Mercurial > octave
annotate libinterp/corefcn/gammainc.cc @ 21301:40de9f8f23a6
Use '#include "config.h"' rather than <config.h>.
* mk-octave-config-h.sh, mk-opts.pl, Backend.cc, BaseControl.cc,
ButtonControl.cc, Canvas.cc, CheckBoxControl.cc, Container.cc, ContextMenu.cc,
EditControl.cc, Figure.cc, FigureWindow.cc, GLCanvas.cc, KeyMap.cc,
ListBoxControl.cc, Logger.cc, Menu.cc, MouseModeActionGroup.cc, Object.cc,
ObjectFactory.cc, ObjectProxy.cc, Panel.cc, PopupMenuControl.cc,
PushButtonControl.cc, PushTool.cc, QtHandlesUtils.cc, RadioButtonControl.cc,
SliderControl.cc, TextControl.cc, TextEdit.cc, ToggleButtonControl.cc,
ToggleTool.cc, ToolBar.cc, ToolBarButton.cc, __init_qt__.cc,
annotation-dialog.cc, gl-select.cc, module.mk, kpty.cpp, color-picker.cc,
dialog.cc, documentation-dock-widget.cc, files-dock-widget.cc,
find-files-dialog.cc, find-files-model.cc, history-dock-widget.cc,
file-editor-tab.cc, file-editor-tab.h, file-editor.cc, find-dialog.cc,
marker.cc, octave-qscintilla.cc, octave-txt-lexer.cc, main-window.cc,
octave-cmd.cc, octave-dock-widget.cc, octave-gui.cc, octave-interpreter.cc,
octave-qt-link.cc, parser.cc, webinfo.cc, resource-manager.cc,
settings-dialog.cc, shortcut-manager.cc, terminal-dock-widget.cc,
thread-manager.cc, welcome-wizard.cc, workspace-model.cc, workspace-view.cc,
build-env-features.sh, build-env.in.cc, Cell.cc, __contourc__.cc,
__dispatch__.cc, __dsearchn__.cc, __ichol__.cc, __ilu__.cc, __lin_interpn__.cc,
__pchip_deriv__.cc, __qp__.cc, balance.cc, besselj.cc, betainc.cc, bitfcns.cc,
bsxfun.cc, c-file-ptr-stream.cc, cdisplay.c, cellfun.cc, coct-hdf5-types.c,
colloc.cc, comment-list.cc, conv2.cc, daspk.cc, dasrt.cc, dassl.cc, data.cc,
debug.cc, defaults.cc, defun.cc, det.cc, dirfns.cc, display.cc, dlmread.cc,
dot.cc, dynamic-ld.cc, eig.cc, ellipj.cc, error.cc, errwarn.cc, event-queue.cc,
fft.cc, fft2.cc, fftn.cc, file-io.cc, filter.cc, find.cc, ft-text-renderer.cc,
gammainc.cc, gcd.cc, getgrent.cc, getpwent.cc, getrusage.cc, givens.cc,
gl-render.cc, gl2ps-print.cc, graphics.cc, gripes.cc, hash.cc, help.cc,
hess.cc, hex2num.cc, hook-fcn.cc, input.cc, inv.cc, jit-ir.cc, jit-typeinfo.cc,
jit-util.cc, kron.cc, load-path.cc, load-save.cc, lookup.cc,
ls-ascii-helper.cc, ls-hdf5.cc, ls-mat-ascii.cc, ls-mat4.cc, ls-mat5.cc,
ls-oct-binary.cc, ls-oct-text.cc, ls-utils.cc, lsode.cc, lu.cc, luinc.cc,
mappers.cc, matrix_type.cc, max.cc, mex.cc, mgorth.cc, nproc.cc,
oct-errno.in.cc, oct-fstrm.cc, oct-hdf5-types.cc, oct-hist.cc, oct-iostrm.cc,
oct-lvalue.cc, oct-map.cc, oct-prcstrm.cc, oct-procbuf.cc, oct-stream.cc,
oct-strstrm.cc, oct-tex-lexer.in.ll, oct-tex-parser.in.yy, octave-link.cc,
ordschur.cc, pager.cc, pinv.cc, pr-output.cc, procstream.cc, profiler.cc,
