timer * main-window.h: make focus_command_window a public slot

author	Torsten Lilge <ttl-octave@mailbox.org>
date	Sun, 26 May 2024 02:29:44 +0200
parents	2e484f9f1f18
children

rev	line source
27923 bd51beb6205e update formatting of copyright notices John W. Eaton <jwe@octave.org> parents: 27919 diff changeset	1 ########################################################################
bd51beb6205e update formatting of copyright notices John W. Eaton <jwe@octave.org> parents: 27919 diff changeset	2 ##
32632 2e484f9f1f18 maint: update Octave Project Developers copyright for the new year John W. Eaton <jwe@octave.org> parents: 31915 diff changeset	3 ## Copyright (C) 2007-2024 The Octave Project Developers
27918 b442ec6dda5c use centralized file for copyright info for individual contributors John W. Eaton <jwe@octave.org> parents: 26376 diff changeset	4 ##
27923 bd51beb6205e update formatting of copyright notices John W. Eaton <jwe@octave.org> parents: 27919 diff changeset	5 ## See the file COPYRIGHT.md in the top-level directory of this
bd51beb6205e update formatting of copyright notices John W. Eaton <jwe@octave.org> parents: 27919 diff changeset	6 ## distribution or <https://octave.org/copyright/>.
6964 33f20a41aeea [project @ 2007-10-06 04:31:18 by jwe] jwe parents: diff changeset	7 ##
33f20a41aeea [project @ 2007-10-06 04:31:18 by jwe] jwe parents: diff changeset	8 ## This file is part of Octave.
33f20a41aeea [project @ 2007-10-06 04:31:18 by jwe] jwe parents: diff changeset	9 ##
24534 194eb4bd202b maint: Update punctuation for GPL v3 license text. Rik <rik@octave.org> parents: 23220 diff changeset	10 ## Octave is free software: you can redistribute it and/or modify it
6964 33f20a41aeea [project @ 2007-10-06 04:31:18 by jwe] jwe parents: diff changeset	11 ## under the terms of the GNU General Public License as published by
24534 194eb4bd202b maint: Update punctuation for GPL v3 license text. Rik <rik@octave.org> parents: 23220 diff changeset	12 ## the Free Software Foundation, either version 3 of the License, or
22755 3a2b891d0b33 maint: Standardize Copyright formatting. Rik <rik@octave.org> parents: 22323 diff changeset	13 ## (at your option) any later version.
6964 33f20a41aeea [project @ 2007-10-06 04:31:18 by jwe] jwe parents: diff changeset	14 ##
33f20a41aeea [project @ 2007-10-06 04:31:18 by jwe] jwe parents: diff changeset	15 ## Octave is distributed in the hope that it will be useful, but
33f20a41aeea [project @ 2007-10-06 04:31:18 by jwe] jwe parents: diff changeset	16 ## WITHOUT ANY WARRANTY; without even the implied warranty of
22755 3a2b891d0b33 maint: Standardize Copyright formatting. Rik <rik@octave.org> parents: 22323 diff changeset	17 ## MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
3a2b891d0b33 maint: Standardize Copyright formatting. Rik <rik@octave.org> parents: 22323 diff changeset	18 ## GNU General Public License for more details.
6964 33f20a41aeea [project @ 2007-10-06 04:31:18 by jwe] jwe parents: diff changeset	19 ##
33f20a41aeea [project @ 2007-10-06 04:31:18 by jwe] jwe parents: diff changeset	20 ## 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: 6998 diff changeset	21 ## along with Octave; see the file COPYING. If not, see
24534 194eb4bd202b maint: Update punctuation for GPL v3 license text. Rik <rik@octave.org> parents: 23220 diff changeset	22 ## <https://www.gnu.org/licenses/>.
