Mercurial > hg > octave-nkf
annotate scripts/specfun/bessel.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 | 1c89599167a6 |
rev | line source |
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1 ## Copyright (C) 1996-2012 John W. Eaton |
3276 | 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. | |
3276 | 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/>. | |
3276 | 18 |
3321 | 19 ## -*- texinfo -*- |
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20 ## @deftypefn {Loadable Function} {[@var{j}, @var{ierr}] =} besselj (@var{alpha}, @var{x}, @var{opt}) |
7173 | 21 ## @deftypefnx {Loadable Function} {[@var{y}, @var{ierr}] =} bessely (@var{alpha}, @var{x}, @var{opt}) |
22 ## @deftypefnx {Loadable Function} {[@var{i}, @var{ierr}] =} besseli (@var{alpha}, @var{x}, @var{opt}) | |
23 ## @deftypefnx {Loadable Function} {[@var{k}, @var{ierr}] =} besselk (@var{alpha}, @var{x}, @var{opt}) | |
24 ## @deftypefnx {Loadable Function} {[@var{h}, @var{ierr}] =} besselh (@var{alpha}, @var{k}, @var{x}, @var{opt}) | |
25 ## Compute Bessel or Hankel functions of various kinds: | |
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26 ## |
3321 | 27 ## @table @code |
28 ## @item besselj | |
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29 ## Bessel functions of the first kind. If the argument @var{opt} is supplied, |
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30 ## the result is multiplied by @code{exp (-abs (imag (x)))}. |
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31 ## |
3321 | 32 ## @item bessely |
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33 ## Bessel functions of the second kind. If the argument @var{opt} is supplied, |
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34 ## the result is multiplied by @code{exp (-abs (imag (x)))}. |
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35 ## |
3321 | 36 ## @item besseli |
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37 ## Modified Bessel functions of the first kind. If the argument @var{opt} is |
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38 ## supplied, |
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39 ## the result is multiplied by @code{exp (-abs (real (x)))}. |
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40 ## |
3321 | 41 ## @item besselk |
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42 ## Modified Bessel functions of the second kind. If the argument @var{opt} is |
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43 ## supplied, |
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44 ## the result is multiplied by @code{exp (x)}. |
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45 ## |
7173 | 46 ## @item besselh |
47 ## Compute Hankel functions of the first (@var{k} = 1) or second (@var{k} | |
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48 ## = 2) kind. If the argument @var{opt} is supplied, the result is multiplied |
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49 ## by |
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50 ## @code{exp (-I*@var{x})} for @var{k} = 1 or @code{exp (I*@var{x})} for |
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51 ## @var{k} = 2. |
3321 | 52 ## @end table |
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53 ## |
3321 | 54 ## If @var{alpha} is a scalar, the result is the same size as @var{x}. |
7173 | 55 ## If @var{x} is a scalar, the result is the same size as @var{alpha}. |
56 ## If @var{alpha} is a row vector and @var{x} is a column vector, the | |
57 ## result is a matrix with @code{length (@var{x})} rows and | |
58 ## @code{length (@var{alpha})} columns. Otherwise, @var{alpha} and | |
59 ## @var{x} must conform and the result will be the same size. | |
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60 ## |
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61 ## The value of @var{alpha} must be real. The value of @var{x} may be |
7173 | 62 ## complex. |
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63 ## |
7173 | 64 ## If requested, @var{ierr} contains the following status information |
65 ## and is the same size as the result. | |
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66 ## |
7173 | 67 ## @enumerate 0 |
68 ## @item | |
69 ## Normal return. | |
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70 ## |
7173 | 71 ## @item |
72 ## Input error, return @code{NaN}. | |
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73 ## |
7173 | 74 ## @item |
75 ## Overflow, return @code{Inf}. | |
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76 ## |
7173 | 77 ## @item |
78 ## Loss of significance by argument reduction results in less than | |
79 ## half of machine accuracy. | |
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80 ## |
7173 | 81 ## @item |
82 ## Complete loss of significance by argument reduction, return @code{NaN}. | |
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83 ## |
7173 | 84 ## @item |
85 ## Error---no computation, algorithm termination condition not met, | |
86 ## return @code{NaN}. | |
87 ## @end enumerate | |
3321 | 88 ## @end deftypefn |
3276 | 89 |
90 function bessel () | |
91 error ("bessel: you must use besselj, bessely, besseli, or besselk"); | |
92 endfunction | |
3321 | 93 |
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94 |
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95 %!error bessel () |