octave-lyh: liboctave/lo-specfun.cc annotate

annotate liboctave/lo-specfun.cc @ 14816:0a868d90436b

New function: betaincinv (bug #34364)

author	Axel Mathéi <axel.mathei@gmail.com>
date	Fri, 22 Jun 2012 16:51:31 +0200
parents	95b93a728603
children	67897baaa05f

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
14138 72c96de7a403 maint: update copyright notices for 2012 John W. Eaton <jwe@octave.org> parents: 11586 diff changeset	3 Copyright (C) 1996-2012 John W. Eaton
10391 59e34bcdff13 implement built-in erfcx Jaroslav Hajek <highegg@gmail.com> parents: 10352 diff changeset	4 Copyright (C) 2010 Jaroslav Hajek
10521 4d1fc073fbb7 add some missing copyright stmts Jaroslav Hajek <highegg@gmail.com> parents: 10414 diff changeset	5 Copyright (C) 2010 VZLU Prague
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	6
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	7 This file is part of Octave.
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 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	10 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	11 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	12 option) any later version.
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	13
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	14 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	15 ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	16 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	17 for more details.
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	18
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	19 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	20 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	21 <http://www.gnu.org/licenses/>.
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	22
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	23 */
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 #ifdef HAVE_CONFIG_H
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	26 #include <config.h>
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	27 #endif
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	28
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	29 #include "Range.h"
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	30 #include "CColVector.h"
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	31 #include "CMatrix.h"
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	32 #include "dRowVector.h"
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	33 #include "dMatrix.h"
4844 9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	34 #include "dNDArray.h"
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	35 #include "CNDArray.h"
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	36 #include "fCColVector.h"
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	37 #include "fCMatrix.h"
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	38 #include "fRowVector.h"
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	39 #include "fMatrix.h"
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	40 #include "fNDArray.h"
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	41 #include "fCNDArray.h"
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	42 #include "f77-fcn.h"
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	43 #include "lo-error.h"
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	44 #include "lo-ieee.h"
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	45 #include "lo-specfun.h"
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	46 #include "mx-inlines.cc"
5701 252b6754e545 [project @ 2006-03-21 18:15:42 by jwe] jwe parents: 5700 diff changeset	47 #include "lo-mappers.h"
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	48
4064 b4fa31442a78 [project @ 2002-09-26 21:10:45 by jwe] jwe parents: 4062 diff changeset	49 #ifndef M_PI
b4fa31442a78 [project @ 2002-09-26 21:10:45 by jwe] jwe parents: 4062 diff changeset	50 #define M_PI 3.14159265358979323846
b4fa31442a78 [project @ 2002-09-26 21:10:45 by jwe] jwe parents: 4062 diff changeset	51 #endif
b4fa31442a78 [project @ 2002-09-26 21:10:45 by jwe] jwe parents: 4062 diff changeset	52
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	53 extern "C"
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	54 {
4552 6f3382e08a52 [project @ 2003-10-27 20:38:02 by jwe] jwe parents: 4506 diff changeset	55 F77_RET_T
6f3382e08a52 [project @ 2003-10-27 20:38:02 by jwe] jwe parents: 4506 diff changeset	56 F77_FUNC (zbesj, ZBESJ) (const double&, const double&, const double&,
11518 141b3fb5cef7 style fixes John W. Eaton <jwe@octave.org> parents: 11327 diff changeset	57 const octave_idx_type&, const octave_idx_type&,
141b3fb5cef7 style fixes John W. Eaton <jwe@octave.org> parents: 11327 diff changeset	58 double, double, octave_idx_type&,
141b3fb5cef7 style fixes John W. Eaton <jwe@octave.org> parents: 11327 diff changeset	59 octave_idx_type&);
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	60
4552 6f3382e08a52 [project @ 2003-10-27 20:38:02 by jwe] jwe parents: 4506 diff changeset	61 F77_RET_T
6f3382e08a52 [project @ 2003-10-27 20:38:02 by jwe] jwe parents: 4506 diff changeset	62 F77_FUNC (zbesy, ZBESY) (const double&, const double&, const double&,
11518 141b3fb5cef7 style fixes John W. Eaton <jwe@octave.org> parents: 11327 diff changeset	63 const octave_idx_type&, const octave_idx_type&,
141b3fb5cef7 style fixes John W. Eaton <jwe@octave.org> parents: 11327 diff changeset	64 double, double, octave_idx_type&, double*,
141b3fb5cef7 style fixes John W. Eaton <jwe@octave.org> parents: 11327 diff changeset	65 double*, octave_idx_type&);
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	66
4552 6f3382e08a52 [project @ 2003-10-27 20:38:02 by jwe] jwe parents: 4506 diff changeset	67 F77_RET_T
6f3382e08a52 [project @ 2003-10-27 20:38:02 by jwe] jwe parents: 4506 diff changeset	68 F77_FUNC (zbesi, ZBESI) (const double&, const double&, const double&,
11518 141b3fb5cef7 style fixes John W. Eaton <jwe@octave.org> parents: 11327 diff changeset	69 const octave_idx_type&, const octave_idx_type&,
141b3fb5cef7 style fixes John W. Eaton <jwe@octave.org> parents: 11327 diff changeset	70 double, double, octave_idx_type&,
141b3fb5cef7 style fixes John W. Eaton <jwe@octave.org> parents: 11327 diff changeset	71 octave_idx_type&);
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	72
4552 6f3382e08a52 [project @ 2003-10-27 20:38:02 by jwe] jwe parents: 4506 diff changeset	73 F77_RET_T
6f3382e08a52 [project @ 2003-10-27 20:38:02 by jwe] jwe parents: 4506 diff changeset	74 F77_FUNC (zbesk, ZBESK) (const double&, const double&, const double&,
11518 141b3fb5cef7 style fixes John W. Eaton <jwe@octave.org> parents: 11327 diff changeset	75 const octave_idx_type&, const octave_idx_type&,
141b3fb5cef7 style fixes John W. Eaton <jwe@octave.org> parents: 11327 diff changeset	76 double, double, octave_idx_type&,
141b3fb5cef7 style fixes John W. Eaton <jwe@octave.org> parents: 11327 diff changeset	77 octave_idx_type&);
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	78
4552 6f3382e08a52 [project @ 2003-10-27 20:38:02 by jwe] jwe parents: 4506 diff changeset	79 F77_RET_T
6f3382e08a52 [project @ 2003-10-27 20:38:02 by jwe] jwe parents: 4506 diff changeset	80 F77_FUNC (zbesh, ZBESH) (const double&, const double&, const double&,
11518 141b3fb5cef7 style fixes John W. Eaton <jwe@octave.org> parents: 11327 diff changeset	81 const octave_idx_type&, const octave_idx_type&,
141b3fb5cef7 style fixes John W. Eaton <jwe@octave.org> parents: 11327 diff changeset	82 const octave_idx_type&, double, double,
141b3fb5cef7 style fixes John W. Eaton <jwe@octave.org> parents: 11327 diff changeset	83 octave_idx_type&, octave_idx_type&);
4552 6f3382e08a52 [project @ 2003-10-27 20:38:02 by jwe] jwe parents: 4506 diff changeset	84
6f3382e08a52 [project @ 2003-10-27 20:38:02 by jwe] jwe parents: 4506 diff changeset	85 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	86 F77_FUNC (cbesj, cBESJ) (const FloatComplex&, const float&,
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	87 const octave_idx_type&, const octave_idx_type&,
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	88 FloatComplex*, octave_idx_type&, octave_idx_type&);
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	89
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	90 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	91 F77_FUNC (cbesy, CBESY) (const FloatComplex&, const float&,
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	92 const octave_idx_type&, const octave_idx_type&,
