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annotate scripts/specfun/beta.m @ 14363:f3d52523cde1
Use Octave coding conventions in all m-file %!test blocks
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get_first_help_sentence.m, help.m, type.m, unimplemented.m, which.m, imread.m,
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setappdata.m, setfield.m, substruct.m, symvar.m, ver.m, version.m,
warning_ids.m, xor.m, fminbnd.m, fsolve.m, fzero.m, lsqnonneg.m, optimset.m,
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ishghandle.m, ishold.m, isocolors.m, isonormals.m, isosurface.m, isprop.m,
legend.m, line.m, loglog.m, loglogerr.m, meshgrid.m, ndgrid.m, newplot.m,
orient.m, patch.m, plot3.m, plotyy.m, __print_parse_opts__.m, quiver3.m,
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deconv.m, mkpp.m, mpoles.m, pchip.m, poly.m, polyaffine.m, polyder.m,
polyfit.m, polygcd.m, polyint.m, polyout.m, polyval.m, polyvalm.m, ppder.m,
ppint.m, ppjumps.m, ppval.m, residue.m, roots.m, spline.m, intersect.m,
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autoreg_matrix.m, bartlett.m, blackman.m, detrend.m, fftconv.m, fftfilt.m,
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sprand.m, sprandsym.m, spstats.m, spy.m, svds.m, treelayout.m, bessel.m,
beta.m, betaln.m, factor.m, factorial.m, isprime.m, lcm.m, legendre.m,
nchoosek.m, nthroot.m, perms.m, pow2.m, primes.m, reallog.m, realpow.m,
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statistics.m, std.m, table.m, var.m, zscore.m, betacdf.m, betainv.m, betapdf.m,
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hygecdf.m, hygeinv.m, hygepdf.m, hygernd.m, kolmogorov_smirnov_cdf.m,
laplace_cdf.m, laplace_inv.m, laplace_pdf.m, laplace_rnd.m, logistic_cdf.m,
logistic_inv.m, logistic_pdf.m, logistic_rnd.m, logncdf.m, logninv.m,
lognpdf.m, lognrnd.m, nbincdf.m, nbininv.m, nbinpdf.m, nbinrnd.m, normcdf.m,
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wblrnd.m, kolmogorov_smirnov_test.m, kruskal_wallis_test.m, base2dec.m,
bin2dec.m, blanks.m, cstrcat.m, deblank.m, dec2base.m, dec2bin.m, dec2hex.m,
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Use Octave coding conventions in all m-file %!test blocks
author | Rik <octave@nomad.inbox5.com> |
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date | Mon, 13 Feb 2012 07:29:44 -0800 |
parents | 72c96de7a403 |
children | 67897baaa05f |
rev | line source |
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maint: update copyright notices for 2012
John W. Eaton <jwe@octave.org>
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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/>. | |
1026 | 18 |
3381 | 19 ## -*- texinfo -*- |
3321 | 20 ## @deftypefn {Mapping Function} {} beta (@var{a}, @var{b}) |
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21 ## For real inputs, return the Beta function, |
3321 | 22 ## @tex |
23 ## $$ | |
24 ## B (a, b) = {\Gamma (a) \Gamma (b) \over \Gamma (a + b)}. | |
25 ## $$ | |
26 ## @end tex | |
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27 ## @ifnottex |
3426 | 28 ## |
3321 | 29 ## @example |
30 ## beta (a, b) = gamma (a) * gamma (b) / gamma (a + b). | |
31 ## @end example | |
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32 ## |
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33 ## @end ifnottex |
3321 | 34 ## @end deftypefn |
2311 | 35 |
5428 | 36 ## Author: KH <Kurt.Hornik@wu-wien.ac.at> |
2312 | 37 ## Created: 13 June 1993 |
38 ## Adapted-By: jwe | |
39 | |
1026 | 40 function retval = beta (a, b) |
2325 | 41 |
1026 | 42 if (nargin != 2) |
6046 | 43 print_usage (); |
1026 | 44 endif |
45 | |
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46 if (any (size (a) != size (b)) && numel (a) != 1 && numel (b) != 1) |
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47 error ("beta: inputs A and B have inconsistent sizes"); |
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48 endif |
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49 |
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50 if (! isreal (a) || ! isreal (b)) |
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51 error ("beta: inputs A and B must be real"); |
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52 endif |
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53 |
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54 retval = real (exp (gammaln (a) + gammaln (b) - gammaln (a+b))); |
715 | 55 |
56 endfunction | |
7385 | 57 |
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58 |
7385 | 59 %!test |
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60 %! a = [1, 1.5, 2, 3]; |
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61 %! b = [4, 3, 2, 1]; |
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62 %! v1 = beta (a,b); |
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63 %! v2 = beta (b,a); |
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64 %! v3 = gamma (a).*gamma (b) ./ gamma (a+b); |
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65 %! assert (v1, v2, sqrt (eps)); |
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66 %! assert (v2, v3, sqrt (eps)); |
7385 | 67 |
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68 %!assert (beta (1, 1), 1) |
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69 |
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70 %!test |
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71 %! a = 2:10; |
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72 %! tol = 10 * max (a) * eps; |
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73 %! assert (-a, beta (-1./a, 1), tol); |
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74 %! assert (-a, beta (1, -1./a), tol); |
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75 |
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76 %!test |
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77 %! a = 0.25 + (0:5) * 0.5; |
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78 %! tol = 10 * max (a) * eps; |
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79 %! assert (zeros (size (a)), beta (a, -a), tol); |
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80 %! assert (zeros (size (a)), beta (-a, a), tol); |
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81 |
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82 %!error beta () |
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83 %!error beta (1) |
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84 |