27923 bd51beb6205e update formatting of copyright notices John W. Eaton <jwe@octave.org> parents: 27919 diff changeset	23 ##
bd51beb6205e update formatting of copyright notices John W. Eaton <jwe@octave.org> parents: 27919 diff changeset	24 ########################################################################
6964 33f20a41aeea [project @ 2007-10-06 04:31:18 by jwe] jwe parents: diff changeset	25
33f20a41aeea [project @ 2007-10-06 04:31:18 by jwe] jwe parents: diff changeset	26 ## -- texinfo --
20852 516bb87ea72e 2015 Code Sprint: remove class of function from docstring for all m-files. Rik <rik@octave.org> parents: 20165 diff changeset	27 ## @deftypefn {} {[@var{multp}, @var{idxp}] =} mpoles (@var{p})
516bb87ea72e 2015 Code Sprint: remove class of function from docstring for all m-files. Rik <rik@octave.org> parents: 20165 diff changeset	28 ## @deftypefnx {} {[@var{multp}, @var{idxp}] =} mpoles (@var{p}, @var{tol})
516bb87ea72e 2015 Code Sprint: remove class of function from docstring for all m-files. Rik <rik@octave.org> parents: 20165 diff changeset	29 ## @deftypefnx {} {[@var{multp}, @var{idxp}] =} mpoles (@var{p}, @var{tol}, @var{reorder})
20165 f1d0f506ee78 doc: Update more docstrings to have one sentence summary as first line. Rik <rik@octave.org> parents: 19697 diff changeset	30 ## Identify unique poles in @var{p} and their associated multiplicity.
11587 c792872f8942 all script files: untabify and strip trailing whitespace John W. Eaton <jwe@octave.org> parents: 11523 diff changeset	31 ##
31915 8eeb49ec16d8 mpoles.m: Overhaul function and use absolute tolerance for zero poles (bug #63937) Rik <rik@octave.org> parents: 31706 diff changeset	32 ## By default, the output is ordered from the pole with the largest magnitude
8eeb49ec16d8 mpoles.m: Overhaul function and use absolute tolerance for zero poles (bug #63937) Rik <rik@octave.org> parents: 31706 diff changeset	33 ## to the smallest magnitude.
8eeb49ec16d8 mpoles.m: Overhaul function and use absolute tolerance for zero poles (bug #63937) Rik <rik@octave.org> parents: 31706 diff changeset	34 ##
8eeb49ec16d8 mpoles.m: Overhaul function and use absolute tolerance for zero poles (bug #63937) Rik <rik@octave.org> parents: 31706 diff changeset	35 ## Two poles are considered to be multiples if the difference between them
8eeb49ec16d8 mpoles.m: Overhaul function and use absolute tolerance for zero poles (bug #63937) Rik <rik@octave.org> parents: 31706 diff changeset	36 ## is less than the relative tolerance @var{tol}.
20165 f1d0f506ee78 doc: Update more docstrings to have one sentence summary as first line. Rik <rik@octave.org> parents: 19697 diff changeset	37 ##
31915 8eeb49ec16d8 mpoles.m: Overhaul function and use absolute tolerance for zero poles (bug #63937) Rik <rik@octave.org> parents: 31706 diff changeset	38 ## @example
8eeb49ec16d8 mpoles.m: Overhaul function and use absolute tolerance for zero poles (bug #63937) Rik <rik@octave.org> parents: 31706 diff changeset	39 ## abs (@var{p1} - @var{p0}) / abs (@var{p0}) < @var{tol}
8eeb49ec16d8 mpoles.m: Overhaul function and use absolute tolerance for zero poles (bug #63937) Rik <rik@octave.org> parents: 31706 diff changeset	40 ## @end example
6964 33f20a41aeea [project @ 2007-10-06 04:31:18 by jwe] jwe parents: diff changeset	41 ##
31915 8eeb49ec16d8 mpoles.m: Overhaul function and use absolute tolerance for zero poles (bug #63937) Rik <rik@octave.org> parents: 31706 diff changeset	42 ## If the pole is 0 then no scaling is done and @var{tol} is interpreted as an
8eeb49ec16d8 mpoles.m: Overhaul function and use absolute tolerance for zero poles (bug #63937) Rik <rik@octave.org> parents: 31706 diff changeset	43 ## absolute tolerance. The default value for @var{tol} is 0.001.
