octave-antonio: liboctave/numeric/lo-specfun.cc annotate

annotate liboctave/numeric/lo-specfun.cc @ 20161:65e22ba879f0

psi: add support to compute the polygamma function (kth-derivative). * libinterp/corefcn/psi.cc: previously, only the digamma function, k == 0, was being computed. Add support for polygamma function, add tests, and improve documentation. * liboctave/cruft/slatec-fn/dpsifn.f, liboctave/cruft/slatec-fn/psifn.f: the two functions that actually compute the the polygamma functions, copied verbatim from SLATEC, and under public domain. * liboctave/cruft/slatec-fn/module.mk: add dpsifn.f and psifn.f to the build system. * liboctave/numeric/lo-specfun.cc: add new signature for function psi to compute polygamma function that wraps the Fortran DPSIFN and PSIFN functions. * liboctave/numeric/lo-specfun.h: declare new function and document all psi() with doxygen.

author	Carnë Draug <carandraug@octave.org>
date	Sun, 03 May 2015 22:52:07 +0100
parents	bd565f3e0ecb
children

rev	line source
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	1 /*
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2
19697 4197fc428c7d maint: Update copyright notices for 2015. John W. Eaton <jwe@octave.org> parents: 19410 diff changeset	3 Copyright (C) 1996-2015 John W. Eaton
20154 45565ecec019 New function psi to compute the digamma function. Carnë Draug <carandraug@octave.org> parents: 19739 diff changeset	4 Copyright (C) 2007-2010 D. Martin
10391 59e34bcdff13 implement built-in erfcx Jaroslav Hajek <highegg@gmail.com> parents: 10352 diff changeset	5 Copyright (C) 2010 Jaroslav Hajek
10521 4d1fc073fbb7 add some missing copyright stmts Jaroslav Hajek <highegg@gmail.com> parents: 10414 diff changeset	6 Copyright (C) 2010 VZLU Prague
20154 45565ecec019 New function psi to compute the digamma function. Carnë Draug <carandraug@octave.org> parents: 19739 diff changeset	7 Copyright (C) 2015 Carnë Draug
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	8
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	9 This file is part of Octave.
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	10
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	11 Octave is free software; you can redistribute it and/or modify it
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	12 under the terms of the GNU General Public License as published by the
7016 93c65f2a5668 [project @ 2007-10-12 06:40:56 by jwe] jwe parents: 6969 diff changeset	13 Free Software Foundation; either version 3 of the License, or (at your
93c65f2a5668 [project @ 2007-10-12 06:40:56 by jwe] jwe parents: 6969 diff changeset	14 option) any later version.
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	15
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	16 Octave is distributed in the hope that it will be useful, but WITHOUT
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	17 ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	18 FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	19 for more details.
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	20
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	21 You should have received a copy of the GNU General Public License
7016 93c65f2a5668 [project @ 2007-10-12 06:40:56 by jwe] jwe parents: 6969 diff changeset	22 along with Octave; see the file COPYING. If not, see
93c65f2a5668 [project @ 2007-10-12 06:40:56 by jwe] jwe parents: 6969 diff changeset	23 <http://www.gnu.org/licenses/>.
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	24
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	25 */
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	26
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	27 #ifdef HAVE_CONFIG_H
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	28 #include <config.h>
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	29 #endif
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	30
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	31 #include "Range.h"
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	32 #include "CColVector.h"
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	33 #include "CMatrix.h"
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	34 #include "dRowVector.h"
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	35 #include "dMatrix.h"
4844 9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	36 #include "dNDArray.h"
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	37 #include "CNDArray.h"
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	38 #include "fCColVector.h"
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	39 #include "fCMatrix.h"
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	40 #include "fRowVector.h"
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	41 #include "fMatrix.h"
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	42 #include "fNDArray.h"
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	43 #include "fCNDArray.h"
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	44 #include "f77-fcn.h"
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	45 #include "lo-error.h"
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	46 #include "lo-ieee.h"
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	47 #include "lo-specfun.h"
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	48 #include "mx-inlines.cc"
5701 252b6754e545 [project @ 2006-03-21 18:15:42 by jwe] jwe parents: 5700 diff changeset	49 #include "lo-mappers.h"
20154 45565ecec019 New function psi to compute the digamma function. Carnë Draug <carandraug@octave.org> parents: 19739 diff changeset	50 #include "lo-math.h"
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	51
15696 2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package. Steven G. Johnson <stevenj@alum.mit.edu> parents: 15271 diff changeset	52 #include "Faddeeva.hh"
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package. Steven G. Johnson <stevenj@alum.mit.edu> parents: 15271 diff changeset	53
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	54 extern "C"
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	55 {
4552 6f3382e08a52 [project @ 2003-10-27 20:38:02 by jwe] jwe parents: 4506 diff changeset	56 F77_RET_T
6f3382e08a52 [project @ 2003-10-27 20:38:02 by jwe] jwe parents: 4506 diff changeset	57 F77_FUNC (zbesj, ZBESJ) (const double&, const double&, const double&,
11518 141b3fb5cef7 style fixes John W. Eaton <jwe@octave.org> parents: 11327 diff changeset	58 const octave_idx_type&, const octave_idx_type&,
141b3fb5cef7 style fixes John W. Eaton <jwe@octave.org> parents: 11327 diff changeset	59 double, double, octave_idx_type&,
141b3fb5cef7 style fixes John W. Eaton <jwe@octave.org> parents: 11327 diff changeset	60 octave_idx_type&);
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	61
4552 6f3382e08a52 [project @ 2003-10-27 20:38:02 by jwe] jwe parents: 4506 diff changeset	62 F77_RET_T
6f3382e08a52 [project @ 2003-10-27 20:38:02 by jwe] jwe parents: 4506 diff changeset	63 F77_FUNC (zbesy, ZBESY) (const double&, const double&, const double&,
11518 141b3fb5cef7 style fixes John W. Eaton <jwe@octave.org> parents: 11327 diff changeset	64 const octave_idx_type&, const octave_idx_type&,
141b3fb5cef7 style fixes John W. Eaton <jwe@octave.org> parents: 11327 diff changeset	65 double, double, octave_idx_type&, double*,
141b3fb5cef7 style fixes John W. Eaton <jwe@octave.org> parents: 11327 diff changeset	66 double*, octave_idx_type&);
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	67
4552 6f3382e08a52 [project @ 2003-10-27 20:38:02 by jwe] jwe parents: 4506 diff changeset	68 F77_RET_T
6f3382e08a52 [project @ 2003-10-27 20:38:02 by jwe] jwe parents: 4506 diff changeset	69 F77_FUNC (zbesi, ZBESI) (const double&, const double&, const double&,
11518 141b3fb5cef7 style fixes John W. Eaton <jwe@octave.org> parents: 11327 diff changeset	70 const octave_idx_type&, const octave_idx_type&,
141b3fb5cef7 style fixes John W. Eaton <jwe@octave.org> parents: 11327 diff changeset	71 double, double, octave_idx_type&,
141b3fb5cef7 style fixes John W. Eaton <jwe@octave.org> parents: 11327 diff changeset	72 octave_idx_type&);
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	73
4552 6f3382e08a52 [project @ 2003-10-27 20:38:02 by jwe] jwe parents: 4506 diff changeset	74 F77_RET_T
6f3382e08a52 [project @ 2003-10-27 20:38:02 by jwe] jwe parents: 4506 diff changeset	75 F77_FUNC (zbesk, ZBESK) (const double&, const double&, const double&,
11518 141b3fb5cef7 style fixes John W. Eaton <jwe@octave.org> parents: 11327 diff changeset	76 const octave_idx_type&, const octave_idx_type&,
141b3fb5cef7 style fixes John W. Eaton <jwe@octave.org> parents: 11327 diff changeset	77 double, double, octave_idx_type&,
141b3fb5cef7 style fixes John W. Eaton <jwe@octave.org> parents: 11327 diff changeset	78 octave_idx_type&);
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	79
4552 6f3382e08a52 [project @ 2003-10-27 20:38:02 by jwe] jwe parents: 4506 diff changeset	80 F77_RET_T
6f3382e08a52 [project @ 2003-10-27 20:38:02 by jwe] jwe parents: 4506 diff changeset	81 F77_FUNC (zbesh, ZBESH) (const double&, const double&, const double&,
11518 141b3fb5cef7 style fixes John W. Eaton <jwe@octave.org> parents: 11327 diff changeset	82 const octave_idx_type&, const octave_idx_type&,
141b3fb5cef7 style fixes John W. Eaton <jwe@octave.org> parents: 11327 diff changeset	83 const octave_idx_type&, double, double,
141b3fb5cef7 style fixes John W. Eaton <jwe@octave.org> parents: 11327 diff changeset	84 octave_idx_type&, octave_idx_type&);
4552 6f3382e08a52 [project @ 2003-10-27 20:38:02 by jwe] jwe parents: 4506 diff changeset	85
6f3382e08a52 [project @ 2003-10-27 20:38:02 by jwe] jwe parents: 4506 diff changeset	86 F77_RET_T
8279 b3734f1cb592 lo-specfun.cc: fix prototypes and calls to cbes{h,i,j,k,y} subroutines John W. Eaton <jwe@octave.org> parents: 8278 diff changeset	87 F77_FUNC (cbesj, cBESJ) (const FloatComplex&, const float&,
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	88 const octave_idx_type&, const octave_idx_type&,
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	89 FloatComplex*, octave_idx_type&, octave_idx_type&);
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	90
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	91 F77_RET_T
8279 b3734f1cb592 lo-specfun.cc: fix prototypes and calls to cbes{h,i,j,k,y} subroutines John W. Eaton <jwe@octave.org> parents: 8278 diff changeset	92 F77_FUNC (cbesy, CBESY) (const FloatComplex&, const float&,
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	93 const octave_idx_type&, const octave_idx_type&,
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	94 FloatComplex*, octave_idx_type&,
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	95 FloatComplex*, octave_idx_type&);
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	96
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	97 F77_RET_T
8279 b3734f1cb592 lo-specfun.cc: fix prototypes and calls to cbes{h,i,j,k,y} subroutines John W. Eaton <jwe@octave.org> parents: 8278 diff changeset	98 F77_FUNC (cbesi, CBESI) (const FloatComplex&, const float&,
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	99 const octave_idx_type&, const octave_idx_type&,
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	100 FloatComplex*, octave_idx_type&, octave_idx_type&);
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	101
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	102 F77_RET_T
8279 b3734f1cb592 lo-specfun.cc: fix prototypes and calls to cbes{h,i,j,k,y} subroutines John W. Eaton <jwe@octave.org> parents: 8278 diff changeset	103 F77_FUNC (cbesk, CBESK) (const FloatComplex&, const float&,
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	104 const octave_idx_type&, const octave_idx_type&,
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	105 FloatComplex*, octave_idx_type&, octave_idx_type&);
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	106
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	107 F77_RET_T
8279 b3734f1cb592 lo-specfun.cc: fix prototypes and calls to cbes{h,i,j,k,y} subroutines John W. Eaton <jwe@octave.org> parents: 8278 diff changeset	108 F77_FUNC (cbesh, CBESH) (const FloatComplex&, const float&,
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	109 const octave_idx_type&, const octave_idx_type&,
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	110 const octave_idx_type&, FloatComplex*,
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	111 octave_idx_type&, octave_idx_type&);
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	112
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	113 F77_RET_T
11518 141b3fb5cef7 style fixes John W. Eaton <jwe@octave.org> parents: 11327 diff changeset	114 F77_FUNC (zairy, ZAIRY) (const double&, const double&,
141b3fb5cef7 style fixes John W. Eaton <jwe@octave.org> parents: 11327 diff changeset	115 const octave_idx_type&, const octave_idx_type&,
141b3fb5cef7 style fixes John W. Eaton <jwe@octave.org> parents: 11327 diff changeset	116 double&, double&, octave_idx_type&,
141b3fb5cef7 style fixes John W. Eaton <jwe@octave.org> parents: 11327 diff changeset	117 octave_idx_type&);
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	118
4552 6f3382e08a52 [project @ 2003-10-27 20:38:02 by jwe] jwe parents: 4506 diff changeset	119 F77_RET_T
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	120 F77_FUNC (cairy, CAIRY) (const float&, const float&, const octave_idx_type&,
11518 141b3fb5cef7 style fixes John W. Eaton <jwe@octave.org> parents: 11327 diff changeset	121 const octave_idx_type&, float&, float&,
141b3fb5cef7 style fixes John W. Eaton <jwe@octave.org> parents: 11327 diff changeset	122 octave_idx_type&, octave_idx_type&);
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	123
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	124 F77_RET_T
11518 141b3fb5cef7 style fixes John W. Eaton <jwe@octave.org> parents: 11327 diff changeset	125 F77_FUNC (zbiry, ZBIRY) (const double&, const double&,
141b3fb5cef7 style fixes John W. Eaton <jwe@octave.org> parents: 11327 diff changeset	126 const octave_idx_type&, const octave_idx_type&,
141b3fb5cef7 style fixes John W. Eaton <jwe@octave.org> parents: 11327 diff changeset	127 double&, double&, octave_idx_type&);
4552 6f3382e08a52 [project @ 2003-10-27 20:38:02 by jwe] jwe parents: 4506 diff changeset	128
6f3382e08a52 [project @ 2003-10-27 20:38:02 by jwe] jwe parents: 4506 diff changeset	129 F77_RET_T
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	130 F77_FUNC (cbiry, CBIRY) (const float&, const float&, const octave_idx_type&,
11518 141b3fb5cef7 style fixes John W. Eaton <jwe@octave.org> parents: 11327 diff changeset	131 const octave_idx_type&, float&, float&,
141b3fb5cef7 style fixes John W. Eaton <jwe@octave.org> parents: 11327 diff changeset	132 octave_idx_type&);
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	133
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	134 F77_RET_T
4552 6f3382e08a52 [project @ 2003-10-27 20:38:02 by jwe] jwe parents: 4506 diff changeset	135 F77_FUNC (xdacosh, XDACOSH) (const double&, double&);
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	136
4552 6f3382e08a52 [project @ 2003-10-27 20:38:02 by jwe] jwe parents: 4506 diff changeset	137 F77_RET_T
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	138 F77_FUNC (xacosh, XACOSH) (const float&, float&);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	139
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	140 F77_RET_T
4552 6f3382e08a52 [project @ 2003-10-27 20:38:02 by jwe] jwe parents: 4506 diff changeset	141 F77_FUNC (xdasinh, XDASINH) (const double&, double&);
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	142
4552 6f3382e08a52 [project @ 2003-10-27 20:38:02 by jwe] jwe parents: 4506 diff changeset	143 F77_RET_T
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	144 F77_FUNC (xasinh, XASINH) (const float&, float&);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	145
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	146 F77_RET_T
4552 6f3382e08a52 [project @ 2003-10-27 20:38:02 by jwe] jwe parents: 4506 diff changeset	147 F77_FUNC (xdatanh, XDATANH) (const double&, double&);
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	148
4552 6f3382e08a52 [project @ 2003-10-27 20:38:02 by jwe] jwe parents: 4506 diff changeset	149 F77_RET_T
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	150 F77_FUNC (xatanh, XATANH) (const float&, float&);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	151
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	152 F77_RET_T
4552 6f3382e08a52 [project @ 2003-10-27 20:38:02 by jwe] jwe parents: 4506 diff changeset	153 F77_FUNC (xderf, XDERF) (const double&, double&);
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	154
4552 6f3382e08a52 [project @ 2003-10-27 20:38:02 by jwe] jwe parents: 4506 diff changeset	155 F77_RET_T
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	156 F77_FUNC (xerf, XERF) (const float&, float&);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	157
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	158 F77_RET_T
4552 6f3382e08a52 [project @ 2003-10-27 20:38:02 by jwe] jwe parents: 4506 diff changeset	159 F77_FUNC (xderfc, XDERFC) (const double&, double&);
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	160
4552 6f3382e08a52 [project @ 2003-10-27 20:38:02 by jwe] jwe parents: 4506 diff changeset	161 F77_RET_T
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	162 F77_FUNC (xerfc, XERFC) (const float&, float&);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	163
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	164 F77_RET_T
4552 6f3382e08a52 [project @ 2003-10-27 20:38:02 by jwe] jwe parents: 4506 diff changeset	165 F77_FUNC (xdbetai, XDBETAI) (const double&, const double&,
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	166 const double&, double&);
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	167
4552 6f3382e08a52 [project @ 2003-10-27 20:38:02 by jwe] jwe parents: 4506 diff changeset	168 F77_RET_T
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	169 F77_FUNC (xbetai, XBETAI) (const float&, const float&,
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	170 const float&, float&);
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	171
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	172 F77_RET_T
4552 6f3382e08a52 [project @ 2003-10-27 20:38:02 by jwe] jwe parents: 4506 diff changeset	173 F77_FUNC (xdgamma, XDGAMMA) (const double&, double&);
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	174
4552 6f3382e08a52 [project @ 2003-10-27 20:38:02 by jwe] jwe parents: 4506 diff changeset	175 F77_RET_T
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	176 F77_FUNC (xgamma, XGAMMA) (const float&, float&);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	177
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	178 F77_RET_T
4552 6f3382e08a52 [project @ 2003-10-27 20:38:02 by jwe] jwe parents: 4506 diff changeset	179 F77_FUNC (xgammainc, XGAMMAINC) (const double&, const double&, double&);
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	180
4552 6f3382e08a52 [project @ 2003-10-27 20:38:02 by jwe] jwe parents: 4506 diff changeset	181 F77_RET_T
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	182 F77_FUNC (xsgammainc, XSGAMMAINC) (const float&, const float&, float&);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	183
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	184 F77_RET_T
4552 6f3382e08a52 [project @ 2003-10-27 20:38:02 by jwe] jwe parents: 4506 diff changeset	185 F77_FUNC (dlgams, DLGAMS) (const double&, double&, double&);
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	186
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	187 F77_RET_T
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	188 F77_FUNC (algams, ALGAMS) (const float&, float&, float&);
20161 65e22ba879f0 psi: add support to compute the polygamma function (kth-derivative). Carnë Draug <carandraug@octave.org> parents: 20156 diff changeset	189
65e22ba879f0 psi: add support to compute the polygamma function (kth-derivative). Carnë Draug <carandraug@octave.org> parents: 20156 diff changeset	190 F77_RET_T
65e22ba879f0 psi: add support to compute the polygamma function (kth-derivative). Carnë Draug <carandraug@octave.org> parents: 20156 diff changeset	191 F77_FUNC (psifn, PSIFN) (const float*, const octave_idx_type&,
65e22ba879f0 psi: add support to compute the polygamma function (kth-derivative). Carnë Draug <carandraug@octave.org> parents: 20156 diff changeset	192 const octave_idx_type&, const octave_idx_type&,
65e22ba879f0 psi: add support to compute the polygamma function (kth-derivative). Carnë Draug <carandraug@octave.org> parents: 20156 diff changeset	193 float, octave_idx_type, octave_idx_type*);
65e22ba879f0 psi: add support to compute the polygamma function (kth-derivative). Carnë Draug <carandraug@octave.org> parents: 20156 diff changeset	194
65e22ba879f0 psi: add support to compute the polygamma function (kth-derivative). Carnë Draug <carandraug@octave.org> parents: 20156 diff changeset	195 F77_RET_T
65e22ba879f0 psi: add support to compute the polygamma function (kth-derivative). Carnë Draug <carandraug@octave.org> parents: 20156 diff changeset	196 F77_FUNC (dpsifn, DPSIFN) (const double*, const octave_idx_type&,
65e22ba879f0 psi: add support to compute the polygamma function (kth-derivative). Carnë Draug <carandraug@octave.org> parents: 20156 diff changeset	197 const octave_idx_type&, const octave_idx_type&,
65e22ba879f0 psi: add support to compute the polygamma function (kth-derivative). Carnë Draug <carandraug@octave.org> parents: 20156 diff changeset	198 double, octave_idx_type, octave_idx_type*);
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	199 }
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	200
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	201 #if !defined (HAVE_ACOSH)
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	202 double
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	203 acosh (double x)
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	204 {
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	205 double retval;
5278 fe23ec6763b7 [project @ 2005-04-12 21:04:39 by jwe] jwe parents: 5275 diff changeset	206 F77_XFCN (xdacosh, XDACOSH, (x, retval));
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	207 return retval;
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	208 }
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	209 #endif
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	210
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	211 #if !defined (HAVE_ACOSHF)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	212 float
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	213 acoshf (float x)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	214 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	215 float retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	216 F77_XFCN (xacosh, XACOSH, (x, retval));
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	217 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	218 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	219 #endif
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	220
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	221 #if !defined (HAVE_ASINH)
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	222 double
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	223 asinh (double x)
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	224 {
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	225 double retval;
5278 fe23ec6763b7 [project @ 2005-04-12 21:04:39 by jwe] jwe parents: 5275 diff changeset	226 F77_XFCN (xdasinh, XDASINH, (x, retval));
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	227 return retval;
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	228 }
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	229 #endif
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	230
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	231 #if !defined (HAVE_ASINHF)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	232 float
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	233 asinhf (float x)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	234 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	235 float retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	236 F77_XFCN (xasinh, XASINH, (x, retval));
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	237 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	238 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	239 #endif
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	240
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	241 #if !defined (HAVE_ATANH)
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	242 double
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	243 atanh (double x)
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	244 {
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	245 double retval;
5278 fe23ec6763b7 [project @ 2005-04-12 21:04:39 by jwe] jwe parents: 5275 diff changeset	246 F77_XFCN (xdatanh, XDATANH, (x, retval));
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	247 return retval;
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	248 }
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	249 #endif
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	250
7914 e998e81224b5 Various compilation fixes for MSVC. John W. Eaton <jwe@octave.org> parents: 7789 diff changeset	251 #if !defined (HAVE_ATANHF)
e998e81224b5 Various compilation fixes for MSVC. John W. Eaton <jwe@octave.org> parents: 7789 diff changeset	252 float
e998e81224b5 Various compilation fixes for MSVC. John W. Eaton <jwe@octave.org> parents: 7789 diff changeset	253 atanhf (float x)
e998e81224b5 Various compilation fixes for MSVC. John W. Eaton <jwe@octave.org> parents: 7789 diff changeset	254 {
e998e81224b5 Various compilation fixes for MSVC. John W. Eaton <jwe@octave.org> parents: 7789 diff changeset	255 float retval;
e998e81224b5 Various compilation fixes for MSVC. John W. Eaton <jwe@octave.org> parents: 7789 diff changeset	256 F77_XFCN (xatanh, XATANH, (x, retval));
e998e81224b5 Various compilation fixes for MSVC. John W. Eaton <jwe@octave.org> parents: 7789 diff changeset	257 return retval;
e998e81224b5 Various compilation fixes for MSVC. John W. Eaton <jwe@octave.org> parents: 7789 diff changeset	258 }
e998e81224b5 Various compilation fixes for MSVC. John W. Eaton <jwe@octave.org> parents: 7789 diff changeset	259 #endif
e998e81224b5 Various compilation fixes for MSVC. John W. Eaton <jwe@octave.org> parents: 7789 diff changeset	260
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	261 #if !defined (HAVE_ERF)
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	262 double
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	263 erf (double x)
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	264 {
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	265 double retval;
5278 fe23ec6763b7 [project @ 2005-04-12 21:04:39 by jwe] jwe parents: 5275 diff changeset	266 F77_XFCN (xderf, XDERF, (x, retval));
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	267 return retval;
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	268 }
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	269 #endif
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	270
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	271 #if !defined (HAVE_ERFF)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	272 float
7914 e998e81224b5 Various compilation fixes for MSVC. John W. Eaton <jwe@octave.org> parents: 7789 diff changeset	273 erff (float x)
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	274 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	275 float retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	276 F77_XFCN (xerf, XERF, (x, retval));
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	277 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	278 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	279 #endif
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	280
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	281 #if !defined (HAVE_ERFC)
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	282 double
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	283 erfc (double x)
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	284 {
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	285 double retval;
5278 fe23ec6763b7 [project @ 2005-04-12 21:04:39 by jwe] jwe parents: 5275 diff changeset	286 F77_XFCN (xderfc, XDERFC, (x, retval));
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	287 return retval;
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	288 }
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	289 #endif
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	290
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	291 #if !defined (HAVE_ERFCF)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	292 float
7914 e998e81224b5 Various compilation fixes for MSVC. John W. Eaton <jwe@octave.org> parents: 7789 diff changeset	293 erfcf (float x)
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	294 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	295 float retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	296 F77_XFCN (xerfc, XERFC, (x, retval));
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	297 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	298 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	299 #endif
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	300
15696 2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package. Steven G. Johnson <stevenj@alum.mit.edu> parents: 15271 diff changeset	301 // Complex error function from the Faddeeva package
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package. Steven G. Johnson <stevenj@alum.mit.edu> parents: 15271 diff changeset	302 Complex
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package. Steven G. Johnson <stevenj@alum.mit.edu> parents: 15271 diff changeset	303 erf (const Complex& x)
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package. Steven G. Johnson <stevenj@alum.mit.edu> parents: 15271 diff changeset	304 {
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package. Steven G. Johnson <stevenj@alum.mit.edu> parents: 15271 diff changeset	305 return Faddeeva::erf (x);
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package. Steven G. Johnson <stevenj@alum.mit.edu> parents: 15271 diff changeset	306 }
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package. Steven G. Johnson <stevenj@alum.mit.edu> parents: 15271 diff changeset	307 FloatComplex
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package. Steven G. Johnson <stevenj@alum.mit.edu> parents: 15271 diff changeset	308 erf (const FloatComplex& x)
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package. Steven G. Johnson <stevenj@alum.mit.edu> parents: 15271 diff changeset	309 {
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package. Steven G. Johnson <stevenj@alum.mit.edu> parents: 15271 diff changeset	310 Complex xd (real (x), imag (x));
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package. Steven G. Johnson <stevenj@alum.mit.edu> parents: 15271 diff changeset	311 Complex ret = Faddeeva::erf (xd, std::numeric_limits<float>::epsilon ());
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package. Steven G. Johnson <stevenj@alum.mit.edu> parents: 15271 diff changeset	312 return FloatComplex (real (ret), imag (ret));
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package. Steven G. Johnson <stevenj@alum.mit.edu> parents: 15271 diff changeset	313 }
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package. Steven G. Johnson <stevenj@alum.mit.edu> parents: 15271 diff changeset	314
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package. Steven G. Johnson <stevenj@alum.mit.edu> parents: 15271 diff changeset	315 // Complex complementary error function from the Faddeeva package
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package. Steven G. Johnson <stevenj@alum.mit.edu> parents: 15271 diff changeset	316 Complex
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package. Steven G. Johnson <stevenj@alum.mit.edu> parents: 15271 diff changeset	317 erfc (const Complex& x)
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package. Steven G. Johnson <stevenj@alum.mit.edu> parents: 15271 diff changeset	318 {
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package. Steven G. Johnson <stevenj@alum.mit.edu> parents: 15271 diff changeset	319 return Faddeeva::erfc (x);
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package. Steven G. Johnson <stevenj@alum.mit.edu> parents: 15271 diff changeset	320 }
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package. Steven G. Johnson <stevenj@alum.mit.edu> parents: 15271 diff changeset	321 FloatComplex
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package. Steven G. Johnson <stevenj@alum.mit.edu> parents: 15271 diff changeset	322 erfc (const FloatComplex& x)
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package. Steven G. Johnson <stevenj@alum.mit.edu> parents: 15271 diff changeset	323 {
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package. Steven G. Johnson <stevenj@alum.mit.edu> parents: 15271 diff changeset	324 Complex xd (real (x), imag (x));
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package. Steven G. Johnson <stevenj@alum.mit.edu> parents: 15271 diff changeset	325 Complex ret = Faddeeva::erfc (xd, std::numeric_limits<float>::epsilon ());
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package. Steven G. Johnson <stevenj@alum.mit.edu> parents: 15271 diff changeset	326 return FloatComplex (real (ret), imag (ret));
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package. Steven G. Johnson <stevenj@alum.mit.edu> parents: 15271 diff changeset	327 }
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package. Steven G. Johnson <stevenj@alum.mit.edu> parents: 15271 diff changeset	328
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package. Steven G. Johnson <stevenj@alum.mit.edu> parents: 15271 diff changeset	329 // Real and complex scaled complementary error function from Faddeeva package
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package. Steven G. Johnson <stevenj@alum.mit.edu> parents: 15271 diff changeset	330 float erfcx (float x) { return Faddeeva::erfcx(x); }
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package. Steven G. Johnson <stevenj@alum.mit.edu> parents: 15271 diff changeset	331 double erfcx (double x) { return Faddeeva::erfcx(x); }
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package. Steven G. Johnson <stevenj@alum.mit.edu> parents: 15271 diff changeset	332 Complex
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package. Steven G. Johnson <stevenj@alum.mit.edu> parents: 15271 diff changeset	333 erfcx (const Complex& x)
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package. Steven G. Johnson <stevenj@alum.mit.edu> parents: 15271 diff changeset	334 {
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package. Steven G. Johnson <stevenj@alum.mit.edu> parents: 15271 diff changeset	335 return Faddeeva::erfcx (x);
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package. Steven G. Johnson <stevenj@alum.mit.edu> parents: 15271 diff changeset	336 }
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package. Steven G. Johnson <stevenj@alum.mit.edu> parents: 15271 diff changeset	337 FloatComplex
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package. Steven G. Johnson <stevenj@alum.mit.edu> parents: 15271 diff changeset	338 erfcx (const FloatComplex& x)
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package. Steven G. Johnson <stevenj@alum.mit.edu> parents: 15271 diff changeset	339 {
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package. Steven G. Johnson <stevenj@alum.mit.edu> parents: 15271 diff changeset	340 Complex xd (real (x), imag (x));
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package. Steven G. Johnson <stevenj@alum.mit.edu> parents: 15271 diff changeset	341 Complex ret = Faddeeva::erfcx (xd, std::numeric_limits<float>::epsilon ());
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package. Steven G. Johnson <stevenj@alum.mit.edu> parents: 15271 diff changeset	342 return FloatComplex (real (ret), imag (ret));
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package. Steven G. Johnson <stevenj@alum.mit.edu> parents: 15271 diff changeset	343 }
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package. Steven G. Johnson <stevenj@alum.mit.edu> parents: 15271 diff changeset	344
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package. Steven G. Johnson <stevenj@alum.mit.edu> parents: 15271 diff changeset	345 // Real and complex imaginary error function from Faddeeva package
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package. Steven G. Johnson <stevenj@alum.mit.edu> parents: 15271 diff changeset	346 float erfi (float x) { return Faddeeva::erfi(x); }
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package. Steven G. Johnson <stevenj@alum.mit.edu> parents: 15271 diff changeset	347 double erfi (double x) { return Faddeeva::erfi(x); }
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package. Steven G. Johnson <stevenj@alum.mit.edu> parents: 15271 diff changeset	348 Complex
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package. Steven G. Johnson <stevenj@alum.mit.edu> parents: 15271 diff changeset	349 erfi (const Complex& x)
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package. Steven G. Johnson <stevenj@alum.mit.edu> parents: 15271 diff changeset	350 {
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package. Steven G. Johnson <stevenj@alum.mit.edu> parents: 15271 diff changeset	351 return Faddeeva::erfi (x);
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package. Steven G. Johnson <stevenj@alum.mit.edu> parents: 15271 diff changeset	352 }
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package. Steven G. Johnson <stevenj@alum.mit.edu> parents: 15271 diff changeset	353 FloatComplex
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package. Steven G. Johnson <stevenj@alum.mit.edu> parents: 15271 diff changeset	354 erfi (const FloatComplex& x)
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package. Steven G. Johnson <stevenj@alum.mit.edu> parents: 15271 diff changeset	355 {
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package. Steven G. Johnson <stevenj@alum.mit.edu> parents: 15271 diff changeset	356 Complex xd (real (x), imag (x));
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package. Steven G. Johnson <stevenj@alum.mit.edu> parents: 15271 diff changeset	357 Complex ret = Faddeeva::erfi (xd, std::numeric_limits<float>::epsilon ());
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package. Steven G. Johnson <stevenj@alum.mit.edu> parents: 15271 diff changeset	358 return FloatComplex (real (ret), imag (ret));
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package. Steven G. Johnson <stevenj@alum.mit.edu> parents: 15271 diff changeset	359 }
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package. Steven G. Johnson <stevenj@alum.mit.edu> parents: 15271 diff changeset	360
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package. Steven G. Johnson <stevenj@alum.mit.edu> parents: 15271 diff changeset	361 // Real and complex Dawson function (= scaled erfi) from Faddeeva package
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package. Steven G. Johnson <stevenj@alum.mit.edu> parents: 15271 diff changeset	362 float dawson (float x) { return Faddeeva::Dawson(x); }
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package. Steven G. Johnson <stevenj@alum.mit.edu> parents: 15271 diff changeset	363 double dawson (double x) { return Faddeeva::Dawson(x); }
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package. Steven G. Johnson <stevenj@alum.mit.edu> parents: 15271 diff changeset	364 Complex
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package. Steven G. Johnson <stevenj@alum.mit.edu> parents: 15271 diff changeset	365 dawson (const Complex& x)
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package. Steven G. Johnson <stevenj@alum.mit.edu> parents: 15271 diff changeset	366 {
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package. Steven G. Johnson <stevenj@alum.mit.edu> parents: 15271 diff changeset	367 return Faddeeva::Dawson (x);
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package. Steven G. Johnson <stevenj@alum.mit.edu> parents: 15271 diff changeset	368 }
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package. Steven G. Johnson <stevenj@alum.mit.edu> parents: 15271 diff changeset	369 FloatComplex
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package. Steven G. Johnson <stevenj@alum.mit.edu> parents: 15271 diff changeset	370 dawson (const FloatComplex& x)
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package. Steven G. Johnson <stevenj@alum.mit.edu> parents: 15271 diff changeset	371 {
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package. Steven G. Johnson <stevenj@alum.mit.edu> parents: 15271 diff changeset	372 Complex xd (real (x), imag (x));
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package. Steven G. Johnson <stevenj@alum.mit.edu> parents: 15271 diff changeset	373 Complex ret = Faddeeva::Dawson (xd, std::numeric_limits<float>::epsilon ());
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package. Steven G. Johnson <stevenj@alum.mit.edu> parents: 15271 diff changeset	374 return FloatComplex (real (ret), imag (ret));
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package. Steven G. Johnson <stevenj@alum.mit.edu> parents: 15271 diff changeset	375 }
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package. Steven G. Johnson <stevenj@alum.mit.edu> parents: 15271 diff changeset	376
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	377 double
3156 a494f93e60ff [project @ 1998-02-20 07:47:48 by jwe] jwe parents: 3146 diff changeset	378 xgamma (double x)
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	379 {
3156 a494f93e60ff [project @ 1998-02-20 07:47:48 by jwe] jwe parents: 3146 diff changeset	380 double result;
5701 252b6754e545 [project @ 2006-03-21 18:15:42 by jwe] jwe parents: 5700 diff changeset	381
19357 c6437824681c improve Matlab compatibility for gamma function (bug #43551) John W. Eaton <jwe@octave.org> parents: 17769 diff changeset	382 // Special cases for (near) compatibility with Matlab instead of
c6437824681c improve Matlab compatibility for gamma function (bug #43551) John W. Eaton <jwe@octave.org> parents: 17769 diff changeset	383 // tgamma. Matlab does not have -0.