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	93 FloatComplex*, octave_idx_type&,
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	94 FloatComplex*, octave_idx_type&);
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	95
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	96 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	97 F77_FUNC (cbesi, CBESI) (const FloatComplex&, const float&,
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	98 const octave_idx_type&, const octave_idx_type&,
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	99 FloatComplex*, octave_idx_type&, octave_idx_type&);
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	100
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	101 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	102 F77_FUNC (cbesk, CBESK) (const FloatComplex&, const float&,
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	103 const octave_idx_type&, const octave_idx_type&,
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	104 FloatComplex*, octave_idx_type&, octave_idx_type&);
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	105
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	106 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	107 F77_FUNC (cbesh, CBESH) (const FloatComplex&, const float&,
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	108 const octave_idx_type&, const octave_idx_type&,
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	109 const octave_idx_type&, FloatComplex*,
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	110 octave_idx_type&, octave_idx_type&);
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	111
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	112 F77_RET_T
11518 141b3fb5cef7 style fixes John W. Eaton <jwe@octave.org> parents: 11327 diff changeset	113 F77_FUNC (zairy, ZAIRY) (const double&, const double&,
141b3fb5cef7 style fixes John W. Eaton <jwe@octave.org> parents: 11327 diff changeset	114 const octave_idx_type&, const octave_idx_type&,
141b3fb5cef7 style fixes John W. Eaton <jwe@octave.org> parents: 11327 diff changeset	115 double&, double&, octave_idx_type&,
141b3fb5cef7 style fixes John W. Eaton <jwe@octave.org> parents: 11327 diff changeset	116 octave_idx_type&);
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	117
4552 6f3382e08a52 [project @ 2003-10-27 20:38:02 by jwe] jwe parents: 4506 diff changeset	118 F77_RET_T
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	119 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	120 const octave_idx_type&, float&, float&,
141b3fb5cef7 style fixes John W. Eaton <jwe@octave.org> parents: 11327 diff changeset	121 octave_idx_type&, octave_idx_type&);
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	122
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	123 F77_RET_T
11518 141b3fb5cef7 style fixes John W. Eaton <jwe@octave.org> parents: 11327 diff changeset	124 F77_FUNC (zbiry, ZBIRY) (const double&, const double&,
141b3fb5cef7 style fixes John W. Eaton <jwe@octave.org> parents: 11327 diff changeset	125 const octave_idx_type&, const octave_idx_type&,
141b3fb5cef7 style fixes John W. Eaton <jwe@octave.org> parents: 11327 diff changeset	126 double&, double&, octave_idx_type&);
4552 6f3382e08a52 [project @ 2003-10-27 20:38:02 by jwe] jwe parents: 4506 diff changeset	127
6f3382e08a52 [project @ 2003-10-27 20:38:02 by jwe] jwe parents: 4506 diff changeset	128 F77_RET_T
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	129 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	130 const octave_idx_type&, float&, float&,
141b3fb5cef7 style fixes John W. Eaton <jwe@octave.org> parents: 11327 diff changeset	131 octave_idx_type&);
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	132
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	133 F77_RET_T
4552 6f3382e08a52 [project @ 2003-10-27 20:38:02 by jwe] jwe parents: 4506 diff changeset	134 F77_FUNC (xdacosh, XDACOSH) (const double&, double&);
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	135
4552 6f3382e08a52 [project @ 2003-10-27 20:38:02 by jwe] jwe parents: 4506 diff changeset	136 F77_RET_T
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	137 F77_FUNC (xacosh, XACOSH) (const float&, float&);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	138
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	139 F77_RET_T
4552 6f3382e08a52 [project @ 2003-10-27 20:38:02 by jwe] jwe parents: 4506 diff changeset	140 F77_FUNC (xdasinh, XDASINH) (const double&, double&);
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	141
4552 6f3382e08a52 [project @ 2003-10-27 20:38:02 by jwe] jwe parents: 4506 diff changeset	142 F77_RET_T
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	143 F77_FUNC (xasinh, XASINH) (const float&, float&);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	144
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	145 F77_RET_T
4552 6f3382e08a52 [project @ 2003-10-27 20:38:02 by jwe] jwe parents: 4506 diff changeset	146 F77_FUNC (xdatanh, XDATANH) (const double&, double&);
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	147
4552 6f3382e08a52 [project @ 2003-10-27 20:38:02 by jwe] jwe parents: 4506 diff changeset	148 F77_RET_T
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	149 F77_FUNC (xatanh, XATANH) (const float&, float&);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	150
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	151 F77_RET_T
4552 6f3382e08a52 [project @ 2003-10-27 20:38:02 by jwe] jwe parents: 4506 diff changeset	152 F77_FUNC (xderf, XDERF) (const double&, double&);
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	153
4552 6f3382e08a52 [project @ 2003-10-27 20:38:02 by jwe] jwe parents: 4506 diff changeset	154 F77_RET_T
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	155 F77_FUNC (xerf, XERF) (const float&, float&);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	156
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	157 F77_RET_T
4552 6f3382e08a52 [project @ 2003-10-27 20:38:02 by jwe] jwe parents: 4506 diff changeset	158 F77_FUNC (xderfc, XDERFC) (const double&, double&);
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	159
4552 6f3382e08a52 [project @ 2003-10-27 20:38:02 by jwe] jwe parents: 4506 diff changeset	160 F77_RET_T
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	161 F77_FUNC (xerfc, XERFC) (const float&, float&);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	162
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	163 F77_RET_T
4552 6f3382e08a52 [project @ 2003-10-27 20:38:02 by jwe] jwe parents: 4506 diff changeset	164 F77_FUNC (xdbetai, XDBETAI) (const double&, const double&,
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	165 const double&, double&);
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	166
4552 6f3382e08a52 [project @ 2003-10-27 20:38:02 by jwe] jwe parents: 4506 diff changeset	167 F77_RET_T
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	168 F77_FUNC (xbetai, XBETAI) (const float&, const float&,
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	169 const float&, float&);
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	170
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	171 F77_RET_T
4552 6f3382e08a52 [project @ 2003-10-27 20:38:02 by jwe] jwe parents: 4506 diff changeset	172 F77_FUNC (xdgamma, XDGAMMA) (const double&, double&);
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	173
4552 6f3382e08a52 [project @ 2003-10-27 20:38:02 by jwe] jwe parents: 4506 diff changeset	174 F77_RET_T
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	175 F77_FUNC (xgamma, XGAMMA) (const float&, float&);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	176
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	177 F77_RET_T
4552 6f3382e08a52 [project @ 2003-10-27 20:38:02 by jwe] jwe parents: 4506 diff changeset	178 F77_FUNC (xgammainc, XGAMMAINC) (const double&, const double&, double&);
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	179
4552 6f3382e08a52 [project @ 2003-10-27 20:38:02 by jwe] jwe parents: 4506 diff changeset	180 F77_RET_T
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	181 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	182
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	183 F77_RET_T
4552 6f3382e08a52 [project @ 2003-10-27 20:38:02 by jwe] jwe parents: 4506 diff changeset	184 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	185