8eeb49ec16d8 mpoles.m: Overhaul function and use absolute tolerance for zero poles (bug #63937) Rik <rik@octave.org> parents: 31706 diff changeset	44 ##
8eeb49ec16d8 mpoles.m: Overhaul function and use absolute tolerance for zero poles (bug #63937) Rik <rik@octave.org> parents: 31706 diff changeset	45 ## If the optional parameter @var{reorder} is false/zero, poles are not
8eeb49ec16d8 mpoles.m: Overhaul function and use absolute tolerance for zero poles (bug #63937) Rik <rik@octave.org> parents: 31706 diff changeset	46 ## sorted.
6964 33f20a41aeea [project @ 2007-10-06 04:31:18 by jwe] jwe parents: diff changeset	47 ##
20165 f1d0f506ee78 doc: Update more docstrings to have one sentence summary as first line. Rik <rik@octave.org> parents: 19697 diff changeset	48 ## The output @var{multp} is a vector specifying the multiplicity of the poles.
f1d0f506ee78 doc: Update more docstrings to have one sentence summary as first line. Rik <rik@octave.org> parents: 19697 diff changeset	49 ## @code{@var{multp}(n)} refers to the multiplicity of the Nth pole
14104 614505385171 doc: Overhaul docstrings for polynomial functions. Rik <octave@nomad.inbox5.com> parents: 13963 diff changeset	50 ## @code{@var{p}(@var{idxp}(n))}.
6964 33f20a41aeea [project @ 2007-10-06 04:31:18 by jwe] jwe parents: diff changeset	51 ##
10821 693e22af08ae Grammarcheck documentation of m-files Rik <octave@nomad.inbox5.com> parents: 10793 diff changeset	52 ## For example:
6964 33f20a41aeea [project @ 2007-10-06 04:31:18 by jwe] jwe parents: diff changeset	53 ##
33f20a41aeea [project @ 2007-10-06 04:31:18 by jwe] jwe parents: diff changeset	54 ## @example
33f20a41aeea [project @ 2007-10-06 04:31:18 by jwe] jwe parents: diff changeset	55 ## @group
33f20a41aeea [project @ 2007-10-06 04:31:18 by jwe] jwe parents: diff changeset	56 ## p = [2 3 1 1 2];
14327 4d917a6a858b doc: Use Octave coding conventions in @example blocks of docstrings. Rik <octave@nomad.inbox5.com> parents: 14138 diff changeset	57 ## [m, n] = mpoles (p)
4d917a6a858b doc: Use Octave coding conventions in @example blocks of docstrings. Rik <octave@nomad.inbox5.com> parents: 14138 diff changeset	58 ## @result{} m = [1; 1; 2; 1; 2]
4d917a6a858b doc: Use Octave coding conventions in @example blocks of docstrings. Rik <octave@nomad.inbox5.com> parents: 14138 diff changeset	59 ## @result{} n = [2; 5; 1; 4; 3]
4d917a6a858b doc: Use Octave coding conventions in @example blocks of docstrings. Rik <octave@nomad.inbox5.com> parents: 14138 diff changeset	60 ## @result{} p(n) = [3, 2, 2, 1, 1]
6964 33f20a41aeea [project @ 2007-10-06 04:31:18 by jwe] jwe parents: diff changeset	61 ## @end group
33f20a41aeea [project @ 2007-10-06 04:31:18 by jwe] jwe parents: diff changeset	62 ## @end example
33f20a41aeea [project @ 2007-10-06 04:31:18 by jwe] jwe parents: diff changeset	63 ##
14104 614505385171 doc: Overhaul docstrings for polynomial functions. Rik <octave@nomad.inbox5.com> parents: 13963 diff changeset	64 ## @seealso{residue, poly, roots, conv, deconv}
6964 33f20a41aeea [project @ 2007-10-06 04:31:18 by jwe] jwe parents: diff changeset	65 ## @end deftypefn