c6437824681c improve Matlab compatibility for gamma function (bug #43551) John W. Eaton <jwe@octave.org> parents: 17769 diff changeset	384
c6437824681c improve Matlab compatibility for gamma function (bug #43551) John W. Eaton <jwe@octave.org> parents: 17769 diff changeset	385 if (x == 0)
c6437824681c improve Matlab compatibility for gamma function (bug #43551) John W. Eaton <jwe@octave.org> parents: 17769 diff changeset	386 result = xnegative_sign (x) ? -octave_Inf : octave_Inf;
c6437824681c improve Matlab compatibility for gamma function (bug #43551) John W. Eaton <jwe@octave.org> parents: 17769 diff changeset	387 else if ((x < 0 && D_NINT (x) == x) \|\| xisinf (x))
c6437824681c improve Matlab compatibility for gamma function (bug #43551) John W. Eaton <jwe@octave.org> parents: 17769 diff changeset	388 result = octave_Inf;
c6437824681c improve Matlab compatibility for gamma function (bug #43551) John W. Eaton <jwe@octave.org> parents: 17769 diff changeset	389 else if (xisnan (x))
17708 f10b7a578e2c Correct return values of gamma() (see Numerical, item 3 on Projects page). Craig Hudson <c_hudson_phd@hotmail.com> parents: 17502 diff changeset	390 result = octave_NaN;
5701 252b6754e545 [project @ 2006-03-21 18:15:42 by jwe] jwe parents: 5700 diff changeset	391 else
17708 f10b7a578e2c Correct return values of gamma() (see Numerical, item 3 on Projects page). Craig Hudson <c_hudson_phd@hotmail.com> parents: 17502 diff changeset	392 {
11327 ef0e995f8c0f correctly compute gamma for negative integer values when tgamma is available Marco Atzeri <marco_atzeri@yahoo.it> parents: 10902 diff changeset	393 #if defined (HAVE_TGAMMA)
17708 f10b7a578e2c Correct return values of gamma() (see Numerical, item 3 on Projects page). Craig Hudson <c_hudson_phd@hotmail.com> parents: 17502 diff changeset	394 result = tgamma (x);
11327 ef0e995f8c0f correctly compute gamma for negative integer values when tgamma is available Marco Atzeri <marco_atzeri@yahoo.it> parents: 10902 diff changeset	395 #else
17708 f10b7a578e2c Correct return values of gamma() (see Numerical, item 3 on Projects page). Craig Hudson <c_hudson_phd@hotmail.com> parents: 17502 diff changeset	396 F77_XFCN (xdgamma, XDGAMMA, (x, result));
11327 ef0e995f8c0f correctly compute gamma for negative integer values when tgamma is available Marco Atzeri <marco_atzeri@yahoo.it> parents: 10902 diff changeset	397 #endif
17708 f10b7a578e2c Correct return values of gamma() (see Numerical, item 3 on Projects page). Craig Hudson <c_hudson_phd@hotmail.com> parents: 17502 diff changeset	398 }
6969 0a64abe792f4 [project @ 2007-10-06 14:15:19 by jwe] jwe parents: 6961 diff changeset	399
3156 a494f93e60ff [project @ 1998-02-20 07:47:48 by jwe] jwe parents: 3146 diff changeset	400 return result;
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	401 }
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	402
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	403 double
3156 a494f93e60ff [project @ 1998-02-20 07:47:48 by jwe] jwe parents: 3146 diff changeset	404 xlgamma (double x)
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	405 {
6969 0a64abe792f4 [project @ 2007-10-06 14:15:19 by jwe] jwe parents: 6961 diff changeset	406 #if defined (HAVE_LGAMMA)
0a64abe792f4 [project @ 2007-10-06 14:15:19 by jwe] jwe parents: 6961 diff changeset	407 return lgamma (x);
0a64abe792f4 [project @ 2007-10-06 14:15:19 by jwe] jwe parents: 6961 diff changeset	408 #else
3156 a494f93e60ff [project @ 1998-02-20 07:47:48 by jwe] jwe parents: 3146 diff changeset	409 double result;
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	410 double sgngam;
4497 2a02f3a16fe0 [project @ 2003-09-04 18:48:13 by jwe] jwe parents: 4490 diff changeset	411
5701 252b6754e545 [project @ 2006-03-21 18:15:42 by jwe] jwe parents: 5700 diff changeset	412 if (xisnan (x))
252b6754e545 [project @ 2006-03-21 18:15:42 by jwe] jwe parents: 5700 diff changeset	413 result = x;
10902 9a64e02e2aad Validate input arguments for gamma, lgamma. Tatsuro MATSUOKA <tmacchant@yahoo.co.jp> parents: 10521 diff changeset	414 else if ((x <= 0 && D_NINT (x) == x) \|\| xisinf (x))
5701 252b6754e545 [project @ 2006-03-21 18:15:42 by jwe] jwe parents: 5700 diff changeset	415 result = octave_Inf;
5700 67118c88cee7 [project @ 2006-03-21 17:31:45 by jwe] jwe parents: 5307 diff changeset	416 else
67118c88cee7 [project @ 2006-03-21 17:31:45 by jwe] jwe parents: 5307 diff changeset	417 F77_XFCN (dlgams, DLGAMS, (x, result, sgngam));
4497 2a02f3a16fe0 [project @ 2003-09-04 18:48:13 by jwe] jwe parents: 4490 diff changeset	418
3156 a494f93e60ff [project @ 1998-02-20 07:47:48 by jwe] jwe parents: 3146 diff changeset	419 return result;
6969 0a64abe792f4 [project @ 2007-10-06 14:15:19 by jwe] jwe parents: 6961 diff changeset	420 #endif
6961 b559b4bcf51f [project @ 2007-10-05 19:35:21 by jwe] jwe parents: 5775 diff changeset	421 }
b559b4bcf51f [project @ 2007-10-05 19:35:21 by jwe] jwe parents: 5775 diff changeset	422
7601 8a939b217863 Treat negative values to lgamma and beta correctly David Bateman <dbateman@free.fr> parents: 7176 diff changeset	423 Complex
9812 f80c566bc751 improve unary mapper system Jaroslav Hajek <highegg@gmail.com> parents: 9732 diff changeset	424 rc_lgamma (double x)
7601 8a939b217863 Treat negative values to lgamma and beta correctly David Bateman <dbateman@free.fr> parents: 7176 diff changeset	425 {
8a939b217863 Treat negative values to lgamma and beta correctly David Bateman <dbateman@free.fr> parents: 7176 diff changeset	426 double result;
8a939b217863 Treat negative values to lgamma and beta correctly David Bateman <dbateman@free.fr> parents: 7176 diff changeset	427
8a939b217863 Treat negative values to lgamma and beta correctly David Bateman <dbateman@free.fr> parents: 7176 diff changeset	428 #if defined (HAVE_LGAMMA_R)
8a939b217863 Treat negative values to lgamma and beta correctly David Bateman <dbateman@free.fr> parents: 7176 diff changeset	429 int sgngam;
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11574 diff changeset	430 result = lgamma_r (x, &sgngam);
7601 8a939b217863 Treat negative values to lgamma and beta correctly David Bateman <dbateman@free.fr> parents: 7176 diff changeset	431 #else
8a939b217863 Treat negative values to lgamma and beta correctly David Bateman <dbateman@free.fr> parents: 7176 diff changeset	432 double sgngam;
8a939b217863 Treat negative values to lgamma and beta correctly David Bateman <dbateman@free.fr> parents: 7176 diff changeset	433
8a939b217863 Treat negative values to lgamma and beta correctly David Bateman <dbateman@free.fr> parents: 7176 diff changeset	434 if (xisnan (x))
8a939b217863 Treat negative values to lgamma and beta correctly David Bateman <dbateman@free.fr> parents: 7176 diff changeset	435 result = x;
10902 9a64e02e2aad Validate input arguments for gamma, lgamma. Tatsuro MATSUOKA <tmacchant@yahoo.co.jp> parents: 10521 diff changeset	436 else if ((x <= 0 && D_NINT (x) == x) \|\| xisinf (x))
7601 8a939b217863 Treat negative values to lgamma and beta correctly David Bateman <dbateman@free.fr> parents: 7176 diff changeset	437 result = octave_Inf;
8a939b217863 Treat negative values to lgamma and beta correctly David Bateman <dbateman@free.fr> parents: 7176 diff changeset	438 else
8a939b217863 Treat negative values to lgamma and beta correctly David Bateman <dbateman@free.fr> parents: 7176 diff changeset	439 F77_XFCN (dlgams, DLGAMS, (x, result, sgngam));
8a939b217863 Treat negative values to lgamma and beta correctly David Bateman <dbateman@free.fr> parents: 7176 diff changeset	440
8a939b217863 Treat negative values to lgamma and beta correctly David Bateman <dbateman@free.fr> parents: 7176 diff changeset	441 #endif
8a939b217863 Treat negative values to lgamma and beta correctly David Bateman <dbateman@free.fr> parents: 7176 diff changeset	442
8a939b217863 Treat negative values to lgamma and beta correctly David Bateman <dbateman@free.fr> parents: 7176 diff changeset	443 if (sgngam < 0)
8a939b217863 Treat negative values to lgamma and beta correctly David Bateman <dbateman@free.fr> parents: 7176 diff changeset	444 return result + Complex (0., M_PI);
8a939b217863 Treat negative values to lgamma and beta correctly David Bateman <dbateman@free.fr> parents: 7176 diff changeset	445 else
8a939b217863 Treat negative values to lgamma and beta correctly David Bateman <dbateman@free.fr> parents: 7176 diff changeset	446 return result;
8a939b217863 Treat negative values to lgamma and beta correctly David Bateman <dbateman@free.fr> parents: 7176 diff changeset	447 }
8a939b217863 Treat negative values to lgamma and beta correctly David Bateman <dbateman@free.fr> parents: 7176 diff changeset	448
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	449 float
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	450 xgamma (float x)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	451 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	452 float result;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	453
19357 c6437824681c improve Matlab compatibility for gamma function (bug #43551) John W. Eaton <jwe@octave.org> parents: 17769 diff changeset	454 // Special cases for (near) compatibility with Matlab instead of
c6437824681c improve Matlab compatibility for gamma function (bug #43551) John W. Eaton <jwe@octave.org> parents: 17769 diff changeset	455 // tgamma. Matlab does not have -0.
c6437824681c improve Matlab compatibility for gamma function (bug #43551) John W. Eaton <jwe@octave.org> parents: 17769 diff changeset	456
c6437824681c improve Matlab compatibility for gamma function (bug #43551) John W. Eaton <jwe@octave.org> parents: 17769 diff changeset	457 if (x == 0)
c6437824681c improve Matlab compatibility for gamma function (bug #43551) John W. Eaton <jwe@octave.org> parents: 17769 diff changeset	458 result = xnegative_sign (x) ? -octave_Float_Inf : octave_Float_Inf;
c6437824681c improve Matlab compatibility for gamma function (bug #43551) John W. Eaton <jwe@octave.org> parents: 17769 diff changeset	459 else if ((x < 0 && D_NINT (x) == x) \|\| xisinf (x))
c6437824681c improve Matlab compatibility for gamma function (bug #43551) John W. Eaton <jwe@octave.org> parents: 17769 diff changeset	460 result = octave_Float_Inf;
c6437824681c improve Matlab compatibility for gamma function (bug #43551) John W. Eaton <jwe@octave.org> parents: 17769 diff changeset	461 else if (xisnan (x))
17708 f10b7a578e2c Correct return values of gamma() (see Numerical, item 3 on Projects page). Craig Hudson <c_hudson_phd@hotmail.com> parents: 17502 diff changeset	462 result = octave_Float_NaN;
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	463 else
17708 f10b7a578e2c Correct return values of gamma() (see Numerical, item 3 on Projects page). Craig Hudson <c_hudson_phd@hotmail.com> parents: 17502 diff changeset	464 {
f10b7a578e2c Correct return values of gamma() (see Numerical, item 3 on Projects page). Craig Hudson <c_hudson_phd@hotmail.com> parents: 17502 diff changeset	465 #if defined (HAVE_TGAMMA)
f10b7a578e2c Correct return values of gamma() (see Numerical, item 3 on Projects page). Craig Hudson <c_hudson_phd@hotmail.com> parents: 17502 diff changeset	466 result = tgammaf (x);
11327 ef0e995f8c0f correctly compute gamma for negative integer values when tgamma is available Marco Atzeri <marco_atzeri@yahoo.it> parents: 10902 diff changeset	467 #else
17708 f10b7a578e2c Correct return values of gamma() (see Numerical, item 3 on Projects page). Craig Hudson <c_hudson_phd@hotmail.com> parents: 17502 diff changeset	468 F77_XFCN (xgamma, XGAMMA, (x, result));
11327 ef0e995f8c0f correctly compute gamma for negative integer values when tgamma is available Marco Atzeri <marco_atzeri@yahoo.it> parents: 10902 diff changeset	469 #endif
17708 f10b7a578e2c Correct return values of gamma() (see Numerical, item 3 on Projects page). Craig Hudson <c_hudson_phd@hotmail.com> parents: 17502 diff changeset	470 }
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	471
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	472 return result;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	473 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	474
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	475 float
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	476 xlgamma (float x)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	477 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	478 #if defined (HAVE_LGAMMAF)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	479 return lgammaf (x);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	480 #else
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	481 float result;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	482 float sgngam;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	483
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	484 if (xisnan (x))
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	485 result = x;
10902 9a64e02e2aad Validate input arguments for gamma, lgamma. Tatsuro MATSUOKA <tmacchant@yahoo.co.jp> parents: 10521 diff changeset	486 else if ((x <= 0 && D_NINT (x) == x) \|\| xisinf (x))
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	487 result = octave_Float_Inf;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	488 else
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	489 F77_XFCN (algams, ALGAMS, (x, result, sgngam));
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	490
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	491 return result;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	492 #endif
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	493 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	494
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	495 FloatComplex
9812 f80c566bc751 improve unary mapper system Jaroslav Hajek <highegg@gmail.com> parents: 9732 diff changeset	496 rc_lgamma (float x)
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	497 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	498 float result;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	499
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	500 #if defined (HAVE_LGAMMAF_R)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	501 int sgngam;
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11574 diff changeset	502 result = lgammaf_r (x, &sgngam);
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	503 #else
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	504 float sgngam;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	505
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	506 if (xisnan (x))
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	507 result = x;
10902 9a64e02e2aad Validate input arguments for gamma, lgamma. Tatsuro MATSUOKA <tmacchant@yahoo.co.jp> parents: 10521 diff changeset	508 else if ((x <= 0 && D_NINT (x) == x) \|\| xisinf (x))
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	509 result = octave_Float_Inf;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	510 else
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	511 F77_XFCN (algams, ALGAMS, (x, result, sgngam));
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	512
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	513 #endif
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	514
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	515 if (sgngam < 0)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	516 return result + FloatComplex (0., M_PI);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	517 else
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	518 return result;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	519 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	520
7638 2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	521 #if !defined (HAVE_EXPM1)
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	522 double
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	523 expm1 (double x)
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	524 {
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	525 double retval;
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	526
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	527 double ax = fabs (x);
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	528
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	529 if (ax < 0.1)
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	530 {
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	531 ax /= 16;
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	532
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	533 // use Taylor series to calculate exp(x)-1.
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	534 double t = ax;
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11574 diff changeset	535 double s = 0;
7638 2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	536 for (int i = 2; i < 7; i++)
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	537 s += (t *= ax/i);
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	538 s += ax;
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	539
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	540 // use the identity (a+1)^2-1 = a*(a+2)
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	541 double e = s;
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	542 for (int i = 0; i < 4; i++)
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	543 {
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	544 s *= e + 2;
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	545 e *= e + 2;
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	546 }
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	547
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	548 retval = (x > 0) ? s : -s / (1+s);
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	549 }
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	550 else
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	551 retval = exp (x) - 1;
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	552
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	553 return retval;
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	554 }
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	555 #endif
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	556
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11574 diff changeset	557 Complex
15018 3d8ace26c5b4 maint: Use Octave coding conventions for cuddled parentheses in liboctave/. Rik <rik@octave.org> parents: 14847 diff changeset	558 expm1 (const Complex& x)
7638 2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	559 {
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	560 Complex retval;
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	561
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	562 if (std:: abs (x) < 1)
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	563 {
14846 460a3c6d8bf1 maint: Use Octave coding convention for cuddled parenthis in function calls with empty argument lists. Rik <octave@nomad.inbox5.com> parents: 14844 diff changeset	564 double im = x.imag ();
7638 2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	565 double u = expm1 (x.real ());
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	566 double v = sin (im/2);
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	567 v = -2vv;
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	568 retval = Complex (uv + u + v, (u+1) sin (im));
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	569 }
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	570 else
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	571 retval = std::exp (x) - Complex (1);
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	572
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	573 return retval;
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	574 }
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	575
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	576 #if !defined (HAVE_EXPM1F)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	577 float
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	578 expm1f (float x)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	579 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	580 float retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	581
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	582 float ax = fabs (x);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	583
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	584 if (ax < 0.1)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	585 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	586 ax /= 16;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	587
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	588 // use Taylor series to calculate exp(x)-1.
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	589 float t = ax;
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11574 diff changeset	590 float s = 0;
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	591 for (int i = 2; i < 7; i++)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	592 s += (t *= ax/i);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	593 s += ax;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	594
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	595 // use the identity (a+1)^2-1 = a*(a+2)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	596 float e = s;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	597 for (int i = 0; i < 4; i++)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	598 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	599 s *= e + 2;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	600 e *= e + 2;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	601 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	602
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	603 retval = (x > 0) ? s : -s / (1+s);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	604 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	605 else
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	606 retval = exp (x) - 1;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	607
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	608 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	609 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	610 #endif
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	611
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11574 diff changeset	612 FloatComplex
15018 3d8ace26c5b4 maint: Use Octave coding conventions for cuddled parentheses in liboctave/. Rik <rik@octave.org> parents: 14847 diff changeset	613 expm1 (const FloatComplex& x)
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	614 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	615 FloatComplex retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	616
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	617 if (std:: abs (x) < 1)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	618 {
14846 460a3c6d8bf1 maint: Use Octave coding convention for cuddled parenthis in function calls with empty argument lists. Rik <octave@nomad.inbox5.com> parents: 14844 diff changeset	619 float im = x.imag ();
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	620 float u = expm1 (x.real ());
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	621 float v = sin (im/2);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	622 v = -2vv;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	623 retval = FloatComplex (uv + u + v, (u+1) sin (im));
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	624 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	625 else
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	626 retval = std::exp (x) - FloatComplex (1);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	627
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	628 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	629 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	630
7638 2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	631 #if !defined (HAVE_LOG1P)
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	632 double
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	633 log1p (double x)
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	634 {
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	635 double retval;
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	636
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	637 double ax = fabs (x);
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	638
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	639 if (ax < 0.2)
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	640 {
17769 49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/ Rik <rik@octave.org> parents: 17744 diff changeset	641 // approximation log (1+x) ~ 2*sum ((x/(2+x)).^ii ./ ii), ii = 1:2:2n+1
7638 2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	642 double u = x / (2 + x), t = 1, s = 0;
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	643 for (int i = 2; i < 12; i += 2)
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	644 s += (t = uu) / (i+1);
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	645
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	646 retval = 2 * (s + 1) * u;
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	647 }
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	648 else
19375 264ff6bf7475 use gnulib:: namespace for log, logf, localtime, and gmtime John W. Eaton <jwe@octave.org> parents: 19358 diff changeset	649 retval = gnulib::log (1 + x);
7638 2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	650
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	651 return retval;
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	652 }
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	653 #endif
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	654
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11574 diff changeset	655 Complex
7638 2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	656 log1p (const Complex& x)
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	657 {
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	658 Complex retval;
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	659
14846 460a3c6d8bf1 maint: Use Octave coding convention for cuddled parenthis in function calls with empty argument lists. Rik <octave@nomad.inbox5.com> parents: 14844 diff changeset	660 double r = x.real (), i = x.imag ();
7638 2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	661
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	662 if (fabs (r) < 0.5 && fabs (i) < 0.5)
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	663 {
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	664 double u = 2r + rr + i*i;
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	665 retval = Complex (log1p (u / (1+sqrt (u+1))),
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	666 atan2 (1 + r, i));
7638 2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	667 }
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	668 else
15018 3d8ace26c5b4 maint: Use Octave coding conventions for cuddled parentheses in liboctave/. Rik <rik@octave.org> parents: 14847 diff changeset	669 retval = std::log (Complex (1) + x);
7638 2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	670
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	671 return retval;
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	672 }
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	673
10414 2a8b1db1e2ca implement built-in cbrt Jaroslav Hajek <highegg@gmail.com> parents: 10391 diff changeset	674 #if !defined (HAVE_CBRT)
2a8b1db1e2ca implement built-in cbrt Jaroslav Hajek <highegg@gmail.com> parents: 10391 diff changeset	675 double cbrt (double x)
2a8b1db1e2ca implement built-in cbrt Jaroslav Hajek <highegg@gmail.com> parents: 10391 diff changeset	676 {
2a8b1db1e2ca implement built-in cbrt Jaroslav Hajek <highegg@gmail.com> parents: 10391 diff changeset	677 static const double one_third = 0.3333333333333333333;
2a8b1db1e2ca implement built-in cbrt Jaroslav Hajek <highegg@gmail.com> parents: 10391 diff changeset	678 if (xfinite (x))
2a8b1db1e2ca implement built-in cbrt Jaroslav Hajek <highegg@gmail.com> parents: 10391 diff changeset	679 {
2a8b1db1e2ca implement built-in cbrt Jaroslav Hajek <highegg@gmail.com> parents: 10391 diff changeset	680 // Use pow.
2a8b1db1e2ca implement built-in cbrt Jaroslav Hajek <highegg@gmail.com> parents: 10391 diff changeset	681 double y = std::pow (std::abs (x), one_third) * signum (x);
2a8b1db1e2ca implement built-in cbrt Jaroslav Hajek <highegg@gmail.com> parents: 10391 diff changeset	682 // Correct for better accuracy.
2a8b1db1e2ca implement built-in cbrt Jaroslav Hajek <highegg@gmail.com> parents: 10391 diff changeset	683 return (x / (y*y) + y + y) / 3;
2a8b1db1e2ca implement built-in cbrt Jaroslav Hajek <highegg@gmail.com> parents: 10391 diff changeset	684 }
2a8b1db1e2ca implement built-in cbrt Jaroslav Hajek <highegg@gmail.com> parents: 10391 diff changeset	685 else
2a8b1db1e2ca implement built-in cbrt Jaroslav Hajek <highegg@gmail.com> parents: 10391 diff changeset	686 return x;
2a8b1db1e2ca implement built-in cbrt Jaroslav Hajek <highegg@gmail.com> parents: 10391 diff changeset	687 }
2a8b1db1e2ca implement built-in cbrt Jaroslav Hajek <highegg@gmail.com> parents: 10391 diff changeset	688 #endif
2a8b1db1e2ca implement built-in cbrt Jaroslav Hajek <highegg@gmail.com> parents: 10391 diff changeset	689
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	690 #if !defined (HAVE_LOG1PF)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	691 float
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	692 log1pf (float x)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	693 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	694 float retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	695
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	696 float ax = fabs (x);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	697
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	698 if (ax < 0.2)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	699 {
17769 49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/ Rik <rik@octave.org> parents: 17744 diff changeset	700 // approximation log (1+x) ~ 2*sum ((x/(2+x)).^ii ./ ii), ii = 1:2:2n+1
19375 264ff6bf7475 use gnulib:: namespace for log, logf, localtime, and gmtime John W. Eaton <jwe@octave.org> parents: 19358 diff changeset	701 float u = x / (2 + x), t = 1.0f, s = 0;
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	702 for (int i = 2; i < 12; i += 2)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	703 s += (t = uu) / (i+1);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	704
19375 264ff6bf7475 use gnulib:: namespace for log, logf, localtime, and gmtime John W. Eaton <jwe@octave.org> parents: 19358 diff changeset	705 retval = 2 * (s + 1.0f) * u;
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	706 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	707 else
19375 264ff6bf7475 use gnulib:: namespace for log, logf, localtime, and gmtime John W. Eaton <jwe@octave.org> parents: 19358 diff changeset	708 retval = gnulib::logf (1.0f + x);
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	709
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	710 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	711 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	712 #endif
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	713
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11574 diff changeset	714 FloatComplex
9812 f80c566bc751 improve unary mapper system Jaroslav Hajek <highegg@gmail.com> parents: 9732 diff changeset	715 log1p (const FloatComplex& x)
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	716 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	717 FloatComplex retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	718
14816 0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	719 float r = x.real (), i = x.imag ();
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	720
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	721 if (fabs (r) < 0.5 && fabs (i) < 0.5)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	722 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	723 float u = 2r + rr + i*i;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	724 retval = FloatComplex (log1p (u / (1+sqrt (u+1))),
17769 49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/ Rik <rik@octave.org> parents: 17744 diff changeset	725 atan2 (1 + r, i));
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	726 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	727 else
15018 3d8ace26c5b4 maint: Use Octave coding conventions for cuddled parentheses in liboctave/. Rik <rik@octave.org> parents: 14847 diff changeset	728 retval = std::log (FloatComplex (1) + x);
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	729
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	730 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	731 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	732
10414 2a8b1db1e2ca implement built-in cbrt Jaroslav Hajek <highegg@gmail.com> parents: 10391 diff changeset	733 #if !defined (HAVE_CBRTF)
2a8b1db1e2ca implement built-in cbrt Jaroslav Hajek <highegg@gmail.com> parents: 10391 diff changeset	734 float cbrtf (float x)
2a8b1db1e2ca implement built-in cbrt Jaroslav Hajek <highegg@gmail.com> parents: 10391 diff changeset	735 {
2a8b1db1e2ca implement built-in cbrt Jaroslav Hajek <highegg@gmail.com> parents: 10391 diff changeset	736 static const float one_third = 0.3333333333333333333f;
2a8b1db1e2ca implement built-in cbrt Jaroslav Hajek <highegg@gmail.com> parents: 10391 diff changeset	737 if (xfinite (x))
2a8b1db1e2ca implement built-in cbrt Jaroslav Hajek <highegg@gmail.com> parents: 10391 diff changeset	738 {
2a8b1db1e2ca implement built-in cbrt Jaroslav Hajek <highegg@gmail.com> parents: 10391 diff changeset	739 // Use pow.