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	186 F77_RET_T
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	187 F77_FUNC (algams, ALGAMS) (const float&, float&, float&);
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	188 }
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	189
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	190 #if !defined (HAVE_ACOSH)
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	191 double
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	192 acosh (double x)
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	193 {
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	194 double retval;
5278 fe23ec6763b7 [project @ 2005-04-12 21:04:39 by jwe] jwe parents: 5275 diff changeset	195 F77_XFCN (xdacosh, XDACOSH, (x, retval));
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	196 return retval;
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	197 }
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	198 #endif
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	199
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	200 #if !defined (HAVE_ACOSHF)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	201 float
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	202 acoshf (float x)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	203 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	204 float retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	205 F77_XFCN (xacosh, XACOSH, (x, retval));
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	206 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	207 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	208 #endif
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	209
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	210 #if !defined (HAVE_ASINH)
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	211 double
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	212 asinh (double x)
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	213 {
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	214 double retval;
5278 fe23ec6763b7 [project @ 2005-04-12 21:04:39 by jwe] jwe parents: 5275 diff changeset	215 F77_XFCN (xdasinh, XDASINH, (x, retval));
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	216 return retval;
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	217 }
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	218 #endif
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	219
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	220 #if !defined (HAVE_ASINHF)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	221 float
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	222 asinhf (float x)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	223 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	224 float retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	225 F77_XFCN (xasinh, XASINH, (x, retval));
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	226 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	227 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	228 #endif
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	229
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	230 #if !defined (HAVE_ATANH)
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	231 double
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	232 atanh (double x)
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	233 {
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	234 double retval;
5278 fe23ec6763b7 [project @ 2005-04-12 21:04:39 by jwe] jwe parents: 5275 diff changeset	235 F77_XFCN (xdatanh, XDATANH, (x, retval));
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	236 return retval;
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	237 }
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	238 #endif
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	239
7914 e998e81224b5 Various compilation fixes for MSVC. John W. Eaton <jwe@octave.org> parents: 7789 diff changeset	240 #if !defined (HAVE_ATANHF)
e998e81224b5 Various compilation fixes for MSVC. John W. Eaton <jwe@octave.org> parents: 7789 diff changeset	241 float
e998e81224b5 Various compilation fixes for MSVC. John W. Eaton <jwe@octave.org> parents: 7789 diff changeset	242 atanhf (float x)
e998e81224b5 Various compilation fixes for MSVC. John W. Eaton <jwe@octave.org> parents: 7789 diff changeset	243 {
e998e81224b5 Various compilation fixes for MSVC. John W. Eaton <jwe@octave.org> parents: 7789 diff changeset	244 float retval;
e998e81224b5 Various compilation fixes for MSVC. John W. Eaton <jwe@octave.org> parents: 7789 diff changeset	245 F77_XFCN (xatanh, XATANH, (x, retval));
e998e81224b5 Various compilation fixes for MSVC. John W. Eaton <jwe@octave.org> parents: 7789 diff changeset	246 return retval;
e998e81224b5 Various compilation fixes for MSVC. John W. Eaton <jwe@octave.org> parents: 7789 diff changeset	247 }
e998e81224b5 Various compilation fixes for MSVC. John W. Eaton <jwe@octave.org> parents: 7789 diff changeset	248 #endif
e998e81224b5 Various compilation fixes for MSVC. John W. Eaton <jwe@octave.org> parents: 7789 diff changeset	249
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	250 #if !defined (HAVE_ERF)
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	251 double
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	252 erf (double x)
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	253 {
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	254 double retval;
5278 fe23ec6763b7 [project @ 2005-04-12 21:04:39 by jwe] jwe parents: 5275 diff changeset	255 F77_XFCN (xderf, XDERF, (x, retval));
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	256 return retval;
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	257 }
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	258 #endif
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	259
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	260 #if !defined (HAVE_ERFF)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	261 float
7914 e998e81224b5 Various compilation fixes for MSVC. John W. Eaton <jwe@octave.org> parents: 7789 diff changeset	262 erff (float x)
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	263 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	264 float retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	265 F77_XFCN (xerf, XERF, (x, retval));
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	266 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	267 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	268 #endif
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	269
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	270 #if !defined (HAVE_ERFC)
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	271 double
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	272 erfc (double x)
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	273 {
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	274 double retval;
5278 fe23ec6763b7 [project @ 2005-04-12 21:04:39 by jwe] jwe parents: 5275 diff changeset	275 F77_XFCN (xderfc, XDERFC, (x, retval));
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	276 return retval;
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	277 }
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	278 #endif
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	279
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	280 #if !defined (HAVE_ERFCF)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	281 float
7914 e998e81224b5 Various compilation fixes for MSVC. John W. Eaton <jwe@octave.org> parents: 7789 diff changeset	282 erfcf (float x)
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	283 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	284 float retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	285 F77_XFCN (xerfc, XERFC, (x, retval));
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	286 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	287 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	288 #endif
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	289
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	290 double
3156 a494f93e60ff [project @ 1998-02-20 07:47:48 by jwe] jwe parents: 3146 diff changeset	291 xgamma (double x)
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	292 {
3156 a494f93e60ff [project @ 1998-02-20 07:47:48 by jwe] jwe parents: 3146 diff changeset	293 double result;