33f20a41aeea [project @ 2007-10-06 04:31:18 by jwe] jwe parents: diff changeset	66
31915 8eeb49ec16d8 mpoles.m: Overhaul function and use absolute tolerance for zero poles (bug #63937) Rik <rik@octave.org> parents: 31706 diff changeset	67 function [multp, idxp] = mpoles (p, tol, reorder)
6964 33f20a41aeea [project @ 2007-10-06 04:31:18 by jwe] jwe parents: diff changeset	68
28789 28de41192f3c Eliminate unneeded verification of nargin, nargout in m-files. Rik <rik@octave.org> parents: 27985 diff changeset	69 if (nargin < 1)
6964 33f20a41aeea [project @ 2007-10-06 04:31:18 by jwe] jwe parents: diff changeset	70 print_usage ();
33f20a41aeea [project @ 2007-10-06 04:31:18 by jwe] jwe parents: diff changeset	71 endif
33f20a41aeea [project @ 2007-10-06 04:31:18 by jwe] jwe parents: diff changeset	72
31915 8eeb49ec16d8 mpoles.m: Overhaul function and use absolute tolerance for zero poles (bug #63937) Rik <rik@octave.org> parents: 31706 diff changeset	73 if (! isfloat (p))
8eeb49ec16d8 mpoles.m: Overhaul function and use absolute tolerance for zero poles (bug #63937) Rik <rik@octave.org> parents: 31706 diff changeset	74 error ("mpoles: P must be a single or double floating point vector");
8eeb49ec16d8 mpoles.m: Overhaul function and use absolute tolerance for zero poles (bug #63937) Rik <rik@octave.org> parents: 31706 diff changeset	75 endif
6964 33f20a41aeea [project @ 2007-10-06 04:31:18 by jwe] jwe parents: diff changeset	76
31915 8eeb49ec16d8 mpoles.m: Overhaul function and use absolute tolerance for zero poles (bug #63937) Rik <rik@octave.org> parents: 31706 diff changeset	77 if (nargin < 2 \|\| isempty (tol))
8eeb49ec16d8 mpoles.m: Overhaul function and use absolute tolerance for zero poles (bug #63937) Rik <rik@octave.org> parents: 31706 diff changeset	78 tol = 0.001;
8eeb49ec16d8 mpoles.m: Overhaul function and use absolute tolerance for zero poles (bug #63937) Rik <rik@octave.org> parents: 31706 diff changeset	79 elseif (! (isscalar (tol) && isreal (tol) && tol > 0))
8eeb49ec16d8 mpoles.m: Overhaul function and use absolute tolerance for zero poles (bug #63937) Rik <rik@octave.org> parents: 31706 diff changeset	80 error ("mpoles: TOL must be a real scalar greater than 0");
8eeb49ec16d8 mpoles.m: Overhaul function and use absolute tolerance for zero poles (bug #63937) Rik <rik@octave.org> parents: 31706 diff changeset	81 endif
8eeb49ec16d8 mpoles.m: Overhaul function and use absolute tolerance for zero poles (bug #63937) Rik <rik@octave.org> parents: 31706 diff changeset	82
8eeb49ec16d8 mpoles.m: Overhaul function and use absolute tolerance for zero poles (bug #63937) Rik <rik@octave.org> parents: 31706 diff changeset	83 if (nargin < 3 \|\| isempty (reorder))
8eeb49ec16d8 mpoles.m: Overhaul function and use absolute tolerance for zero poles (bug #63937) Rik <rik@octave.org> parents: 31706 diff changeset	84 reorder = true;
8eeb49ec16d8 mpoles.m: Overhaul function and use absolute tolerance for zero poles (bug #63937) Rik <rik@octave.org> parents: 31706 diff changeset	85 elseif (! (isscalar (reorder) && isreal (reorder)))