2a8b1db1e2ca implement built-in cbrt Jaroslav Hajek <highegg@gmail.com> parents: 10391 diff changeset	740 float y = std::pow (std::abs (x), one_third) * signum (x);
2a8b1db1e2ca implement built-in cbrt Jaroslav Hajek <highegg@gmail.com> parents: 10391 diff changeset	741 // Correct for better accuracy.
2a8b1db1e2ca implement built-in cbrt Jaroslav Hajek <highegg@gmail.com> parents: 10391 diff changeset	742 return (x / (y*y) + y + y) / 3;
2a8b1db1e2ca implement built-in cbrt Jaroslav Hajek <highegg@gmail.com> parents: 10391 diff changeset	743 }
2a8b1db1e2ca implement built-in cbrt Jaroslav Hajek <highegg@gmail.com> parents: 10391 diff changeset	744 else
2a8b1db1e2ca implement built-in cbrt Jaroslav Hajek <highegg@gmail.com> parents: 10391 diff changeset	745 return x;
2a8b1db1e2ca implement built-in cbrt Jaroslav Hajek <highegg@gmail.com> parents: 10391 diff changeset	746 }
2a8b1db1e2ca implement built-in cbrt Jaroslav Hajek <highegg@gmail.com> parents: 10391 diff changeset	747 #endif
2a8b1db1e2ca implement built-in cbrt Jaroslav Hajek <highegg@gmail.com> parents: 10391 diff changeset	748
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	749 static inline Complex
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	750 zbesj (const Complex& z, double alpha, int kode, octave_idx_type& ierr);
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	751
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	752 static inline Complex
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	753 zbesy (const Complex& z, double alpha, int kode, octave_idx_type& ierr);
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	754
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	755 static inline Complex
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	756 zbesi (const Complex& z, double alpha, int kode, octave_idx_type& ierr);
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	757
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	758 static inline Complex
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	759 zbesk (const Complex& z, double alpha, int kode, octave_idx_type& ierr);
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	760
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	761 static inline Complex
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	762 zbesh1 (const Complex& z, double alpha, int kode, octave_idx_type& ierr);
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	763
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	764 static inline Complex
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	765 zbesh2 (const Complex& z, double alpha, int kode, octave_idx_type& ierr);
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	766
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	767 static inline Complex
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	768 bessel_return_value (const Complex& val, octave_idx_type ierr)
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	769 {
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	770 static const Complex inf_val = Complex (octave_Inf, octave_Inf);
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	771 static const Complex nan_val = Complex (octave_NaN, octave_NaN);
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	772
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	773 Complex retval;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	774
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	775 switch (ierr)
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	776 {
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	777 case 0:
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	778 case 3:
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	779 retval = val;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	780 break;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	781
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	782 case 2:
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	783 retval = inf_val;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	784 break;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	785
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	786 default:
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	787 retval = nan_val;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	788 break;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	789 }
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	790
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	791 return retval;
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	792 }
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	793
4911 14027e0bafa4 [project @ 2004-07-22 19:58:06 by jwe] jwe parents: 4844 diff changeset	794 static inline bool
14027e0bafa4 [project @ 2004-07-22 19:58:06 by jwe] jwe parents: 4844 diff changeset	795 is_integer_value (double x)
14027e0bafa4 [project @ 2004-07-22 19:58:06 by jwe] jwe parents: 4844 diff changeset	796 {
14027e0bafa4 [project @ 2004-07-22 19:58:06 by jwe] jwe parents: 4844 diff changeset	797 return x == static_cast<double> (static_cast<long> (x));
14027e0bafa4 [project @ 2004-07-22 19:58:06 by jwe] jwe parents: 4844 diff changeset	798 }
14027e0bafa4 [project @ 2004-07-22 19:58:06 by jwe] jwe parents: 4844 diff changeset	799
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	800 static inline Complex
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	801 zbesj (const Complex& z, double alpha, int kode, octave_idx_type& ierr)
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	802 {
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	803 Complex retval;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	804
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	805 if (alpha >= 0.0)
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	806 {
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	807 double yr = 0.0;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	808 double yi = 0.0;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	809
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	810 octave_idx_type nz;
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	811
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	812 double zr = z.real ();
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	813 double zi = z.imag ();
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	814
4506 3c82fc8f822c [project @ 2003-09-10 13:56:57 by jwe] jwe parents: 4497 diff changeset	815 F77_FUNC (zbesj, ZBESJ) (zr, zi, alpha, 2, 1, &yr, &yi, nz, ierr);
3c82fc8f822c [project @ 2003-09-10 13:56:57 by jwe] jwe parents: 4497 diff changeset	816
3c82fc8f822c [project @ 2003-09-10 13:56:57 by jwe] jwe parents: 4497 diff changeset	817 if (kode != 2)
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	818 {
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11574 diff changeset	819 double expz = exp (std::abs (zi));
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	820 yr *= expz;
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	821 yi *= expz;
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	822 }
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	823
4490 1aed172ab84a [project @ 2003-08-28 19:03:06 by jwe] jwe parents: 4180 diff changeset	824 if (zi == 0.0 && zr >= 0.0)
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	825 yi = 0.0;
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	826
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	827 retval = bessel_return_value (Complex (yr, yi), ierr);
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	828 }
4911 14027e0bafa4 [project @ 2004-07-22 19:58:06 by jwe] jwe parents: 4844 diff changeset	829 else if (is_integer_value (alpha))
14027e0bafa4 [project @ 2004-07-22 19:58:06 by jwe] jwe parents: 4844 diff changeset	830 {
14027e0bafa4 [project @ 2004-07-22 19:58:06 by jwe] jwe parents: 4844 diff changeset	831 // zbesy can overflow as z->0, and cause troubles for generic case below
14027e0bafa4 [project @ 2004-07-22 19:58:06 by jwe] jwe parents: 4844 diff changeset	832 alpha = -alpha;
14027e0bafa4 [project @ 2004-07-22 19:58:06 by jwe] jwe parents: 4844 diff changeset	833 Complex tmp = zbesj (z, alpha, kode, ierr);
19739 3fa35defe495 Adjust spacing of static_cast<> calls to follow Octave coding conventions. Rik <rik@octave.org> parents: 19697 diff changeset	834 if ((static_cast<long> (alpha)) & 1)
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	835 tmp = - tmp;
4911 14027e0bafa4 [project @ 2004-07-22 19:58:06 by jwe] jwe parents: 4844 diff changeset	836 retval = bessel_return_value (tmp, ierr);
14027e0bafa4 [project @ 2004-07-22 19:58:06 by jwe] jwe parents: 4844 diff changeset	837 }
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	838 else
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	839 {
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	840 alpha = -alpha;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	841
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	842 Complex tmp = cos (M_PI * alpha) * zbesj (z, alpha, kode, ierr);
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	843
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	844 if (ierr == 0 \|\| ierr == 3)
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	845 {
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	846 tmp -= sin (M_PI * alpha) * zbesy (z, alpha, kode, ierr);
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	847
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	848 retval = bessel_return_value (tmp, ierr);
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	849 }
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	850 else
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	851 retval = Complex (octave_NaN, octave_NaN);
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	852 }
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	853
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	854 return retval;
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	855 }
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	856
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	857 static inline Complex
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	858 zbesy (const Complex& z, double alpha, int kode, octave_idx_type& ierr)
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	859 {
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	860 Complex retval;
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	861
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	862 if (alpha >= 0.0)
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	863 {
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	864 double yr = 0.0;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	865 double yi = 0.0;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	866
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	867 octave_idx_type nz;
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	868
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	869 double wr, wi;
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	870
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	871 double zr = z.real ();
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	872 double zi = z.imag ();
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	873
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	874 ierr = 0;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	875
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	876 if (zr == 0.0 && zi == 0.0)
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	877 {
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	878 yr = -octave_Inf;
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	879 yi = 0.0;
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	880 }
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	881 else
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	882 {
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	883 F77_FUNC (zbesy, ZBESY) (zr, zi, alpha, 2, 1, &yr, &yi, nz,
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	884 &wr, &wi, ierr);
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	885
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	886 if (kode != 2)
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	887 {
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	888 double expz = exp (std::abs (zi));
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	889 yr *= expz;
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	890 yi *= expz;
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	891 }
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	892
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	893 if (zi == 0.0 && zr >= 0.0)
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	894 yi = 0.0;
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	895 }
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	896
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	897 return bessel_return_value (Complex (yr, yi), ierr);
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	898 }
4911 14027e0bafa4 [project @ 2004-07-22 19:58:06 by jwe] jwe parents: 4844 diff changeset	899 else if (is_integer_value (alpha - 0.5))
14027e0bafa4 [project @ 2004-07-22 19:58:06 by jwe] jwe parents: 4844 diff changeset	900 {
14027e0bafa4 [project @ 2004-07-22 19:58:06 by jwe] jwe parents: 4844 diff changeset	901 // zbesy can overflow as z->0, and cause troubles for generic case below
14027e0bafa4 [project @ 2004-07-22 19:58:06 by jwe] jwe parents: 4844 diff changeset	902 alpha = -alpha;
14027e0bafa4 [project @ 2004-07-22 19:58:06 by jwe] jwe parents: 4844 diff changeset	903 Complex tmp = zbesj (z, alpha, kode, ierr);
19739 3fa35defe495 Adjust spacing of static_cast<> calls to follow Octave coding conventions. Rik <rik@octave.org> parents: 19697 diff changeset	904 if ((static_cast<long> (alpha - 0.5)) & 1)
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	905 tmp = - tmp;
4911 14027e0bafa4 [project @ 2004-07-22 19:58:06 by jwe] jwe parents: 4844 diff changeset	906 retval = bessel_return_value (tmp, ierr);
14027e0bafa4 [project @ 2004-07-22 19:58:06 by jwe] jwe parents: 4844 diff changeset	907 }
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	908 else
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	909 {
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	910 alpha = -alpha;
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	911
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	912 Complex tmp = cos (M_PI * alpha) * zbesy (z, alpha, kode, ierr);
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	913
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	914 if (ierr == 0 \|\| ierr == 3)
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	915 {
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	916 tmp += sin (M_PI * alpha) * zbesj (z, alpha, kode, ierr);
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	917
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	918 retval = bessel_return_value (tmp, ierr);
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	919 }
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	920 else
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	921 retval = Complex (octave_NaN, octave_NaN);
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	922 }
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	923
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	924 return retval;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	925 }
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	926
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	927 static inline Complex
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	928 zbesi (const Complex& z, double alpha, int kode, octave_idx_type& ierr)
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	929 {
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	930 Complex retval;
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	931
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	932 if (alpha >= 0.0)
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	933 {
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	934 double yr = 0.0;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	935 double yi = 0.0;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	936
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	937 octave_idx_type nz;
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	938
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	939 double zr = z.real ();
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	940 double zi = z.imag ();
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	941
4506 3c82fc8f822c [project @ 2003-09-10 13:56:57 by jwe] jwe parents: 4497 diff changeset	942 F77_FUNC (zbesi, ZBESI) (zr, zi, alpha, 2, 1, &yr, &yi, nz, ierr);
3c82fc8f822c [project @ 2003-09-10 13:56:57 by jwe] jwe parents: 4497 diff changeset	943
3c82fc8f822c [project @ 2003-09-10 13:56:57 by jwe] jwe parents: 4497 diff changeset	944 if (kode != 2)
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	945 {
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	946 double expz = exp (std::abs (zr));
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	947 yr *= expz;
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	948 yi *= expz;
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	949 }
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	950
4490 1aed172ab84a [project @ 2003-08-28 19:03:06 by jwe] jwe parents: 4180 diff changeset	951 if (zi == 0.0 && zr >= 0.0)
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	952 yi = 0.0;
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	953
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	954 retval = bessel_return_value (Complex (yr, yi), ierr);
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	955 }
14196 35ce1eab7400 besseli: use special case for negative integer orders John W. Eaton <jwe@octave.org> parents: 14138 diff changeset	956 else if (is_integer_value (alpha))
35ce1eab7400 besseli: use special case for negative integer orders John W. Eaton <jwe@octave.org> parents: 14138 diff changeset	957 {
35ce1eab7400 besseli: use special case for negative integer orders John W. Eaton <jwe@octave.org> parents: 14138 diff changeset	958 // zbesi can overflow as z->0, and cause troubles for generic case below
35ce1eab7400 besseli: use special case for negative integer orders John W. Eaton <jwe@octave.org> parents: 14138 diff changeset	959 alpha = -alpha;
35ce1eab7400 besseli: use special case for negative integer orders John W. Eaton <jwe@octave.org> parents: 14138 diff changeset	960 Complex tmp = zbesi (z, alpha, kode, ierr);
35ce1eab7400 besseli: use special case for negative integer orders John W. Eaton <jwe@octave.org> parents: 14138 diff changeset	961 retval = bessel_return_value (tmp, ierr);
35ce1eab7400 besseli: use special case for negative integer orders John W. Eaton <jwe@octave.org> parents: 14138 diff changeset	962 }
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	963 else
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	964 {
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	965 alpha = -alpha;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	966
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	967 Complex tmp = zbesi (z, alpha, kode, ierr);
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	968
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	969 if (ierr == 0 \|\| ierr == 3)
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	970 {
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	971 Complex tmp2 = (2.0 / M_PI) * sin (M_PI * alpha)
17769 49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/ Rik <rik@octave.org> parents: 17744 diff changeset	972 * zbesk (z, alpha, kode, ierr);
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11574 diff changeset	973
12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11574 diff changeset	974 if (kode == 2)
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	975 {
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	976 // Compensate for different scaling factor of besk.
15018 3d8ace26c5b4 maint: Use Octave coding conventions for cuddled parentheses in liboctave/. Rik <rik@octave.org> parents: 14847 diff changeset	977 tmp2 *= exp (-z - std::abs (z.real ()));
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	978 }
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11574 diff changeset	979
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	980 tmp += tmp2;
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	981
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	982 retval = bessel_return_value (tmp, ierr);
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	983 }
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	984 else
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	985 retval = Complex (octave_NaN, octave_NaN);
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	986 }
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	987
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	988 return retval;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	989 }
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	990
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	991 static inline Complex
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	992 zbesk (const Complex& z, double alpha, int kode, octave_idx_type& ierr)
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	993 {
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	994 Complex retval;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	995
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	996 if (alpha >= 0.0)
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	997 {
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	998 double yr = 0.0;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	999 double yi = 0.0;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1000
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	1001 octave_idx_type nz;
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1002
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1003 double zr = z.real ();
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1004 double zi = z.imag ();
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1005
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1006 ierr = 0;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1007
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1008 if (zr == 0.0 && zi == 0.0)
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1009 {
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1010 yr = octave_Inf;
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1011 yi = 0.0;
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1012 }
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1013 else
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1014 {
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1015 F77_FUNC (zbesk, ZBESK) (zr, zi, alpha, 2, 1, &yr, &yi, nz, ierr);
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1016
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1017 if (kode != 2)
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1018 {
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1019 Complex expz = exp (-z);
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1020
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1021 double rexpz = real (expz);
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1022 double iexpz = imag (expz);
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1023
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1024 double tmp = yrrexpz - yiiexpz;
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1025
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1026 yi = yriexpz + yirexpz;
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1027 yr = tmp;
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1028 }
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1029
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1030 if (zi == 0.0 && zr >= 0.0)
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1031 yi = 0.0;
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1032 }
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1033
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1034 retval = bessel_return_value (Complex (yr, yi), ierr);
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1035 }
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1036 else
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1037 {
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1038 Complex tmp = zbesk (z, -alpha, kode, ierr);
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1039
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1040 retval = bessel_return_value (tmp, ierr);
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1041 }
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	1042
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	1043 return retval;
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	1044 }
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	1045
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1046 static inline Complex
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	1047 zbesh1 (const Complex& z, double alpha, int kode, octave_idx_type& ierr)
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	1048 {
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1049 Complex retval;
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	1050
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1051 if (alpha >= 0.0)
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	1052 {
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1053 double yr = 0.0;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1054 double yi = 0.0;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1055
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	1056 octave_idx_type nz;
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1057
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1058 double zr = z.real ();
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1059 double zi = z.imag ();
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	1060
4506 3c82fc8f822c [project @ 2003-09-10 13:56:57 by jwe] jwe parents: 4497 diff changeset	1061 F77_FUNC (zbesh, ZBESH) (zr, zi, alpha, 2, 1, 1, &yr, &yi, nz, ierr);
3c82fc8f822c [project @ 2003-09-10 13:56:57 by jwe] jwe parents: 4497 diff changeset	1062
3c82fc8f822c [project @ 2003-09-10 13:56:57 by jwe] jwe parents: 4497 diff changeset	1063 if (kode != 2)
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1064 {
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1065 Complex expz = exp (Complex (0.0, 1.0) * z);
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1066
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1067 double rexpz = real (expz);
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1068 double iexpz = imag (expz);
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1069
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1070 double tmp = yrrexpz - yiiexpz;
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1071
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1072 yi = yriexpz + yirexpz;
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1073 yr = tmp;
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1074 }
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	1075
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1076 retval = bessel_return_value (Complex (yr, yi), ierr);
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1077 }
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1078 else
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1079 {
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1080 alpha = -alpha;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1081
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1082 static const Complex eye = Complex (0.0, 1.0);
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	1083
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1084 Complex tmp = exp (M_PI * alpha * eye) * zbesh1 (z, alpha, kode, ierr);
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	1085
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1086 retval = bessel_return_value (tmp, ierr);
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1087 }
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	1088
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1089 return retval;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1090 }
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	1091
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1092 static inline Complex
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	1093 zbesh2 (const Complex& z, double alpha, int kode, octave_idx_type& ierr)
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1094 {
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1095 Complex retval;
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	1096
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1097 if (alpha >= 0.0)
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1098 {
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1099 double yr = 0.0;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1100 double yi = 0.0;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1101
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	1102 octave_idx_type nz;
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	1103
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1104 double zr = z.real ();
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1105 double zi = z.imag ();
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	1106
4506 3c82fc8f822c [project @ 2003-09-10 13:56:57 by jwe] jwe parents: 4497 diff changeset	1107 F77_FUNC (zbesh, ZBESH) (zr, zi, alpha, 2, 2, 1, &yr, &yi, nz, ierr);
3c82fc8f822c [project @ 2003-09-10 13:56:57 by jwe] jwe parents: 4497 diff changeset	1108
3c82fc8f822c [project @ 2003-09-10 13:56:57 by jwe] jwe parents: 4497 diff changeset	1109 if (kode != 2)
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1110 {
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1111 Complex expz = exp (-Complex (0.0, 1.0) * z);
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1112
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1113 double rexpz = real (expz);
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1114 double iexpz = imag (expz);
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1115
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1116 double tmp = yrrexpz - yiiexpz;
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1117
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1118 yi = yriexpz + yirexpz;
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1119 yr = tmp;
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1120 }
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1121
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1122 retval = bessel_return_value (Complex (yr, yi), ierr);
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	1123 }
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	1124 else
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1125 {
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1126 alpha = -alpha;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1127
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1128 static const Complex eye = Complex (0.0, 1.0);
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1129
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1130 Complex tmp = exp (-M_PI * alpha * eye) * zbesh2 (z, alpha, kode, ierr);
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1131
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1132 retval = bessel_return_value (tmp, ierr);
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1133 }
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1134
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1135 return retval;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1136 }
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1137
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1138 typedef Complex (*dptr) (const Complex&, double, int, octave_idx_type&);
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1139
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1140 static inline Complex
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1141 do_bessel (dptr f, const char *, double alpha, const Complex& x,
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1142 bool scaled, octave_idx_type& ierr)
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1143 {
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1144 Complex retval;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1145
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1146 retval = f (x, alpha, (scaled ? 2 : 1), ierr);
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1147
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1148 return retval;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1149 }
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1150
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1151 static inline ComplexMatrix
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1152 do_bessel (dptr f, const char *, double alpha, const ComplexMatrix& x,
10352 a3635bc1ea19 remove Array2 Jaroslav Hajek <highegg@gmail.com> parents: 10314 diff changeset	1153 bool scaled, Array<octave_idx_type>& ierr)
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1154 {
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	1155 octave_idx_type nr = x.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	1156 octave_idx_type nc = x.cols ();
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1157
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1158 ComplexMatrix retval (nr, nc);
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1159
11574 a83bad07f7e3 attempt better backward compatibility for Array resize functions John W. Eaton <jwe@octave.org> parents: 11523 diff changeset	1160 ierr.resize (dim_vector (nr, nc));
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1161
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	1162 for (octave_idx_type j = 0; j < nc; j++)
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	1163 for (octave_idx_type i = 0; i < nr; i++)
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1164 retval(i,j) = f (x(i,j), alpha, (scaled ? 2 : 1), ierr(i,j));
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1165
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1166 return retval;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1167 }
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1168
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1169 static inline ComplexMatrix
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1170 do_bessel (dptr f, const char *, const Matrix& alpha, const Complex& x,
10352 a3635bc1ea19 remove Array2 Jaroslav Hajek <highegg@gmail.com> parents: 10314 diff changeset	1171 bool scaled, Array<octave_idx_type>& ierr)
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1172 {
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	1173 octave_idx_type nr = alpha.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	1174 octave_idx_type nc = alpha.cols ();
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1175
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1176 ComplexMatrix retval (nr, nc);
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1177
11574 a83bad07f7e3 attempt better backward compatibility for Array resize functions John W. Eaton <jwe@octave.org> parents: 11523 diff changeset	1178 ierr.resize (dim_vector (nr, nc));
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1179
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	1180 for (octave_idx_type j = 0; j < nc; j++)
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	1181 for (octave_idx_type i = 0; i < nr; i++)
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1182 retval(i,j) = f (x, alpha(i,j), (scaled ? 2 : 1), ierr(i,j));
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	1183
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	1184 return retval;
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	1185 }
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	1186
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1187 static inline ComplexMatrix
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1188 do_bessel (dptr f, const char *fn, const Matrix& alpha,
10352 a3635bc1ea19 remove Array2 Jaroslav Hajek <highegg@gmail.com> parents: 10314 diff changeset	1189 const ComplexMatrix& x, bool scaled, Array<octave_idx_type>& ierr)
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	1190 {
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1191 ComplexMatrix retval;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1192
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	1193 octave_idx_type x_nr = x.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	1194 octave_idx_type x_nc = x.cols ();
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1195
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	1196 octave_idx_type alpha_nr = alpha.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	1197 octave_idx_type alpha_nc = alpha.cols ();
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1198
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1199 if (x_nr == alpha_nr && x_nc == alpha_nc)
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1200 {
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	1201 octave_idx_type nr = x_nr;
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	1202 octave_idx_type nc = x_nc;
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1203
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1204 retval.resize (nr, nc);
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1205
11574 a83bad07f7e3 attempt better backward compatibility for Array resize functions John W. Eaton <jwe@octave.org> parents: 11523 diff changeset	1206 ierr.resize (dim_vector (nr, nc));
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1207
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	1208 for (octave_idx_type j = 0; j < nc; j++)
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1209 for (octave_idx_type i = 0; i < nr; i++)
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1210 retval(i,j) = f (x(i,j), alpha(i,j), (scaled ? 2 : 1), ierr(i,j));
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1211 }
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1212 else
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1213 (*current_liboctave_error_handler)
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1214 ("%s: the sizes of alpha and x must conform", fn);
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1215
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1216 return retval;
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	1217 }
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	1218
4844 9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1219 static inline ComplexNDArray
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1220 do_bessel (dptr f, const char *, double alpha, const ComplexNDArray& x,
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1221 bool scaled, Array<octave_idx_type>& ierr)
4844 9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1222 {
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1223 dim_vector dv = x.dims ();
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	1224 octave_idx_type nel = dv.numel ();
4844 9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1225 ComplexNDArray retval (dv);
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1226
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1227 ierr.resize (dv);
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1228
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	1229 for (octave_idx_type i = 0; i < nel; i++)
17769 49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/ Rik <rik@octave.org> parents: 17744 diff changeset	1230 retval(i) = f (x(i), alpha, (scaled ? 2 : 1), ierr(i));
4844 9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1231
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1232 return retval;
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1233 }
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1234
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1235 static inline ComplexNDArray
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1236 do_bessel (dptr f, const char *, const NDArray& alpha, const Complex& x,
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1237 bool scaled, Array<octave_idx_type>& ierr)
4844 9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1238 {
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1239 dim_vector dv = alpha.dims ();
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	1240 octave_idx_type nel = dv.numel ();
4844 9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1241 ComplexNDArray retval (dv);
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1242
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1243 ierr.resize (dv);
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1244
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	1245 for (octave_idx_type i = 0; i < nel; i++)
4844 9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1246 retval(i) = f (x, alpha(i), (scaled ? 2 : 1), ierr(i));
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1247
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1248 return retval;
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1249 }
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1250
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1251 static inline ComplexNDArray
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1252 do_bessel (dptr f, const char *fn, const NDArray& alpha,
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1253 const ComplexNDArray& x, bool scaled, Array<octave_idx_type>& ierr)
4844 9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1254 {
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1255 dim_vector dv = x.dims ();
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1256 ComplexNDArray retval;
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1257
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1258 if (dv == alpha.dims ())
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1259 {
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	1260 octave_idx_type nel = dv.numel ();
4844 9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1261
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1262 retval.resize (dv);
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1263 ierr.resize (dv);
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1264
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	1265 for (octave_idx_type i = 0; i < nel; i++)
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1266 retval(i) = f (x(i), alpha(i), (scaled ? 2 : 1), ierr(i));
4844 9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1267 }
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1268 else
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1269 (*current_liboctave_error_handler)
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1270 ("%s: the sizes of alpha and x must conform", fn);
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1271
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1272 return retval;
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1273 }
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1274
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1275 static inline ComplexMatrix
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1276 do_bessel (dptr f, const char *, const RowVector& alpha,
17769 49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/ Rik <rik@octave.org> parents: 17744 diff changeset	1277 const ComplexColumnVector& x, bool scaled,
49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/ Rik <rik@octave.org> parents: 17744 diff changeset	1278 Array<octave_idx_type>& ierr)
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	1279 {
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	1280 octave_idx_type nr = x.length ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	1281 octave_idx_type nc = alpha.length ();
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1282
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1283 ComplexMatrix retval (nr, nc);
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	1284
11574 a83bad07f7e3 attempt better backward compatibility for Array resize functions John W. Eaton <jwe@octave.org> parents: 11523 diff changeset	1285 ierr.resize (dim_vector (nr, nc));
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1286
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	1287 for (octave_idx_type j = 0; j < nc; j++)
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	1288 for (octave_idx_type i = 0; i < nr; i++)
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1289 retval(i,j) = f (x(i), alpha(j), (scaled ? 2 : 1), ierr(i,j));
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1290
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1291 return retval;
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	1292 }
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	1293
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1294 #define SS_BESSEL(name, fcn) \
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1295 Complex \
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	1296 name (double alpha, const Complex& x, bool scaled, octave_idx_type& ierr) \
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1297 { \
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1298 return do_bessel (fcn, #name, alpha, x, scaled, ierr); \
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1299 }
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1300
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1301 #define SM_BESSEL(name, fcn) \
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1302 ComplexMatrix \
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1303 name (double alpha, const ComplexMatrix& x, bool scaled, \
10352 a3635bc1ea19 remove Array2 Jaroslav Hajek <highegg@gmail.com> parents: 10314 diff changeset	1304 Array<octave_idx_type>& ierr) \
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1305 { \
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1306 return do_bessel (fcn, #name, alpha, x, scaled, ierr); \
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1307 }
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1308
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1309 #define MS_BESSEL(name, fcn) \
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1310 ComplexMatrix \
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1311 name (const Matrix& alpha, const Complex& x, bool scaled, \
10352 a3635bc1ea19 remove Array2 Jaroslav Hajek <highegg@gmail.com> parents: 10314 diff changeset	1312 Array<octave_idx_type>& ierr) \
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1313 { \
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1314 return do_bessel (fcn, #name, alpha, x, scaled, ierr); \
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1315 }
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1316
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1317 #define MM_BESSEL(name, fcn) \
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1318 ComplexMatrix \
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1319 name (const Matrix& alpha, const ComplexMatrix& x, bool scaled, \
10352 a3635bc1ea19 remove Array2 Jaroslav Hajek <highegg@gmail.com> parents: 10314 diff changeset	1320 Array<octave_idx_type>& ierr) \
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1321 { \
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1322 return do_bessel (fcn, #name, alpha, x, scaled, ierr); \
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1323 }
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1324
4844 9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1325 #define SN_BESSEL(name, fcn) \
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1326 ComplexNDArray \
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1327 name (double alpha, const ComplexNDArray& x, bool scaled, \
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1328 Array<octave_idx_type>& ierr) \
4844 9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1329 { \
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1330 return do_bessel (fcn, #name, alpha, x, scaled, ierr); \
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1331 }
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1332
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1333 #define NS_BESSEL(name, fcn) \
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1334 ComplexNDArray \
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1335 name (const NDArray& alpha, const Complex& x, bool scaled, \
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1336 Array<octave_idx_type>& ierr) \
4844 9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1337 { \
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1338 return do_bessel (fcn, #name, alpha, x, scaled, ierr); \
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1339 }
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1340
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1341 #define NN_BESSEL(name, fcn) \
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1342 ComplexNDArray \
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1343 name (const NDArray& alpha, const ComplexNDArray& x, bool scaled, \
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1344 Array<octave_idx_type>& ierr) \
4844 9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1345 { \
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1346 return do_bessel (fcn, #name, alpha, x, scaled, ierr); \
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1347 }
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1348
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1349 #define RC_BESSEL(name, fcn) \
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1350 ComplexMatrix \
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1351 name (const RowVector& alpha, const ComplexColumnVector& x, bool scaled, \
10352 a3635bc1ea19 remove Array2 Jaroslav Hajek <highegg@gmail.com> parents: 10314 diff changeset	1352 Array<octave_idx_type>& ierr) \
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1353 { \
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1354 return do_bessel (fcn, #name, alpha, x, scaled, ierr); \
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1355 }
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1356
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1357 #define ALL_BESSEL(name, fcn) \
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1358 SS_BESSEL (name, fcn) \
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1359 SM_BESSEL (name, fcn) \
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1360 MS_BESSEL (name, fcn) \
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1361 MM_BESSEL (name, fcn) \
4844 9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1362 SN_BESSEL (name, fcn) \
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1363 NS_BESSEL (name, fcn) \
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1364 NN_BESSEL (name, fcn) \