5701 252b6754e545 [project @ 2006-03-21 18:15:42 by jwe] jwe parents: 5700 diff changeset	294
252b6754e545 [project @ 2006-03-21 18:15:42 by jwe] jwe parents: 5700 diff changeset	295 if (xisnan (x))
252b6754e545 [project @ 2006-03-21 18:15:42 by jwe] jwe parents: 5700 diff changeset	296 result = x;
252b6754e545 [project @ 2006-03-21 18:15:42 by jwe] jwe parents: 5700 diff changeset	297 else if ((x <= 0 && D_NINT (x) == x) \|\| xisinf (x))
252b6754e545 [project @ 2006-03-21 18:15:42 by jwe] jwe parents: 5700 diff changeset	298 result = octave_Inf;
252b6754e545 [project @ 2006-03-21 18:15:42 by jwe] jwe parents: 5700 diff changeset	299 else
11327 ef0e995f8c0f correctly compute gamma for negative integer values when tgamma is available Marco Atzeri <marco_atzeri@yahoo.it> parents: 10902 diff changeset	300 #if defined (HAVE_TGAMMA)
ef0e995f8c0f correctly compute gamma for negative integer values when tgamma is available Marco Atzeri <marco_atzeri@yahoo.it> parents: 10902 diff changeset	301 result = tgamma (x);
ef0e995f8c0f correctly compute gamma for negative integer values when tgamma is available Marco Atzeri <marco_atzeri@yahoo.it> parents: 10902 diff changeset	302 #else
5701 252b6754e545 [project @ 2006-03-21 18:15:42 by jwe] jwe parents: 5700 diff changeset	303 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	304 #endif
6969 0a64abe792f4 [project @ 2007-10-06 14:15:19 by jwe] jwe parents: 6961 diff changeset	305
3156 a494f93e60ff [project @ 1998-02-20 07:47:48 by jwe] jwe parents: 3146 diff changeset	306 return result;
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	307 }
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	308
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	309 double
3156 a494f93e60ff [project @ 1998-02-20 07:47:48 by jwe] jwe parents: 3146 diff changeset	310 xlgamma (double x)
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	311 {
6969 0a64abe792f4 [project @ 2007-10-06 14:15:19 by jwe] jwe parents: 6961 diff changeset	312 #if defined (HAVE_LGAMMA)
0a64abe792f4 [project @ 2007-10-06 14:15:19 by jwe] jwe parents: 6961 diff changeset	313 return lgamma (x);
0a64abe792f4 [project @ 2007-10-06 14:15:19 by jwe] jwe parents: 6961 diff changeset	314 #else
3156 a494f93e60ff [project @ 1998-02-20 07:47:48 by jwe] jwe parents: 3146 diff changeset	315 double result;
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	316 double sgngam;
4497 2a02f3a16fe0 [project @ 2003-09-04 18:48:13 by jwe] jwe parents: 4490 diff changeset	317
5701 252b6754e545 [project @ 2006-03-21 18:15:42 by jwe] jwe parents: 5700 diff changeset	318 if (xisnan (x))
252b6754e545 [project @ 2006-03-21 18:15:42 by jwe] jwe parents: 5700 diff changeset	319 result = x;
10902 9a64e02e2aad Validate input arguments for gamma, lgamma. Tatsuro MATSUOKA <tmacchant@yahoo.co.jp> parents: 10521 diff changeset	320 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	321 result = octave_Inf;
5700 67118c88cee7 [project @ 2006-03-21 17:31:45 by jwe] jwe parents: 5307 diff changeset	322 else
67118c88cee7 [project @ 2006-03-21 17:31:45 by jwe] jwe parents: 5307 diff changeset	323 F77_XFCN (dlgams, DLGAMS, (x, result, sgngam));
4497 2a02f3a16fe0 [project @ 2003-09-04 18:48:13 by jwe] jwe parents: 4490 diff changeset	324
3156 a494f93e60ff [project @ 1998-02-20 07:47:48 by jwe] jwe parents: 3146 diff changeset	325 return result;
6969 0a64abe792f4 [project @ 2007-10-06 14:15:19 by jwe] jwe parents: 6961 diff changeset	326 #endif
6961 b559b4bcf51f [project @ 2007-10-05 19:35:21 by jwe] jwe parents: 5775 diff changeset	327 }
b559b4bcf51f [project @ 2007-10-05 19:35:21 by jwe] jwe parents: 5775 diff changeset	328
7601 8a939b217863 Treat negative values to lgamma and beta correctly David Bateman <dbateman@free.fr> parents: 7176 diff changeset	329 Complex
9812 f80c566bc751 improve unary mapper system Jaroslav Hajek <highegg@gmail.com> parents: 9732 diff changeset	330 rc_lgamma (double x)
7601 8a939b217863 Treat negative values to lgamma and beta correctly David Bateman <dbateman@free.fr> parents: 7176 diff changeset	331 {
8a939b217863 Treat negative values to lgamma and beta correctly David Bateman <dbateman@free.fr> parents: 7176 diff changeset	332 double result;
8a939b217863 Treat negative values to lgamma and beta correctly David Bateman <dbateman@free.fr> parents: 7176 diff changeset	333
8a939b217863 Treat negative values to lgamma and beta correctly David Bateman <dbateman@free.fr> parents: 7176 diff changeset	334 #if defined (HAVE_LGAMMA_R)
8a939b217863 Treat negative values to lgamma and beta correctly David Bateman <dbateman@free.fr> parents: 7176 diff changeset	335 int sgngam;
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11574 diff changeset	336 result = lgamma_r (x, &sgngam);
7601 8a939b217863 Treat negative values to lgamma and beta correctly David Bateman <dbateman@free.fr> parents: 7176 diff changeset	337 #else
8a939b217863 Treat negative values to lgamma and beta correctly David Bateman <dbateman@free.fr> parents: 7176 diff changeset	338 double sgngam;
8a939b217863 Treat negative values to lgamma and beta correctly David Bateman <dbateman@free.fr> parents: 7176 diff changeset	339
8a939b217863 Treat negative values to lgamma and beta correctly David Bateman <dbateman@free.fr> parents: 7176 diff changeset	340 if (xisnan (x))
8a939b217863 Treat negative values to lgamma and beta correctly David Bateman <dbateman@free.fr> parents: 7176 diff changeset	341 result = x;
10902 9a64e02e2aad Validate input arguments for gamma, lgamma. Tatsuro MATSUOKA <tmacchant@yahoo.co.jp> parents: 10521 diff changeset	342 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	343 result = octave_Inf;
8a939b217863 Treat negative values to lgamma and beta correctly David Bateman <dbateman@free.fr> parents: 7176 diff changeset	344 else
8a939b217863 Treat negative values to lgamma and beta correctly David Bateman <dbateman@free.fr> parents: 7176 diff changeset	345 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	346
8a939b217863 Treat negative values to lgamma and beta correctly David Bateman <dbateman@free.fr> parents: 7176 diff changeset	347 #endif
8a939b217863 Treat negative values to lgamma and beta correctly David Bateman <dbateman@free.fr> parents: 7176 diff changeset	348
8a939b217863 Treat negative values to lgamma and beta correctly David Bateman <dbateman@free.fr> parents: 7176 diff changeset	349 if (sgngam < 0)
8a939b217863 Treat negative values to lgamma and beta correctly David Bateman <dbateman@free.fr> parents: 7176 diff changeset	350 return result + Complex (0., M_PI);
8a939b217863 Treat negative values to lgamma and beta correctly David Bateman <dbateman@free.fr> parents: 7176 diff changeset	351 else
8a939b217863 Treat negative values to lgamma and beta correctly David Bateman <dbateman@free.fr> parents: 7176 diff changeset	352 return result;
8a939b217863 Treat negative values to lgamma and beta correctly David Bateman <dbateman@free.fr> parents: 7176 diff changeset	353 }
8a939b217863 Treat negative values to lgamma and beta correctly David Bateman <dbateman@free.fr> parents: 7176 diff changeset	354
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	355 float
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	356 xgamma (float x)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	357 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	358 float result;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	359
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	360 if (xisnan (x))
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	361 result = x;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	362 else if ((x <= 0 && D_NINT (x) == x) \|\| xisinf (x))
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	363 result = octave_Float_Inf;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	364 else
11327 ef0e995f8c0f correctly compute gamma for negative integer values when tgamma is available Marco Atzeri <marco_atzeri@yahoo.it> parents: 10902 diff changeset	365 #if defined (HAVE_TGAMMAF)
ef0e995f8c0f correctly compute gamma for negative integer values when tgamma is available Marco Atzeri <marco_atzeri@yahoo.it> parents: 10902 diff changeset	366 result = tgammaf (x);
ef0e995f8c0f correctly compute gamma for negative integer values when tgamma is available Marco Atzeri <marco_atzeri@yahoo.it> parents: 10902 diff changeset	367 #else
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	368 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	369 #endif