psi.cc, pt-jit.cc, quad.cc, quadcc.cc, qz.cc, rand.cc, rcond.cc, regexp.cc,
schur.cc, sighandlers.cc, siglist.c, sparse-xdiv.cc, sparse-xpow.cc, sparse.cc,
spparms.cc, sqrtm.cc, str2double.cc, strfind.cc, strfns.cc, sub2ind.cc, svd.cc,
sylvester.cc, symtab.cc, syscalls.cc, sysdep.cc, text-renderer.cc, time.cc,
toplev.cc, tril.cc, tsearch.cc, txt-eng.cc, typecast.cc, urlwrite.cc, utils.cc,
variables.cc, xdiv.cc, xgl2ps.c, xnorm.cc, xpow.cc, zfstream.cc,
__delaunayn__.cc, __eigs__.cc, __fltk_uigetfile__.cc, __glpk__.cc,
__init_fltk__.cc, __init_gnuplot__.cc, __magick_read__.cc, __osmesa_print__.cc,
__voronoi__.cc, amd.cc, audiodevinfo.cc, audioread.cc, ccolamd.cc, chol.cc,
colamd.cc, convhulln.cc, dmperm.cc, fftw.cc, qr.cc, symbfact.cc, symrcm.cc,
mkbuiltins, mkops, ov-base-diag.cc, ov-base-int.cc, ov-base-mat.cc,
ov-base-scalar.cc, ov-base-sparse.cc, ov-base.cc, ov-bool-mat.cc,
ov-bool-sparse.cc, ov-bool.cc, ov-builtin.cc, ov-cell.cc, ov-ch-mat.cc,
ov-class.cc, ov-classdef.cc, ov-colon.cc, ov-complex.cc, ov-cs-list.cc,
ov-cx-diag.cc, ov-cx-mat.cc, ov-cx-sparse.cc, ov-dld-fcn.cc, ov-fcn-handle.cc,
ov-fcn-inline.cc, ov-fcn.cc, ov-float.cc, ov-flt-complex.cc, ov-flt-cx-diag.cc,
ov-flt-cx-mat.cc, ov-flt-re-diag.cc, ov-flt-re-mat.cc, ov-int16.cc,
ov-int32.cc, ov-int64.cc, ov-int8.cc, ov-java.cc, ov-lazy-idx.cc,
ov-mex-fcn.cc, ov-null-mat.cc, ov-oncleanup.cc, ov-perm.cc, ov-range.cc,
ov-re-diag.cc, ov-re-mat.cc, ov-re-sparse.cc, ov-scalar.cc, ov-str-mat.cc,
ov-struct.cc, ov-typeinfo.cc, ov-uint16.cc, ov-uint32.cc, ov-uint64.cc,
ov-uint8.cc, ov-usr-fcn.cc, ov.cc, ovl.cc, octave.cc, op-b-b.cc, op-b-bm.cc,
op-b-sbm.cc, op-bm-b.cc, op-bm-bm.cc, op-bm-sbm.cc, op-cdm-cdm.cc, op-cell.cc,
op-chm.cc, op-class.cc, op-cm-cm.cc, op-cm-cs.cc, op-cm-m.cc, op-cm-s.cc,
op-cm-scm.cc, op-cm-sm.cc, op-cs-cm.cc, op-cs-cs.cc, op-cs-m.cc, op-cs-s.cc,
op-cs-scm.cc, op-cs-sm.cc, op-dm-dm.cc, op-dm-scm.cc, op-dm-sm.cc,
op-dm-template.cc, op-dms-template.cc, op-double-conv.cc, op-fcdm-fcdm.cc,
op-fcdm-fdm.cc, op-fcm-fcm.cc, op-fcm-fcs.cc, op-fcm-fm.cc, op-fcm-fs.cc,
op-fcn.cc, op-fcs-fcm.cc, op-fcs-fcs.cc, op-fcs-fm.cc, op-fcs-fs.cc,
op-fdm-fdm.cc, op-float-conv.cc, op-fm-fcm.cc, op-fm-fcs.cc, op-fm-fm.cc,
op-fm-fs.cc, op-fs-fcm.cc, op-fs-fcs.cc, op-fs-fm.cc, op-fs-fs.cc,
op-i16-i16.cc, op-i32-i32.cc, op-i64-i64.cc, op-i8-i8.cc, op-int-concat.cc,
op-int-conv.cc, op-m-cm.cc, op-m-cs.cc, op-m-m.cc, op-m-s.cc, op-m-scm.cc,
op-m-sm.cc, op-pm-pm.cc, op-pm-scm.cc, op-pm-sm.cc, op-pm-template.cc,
op-range.cc, op-s-cm.cc, op-s-cs.cc, op-s-m.cc, op-s-s.cc, op-s-scm.cc,
op-s-sm.cc, op-sbm-b.cc, op-sbm-bm.cc, op-sbm-sbm.cc, op-scm-cm.cc,
op-scm-cs.cc, op-scm-m.cc, op-scm-s.cc, op-scm-scm.cc, op-scm-sm.cc,
op-sm-cm.cc, op-sm-cs.cc, op-sm-m.cc, op-sm-s.cc, op-sm-scm.cc, op-sm-sm.cc,