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1365 RC_BESSEL (name, fcn)
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1366
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1367 ALL_BESSEL (besselj, zbesj)
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1368 ALL_BESSEL (bessely, zbesy)
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1369 ALL_BESSEL (besseli, zbesi)
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1370 ALL_BESSEL (besselk, zbesk)
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1371 ALL_BESSEL (besselh1, zbesh1)
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1372 ALL_BESSEL (besselh2, zbesh2)
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1373
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1374 #undef ALL_BESSEL
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1375 #undef SS_BESSEL
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1376 #undef SM_BESSEL
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1377 #undef MS_BESSEL
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1378 #undef MM_BESSEL
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1379 #undef SN_BESSEL
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1380 #undef NS_BESSEL
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1381 #undef NN_BESSEL
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1382 #undef RC_BESSEL
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1383
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1384 static inline FloatComplex
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1385 cbesj (const FloatComplex& z, float alpha, int kode, octave_idx_type& ierr);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1386
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1387 static inline FloatComplex
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1388 cbesy (const FloatComplex& z, float alpha, int kode, octave_idx_type& ierr);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1389
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1390 static inline FloatComplex
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1391 cbesi (const FloatComplex& z, float alpha, int kode, octave_idx_type& ierr);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1392
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1393 static inline FloatComplex
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1394 cbesk (const FloatComplex& z, float alpha, int kode, octave_idx_type& ierr);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1395
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1396 static inline FloatComplex
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1397 cbesh1 (const FloatComplex& z, float alpha, int kode, octave_idx_type& ierr);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1398
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1399 static inline FloatComplex
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1400 cbesh2 (const FloatComplex& z, float alpha, int kode, octave_idx_type& ierr);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1401
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1402 static inline FloatComplex
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1403 bessel_return_value (const FloatComplex& val, octave_idx_type ierr)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1404 {
17769 49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/ Rik <rik@octave.org> parents: 17744 diff changeset	1405 static const FloatComplex inf_val = FloatComplex (octave_Float_Inf,
49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/ Rik <rik@octave.org> parents: 17744 diff changeset	1406 octave_Float_Inf);
49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/ Rik <rik@octave.org> parents: 17744 diff changeset	1407 static const FloatComplex nan_val = FloatComplex (octave_Float_NaN,
49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/ Rik <rik@octave.org> parents: 17744 diff changeset	1408 octave_Float_NaN);
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1409
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1410 FloatComplex retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1411
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1412 switch (ierr)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1413 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1414 case 0:
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1415 case 3:
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1416 retval = val;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1417 break;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1418
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1419 case 2:
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1420 retval = inf_val;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1421 break;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1422
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1423 default:
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1424 retval = nan_val;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1425 break;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1426 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1427
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1428 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1429 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1430
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1431 static inline bool
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1432 is_integer_value (float x)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1433 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1434 return x == static_cast<float> (static_cast<long> (x));
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1435 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1436
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1437 static inline FloatComplex
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1438 cbesj (const FloatComplex& z, float alpha, int kode, octave_idx_type& ierr)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1439 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1440 FloatComplex retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1441
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1442 if (alpha >= 0.0)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1443 {
8279 b3734f1cb592 lo-specfun.cc: fix prototypes and calls to cbes{h,i,j,k,y} subroutines John W. Eaton <jwe@octave.org> parents: 8278 diff changeset	1444 FloatComplex y = 0.0;
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1445
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1446 octave_idx_type nz;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1447
8279 b3734f1cb592 lo-specfun.cc: fix prototypes and calls to cbes{h,i,j,k,y} subroutines John W. Eaton <jwe@octave.org> parents: 8278 diff changeset	1448 F77_FUNC (cbesj, CBESJ) (z, alpha, 2, 1, &y, nz, ierr);
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1449
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1450 if (kode != 2)
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1451 {
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1452 float expz = exp (std::abs (imag (z)));
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1453 y *= expz;
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1454 }
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1455
8279 b3734f1cb592 lo-specfun.cc: fix prototypes and calls to cbes{h,i,j,k,y} subroutines John W. Eaton <jwe@octave.org> parents: 8278 diff changeset	1456 if (imag (z) == 0.0 && real (z) >= 0.0)
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1457 y = FloatComplex (y.real (), 0.0);
8279 b3734f1cb592 lo-specfun.cc: fix prototypes and calls to cbes{h,i,j,k,y} subroutines John W. Eaton <jwe@octave.org> parents: 8278 diff changeset	1458
b3734f1cb592 lo-specfun.cc: fix prototypes and calls to cbes{h,i,j,k,y} subroutines John W. Eaton <jwe@octave.org> parents: 8278 diff changeset	1459 retval = bessel_return_value (y, ierr);
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1460 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1461 else if (is_integer_value (alpha))
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1462 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1463 // zbesy can overflow as z->0, and cause troubles for generic case below
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1464 alpha = -alpha;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1465 FloatComplex tmp = cbesj (z, alpha, kode, ierr);
19739 3fa35defe495 Adjust spacing of static_cast<> calls to follow Octave coding conventions. Rik <rik@octave.org> parents: 19697 diff changeset	1466 if ((static_cast<long> (alpha)) & 1)
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1467 tmp = - tmp;
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1468 retval = bessel_return_value (tmp, ierr);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1469 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1470 else
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1471 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1472 alpha = -alpha;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1473
17769 49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/ Rik <rik@octave.org> parents: 17744 diff changeset	1474 FloatComplex tmp = cosf (static_cast<float> (M_PI) * alpha)
49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/ Rik <rik@octave.org> parents: 17744 diff changeset	1475 * cbesj (z, alpha, kode, ierr);
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1476
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1477 if (ierr == 0 \|\| ierr == 3)
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1478 {
17769 49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/ Rik <rik@octave.org> parents: 17744 diff changeset	1479 tmp -= sinf (static_cast<float> (M_PI) * alpha)
49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/ Rik <rik@octave.org> parents: 17744 diff changeset	1480 * cbesy (z, alpha, kode, ierr);
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1481
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1482 retval = bessel_return_value (tmp, ierr);
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1483 }
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1484 else
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1485 retval = FloatComplex (octave_Float_NaN, octave_Float_NaN);
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1486 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1487
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1488 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1489 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1490
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1491 static inline FloatComplex
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1492 cbesy (const FloatComplex& z, float alpha, int kode, octave_idx_type& ierr)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1493 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1494 FloatComplex retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1495
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1496 if (alpha >= 0.0)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1497 {
8279 b3734f1cb592 lo-specfun.cc: fix prototypes and calls to cbes{h,i,j,k,y} subroutines John W. Eaton <jwe@octave.org> parents: 8278 diff changeset	1498 FloatComplex y = 0.0;
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1499
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1500 octave_idx_type nz;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1501
8279 b3734f1cb592 lo-specfun.cc: fix prototypes and calls to cbes{h,i,j,k,y} subroutines John W. Eaton <jwe@octave.org> parents: 8278 diff changeset	1502 FloatComplex w;
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1503
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1504 ierr = 0;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1505
8279 b3734f1cb592 lo-specfun.cc: fix prototypes and calls to cbes{h,i,j,k,y} subroutines John W. Eaton <jwe@octave.org> parents: 8278 diff changeset	1506 if (real (z) == 0.0 && imag (z) == 0.0)
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1507 {
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1508 y = FloatComplex (-octave_Float_Inf, 0.0);
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1509 }
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1510 else
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1511 {
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1512 F77_FUNC (cbesy, CBESY) (z, alpha, 2, 1, &y, nz, &w, ierr);
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1513
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1514 if (kode != 2)
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1515 {
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1516 float expz = exp (std::abs (imag (z)));
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1517 y *= expz;
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1518 }
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1519
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1520 if (imag (z) == 0.0 && real (z) >= 0.0)
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1521 y = FloatComplex (y.real (), 0.0);
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1522 }
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1523
8279 b3734f1cb592 lo-specfun.cc: fix prototypes and calls to cbes{h,i,j,k,y} subroutines John W. Eaton <jwe@octave.org> parents: 8278 diff changeset	1524 return bessel_return_value (y, ierr);
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1525 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1526 else if (is_integer_value (alpha - 0.5))
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1527 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1528 // zbesy can overflow as z->0, and cause troubles for generic case below
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1529 alpha = -alpha;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1530 FloatComplex tmp = cbesj (z, alpha, kode, ierr);
19739 3fa35defe495 Adjust spacing of static_cast<> calls to follow Octave coding conventions. Rik <rik@octave.org> parents: 19697 diff changeset	1531 if ((static_cast<long> (alpha - 0.5)) & 1)
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1532 tmp = - tmp;
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1533 retval = bessel_return_value (tmp, ierr);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1534 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1535 else
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1536 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1537 alpha = -alpha;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1538
17769 49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/ Rik <rik@octave.org> parents: 17744 diff changeset	1539 FloatComplex tmp = cosf (static_cast<float> (M_PI) * alpha)
49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/ Rik <rik@octave.org> parents: 17744 diff changeset	1540 * cbesy (z, alpha, kode, ierr);
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1541
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1542 if (ierr == 0 \|\| ierr == 3)
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1543 {
17769 49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/ Rik <rik@octave.org> parents: 17744 diff changeset	1544 tmp += sinf (static_cast<float> (M_PI) * alpha)
49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/ Rik <rik@octave.org> parents: 17744 diff changeset	1545 * cbesj (z, alpha, kode, ierr);
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1546
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1547 retval = bessel_return_value (tmp, ierr);
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1548 }
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1549 else
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1550 retval = FloatComplex (octave_Float_NaN, octave_Float_NaN);
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1551 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1552
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1553 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1554 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1555
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1556 static inline FloatComplex
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1557 cbesi (const FloatComplex& z, float alpha, int kode, octave_idx_type& ierr)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1558 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1559 FloatComplex retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1560
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1561 if (alpha >= 0.0)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1562 {
8279 b3734f1cb592 lo-specfun.cc: fix prototypes and calls to cbes{h,i,j,k,y} subroutines John W. Eaton <jwe@octave.org> parents: 8278 diff changeset	1563 FloatComplex y = 0.0;
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1564
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1565 octave_idx_type nz;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1566
8279 b3734f1cb592 lo-specfun.cc: fix prototypes and calls to cbes{h,i,j,k,y} subroutines John W. Eaton <jwe@octave.org> parents: 8278 diff changeset	1567 F77_FUNC (cbesi, CBESI) (z, alpha, 2, 1, &y, nz, ierr);
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1568
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1569 if (kode != 2)
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1570 {
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1571 float expz = exp (std::abs (real (z)));
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1572 y *= expz;
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1573 }
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1574
8279 b3734f1cb592 lo-specfun.cc: fix prototypes and calls to cbes{h,i,j,k,y} subroutines John W. Eaton <jwe@octave.org> parents: 8278 diff changeset	1575 if (imag (z) == 0.0 && real (z) >= 0.0)
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1576 y = FloatComplex (y.real (), 0.0);
8279 b3734f1cb592 lo-specfun.cc: fix prototypes and calls to cbes{h,i,j,k,y} subroutines John W. Eaton <jwe@octave.org> parents: 8278 diff changeset	1577
b3734f1cb592 lo-specfun.cc: fix prototypes and calls to cbes{h,i,j,k,y} subroutines John W. Eaton <jwe@octave.org> parents: 8278 diff changeset	1578 retval = bessel_return_value (y, ierr);
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1579 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1580 else
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1581 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1582 alpha = -alpha;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1583
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1584 FloatComplex tmp = cbesi (z, alpha, kode, ierr);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1585
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1586 if (ierr == 0 \|\| ierr == 3)
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1587 {
17769 49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/ Rik <rik@octave.org> parents: 17744 diff changeset	1588 FloatComplex tmp2 = static_cast<float> (2.0 / M_PI)
49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/ Rik <rik@octave.org> parents: 17744 diff changeset	1589 * sinf (static_cast<float> (M_PI) * alpha)
49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/ Rik <rik@octave.org> parents: 17744 diff changeset	1590 * cbesk (z, alpha, kode, ierr);
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11574 diff changeset	1591
12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11574 diff changeset	1592 if (kode == 2)
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1593 {
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1594 // Compensate for different scaling factor of besk.
15018 3d8ace26c5b4 maint: Use Octave coding conventions for cuddled parentheses in liboctave/. Rik <rik@octave.org> parents: 14847 diff changeset	1595 tmp2 *= exp (-z - std::abs (z.real ()));
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1596 }
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1597
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1598 tmp += tmp2;
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1599
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1600 retval = bessel_return_value (tmp, ierr);
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1601 }
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1602 else
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1603 retval = FloatComplex (octave_Float_NaN, octave_Float_NaN);
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1604 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1605
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1606 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1607 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1608
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1609 static inline FloatComplex
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1610 cbesk (const FloatComplex& z, float alpha, int kode, octave_idx_type& ierr)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1611 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1612 FloatComplex retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1613
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1614 if (alpha >= 0.0)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1615 {
8279 b3734f1cb592 lo-specfun.cc: fix prototypes and calls to cbes{h,i,j,k,y} subroutines John W. Eaton <jwe@octave.org> parents: 8278 diff changeset	1616 FloatComplex y = 0.0;
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1617
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1618 octave_idx_type nz;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1619
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1620 ierr = 0;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1621
8279 b3734f1cb592 lo-specfun.cc: fix prototypes and calls to cbes{h,i,j,k,y} subroutines John W. Eaton <jwe@octave.org> parents: 8278 diff changeset	1622 if (real (z) == 0.0 && imag (z) == 0.0)
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1623 {
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1624 y = FloatComplex (octave_Float_Inf, 0.0);
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1625 }
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1626 else
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1627 {
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1628 F77_FUNC (cbesk, CBESK) (z, alpha, 2, 1, &y, nz, ierr);
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1629
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1630 if (kode != 2)
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1631 {
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1632 FloatComplex expz = exp (-z);
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1633
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1634 float rexpz = real (expz);
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1635 float iexpz = imag (expz);
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1636
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1637 float tmp_r = real (y) * rexpz - imag (y) * iexpz;
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1638 float tmp_i = real (y) * iexpz + imag (y) * rexpz;
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1639
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1640 y = FloatComplex (tmp_r, tmp_i);
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1641 }
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1642
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1643 if (imag (z) == 0.0 && real (z) >= 0.0)
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1644 y = FloatComplex (y.real (), 0.0);
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1645 }
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1646
8279 b3734f1cb592 lo-specfun.cc: fix prototypes and calls to cbes{h,i,j,k,y} subroutines John W. Eaton <jwe@octave.org> parents: 8278 diff changeset	1647 retval = bessel_return_value (y, ierr);
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1648 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1649 else
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1650 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1651 FloatComplex tmp = cbesk (z, -alpha, kode, ierr);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1652
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1653 retval = bessel_return_value (tmp, ierr);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1654 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1655
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1656 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1657 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1658
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1659 static inline FloatComplex
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1660 cbesh1 (const FloatComplex& z, float alpha, int kode, octave_idx_type& ierr)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1661 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1662 FloatComplex retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1663
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1664 if (alpha >= 0.0)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1665 {
8279 b3734f1cb592 lo-specfun.cc: fix prototypes and calls to cbes{h,i,j,k,y} subroutines John W. Eaton <jwe@octave.org> parents: 8278 diff changeset	1666 FloatComplex y = 0.0;
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1667
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1668 octave_idx_type nz;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1669
8279 b3734f1cb592 lo-specfun.cc: fix prototypes and calls to cbes{h,i,j,k,y} subroutines John W. Eaton <jwe@octave.org> parents: 8278 diff changeset	1670 F77_FUNC (cbesh, CBESH) (z, alpha, 2, 1, 1, &y, nz, ierr);
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1671
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1672 if (kode != 2)
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1673 {
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1674 FloatComplex expz = exp (FloatComplex (0.0, 1.0) * z);
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1675
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1676 float rexpz = real (expz);
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1677 float iexpz = imag (expz);
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1678
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1679 float tmp_r = real (y) * rexpz - imag (y) * iexpz;
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1680 float tmp_i = real (y) * iexpz + imag (y) * rexpz;
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1681
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1682 y = FloatComplex (tmp_r, tmp_i);
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1683 }
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1684
8279 b3734f1cb592 lo-specfun.cc: fix prototypes and calls to cbes{h,i,j,k,y} subroutines John W. Eaton <jwe@octave.org> parents: 8278 diff changeset	1685 retval = bessel_return_value (y, ierr);
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1686 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1687 else
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1688 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1689 alpha = -alpha;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1690
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1691 static const FloatComplex eye = FloatComplex (0.0, 1.0);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1692
17769 49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/ Rik <rik@octave.org> parents: 17744 diff changeset	1693 FloatComplex tmp = exp (static_cast<float> (M_PI) * alpha * eye)
49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/ Rik <rik@octave.org> parents: 17744 diff changeset	1694 * cbesh1 (z, alpha, kode, ierr);
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1695
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1696 retval = bessel_return_value (tmp, ierr);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1697 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1698
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1699 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1700 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1701
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1702 static inline FloatComplex
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1703 cbesh2 (const FloatComplex& z, float alpha, int kode, octave_idx_type& ierr)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1704 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1705 FloatComplex retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1706
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1707 if (alpha >= 0.0)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1708 {
8279 b3734f1cb592 lo-specfun.cc: fix prototypes and calls to cbes{h,i,j,k,y} subroutines John W. Eaton <jwe@octave.org> parents: 8278 diff changeset	1709 FloatComplex y = 0.0;
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1710
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1711 octave_idx_type nz;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1712
8279 b3734f1cb592 lo-specfun.cc: fix prototypes and calls to cbes{h,i,j,k,y} subroutines John W. Eaton <jwe@octave.org> parents: 8278 diff changeset	1713 F77_FUNC (cbesh, CBESH) (z, alpha, 2, 2, 1, &y, nz, ierr);
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1714
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1715 if (kode != 2)
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1716 {
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1717 FloatComplex expz = exp (-FloatComplex (0.0, 1.0) * z);
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1718
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1719 float rexpz = real (expz);
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1720 float iexpz = imag (expz);
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1721
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1722 float tmp_r = real (y) * rexpz - imag (y) * iexpz;
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1723 float tmp_i = real (y) * iexpz + imag (y) * rexpz;
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1724
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1725 y = FloatComplex (tmp_r, tmp_i);
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1726 }
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1727
8279 b3734f1cb592 lo-specfun.cc: fix prototypes and calls to cbes{h,i,j,k,y} subroutines John W. Eaton <jwe@octave.org> parents: 8278 diff changeset	1728 retval = bessel_return_value (y, ierr);
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1729 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1730 else
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1731 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1732 alpha = -alpha;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1733
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1734 static const FloatComplex eye = FloatComplex (0.0, 1.0);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1735
17769 49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/ Rik <rik@octave.org> parents: 17744 diff changeset	1736 FloatComplex tmp = exp (-static_cast<float> (M_PI) * alpha * eye)
49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/ Rik <rik@octave.org> parents: 17744 diff changeset	1737 * cbesh2 (z, alpha, kode, ierr);
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1738
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1739 retval = bessel_return_value (tmp, ierr);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1740 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1741
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1742 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1743 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1744
17769 49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/ Rik <rik@octave.org> parents: 17744 diff changeset	1745 typedef FloatComplex (*fptr) (const FloatComplex&, float, int,
49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/ Rik <rik@octave.org> parents: 17744 diff changeset	1746 octave_idx_type&);
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1747
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1748 static inline FloatComplex
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1749 do_bessel (fptr f, const char *, float alpha, const FloatComplex& x,
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1750 bool scaled, octave_idx_type& ierr)
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1751 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1752 FloatComplex retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1753
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1754 retval = f (x, alpha, (scaled ? 2 : 1), ierr);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1755
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1756 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1757 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1758
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1759 static inline FloatComplexMatrix
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1760 do_bessel (fptr f, const char *, float alpha, const FloatComplexMatrix& x,
10352 a3635bc1ea19 remove Array2 Jaroslav Hajek <highegg@gmail.com> parents: 10314 diff changeset	1761 bool scaled, Array<octave_idx_type>& ierr)
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1762 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1763 octave_idx_type nr = x.rows ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1764 octave_idx_type nc = x.cols ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1765
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1766 FloatComplexMatrix retval (nr, nc);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1767
11574 a83bad07f7e3 attempt better backward compatibility for Array resize functions John W. Eaton <jwe@octave.org> parents: 11523 diff changeset	1768 ierr.resize (dim_vector (nr, nc));
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1769
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1770 for (octave_idx_type j = 0; j < nc; j++)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1771 for (octave_idx_type i = 0; i < nr; i++)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1772 retval(i,j) = f (x(i,j), alpha, (scaled ? 2 : 1), ierr(i,j));
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1773
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1774 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1775 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1776
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1777 static inline FloatComplexMatrix
17769 49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/ Rik <rik@octave.org> parents: 17744 diff changeset	1778 do_bessel (fptr f, const char *, const FloatMatrix& alpha,
49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/ Rik <rik@octave.org> parents: 17744 diff changeset	1779 const FloatComplex& x,
10352 a3635bc1ea19 remove Array2 Jaroslav Hajek <highegg@gmail.com> parents: 10314 diff changeset	1780 bool scaled, Array<octave_idx_type>& ierr)
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1781 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1782 octave_idx_type nr = alpha.rows ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1783 octave_idx_type nc = alpha.cols ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1784
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1785 FloatComplexMatrix retval (nr, nc);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1786
11574 a83bad07f7e3 attempt better backward compatibility for Array resize functions John W. Eaton <jwe@octave.org> parents: 11523 diff changeset	1787 ierr.resize (dim_vector (nr, nc));
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1788
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1789 for (octave_idx_type j = 0; j < nc; j++)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1790 for (octave_idx_type i = 0; i < nr; i++)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1791 retval(i,j) = f (x, alpha(i,j), (scaled ? 2 : 1), ierr(i,j));
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1792
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1793 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1794 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1795
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1796 static inline FloatComplexMatrix
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1797 do_bessel (fptr f, const char *fn, const FloatMatrix& alpha,
17769 49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/ Rik <rik@octave.org> parents: 17744 diff changeset	1798 const FloatComplexMatrix& x, bool scaled,
49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/ Rik <rik@octave.org> parents: 17744 diff changeset	1799 Array<octave_idx_type>& ierr)
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1800 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1801 FloatComplexMatrix retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1802
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1803 octave_idx_type x_nr = x.rows ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1804 octave_idx_type x_nc = x.cols ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1805
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1806 octave_idx_type alpha_nr = alpha.rows ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1807 octave_idx_type alpha_nc = alpha.cols ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1808
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1809 if (x_nr == alpha_nr && x_nc == alpha_nc)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1810 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1811 octave_idx_type nr = x_nr;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1812 octave_idx_type nc = x_nc;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1813
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1814 retval.resize (nr, nc);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1815
11574 a83bad07f7e3 attempt better backward compatibility for Array resize functions John W. Eaton <jwe@octave.org> parents: 11523 diff changeset	1816 ierr.resize (dim_vector (nr, nc));
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1817
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1818 for (octave_idx_type j = 0; j < nc; j++)
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1819 for (octave_idx_type i = 0; i < nr; i++)
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1820 retval(i,j) = f (x(i,j), alpha(i,j), (scaled ? 2 : 1), ierr(i,j));
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1821 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1822 else
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1823 (*current_liboctave_error_handler)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1824 ("%s: the sizes of alpha and x must conform", fn);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1825
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1826 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1827 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1828
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1829 static inline FloatComplexNDArray
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1830 do_bessel (fptr f, const char *, float alpha, const FloatComplexNDArray& x,
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1831 bool scaled, Array<octave_idx_type>& ierr)
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1832 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1833 dim_vector dv = x.dims ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1834 octave_idx_type nel = dv.numel ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1835 FloatComplexNDArray retval (dv);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1836
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1837 ierr.resize (dv);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1838
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1839 for (octave_idx_type i = 0; i < nel; i++)
17769 49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/ Rik <rik@octave.org> parents: 17744 diff changeset	1840 retval(i) = f (x(i), alpha, (scaled ? 2 : 1), ierr(i));
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1841
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1842 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1843 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1844
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1845 static inline FloatComplexNDArray
17769 49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/ Rik <rik@octave.org> parents: 17744 diff changeset	1846 do_bessel (fptr f, const char *, const FloatNDArray& alpha,
49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/ Rik <rik@octave.org> parents: 17744 diff changeset	1847 const FloatComplex& x, bool scaled, Array<octave_idx_type>& ierr)
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1848 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1849 dim_vector dv = alpha.dims ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1850 octave_idx_type nel = dv.numel ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1851 FloatComplexNDArray retval (dv);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1852
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1853 ierr.resize (dv);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1854
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1855 for (octave_idx_type i = 0; i < nel; i++)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1856 retval(i) = f (x, alpha(i), (scaled ? 2 : 1), ierr(i));
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1857
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1858 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1859 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1860
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1861 static inline FloatComplexNDArray
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1862 do_bessel (fptr f, const char *fn, const FloatNDArray& alpha,
17769 49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/ Rik <rik@octave.org> parents: 17744 diff changeset	1863 const FloatComplexNDArray& x, bool scaled,
49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/ Rik <rik@octave.org> parents: 17744 diff changeset	1864 Array<octave_idx_type>& ierr)
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1865 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1866 dim_vector dv = x.dims ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1867 FloatComplexNDArray retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1868
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1869 if (dv == alpha.dims ())
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1870 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1871 octave_idx_type nel = dv.numel ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1872
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1873 retval.resize (dv);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1874 ierr.resize (dv);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1875
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1876 for (octave_idx_type i = 0; i < nel; i++)
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1877 retval(i) = f (x(i), alpha(i), (scaled ? 2 : 1), ierr(i));
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1878 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1879 else
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1880 (*current_liboctave_error_handler)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1881 ("%s: the sizes of alpha and x must conform", fn);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1882
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1883 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1884 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1885
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1886 static inline FloatComplexMatrix
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1887 do_bessel (fptr f, const char *, const FloatRowVector& alpha,
17769 49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/ Rik <rik@octave.org> parents: 17744 diff changeset	1888 const FloatComplexColumnVector& x, bool scaled,
49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/ Rik <rik@octave.org> parents: 17744 diff changeset	1889 Array<octave_idx_type>& ierr)
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1890 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1891 octave_idx_type nr = x.length ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1892 octave_idx_type nc = alpha.length ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1893
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1894 FloatComplexMatrix retval (nr, nc);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1895
11574 a83bad07f7e3 attempt better backward compatibility for Array resize functions John W. Eaton <jwe@octave.org> parents: 11523 diff changeset	1896 ierr.resize (dim_vector (nr, nc));
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1897
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1898 for (octave_idx_type j = 0; j < nc; j++)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1899 for (octave_idx_type i = 0; i < nr; i++)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1900 retval(i,j) = f (x(i), alpha(j), (scaled ? 2 : 1), ierr(i,j));
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1901
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1902 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1903 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1904
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1905 #define SS_BESSEL(name, fcn) \
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1906 FloatComplex \
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1907 name (float alpha, const FloatComplex& x, bool scaled, octave_idx_type& ierr) \
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1908 { \
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1909 return do_bessel (fcn, #name, alpha, x, scaled, ierr); \
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1910 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1911
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1912 #define SM_BESSEL(name, fcn) \
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1913 FloatComplexMatrix \
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1914 name (float alpha, const FloatComplexMatrix& x, bool scaled, \
10352 a3635bc1ea19 remove Array2 Jaroslav Hajek <highegg@gmail.com> parents: 10314 diff changeset	1915 Array<octave_idx_type>& ierr) \
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1916 { \
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1917 return do_bessel (fcn, #name, alpha, x, scaled, ierr); \
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1918 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1919
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1920 #define MS_BESSEL(name, fcn) \
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1921 FloatComplexMatrix \
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1922 name (const FloatMatrix& alpha, const FloatComplex& x, bool scaled, \
10352 a3635bc1ea19 remove Array2 Jaroslav Hajek <highegg@gmail.com> parents: 10314 diff changeset	1923 Array<octave_idx_type>& ierr) \
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1924 { \
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1925 return do_bessel (fcn, #name, alpha, x, scaled, ierr); \
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1926 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1927
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1928 #define MM_BESSEL(name, fcn) \
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1929 FloatComplexMatrix \
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1930 name (const FloatMatrix& alpha, const FloatComplexMatrix& x, bool scaled, \
10352 a3635bc1ea19 remove Array2 Jaroslav Hajek <highegg@gmail.com> parents: 10314 diff changeset	1931 Array<octave_idx_type>& ierr) \
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1932 { \
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1933 return do_bessel (fcn, #name, alpha, x, scaled, ierr); \
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1934 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1935
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1936 #define SN_BESSEL(name, fcn) \
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1937 FloatComplexNDArray \
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1938 name (float alpha, const FloatComplexNDArray& x, bool scaled, \
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1939 Array<octave_idx_type>& ierr) \
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1940 { \
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1941 return do_bessel (fcn, #name, alpha, x, scaled, ierr); \
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1942 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1943
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1944 #define NS_BESSEL(name, fcn) \
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1945 FloatComplexNDArray \
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1946 name (const FloatNDArray& alpha, const FloatComplex& x, bool scaled, \
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1947 Array<octave_idx_type>& ierr) \
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1948 { \
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1949 return do_bessel (fcn, #name, alpha, x, scaled, ierr); \
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1950 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1951
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1952 #define NN_BESSEL(name, fcn) \
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1953 FloatComplexNDArray \
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1954 name (const FloatNDArray& alpha, const FloatComplexNDArray& x, bool scaled, \
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1955 Array<octave_idx_type>& ierr) \
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1956 { \
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1957 return do_bessel (fcn, #name, alpha, x, scaled, ierr); \
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1958 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1959
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1960 #define RC_BESSEL(name, fcn) \
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1961 FloatComplexMatrix \
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1962 name (const FloatRowVector& alpha, const FloatComplexColumnVector& x, bool scaled, \
10352 a3635bc1ea19 remove Array2 Jaroslav Hajek <highegg@gmail.com> parents: 10314 diff changeset	1963 Array<octave_idx_type>& ierr) \
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1964 { \
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1965 return do_bessel (fcn, #name, alpha, x, scaled, ierr); \
