Mercurial > octave
annotate scripts/polynomial/mpoles.m @ 28789:28de41192f3c
Eliminate unneeded verification of nargin, nargout in m-files.
* FIRfilter.m, FIRfilter_aggregation.m, get.m, polynomial.m,
polynomial_superiorto.m, polynomial2.m, makeUniqueStrings.m, base64decode.m,
base64encode.m, cd.m, lin2mu.m, record.m, sound.m, soundsc.m, accumarray.m,
accumdim.m, bitcmp.m, bitset.m, cart2pol.m, celldisp.m, circshift.m,
cplxpair.m, cumtrapz.m, flip.m, idivide.m, interpft.m, logspace.m, pol2cart.m,
polyarea.m, postpad.m, prepad.m, rat.m, rot90.m, rotdim.m, shift.m, shiftdim.m,
sortrows.m, trapz.m, dsearch.m, dsearchn.m, getappdata.m, getpixelposition.m,
guidata.m, guihandles.m, isappdata.m, listfonts.m, uigetdir.m,
waitforbuttonpress.m, __makeinfo__.m, doc.m, get_first_help_sentence.m,
autumn.m, bone.m, brighten.m, cmpermute.m, cmunique.m, colorcube.m, contrast.m,
cool.m, copper.m, cubehelix.m, flag.m, gray.m, gray2ind.m, hot.m, hsv.m,
im2double.m, im2frame.m, imformats.m, jet.m, lines.m, ocean.m, pink.m, prism.m,
rainbow.m, rgbplot.m, spinmap.m, spring.m, summer.m, viridis.m, white.m,
winter.m, beep.m, importdata.m, is_valid_file_id.m, javachk.m, javaclasspath.m,
findstr.m, genvarname.m, strmatch.m, bandwidth.m, commutation_matrix.m, cond.m,
cross.m, isdefinite.m, ishermitian.m, issymmetric.m, krylov.m, linsolve.m,
logm.m, lscov.m, null.m, ordeig.m, orth.m, rank.m, rref.m, vecnorm.m,
bunzip2.m, citation.m, computer.m, copyfile.m, dir.m, dos.m, fileattrib.m,
gunzip.m, inputParser.m, inputname.m, ismac.m, ispc.m, isunix.m, license.m,
list_primes.m, methods.m, mkdir.m, movefile.m, nargchk.m, news.m,
orderfields.m, recycle.m, tar.m, unix.m, unpack.m, untar.m, unzip.m, ver.m,
version.m, what.m, zip.m, decic.m, fminbnd.m, fminunc.m, fsolve.m, fzero.m,
glpk.m, humps.m, lsqnonneg.m, optimget.m, pqpnonneg.m, sqp.m, pathdef.m,
camlookat.m, hidden.m, specular.m, plotmatrix.m, smooth3.m, sombrero.m,
stemleaf.m, __gnuplot_drawnow__.m, __opengl_info__.m, ancestor.m, cla.m,
close.m, closereq.m, copyobj.m, gca.m, gcf.m, ginput.m, graphics_toolkit.m,
groot.m, hgload.m, hgsave.m, isgraphics.m, ishold.m, linkaxes.m, meshgrid.m,
newplot.m, refresh.m, refreshdata.m, rotate.m, saveas.m, struct2hdl.m, conv.m,
mkpp.m, mpoles.m, padecoef.m, pchip.m, polyder.m, polyfit.m, polygcd.m,
polyint.m, polyout.m, polyval.m, ppder.m, ppint.m, getpref.m, ispref.m,
rmpref.m, profexport.m, profshow.m, powerset.m, arch_fit.m, arma_rnd.m,
blackman.m, detrend.m, diffpara.m, fftconv.m, fftfilt.m, filter2.m, freqz.m,
freqz_plot.m, hamming.m, hanning.m, sinetone.m, sinewave.m, spectral_adf.m,
spectral_xdf.m, stft.m, unwrap.m, gplot.m, ichol.m, ilu.m, spdiags.m, sprand.m,
sprandn.m, spstats.m, svds.m, treelayout.m, treeplot.m, betainc.m,
betaincinv.m, ellipke.m, gammainc.m, gammaincinv.m, legendre.m, pow2.m,
hankel.m, pascal.m, rosser.m, toeplitz.m, bounds.m, corr.m, cov.m, histc.m,
kendall.m, kurtosis.m, mad.m, mode.m, moment.m, prctile.m, quantile.m, range.m,
ranks.m, run_count.m, skewness.m, spearman.m, std.m, var.m, zscore.m,
dec2base.m, dec2bin.m, dec2hex.m, index.m, mat2str.m, native2unicode.m,
ostrsplit.m, strjoin.m, strjust.m, strtok.m, substr.m, unicode2native.m,
untabify.m, __debug_octave__.m, demo.m, example.m, fail.m, oruntests.m,
dump_demos.m, speed.m, test.m, date.m, datenum.m, datestr.m, datevec.m,
is_leap_year.m, now.m, weekday.m:
Eliminate unneeded verification of nargin, nargout in m-files now that
the interpreter checks these values.