op-str-m.cc, op-str-s.cc, op-str-str.cc, op-struct.cc, op-ui16-ui16.cc,
op-ui32-ui32.cc, op-ui64-ui64.cc, op-ui8-ui8.cc, lex.ll, oct-parse.in.yy,
pt-arg-list.cc, pt-array-list.cc, pt-assign.cc, pt-binop.cc, pt-bp.cc,
pt-cbinop.cc, pt-cell.cc, pt-check.cc, pt-classdef.cc, pt-cmd.cc, pt-colon.cc,
pt-const.cc, pt-decl.cc, pt-eval.cc, pt-except.cc, pt-exp.cc, pt-fcn-handle.cc,
pt-funcall.cc, pt-id.cc, pt-idx.cc, pt-jump.cc, pt-loop.cc, pt-mat.cc,
pt-misc.cc, pt-pr-code.cc, pt-select.cc, pt-stmt.cc, pt-unop.cc, pt.cc,
token.cc, Array-jit.cc, Array-os.cc, Array-sym.cc, Array-tc.cc, version.cc,
Array-C.cc, Array-b.cc, Array-ch.cc, Array-d.cc, Array-f.cc, Array-fC.cc,
Array-i.cc, Array-idx-vec.cc, Array-s.cc, Array-str.cc, Array-util.cc,
Array-voidp.cc, Array.cc, CColVector.cc, CDiagMatrix.cc, CMatrix.cc,
CNDArray.cc, CRowVector.cc, CSparse.cc, DiagArray2.cc, MArray-C.cc,
MArray-d.cc, MArray-f.cc, MArray-fC.cc, MArray-i.cc, MArray-s.cc, MArray.cc,
MDiagArray2.cc, MSparse-C.cc, MSparse-d.cc, MatrixType.cc, PermMatrix.cc,
Range.cc, Sparse-C.cc, Sparse-b.cc, Sparse-d.cc, Sparse.cc, boolMatrix.cc,
boolNDArray.cc, boolSparse.cc, chMatrix.cc, chNDArray.cc, dColVector.cc,
dDiagMatrix.cc, dMatrix.cc, dNDArray.cc, dRowVector.cc, dSparse.cc,
dim-vector.cc, fCColVector.cc, fCDiagMatrix.cc, fCMatrix.cc, fCNDArray.cc,
fCRowVector.cc, fColVector.cc, fDiagMatrix.cc, fMatrix.cc, fNDArray.cc,
fRowVector.cc, idx-vector.cc, int16NDArray.cc, int32NDArray.cc,
int64NDArray.cc, int8NDArray.cc, intNDArray.cc, uint16NDArray.cc,
uint32NDArray.cc, uint64NDArray.cc, uint8NDArray.cc, blaswrap.c, cquit.c,
f77-extern.cc, f77-fcn.c, lo-error.c, quit.cc, CollocWt.cc, DASPK.cc, DASRT.cc,
DASSL.cc, EIG.cc, LSODE.cc, ODES.cc, Quad.cc, aepbalance.cc, chol.cc,
eigs-base.cc, fEIG.cc, gepbalance.cc, hess.cc, lo-mappers.cc, lo-specfun.cc,
lu.cc, oct-convn.cc, oct-fftw.cc, oct-norm.cc, oct-rand.cc, oct-spparms.cc,
qr.cc, qrp.cc, randgamma.c, randmtzig.c, randpoisson.c, schur.cc,
sparse-chol.cc, sparse-dmsolve.cc, sparse-lu.cc, sparse-qr.cc, svd.cc,
mk-ops.awk, dir-ops.cc, file-ops.cc, file-stat.cc, lo-sysdep.cc, mach-info.cc,
oct-env.cc, oct-group.cc, oct-passwd.cc, oct-syscalls.cc, oct-time.cc,
oct-uname.cc, cmd-edit.cc, cmd-hist.cc, data-conv.cc, f2c-main.c,
glob-match.cc, kpse.cc, lo-array-errwarn.cc, lo-array-gripes.cc, lo-cutils.c,
lo-ieee.cc, lo-regexp.cc, lo-utils.cc, oct-base64.cc, oct-glob.cc,
oct-inttypes.cc, oct-locbuf.cc, oct-mutex.cc, oct-rl-edit.c, oct-rl-hist.c,
oct-shlib.cc, oct-sort.cc, pathsearch.cc, singleton-cleanup.cc, sparse-sort.cc,
sparse-util.cc, str-vec.cc, unwind-prot.cc, url-transfer.cc,
display-available.c, main-cli.cc, main-gui.cc, main.in.cc, mkoctfile.in.cc,
octave-config.in.cc:
Use '#include "config.h"' rather than <config.h>.
