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annotate libinterp/corefcn/gammainc.cc @ 17787:175b392e91fe

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Use GNU style coding conventions for code in libinterp/ * libinterp/corefcn/Cell.h, libinterp/corefcn/__contourc__.cc, libinterp/corefcn/__dispatch__.cc, libinterp/corefcn/__lin_interpn__.cc, libinterp/corefcn/__pchip_deriv__.cc, libinterp/corefcn/__qp__.cc, libinterp/corefcn/balance.cc, libinterp/corefcn/besselj.cc, libinterp/corefcn/betainc.cc, libinterp/corefcn/bitfcns.cc, libinterp/corefcn/bsxfun.cc, libinterp/corefcn/c-file-ptr-stream.cc, libinterp/corefcn/c-file-ptr-stream.h, libinterp/corefcn/cellfun.cc, libinterp/corefcn/colloc.cc, libinterp/corefcn/comment-list.h, libinterp/corefcn/conv2.cc, libinterp/corefcn/daspk.cc, libinterp/corefcn/dasrt.cc, libinterp/corefcn/dassl.cc, libinterp/corefcn/data.cc, libinterp/corefcn/debug.cc, libinterp/corefcn/defaults.cc, libinterp/corefcn/defaults.in.h, libinterp/corefcn/defun-int.h, libinterp/corefcn/defun.cc, libinterp/corefcn/det.cc, libinterp/corefcn/dirfns.cc, libinterp/corefcn/display.cc, libinterp/corefcn/dlmread.cc, libinterp/corefcn/dot.cc, libinterp/corefcn/dynamic-ld.cc, libinterp/corefcn/dynamic-ld.h, libinterp/corefcn/eig.cc, libinterp/corefcn/ellipj.cc, libinterp/corefcn/error.cc, libinterp/corefcn/error.h, libinterp/corefcn/event-queue.h, libinterp/corefcn/fft.cc, libinterp/corefcn/fft2.cc, libinterp/corefcn/fftn.cc, libinterp/corefcn/file-io.cc, libinterp/corefcn/filter.cc, libinterp/corefcn/find.cc, libinterp/corefcn/gammainc.cc, libinterp/corefcn/gcd.cc, libinterp/corefcn/getgrent.cc, libinterp/corefcn/getpwent.cc, libinterp/corefcn/getrusage.cc, libinterp/corefcn/givens.cc, libinterp/corefcn/gl-render.cc, libinterp/corefcn/gl2ps-renderer.cc, libinterp/corefcn/gl2ps-renderer.h, libinterp/corefcn/graphics.cc, libinterp/corefcn/graphics.in.h, libinterp/corefcn/gripes.cc, libinterp/corefcn/gripes.h, libinterp/corefcn/help.cc, libinterp/corefcn/hess.cc, libinterp/corefcn/hex2num.cc, libinterp/corefcn/input.cc, libinterp/corefcn/input.h, libinterp/corefcn/inv.cc, libinterp/corefcn/jit-ir.h, libinterp/corefcn/jit-typeinfo.cc, libinterp/corefcn/jit-typeinfo.h, libinterp/corefcn/jit-util.h, libinterp/corefcn/kron.cc, libinterp/corefcn/load-path.cc, libinterp/corefcn/load-path.h, libinterp/corefcn/load-save.cc, libinterp/corefcn/load-save.h, libinterp/corefcn/lookup.cc, libinterp/corefcn/ls-ascii-helper.cc, libinterp/corefcn/ls-hdf5.cc, libinterp/corefcn/ls-hdf5.h, libinterp/corefcn/ls-mat-ascii.cc, libinterp/corefcn/ls-mat-ascii.h, libinterp/corefcn/ls-mat4.cc, libinterp/corefcn/ls-mat5.cc, libinterp/corefcn/ls-mat5.h, libinterp/corefcn/ls-oct-ascii.cc, libinterp/corefcn/lsode.cc, libinterp/corefcn/lu.cc, libinterp/corefcn/luinc.cc, libinterp/corefcn/mappers.cc, libinterp/corefcn/matrix_type.cc, libinterp/corefcn/max.cc, libinterp/corefcn/md5sum.cc, libinterp/corefcn/mex.cc, libinterp/corefcn/mexproto.h, libinterp/corefcn/mgorth.cc, libinterp/corefcn/mxarray.in.h, libinterp/corefcn/nproc.cc, libinterp/corefcn/oct-hist.cc, libinterp/corefcn/oct-lvalue.h, libinterp/corefcn/oct-map.cc, libinterp/corefcn/oct-map.h, libinterp/corefcn/