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	370
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	371 return result;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	372 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	373
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	374 float
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	375 xlgamma (float x)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	376 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	377 #if defined (HAVE_LGAMMAF)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	378 return lgammaf (x);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	379 #else
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	380 float result;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	381 float sgngam;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	382
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	383 if (xisnan (x))
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	384 result = x;
10902 9a64e02e2aad Validate input arguments for gamma, lgamma. Tatsuro MATSUOKA <tmacchant@yahoo.co.jp> parents: 10521 diff changeset	385 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	386 result = octave_Float_Inf;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	387 else
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	388 F77_XFCN (algams, ALGAMS, (x, result, sgngam));
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	389
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	390 return result;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	391 #endif
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	392 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	393
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	394 FloatComplex
9812 f80c566bc751 improve unary mapper system Jaroslav Hajek <highegg@gmail.com> parents: 9732 diff changeset	395 rc_lgamma (float x)
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	396 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	397 float result;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	398
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	399 #if defined (HAVE_LGAMMAF_R)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	400 int sgngam;
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11574 diff changeset	401 result = lgammaf_r (x, &sgngam);
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	402 #else
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	403 float sgngam;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	404
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	405 if (xisnan (x))
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	406 result = x;
10902 9a64e02e2aad Validate input arguments for gamma, lgamma. Tatsuro MATSUOKA <tmacchant@yahoo.co.jp> parents: 10521 diff changeset	407 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	408 result = octave_Float_Inf;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	409 else
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	410 F77_XFCN (algams, ALGAMS, (x, result, sgngam));
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	411
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	412 #endif
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	413
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	414 if (sgngam < 0)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	415 return result + FloatComplex (0., M_PI);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	416 else
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	417 return result;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	418 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	419
7638 2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	420 #if !defined (HAVE_EXPM1)
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	421 double
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	422 expm1 (double x)
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	423 {
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	424 double retval;
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	425
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	426 double ax = fabs (x);
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	427
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	428 if (ax < 0.1)
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	429 {
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	430 ax /= 16;
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	431
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	432 // use Taylor series to calculate exp(x)-1.
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	433 double t = ax;
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11574 diff changeset	434 double s = 0;
7638 2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	435 for (int i = 2; i < 7; i++)
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	436 s += (t *= ax/i);
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	437 s += ax;
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	438
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	439 // 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	440 double e = s;
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	441 for (int i = 0; i < 4; i++)
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	442 {
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	443 s *= e + 2;
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	444 e *= e + 2;
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	445 }
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	446
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	447 retval = (x > 0) ? s : -s / (1+s);
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	448 }
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	449 else
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	450 retval = exp (x) - 1;
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	451
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	452 return retval;
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	453 }
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	454 #endif
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	455
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11574 diff changeset	456 Complex
7638 2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	457 expm1(const Complex& x)
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	458 {
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	459 Complex retval;
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	460
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	461 if (std:: abs (x) < 1)
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	462 {
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	463 double im = x.imag();
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	464 double u = expm1 (x.real ());
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	465 double v = sin (im/2);
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	466 v = -2vv;
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	467 retval = Complex (uv + u + v, (u+1) sin (im));
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	468 }
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	469 else
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	470 retval = std::exp (x) - Complex (1);
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	471
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	472 return retval;
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	473 }
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	474
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	475 #if !defined (HAVE_EXPM1F)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	476 float
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	477 expm1f (float x)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	478 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	479 float retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	480
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	481 float ax = fabs (x);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	482
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	483 if (ax < 0.1)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	484 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	485 ax /= 16;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	486
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	487 // use Taylor series to calculate exp(x)-1.