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1966 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1967
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1968 #define ALL_BESSEL(name, fcn) \
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1969 SS_BESSEL (name, fcn) \
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1970 SM_BESSEL (name, fcn) \
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1971 MS_BESSEL (name, fcn) \
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1972 MM_BESSEL (name, fcn) \
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1973 SN_BESSEL (name, fcn) \
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1974 NS_BESSEL (name, fcn) \
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1975 NN_BESSEL (name, fcn) \
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1976 RC_BESSEL (name, fcn)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1977
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1978 ALL_BESSEL (besselj, cbesj)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1979 ALL_BESSEL (bessely, cbesy)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1980 ALL_BESSEL (besseli, cbesi)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1981 ALL_BESSEL (besselk, cbesk)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1982 ALL_BESSEL (besselh1, cbesh1)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1983 ALL_BESSEL (besselh2, cbesh2)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1984
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1985 #undef ALL_BESSEL
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1986 #undef SS_BESSEL
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1987 #undef SM_BESSEL
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1988 #undef MS_BESSEL
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1989 #undef MM_BESSEL
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1990 #undef SN_BESSEL
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1991 #undef NS_BESSEL
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1992 #undef NN_BESSEL
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1993 #undef RC_BESSEL
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1994
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1995 Complex
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	1996 airy (const Complex& z, bool deriv, bool scaled, octave_idx_type& ierr)
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	1997 {
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1998 double ar = 0.0;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1999 double ai = 0.0;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	2000
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	2001 octave_idx_type nz;
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	2002
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	2003 double zr = z.real ();
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	2004 double zi = z.imag ();
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2005
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	2006 octave_idx_type id = deriv ? 1 : 0;
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	2007
4506 3c82fc8f822c [project @ 2003-09-10 13:56:57 by jwe] jwe parents: 4497 diff changeset	2008 F77_FUNC (zairy, ZAIRY) (zr, zi, id, 2, ar, ai, nz, ierr);
3c82fc8f822c [project @ 2003-09-10 13:56:57 by jwe] jwe parents: 4497 diff changeset	2009
3c82fc8f822c [project @ 2003-09-10 13:56:57 by jwe] jwe parents: 4497 diff changeset	2010 if (! scaled)
3c82fc8f822c [project @ 2003-09-10 13:56:57 by jwe] jwe parents: 4497 diff changeset	2011 {
15018 3d8ace26c5b4 maint: Use Octave coding conventions for cuddled parentheses in liboctave/. Rik <rik@octave.org> parents: 14847 diff changeset	2012 Complex expz = exp (- 2.0 / 3.0 * z * sqrt (z));
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	2013
4506 3c82fc8f822c [project @ 2003-09-10 13:56:57 by jwe] jwe parents: 4497 diff changeset	2014 double rexpz = real (expz);
3c82fc8f822c [project @ 2003-09-10 13:56:57 by jwe] jwe parents: 4497 diff changeset	2015 double iexpz = imag (expz);
3c82fc8f822c [project @ 2003-09-10 13:56:57 by jwe] jwe parents: 4497 diff changeset	2016
3c82fc8f822c [project @ 2003-09-10 13:56:57 by jwe] jwe parents: 4497 diff changeset	2017 double tmp = arrexpz - aiiexpz;
3c82fc8f822c [project @ 2003-09-10 13:56:57 by jwe] jwe parents: 4497 diff changeset	2018
3c82fc8f822c [project @ 2003-09-10 13:56:57 by jwe] jwe parents: 4497 diff changeset	2019 ai = ariexpz + airexpz;
3c82fc8f822c [project @ 2003-09-10 13:56:57 by jwe] jwe parents: 4497 diff changeset	2020 ar = tmp;
3c82fc8f822c [project @ 2003-09-10 13:56:57 by jwe] jwe parents: 4497 diff changeset	2021 }
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	2022
4490 1aed172ab84a [project @ 2003-08-28 19:03:06 by jwe] jwe parents: 4180 diff changeset	2023 if (zi == 0.0 && (! scaled \|\| zr >= 0.0))
3225 7aae2c3636a7 [project @ 1998-12-04 23:20:12 by jwe] jwe parents: 3220 diff changeset	2024 ai = 0.0;
7aae2c3636a7 [project @ 1998-12-04 23:20:12 by jwe] jwe parents: 3220 diff changeset	2025
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	2026 return bessel_return_value (Complex (ar, ai), ierr);
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2027 }
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2028
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	2029 Complex
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	2030 biry (const Complex& z, bool deriv, bool scaled, octave_idx_type& ierr)
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2031 {
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	2032 double ar = 0.0;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	2033 double ai = 0.0;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	2034
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	2035 double zr = z.real ();
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	2036 double zi = z.imag ();
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	2037
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	2038 octave_idx_type id = deriv ? 1 : 0;
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	2039
4506 3c82fc8f822c [project @ 2003-09-10 13:56:57 by jwe] jwe parents: 4497 diff changeset	2040 F77_FUNC (zbiry, ZBIRY) (zr, zi, id, 2, ar, ai, ierr);
3c82fc8f822c [project @ 2003-09-10 13:56:57 by jwe] jwe parents: 4497 diff changeset	2041
3c82fc8f822c [project @ 2003-09-10 13:56:57 by jwe] jwe parents: 4497 diff changeset	2042 if (! scaled)
3c82fc8f822c [project @ 2003-09-10 13:56:57 by jwe] jwe parents: 4497 diff changeset	2043 {
3c82fc8f822c [project @ 2003-09-10 13:56:57 by jwe] jwe parents: 4497 diff changeset	2044 Complex expz = exp (std::abs (real (2.0 / 3.0 * z * sqrt (z))));
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	2045
4506 3c82fc8f822c [project @ 2003-09-10 13:56:57 by jwe] jwe parents: 4497 diff changeset	2046 double rexpz = real (expz);
3c82fc8f822c [project @ 2003-09-10 13:56:57 by jwe] jwe parents: 4497 diff changeset	2047 double iexpz = imag (expz);
3c82fc8f822c [project @ 2003-09-10 13:56:57 by jwe] jwe parents: 4497 diff changeset	2048
3c82fc8f822c [project @ 2003-09-10 13:56:57 by jwe] jwe parents: 4497 diff changeset	2049 double tmp = arrexpz - aiiexpz;
3c82fc8f822c [project @ 2003-09-10 13:56:57 by jwe] jwe parents: 4497 diff changeset	2050
3c82fc8f822c [project @ 2003-09-10 13:56:57 by jwe] jwe parents: 4497 diff changeset	2051 ai = ariexpz + airexpz;
3c82fc8f822c [project @ 2003-09-10 13:56:57 by jwe] jwe parents: 4497 diff changeset	2052 ar = tmp;
3c82fc8f822c [project @ 2003-09-10 13:56:57 by jwe] jwe parents: 4497 diff changeset	2053 }
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	2054
4490 1aed172ab84a [project @ 2003-08-28 19:03:06 by jwe] jwe parents: 4180 diff changeset	2055 if (zi == 0.0 && (! scaled \|\| zr >= 0.0))
3225 7aae2c3636a7 [project @ 1998-12-04 23:20:12 by jwe] jwe parents: 3220 diff changeset	2056 ai = 0.0;
7aae2c3636a7 [project @ 1998-12-04 23:20:12 by jwe] jwe parents: 3220 diff changeset	2057
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	2058 return bessel_return_value (Complex (ar, ai), ierr);
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2059 }
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2060
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	2061 ComplexMatrix
17769 49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/ Rik <rik@octave.org> parents: 17744 diff changeset	2062 airy (const ComplexMatrix& z, bool deriv, bool scaled,
49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/ Rik <rik@octave.org> parents: 17744 diff changeset	2063 Array<octave_idx_type>& ierr)
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2064 {
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	2065 octave_idx_type nr = z.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	2066 octave_idx_type nc = z.cols ();
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	2067
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	2068 ComplexMatrix retval (nr, nc);
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	2069
11574 a83bad07f7e3 attempt better backward compatibility for Array resize functions John W. Eaton <jwe@octave.org> parents: 11523 diff changeset	2070 ierr.resize (dim_vector (nr, nc));
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	2071
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	2072 for (octave_idx_type j = 0; j < nc; j++)
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	2073 for (octave_idx_type i = 0; i < nr; i++)
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	2074 retval(i,j) = airy (z(i,j), deriv, scaled, ierr(i,j));
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	2075
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	2076 return retval;
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2077 }
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2078
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	2079 ComplexMatrix
17769 49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/ Rik <rik@octave.org> parents: 17744 diff changeset	2080 biry (const ComplexMatrix& z, bool deriv, bool scaled,
49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/ Rik <rik@octave.org> parents: 17744 diff changeset	2081 Array<octave_idx_type>& ierr)
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2082 {
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	2083 octave_idx_type nr = z.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	2084 octave_idx_type nc = z.cols ();
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	2085
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	2086 ComplexMatrix retval (nr, nc);
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	2087
11574 a83bad07f7e3 attempt better backward compatibility for Array resize functions John W. Eaton <jwe@octave.org> parents: 11523 diff changeset	2088 ierr.resize (dim_vector (nr, nc));
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	2089
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	2090 for (octave_idx_type j = 0; j < nc; j++)
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	2091 for (octave_idx_type i = 0; i < nr; i++)
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	2092 retval(i,j) = biry (z(i,j), deriv, scaled, ierr(i,j));
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	2093
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	2094 return retval;
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2095 }
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2096
4844 9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2097 ComplexNDArray
17769 49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/ Rik <rik@octave.org> parents: 17744 diff changeset	2098 airy (const ComplexNDArray& z, bool deriv, bool scaled,
49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/ Rik <rik@octave.org> parents: 17744 diff changeset	2099 Array<octave_idx_type>& ierr)
4844 9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2100 {
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2101 dim_vector dv = z.dims ();
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	2102 octave_idx_type nel = dv.numel ();
4844 9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2103 ComplexNDArray retval (dv);
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2104
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2105 ierr.resize (dv);
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2106
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	2107 for (octave_idx_type i = 0; i < nel; i++)
14844 5bc9b9cb4362 maint: Use Octave coding conventions for cuddled parenthesis in retval assignments. Rik <octave@nomad.inbox5.com> parents: 14817 diff changeset	2108 retval(i) = airy (z(i), deriv, scaled, ierr(i));
4844 9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2109
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2110 return retval;
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2111 }
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2112
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2113 ComplexNDArray
17769 49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/ Rik <rik@octave.org> parents: 17744 diff changeset	2114 biry (const ComplexNDArray& z, bool deriv, bool scaled,
49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/ Rik <rik@octave.org> parents: 17744 diff changeset	2115 Array<octave_idx_type>& ierr)
4844 9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2116 {
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2117 dim_vector dv = z.dims ();
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	2118 octave_idx_type nel = dv.numel ();
4844 9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2119 ComplexNDArray retval (dv);
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2120
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2121 ierr.resize (dv);
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2122
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	2123 for (octave_idx_type i = 0; i < nel; i++)
14844 5bc9b9cb4362 maint: Use Octave coding conventions for cuddled parenthesis in retval assignments. Rik <octave@nomad.inbox5.com> parents: 14817 diff changeset	2124 retval(i) = biry (z(i), deriv, scaled, ierr(i));
4844 9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2125
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2126 return retval;
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2127 }
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2128
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2129 FloatComplex
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2130 airy (const FloatComplex& z, bool deriv, bool scaled, octave_idx_type& ierr)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2131 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2132 float ar = 0.0;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2133 float ai = 0.0;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2134
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2135 octave_idx_type nz;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2136
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2137 float zr = z.real ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2138 float zi = z.imag ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2139
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2140 octave_idx_type id = deriv ? 1 : 0;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2141
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2142 F77_FUNC (cairy, CAIRY) (zr, zi, id, 2, ar, ai, nz, ierr);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2143
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2144 if (! scaled)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2145 {
19739 3fa35defe495 Adjust spacing of static_cast<> calls to follow Octave coding conventions. Rik <rik@octave.org> parents: 19697 diff changeset	2146 FloatComplex expz = exp (- 2.0f / 3.0f * z * sqrt (z));
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2147
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2148 float rexpz = real (expz);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2149 float iexpz = imag (expz);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2150
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2151 float tmp = arrexpz - aiiexpz;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2152
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2153 ai = ariexpz + airexpz;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2154 ar = tmp;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2155 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2156
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2157 if (zi == 0.0 && (! scaled \|\| zr >= 0.0))
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2158 ai = 0.0;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2159
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2160 return bessel_return_value (FloatComplex (ar, ai), ierr);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2161 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2162
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2163 FloatComplex
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2164 biry (const FloatComplex& z, bool deriv, bool scaled, octave_idx_type& ierr)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2165 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2166 float ar = 0.0;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2167 float ai = 0.0;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2168
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2169 float zr = z.real ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2170 float zi = z.imag ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2171
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2172 octave_idx_type id = deriv ? 1 : 0;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2173
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2174 F77_FUNC (cbiry, CBIRY) (zr, zi, id, 2, ar, ai, ierr);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2175
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2176 if (! scaled)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2177 {
19739 3fa35defe495 Adjust spacing of static_cast<> calls to follow Octave coding conventions. Rik <rik@octave.org> parents: 19697 diff changeset	2178 FloatComplex expz = exp (std::abs (real (2.0f / 3.0f * z * sqrt (z))));
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2179
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2180 float rexpz = real (expz);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2181 float iexpz = imag (expz);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2182
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2183 float tmp = arrexpz - aiiexpz;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2184
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2185 ai = ariexpz + airexpz;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2186 ar = tmp;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2187 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2188
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2189 if (zi == 0.0 && (! scaled \|\| zr >= 0.0))
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2190 ai = 0.0;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2191
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2192 return bessel_return_value (FloatComplex (ar, ai), ierr);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2193 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2194
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2195 FloatComplexMatrix
17769 49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/ Rik <rik@octave.org> parents: 17744 diff changeset	2196 airy (const FloatComplexMatrix& z, bool deriv, bool scaled,
49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/ Rik <rik@octave.org> parents: 17744 diff changeset	2197 Array<octave_idx_type>& ierr)
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2198 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2199 octave_idx_type nr = z.rows ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2200 octave_idx_type nc = z.cols ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2201
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2202 FloatComplexMatrix retval (nr, nc);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2203
11574 a83bad07f7e3 attempt better backward compatibility for Array resize functions John W. Eaton <jwe@octave.org> parents: 11523 diff changeset	2204 ierr.resize (dim_vector (nr, nc));
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2205
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2206 for (octave_idx_type j = 0; j < nc; j++)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2207 for (octave_idx_type i = 0; i < nr; i++)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2208 retval(i,j) = airy (z(i,j), deriv, scaled, ierr(i,j));
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2209
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2210 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2211 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2212
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2213 FloatComplexMatrix
17769 49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/ Rik <rik@octave.org> parents: 17744 diff changeset	2214 biry (const FloatComplexMatrix& z, bool deriv, bool scaled,
49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/ Rik <rik@octave.org> parents: 17744 diff changeset	2215 Array<octave_idx_type>& ierr)
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2216 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2217 octave_idx_type nr = z.rows ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2218 octave_idx_type nc = z.cols ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2219
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2220 FloatComplexMatrix retval (nr, nc);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2221
11574 a83bad07f7e3 attempt better backward compatibility for Array resize functions John W. Eaton <jwe@octave.org> parents: 11523 diff changeset	2222 ierr.resize (dim_vector (nr, nc));
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2223
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2224 for (octave_idx_type j = 0; j < nc; j++)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2225 for (octave_idx_type i = 0; i < nr; i++)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2226 retval(i,j) = biry (z(i,j), deriv, scaled, ierr(i,j));
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2227
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2228 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2229 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2230
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2231 FloatComplexNDArray
17769 49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/ Rik <rik@octave.org> parents: 17744 diff changeset	2232 airy (const FloatComplexNDArray& z, bool deriv, bool scaled,
49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/ Rik <rik@octave.org> parents: 17744 diff changeset	2233 Array<octave_idx_type>& ierr)
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2234 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2235 dim_vector dv = z.dims ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2236 octave_idx_type nel = dv.numel ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2237 FloatComplexNDArray retval (dv);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2238
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2239 ierr.resize (dv);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2240
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2241 for (octave_idx_type i = 0; i < nel; i++)
14844 5bc9b9cb4362 maint: Use Octave coding conventions for cuddled parenthesis in retval assignments. Rik <octave@nomad.inbox5.com> parents: 14817 diff changeset	2242 retval(i) = airy (z(i), deriv, scaled, ierr(i));
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2243
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2244 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2245 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2246
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2247 FloatComplexNDArray
17769 49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/ Rik <rik@octave.org> parents: 17744 diff changeset	2248 biry (const FloatComplexNDArray& z, bool deriv, bool scaled,
49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/ Rik <rik@octave.org> parents: 17744 diff changeset	2249 Array<octave_idx_type>& ierr)
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2250 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2251 dim_vector dv = z.dims ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2252 octave_idx_type nel = dv.numel ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2253 FloatComplexNDArray retval (dv);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2254
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2255 ierr.resize (dv);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2256
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2257 for (octave_idx_type i = 0; i < nel; i++)
14844 5bc9b9cb4362 maint: Use Octave coding conventions for cuddled parenthesis in retval assignments. Rik <octave@nomad.inbox5.com> parents: 14817 diff changeset	2258 retval(i) = biry (z(i), deriv, scaled, ierr(i));
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2259
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2260 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2261 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2262
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2263 static void
4844 9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2264 gripe_betainc_nonconformant (const dim_vector& d1, const dim_vector& d2,
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2265 const dim_vector& d3)
4844 9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2266 {
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2267 std::string d1_str = d1.str ();
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2268 std::string d2_str = d2.str ();
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2269 std::string d3_str = d3.str ();
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2270
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2271 (*current_liboctave_error_handler)
17769 49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/ Rik <rik@octave.org> parents: 17744 diff changeset	2272 ("betainc: nonconformant arguments (x is %s, a is %s, b is %s)",
49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/ Rik <rik@octave.org> parents: 17744 diff changeset	2273 d1_str.c_str (), d2_str.c_str (), d3_str.c_str ());
4844 9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2274 }
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2275
14816 0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	2276 static void
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	2277 gripe_betaincinv_nonconformant (const dim_vector& d1, const dim_vector& d2,
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	2278 const dim_vector& d3)
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	2279 {
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	2280 std::string d1_str = d1.str ();
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	2281 std::string d2_str = d2.str ();
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	2282 std::string d3_str = d3.str ();
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	2283
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	2284 (*current_liboctave_error_handler)
17769 49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/ Rik <rik@octave.org> parents: 17744 diff changeset	2285 ("betaincinv: nonconformant arguments (x is %s, a is %s, b is %s)",
49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/ Rik <rik@octave.org> parents: 17744 diff changeset	2286 d1_str.c_str (), d2_str.c_str (), d3_str.c_str ());
14816 0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	2287 }
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	2288
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2289 double
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2290 betainc (double x, double a, double b)
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2291 {
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2292 double retval;
5700 67118c88cee7 [project @ 2006-03-21 17:31:45 by jwe] jwe parents: 5307 diff changeset	2293 F77_XFCN (xdbetai, XDBETAI, (x, a, b, retval));
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2294 return retval;
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2295 }
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2296
14815 95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2297 Array<double>
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2298 betainc (double x, double a, const Array<double>& b)
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2299 {
14815 95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2300 dim_vector dv = b.dims ();
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2301 octave_idx_type nel = dv.numel ();
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2302
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2303 Array<double> retval (dv);
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2304
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2305 double *pretval = retval.fortran_vec ();
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2306
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2307 for (octave_idx_type i = 0; i < nel; i++)
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2308 *pretval++ = betainc (x, a, b(i));
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2309
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2310 return retval;
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2311 }
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2312
14815 95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2313 Array<double>
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2314 betainc (double x, const Array<double>& a, double b)
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2315 {
14815 95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2316 dim_vector dv = a.dims ();
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2317 octave_idx_type nel = dv.numel ();
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2318
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2319 Array<double> retval (dv);
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2320
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2321 double *pretval = retval.fortran_vec ();
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2322
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2323 for (octave_idx_type i = 0; i < nel; i++)
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2324 *pretval++ = betainc (x, a(i), b);
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2325
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2326 return retval;
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2327 }
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2328
14815 95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2329 Array<double>
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2330 betainc (double x, const Array<double>& a, const Array<double>& b)
4844 9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2331 {
14815 95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2332 Array<double> retval;
4844 9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2333 dim_vector dv = a.dims ();
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2334
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2335 if (dv == b.dims ())
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2336 {
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2337 octave_idx_type nel = dv.numel ();
4844 9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2338
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2339 retval.resize (dv);
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2340
14815 95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2341 double *pretval = retval.fortran_vec ();
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2342
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2343 for (octave_idx_type i = 0; i < nel; i++)
14815 95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2344 *pretval++ = betainc (x, a(i), b(i));
4844 9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2345 }
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2346 else
10258 e317791645c4 64-bit fixes John W. Eaton <jwe@octave.org> parents: 10158 diff changeset	2347 gripe_betainc_nonconformant (dim_vector (0, 0), dv, b.dims ());
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11574 diff changeset	2348
4844 9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2349 return retval;
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2350 }
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2351
14815 95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2352 Array<double>
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2353 betainc (const Array<double>& x, double a, double b)
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2354 {
14815 95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2355 dim_vector dv = x.dims ();
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2356 octave_idx_type nel = dv.numel ();
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2357
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2358 Array<double> retval (dv);
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2359
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2360 double *pretval = retval.fortran_vec ();
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2361
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2362 for (octave_idx_type i = 0; i < nel; i++)
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2363 *pretval++ = betainc (x(i), a, b);
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2364
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2365 return retval;
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2366 }
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2367
14815 95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2368 Array<double>
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2369 betainc (const Array<double>& x, double a, const Array<double>& b)
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2370 {
14815 95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2371 Array<double> retval;
4844 9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2372 dim_vector dv = x.dims ();
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2373
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2374 if (dv == b.dims ())
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2375 {
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2376 octave_idx_type nel = dv.numel ();
4844 9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2377
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2378 retval.resize (dv);
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2379
14815 95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2380 double *pretval = retval.fortran_vec ();
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2381
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2382 for (octave_idx_type i = 0; i < nel; i++)
14815 95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2383 *pretval++ = betainc (x(i), a, b(i));
4844 9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2384 }
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2385 else
10258 e317791645c4 64-bit fixes John W. Eaton <jwe@octave.org> parents: 10158 diff changeset	2386 gripe_betainc_nonconformant (dv, dim_vector (0, 0), b.dims ());
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11574 diff changeset	2387
4844 9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2388 return retval;
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2389 }
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2390
14815 95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2391 Array<double>
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2392 betainc (const Array<double>& x, const Array<double>& a, double b)
4844 9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2393 {
14815 95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2394 Array<double> retval;
4844 9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2395 dim_vector dv = x.dims ();
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2396
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2397 if (dv == a.dims ())
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2398 {
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2399 octave_idx_type nel = dv.numel ();
4844 9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2400
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2401 retval.resize (dv);
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2402
14815 95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2403 double *pretval = retval.fortran_vec ();
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2404
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2405 for (octave_idx_type i = 0; i < nel; i++)
14815 95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2406 *pretval++ = betainc (x(i), a(i), b);
4844 9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2407 }
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2408 else
10258 e317791645c4 64-bit fixes John W. Eaton <jwe@octave.org> parents: 10158 diff changeset	2409 gripe_betainc_nonconformant (dv, a.dims (), dim_vector (0, 0));
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11574 diff changeset	2410
4844 9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2411 return retval;
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2412 }
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2413
14815 95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2414 Array<double>
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2415 betainc (const Array<double>& x, const Array<double>& a, const Array<double>& b)
4844 9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2416 {
14815 95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2417 Array<double> retval;
4844 9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2418 dim_vector dv = x.dims ();
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2419
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2420 if (dv == a.dims () && dv == b.dims ())
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2421 {
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2422 octave_idx_type nel = dv.numel ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2423
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2424 retval.resize (dv);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2425
14815 95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2426 double *pretval = retval.fortran_vec ();
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2427
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2428 for (octave_idx_type i = 0; i < nel; i++)
14815 95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2429 *pretval++ = betainc (x(i), a(i), b(i));
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2430 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2431 else
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2432 gripe_betainc_nonconformant (dv, a.dims (), b.dims ());
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2433
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2434 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2435 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2436
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2437 float
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2438 betainc (float x, float a, float b)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2439 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2440 float retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2441 F77_XFCN (xbetai, XBETAI, (x, a, b, retval));
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2442 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2443 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2444
14815 95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2445 Array<float>
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2446 betainc (float x, float a, const Array<float>& b)
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2447 {
14815 95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2448 dim_vector dv = b.dims ();
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2449 octave_idx_type nel = dv.numel ();
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2450
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2451 Array<float> retval (dv);
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2452
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2453 float *pretval = retval.fortran_vec ();
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2454
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2455 for (octave_idx_type i = 0; i < nel; i++)
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2456 *pretval++ = betainc (x, a, b(i));
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2457
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2458 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2459 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2460
14815 95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2461 Array<float>
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2462 betainc (float x, const Array<float>& a, float b)
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2463 {
14815 95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2464 dim_vector dv = a.dims ();
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2465 octave_idx_type nel = dv.numel ();
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2466
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2467 Array<float> retval (dv);
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2468
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2469 float *pretval = retval.fortran_vec ();
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2470
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2471 for (octave_idx_type i = 0; i < nel; i++)
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2472 *pretval++ = betainc (x, a(i), b);
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2473
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2474 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2475 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2476
14815 95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2477 Array<float>
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2478 betainc (float x, const Array<float>& a, const Array<float>& b)
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2479 {
14815 95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2480 Array<float> retval;
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2481 dim_vector dv = a.dims ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2482
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2483 if (dv == b.dims ())
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2484 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2485 octave_idx_type nel = dv.numel ();
4844 9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2486
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2487 retval.resize (dv);
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2488
14815 95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2489 float *pretval = retval.fortran_vec ();
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2490
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2491 for (octave_idx_type i = 0; i < nel; i++)
14815 95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2492 *pretval++ = betainc (x, a(i), b(i));
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2493 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2494 else
10258 e317791645c4 64-bit fixes John W. Eaton <jwe@octave.org> parents: 10158 diff changeset	2495 gripe_betainc_nonconformant (dim_vector (0, 0), dv, b.dims ());
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11574 diff changeset	2496
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2497 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2498 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2499
14815 95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2500 Array<float>
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2501 betainc (const Array<float>& x, float a, float b)
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2502 {
14815 95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2503 dim_vector dv = x.dims ();
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2504 octave_idx_type nel = dv.numel ();
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2505
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2506 Array<float> retval (dv);
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2507
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2508 float *pretval = retval.fortran_vec ();
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2509
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2510 for (octave_idx_type i = 0; i < nel; i++)
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2511 *pretval++ = betainc (x(i), a, b);
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2512
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2513 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2514 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2515
14815 95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2516 Array<float>
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2517 betainc (const Array<float>& x, float a, const Array<float>& b)
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2518 {
14815 95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2519 Array<float> retval;
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2520 dim_vector dv = x.dims ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2521
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2522 if (dv == b.dims ())
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2523 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2524 octave_idx_type nel = dv.numel ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2525
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2526 retval.resize (dv);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2527
14815 95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2528 float *pretval = retval.fortran_vec ();
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2529
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2530 for (octave_idx_type i = 0; i < nel; i++)
14815 95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2531 *pretval++ = betainc (x(i), a, b(i));
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2532 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2533 else
10258 e317791645c4 64-bit fixes John W. Eaton <jwe@octave.org> parents: 10158 diff changeset	2534 gripe_betainc_nonconformant (dv, dim_vector (0, 0), b.dims ());
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11574 diff changeset	2535
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2536 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2537 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2538
14815 95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2539 Array<float>
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2540 betainc (const Array<float>& x, const Array<float>& a, float b)
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2541 {
14815 95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2542 Array<float> retval;
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2543 dim_vector dv = x.dims ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2544
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2545 if (dv == a.dims ())
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2546 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2547 octave_idx_type nel = dv.numel ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2548
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2549 retval.resize (dv);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2550
14815 95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2551 float *pretval = retval.fortran_vec ();
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2552
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2553 for (octave_idx_type i = 0; i < nel; i++)
14815 95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2554 *pretval++ = betainc (x(i), a(i), b);
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2555 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2556 else
10258 e317791645c4 64-bit fixes John W. Eaton <jwe@octave.org> parents: 10158 diff changeset	2557 gripe_betainc_nonconformant (dv, a.dims (), dim_vector (0, 0));
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11574 diff changeset	2558
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2559 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2560 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2561
14815 95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2562 Array<float>
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2563 betainc (const Array<float>& x, const Array<float>& a, const Array<float>& b)
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2564 {
14815 95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2565 Array<float> retval;
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2566 dim_vector dv = x.dims ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2567
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2568 if (dv == a.dims () && dv == b.dims ())
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2569 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2570 octave_idx_type nel = dv.numel ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2571
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2572 retval.resize (dv);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2573
14815 95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2574 float *pretval = retval.fortran_vec ();
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2575
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2576 for (octave_idx_type i = 0; i < nel; i++)
14815 95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2577 *pretval++ = betainc (x(i), a(i), b(i));
4844 9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2578 }
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2579 else
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2580 gripe_betainc_nonconformant (dv, a.dims (), b.dims ());
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2581
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2582 return retval;
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2583 }
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2584
17769 49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/ Rik <rik@octave.org> parents: 17744 diff changeset	2585 // FIXME: there is still room for improvement here...