| author | Rik <rik@octave.org> |
|---|---|
| date | Thu, 18 Feb 2016 13:34:50 -0800 |
| parents | fcac5dbbf9ed |
| children | aba2e6293dd8 |
| rev | line source |
|---|---|
| 3254 | 1 /* |
| 2 | |
|
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3 Copyright (C) 1997-2015 John W. Eaton |
| 3254 | 4 |
| 5 This file is part of Octave. | |
| 6 | |
| 7 Octave is free software; you can redistribute it and/or modify it | |
| 8 under the terms of the GNU General Public License as published by the | |
| 7016 | 9 Free Software Foundation; either version 3 of the License, or (at your |
| 10 option) any later version. | |
| 3254 | 11 |
| 12 Octave is distributed in the hope that it will be useful, but WITHOUT | |
| 13 ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or | |
| 14 FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License | |
| 15 for more details. | |
| 16 | |
| 17 You should have received a copy of the GNU General Public License | |
| 7016 | 18 along with Octave; see the file COPYING. If not, see |
| 19 <http://www.gnu.org/licenses/>. | |
| 3254 | 20 |
| 21 */ | |
| 22 | |
| 23 #ifdef HAVE_CONFIG_H | |
|
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24 # include "config.h" |
| 3254 | 25 #endif |
| 26 | |
| 27 #include "lo-specfun.h" | |
| 28 | |
|
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29 #include "defun.h" |
| 3254 | 30 #include "error.h" |
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31 #include "errwarn.h" |
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32 #include "ovl.h" |
| 3254 | 33 #include "utils.h" |
| 34 | |
|
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35 DEFUN (gammainc, args, , |
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36 "-*- texinfo -*-\n\ |
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37 @deftypefn {} {} gammainc (@var{x}, @var{a})\n\ |
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38 @deftypefnx {} {} gammainc (@var{x}, @var{a}, \"lower\")\n\ |
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39 @deftypefnx {} {} gammainc (@var{x}, @var{a}, \"upper\")\n\ |
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40 Compute the normalized incomplete gamma function.\n\ |
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41 \n\ |
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42 This is defined as\n\ |
| 3444 | 43 @tex\n\ |
| 44 $$\n\ | |
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45 \\gamma (x, a) = {1 \\over {\\Gamma (a)}}\\displaystyle{\\int_0^x t^{a-1} e^{-t} dt}\n\ |
| 3444 | 46 $$\n\ |
| 47 @end tex\n\ | |
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48 @ifnottex\n\ |
| 3254 | 49 \n\ |
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50 @example\n\ |
| 10840 | 51 @group\n\ |
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52 x\n\ |
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53 1 /\n\ |
| 3683 | 54 gammainc (x, a) = --------- | exp (-t) t^(a-1) dt\n\ |
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55 gamma (a) /\n\ |
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56 t=0\n\ |
| 10840 | 57 @end group\n\ |
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58 @end example\n\ |
| 5517 | 59 \n\ |
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60 @end ifnottex\n\ |
| 5517 | 61 with the limiting value of 1 as @var{x} approaches infinity.\n\ |
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62 The standard notation is @math{P(a,x)}, e.g., @nospell{Abramowitz} and\n\ |
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63 @nospell{Stegun} (6.5.1).\n\ |
| 3254 | 64 \n\ |
| 3683 | 65 If @var{a} is scalar, then @code{gammainc (@var{x}, @var{a})} is returned\n\ |
| 3444 | 66 for each element of @var{x} and vice versa.\n\ |
| 67 \n\ | |
| 3683 | 68 If neither @var{x} nor @var{a} is scalar, the sizes of @var{x} and\n\ |
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69 @var{a} must agree, and @code{gammainc} is applied element-by-element.\n\ |
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70 \n\ |
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71 By default the incomplete gamma function integrated from 0 to @var{x} is\n\ |
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72 computed. If @qcode{\"upper\"} is given then the complementary function\n\ |
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73 integrated from @var{x} to infinity is calculated. It should be noted that\n\ |
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74 \n\ |
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75 @example\n\ |
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76 gammainc (@var{x}, @var{a}) @equiv{} 1 - gammainc (@var{x}, @var{a}, \"upper\")\n\ |
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77 @end example\n\ |
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78 @seealso{gamma, gammaln}\n\ |
| 5642 | 79 @end deftypefn") |
| 3254 | 80 { |
| 81 int nargin = args.length (); | |
| 82 | |
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83 if (nargin < 2 || nargin > 3) |
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84 print_usage (); |
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85 |
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86 bool lower = true; |
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87 if (nargin == 3) |
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88 { |
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89 std::string s = args(2).xstring_value ("gammainc: third argument must be \"lower\" or \"upper\""); |
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90 |
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91 std::transform (s.begin (), s.end (), s.begin (), tolower); |
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92 |
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93 if (s == "upper") |
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94 lower = false; |
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95 else if (s == "lower") |
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96 lower = true; |
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97 else |
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98 error ("gammainc: third argument must be \"lower\" or \"upper\""); |
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99 } |
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100 |
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101 octave_value retval; |
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102 |
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103 octave_value x_arg = args(0); |
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104 octave_value a_arg = args(1); |
| 3254 | 105 |
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106 // FIXME: Can we make a template version of the duplicated code below |