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	488 float t = ax;
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11574 diff changeset	489 float s = 0;
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	490 for (int i = 2; i < 7; i++)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	491 s += (t *= ax/i);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	492 s += ax;
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 // 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	495 float e = s;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	496 for (int i = 0; i < 4; i++)
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 s *= e + 2;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	499 e *= e + 2;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	500 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	501
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	502 retval = (x > 0) ? s : -s / (1+s);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	503 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	504 else
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	505 retval = exp (x) - 1;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	506
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	507 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	508 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	509 #endif
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	510
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11574 diff changeset	511 FloatComplex
9812 f80c566bc751 improve unary mapper system Jaroslav Hajek <highegg@gmail.com> parents: 9732 diff changeset	512 expm1(const FloatComplex& x)
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	513 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	514 FloatComplex retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	515
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	516 if (std:: abs (x) < 1)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	517 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	518 float im = x.imag();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	519 float u = expm1 (x.real ());
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	520 float v = sin (im/2);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	521 v = -2vv;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	522 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	523 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	524 else
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	525 retval = std::exp (x) - FloatComplex (1);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	526
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	527 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	528 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	529
7638 2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	530 #if !defined (HAVE_LOG1P)
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	531 double
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	532 log1p (double x)
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	533 {
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	534 double retval;
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	535
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	536 double ax = fabs (x);
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	537
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	538 if (ax < 0.2)
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 approximation log (1+x) ~ 2*sum ((x/(2+x)).^ii ./ ii), ii = 1:2:2n+1
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	541 double u = x / (2 + x), t = 1, s = 0;
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	542 for (int i = 2; i < 12; i += 2)
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	543 s += (t = uu) / (i+1);
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	544
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	545 retval = 2 * (s + 1) * u;
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 else
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	548 retval = log (1 + x);
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 return retval;
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	551 }
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	552 #endif
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	553
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11574 diff changeset	554 Complex
7638 2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	555 log1p (const Complex& x)
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	556 {
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	557 Complex retval;
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	558
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	559 double r = x.real (), i = x.imag();
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	560
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	561 if (fabs (r) < 0.5 && fabs (i) < 0.5)
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	562 {
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	563 double u = 2r + rr + i*i;
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	564 retval = Complex (log1p (u / (1+sqrt (u+1))),
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	565 atan2 (1 + r, i));
7638 2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	566 }
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	567 else
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	568 retval = std::log (Complex(1) + x);
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 return retval;
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	571 }
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	572
10414 2a8b1db1e2ca implement built-in cbrt Jaroslav Hajek <highegg@gmail.com> parents: 10391 diff changeset	573 #if !defined (HAVE_CBRT)
2a8b1db1e2ca implement built-in cbrt Jaroslav Hajek <highegg@gmail.com> parents: 10391 diff changeset	574 double cbrt (double x)
2a8b1db1e2ca implement built-in cbrt Jaroslav Hajek <highegg@gmail.com> parents: 10391 diff changeset	575 {
2a8b1db1e2ca implement built-in cbrt Jaroslav Hajek <highegg@gmail.com> parents: 10391 diff changeset	576 static const double one_third = 0.3333333333333333333;
2a8b1db1e2ca implement built-in cbrt Jaroslav Hajek <highegg@gmail.com> parents: 10391 diff changeset	577 if (xfinite (x))
2a8b1db1e2ca implement built-in cbrt Jaroslav Hajek <highegg@gmail.com> parents: 10391 diff changeset	578 {
2a8b1db1e2ca implement built-in cbrt Jaroslav Hajek <highegg@gmail.com> parents: 10391 diff changeset	579 // Use pow.
2a8b1db1e2ca implement built-in cbrt Jaroslav Hajek <highegg@gmail.com> parents: 10391 diff changeset	580 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	581 // Correct for better accuracy.
2a8b1db1e2ca implement built-in cbrt Jaroslav Hajek <highegg@gmail.com> parents: 10391 diff changeset	582 return (x / (y*y) + y + y) / 3;
2a8b1db1e2ca implement built-in cbrt Jaroslav Hajek <highegg@gmail.com> parents: 10391 diff changeset	583 }
2a8b1db1e2ca implement built-in cbrt Jaroslav Hajek <highegg@gmail.com> parents: 10391 diff changeset	584 else
2a8b1db1e2ca implement built-in cbrt Jaroslav Hajek <highegg@gmail.com> parents: 10391 diff changeset	585 return x;
2a8b1db1e2ca implement built-in cbrt Jaroslav Hajek <highegg@gmail.com> parents: 10391 diff changeset	586 }
2a8b1db1e2ca implement built-in cbrt Jaroslav Hajek <highegg@gmail.com> parents: 10391 diff changeset	587 #endif
2a8b1db1e2ca implement built-in cbrt Jaroslav Hajek <highegg@gmail.com> parents: 10391 diff changeset	588
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	589 #if !defined (HAVE_LOG1PF)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	590 float
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	591 log1pf (float x)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	592 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	593 float retval;
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 float ax = fabs (x);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	596
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	597 if (ax < 0.2)
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 // use approximation log (1+x) ~ 2*sum ((x/(2+x)).^ii ./ ii), ii = 1:2:2n+1
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	600 float u = x / (2 + x), t = 1, s = 0;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	601 for (int i = 2; i < 12; i += 2)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	602 s += (t = uu) / (i+1);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	603
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	604 retval = 2 * (s + 1) * u;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	605 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	606 else
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	607 retval = log (1 + x);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	608
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	609 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	610 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	611 #endif
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	612
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11574 diff changeset	613 FloatComplex
9812 f80c566bc751 improve unary mapper system Jaroslav Hajek <highegg@gmail.com> parents: 9732 diff changeset	614 log1p (const FloatComplex& x)
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	615 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	616 FloatComplex retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	617
14816 0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	618 float r = x.real (), i = x.imag ();
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	619
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	620 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	621 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	622 float u = 2r + rr + i*i;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	623 retval = FloatComplex (log1p (u / (1+sqrt (u+1))),
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	624 atan2 (1 + r, i));
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	625 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	626 else
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	627 retval = std::log (FloatComplex(1) + x);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	628
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	629 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	630 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	631
10414 2a8b1db1e2ca implement built-in cbrt Jaroslav Hajek <highegg@gmail.com> parents: 10391 diff changeset	632 #if !defined (HAVE_CBRTF)
2a8b1db1e2ca implement built-in cbrt Jaroslav Hajek <highegg@gmail.com> parents: 10391 diff changeset	633 float cbrtf (float x)
2a8b1db1e2ca implement built-in cbrt Jaroslav Hajek <highegg@gmail.com> parents: 10391 diff changeset	634 {
2a8b1db1e2ca implement built-in cbrt Jaroslav Hajek <highegg@gmail.com> parents: 10391 diff changeset	635 static const float one_third = 0.3333333333333333333f;
2a8b1db1e2ca implement built-in cbrt Jaroslav Hajek <highegg@gmail.com> parents: 10391 diff changeset	636 if (xfinite (x))
2a8b1db1e2ca implement built-in cbrt Jaroslav Hajek <highegg@gmail.com> parents: 10391 diff changeset	637 {
2a8b1db1e2ca implement built-in cbrt Jaroslav Hajek <highegg@gmail.com> parents: 10391 diff changeset	638 // Use pow.