oct-obj.h, libinterp/corefcn/oct-prcstrm.h, libinterp/corefcn/oct-stdstrm.h, libinterp/corefcn/oct-stream.cc, libinterp/corefcn/oct-stream.h, libinterp/corefcn/octave-link.cc, libinterp/corefcn/octave-link.h, libinterp/corefcn/pager.cc, libinterp/corefcn/pinv.cc, libinterp/corefcn/pr-output.cc, libinterp/corefcn/procstream.h, libinterp/corefcn/profiler.cc, libinterp/corefcn/pt-jit.cc, libinterp/corefcn/pt-jit.h, libinterp/corefcn/quad.cc, libinterp/corefcn/quadcc.cc, libinterp/corefcn/qz.cc, libinterp/corefcn/rand.cc, libinterp/corefcn/rcond.cc, libinterp/corefcn/regexp.cc, libinterp/corefcn/schur.cc, libinterp/corefcn/sighandlers.cc, libinterp/corefcn/sighandlers.h, libinterp/corefcn/sparse-xdiv.cc, libinterp/corefcn/sparse-xdiv.h, libinterp/corefcn/sparse-xpow.cc, libinterp/corefcn/sparse.cc, libinterp/corefcn/spparms.cc, libinterp/corefcn/sqrtm.cc, libinterp/corefcn/str2double.cc, libinterp/corefcn/strfind.cc, libinterp/corefcn/strfns.cc, libinterp/corefcn/sub2ind.cc, libinterp/corefcn/svd.cc, libinterp/corefcn/syl.cc, libinterp/corefcn/symtab.cc, libinterp/corefcn/symtab.h, libinterp/corefcn/syscalls.cc, libinterp/corefcn/sysdep.cc, libinterp/corefcn/sysdep.h, libinterp/corefcn/time.cc, libinterp/corefcn/toplev.cc, libinterp/corefcn/toplev.h, libinterp/corefcn/tril.cc, libinterp/corefcn/txt-eng-ft.cc, libinterp/corefcn/txt-eng-ft.h, libinterp/corefcn/txt-eng.h, libinterp/corefcn/typecast.cc, libinterp/corefcn/urlwrite.cc, libinterp/corefcn/utils.cc, libinterp/corefcn/variables.cc, libinterp/corefcn/variables.h, libinterp/corefcn/xdiv.cc, libinterp/corefcn/xdiv.h, libinterp/corefcn/xnorm.h, libinterp/corefcn/xpow.cc, libinterp/corefcn/xpow.h, libinterp/corefcn/zfstream.cc, libinterp/corefcn/zfstream.h, libinterp/dldfcn/__delaunayn__.cc, libinterp/dldfcn/__dsearchn__.cc, libinterp/dldfcn/__eigs__.cc, libinterp/dldfcn/__fltk_uigetfile__.cc, libinterp/dldfcn/__glpk__.cc, libinterp/dldfcn/__init_fltk__.cc, libinterp/dldfcn/__init_gnuplot__.cc, libinterp/dldfcn/__magick_read__.cc, libinterp/dldfcn/__voronoi__.cc, libinterp/dldfcn/amd.cc, libinterp/dldfcn/ccolamd.cc, libinterp/dldfcn/chol.cc, libinterp/dldfcn/colamd.cc, libinterp/dldfcn/convhulln.cc, libinterp/dldfcn/dmperm.cc, libinterp/dldfcn/fftw.cc, libinterp/dldfcn/qr.cc, libinterp/dldfcn/symbfact.cc, libinterp/dldfcn/symrcm.cc, libinterp/dldfcn/tsearch.cc, libinterp/octave-value/ov-base-diag.cc, libinterp/octave-value/ov-base-diag.h, libinterp/octave-value/ov-base-int.cc, libinterp/octave-value/ov-base-int.h, libinterp/octave-value/ov-base-mat.h, libinterp/octave-value/ov-base-scalar.cc, libinterp/octave-value/ov-base-scalar.h, libinterp/octave-value/ov-base-sparse.cc, libinterp/octave-value/ov-base-sparse.h, libinterp/octave-value/ov-base.cc, libinterp/octave-value/ov-base.h, libinterp/octave-value/ov-bool-mat.cc, libinterp/octave-value/ov-bool-mat.h, libinterp/octave-value/ov-bool-sparse.cc, libinterp/octave-value/ov-bool-sparse.h, libinterp/octave-value/ov-bool.cc, libinterp/octave-value/ov-bool.h, libinterp/octave-value/ov-builtin.cc, libinterp/octave-value/ov-builtin.h, libinterp/octave-value/ov-cell.cc, libinterp/octave-value/ov-cell.h, libinterp/octave-value/ov-ch-mat.cc, libinterp/octave-