8eeb49ec16d8 mpoles.m: Overhaul function and use absolute tolerance for zero poles (bug #63937) Rik <rik@octave.org> parents: 31706 diff changeset	86 error ("mpoles: REORDER must be a numeric or logical scalar");
8eeb49ec16d8 mpoles.m: Overhaul function and use absolute tolerance for zero poles (bug #63937) Rik <rik@octave.org> parents: 31706 diff changeset	87 endif
6964 33f20a41aeea [project @ 2007-10-06 04:31:18 by jwe] jwe parents: diff changeset	88
33f20a41aeea [project @ 2007-10-06 04:31:18 by jwe] jwe parents: diff changeset	89 Np = numel (p);
31915 8eeb49ec16d8 mpoles.m: Overhaul function and use absolute tolerance for zero poles (bug #63937) Rik <rik@octave.org> parents: 31706 diff changeset	90 p = p(:); # force poles to be a column vector
6964 33f20a41aeea [project @ 2007-10-06 04:31:18 by jwe] jwe parents: diff changeset	91
33f20a41aeea [project @ 2007-10-06 04:31:18 by jwe] jwe parents: diff changeset	92 if (reorder)
29533 6dfc06f55cd2 mpoles.m: Fix detection of pole multiplicity (bug #60384). Markus Mützel <markus.muetzel@gmx.de> parents: 29358 diff changeset	93 ## sort with largest magnitude first
31915 8eeb49ec16d8 mpoles.m: Overhaul function and use absolute tolerance for zero poles (bug #63937) Rik <rik@octave.org> parents: 31706 diff changeset	94 [~, order] = sort (abs (p), "descend");
8eeb49ec16d8 mpoles.m: Overhaul function and use absolute tolerance for zero poles (bug #63937) Rik <rik@octave.org> parents: 31706 diff changeset	95 p = p(order);
6964 33f20a41aeea [project @ 2007-10-06 04:31:18 by jwe] jwe parents: diff changeset	96 else
31915 8eeb49ec16d8 mpoles.m: Overhaul function and use absolute tolerance for zero poles (bug #63937) Rik <rik@octave.org> parents: 31706 diff changeset	97 order = (1:Np).';
6964 33f20a41aeea [project @ 2007-10-06 04:31:18 by jwe] jwe parents: diff changeset	98 endif
33f20a41aeea [project @ 2007-10-06 04:31:18 by jwe] jwe parents: diff changeset	99
31915 8eeb49ec16d8 mpoles.m: Overhaul function and use absolute tolerance for zero poles (bug #63937) Rik <rik@octave.org> parents: 31706 diff changeset	100 ## Create vector of tolerances for use in algorithm.
8eeb49ec16d8 mpoles.m: Overhaul function and use absolute tolerance for zero poles (bug #63937) Rik <rik@octave.org> parents: 31706 diff changeset	101 vtol = zeros (Np, 1, class (p));
8eeb49ec16d8 mpoles.m: Overhaul function and use absolute tolerance for zero poles (bug #63937) Rik <rik@octave.org> parents: 31706 diff changeset	102 p_nz = (p != 0); # non-zero poles
8eeb49ec16d8 mpoles.m: Overhaul function and use absolute tolerance for zero poles (bug #63937) Rik <rik@octave.org> parents: 31706 diff changeset	103 vtol(! p_nz) = tol; # use absolute tolerance for zero poles
6964 33f20a41aeea [project @ 2007-10-06 04:31:18 by jwe] jwe parents: diff changeset	104
31915 8eeb49ec16d8 mpoles.m: Overhaul function and use absolute tolerance for zero poles (bug #63937) Rik <rik@octave.org> parents: 31706 diff changeset	105 ## Find pole multiplicity by comparing relative difference of poles.
