Mercurial > octave-nkf
view scripts/specfun/bessel.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 | 7239100e8570 |
children |
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## Copyright (C) 1996-2015 John W. Eaton ## ## 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 {Loadable Function} {[@var{j}, @var{ierr}] =} besselj (@var{alpha}, @var{x}, @var{opt}) ## @deftypefnx {Loadable Function} {[@var{y}, @var{ierr}] =} bessely (@var{alpha}, @var{x}, @var{opt}) ## @deftypefnx {Loadable Function} {[@var{i}, @var{ierr}] =} besseli (@var{alpha}, @var{x}, @var{opt}) ## @deftypefnx {Loadable Function} {[@var{k}, @var{ierr}] =} besselk (@var{alpha}, @var{x}, @var{opt}) ## @deftypefnx {Loadable Function} {[@var{h}, @var{ierr}] =} besselh (@var{alpha}, @var{k}, @var{x}, @var{opt}) ## Compute Bessel or Hankel functions of various kinds: ## ## @table @code ## @item besselj ## Bessel functions of the first kind. If the argument @var{opt} is supplied, ## the result is multiplied by @code{exp (-abs (imag (x)))}. ## ## @item bessely ## Bessel functions of the second kind. If the argument @var{opt} is supplied, ## the result is multiplied by @w{@code{exp (-abs (imag (x)))}}. ## ## @item besseli ## Modified Bessel functions of the first kind. If the argument @var{opt} is ## supplied, the result is multiplied by @w{@code{exp (-abs (real (x)))}}. ## ## @item besselk ## Modified Bessel functions of the second kind. If the argument @var{opt} is ## supplied, the result is multiplied by @w{@code{exp (x)}}. ## ## @item besselh ## Compute Hankel functions of the first (@var{k} = 1) or second (@var{k} = 2) ## kind. If the argument @var{opt} is supplied, the result is multiplied by ## @w{@code{exp (-I*@var{x})}} for @var{k} = 1 or @w{@code{exp (I*@var{x})}} ## for @var{k} = 2. ## @end table ## ## If @var{alpha} is a scalar, the result is the same size as @var{x}. ## If @var{x} is a scalar, the result is the same size as @var{alpha}. ## If @var{alpha} is a row vector and @var{x} is a column vector, the ## result is a matrix with @code{length (@var{x})} rows and ## @code{length (@var{alpha})} columns. Otherwise, @var{alpha} and ## @var{x} must conform and the result will be the same size. ## ## The value of @var{alpha} must be real. The value of @var{x} may be complex. ## ## If requested, @var{ierr} contains the following status information and is ## the same size as the result. ## ## @enumerate 0 ## @item ## Normal return. ## ## @item ## Input error, return @code{NaN}. ## ## @item ## Overflow, return @code{Inf}. ## ## @item ## Loss of significance by argument reduction results in less than half of ## machine accuracy. ## ## @item ## Complete loss of significance by argument reduction, return @code{NaN}. ## ## @item ## Error---no computation, algorithm termination condition not met, ## return @code{NaN}. ## @end enumerate ## @end deftypefn function bessel () error ("bessel: you must use besselj, bessely, besseli, besselk, or besselh\n"); endfunction %!error bessel ()