value/ov-ch-mat.h, libinterp/octave-value/ov-class.cc, libinterp/octave-value/ov-class.h, libinterp/octave-value/ov-colon.h, libinterp/octave-value/ov-complex.cc, libinterp/octave-value/ov-complex.h, libinterp/octave-value/ov-cx-diag.cc, libinterp/octave-value/ov-cx-diag.h, libinterp/octave-value/ov-cx-mat.cc, libinterp/octave-value/ov-cx-mat.h, libinterp/octave-value/ov-cx-sparse.cc, libinterp/octave-value/ov-cx-sparse.h, libinterp/octave-value/ov-dld-fcn.h, libinterp/octave-value/ov-fcn-handle.cc, libinterp/octave-value/ov-fcn-handle.h, libinterp/octave-value/ov-fcn-inline.cc, libinterp/octave-value/ov-fcn-inline.h, libinterp/octave-value/ov-fcn.h, libinterp/octave-value/ov-float.cc, libinterp/octave-value/ov-float.h, libinterp/octave-value/ov-flt-complex.cc, libinterp/octave-value/ov-flt-complex.h, libinterp/octave-value/ov-flt-cx-diag.cc, libinterp/octave-value/ov-flt-cx-diag.h, libinterp/octave-value/ov-flt-cx-mat.cc, libinterp/octave-value/ov-flt-cx-mat.h, libinterp/octave-value/ov-flt-re-diag.cc, libinterp/octave-value/ov-flt-re-diag.h, libinterp/octave-value/ov-flt-re-mat.cc, libinterp/octave-value/ov-flt-re-mat.h, libinterp/octave-value/ov-int16.cc, libinterp/octave-value/ov-int32.cc, libinterp/octave-value/ov-int64.cc, libinterp/octave-value/ov-int8.cc, libinterp/octave-value/ov-intx.h, libinterp/octave-value/ov-java.cc, libinterp/octave-value/ov-lazy-idx.h, libinterp/octave-value/ov-mex-fcn.cc, libinterp/octave-value/ov-mex-fcn.h, libinterp/octave-value/ov-null-mat.cc, libinterp/octave-value/ov-null-mat.h, libinterp/octave-value/ov-oncleanup.cc, libinterp/octave-value/ov-perm.cc, libinterp/octave-value/ov-perm.h, libinterp/octave-value/ov-range.cc, libinterp/octave-value/ov-range.h, libinterp/octave-value/ov-re-diag.cc, libinterp/octave-value/ov-re-diag.h, libinterp/octave-value/ov-re-mat.cc, libinterp/octave-value/ov-re-mat.h, libinterp/octave-value/ov-re-sparse.cc, libinterp/octave-value/ov-re-sparse.h, libinterp/octave-value/ov-scalar.cc, libinterp/octave-value/ov-scalar.h, libinterp/octave-value/ov-str-mat.cc, libinterp/octave-value/ov-str-mat.h, libinterp/octave-value/ov-struct.cc, libinterp/octave-value/ov-struct.h, libinterp/octave-value/ov-type-conv.h, libinterp/octave-value/ov-typeinfo.cc, libinterp/octave-value/ov-typeinfo.h, libinterp/octave-value/ov-uint16.cc, libinterp/octave-value/ov-uint32.cc, libinterp/octave-value/ov-uint64.cc, libinterp/octave-value/ov-uint8.cc, libinterp/octave-value/ov-usr-fcn.cc, libinterp/octave-value/ov-usr-fcn.h, libinterp/octave-value/ov.cc, libinterp/octave-value/ov.h, libinterp/octave.cc, libinterp/operators/op-b-bm.cc, libinterp/operators/op-b-sbm.cc, libinterp/operators/op-bm-b.cc, libinterp/operators/op-bm-bm.cc, libinterp/operators/op-cdm-cdm.cc, libinterp/operators/op-chm.cc, libinterp/operators/op-class.cc, libinterp/operators/op-cm-cm.cc, libinterp/operators/op-cm-cs.cc, libinterp/operators/op-cm-s.cc, libinterp/operators/op-cm-scm.cc, libinterp/operators/op-cm-sm.cc, libinterp/operators/op-cs-cm.cc, libinterp/operators/op-cs-cs.cc, libinterp/operators/op-cs-scm.cc, libinterp/operators/op-cs-sm.cc, libinterp/operators/op-dm-dm.cc, libinterp/operators/op-dm-scm.cc, libinterp/operators/op-