8eeb49ec16d8 mpoles.m: Overhaul function and use absolute tolerance for zero poles (bug #63937) Rik <rik@octave.org> parents: 31706 diff changeset	106 multp = zeros (Np, 1, class (p));
8eeb49ec16d8 mpoles.m: Overhaul function and use absolute tolerance for zero poles (bug #63937) Rik <rik@octave.org> parents: 31706 diff changeset	107 idxp = [];
6964 33f20a41aeea [project @ 2007-10-06 04:31:18 by jwe] jwe parents: diff changeset	108 n = find (multp == 0, 1);
33f20a41aeea [project @ 2007-10-06 04:31:18 by jwe] jwe parents: diff changeset	109 while (n)
31915 8eeb49ec16d8 mpoles.m: Overhaul function and use absolute tolerance for zero poles (bug #63937) Rik <rik@octave.org> parents: 31706 diff changeset	110 dp = abs (p - p(n));
8eeb49ec16d8 mpoles.m: Overhaul function and use absolute tolerance for zero poles (bug #63937) Rik <rik@octave.org> parents: 31706 diff changeset	111 vtol(p_nz) = tol * abs (p(n));
8eeb49ec16d8 mpoles.m: Overhaul function and use absolute tolerance for zero poles (bug #63937) Rik <rik@octave.org> parents: 31706 diff changeset	112 k = find (dp < vtol);
7360 1e716cb4b2a3 [project @ 2008-01-11 02:59:02 by jwe] jwe parents: 7151 diff changeset	113 ## Poles can only be members of one multiplicity group.
31915 8eeb49ec16d8 mpoles.m: Overhaul function and use absolute tolerance for zero poles (bug #63937) Rik <rik@octave.org> parents: 31706 diff changeset	114 if (numel (idxp))
8eeb49ec16d8 mpoles.m: Overhaul function and use absolute tolerance for zero poles (bug #63937) Rik <rik@octave.org> parents: 31706 diff changeset	115 k = k(! ismember (k, idxp));
7360 1e716cb4b2a3 [project @ 2008-01-11 02:59:02 by jwe] jwe parents: 7151 diff changeset	116 endif
6964 33f20a41aeea [project @ 2007-10-06 04:31:18 by jwe] jwe parents: diff changeset	117 m = 1:numel (k);
33f20a41aeea [project @ 2007-10-06 04:31:18 by jwe] jwe parents: diff changeset	118 multp(k) = m;
31915 8eeb49ec16d8 mpoles.m: Overhaul function and use absolute tolerance for zero poles (bug #63937) Rik <rik@octave.org> parents: 31706 diff changeset	119 idxp = [idxp; k];
6964 33f20a41aeea [project @ 2007-10-06 04:31:18 by jwe] jwe parents: diff changeset	120 n = find (multp == 0, 1);
33f20a41aeea [project @ 2007-10-06 04:31:18 by jwe] jwe parents: diff changeset	121 endwhile
31915 8eeb49ec16d8 mpoles.m: Overhaul function and use absolute tolerance for zero poles (bug #63937) Rik <rik@octave.org> parents: 31706 diff changeset	122 multp = multp(idxp);
8eeb49ec16d8 mpoles.m: Overhaul function and use absolute tolerance for zero poles (bug #63937) Rik <rik@octave.org> parents: 31706 diff changeset	123 idxp = order(idxp);
6964 33f20a41aeea [project @ 2007-10-06 04:31:18 by jwe] jwe parents: diff changeset	124
33f20a41aeea [project @ 2007-10-06 04:31:18 by jwe] jwe parents: diff changeset	125 endfunction
9360 df42106beec8 mpoles.m: Fix infinite loop for a multiplicity of poles at zero. Test added. Ben Abbott <bpabbott@mac.com> parents: 9245 diff changeset	126
14363 f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks Rik <octave@nomad.inbox5.com> parents: 14327 diff changeset	127
9360 df42106beec8 mpoles.m: Fix infinite loop for a multiplicity of poles at zero. Test added. Ben Abbott <bpabbott@mac.com> parents: 9245 diff changeset	128 %!test
