Mercurial > octave-nkf
view scripts/polynomial/polyaffine.m @ 20266:83792dd9bcc1
Use in-place operators in m-files where possible.
* scripts/audio/@audioplayer/set.m, scripts/audio/@audiorecorder/set.m,
scripts/audio/mu2lin.m, scripts/elfun/cosd.m, scripts/general/del2.m,
scripts/general/profexplore.m, scripts/general/quadl.m, scripts/general/rat.m,
scripts/general/rotdim.m, scripts/help/get_first_help_sentence.m,
scripts/help/private/__strip_html_tags__.m, scripts/image/cubehelix.m,
scripts/io/textread.m, scripts/linear-algebra/duplication_matrix.m,
scripts/linear-algebra/housh.m, scripts/linear-algebra/krylov.m,
scripts/linear-algebra/logm.m, scripts/linear-algebra/normest.m,
scripts/linear-algebra/onenormest.m, scripts/optimization/fminsearch.m,
scripts/optimization/lsqnonneg.m, scripts/optimization/qp.m,
scripts/plot/appearance/annotation.m, scripts/plot/appearance/axis.m,
scripts/plot/appearance/legend.m, scripts/plot/appearance/specular.m,
scripts/plot/draw/colorbar.m, scripts/plot/draw/hist.m,
scripts/plot/draw/plotmatrix.m, scripts/plot/draw/private/__stem__.m,
scripts/plot/util/__actual_axis_position__.m,
scripts/plot/util/__gnuplot_drawnow__.m, scripts/plot/util/findobj.m,
scripts/plot/util/print.m, scripts/plot/util/private/__go_draw_axes__.m,
scripts/plot/util/private/__print_parse_opts__.m, scripts/plot/util/rotate.m,
scripts/polynomial/pchip.m, scripts/polynomial/polyaffine.m,
scripts/polynomial/polyder.m, scripts/polynomial/private/__splinefit__.m,
scripts/polynomial/residue.m, scripts/signal/arch_fit.m,
scripts/signal/arch_rnd.m, scripts/signal/bartlett.m,
scripts/signal/blackman.m, scripts/signal/freqz.m, scripts/signal/hamming.m,
scripts/signal/hanning.m, scripts/signal/spectral_adf.m,
scripts/signal/spectral_xdf.m, scripts/signal/stft.m,
scripts/sparse/bicgstab.m, scripts/sparse/cgs.m,
scripts/sparse/private/__sprand_impl__.m, scripts/sparse/qmr.m,
scripts/sparse/sprandsym.m, scripts/sparse/svds.m, scripts/specfun/legendre.m,
scripts/special-matrix/gallery.m, scripts/statistics/base/gls.m,
scripts/statistics/models/logistic_regression.m,
scripts/statistics/tests/kruskal_wallis_test.m,
scripts/statistics/tests/manova.m, scripts/statistics/tests/wilcoxon_test.m,
scripts/time/datevec.m:
Use in-place operators in m-files where possible.
author | Rik <rik@octave.org> |
---|---|
date | Tue, 26 May 2015 21:07:42 -0700 |
parents | f1d0f506ee78 |
children |
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## Copyright (C) 2009-2015 Tony Richardson, Jaroslav Hajek ## ## This file is part of Octave. ## ## Octave is free software; you can redistribute it and/or modify it ## under the terms of the GNU General Public License as published by ## the Free Software Foundation; either version 3 of the License, or (at ## your option) any later version. ## ## Octave is distributed in the hope that it will be useful, but ## WITHOUT ANY WARRANTY; without even the implied warranty of ## MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU ## General Public License for more details. ## ## You should have received a copy of the GNU General Public License ## along with Octave; see the file COPYING. If not, see ## <http://www.gnu.org/licenses/>. ## -*- texinfo -*- ## @deftypefn {Function File} {} polyaffine (@var{f}, @var{mu}) ## Return the coefficients of the polynomial vector @var{f} after an affine ## transformation. ## ## If @var{f} is the vector representing the polynomial f(x), then ## @code{@var{g} = polyaffine (@var{f}, @var{mu})} is the vector representing: ## ## @example ## g(x) = f( (x - @var{mu}(1)) / @var{mu}(2) ) ## @end example ## ## @seealso{polyval, polyfit} ## @end deftypefn function g = polyaffine (f, mu) if (nargin != 2) print_usage (); endif if (! isvector (f)) error ("polyaffine: F must be a vector"); endif if (! isvector (mu) || length (mu) != 2) error ("polyaffine: MU must be a two-element vector"); endif lf = length (f); ## Ensure that f is a row vector if (rows (f) > 1) f = f.'; endif g = f; ## Scale. if (mu(2) != 1) g ./= mu(2) .^ (lf-1:-1:0); endif ## Translate. if (mu(1) != 0) w = (-mu(1)) .^ (0:lf-1); ii = lf:-1:1; g = g(ii) * (toeplitz (w) .* pascal (lf, -1)); g = g(ii); endif endfunction %!demo %! f = [1/5 4/5 -7/5 -2]; %! g = polyaffine (f, [1, 1.2]); %! x = linspace (-4,4,100); %! plot (x,polyval (f, x), x,polyval (g, x)); %! legend ("original", "affine"); %! axis ([-4 4 -3 5]); %! grid on; %!test %! f = [1/5 4/5 -7/5 -2]; %! mu = [1, 1.2]; %! g = polyaffine (f, mu); %! x = linspace (-4,4,100); %! assert (polyval (f, x, [], mu), polyval (g, x), 1e-10);