3164 45490c020e47 [project @ 1998-04-14 20:56:48 by jwe] jwe parents: 3162 diff changeset	2586
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2587 double
4004 ca854fb51a88 [project @ 2002-07-25 06:31:33 by jwe] jwe parents: 3887 diff changeset	2588 gammainc (double x, double a, bool& err)
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2589 {
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2590 double retval;
3164 45490c020e47 [project @ 1998-04-14 20:56:48 by jwe] jwe parents: 3162 diff changeset	2591
4004 ca854fb51a88 [project @ 2002-07-25 06:31:33 by jwe] jwe parents: 3887 diff changeset	2592 err = false;
3164 45490c020e47 [project @ 1998-04-14 20:56:48 by jwe] jwe parents: 3162 diff changeset	2593
4004 ca854fb51a88 [project @ 2002-07-25 06:31:33 by jwe] jwe parents: 3887 diff changeset	2594 if (a < 0.0 \|\| x < 0.0)
18676 5bd1ca29c5f0 Clean up questionable code bits identified by clang sanitize. Rik <rik@octave.org> parents: 18084 diff changeset	2595 (*current_liboctave_error_handler)
5bd1ca29c5f0 Clean up questionable code bits identified by clang sanitize. Rik <rik@octave.org> parents: 18084 diff changeset	2596 ("gammainc: A and X must be non-negative");
4004 ca854fb51a88 [project @ 2002-07-25 06:31:33 by jwe] jwe parents: 3887 diff changeset	2597 else
5278 fe23ec6763b7 [project @ 2005-04-12 21:04:39 by jwe] jwe parents: 5275 diff changeset	2598 F77_XFCN (xgammainc, XGAMMAINC, (a, x, retval));
3164 45490c020e47 [project @ 1998-04-14 20:56:48 by jwe] jwe parents: 3162 diff changeset	2599
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2600 return retval;
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2601 }
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2602
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2603 Matrix
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2604 gammainc (double x, const Matrix& a)
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2605 {
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	2606 octave_idx_type nr = a.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	2607 octave_idx_type nc = a.cols ();
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2608
4004 ca854fb51a88 [project @ 2002-07-25 06:31:33 by jwe] jwe parents: 3887 diff changeset	2609 Matrix result (nr, nc);
ca854fb51a88 [project @ 2002-07-25 06:31:33 by jwe] jwe parents: 3887 diff changeset	2610 Matrix retval;
ca854fb51a88 [project @ 2002-07-25 06:31:33 by jwe] jwe parents: 3887 diff changeset	2611
ca854fb51a88 [project @ 2002-07-25 06:31:33 by jwe] jwe parents: 3887 diff changeset	2612 bool err;
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2613
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	2614 for (octave_idx_type j = 0; j < nc; j++)
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	2615 for (octave_idx_type i = 0; i < nr; i++)
4004 ca854fb51a88 [project @ 2002-07-25 06:31:33 by jwe] jwe parents: 3887 diff changeset	2616 {
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2617 result(i,j) = gammainc (x, a(i,j), err);
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2618
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2619 if (err)
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2620 goto done;
4004 ca854fb51a88 [project @ 2002-07-25 06:31:33 by jwe] jwe parents: 3887 diff changeset	2621 }
ca854fb51a88 [project @ 2002-07-25 06:31:33 by jwe] jwe parents: 3887 diff changeset	2622
ca854fb51a88 [project @ 2002-07-25 06:31:33 by jwe] jwe parents: 3887 diff changeset	2623 retval = result;
ca854fb51a88 [project @ 2002-07-25 06:31:33 by jwe] jwe parents: 3887 diff changeset	2624
17769 49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/ Rik <rik@octave.org> parents: 17744 diff changeset	2625 done:
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2626
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2627 return retval;
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2628 }
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2629
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2630 Matrix
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2631 gammainc (const Matrix& x, double a)
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2632 {
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	2633 octave_idx_type nr = x.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	2634 octave_idx_type nc = x.cols ();
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2635
4004 ca854fb51a88 [project @ 2002-07-25 06:31:33 by jwe] jwe parents: 3887 diff changeset	2636 Matrix result (nr, nc);
ca854fb51a88 [project @ 2002-07-25 06:31:33 by jwe] jwe parents: 3887 diff changeset	2637 Matrix retval;
ca854fb51a88 [project @ 2002-07-25 06:31:33 by jwe] jwe parents: 3887 diff changeset	2638
ca854fb51a88 [project @ 2002-07-25 06:31:33 by jwe] jwe parents: 3887 diff changeset	2639 bool err;
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2640
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	2641 for (octave_idx_type j = 0; j < nc; j++)
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	2642 for (octave_idx_type i = 0; i < nr; i++)
4004 ca854fb51a88 [project @ 2002-07-25 06:31:33 by jwe] jwe parents: 3887 diff changeset	2643 {
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2644 result(i,j) = gammainc (x(i,j), a, err);
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2645
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2646 if (err)
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2647 goto done;
4004 ca854fb51a88 [project @ 2002-07-25 06:31:33 by jwe] jwe parents: 3887 diff changeset	2648 }
ca854fb51a88 [project @ 2002-07-25 06:31:33 by jwe] jwe parents: 3887 diff changeset	2649
ca854fb51a88 [project @ 2002-07-25 06:31:33 by jwe] jwe parents: 3887 diff changeset	2650 retval = result;
ca854fb51a88 [project @ 2002-07-25 06:31:33 by jwe] jwe parents: 3887 diff changeset	2651
17769 49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/ Rik <rik@octave.org> parents: 17744 diff changeset	2652 done:
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2653
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2654 return retval;
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2655 }
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2656
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2657 Matrix
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2658 gammainc (const Matrix& x, const Matrix& a)
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2659 {
4004 ca854fb51a88 [project @ 2002-07-25 06:31:33 by jwe] jwe parents: 3887 diff changeset	2660 Matrix result;
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2661 Matrix retval;
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2662
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	2663 octave_idx_type nr = x.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	2664 octave_idx_type nc = x.cols ();
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2665
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	2666 octave_idx_type a_nr = a.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	2667 octave_idx_type a_nc = a.cols ();
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2668
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2669 if (nr == a_nr && nc == a_nc)
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2670 {
4004 ca854fb51a88 [project @ 2002-07-25 06:31:33 by jwe] jwe parents: 3887 diff changeset	2671 result.resize (nr, nc);
ca854fb51a88 [project @ 2002-07-25 06:31:33 by jwe] jwe parents: 3887 diff changeset	2672
ca854fb51a88 [project @ 2002-07-25 06:31:33 by jwe] jwe parents: 3887 diff changeset	2673 bool err;
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2674
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	2675 for (octave_idx_type j = 0; j < nc; j++)
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2676 for (octave_idx_type i = 0; i < nr; i++)
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2677 {
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2678 result(i,j) = gammainc (x(i,j), a(i,j), err);
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2679
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2680 if (err)
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2681 goto done;
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2682 }
4004 ca854fb51a88 [project @ 2002-07-25 06:31:33 by jwe] jwe parents: 3887 diff changeset	2683
ca854fb51a88 [project @ 2002-07-25 06:31:33 by jwe] jwe parents: 3887 diff changeset	2684 retval = result;
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2685 }
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2686 else
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2687 (*current_liboctave_error_handler)
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2688 ("gammainc: nonconformant arguments (arg 1 is %dx%d, arg 2 is %dx%d)",
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2689 nr, nc, a_nr, a_nc);
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2690
17769 49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/ Rik <rik@octave.org> parents: 17744 diff changeset	2691 done:
4004 ca854fb51a88 [project @ 2002-07-25 06:31:33 by jwe] jwe parents: 3887 diff changeset	2692
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2693 return retval;
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2694 }
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2695
4844 9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2696 NDArray
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2697 gammainc (double x, const NDArray& a)
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2698 {
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2699 dim_vector dv = a.dims ();
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2700 octave_idx_type nel = dv.numel ();
4844 9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2701
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2702 NDArray retval;
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2703 NDArray result (dv);
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2704
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2705 bool err;
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2706
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2707 for (octave_idx_type i = 0; i < nel; i++)
4844 9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2708 {
18084 8e056300994b Follow coding convention of defining and initializing only 1 variable per line in liboctave. Rik <rik@octave.org> parents: 17769 diff changeset	2709 result(i) = gammainc (x, a(i), err);
4844 9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2710
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2711 if (err)
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2712 goto done;
4844 9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2713 }
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2714
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2715 retval = result;
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2716
17769 49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/ Rik <rik@octave.org> parents: 17744 diff changeset	2717 done:
4844 9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2718
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2719 return retval;
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2720 }
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2721
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2722 NDArray
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2723 gammainc (const NDArray& x, double a)
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2724 {
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2725 dim_vector dv = x.dims ();
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2726 octave_idx_type nel = dv.numel ();
4844 9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2727
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2728 NDArray retval;
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2729 NDArray result (dv);
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2730
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2731 bool err;
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2732
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2733 for (octave_idx_type i = 0; i < nel; i++)
4844 9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2734 {
18084 8e056300994b Follow coding convention of defining and initializing only 1 variable per line in liboctave. Rik <rik@octave.org> parents: 17769 diff changeset	2735 result(i) = gammainc (x(i), a, err);
4844 9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2736
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2737 if (err)
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2738 goto done;
4844 9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2739 }
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2740
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2741 retval = result;
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2742
17769 49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/ Rik <rik@octave.org> parents: 17744 diff changeset	2743 done:
4844 9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2744
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2745 return retval;
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2746 }
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2747
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2748 NDArray
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2749 gammainc (const NDArray& x, const NDArray& a)
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2750 {
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2751 dim_vector dv = x.dims ();
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2752 octave_idx_type nel = dv.numel ();
4844 9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2753
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2754 NDArray retval;
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2755 NDArray result;
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2756
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2757 if (dv == a.dims ())
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2758 {
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2759 result.resize (dv);
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2760
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2761 bool err;
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2762
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2763 for (octave_idx_type i = 0; i < nel; i++)
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2764 {
18084 8e056300994b Follow coding convention of defining and initializing only 1 variable per line in liboctave. Rik <rik@octave.org> parents: 17769 diff changeset	2765 result(i) = gammainc (x(i), a(i), err);
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11574 diff changeset	2766
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2767 if (err)
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2768 goto done;
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2769 }
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2770
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2771 retval = result;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2772 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2773 else
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2774 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2775 std::string x_str = dv.str ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2776 std::string a_str = a.dims ().str ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2777
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2778 (*current_liboctave_error_handler)
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2779 ("gammainc: nonconformant arguments (arg 1 is %s, arg 2 is %s)",
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2780 x_str.c_str (), a_str. c_str ());
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2781 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2782
17769 49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/ Rik <rik@octave.org> parents: 17744 diff changeset	2783 done:
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2784
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2785 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2786 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2787
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2788 float
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2789 gammainc (float x, float a, bool& err)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2790 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2791 float retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2792
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2793 err = false;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2794
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2795 if (a < 0.0 \|\| x < 0.0)
18676 5bd1ca29c5f0 Clean up questionable code bits identified by clang sanitize. Rik <rik@octave.org> parents: 18084 diff changeset	2796 (*current_liboctave_error_handler)
5bd1ca29c5f0 Clean up questionable code bits identified by clang sanitize. Rik <rik@octave.org> parents: 18084 diff changeset	2797 ("gammainc: A and X must be non-negative");
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2798 else
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2799 F77_XFCN (xsgammainc, XSGAMMAINC, (a, x, retval));
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2800
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2801 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2802 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2803
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2804 FloatMatrix
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2805 gammainc (float x, const FloatMatrix& a)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2806 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2807 octave_idx_type nr = a.rows ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2808 octave_idx_type nc = a.cols ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2809
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2810 FloatMatrix result (nr, nc);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2811 FloatMatrix retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2812
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2813 bool err;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2814
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2815 for (octave_idx_type j = 0; j < nc; j++)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2816 for (octave_idx_type i = 0; i < nr; i++)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2817 {
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2818 result(i,j) = gammainc (x, a(i,j), err);
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2819
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2820 if (err)
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2821 goto done;
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2822 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2823
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2824 retval = result;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2825
17769 49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/ Rik <rik@octave.org> parents: 17744 diff changeset	2826 done:
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2827
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2828 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2829 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2830
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2831 FloatMatrix
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2832 gammainc (const FloatMatrix& x, float a)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2833 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2834 octave_idx_type nr = x.rows ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2835 octave_idx_type nc = x.cols ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2836
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2837 FloatMatrix result (nr, nc);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2838 FloatMatrix retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2839
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2840 bool err;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2841
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2842 for (octave_idx_type j = 0; j < nc; j++)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2843 for (octave_idx_type i = 0; i < nr; i++)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2844 {
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2845 result(i,j) = gammainc (x(i,j), a, err);
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2846
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2847 if (err)
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2848 goto done;
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2849 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2850
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2851 retval = result;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2852
17769 49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/ Rik <rik@octave.org> parents: 17744 diff changeset	2853 done:
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2854
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2855 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2856 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2857
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2858 FloatMatrix
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2859 gammainc (const FloatMatrix& x, const FloatMatrix& a)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2860 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2861 FloatMatrix result;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2862 FloatMatrix retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2863
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2864 octave_idx_type nr = x.rows ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2865 octave_idx_type nc = x.cols ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2866
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2867 octave_idx_type a_nr = a.rows ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2868 octave_idx_type a_nc = a.cols ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2869
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2870 if (nr == a_nr && nc == a_nc)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2871 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2872 result.resize (nr, nc);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2873
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2874 bool err;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2875
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2876 for (octave_idx_type j = 0; j < nc; j++)
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2877 for (octave_idx_type i = 0; i < nr; i++)
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2878 {
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2879 result(i,j) = gammainc (x(i,j), a(i,j), err);
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2880
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2881 if (err)
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2882 goto done;
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2883 }
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2884
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2885 retval = result;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2886 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2887 else
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2888 (*current_liboctave_error_handler)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2889 ("gammainc: nonconformant arguments (arg 1 is %dx%d, arg 2 is %dx%d)",
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2890 nr, nc, a_nr, a_nc);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2891
17769 49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/ Rik <rik@octave.org> parents: 17744 diff changeset	2892 done:
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2893
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2894 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2895 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2896
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2897 FloatNDArray
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2898 gammainc (float x, const FloatNDArray& a)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2899 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2900 dim_vector dv = a.dims ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2901 octave_idx_type nel = dv.numel ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2902
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2903 FloatNDArray retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2904 FloatNDArray result (dv);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2905
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2906 bool err;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2907
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2908 for (octave_idx_type i = 0; i < nel; i++)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2909 {
18084 8e056300994b Follow coding convention of defining and initializing only 1 variable per line in liboctave. Rik <rik@octave.org> parents: 17769 diff changeset	2910 result(i) = gammainc (x, a(i), err);
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2911
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2912 if (err)
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2913 goto done;
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2914 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2915
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2916 retval = result;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2917
17769 49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/ Rik <rik@octave.org> parents: 17744 diff changeset	2918 done:
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2919
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2920 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2921 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2922
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2923 FloatNDArray
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2924 gammainc (const FloatNDArray& x, float a)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2925 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2926 dim_vector dv = x.dims ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2927 octave_idx_type nel = dv.numel ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2928
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2929 FloatNDArray retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2930 FloatNDArray result (dv);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2931
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2932 bool err;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2933
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2934 for (octave_idx_type i = 0; i < nel; i++)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2935 {
18084 8e056300994b Follow coding convention of defining and initializing only 1 variable per line in liboctave. Rik <rik@octave.org> parents: 17769 diff changeset	2936 result(i) = gammainc (x(i), a, err);
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2937
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2938 if (err)
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2939 goto done;
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2940 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2941
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2942 retval = result;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2943
17769 49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/ Rik <rik@octave.org> parents: 17744 diff changeset	2944 done:
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2945
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2946 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2947 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2948
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2949 FloatNDArray
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2950 gammainc (const FloatNDArray& x, const FloatNDArray& a)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2951 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2952 dim_vector dv = x.dims ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2953 octave_idx_type nel = dv.numel ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2954
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2955 FloatNDArray retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2956 FloatNDArray result;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2957
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2958 if (dv == a.dims ())
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2959 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2960 result.resize (dv);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2961
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2962 bool err;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2963
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2964 for (octave_idx_type i = 0; i < nel; i++)
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2965 {
18084 8e056300994b Follow coding convention of defining and initializing only 1 variable per line in liboctave. Rik <rik@octave.org> parents: 17769 diff changeset	2966 result(i) = gammainc (x(i), a(i), err);
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11574 diff changeset	2967
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2968 if (err)
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2969 goto done;
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2970 }
4844 9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2971
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2972 retval = result;
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2973 }
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2974 else
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2975 {
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2976 std::string x_str = dv.str ();
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2977 std::string a_str = a.dims ().str ();
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2978
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2979 (*current_liboctave_error_handler)
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2980 ("gammainc: nonconformant arguments (arg 1 is %s, arg 2 is %s)",
14816 0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	2981 x_str.c_str (), a_str.c_str ());
4844 9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2982 }
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2983
17769 49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/ Rik <rik@octave.org> parents: 17744 diff changeset	2984 done:
4844 9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2985
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2986 return retval;
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2987 }
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2988
9812 f80c566bc751 improve unary mapper system Jaroslav Hajek <highegg@gmail.com> parents: 9732 diff changeset	2989
f80c566bc751 improve unary mapper system Jaroslav Hajek <highegg@gmail.com> parents: 9732 diff changeset	2990 Complex rc_log1p (double x)
f80c566bc751 improve unary mapper system Jaroslav Hajek <highegg@gmail.com> parents: 9732 diff changeset	2991 {
f80c566bc751 improve unary mapper system Jaroslav Hajek <highegg@gmail.com> parents: 9732 diff changeset	2992 const double pi = 3.14159265358979323846;
19375 264ff6bf7475 use gnulib:: namespace for log, logf, localtime, and gmtime John W. Eaton <jwe@octave.org> parents: 19358 diff changeset	2993 return (x < -1.0
264ff6bf7475 use gnulib:: namespace for log, logf, localtime, and gmtime John W. Eaton <jwe@octave.org> parents: 19358 diff changeset	2994 ? Complex (gnulib::log (-(1.0 + x)), pi)
264ff6bf7475 use gnulib:: namespace for log, logf, localtime, and gmtime John W. Eaton <jwe@octave.org> parents: 19358 diff changeset	2995 : Complex (log1p (x)));
9812 f80c566bc751 improve unary mapper system Jaroslav Hajek <highegg@gmail.com> parents: 9732 diff changeset	2996 }
f80c566bc751 improve unary mapper system Jaroslav Hajek <highegg@gmail.com> parents: 9732 diff changeset	2997
f80c566bc751 improve unary mapper system Jaroslav Hajek <highegg@gmail.com> parents: 9732 diff changeset	2998 FloatComplex rc_log1p (float x)
f80c566bc751 improve unary mapper system Jaroslav Hajek <highegg@gmail.com> parents: 9732 diff changeset	2999 {
f80c566bc751 improve unary mapper system Jaroslav Hajek <highegg@gmail.com> parents: 9732 diff changeset	3000 const float pi = 3.14159265358979323846f;
19375 264ff6bf7475 use gnulib:: namespace for log, logf, localtime, and gmtime John W. Eaton <jwe@octave.org> parents: 19358 diff changeset	3001 return (x < -1.0f
264ff6bf7475 use gnulib:: namespace for log, logf, localtime, and gmtime John W. Eaton <jwe@octave.org> parents: 19358 diff changeset	3002 ? FloatComplex (gnulib::logf (-(1.0f + x)), pi)
264ff6bf7475 use gnulib:: namespace for log, logf, localtime, and gmtime John W. Eaton <jwe@octave.org> parents: 19358 diff changeset	3003 : FloatComplex (log1pf (x)));
9812 f80c566bc751 improve unary mapper system Jaroslav Hajek <highegg@gmail.com> parents: 9732 diff changeset	3004 }
f80c566bc751 improve unary mapper system Jaroslav Hajek <highegg@gmail.com> parents: 9732 diff changeset	3005
9838 55219e65c7cd fix typo Jaroslav Hajek <highegg@gmail.com> parents: 9837 diff changeset	3006 // This algorithm is due to P. J. Acklam.
9837 7c70084b125e improve comment for 9835 Jaroslav Hajek <highegg@gmail.com> parents: 9835 diff changeset	3007 // See http://home.online.no/~pjacklam/notes/invnorm/
7c70084b125e improve comment for 9835 Jaroslav Hajek <highegg@gmail.com> parents: 9835 diff changeset	3008 // The rational approximation has relative accuracy 1.15e-9 in the whole region.
14781 e190f6da40f6 maint: Correct comments and use Octave spacing conventions for erfinv. Rik <octave@nomad.inbox5.com> parents: 14771 diff changeset	3009 // For doubles, it is refined by a single step of Halley's 3rd order method.
9835 1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	3010 // For single precision, the accuracy is already OK, so we skip it to get
1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	3011 // faster evaluation.
1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	3012
1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	3013 static double do_erfinv (double x, bool refine)
1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	3014 {
1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	3015 // Coefficients of rational approximation.
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11574 diff changeset	3016 static const double a[] =
17769 49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/ Rik <rik@octave.org> parents: 17744 diff changeset	3017 {
49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/ Rik <rik@octave.org> parents: 17744 diff changeset	3018 -2.806989788730439e+01, 1.562324844726888e+02,
49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/ Rik <rik@octave.org> parents: 17744 diff changeset	3019 -1.951109208597547e+02, 9.783370457507161e+01,
49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/ Rik <rik@octave.org> parents: 17744 diff changeset	3020 -2.168328665628878e+01, 1.772453852905383e+00
49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/ Rik <rik@octave.org> parents: 17744 diff changeset	3021 };
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11574 diff changeset	3022 static const double b[] =
17769 49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/ Rik <rik@octave.org> parents: 17744 diff changeset	3023 {
49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/ Rik <rik@octave.org> parents: 17744 diff changeset	3024 -5.447609879822406e+01, 1.615858368580409e+02,
49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/ Rik <rik@octave.org> parents: 17744 diff changeset	3025 -1.556989798598866e+02, 6.680131188771972e+01,
49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/ Rik <rik@octave.org> parents: 17744 diff changeset	3026 -1.328068155288572e+01
49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/ Rik <rik@octave.org> parents: 17744 diff changeset	3027 };
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11574 diff changeset	3028 static const double c[] =
17769 49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/ Rik <rik@octave.org> parents: 17744 diff changeset	3029 {
49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/ Rik <rik@octave.org> parents: 17744 diff changeset	3030 -5.504751339936943e-03, -2.279687217114118e-01,
49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/ Rik <rik@octave.org> parents: 17744 diff changeset	3031 -1.697592457770869e+00, -1.802933168781950e+00,
49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/ Rik <rik@octave.org> parents: 17744 diff changeset	3032 3.093354679843505e+00, 2.077595676404383e+00
49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/ Rik <rik@octave.org> parents: 17744 diff changeset	3033 };
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11574 diff changeset	3034 static const double d[] =
17769 49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/ Rik <rik@octave.org> parents: 17744 diff changeset	3035 {
49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/ Rik <rik@octave.org> parents: 17744 diff changeset	3036 7.784695709041462e-03, 3.224671290700398e-01,
49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/ Rik <rik@octave.org> parents: 17744 diff changeset	3037 2.445134137142996e+00, 3.754408661907416e+00
49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/ Rik <rik@octave.org> parents: 17744 diff changeset	3038 };
9835 1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	3039
14781 e190f6da40f6 maint: Correct comments and use Octave spacing conventions for erfinv. Rik <octave@nomad.inbox5.com> parents: 14771 diff changeset	3040 static const double spi2 = 8.862269254527579e-01; // sqrt(pi)/2.
9835 1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	3041 static const double pbreak = 0.95150;
1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	3042 double ax = fabs (x), y;
1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	3043
1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	3044 // Select case.
1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	3045 if (ax <= pbreak)
1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	3046 {
1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	3047 // Middle region.
1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	3048 const double q = 0.5 * x, r = q*q;
1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	3049 const double yn = (((((a[0]r + a[1])r + a[2])r + a[3])r + a[4])r + a[5])q;
1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	3050 const double yd = ((((b[0]r + b[1])r + b[2])r + b[3])r + b[4])*r + 1.0;
1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	3051 y = yn / yd;
1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	3052 }
1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	3053 else if (ax < 1.0)
1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	3054 {
1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	3055 // Tail region.
19375 264ff6bf7475 use gnulib:: namespace for log, logf, localtime, and gmtime John W. Eaton <jwe@octave.org> parents: 19358 diff changeset	3056 const double q = sqrt (-2gnulib::log (0.5(1-ax)));
9835 1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	3057 const double yn = ((((c[0]q + c[1])q + c[2])q + c[3])q + c[4])*q + c[5];
1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	3058 const double yd = (((d[0]q + d[1])q + d[2])q + d[3])q + 1.0;
1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	3059 y = yn / yd * signum (-x);
1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	3060 }
1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	3061 else if (ax == 1.0)
1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	3062 return octave_Inf * signum (x);
1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	3063 else
1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	3064 return octave_NaN;
1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	3065
1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	3066 if (refine)
1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	3067 {
1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	3068 // One iteration of Halley's method gives full precision.
14781 e190f6da40f6 maint: Correct comments and use Octave spacing conventions for erfinv. Rik <octave@nomad.inbox5.com> parents: 14771 diff changeset	3069 double u = (erf (y) - x) * spi2 * exp (y*y);
9835 1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	3070 y -= u / (1 + y*u);
1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	3071 }
1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	3072
1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	3073 return y;
1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	3074 }
1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	3075
1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	3076 double erfinv (double x)
1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	3077 {
1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	3078 return do_erfinv (x, true);
1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	3079 }
1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	3080
1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	3081 float erfinv (float x)
1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	3082 {
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11574 diff changeset	3083 return do_erfinv (x, false);
9835 1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	3084 }
10391 59e34bcdff13 implement built-in erfcx Jaroslav Hajek <highegg@gmail.com> parents: 10352 diff changeset	3085
14786 e70a0c9cada6 Pre-compute bounds (constant folding) for erfcinv function. Rik <octave@nomad.inbox5.com> parents: 14781 diff changeset	3086 // The algorthim for erfcinv is an adaptation of the erfinv algorithm above
e70a0c9cada6 Pre-compute bounds (constant folding) for erfcinv function. Rik <octave@nomad.inbox5.com> parents: 14781 diff changeset	3087 // from P. J. Acklam. It has been modified to run over the different input
e70a0c9cada6 Pre-compute bounds (constant folding) for erfcinv function. Rik <octave@nomad.inbox5.com> parents: 14781 diff changeset	3088 // domain of erfcinv. See the notes for erfinv for an explanation.
e70a0c9cada6 Pre-compute bounds (constant folding) for erfcinv function. Rik <octave@nomad.inbox5.com> parents: 14781 diff changeset	3089
14770 cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3090 static double do_erfcinv (double x, bool refine)
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3091 {
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3092 // Coefficients of rational approximation.