31915 8eeb49ec16d8 mpoles.m: Overhaul function and use absolute tolerance for zero poles (bug #63937) Rik <rik@octave.org> parents: 31706 diff changeset	129 %! [mp, ip] = mpoles ([0 0], 0.01);
14363 f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks Rik <octave@nomad.inbox5.com> parents: 14327 diff changeset	130 %! assert (mp, [1; 2]);
29533 6dfc06f55cd2 mpoles.m: Fix detection of pole multiplicity (bug #60384). Markus Mützel <markus.muetzel@gmx.de> parents: 29358 diff changeset	131
6dfc06f55cd2 mpoles.m: Fix detection of pole multiplicity (bug #60384). Markus Mützel <markus.muetzel@gmx.de> parents: 29358 diff changeset	132 %!test
31915 8eeb49ec16d8 mpoles.m: Overhaul function and use absolute tolerance for zero poles (bug #63937) Rik <rik@octave.org> parents: 31706 diff changeset	133 %! [mp, ip] = mpoles ([-1e4, -0.1, 0]);
8eeb49ec16d8 mpoles.m: Overhaul function and use absolute tolerance for zero poles (bug #63937) Rik <rik@octave.org> parents: 31706 diff changeset	134 %! assert (mp, [1; 1; 1]);
8eeb49ec16d8 mpoles.m: Overhaul function and use absolute tolerance for zero poles (bug #63937) Rik <rik@octave.org> parents: 31706 diff changeset	135 %! assert (ip, [1; 2; 3]);
8eeb49ec16d8 mpoles.m: Overhaul function and use absolute tolerance for zero poles (bug #63937) Rik <rik@octave.org> parents: 31706 diff changeset	136
8eeb49ec16d8 mpoles.m: Overhaul function and use absolute tolerance for zero poles (bug #63937) Rik <rik@octave.org> parents: 31706 diff changeset	137 ## Test single inputs
8eeb49ec16d8 mpoles.m: Overhaul function and use absolute tolerance for zero poles (bug #63937) Rik <rik@octave.org> parents: 31706 diff changeset	138 %!test
8eeb49ec16d8 mpoles.m: Overhaul function and use absolute tolerance for zero poles (bug #63937) Rik <rik@octave.org> parents: 31706 diff changeset	139 %! [mp, ip] = mpoles (single ([-1e4, -0.1, 0]));
8eeb49ec16d8 mpoles.m: Overhaul function and use absolute tolerance for zero poles (bug #63937) Rik <rik@octave.org> parents: 31706 diff changeset	140 %! assert (mp, single ([1; 1; 1]));
8eeb49ec16d8 mpoles.m: Overhaul function and use absolute tolerance for zero poles (bug #63937) Rik <rik@octave.org> parents: 31706 diff changeset	141 %! assert (ip, [1; 2; 3]);
8eeb49ec16d8 mpoles.m: Overhaul function and use absolute tolerance for zero poles (bug #63937) Rik <rik@octave.org> parents: 31706 diff changeset	142
8eeb49ec16d8 mpoles.m: Overhaul function and use absolute tolerance for zero poles (bug #63937) Rik <rik@octave.org> parents: 31706 diff changeset	143 ## Test relative tolerance criteria
8eeb49ec16d8 mpoles.m: Overhaul function and use absolute tolerance for zero poles (bug #63937) Rik <rik@octave.org> parents: 31706 diff changeset	144 %!test
8eeb49ec16d8 mpoles.m: Overhaul function and use absolute tolerance for zero poles (bug #63937) Rik <rik@octave.org> parents: 31706 diff changeset	145 %! [mp, ip] = mpoles ([1, 1.1, 1.3], .1/1.1);
8eeb49ec16d8 mpoles.m: Overhaul function and use absolute tolerance for zero poles (bug #63937) Rik <rik@octave.org> parents: 31706 diff changeset	146 %! assert (mp, [1; 1; 1]);
8eeb49ec16d8 mpoles.m: Overhaul function and use absolute tolerance for zero poles (bug #63937) Rik <rik@octave.org> parents: 31706 diff changeset	147 %! [mp, ip] = mpoles ([1, 1.1, 1.3], .1/1.1 + eps);