2a8b1db1e2ca implement built-in cbrt Jaroslav Hajek <highegg@gmail.com> parents: 10391 diff changeset	639 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	640 // Correct for better accuracy.
2a8b1db1e2ca implement built-in cbrt Jaroslav Hajek <highegg@gmail.com> parents: 10391 diff changeset	641 return (x / (y*y) + y + y) / 3;
2a8b1db1e2ca implement built-in cbrt Jaroslav Hajek <highegg@gmail.com> parents: 10391 diff changeset	642 }
2a8b1db1e2ca implement built-in cbrt Jaroslav Hajek <highegg@gmail.com> parents: 10391 diff changeset	643 else
2a8b1db1e2ca implement built-in cbrt Jaroslav Hajek <highegg@gmail.com> parents: 10391 diff changeset	644 return x;
2a8b1db1e2ca implement built-in cbrt Jaroslav Hajek <highegg@gmail.com> parents: 10391 diff changeset	645 }
2a8b1db1e2ca implement built-in cbrt Jaroslav Hajek <highegg@gmail.com> parents: 10391 diff changeset	646 #endif
2a8b1db1e2ca implement built-in cbrt Jaroslav Hajek <highegg@gmail.com> parents: 10391 diff changeset	647
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	648 static inline Complex
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	649 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	650
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	651 static inline Complex
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	652 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	653
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	654 static inline Complex
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	655 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	656
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	657 static inline Complex
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	658 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	659
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	660 static inline Complex
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	661 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	662
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	663 static inline Complex
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	664 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	665
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	666 static inline Complex
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	667 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	668 {
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	669 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	670 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	671
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	672 Complex retval;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	673
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	674 switch (ierr)
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	675 {
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	676 case 0:
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	677 case 3:
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	678 retval = val;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	679 break;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	680
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	681 case 2:
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	682 retval = inf_val;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	683 break;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	684
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	685 default:
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	686 retval = nan_val;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	687 break;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	688 }
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	689
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	690 return retval;
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	691 }
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	692
4911 14027e0bafa4 [project @ 2004-07-22 19:58:06 by jwe] jwe parents: 4844 diff changeset	693 static inline bool
14027e0bafa4 [project @ 2004-07-22 19:58:06 by jwe] jwe parents: 4844 diff changeset	694 is_integer_value (double x)
14027e0bafa4 [project @ 2004-07-22 19:58:06 by jwe] jwe parents: 4844 diff changeset	695 {
14027e0bafa4 [project @ 2004-07-22 19:58:06 by jwe] jwe parents: 4844 diff changeset	696 return x == static_cast<double> (static_cast<long> (x));
14027e0bafa4 [project @ 2004-07-22 19:58:06 by jwe] jwe parents: 4844 diff changeset	697 }
14027e0bafa4 [project @ 2004-07-22 19:58:06 by jwe] jwe parents: 4844 diff changeset	698
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	699 static inline Complex
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	700 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	701 {
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	702 Complex retval;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	703
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	704 if (alpha >= 0.0)
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	705 {
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	706 double yr = 0.0;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	707 double yi = 0.0;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	708
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	709 octave_idx_type nz;
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	710
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	711 double zr = z.real ();
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	712 double zi = z.imag ();
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	713
4506 3c82fc8f822c [project @ 2003-09-10 13:56:57 by jwe] jwe parents: 4497 diff changeset	714 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	715
3c82fc8f822c [project @ 2003-09-10 13:56:57 by jwe] jwe parents: 4497 diff changeset	716 if (kode != 2)
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	717 {
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11574 diff changeset	718 double expz = exp (std::abs (zi));
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	719 yr *= expz;
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	720 yi *= expz;
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	721 }
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	722
4490 1aed172ab84a [project @ 2003-08-28 19:03:06 by jwe] jwe parents: 4180 diff changeset	723 if (zi == 0.0 && zr >= 0.0)
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	724 yi = 0.0;
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	725
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	726 retval = bessel_return_value (Complex (yr, yi), ierr);
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	727 }
4911 14027e0bafa4 [project @ 2004-07-22 19:58:06 by jwe] jwe parents: 4844 diff changeset	728 else if (is_integer_value (alpha))
14027e0bafa4 [project @ 2004-07-22 19:58:06 by jwe] jwe parents: 4844 diff changeset	729 {
14027e0bafa4 [project @ 2004-07-22 19:58:06 by jwe] jwe parents: 4844 diff changeset	730 // 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	731 alpha = -alpha;
14027e0bafa4 [project @ 2004-07-22 19:58:06 by jwe] jwe parents: 4844 diff changeset	732 Complex tmp = zbesj (z, alpha, kode, ierr);
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11574 diff changeset	733 if ((static_cast <long> (alpha)) & 1)
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	734 tmp = - tmp;
4911 14027e0bafa4 [project @ 2004-07-22 19:58:06 by jwe] jwe parents: 4844 diff changeset	735 retval = bessel_return_value (tmp, ierr);
14027e0bafa4 [project @ 2004-07-22 19:58:06 by jwe] jwe parents: 4844 diff changeset	736 }
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	737 else
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	738 {
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	739 alpha = -alpha;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	740
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	741 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	742
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	743 if (ierr == 0 \|\| ierr == 3)
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	744 {
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	745 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	746
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	747 retval = bessel_return_value (tmp, ierr);
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	748 }
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	749 else
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	750 retval = Complex (octave_NaN, octave_NaN);
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
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	753 return retval;
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	754 }
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	755
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	756 static inline Complex
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	757 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	758 {
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	759 Complex retval;
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	760
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	761 if (alpha >= 0.0)
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	762 {
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	763 double yr = 0.0;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	764 double yi = 0.0;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	765
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	766 octave_idx_type nz;
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	767
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	768 double wr, wi;
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 double zr = z.real ();
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	771 double zi = z.imag ();
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 ierr = 0;
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 if (zr == 0.0 && zi == 0.0)
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	776 {
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	777 yr = -octave_Inf;
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	778 yi = 0.0;
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	779 }
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	780 else
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	781 {
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	782 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	783 &wr, &wi, ierr);
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	784
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	785 if (kode != 2)
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	786 {
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	787 double expz = exp (std::abs (zi));
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	788 yr *= expz;
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	789 yi *= expz;
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	790 }
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	791
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	792 if (zi == 0.0 && zr >= 0.0)
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	793 yi = 0.0;
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	794 }
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	795
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	796 return bessel_return_value (Complex (yr, yi), ierr);
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	797 }
4911 14027e0bafa4 [project @ 2004-07-22 19:58:06 by jwe] jwe parents: 4844 diff changeset	798 else if (is_integer_value (alpha - 0.5))
14027e0bafa4 [project @ 2004-07-22 19:58:06 by jwe] jwe parents: 4844 diff changeset	799 {
14027e0bafa4 [project @ 2004-07-22 19:58:06 by jwe] jwe parents: 4844 diff changeset	800 // 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	801 alpha = -alpha;
14027e0bafa4 [project @ 2004-07-22 19:58:06 by jwe] jwe parents: 4844 diff changeset	802 Complex tmp = zbesj (z, alpha, kode, ierr);
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11574 diff changeset	803 if ((static_cast <long> (alpha - 0.5)) & 1)
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	804 tmp = - tmp;
4911 14027e0bafa4 [project @ 2004-07-22 19:58:06 by jwe] jwe parents: 4844 diff changeset	805 retval = bessel_return_value (tmp, ierr);
14027e0bafa4 [project @ 2004-07-22 19:58:06 by jwe] jwe parents: 4844 diff changeset	806 }
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	807 else
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	808 {
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	809 alpha = -alpha;
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	810
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	811 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	812