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107 if (x_arg.is_single_type () || a_arg.is_single_type ()) |
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108 { |
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109 if (x_arg.is_scalar_type ()) |
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110 { |
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111 float x = x_arg.float_value (); |
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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 (); |
| 3254 | 116 |
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117 retval = lower ? gammainc (x, a) : 1.0f - gammainc (x, a); |
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118 } |
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119 else |
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120 { |
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121 FloatNDArray a = a_arg.float_array_value (); |
| 3254 | 122 |
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123 retval = lower ? gammainc (x, a) : 1.0f - gammainc (x, a); |
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124 } |
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125 } |
| 3254 | 126 else |
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127 { |
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128 FloatNDArray x = x_arg.float_array_value (); |
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129 |
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130 if (a_arg.is_scalar_type ()) |
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131 { |
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132 float a = a_arg.float_value (); |
| 3254 | 133 |
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134 retval = lower ? gammainc (x, a) : 1.0f - gammainc (x, a); |
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135 } |
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136 else |
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137 { |
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138 FloatNDArray a = a_arg.float_array_value (); |
| 3254 | 139 |
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140 retval = lower ? gammainc (x, a) : 1.0f - gammainc (x, a); |
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141 } |
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142 } |
| 3254 | 143 } |
| 144 else | |
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145 { |
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146 if (x_arg.is_scalar_type ()) |
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147 { |
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148 double x = x_arg.double_value (); |
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149 |
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150 if (a_arg.is_scalar_type ()) |
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151 { |
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152 double a = a_arg.double_value (); |
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153 |
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154 retval = lower ? gammainc (x, a) : 1. - gammainc (x, a); |
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155 } |
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156 else |
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157 { |
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158 NDArray a = a_arg.array_value (); |
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159 |
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160 retval = lower ? gammainc (x, a) : 1. - gammainc (x, a); |
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161 } |
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162 } |
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163 else |
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164 { |
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165 NDArray x = x_arg.array_value (); |
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166 |
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167 if (a_arg.is_scalar_type ()) |
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168 { |
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169 double a = a_arg.double_value (); |
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170 |
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171 retval = lower ? gammainc (x, a) : 1. - gammainc (x, a); |
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172 } |
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173 else |
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174 { |
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175 NDArray a = a_arg.array_value (); |
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176 |
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177 retval = lower ? gammainc (x, a) : 1. - gammainc (x, a); |
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178 } |
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179 } |
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180 } |
| 3254 | 181 |
| 182 return retval; | |
| 183 } | |
| 184 | |
| 185 /* | |
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186 %!test |
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187 %! a = [.5 .5 .5 .5 .5]; |
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188 %! x = [0 1 2 3 4]; |
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189 %! v1 = sqrt (pi)*erf (x)./gamma (a); |
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190 %! v3 = gammainc (x.*x, a); |
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191 %! assert (v1, v3, sqrt (eps)); |
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192 |
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193 %!assert (gammainc (0:4,0.5, "upper"), 1-gammainc (0:4,0.5), 1e-10) |
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194 |
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195 %!test |
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196 %! a = single ([.5 .5 .5 .5 .5]); |
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197 %! x = single ([0 1 2 3 4]); |
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198 %! v1 = sqrt (pi ("single"))*erf (x)./gamma (a); |
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199 %! v3 = gammainc (x.*x, a); |
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200 %! assert (v1, v3, sqrt (eps ("single"))); |
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201 |
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202 %!assert (gammainc (single (0:4), single (0.5), "upper"), |
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203 %! single (1)-gammainc (single (0:4), single (0.5)), |
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204 %! single (1e-7)) |
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205 */ |