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3093 static const double a[] =
17769 49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/ Rik <rik@octave.org> parents: 17744 diff changeset	3094 {
49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/ Rik <rik@octave.org> parents: 17744 diff changeset	3095 -2.806989788730439e+01, 1.562324844726888e+02,
49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/ Rik <rik@octave.org> parents: 17744 diff changeset	3096 -1.951109208597547e+02, 9.783370457507161e+01,
49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/ Rik <rik@octave.org> parents: 17744 diff changeset	3097 -2.168328665628878e+01, 1.772453852905383e+00
49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/ Rik <rik@octave.org> parents: 17744 diff changeset	3098 };
14770 cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3099 static const double b[] =
17769 49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/ Rik <rik@octave.org> parents: 17744 diff changeset	3100 {
49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/ Rik <rik@octave.org> parents: 17744 diff changeset	3101 -5.447609879822406e+01, 1.615858368580409e+02,
49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/ Rik <rik@octave.org> parents: 17744 diff changeset	3102 -1.556989798598866e+02, 6.680131188771972e+01,
49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/ Rik <rik@octave.org> parents: 17744 diff changeset	3103 -1.328068155288572e+01
49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/ Rik <rik@octave.org> parents: 17744 diff changeset	3104 };
14770 cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3105 static const double c[] =
17769 49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/ Rik <rik@octave.org> parents: 17744 diff changeset	3106 {
49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/ Rik <rik@octave.org> parents: 17744 diff changeset	3107 -5.504751339936943e-03, -2.279687217114118e-01,
49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/ Rik <rik@octave.org> parents: 17744 diff changeset	3108 -1.697592457770869e+00, -1.802933168781950e+00,
49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/ Rik <rik@octave.org> parents: 17744 diff changeset	3109 3.093354679843505e+00, 2.077595676404383e+00
49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/ Rik <rik@octave.org> parents: 17744 diff changeset	3110 };
14770 cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3111 static const double d[] =
17769 49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/ Rik <rik@octave.org> parents: 17744 diff changeset	3112 {
49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/ Rik <rik@octave.org> parents: 17744 diff changeset	3113 7.784695709041462e-03, 3.224671290700398e-01,
49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/ Rik <rik@octave.org> parents: 17744 diff changeset	3114 2.445134137142996e+00, 3.754408661907416e+00
49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/ Rik <rik@octave.org> parents: 17744 diff changeset	3115 };
14770 cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3116
14771 10ed11922f19 maint: code cleanup for new erfcinv function. Rik <octave@nomad.inbox5.com> parents: 14770 diff changeset	3117 static const double spi2 = 8.862269254527579e-01; // sqrt(pi)/2.
14786 e70a0c9cada6 Pre-compute bounds (constant folding) for erfcinv function. Rik <octave@nomad.inbox5.com> parents: 14781 diff changeset	3118 static const double pbreak_lo = 0.04850; // 1-pbreak
e70a0c9cada6 Pre-compute bounds (constant folding) for erfcinv function. Rik <octave@nomad.inbox5.com> parents: 14781 diff changeset	3119 static const double pbreak_hi = 1.95150; // 1+pbreak
14770 cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3120 double y;
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3121
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3122 // Select case.
14786 e70a0c9cada6 Pre-compute bounds (constant folding) for erfcinv function. Rik <octave@nomad.inbox5.com> parents: 14781 diff changeset	3123 if (x >= pbreak_lo && x <= pbreak_hi)
14770 cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3124 {
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3125 // Middle region.
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3126 const double q = 0.5(1-x), r = qq;
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3127 const double yn = (((((a[0]r + a[1])r + a[2])r + a[3])r + a[4])r + a[5])q;
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3128 const double yd = ((((b[0]r + b[1])r + b[2])r + b[3])r + b[4])*r + 1.0;
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3129 y = yn / yd;
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3130 }
14786 e70a0c9cada6 Pre-compute bounds (constant folding) for erfcinv function. Rik <octave@nomad.inbox5.com> parents: 14781 diff changeset	3131 else if (x > 0.0 && x < 2.0)
14770 cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3132 {
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3133 // Tail region.
19375 264ff6bf7475 use gnulib:: namespace for log, logf, localtime, and gmtime John W. Eaton <jwe@octave.org> parents: 19358 diff changeset	3134 const double q = (x < 1
264ff6bf7475 use gnulib:: namespace for log, logf, localtime, and gmtime John W. Eaton <jwe@octave.org> parents: 19358 diff changeset	3135 ? sqrt (-2gnulib::log (0.5x))
264ff6bf7475 use gnulib:: namespace for log, logf, localtime, and gmtime John W. Eaton <jwe@octave.org> parents: 19358 diff changeset	3136 : sqrt (-2gnulib::log (0.5(2-x))));
264ff6bf7475 use gnulib:: namespace for log, logf, localtime, and gmtime John W. Eaton <jwe@octave.org> parents: 19358 diff changeset	3137
14770 cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3138 const double yn = ((((c[0]q + c[1])q + c[2])q + c[3])q + c[4])*q + c[5];
19375 264ff6bf7475 use gnulib:: namespace for log, logf, localtime, and gmtime John W. Eaton <jwe@octave.org> parents: 19358 diff changeset	3139
14770 cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3140 const double yd = (((d[0]q + d[1])q + d[2])q + d[3])q + 1.0;
19375 264ff6bf7475 use gnulib:: namespace for log, logf, localtime, and gmtime John W. Eaton <jwe@octave.org> parents: 19358 diff changeset	3141
14770 cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3142 y = yn / yd;
19375 264ff6bf7475 use gnulib:: namespace for log, logf, localtime, and gmtime John W. Eaton <jwe@octave.org> parents: 19358 diff changeset	3143
14786 e70a0c9cada6 Pre-compute bounds (constant folding) for erfcinv function. Rik <octave@nomad.inbox5.com> parents: 14781 diff changeset	3144 if (x < pbreak_lo)
e70a0c9cada6 Pre-compute bounds (constant folding) for erfcinv function. Rik <octave@nomad.inbox5.com> parents: 14781 diff changeset	3145 y = -y;
14770 cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3146 }
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3147 else if (x == 0.0)
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3148 return octave_Inf;
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3149 else if (x == 2.0)
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3150 return -octave_Inf;
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3151 else
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3152 return octave_NaN;
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3153
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3154 if (refine)
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3155 {
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3156 // One iteration of Halley's method gives full precision.
14771 10ed11922f19 maint: code cleanup for new erfcinv function. Rik <octave@nomad.inbox5.com> parents: 14770 diff changeset	3157 double u = (erf (y) - (1-x)) * spi2 * exp (y*y);
14770 cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3158 y -= u / (1 + y*u);
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3159 }
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3160
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3161 return y;
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3162 }
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3163
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3164 double erfcinv (double x)
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3165 {
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3166 return do_erfcinv (x, true);
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3167 }
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3168
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3169 float erfcinv (float x)
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3170 {
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3171 return do_erfcinv (x, false);
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3172 }
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3173
14816 0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3174 //
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3175 // Incomplete Beta function ratio
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3176 //
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3177 // Algorithm based on the one by John Burkardt.
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3178 // See http://people.sc.fsu.edu/~jburkardt/cpp_src/asa109/asa109.html
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3179 //
14817 67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3180 // The original code is distributed under the GNU LGPL v3 license.
14816 0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3181 //
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3182 // Reference:
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3183 //
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3184 // KL Majumder, GP Bhattacharjee,
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3185 // Algorithm AS 63:
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3186 // The incomplete Beta Integral,
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3187 // Applied Statistics,
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3188 // Volume 22, Number 3, 1973, pages 409-411.
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3189 //
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3190 double
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3191 betain (double x, double p, double q, double beta, bool& err)
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3192 {
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3193 double acu = 0.1E-14, ai, cx;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3194 bool indx;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3195 int ns;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3196 double pp, psq, qq, rx, temp, term, value, xx;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3197
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3198 value = x;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3199 err = false;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3200
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3201 // Check the input arguments.
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3202
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3203 if ((p <= 0.0 \|\| q <= 0.0) \|\| (x < 0.0 \|\| 1.0 < x))
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3204 {
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3205 err = true;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3206 return value;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3207 }
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3208
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3209 // Special cases.
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3210
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3211 if (x == 0.0 \|\| x == 1.0)
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3212 {
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3213 return value;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3214 }
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3215
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3216 // Change tail if necessary and determine S.
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3217
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3218 psq = p + q;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3219 cx = 1.0 - x;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3220
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3221 if (p < psq * x)
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3222 {
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3223 xx = cx;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3224 cx = x;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3225 pp = q;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3226 qq = p;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3227 indx = true;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3228 }
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3229 else
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3230 {
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3231 xx = x;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3232 pp = p;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3233 qq = q;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3234 indx = false;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3235 }
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3236
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3237 term = 1.0;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3238 ai = 1.0;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3239 value = 1.0;
15217 d2220c3def3f avoid C-style cast warning John W. Eaton <jwe@octave.org> parents: 15084 diff changeset	3240 ns = static_cast<int> (qq + cx * psq);
14816 0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3241
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3242 // Use the Soper reduction formula.
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3243
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3244 rx = xx / cx;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3245 temp = qq - ai;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3246 if (ns == 0)
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3247 {
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3248 rx = xx;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3249 }
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3250
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3251 for ( ; ; )
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3252 {
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3253 term = term * temp * rx / (pp + ai);
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3254 value = value + term;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3255 temp = fabs (term);
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3256
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3257 if (temp <= acu && temp <= acu * value)
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3258 {
19375 264ff6bf7475 use gnulib:: namespace for log, logf, localtime, and gmtime John W. Eaton <jwe@octave.org> parents: 19358 diff changeset	3259 value = value * exp (pp * gnulib::log (xx)
264ff6bf7475 use gnulib:: namespace for log, logf, localtime, and gmtime John W. Eaton <jwe@octave.org> parents: 19358 diff changeset	3260 + (qq - 1.0) * gnulib::log (cx) - beta) / pp;
14816 0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3261
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3262 if (indx)
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3263 {
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3264 value = 1.0 - value;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3265 }
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3266 break;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3267 }
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3268
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3269 ai = ai + 1.0;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3270 ns = ns - 1;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3271
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3272 if (0 <= ns)
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3273 {
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3274 temp = qq - ai;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3275 if (ns == 0)
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3276 {
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3277 rx = xx;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3278 }
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3279 }
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3280 else
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3281 {
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3282 temp = psq;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3283 psq = psq + 1.0;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3284 }
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3285 }
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3286
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3287 return value;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3288 }
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3289
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3290 //
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3291 // Inverse of the incomplete Beta function
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3292 //
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3293 // Algorithm based on the one by John Burkardt.
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3294 // See http://people.sc.fsu.edu/~jburkardt/cpp_src/asa109/asa109.html
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3295 //
14817 67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3296 // The original code is distributed under the GNU LGPL v3 license.
14816 0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3297 //
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3298 // Reference:
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3299 //
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3300 // GW Cran, KJ Martin, GE Thomas,
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3301 // Remark AS R19 and Algorithm AS 109:
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3302 // A Remark on Algorithms AS 63: The Incomplete Beta Integral
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3303 // and AS 64: Inverse of the Incomplete Beta Integeral,
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3304 // Applied Statistics,
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3305 // Volume 26, Number 1, 1977, pages 111-114.
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3306 //
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3307 double
15217 d2220c3def3f avoid C-style cast warning John W. Eaton <jwe@octave.org> parents: 15084 diff changeset	3308 betaincinv (double y, double p, double q)
d2220c3def3f avoid C-style cast warning John W. Eaton <jwe@octave.org> parents: 15084 diff changeset	3309 {
14816 0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3310 double a, acu, adj, fpu, g, h;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3311 int iex;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3312 bool indx;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3313 double pp, prev, qq, r, s, sae = -37.0, sq, t, tx, value, w, xin, ycur, yprev;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3314
14847 bcf86cc2f1ee Use xlgamma instead of lgamma in betaincinv for portability across systems. Rik <octave@nomad.inbox5.com> parents: 14846 diff changeset	3315 double beta = xlgamma (p) + xlgamma (q) - xlgamma (p + q);
14816 0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3316 bool err = false;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3317 fpu = pow (10.0, sae);
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3318 value = y;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3319
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3320 // Test for admissibility of parameters.
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3321
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3322 if (p <= 0.0 \|\| q <= 0.0)
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3323 {
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3324 (*current_liboctave_error_handler)
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3325 ("betaincinv: wrong parameters");
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3326 }
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3327
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3328 if (y < 0.0 \|\| 1.0 < y)
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3329 {
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3330 (*current_liboctave_error_handler)
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3331 ("betaincinv: wrong parameter Y");
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3332 }
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3333
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3334 if (y == 0.0 \|\| y == 1.0)
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3335 {
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3336 return value;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3337 }
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3338
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3339 // Change tail if necessary.
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3340
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3341 if (0.5 < y)
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3342 {
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3343 a = 1.0 - y;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3344 pp = q;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3345 qq = p;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3346 indx = true;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3347 }
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3348 else
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3349 {
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3350 a = y;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3351 pp = p;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3352 qq = q;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3353 indx = false;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3354 }
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3355
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3356 // Calculate the initial approximation.
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3357
19375 264ff6bf7475 use gnulib:: namespace for log, logf, localtime, and gmtime John W. Eaton <jwe@octave.org> parents: 19358 diff changeset	3358 r = sqrt (- gnulib::log (a * a));
14816 0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3359
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3360 ycur = r - (2.30753 + 0.27061 * r) / (1.0 + (0.99229 + 0.04481 * r) * r);
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3361
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3362 if (1.0 < pp && 1.0 < qq)
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3363 {
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3364 r = (ycur * ycur - 3.0) / 6.0;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3365 s = 1.0 / (pp + pp - 1.0);
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3366 t = 1.0 / (qq + qq - 1.0);
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3367 h = 2.0 / (s + t);
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3368 w = ycur * sqrt (h + r) / h - (t - s) * (r + 5.0 / 6.0 - 2.0 / (3.0 * h));
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3369 value = pp / (pp + qq * exp (w + w));
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3370 }
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3371 else
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3372 {
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3373 r = qq + qq;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3374 t = 1.0 / (9.0 * qq);
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3375 t = r * pow (1.0 - t + ycur * sqrt (t), 3);
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3376
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3377 if (t <= 0.0)
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3378 {
19375 264ff6bf7475 use gnulib:: namespace for log, logf, localtime, and gmtime John W. Eaton <jwe@octave.org> parents: 19358 diff changeset	3379 value = 1.0 - exp ((gnulib::log ((1.0 - a) * qq) + beta) / qq);
14816 0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3380 }
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3381 else
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3382 {
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3383 t = (4.0 * pp + r - 2.0) / t;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3384
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3385 if (t <= 1.0)
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3386 {
19375 264ff6bf7475 use gnulib:: namespace for log, logf, localtime, and gmtime John W. Eaton <jwe@octave.org> parents: 19358 diff changeset	3387 value = exp ((gnulib::log (a * pp) + beta) / pp);
14816 0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3388 }
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3389 else
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3390 {
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3391 value = 1.0 - 2.0 / (t + 1.0);
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3392 }
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3393 }
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3394 }
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3395
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3396 // Solve for X by a modified Newton-Raphson method,
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3397 // using the function BETAIN.
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3398
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3399 r = 1.0 - pp;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3400 t = 1.0 - qq;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3401 yprev = 0.0;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3402 sq = 1.0;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3403 prev = 1.0;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3404
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3405 if (value < 0.0001)
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3406 {
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3407 value = 0.0001;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3408 }
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3409
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3410 if (0.9999 < value)
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3411 {
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3412 value = 0.9999;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3413 }
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3414
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3415 iex = std::max (- 5.0 / pp / pp - 1.0 / pow (a, 0.2) - 13.0, sae);
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3416
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3417 acu = pow (10.0, iex);
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3418
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3419 for ( ; ; )
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3420 {
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3421 ycur = betain (value, pp, qq, beta, err);
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3422
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3423 if (err)
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3424 {
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3425 return value;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3426 }
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3427
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3428 xin = value;
18928 161ebb78ac1b use gnulib::log and gnulib::logf functions John W. Eaton <jwe@octave.org> parents: 18678 diff changeset	3429 ycur = (ycur - a) * exp (beta + r * gnulib::log (xin)
161ebb78ac1b use gnulib::log and gnulib::logf functions John W. Eaton <jwe@octave.org> parents: 18678 diff changeset	3430 + t * gnulib::log (1.0 - xin));
14816 0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3431
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3432 if (ycur * yprev <= 0.0)
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3433 {
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3434 prev = std::max (sq, fpu);
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3435 }
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3436
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3437 g = 1.0;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3438
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3439 for ( ; ; )
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3440 {
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3441 for ( ; ; )
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3442 {
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3443 adj = g * ycur;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3444 sq = adj * adj;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3445
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3446 if (sq < prev)
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3447 {
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3448 tx = value - adj;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3449
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3450 if (0.0 <= tx && tx <= 1.0)
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3451 {
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3452 break;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3453 }
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3454 }
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3455 g = g / 3.0;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3456 }
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3457
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3458 if (prev <= acu)
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3459 {
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3460 if (indx)
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3461 {
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3462 value = 1.0 - value;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3463 }
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3464 return value;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3465 }
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3466
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3467 if (ycur * ycur <= acu)
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3468 {
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3469 if (indx)
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3470 {
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3471 value = 1.0 - value;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3472 }
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3473 return value;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3474 }
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3475
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3476 if (tx != 0.0 && tx != 1.0)
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3477 {
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3478 break;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3479 }
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3480
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3481 g = g / 3.0;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3482 }
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3483
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3484 if (tx == value)
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3485 {
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3486 break;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3487 }
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3488
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3489 value = tx;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3490 yprev = ycur;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3491 }
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3492
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3493 if (indx)
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3494 {
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3495 value = 1.0 - value;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3496 }
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3497
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3498 return value;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3499 }
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3500
14817 67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3501 Array<double>
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3502 betaincinv (double x, double a, const Array<double>& b)
14816 0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3503 {
14817 67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3504 dim_vector dv = b.dims ();
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3505 octave_idx_type nel = dv.numel ();
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3506
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3507 Array<double> retval (dv);
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3508
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3509 double *pretval = retval.fortran_vec ();
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3510
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3511 for (octave_idx_type i = 0; i < nel; i++)
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3512 *pretval++ = betaincinv (x, a, b(i));
14816 0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3513
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3514 return retval;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3515 }
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3516
14817 67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3517 Array<double>
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3518 betaincinv (double x, const Array<double>& a, double b)
14816 0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3519 {
14817 67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3520 dim_vector dv = a.dims ();
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3521 octave_idx_type nel = dv.numel ();
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3522
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3523 Array<double> retval (dv);
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3524
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3525 double *pretval = retval.fortran_vec ();
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3526
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3527 for (octave_idx_type i = 0; i < nel; i++)
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3528 *pretval++ = betaincinv (x, a(i), b);
14816 0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3529
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3530 return retval;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3531 }
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3532
14817 67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3533 Array<double>
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3534 betaincinv (double x, const Array<double>& a, const Array<double>& b)
14816 0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3535 {
14817 67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3536 Array<double> retval;
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3537 dim_vector dv = a.dims ();
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3538
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3539 if (dv == b.dims ())
14816 0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3540 {
14817 67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3541 octave_idx_type nel = dv.numel ();
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3542
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3543 retval.resize (dv);
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3544
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3545 double *pretval = retval.fortran_vec ();
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3546
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3547 for (octave_idx_type i = 0; i < nel; i++)
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3548 *pretval++ = betaincinv (x, a(i), b(i));
14816 0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3549 }
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3550 else
14817 67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3551 gripe_betaincinv_nonconformant (dim_vector (0, 0), dv, b.dims ());
14816 0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3552
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3553 return retval;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3554 }
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3555
14817 67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3556 Array<double>
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3557 betaincinv (const Array<double>& x, double a, double b)
14816 0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3558 {
14817 67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3559 dim_vector dv = x.dims ();
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3560 octave_idx_type nel = dv.numel ();
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3561
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3562 Array<double> retval (dv);
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3563
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3564 double *pretval = retval.fortran_vec ();
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3565
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3566 for (octave_idx_type i = 0; i < nel; i++)
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3567 *pretval++ = betaincinv (x(i), a, b);
14816 0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3568
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3569 return retval;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3570 }
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3571
14817 67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3572 Array<double>
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3573 betaincinv (const Array<double>& x, double a, const Array<double>& b)
14816 0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3574 {
14817 67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3575 Array<double> retval;
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3576 dim_vector dv = x.dims ();
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3577
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3578 if (dv == b.dims ())
14816 0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3579 {
14817 67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3580 octave_idx_type nel = dv.numel ();
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3581
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3582 retval.resize (dv);
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3583
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3584 double *pretval = retval.fortran_vec ();
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3585
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3586 for (octave_idx_type i = 0; i < nel; i++)
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3587 *pretval++ = betaincinv (x(i), a, b(i));
14816 0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3588 }
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3589 else
14817 67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3590 gripe_betaincinv_nonconformant (dv, dim_vector (0, 0), b.dims ());
14816 0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3591
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3592 return retval;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3593 }
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3594
14817 67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3595 Array<double>
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3596 betaincinv (const Array<double>& x, const Array<double>& a, double b)
14816 0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3597 {
14817 67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3598 Array<double> retval;
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3599 dim_vector dv = x.dims ();
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3600
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3601 if (dv == a.dims ())
14816 0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3602 {
14817 67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3603 octave_idx_type nel = dv.numel ();
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3604
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3605 retval.resize (dv);
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3606
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3607 double *pretval = retval.fortran_vec ();
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3608
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3609 for (octave_idx_type i = 0; i < nel; i++)
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3610 *pretval++ = betaincinv (x(i), a(i), b);
14816 0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3611 }
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3612 else
14817 67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3613 gripe_betaincinv_nonconformant (dv, a.dims (), dim_vector (0, 0));
14816 0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3614
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3615 return retval;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3616 }
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3617
14817 67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3618 Array<double>
17769 49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/ Rik <rik@octave.org> parents: 17744 diff changeset	3619 betaincinv (const Array<double>& x, const Array<double>& a,
49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/ Rik <rik@octave.org> parents: 17744 diff changeset	3620 const Array<double>& b)
14816 0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3621 {
14817 67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3622 Array<double> retval;
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3623 dim_vector dv = x.dims ();
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3624
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3625 if (dv == a.dims () && dv == b.dims ())
14816 0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3626 {
14817 67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3627 octave_idx_type nel = dv.numel ();
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3628
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3629 retval.resize (dv);
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3630
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3631 double *pretval = retval.fortran_vec ();
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3632
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3633 for (octave_idx_type i = 0; i < nel; i++)
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3634 *pretval++ = betaincinv (x(i), a(i), b(i));
14816 0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3635 }
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3636 else
14817 67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3637 gripe_betaincinv_nonconformant (dv, a.dims (), b.dims ());
14816 0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3638
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3639 return retval;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3640 }
17502 578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3641
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3642 void
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3643 ellipj (double u, double m, double& sn, double& cn, double& dn, double& err)
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3644 {
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3645 static const int Nmax = 16;
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3646 double m1, t=0, si_u, co_u, se_u, ta_u, b, c[Nmax], a[Nmax], phi;
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3647 int n, Nn, ii;
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3648
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3649 if (m < 0 \|\| m > 1)
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3650 {
19410 95c533ed464b use warning IDs for all warnings in liboctave John W. Eaton <jwe@octave.org> parents: 19377 diff changeset	3651 (*current_liboctave_warning_with_id_handler)
95c533ed464b use warning IDs for all warnings in liboctave John W. Eaton <jwe@octave.org> parents: 19377 diff changeset	3652 ("Octave:ellipj-invalid-m", "ellipj: expecting 0 <= M <= 1");
95c533ed464b use warning IDs for all warnings in liboctave John W. Eaton <jwe@octave.org> parents: 19377 diff changeset	3653
17502 578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3654 sn = cn = dn = lo_ieee_nan_value ();
19410 95c533ed464b use warning IDs for all warnings in liboctave John W. Eaton <jwe@octave.org> parents: 19377 diff changeset	3655
17502 578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3656 return;
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3657 }
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3658
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3659 double sqrt_eps = sqrt (std::numeric_limits<double>::epsilon ());
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3660 if (m < sqrt_eps)
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3661 {
18678 6113e0c6920b maint: Clean up extra spaces before/after parentheses. Rik <rik@octave.org> parents: 18676 diff changeset	3662 // For small m, (Abramowitz and Stegun, Section 16.13)
17502 578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3663 si_u = sin (u);
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3664 co_u = cos (u);
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3665 t = 0.25m(u - si_u*co_u);
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3666 sn = si_u - t * co_u;
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3667 cn = co_u + t * si_u;
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3668 dn = 1 - 0.5msi_u*si_u;
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3669 }
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3670 else if ((1 - m) < sqrt_eps)
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3671 {
18678 6113e0c6920b maint: Clean up extra spaces before/after parentheses. Rik <rik@octave.org> parents: 18676 diff changeset	3672 // For m1 = (1-m) small (Abramowitz and Stegun, Section 16.15)
17502 578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3673 m1 = 1 - m;
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3674 si_u = sinh (u);
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3675 co_u = cosh (u);
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3676 ta_u = tanh (u);
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3677 se_u = 1/co_u;
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3678 sn = ta_u + 0.25m1(si_uco_u - u)se_u*se_u;
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3679 cn = se_u - 0.25m1(si_uco_u - u)ta_u*se_u;
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3680 dn = se_u + 0.25m1(si_uco_u + u)ta_u*se_u;
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3681 }
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3682 else
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3683 {
18678 6113e0c6920b maint: Clean up extra spaces before/after parentheses. Rik <rik@octave.org> parents: 18676 diff changeset	3684 // Arithmetic-Geometric Mean (AGM) algorithm
6113e0c6920b maint: Clean up extra spaces before/after parentheses. Rik <rik@octave.org> parents: 18676 diff changeset	3685 // (Abramowitz and Stegun, Section 16.4)
17502 578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3686 a[0] = 1;
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3687 b = sqrt (1 - m);
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3688 c[0] = sqrt (m);
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3689 for (n = 1; n < Nmax; ++n)
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3690 {
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3691 a[n] = (a[n - 1] + b)/2;
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3692 c[n] = (a[n - 1] - b)/2;
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3693 b = sqrt (a[n - 1]*b);
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3694 if (c[n]/a[n] < std::numeric_limits<double>::epsilon ()) break;
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3695 }
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3696 if (n >= Nmax - 1)
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3697 {
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3698 err = 1;
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3699 return;
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3700 }
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3701 Nn = n;
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3702 for (ii = 1; n > 0; ii = ii*2, --n) ; // ii = pow(2,Nn)
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3703 phi = iia[Nn]u;
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3704 for (n = Nn; n > 0; --n)
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3705 {
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3706 phi = (asin ((c[n]/a[n])* sin (phi)) + phi)/2;
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3707 }
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3708 sn = sin (phi);
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3709 cn = cos (phi);
19200 068a3e51b7b8 ellipj: Fix continuity of dn output when cn is near zero (bug #43344) Mike Miller <mtmiller@ieee.org> parents: 18928 diff changeset	3710 dn = sqrt (1 - msnsn);
17502 578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3711 }
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3712 }
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3713
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3714 void
17769 49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/ Rik <rik@octave.org> parents: 17744 diff changeset	3715 ellipj (const Complex& u, double m, Complex& sn, Complex& cn, Complex& dn,
49a5a4be04a1 maint: Use GNU style coding conventions for code in liboctave/ Rik <rik@octave.org> parents: 17744 diff changeset	3716 double& err)
17502 578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3717 {
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3718 double m1 = 1 - m, ss1, cc1, dd1;
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3719
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3720 ellipj (imag (u), m1, ss1, cc1, dd1, err);
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3721 if (real (u) == 0)
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3722 {
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3723 // u is pure imag: Jacoby imag. transf.
