Mercurial > hg > octave-nkf
annotate scripts/polynomial/polyder.m @ 14868:5d3a684236b0
maint: Use Octave coding conventions for cuddling parentheses in scripts directory
* lin2mu.m, loadaudio.m, wavread.m, accumarray.m, bicubic.m, celldisp.m,
colon.m, cplxpair.m, dblquad.m, divergence.m, genvarname.m, gradient.m,
int2str.m, interp1.m, interp1q.m, interp2.m, interpn.m, loadobj.m, nthargout.m,
__isequal__.m, __splinen__.m, quadgk.m, quadl.m, quadv.m, rat.m, rot90.m,
rotdim.m, saveobj.m, subsindex.m, triplequad.m, delaunay3.m, griddata.m,
inpolygon.m, tsearchn.m, voronoi.m, get_first_help_sentence.m, which.m,
gray2ind.m, pink.m, dlmwrite.m, strread.m, textread.m, textscan.m, housh.m,
ishermitian.m, issymmetric.m, krylov.m, logm.m, null.m, rref.m,
compare_versions.m, copyfile.m, dump_prefs.m, edit.m, fileparts.m,
getappdata.m, isappdata.m, movefile.m, orderfields.m, parseparams.m,
__xzip__.m, rmappdata.m, setappdata.m, swapbytes.m, unpack.m, ver.m, fminbnd.m,
fminunc.m, fsolve.m, glpk.m, lsqnonneg.m, qp.m, sqp.m, configure_make.m,
copy_files.m, describe.m, get_description.m, get_forge_pkg.m, install.m,
installed_packages.m, is_architecture_dependent.m, load_package_dirs.m,
print_package_description.m, rebuild.m, repackage.m, save_order.m, shell.m,
allchild.m, ancestor.m, area.m, axes.m, axis.m, clabel.m, close.m, colorbar.m,
comet.m, comet3.m, contour.m, cylinder.m, ezmesh.m, ezsurf.m, findobj.m,
fplot.m, hist.m, isocolors.m, isonormals.m, isosurface.m, isprop.m, legend.m,
mesh.m, meshz.m, pareto.m, pcolor.m, peaks.m, plot3.m, plotmatrix.m, plotyy.m,
polar.m, print.m, __add_datasource__.m, __add_default_menu__.m,
__axes_limits__.m, __bar__.m, __clabel__.m, __contour__.m, __errcomm__.m,
__errplot__.m, __ezplot__.m, __file_filter__.m, __fltk_print__.m,
__ghostscript__.m, __gnuplot_print__.m, __go_draw_axes__.m,
__go_draw_figure__.m, __interp_cube__.m, __marching_cube__.m, __patch__.m,
__pie__.m, __plt__.m, __print_parse_opts__.m, __quiver__.m, __scatter__.m,
__stem__.m, __tight_eps_bbox__.m, __uigetdir_fltk__.m, __uigetfile_fltk__.m,
__uiputfile_fltk__.m, quiver.m, quiver3.m, rectangle.m, refreshdata.m,
ribbon.m, scatter.m, semilogy.m, shading.m, slice.m, subplot.m, surface.m,
surfl.m, surfnorm.m, text.m, uigetfile.m, uiputfile.m, whitebg.m, deconv.m,
mkpp.m, pchip.m, polyaffine.m, polyder.m, polygcd.m, polyout.m, polyval.m,
ppint.m, ppjumps.m, ppval.m, residue.m, roots.m, spline.m, splinefit.m,
addpref.m, getpref.m, setpref.m, ismember.m, setxor.m, arch_fit.m, arch_rnd.m,
arch_test.m, autoreg_matrix.m, diffpara.m, fftconv.m, filter2.m, hanning.m,
hurst.m, periodogram.m, triangle_sw.m, sinc.m, spectral_xdf.m, spencer.m,
stft.m, synthesis.m, unwrap.m, yulewalker.m, bicgstab.m, gmres.m, pcg.m, pcr.m,
__sprand_impl__.m, speye.m, spfun.m, sprandn.m, spstats.m, svds.m,
treelayout.m, treeplot.m, bessel.m, factor.m, legendre.m, perms.m, primes.m,
magic.m, toeplitz.m, corr.m, cov.m, mean.m, median.m, mode.m, qqplot.m,
quantile.m, ranks.m, zscore.m, logistic_regression_likelihood.m,
bartlett_test.m, chisquare_test_homogeneity.m, chisquare_test_independence.m,
kolmogorov_smirnov_test.m, run_test.m, u_test.m, wilcoxon_test.m, z_test.m,
z_test_2.m, bin2dec.m, dec2base.m, mat2str.m, strcat.m, strchr.m, strjust.m,
strtok.m, substr.m, untabify.m, assert.m, demo.m, example.m, fail.m, speed.m,
test.m, now.m: Use Octave coding conventions for cuddling parentheses in
scripts directory.