8eeb49ec16d8 mpoles.m: Overhaul function and use absolute tolerance for zero poles (bug #63937) Rik <rik@octave.org> parents: 31706 diff changeset	148 %! assert (mp, [1; 1; 2]);
8eeb49ec16d8 mpoles.m: Overhaul function and use absolute tolerance for zero poles (bug #63937) Rik <rik@octave.org> parents: 31706 diff changeset	149
8eeb49ec16d8 mpoles.m: Overhaul function and use absolute tolerance for zero poles (bug #63937) Rik <rik@octave.org> parents: 31706 diff changeset	150 ## Test absolute tolerance criteria with a zero pole
8eeb49ec16d8 mpoles.m: Overhaul function and use absolute tolerance for zero poles (bug #63937) Rik <rik@octave.org> parents: 31706 diff changeset	151 %!test
8eeb49ec16d8 mpoles.m: Overhaul function and use absolute tolerance for zero poles (bug #63937) Rik <rik@octave.org> parents: 31706 diff changeset	152 %! [mp, ip] = mpoles ([0, -0.1, 0.3], .1);
8eeb49ec16d8 mpoles.m: Overhaul function and use absolute tolerance for zero poles (bug #63937) Rik <rik@octave.org> parents: 31706 diff changeset	153 %! assert (mp, [1; 1; 1]);
8eeb49ec16d8 mpoles.m: Overhaul function and use absolute tolerance for zero poles (bug #63937) Rik <rik@octave.org> parents: 31706 diff changeset	154 %! [mp, ip] = mpoles ([0, -0.1, 0.3], .1 + eps);
8eeb49ec16d8 mpoles.m: Overhaul function and use absolute tolerance for zero poles (bug #63937) Rik <rik@octave.org> parents: 31706 diff changeset	155 %! assert (mp, [1; 1; 2]);
8eeb49ec16d8 mpoles.m: Overhaul function and use absolute tolerance for zero poles (bug #63937) Rik <rik@octave.org> parents: 31706 diff changeset	156
8eeb49ec16d8 mpoles.m: Overhaul function and use absolute tolerance for zero poles (bug #63937) Rik <rik@octave.org> parents: 31706 diff changeset	157 ## Test input validation
8eeb49ec16d8 mpoles.m: Overhaul function and use absolute tolerance for zero poles (bug #63937) Rik <rik@octave.org> parents: 31706 diff changeset	158 %!error <Invalid call> mpoles ()
8eeb49ec16d8 mpoles.m: Overhaul function and use absolute tolerance for zero poles (bug #63937) Rik <rik@octave.org> parents: 31706 diff changeset	159 %!error <P must be a single or double floating point vector> mpoles (uint8 (1))
8eeb49ec16d8 mpoles.m: Overhaul function and use absolute tolerance for zero poles (bug #63937) Rik <rik@octave.org> parents: 31706 diff changeset	160 %!error <TOL must be a real scalar greater than 0> mpoles (1, [1, 2])
8eeb49ec16d8 mpoles.m: Overhaul function and use absolute tolerance for zero poles (bug #63937) Rik <rik@octave.org> parents: 31706 diff changeset	161 %!error <TOL must be a real scalar greater than 0> mpoles (1, 1i)
8eeb49ec16d8 mpoles.m: Overhaul function and use absolute tolerance for zero poles (bug #63937) Rik <rik@octave.org> parents: 31706 diff changeset	162 %!error <TOL must be a real scalar greater than 0> mpoles (1, 0)
8eeb49ec16d8 mpoles.m: Overhaul function and use absolute tolerance for zero poles (bug #63937) Rik <rik@octave.org> parents: 31706 diff changeset	163 %!error <REORDER must be a numeric or logical scalar> mpoles (1, 1, [1, 2])
8eeb49ec16d8 mpoles.m: Overhaul function and use absolute tolerance for zero poles (bug #63937) Rik <rik@octave.org> parents: 31706 diff changeset	164 %!error <REORDER must be a numeric or logical scalar> mpoles (1, 1, {1})

Mercurial > octave

annotate scripts/polynomial/mpoles.m @ 33625:d213a148b3f1 default tip @