author | Rik <rik@octave.org> |
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date | Thu, 24 Sep 2020 14:44:58 -0700 |
parents | 9f9ac219896d |
children | 7854d5752dd2 |
rev | line source |
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1 ######################################################################## |
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2 ## |
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3 ## Copyright (C) 2007-2020 The Octave Project Developers |
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4 ## |
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5 ## See the file COPYRIGHT.md in the top-level directory of this |
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6 ## distribution or <https://octave.org/copyright/>. |
6964 | 7 ## |
8 ## This file is part of Octave. | |
9 ## | |
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10 ## Octave is free software: you can redistribute it and/or modify it |
6964 | 11 ## under the terms of the GNU General Public License as published by |
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12 ## the Free Software Foundation, either version 3 of the License, or |
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13 ## (at your option) any later version. |
6964 | 14 ## |
15 ## Octave is distributed in the hope that it will be useful, but | |
16 ## WITHOUT ANY WARRANTY; without even the implied warranty of | |
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17 ## MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the |
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18 ## GNU General Public License for more details. |
6964 | 19 ## |
20 ## You should have received a copy of the GNU General Public License | |
7016 | 21 ## along with Octave; see the file COPYING. If not, see |
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22 ## <https://www.gnu.org/licenses/>. |
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23 ## |
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24 ######################################################################## |
6964 | 25 |
26 ## -*- texinfo -*- | |
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27 ## @deftypefn {} {[@var{multp}, @var{idxp}] =} mpoles (@var{p}) |
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28 ## @deftypefnx {} {[@var{multp}, @var{idxp}] =} mpoles (@var{p}, @var{tol}) |
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29 ## @deftypefnx {} {[@var{multp}, @var{idxp}] =} mpoles (@var{p}, @var{tol}, @var{reorder}) |
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30 ## Identify unique poles in @var{p} and their associated multiplicity. |
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31 ## |
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32 ## The output is ordered from largest pole to smallest pole. |
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33 ## |
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34 ## If the relative difference of two poles is less than @var{tol} then they are |
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35 ## considered to be multiples. The default value for @var{tol} is 0.001. |
6964 | 36 ## |
37 ## If the optional parameter @var{reorder} is zero, poles are not sorted. | |
38 ## | |
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39 ## The output @var{multp} is a vector specifying the multiplicity of the poles. |
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40 ## @code{@var{multp}(n)} refers to the multiplicity of the Nth pole |
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41 ## @code{@var{p}(@var{idxp}(n))}. |
6964 | 42 ## |
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43 ## For example: |
6964 | 44 ## |
45 ## @example | |
46 ## @group | |
47 ## p = [2 3 1 1 2]; | |
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48 ## [m, n] = mpoles (p) |
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49 ## @result{} m = [1; 1; 2; 1; 2] |
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50 ## @result{} n = [2; 5; 1; 4; 3] |
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51 ## @result{} p(n) = [3, 2, 2, 1, 1] |
6964 | 52 ## @end group |
53 ## @end example | |
54 ## | |
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55 ## @seealso{residue, poly, roots, conv, deconv} |
6964 | 56 ## @end deftypefn |
57 | |
58 function [multp, indx] = mpoles (p, tol, reorder) | |
59 | |
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60 if (nargin < 1) |
6964 | 61 print_usage (); |
62 endif | |
63 | |
64 if (nargin < 2 || isempty (tol)) | |
65 tol = 0.001; | |
66 endif | |
67 | |
68 if (nargin < 3 || isempty (reorder)) | |
69 reorder = true; | |
70 endif | |
71 | |
72 Np = numel (p); | |
73 | |
74 ## Force the poles to be a column vector. | |
75 | |
76 p = p(:); | |
77 | |
78 ## Sort the poles according to their magnitidues, largest first. | |
79 | |
80 if (reorder) | |
81 ## Sort with smallest magnitude first. | |
82 [p, ordr] = sort (p); | |
83 ## Reverse order, largest maginitude first. | |
84 n = Np:-1:1; | |
85 p = p(n); | |
86 ordr = ordr(n); | |
87 else | |
88 ordr = 1:Np; | |
89 endif | |
90 | |
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91 ## Find pole multiplicity by comparing the relative difference in the |
6964 | 92 ## poles. |
93 | |
94 multp = zeros (Np, 1); | |
95 indx = []; | |
96 n = find (multp == 0, 1); | |
97 while (n) | |
98 dp = abs (p-p(n)); | |
99 if (p(n) == 0.0) | |
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100 if (any (abs (p) > 0 & isfinite (p))) |
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101 p0 = mean (abs (p(abs (p) > 0 & isfinite (p)))); |
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102 else |
6964 | 103 p0 = 1; |
7151 | 104 endif |
6964 | 105 else |
106 p0 = abs (p(n)); | |
107 endif | |
108 k = find (dp < tol * p0); | |
7360 | 109 ## Poles can only be members of one multiplicity group. |
110 if (numel (indx)) | |
111 k = k(! ismember (k, indx)); | |
112 endif | |
6964 | 113 m = 1:numel (k); |
114 multp(k) = m; | |
115 indx = [indx; k]; | |
116 n = find (multp == 0, 1); | |
117 endwhile | |
118 multp = multp(indx); | |
6998 | 119 indx = ordr(indx); |
6964 | 120 |
121 endfunction | |
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122 |
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123 |
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124 %!test |
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125 %! [mp, n] = mpoles ([0 0], 0.01); |
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126 %! assert (mp, [1; 2]); |