double-conv.cc, libinterp/operators/op-fcdm-fcdm.cc, libinterp/operators/op-fcm-fcm.cc, libinterp/operators/op-fcm-fcs.cc, libinterp/operators/op-fcm-fm.cc, libinterp/operators/op-fcm-fs.cc, libinterp/operators/op-fcs-fcm.cc, libinterp/operators/op-fcs-fcs.cc, libinterp/operators/op-fcs-fm.cc, libinterp/operators/op-fcs-fs.cc, libinterp/operators/op-fdm-fdm.cc, libinterp/operators/op-float-conv.cc, libinterp/operators/op-fm-fcm.cc, libinterp/operators/op-fm-fcs.cc, libinterp/operators/op-fm-fm.cc, libinterp/operators/op-fm-fs.cc, libinterp/operators/op-fs-fcm.cc, libinterp/operators/op-fs-fcs.cc, libinterp/operators/op-fs-fm.cc, libinterp/operators/op-fs-fs.cc, libinterp/operators/op-m-cm.cc, libinterp/operators/op-m-cs.cc, libinterp/operators/op-m-m.cc, libinterp/operators/op-m-s.cc, libinterp/operators/op-m-scm.cc, libinterp/operators/op-m-sm.cc, libinterp/operators/op-pm-scm.cc, libinterp/operators/op-range.cc, libinterp/operators/op-s-cm.cc, libinterp/operators/op-s-cs.cc, libinterp/operators/op-s-scm.cc, libinterp/operators/op-sbm-b.cc, libinterp/operators/op-sbm-bm.cc, libinterp/operators/op-sbm-sbm.cc, libinterp/operators/op-scm-cm.cc, libinterp/operators/op-scm-cs.cc, libinterp/operators/op-scm-m.cc, libinterp/operators/op-scm-s.cc, libinterp/operators/op-scm-scm.cc, libinterp/operators/op-scm-sm.cc, libinterp/operators/op-sm-cm.cc, libinterp/operators/op-sm-m.cc, libinterp/operators/op-sm-s.cc, libinterp/operators/op-sm-scm.cc, libinterp/operators/op-sm-sm.cc, libinterp/operators/op-str-m.cc, libinterp/operators/op-str-s.cc, libinterp/operators/op-str-str.cc, libinterp/operators/ops.h, libinterp/parse-tree/lex.h, libinterp/parse-tree/parse.h, libinterp/parse-tree/pt-arg-list.cc, libinterp/parse-tree/pt-arg-list.h, libinterp/parse-tree/pt-assign.cc, libinterp/parse-tree/pt-assign.h, libinterp/parse-tree/pt-binop.cc, libinterp/parse-tree/pt-binop.h, libinterp/parse-tree/pt-bp.h, libinterp/parse-tree/pt-cbinop.cc, libinterp/parse-tree/pt-check.cc, libinterp/parse-tree/pt-colon.cc, libinterp/parse-tree/pt-colon.h, libinterp/parse-tree/pt-const.cc, libinterp/parse-tree/pt-decl.cc, libinterp/parse-tree/pt-decl.h, libinterp/parse-tree/pt-eval.cc, libinterp/parse-tree/pt-except.h, libinterp/parse-tree/pt-exp.h, libinterp/parse-tree/pt-fcn-handle.cc, libinterp/parse-tree/pt-id.cc, libinterp/parse-tree/pt-id.h, libinterp/parse-tree/pt-idx.cc, libinterp/parse-tree/pt-idx.h, libinterp/parse-tree/pt-loop.h, libinterp/parse-tree/pt-mat.cc, libinterp/parse-tree/pt-misc.cc, libinterp/parse-tree/pt-misc.h, libinterp/parse-tree/pt-pr-code.cc, libinterp/parse-tree/pt-select.h, libinterp/parse-tree/pt-stmt.h, libinterp/parse-tree/token.h, libinterp/version.cc: Use GNU style coding conventions for code in libinterp/
author Rik <rik@octave.org>
date Mon, 28 Oct 2013 19:51:46 -0700
parents d63878346099
children 870f3e12e163
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1 /*
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2
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3 Copyright (C) 1997-2013 John W. Eaton
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4
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5 This file is part of Octave.
