Mercurial > octave-nkf
annotate scripts/specfun/bessel.m @ 17338:1c89599167a6
maint: End m-files with 1 blank line.
Simplifies automated grammarchecking script.
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scripts/@ftp/close.m, scripts/@ftp/delete.m, scripts/@ftp/dir.m,
scripts/@ftp/display.m, scripts/@ftp/ftp.m, scripts/@ftp/loadobj.m,
scripts/@ftp/mget.m, scripts/@ftp/mkdir.m, scripts/@ftp/mput.m,
scripts/@ftp/rename.m, scripts/@ftp/rmdir.m, scripts/@ftp/saveobj.m,
scripts/audio/lin2mu.m, scripts/audio/loadaudio.m, scripts/audio/mu2lin.m,
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scripts/deprecated/__error_text__.m, scripts/deprecated/cut.m,
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scripts/deprecated/polyderiv.m, scripts/deprecated/studentize.m,
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scripts/plot/axes.m, scripts/plot/box.m, scripts/plot/closereq.m,
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scripts/plot/private/__uigetfile_fltk__.m,
scripts/plot/private/__uiobject_split_args__.m,
scripts/plot/private/__uiputfile_fltk__.m, scripts/plot/refresh.m,
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scripts/signal/freqz.m, scripts/signal/freqz_plot.m, scripts/signal/hurst.m,
scripts/signal/periodogram.m, scripts/signal/private/rectangle_lw.m,
scripts/signal/private/rectangle_sw.m, scripts/signal/private/triangle_sw.m,
scripts/signal/spectral_adf.m, scripts/signal/spectral_xdf.m,
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scripts/special-matrix/gallery.m, scripts/startup/__finish__.m,
scripts/statistics/base/qqplot.m, scripts/statistics/distributions/tcdf.m,
scripts/statistics/distributions/wienrnd.m,
scripts/statistics/models/logistic_regression.m,
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scripts/statistics/models/private/logistic_regression_likelihood.m,
scripts/statistics/tests/anova.m, scripts/statistics/tests/bartlett_test.m,
scripts/statistics/tests/chisquare_test_homogeneity.m,
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scripts/statistics/tests/cor_test.m,
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scripts/statistics/tests/z_test_2.m, scripts/strings/strcat.m,
scripts/strings/strjoin.m, scripts/strings/strsplit.m,
scripts/testfun/__have_feature__.m, scripts/testfun/__printf_assert__.m,
scripts/testfun/__prog_output_assert__.m, scripts/testfun/__run_test_suite__.m,
scripts/time/clock.m, scripts/time/datenum.m, scripts/ui/errordlg.m,
scripts/ui/private/message_dialog.m: End m-files with 1 blank line.
| author | Rik <rik@octave.org> |
|---|---|
| date | Wed, 28 Aug 2013 08:33:02 -0700 |
| parents | 5d3a684236b0 |
| children | d63878346099 |
| 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 () |
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96 |