author | Rik <octave@nomad.inbox5.com> |
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date | Tue, 17 Jul 2012 07:08:39 -0700 |
parents | f3d52523cde1 |
children | d63878346099 |
rev | line source |
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1 ## Copyright (C) 1994-2012 John W. Eaton |
2313 | 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. | |
2313 | 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/>. | |
1597 | 18 |
3458 | 19 ## -*- texinfo -*- |
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20 ## @deftypefn {Function File} {} polyder (@var{p}) |
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21 ## @deftypefnx {Function File} {[@var{k}] =} polyder (@var{a}, @var{b}) |
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22 ## @deftypefnx {Function File} {[@var{q}, @var{d}] =} polyder (@var{b}, @var{a}) |
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23 ## Return the coefficients of the derivative of the polynomial whose |
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24 ## coefficients are given by the vector @var{p}. If a pair of polynomials |
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25 ## is given, return the derivative of the product @math{@var{a}*@var{b}}. |
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26 ## If two inputs and two outputs are given, return the derivative of the |
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27 ## polynomial quotient @math{@var{b}/@var{a}}. The quotient numerator is |
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28 ## in @var{q} and the denominator in @var{d}. |
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29 ## @seealso{polyint, polyval, polyreduce} |
3458 | 30 ## @end deftypefn |
1597 | 31 |
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32 ## Author: Tony Richardson <arichard@stark.cc.oh.us> |
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33 ## Created: June 1994 |
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34 ## Adapted-By: jwe |
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36 function [q, d] = polyder (p, a) |
1597 | 37 |
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38 if (nargin == 1 || nargin == 2) |
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39 if (! isvector (p)) |
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40 error ("polyder: argument must be a vector"); |
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41 endif |
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42 if (nargin == 2) |
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43 if (! isvector (a)) |
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44 error ("polyder: argument must be a vector"); |
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45 endif |
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46 if (nargout == 1) |
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47 ## derivative of p*a returns a single polynomial |
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48 q = polyder (conv (p, a)); |
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49 else |
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50 ## derivative of p/a returns numerator and denominator |
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51 d = conv (a, a); |
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52 if (numel (p) == 1) |
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53 q = -p * polyder (a); |
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54 elseif (numel (a) == 1) |
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55 q = a * polyder (p); |
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56 else |
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57 q = conv (polyder (p), a) - conv (p, polyder (a)); |
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58 q = polyreduce (q); |
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59 endif |
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60 |
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61 ## remove common factors from numerator and denominator |
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62 x = polygcd (q, d); |
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63 if (length (x) != 1) |
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64 q = deconv (q, x); |
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65 d = deconv (d, x); |
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66 endif |
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67 |
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68 ## move all the gain into the numerator |
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69 q = q/d(1); |
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70 d = d/d(1); |
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71 endif |
5216 | 72 else |
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73 lp = numel (p); |
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74 if (lp == 1) |
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75 q = 0; |
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76 return; |
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77 elseif (lp == 0) |
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78 q = []; |
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79 return; |
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80 endif |
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81 |
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82 ## Force P to be a row vector. |
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83 p = p(:).'; |
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84 |
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85 q = p(1:(lp-1)) .* [(lp-1):-1:1]; |
5216 | 86 endif |
1597 | 87 else |
6046 | 88 print_usage (); |
1597 | 89 endif |
90 | |
91 endfunction | |
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92 |
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93 |
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94 %!assert (polyder ([1, 2, 3], [2, 2])) |
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95 %!assert (polyder (13), 0) |
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96 |
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97 %!error polyder ([]) |
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98 %!error polyder (1,2,3) |
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99 %!error <argument must be a vector> polyder ([1, 2; 3, 4]) |
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100 |