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6
28d5f556b8cf [project @ 1999-07-15 16:02:57 by jwe]
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7 Octave is free software; you can redistribute it and/or modify it
28d5f556b8cf [project @ 1999-07-15 16:02:57 by jwe]
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8 under the terms of the GNU General Public License as published by the
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9 Free Software Foundation; either version 3 of the License, or (at your
93c65f2a5668 [project @ 2007-10-12 06:40:56 by jwe]
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10 option) any later version.
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11
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12 Octave is distributed in the hope that it will be useful, but WITHOUT
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13 ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
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14 FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
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15 for more details.
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16
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17 You should have received a copy of the GNU General Public License
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18 along with Octave; see the file COPYING. If not, see
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19 <http://www.gnu.org/licenses/>.
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20
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21 */
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23 #ifdef HAVE_CONFIG_H
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24 #include <config.h>
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25 #endif
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28d5f556b8cf [project @ 1999-07-15 16:02:57 by jwe]
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27 #include "lo-specfun.h"
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28
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29 #include "defun.h"
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30 #include "error.h"
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31 #include "gripes.h"
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32 #include "oct-obj.h"
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33 #include "utils.h"
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34
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35 DEFUN (gammainc, args, ,
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36 "-*- texinfo -*-\n\
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37 @deftypefn {Mapping Function} {} gammainc (@var{x}, @var{a})\n\
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38 @deftypefnx {Mapping Function} {} gammainc (@var{x}, @var{a}, \"lower\")\n\
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39 @deftypefnx {Mapping Function} {} gammainc (@var{x}, @var{a}, \"upper\")\n\
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40 Compute the normalized incomplete gamma function,\n\
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41 @tex\n\
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42 $$\n\
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43 \\gamma (x, a) = {1 \\over {\\Gamma (a)}}\\displaystyle{\\int_0^x t^{a-1} e^{-t} dt}\n\
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44 $$\n\
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45 @end tex\n\
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46 @ifnottex\n\
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47 \n\
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48 @example\n\
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49 @group\n\
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50 x\n\
62a2ef6c09a4 doc: Correct spacing of integrals in Info version of docstrings.
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51 1 /\n\
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52 gammainc (x, a) = --------- | exp (-t) t^(a-1) dt\n\
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53 gamma (a) /\n\
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54 t=0\n\
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55 @end group\n\
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56 @end example\n\
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57 \n\
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58 @end ifnottex\n\
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59 with the limiting value of 1 as @var{x} approaches infinity.\n\
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60 The standard notation is @math{P(a,x)}, e.g., Abramowitz and Stegun (6.5.1).\n\
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61 \n\
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62 If @var{a} is scalar, then @code{gammainc (@var{x}, @var{a})} is returned\n\
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63 for each element of @var{x} and vice versa.\n\
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64 \n\
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65 If neither @var{x} nor @var{a} is scalar, the sizes of @var{x} and\n\
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66 @var{a} must agree, and @code{gammainc} is applied element-by-element.\n\
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67 \n\
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68 By default the incomplete gamma function integrated from 0 to @var{x} is\n\
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69 computed. If @qcode{\"upper\"} is given then the complementary function\n\
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70 integrated from @var{x} to infinity is calculated. It should be noted that\n\
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71 \n\
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72 @example\n\
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73 gammainc (@var{x}, @var{a}) @equiv{} 1 - gammainc (@var{x}, @var{a}, \"upper\")\n\
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74 @end example\n\
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75 @seealso{gamma, lgamma}\n\
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76 @end deftypefn")
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77 {
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78 octave_value retval;
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79 bool lower = true;
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80
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81 int nargin = args.length ();
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82
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83 if (nargin == 3)
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84 {
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85 if (args(2).is_string ())
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86 {
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87 std::string s = args(2).string_value ();
fa00ccf7b1f9 Implementary complementary incomplete gamma function (bug #30088)
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88 std::transform (s.begin (), s.end (), s.begin (), tolower);
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89 if (s == "upper")
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90 lower = false;
fa00ccf7b1f9 Implementary complementary incomplete gamma function (bug #30088)
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91 else if (s != "lower")
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92 error ("gammainc: third argument must be \"lower\" or \"upper\"");
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93 }
fa00ccf7b1f9 Implementary complementary incomplete gamma function (bug #30088)
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94 else
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95 error ("gammainc: third argument must be \"lower\" or \"upper\"");
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diff changeset
96
fa00ccf7b1f9 Implementary complementary incomplete gamma function (bug #30088)
David Bateman <dbateman@free.fr>
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diff changeset
97 }
fa00ccf7b1f9 Implementary complementary incomplete gamma function (bug #30088)
David Bateman <dbateman@free.fr>
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98
fa00ccf7b1f9 Implementary complementary incomplete gamma function (bug #30088)
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99 if (!error_state && nargin >= 2 && nargin <= 3)
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100 {
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101 octave_value x_arg = args(0);
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102 octave_value a_arg = args(1);
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103
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104 // FIXME Can we make a template version of the duplicated code below
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105 if (x_arg.is_single_type () || a_arg.is_single_type ())
10154
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106 {