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3724 sn = Complex (0, ss1/cc1);
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3725 cn = 1/cc1; // cn.imag = 0;
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3726 dn = dd1/cc1; // dn.imag = 0;
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3727 }
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3728 else
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3729 {
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3730 // u is generic complex
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3731 double ss, cc, dd, ddd;
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3732
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3733 ellipj (real (u), m, ss, cc, dd, err);
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3734 ddd = cc1cc1 + mssssss1*ss1;
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3735 sn = Complex (ssdd1/ddd, ccddss1cc1/ddd);
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3736 cn = Complex (cccc1/ddd, -ssddss1dd1/ddd);
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3737 dn = Complex (ddcc1dd1/ddd, -msscc*ss1/ddd);
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3738 }
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3739 }
20154 45565ecec019 New function psi to compute the digamma function. Carnë Draug <carandraug@octave.org> parents: 19739 diff changeset	3740
20155 1fae49e34a1a psi: add support for complex numbers. Carnë Draug <carandraug@octave.org> parents: 20154 diff changeset	3741 static const double pi = 3.14159265358979323846;
20156 bd565f3e0ecb psi: refactor to reduce code duplication. Carnë Draug <carandraug@octave.org> parents: 20155 diff changeset	3742
bd565f3e0ecb psi: refactor to reduce code duplication. Carnë Draug <carandraug@octave.org> parents: 20155 diff changeset	3743 template<class T>
20161 65e22ba879f0 psi: add support to compute the polygamma function (kth-derivative). Carnë Draug <carandraug@octave.org> parents: 20156 diff changeset	3744 static T
20156 bd565f3e0ecb psi: refactor to reduce code duplication. Carnë Draug <carandraug@octave.org> parents: 20155 diff changeset	3745 Lanczos_approximation_psi (const T zc)
bd565f3e0ecb psi: refactor to reduce code duplication. Carnë Draug <carandraug@octave.org> parents: 20155 diff changeset	3746 {
bd565f3e0ecb psi: refactor to reduce code duplication. Carnë Draug <carandraug@octave.org> parents: 20155 diff changeset	3747 // Coefficients for C.Lanczos expansion of psi function from XLiFE++ gammaFunctions
bd565f3e0ecb psi: refactor to reduce code duplication. Carnë Draug <carandraug@octave.org> parents: 20155 diff changeset	3748 // psi_coef[k] = - (2k+1) * lg_coef[k] (see melina++ gamma functions)
bd565f3e0ecb psi: refactor to reduce code duplication. Carnë Draug <carandraug@octave.org> parents: 20155 diff changeset	3749 // -1/12, 3/360,-5/1260, 7/1680,-9/1188, 11691/360360,-13/156, 153617/122400, ? , ?
bd565f3e0ecb psi: refactor to reduce code duplication. Carnë Draug <carandraug@octave.org> parents: 20155 diff changeset	3750 static const T dg_coeff[10] = {
bd565f3e0ecb psi: refactor to reduce code duplication. Carnë Draug <carandraug@octave.org> parents: 20155 diff changeset	3751 -0.83333333333333333e-1, 0.83333333333333333e-2,
bd565f3e0ecb psi: refactor to reduce code duplication. Carnë Draug <carandraug@octave.org> parents: 20155 diff changeset	3752 -0.39682539682539683e-2, 0.41666666666666667e-2,
bd565f3e0ecb psi: refactor to reduce code duplication. Carnë Draug <carandraug@octave.org> parents: 20155 diff changeset	3753 -0.75757575757575758e-2, 0.21092796092796093e-1,
bd565f3e0ecb psi: refactor to reduce code duplication. Carnë Draug <carandraug@octave.org> parents: 20155 diff changeset	3754 -0.83333333333333333e-1, 0.4432598039215686,
bd565f3e0ecb psi: refactor to reduce code duplication. Carnë Draug <carandraug@octave.org> parents: 20155 diff changeset	3755 -0.3053954330270122e+1, 0.125318899521531e+2
bd565f3e0ecb psi: refactor to reduce code duplication. Carnë Draug <carandraug@octave.org> parents: 20155 diff changeset	3756 };
bd565f3e0ecb psi: refactor to reduce code duplication. Carnë Draug <carandraug@octave.org> parents: 20155 diff changeset	3757
bd565f3e0ecb psi: refactor to reduce code duplication. Carnë Draug <carandraug@octave.org> parents: 20155 diff changeset	3758 T overz2 = T (1.0) / (zc * zc);
bd565f3e0ecb psi: refactor to reduce code duplication. Carnë Draug <carandraug@octave.org> parents: 20155 diff changeset	3759 T overz2k = overz2;
bd565f3e0ecb psi: refactor to reduce code duplication. Carnë Draug <carandraug@octave.org> parents: 20155 diff changeset	3760
bd565f3e0ecb psi: refactor to reduce code duplication. Carnë Draug <carandraug@octave.org> parents: 20155 diff changeset	3761 T p = 0;
bd565f3e0ecb psi: refactor to reduce code duplication. Carnë Draug <carandraug@octave.org> parents: 20155 diff changeset	3762 for (octave_idx_type k = 0; k < 10; k++, overz2k *= overz2)
bd565f3e0ecb psi: refactor to reduce code duplication. Carnë Draug <carandraug@octave.org> parents: 20155 diff changeset	3763 p += dg_coeff[k] * overz2k;
bd565f3e0ecb psi: refactor to reduce code duplication. Carnë Draug <carandraug@octave.org> parents: 20155 diff changeset	3764 p += log (zc) - T (0.5) / zc;
bd565f3e0ecb psi: refactor to reduce code duplication. Carnë Draug <carandraug@octave.org> parents: 20155 diff changeset	3765 return p;
bd565f3e0ecb psi: refactor to reduce code duplication. Carnë Draug <carandraug@octave.org> parents: 20155 diff changeset	3766 }
20155 1fae49e34a1a psi: add support for complex numbers. Carnë Draug <carandraug@octave.org> parents: 20154 diff changeset	3767
20154 45565ecec019 New function psi to compute the digamma function. Carnë Draug <carandraug@octave.org> parents: 19739 diff changeset	3768 template<class T>
45565ecec019 New function psi to compute the digamma function. Carnë Draug <carandraug@octave.org> parents: 19739 diff changeset	3769 T
45565ecec019 New function psi to compute the digamma function. Carnë Draug <carandraug@octave.org> parents: 19739 diff changeset	3770 psi (const T& z)
45565ecec019 New function psi to compute the digamma function. Carnë Draug <carandraug@octave.org> parents: 19739 diff changeset	3771 {
20156 bd565f3e0ecb psi: refactor to reduce code duplication. Carnë Draug <carandraug@octave.org> parents: 20155 diff changeset	3772 static const double euler_mascheroni = 0.577215664901532860606512090082402431042;
bd565f3e0ecb psi: refactor to reduce code duplication. Carnë Draug <carandraug@octave.org> parents: 20155 diff changeset	3773
20154 45565ecec019 New function psi to compute the digamma function. Carnë Draug <carandraug@octave.org> parents: 19739 diff changeset	3774 const bool is_int = (xfloor (z) == z);
45565ecec019 New function psi to compute the digamma function. Carnë Draug <carandraug@octave.org> parents: 19739 diff changeset	3775
45565ecec019 New function psi to compute the digamma function. Carnë Draug <carandraug@octave.org> parents: 19739 diff changeset	3776 T p = 0;
45565ecec019 New function psi to compute the digamma function. Carnë Draug <carandraug@octave.org> parents: 19739 diff changeset	3777 if (z <= 0)
45565ecec019 New function psi to compute the digamma function. Carnë Draug <carandraug@octave.org> parents: 19739 diff changeset	3778 {
45565ecec019 New function psi to compute the digamma function. Carnë Draug <carandraug@octave.org> parents: 19739 diff changeset	3779 // limits - zeros of the gamma function
45565ecec019 New function psi to compute the digamma function. Carnë Draug <carandraug@octave.org> parents: 19739 diff changeset	3780 if (is_int)
45565ecec019 New function psi to compute the digamma function. Carnë Draug <carandraug@octave.org> parents: 19739 diff changeset	3781 p = -octave_Inf; // Matlab returns -Inf for psi (0)
45565ecec019 New function psi to compute the digamma function. Carnë Draug <carandraug@octave.org> parents: 19739 diff changeset	3782 else
45565ecec019 New function psi to compute the digamma function. Carnë Draug <carandraug@octave.org> parents: 19739 diff changeset	3783 // Abramowitz and Stegun, page 259, eq 6.3.7
45565ecec019 New function psi to compute the digamma function. Carnë Draug <carandraug@octave.org> parents: 19739 diff changeset	3784 p = psi (1 - z) - (pi / tan (pi * z));
45565ecec019 New function psi to compute the digamma function. Carnë Draug <carandraug@octave.org> parents: 19739 diff changeset	3785 }
45565ecec019 New function psi to compute the digamma function. Carnë Draug <carandraug@octave.org> parents: 19739 diff changeset	3786 else if (is_int)
45565ecec019 New function psi to compute the digamma function. Carnë Draug <carandraug@octave.org> parents: 19739 diff changeset	3787 {
45565ecec019 New function psi to compute the digamma function. Carnë Draug <carandraug@octave.org> parents: 19739 diff changeset	3788 // Abramowitz and Stegun, page 258, eq 6.3.2
45565ecec019 New function psi to compute the digamma function. Carnë Draug <carandraug@octave.org> parents: 19739 diff changeset	3789 p = - euler_mascheroni;
20156 bd565f3e0ecb psi: refactor to reduce code duplication. Carnë Draug <carandraug@octave.org> parents: 20155 diff changeset	3790 for (octave_idx_type k = z - 1; k > 0; k--)
20154 45565ecec019 New function psi to compute the digamma function. Carnë Draug <carandraug@octave.org> parents: 19739 diff changeset	3791 p += 1.0 / k;
45565ecec019 New function psi to compute the digamma function. Carnë Draug <carandraug@octave.org> parents: 19739 diff changeset	3792 }
45565ecec019 New function psi to compute the digamma function. Carnë Draug <carandraug@octave.org> parents: 19739 diff changeset	3793 else if (xfloor (z + 0.5) == z + 0.5)
45565ecec019 New function psi to compute the digamma function. Carnë Draug <carandraug@octave.org> parents: 19739 diff changeset	3794 {
45565ecec019 New function psi to compute the digamma function. Carnë Draug <carandraug@octave.org> parents: 19739 diff changeset	3795 // Abramowitz and Stegun, page 258, eq 6.3.3 and 6.3.4
20156 bd565f3e0ecb psi: refactor to reduce code duplication. Carnë Draug <carandraug@octave.org> parents: 20155 diff changeset	3796 for (octave_idx_type k = z; k > 0; k--)
20154 45565ecec019 New function psi to compute the digamma function. Carnë Draug <carandraug@octave.org> parents: 19739 diff changeset	3797 p += 1.0 / (2 * k - 1);
45565ecec019 New function psi to compute the digamma function. Carnë Draug <carandraug@octave.org> parents: 19739 diff changeset	3798
45565ecec019 New function psi to compute the digamma function. Carnë Draug <carandraug@octave.org> parents: 19739 diff changeset	3799 p = - euler_mascheroni - 2 * log (2) + 2 * (p);
45565ecec019 New function psi to compute the digamma function. Carnë Draug <carandraug@octave.org> parents: 19739 diff changeset	3800 }
45565ecec019 New function psi to compute the digamma function. Carnë Draug <carandraug@octave.org> parents: 19739 diff changeset	3801 else
45565ecec019 New function psi to compute the digamma function. Carnë Draug <carandraug@octave.org> parents: 19739 diff changeset	3802 {
45565ecec019 New function psi to compute the digamma function. Carnë Draug <carandraug@octave.org> parents: 19739 diff changeset	3803 // adapted from XLiFE++ gammaFunctions
45565ecec019 New function psi to compute the digamma function. Carnë Draug <carandraug@octave.org> parents: 19739 diff changeset	3804
45565ecec019 New function psi to compute the digamma function. Carnë Draug <carandraug@octave.org> parents: 19739 diff changeset	3805 T zc = z;
45565ecec019 New function psi to compute the digamma function. Carnë Draug <carandraug@octave.org> parents: 19739 diff changeset	3806 // Use formula for derivative of LogGamma(z)
45565ecec019 New function psi to compute the digamma function. Carnë Draug <carandraug@octave.org> parents: 19739 diff changeset	3807 if (z < 10)
45565ecec019 New function psi to compute the digamma function. Carnë Draug <carandraug@octave.org> parents: 19739 diff changeset	3808 {
20156 bd565f3e0ecb psi: refactor to reduce code duplication. Carnë Draug <carandraug@octave.org> parents: 20155 diff changeset	3809 const signed char n = 10 - z;
bd565f3e0ecb psi: refactor to reduce code duplication. Carnë Draug <carandraug@octave.org> parents: 20155 diff changeset	3810 for (signed char k = n - 1; k >= 0; k--)
20154 45565ecec019 New function psi to compute the digamma function. Carnë Draug <carandraug@octave.org> parents: 19739 diff changeset	3811 p -= 1.0 / (k + z);
45565ecec019 New function psi to compute the digamma function. Carnë Draug <carandraug@octave.org> parents: 19739 diff changeset	3812 zc += n;
45565ecec019 New function psi to compute the digamma function. Carnë Draug <carandraug@octave.org> parents: 19739 diff changeset	3813 }
20156 bd565f3e0ecb psi: refactor to reduce code duplication. Carnë Draug <carandraug@octave.org> parents: 20155 diff changeset	3814 p += Lanczos_approximation_psi (zc);
20154 45565ecec019 New function psi to compute the digamma function. Carnë Draug <carandraug@octave.org> parents: 19739 diff changeset	3815 }
45565ecec019 New function psi to compute the digamma function. Carnë Draug <carandraug@octave.org> parents: 19739 diff changeset	3816
45565ecec019 New function psi to compute the digamma function. Carnë Draug <carandraug@octave.org> parents: 19739 diff changeset	3817 return p;
45565ecec019 New function psi to compute the digamma function. Carnë Draug <carandraug@octave.org> parents: 19739 diff changeset	3818 }
45565ecec019 New function psi to compute the digamma function. Carnë Draug <carandraug@octave.org> parents: 19739 diff changeset	3819
45565ecec019 New function psi to compute the digamma function. Carnë Draug <carandraug@octave.org> parents: 19739 diff changeset	3820 // explicit instantiations
45565ecec019 New function psi to compute the digamma function. Carnë Draug <carandraug@octave.org> parents: 19739 diff changeset	3821 template double psi<double> (const double& z);
45565ecec019 New function psi to compute the digamma function. Carnë Draug <carandraug@octave.org> parents: 19739 diff changeset	3822 template float psi<float> (const float& z);
45565ecec019 New function psi to compute the digamma function. Carnë Draug <carandraug@octave.org> parents: 19739 diff changeset	3823
20155 1fae49e34a1a psi: add support for complex numbers. Carnë Draug <carandraug@octave.org> parents: 20154 diff changeset	3824 template<class T>
1fae49e34a1a psi: add support for complex numbers. Carnë Draug <carandraug@octave.org> parents: 20154 diff changeset	3825 std::complex<T>
1fae49e34a1a psi: add support for complex numbers. Carnë Draug <carandraug@octave.org> parents: 20154 diff changeset	3826 psi (const std::complex<T>& z)
1fae49e34a1a psi: add support for complex numbers. Carnë Draug <carandraug@octave.org> parents: 20154 diff changeset	3827 {
1fae49e34a1a psi: add support for complex numbers. Carnë Draug <carandraug@octave.org> parents: 20154 diff changeset	3828 // adapted from XLiFE++ gammaFunctions
1fae49e34a1a psi: add support for complex numbers. Carnë Draug <carandraug@octave.org> parents: 20154 diff changeset	3829
1fae49e34a1a psi: add support for complex numbers. Carnë Draug <carandraug@octave.org> parents: 20154 diff changeset	3830 typedef typename std::complex<T>::value_type P;
1fae49e34a1a psi: add support for complex numbers. Carnë Draug <carandraug@octave.org> parents: 20154 diff changeset	3831
1fae49e34a1a psi: add support for complex numbers. Carnë Draug <carandraug@octave.org> parents: 20154 diff changeset	3832 P z_r = z.real ();
1fae49e34a1a psi: add support for complex numbers. Carnë Draug <carandraug@octave.org> parents: 20154 diff changeset	3833 P z_ra = z_r;
1fae49e34a1a psi: add support for complex numbers. Carnë Draug <carandraug@octave.org> parents: 20154 diff changeset	3834
20156 bd565f3e0ecb psi: refactor to reduce code duplication. Carnë Draug <carandraug@octave.org> parents: 20155 diff changeset	3835 std::complex<T> dgam (0.0, 0.0);
20155 1fae49e34a1a psi: add support for complex numbers. Carnë Draug <carandraug@octave.org> parents: 20154 diff changeset	3836 if (z.imag () == 0)
20156 bd565f3e0ecb psi: refactor to reduce code duplication. Carnë Draug <carandraug@octave.org> parents: 20155 diff changeset	3837 dgam = std::complex<T> (psi (z_r), 0.0);
20155 1fae49e34a1a psi: add support for complex numbers. Carnë Draug <carandraug@octave.org> parents: 20154 diff changeset	3838 else if (z_r < 0)
20156 bd565f3e0ecb psi: refactor to reduce code duplication. Carnë Draug <carandraug@octave.org> parents: 20155 diff changeset	3839 dgam = psi (P (1.0) - z)- (P (pi) / tan (P (pi) * z));
20155 1fae49e34a1a psi: add support for complex numbers. Carnë Draug <carandraug@octave.org> parents: 20154 diff changeset	3840 else
1fae49e34a1a psi: add support for complex numbers. Carnë Draug <carandraug@octave.org> parents: 20154 diff changeset	3841 {
1fae49e34a1a psi: add support for complex numbers. Carnë Draug <carandraug@octave.org> parents: 20154 diff changeset	3842 // Use formula for derivative of LogGamma(z)
20156 bd565f3e0ecb psi: refactor to reduce code duplication. Carnë Draug <carandraug@octave.org> parents: 20155 diff changeset	3843 std::complex<T> z_m = z;
20155 1fae49e34a1a psi: add support for complex numbers. Carnë Draug <carandraug@octave.org> parents: 20154 diff changeset	3844 if (z_ra < 8)
1fae49e34a1a psi: add support for complex numbers. Carnë Draug <carandraug@octave.org> parents: 20154 diff changeset	3845 {
20156 bd565f3e0ecb psi: refactor to reduce code duplication. Carnë Draug <carandraug@octave.org> parents: 20155 diff changeset	3846 unsigned char n = 8 - z_ra;
bd565f3e0ecb psi: refactor to reduce code duplication. Carnë Draug <carandraug@octave.org> parents: 20155 diff changeset	3847 z_m = z + std::complex<T> (n, 0.0);
bd565f3e0ecb psi: refactor to reduce code duplication. Carnë Draug <carandraug@octave.org> parents: 20155 diff changeset	3848
bd565f3e0ecb psi: refactor to reduce code duplication. Carnë Draug <carandraug@octave.org> parents: 20155 diff changeset	3849 // Recurrence formula
bd565f3e0ecb psi: refactor to reduce code duplication. Carnë Draug <carandraug@octave.org> parents: 20155 diff changeset	3850 // for \| Re(z) \| < 8 , use recursively DiGamma(z) = DiGamma(z+1) - 1/z
bd565f3e0ecb psi: refactor to reduce code duplication. Carnë Draug <carandraug@octave.org> parents: 20155 diff changeset	3851 std::complex<T> z_p = z + P (n - 1);
bd565f3e0ecb psi: refactor to reduce code duplication. Carnë Draug <carandraug@octave.org> parents: 20155 diff changeset	3852 for (unsigned char k = n; k > 0; k--, z_p -= 1.0)
bd565f3e0ecb psi: refactor to reduce code duplication. Carnë Draug <carandraug@octave.org> parents: 20155 diff changeset	3853 dgam -= P (1.0) / z_p;
20155 1fae49e34a1a psi: add support for complex numbers. Carnë Draug <carandraug@octave.org> parents: 20154 diff changeset	3854 }
1fae49e34a1a psi: add support for complex numbers. Carnë Draug <carandraug@octave.org> parents: 20154 diff changeset	3855
1fae49e34a1a psi: add support for complex numbers. Carnë Draug <carandraug@octave.org> parents: 20154 diff changeset	3856 // for \| Re(z) \| > 8, use derivative of C.Lanczos expansion for LogGamma
1fae49e34a1a psi: add support for complex numbers. Carnë Draug <carandraug@octave.org> parents: 20154 diff changeset	3857 // psi(z) = log(z) - 1/(2z) - 1/12z^2 + 3/360z^4 - 5/1260z^6 + 7/1680z^8 - 9/1188z^10 + ...
1fae49e34a1a psi: add support for complex numbers. Carnë Draug <carandraug@octave.org> parents: 20154 diff changeset	3858 // (Abramowitz&Stegun, page 259, formula 6.3.18
20156 bd565f3e0ecb psi: refactor to reduce code duplication. Carnë Draug <carandraug@octave.org> parents: 20155 diff changeset	3859 dgam += Lanczos_approximation_psi (z_m);
20155 1fae49e34a1a psi: add support for complex numbers. Carnë Draug <carandraug@octave.org> parents: 20154 diff changeset	3860 }
20156 bd565f3e0ecb psi: refactor to reduce code duplication. Carnë Draug <carandraug@octave.org> parents: 20155 diff changeset	3861 return dgam;
20155 1fae49e34a1a psi: add support for complex numbers. Carnë Draug <carandraug@octave.org> parents: 20154 diff changeset	3862 }
1fae49e34a1a psi: add support for complex numbers. Carnë Draug <carandraug@octave.org> parents: 20154 diff changeset	3863
1fae49e34a1a psi: add support for complex numbers. Carnë Draug <carandraug@octave.org> parents: 20154 diff changeset	3864 // explicit instantiations
1fae49e34a1a psi: add support for complex numbers. Carnë Draug <carandraug@octave.org> parents: 20154 diff changeset	3865 template Complex psi<double> (const Complex& z);
1fae49e34a1a psi: add support for complex numbers. Carnë Draug <carandraug@octave.org> parents: 20154 diff changeset	3866 template FloatComplex psi<float> (const FloatComplex& z);
20161 65e22ba879f0 psi: add support to compute the polygamma function (kth-derivative). Carnë Draug <carandraug@octave.org> parents: 20156 diff changeset	3867
65e22ba879f0 psi: add support to compute the polygamma function (kth-derivative). Carnë Draug <carandraug@octave.org> parents: 20156 diff changeset	3868
65e22ba879f0 psi: add support to compute the polygamma function (kth-derivative). Carnë Draug <carandraug@octave.org> parents: 20156 diff changeset	3869 template<typename T>
65e22ba879f0 psi: add support to compute the polygamma function (kth-derivative). Carnë Draug <carandraug@octave.org> parents: 20156 diff changeset	3870 static inline void
65e22ba879f0 psi: add support to compute the polygamma function (kth-derivative). Carnë Draug <carandraug@octave.org> parents: 20156 diff changeset	3871 fortran_psifn (const T z, const octave_idx_type n, T* ans,
65e22ba879f0 psi: add support to compute the polygamma function (kth-derivative). Carnë Draug <carandraug@octave.org> parents: 20156 diff changeset	3872 octave_idx_type* ierr);
65e22ba879f0 psi: add support to compute the polygamma function (kth-derivative). Carnë Draug <carandraug@octave.org> parents: 20156 diff changeset	3873
65e22ba879f0 psi: add support to compute the polygamma function (kth-derivative). Carnë Draug <carandraug@octave.org> parents: 20156 diff changeset	3874 template<>
65e22ba879f0 psi: add support to compute the polygamma function (kth-derivative). Carnë Draug <carandraug@octave.org> parents: 20156 diff changeset	3875 inline void
65e22ba879f0 psi: add support to compute the polygamma function (kth-derivative). Carnë Draug <carandraug@octave.org> parents: 20156 diff changeset	3876 fortran_psifn<double> (const double z, const octave_idx_type n,
65e22ba879f0 psi: add support to compute the polygamma function (kth-derivative). Carnë Draug <carandraug@octave.org> parents: 20156 diff changeset	3877 double* ans, octave_idx_type* ierr)
65e22ba879f0 psi: add support to compute the polygamma function (kth-derivative). Carnë Draug <carandraug@octave.org> parents: 20156 diff changeset	3878 {
65e22ba879f0 psi: add support to compute the polygamma function (kth-derivative). Carnë Draug <carandraug@octave.org> parents: 20156 diff changeset	3879 octave_idx_type flag = 0;
65e22ba879f0 psi: add support to compute the polygamma function (kth-derivative). Carnë Draug <carandraug@octave.org> parents: 20156 diff changeset	3880 F77_XFCN (dpsifn, DPSIFN, (&z, n, 1, 1, ans, &flag, ierr));
65e22ba879f0 psi: add support to compute the polygamma function (kth-derivative). Carnë Draug <carandraug@octave.org> parents: 20156 diff changeset	3881 }
65e22ba879f0 psi: add support to compute the polygamma function (kth-derivative). Carnë Draug <carandraug@octave.org> parents: 20156 diff changeset	3882
65e22ba879f0 psi: add support to compute the polygamma function (kth-derivative). Carnë Draug <carandraug@octave.org> parents: 20156 diff changeset	3883 template<>
65e22ba879f0 psi: add support to compute the polygamma function (kth-derivative). Carnë Draug <carandraug@octave.org> parents: 20156 diff changeset	3884 inline void
65e22ba879f0 psi: add support to compute the polygamma function (kth-derivative). Carnë Draug <carandraug@octave.org> parents: 20156 diff changeset	3885 fortran_psifn<float> (const float z, const octave_idx_type n,
65e22ba879f0 psi: add support to compute the polygamma function (kth-derivative). Carnë Draug <carandraug@octave.org> parents: 20156 diff changeset	3886 float* ans, octave_idx_type* ierr)
65e22ba879f0 psi: add support to compute the polygamma function (kth-derivative). Carnë Draug <carandraug@octave.org> parents: 20156 diff changeset	3887 {
65e22ba879f0 psi: add support to compute the polygamma function (kth-derivative). Carnë Draug <carandraug@octave.org> parents: 20156 diff changeset	3888 octave_idx_type flag = 0;
65e22ba879f0 psi: add support to compute the polygamma function (kth-derivative). Carnë Draug <carandraug@octave.org> parents: 20156 diff changeset	3889 F77_XFCN (psifn, PSIFN, (&z, n, 1, 1, ans, &flag, ierr));
65e22ba879f0 psi: add support to compute the polygamma function (kth-derivative). Carnë Draug <carandraug@octave.org> parents: 20156 diff changeset	3890 }
65e22ba879f0 psi: add support to compute the polygamma function (kth-derivative). Carnë Draug <carandraug@octave.org> parents: 20156 diff changeset	3891
65e22ba879f0 psi: add support to compute the polygamma function (kth-derivative). Carnë Draug <carandraug@octave.org> parents: 20156 diff changeset	3892 template<class T>
65e22ba879f0 psi: add support to compute the polygamma function (kth-derivative). Carnë Draug <carandraug@octave.org> parents: 20156 diff changeset	3893 T
65e22ba879f0 psi: add support to compute the polygamma function (kth-derivative). Carnë Draug <carandraug@octave.org> parents: 20156 diff changeset	3894 psi (const octave_idx_type n, const T z)
65e22ba879f0 psi: add support to compute the polygamma function (kth-derivative). Carnë Draug <carandraug@octave.org> parents: 20156 diff changeset	3895 {
65e22ba879f0 psi: add support to compute the polygamma function (kth-derivative). Carnë Draug <carandraug@octave.org> parents: 20156 diff changeset	3896 T ans;
65e22ba879f0 psi: add support to compute the polygamma function (kth-derivative). Carnë Draug <carandraug@octave.org> parents: 20156 diff changeset	3897 octave_idx_type ierr = 0;
65e22ba879f0 psi: add support to compute the polygamma function (kth-derivative). Carnë Draug <carandraug@octave.org> parents: 20156 diff changeset	3898 fortran_psifn<T> (z, n, &ans, &ierr);
65e22ba879f0 psi: add support to compute the polygamma function (kth-derivative). Carnë Draug <carandraug@octave.org> parents: 20156 diff changeset	3899 if (ierr == 0)
65e22ba879f0 psi: add support to compute the polygamma function (kth-derivative). Carnë Draug <carandraug@octave.org> parents: 20156 diff changeset	3900 {
65e22ba879f0 psi: add support to compute the polygamma function (kth-derivative). Carnë Draug <carandraug@octave.org> parents: 20156 diff changeset	3901 // Remember that psifn and dpsifn return scales values
65e22ba879f0 psi: add support to compute the polygamma function (kth-derivative). Carnë Draug <carandraug@octave.org> parents: 20156 diff changeset	3902 // When n is 1: do nothing since ((-1)**(n+1)/gamma(n+1)) == 1
65e22ba879f0 psi: add support to compute the polygamma function (kth-derivative). Carnë Draug <carandraug@octave.org> parents: 20156 diff changeset	3903 // When n is 0: change sign since ((-1)**(n+1)/gamma(n+1)) == -1
65e22ba879f0 psi: add support to compute the polygamma function (kth-derivative). Carnë Draug <carandraug@octave.org> parents: 20156 diff changeset	3904 if (n > 1)
65e22ba879f0 psi: add support to compute the polygamma function (kth-derivative). Carnë Draug <carandraug@octave.org> parents: 20156 diff changeset	3905 // FIXME xgamma here is a killer for our precision since it grows
65e22ba879f0 psi: add support to compute the polygamma function (kth-derivative). Carnë Draug <carandraug@octave.org> parents: 20156 diff changeset	3906 // way too fast
65e22ba879f0 psi: add support to compute the polygamma function (kth-derivative). Carnë Draug <carandraug@octave.org> parents: 20156 diff changeset	3907 ans = ans / (pow (-1.0, n + 1) / xgamma (double (n+1)));
65e22ba879f0 psi: add support to compute the polygamma function (kth-derivative). Carnë Draug <carandraug@octave.org> parents: 20156 diff changeset	3908 else if (n == 0)
65e22ba879f0 psi: add support to compute the polygamma function (kth-derivative). Carnë Draug <carandraug@octave.org> parents: 20156 diff changeset	3909 ans = -ans;
65e22ba879f0 psi: add support to compute the polygamma function (kth-derivative). Carnë Draug <carandraug@octave.org> parents: 20156 diff changeset	3910 }
65e22ba879f0 psi: add support to compute the polygamma function (kth-derivative). Carnë Draug <carandraug@octave.org> parents: 20156 diff changeset	3911 else if (ierr == 2)
65e22ba879f0 psi: add support to compute the polygamma function (kth-derivative). Carnë Draug <carandraug@octave.org> parents: 20156 diff changeset	3912 ans = - octave_Inf;
65e22ba879f0 psi: add support to compute the polygamma function (kth-derivative). Carnë Draug <carandraug@octave.org> parents: 20156 diff changeset	3913 else // we probably never get here
65e22ba879f0 psi: add support to compute the polygamma function (kth-derivative). Carnë Draug <carandraug@octave.org> parents: 20156 diff changeset	3914 ans = octave_NaN;
65e22ba879f0 psi: add support to compute the polygamma function (kth-derivative). Carnë Draug <carandraug@octave.org> parents: 20156 diff changeset	3915
65e22ba879f0 psi: add support to compute the polygamma function (kth-derivative). Carnë Draug <carandraug@octave.org> parents: 20156 diff changeset	3916 return ans;
65e22ba879f0 psi: add support to compute the polygamma function (kth-derivative). Carnë Draug <carandraug@octave.org> parents: 20156 diff changeset	3917 }
65e22ba879f0 psi: add support to compute the polygamma function (kth-derivative). Carnë Draug <carandraug@octave.org> parents: 20156 diff changeset	3918
65e22ba879f0 psi: add support to compute the polygamma function (kth-derivative). Carnë Draug <carandraug@octave.org> parents: 20156 diff changeset	3919 // explicit instantiations
65e22ba879f0 psi: add support to compute the polygamma function (kth-derivative). Carnë Draug <carandraug@octave.org> parents: 20156 diff changeset	3920 template double psi<double> (const octave_idx_type n, const double z);
65e22ba879f0 psi: add support to compute the polygamma function (kth-derivative). Carnë Draug <carandraug@octave.org> parents: 20156 diff changeset	3921 template float psi<float> (const octave_idx_type n, const float z);

Mercurial > octave-antonio

annotate liboctave/numeric/lo-specfun.cc @ 20161:65e22ba879f0