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107 if (x_arg.is_scalar_type ())
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108 {
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109 float x = x_arg.float_value ();
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110
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111 if (! error_state)
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112 {
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113 if (a_arg.is_scalar_type ())
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114 {
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115 float a = a_arg.float_value ();
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116
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117 if (! error_state)
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118 retval = lower ? gammainc (x, a)
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119 : static_cast<float>(1)
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120 - gammainc (x, a);
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121 }
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122 else
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123 {
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124 FloatNDArray a = a_arg.float_array_value ();
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125
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126 if (! error_state)
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127 retval = lower ? gammainc (x, a)
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128 : static_cast<float>(1)
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129 - gammainc (x, a);
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130 }
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131 }
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132 }
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133 else
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134 {
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135 FloatNDArray x = x_arg.float_array_value ();
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136
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137 if (! error_state)
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138 {
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139 if (a_arg.is_scalar_type ())
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140 {
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141 float a = a_arg.float_value ();
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142
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143 if (! error_state)
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144 retval = lower ? gammainc (x, a)
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145 : static_cast<float>(1)
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146 - gammainc (x, a);
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147 }
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148 else
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149 {
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150 FloatNDArray a = a_arg.float_array_value ();
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151
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152 if (! error_state)
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153 retval = lower ? gammainc (x, a)
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154 : static_cast<float>(1)
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155 - gammainc (x, a);
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156 }
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157 }
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158 }
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159 }
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160 else
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161 {
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162 if (x_arg.is_scalar_type ())
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163 {
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164 double x = x_arg.double_value ();
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165
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166 if (! error_state)
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167 {
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168 if (a_arg.is_scalar_type ())
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169 {
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170 double a = a_arg.double_value ();
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171
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172 if (! error_state)
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173 retval = lower ? gammainc (x, a) : 1. - gammainc (x, a);
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174 }
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175 else
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176 {
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177 NDArray a = a_arg.array_value ();
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178
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179 if (! error_state)
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180 retval = lower ? gammainc (x, a) : 1. - gammainc (x, a);
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181 }
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182 }
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183 }
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184 else
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185 {
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186 NDArray x = x_arg.array_value ();
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187
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188 if (! error_state)
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189 {
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190 if (a_arg.is_scalar_type ())
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191 {
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192 double a = a_arg.double_value ();
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193
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194 if (! error_state)
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195 retval = lower ? gammainc (x, a) : 1. - gammainc (x, a);
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196 }
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197 else
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198 {
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199 NDArray a = a_arg.array_value ();
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200
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201 if (! error_state)
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202 retval = lower ? gammainc (x, a) : 1. - gammainc (x, a);
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203 }
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204 }
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205 }
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206 }
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207 }
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208 else
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209 print_usage ();
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210
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211 return retval;
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212 }
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213
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214 /*
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215 %!test
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216 %! a = [.5 .5 .5 .5 .5];
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217 %! x = [0 1 2 3 4];
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218 %! v1 = sqrt (pi)*erf (x)./gamma (a);
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219 %! v3 = gammainc (x.*x, a);
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220 %! assert (v1, v3, sqrt (eps));
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221
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222 %!assert (gammainc (0:4,0.5, "upper"), 1-gammainc (0:4,0.5), 1e-10)
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223
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224 %!test
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225 %! a = single ([.5 .5 .5 .5 .5]);
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226 %! x = single ([0 1 2 3 4]);
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227 %! v1 = sqrt (pi ("single"))*erf (x)./gamma (a);
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228 %! v3 = gammainc (x.*x, a);
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229 %! assert (v1, v3, sqrt (eps ("single")));
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230
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231 %!assert (gammainc (single (0:4), single (0.5), "upper"),
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232 %! single (1)-gammainc (single (0:4), single (0.5)),
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233 %! single (1e-7))
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234 */