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	813 if (ierr == 0 \|\| ierr == 3)
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	814 {
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	815 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	816
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	817 retval = bessel_return_value (tmp, ierr);
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	818 }
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	819 else
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	820 retval = Complex (octave_NaN, octave_NaN);
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	821 }
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	822
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	823 return retval;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	824 }
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	825
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	826 static inline Complex
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	827 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	828 {
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	829 Complex retval;
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	830
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	831 if (alpha >= 0.0)
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	832 {
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	833 double yr = 0.0;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	834 double yi = 0.0;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	835
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	836 octave_idx_type nz;
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	837
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	838 double zr = z.real ();
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	839 double zi = z.imag ();
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	840
4506 3c82fc8f822c [project @ 2003-09-10 13:56:57 by jwe] jwe parents: 4497 diff changeset	841 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	842
3c82fc8f822c [project @ 2003-09-10 13:56:57 by jwe] jwe parents: 4497 diff changeset	843 if (kode != 2)
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	844 {
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	845 double expz = exp (std::abs (zr));
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	846 yr *= expz;
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	847 yi *= expz;
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	848 }
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	849
4490 1aed172ab84a [project @ 2003-08-28 19:03:06 by jwe] jwe parents: 4180 diff changeset	850 if (zi == 0.0 && zr >= 0.0)
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	851 yi = 0.0;
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 retval = bessel_return_value (Complex (yr, yi), ierr);
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	854 }
14196 35ce1eab7400 besseli: use special case for negative integer orders John W. Eaton <jwe@octave.org> parents: 14138 diff changeset	855 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	856 {
35ce1eab7400 besseli: use special case for negative integer orders John W. Eaton <jwe@octave.org> parents: 14138 diff changeset	857 // 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	858 alpha = -alpha;
35ce1eab7400 besseli: use special case for negative integer orders John W. Eaton <jwe@octave.org> parents: 14138 diff changeset	859 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	860 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	861 }
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	862 else
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	863 {
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	864 alpha = -alpha;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	865
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	866 Complex tmp = zbesi (z, alpha, kode, ierr);
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	867
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	868 if (ierr == 0 \|\| ierr == 3)
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	869 {
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	870 Complex tmp2 = (2.0 / M_PI) * sin (M_PI * alpha)
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	871 * zbesk (z, alpha, kode, ierr);
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11574 diff changeset	872
12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11574 diff changeset	873 if (kode == 2)
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	874 {
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	875 // Compensate for different scaling factor of besk.
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	876 tmp2 *= exp(-z - std::abs(z.real()));
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	877 }
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11574 diff changeset	878
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	879 tmp += tmp2;
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	880
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	881 retval = bessel_return_value (tmp, ierr);
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	882 }
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	883 else
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	884 retval = Complex (octave_NaN, octave_NaN);
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	885 }
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	886
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	887 return retval;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	888 }
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	889
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	890 static inline Complex
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	891 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	892 {
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	893 Complex retval;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	894
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	895 if (alpha >= 0.0)
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	896 {
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	897 double yr = 0.0;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	898 double yi = 0.0;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	899
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	900 octave_idx_type nz;
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	901
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	902 double zr = z.real ();
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	903 double zi = z.imag ();
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	904
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	905 ierr = 0;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	906
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	907 if (zr == 0.0 && zi == 0.0)
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	908 {
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	909 yr = octave_Inf;
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	910 yi = 0.0;
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	911 }
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	912 else
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	913 {
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	914 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	915
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	916 if (kode != 2)
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 Complex expz = exp (-z);
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	919
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	920 double rexpz = real (expz);
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	921 double iexpz = imag (expz);
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	922
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	923 double tmp = yrrexpz - yiiexpz;
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	924
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	925 yi = yriexpz + yirexpz;
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	926 yr = tmp;
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	927 }
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	928
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	929 if (zi == 0.0 && zr >= 0.0)
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	930 yi = 0.0;
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	931 }
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	932
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	933 retval = bessel_return_value (Complex (yr, yi), ierr);
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	934 }
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	935 else
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	936 {
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	937 Complex tmp = zbesk (z, -alpha, kode, ierr);
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	938
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	939 retval = bessel_return_value (tmp, ierr);
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	940 }
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	941
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	942 return retval;
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	943 }
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	944
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	945 static inline Complex
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	946 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	947 {
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	948 Complex retval;
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	949
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	950 if (alpha >= 0.0)
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	951 {
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	952 double yr = 0.0;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	953 double yi = 0.0;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	954
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	955 octave_idx_type nz;
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	956
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	957 double zr = z.real ();
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	958 double zi = z.imag ();
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	959
4506 3c82fc8f822c [project @ 2003-09-10 13:56:57 by jwe] jwe parents: 4497 diff changeset	960 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	961
3c82fc8f822c [project @ 2003-09-10 13:56:57 by jwe] jwe parents: 4497 diff changeset	962 if (kode != 2)
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	963 {
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	964 Complex expz = exp (Complex (0.0, 1.0) * z);
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	965
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	966 double rexpz = real (expz);
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	967 double iexpz = imag (expz);
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	968
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	969 double tmp = yrrexpz - yiiexpz;
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 yi = yriexpz + yirexpz;
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	972 yr = tmp;
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	973 }
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	974
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	975 retval = bessel_return_value (Complex (yr, yi), ierr);
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	976 }
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	977 else
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	978 {
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	979 alpha = -alpha;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	980
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	981 static const Complex eye = Complex (0.0, 1.0);
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	982
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	983 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	984
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	985 retval = bessel_return_value (tmp, ierr);
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	986 }
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	987
3220 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 }
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	990
3220 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 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	993 {
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	994 Complex retval;
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	995
3220 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;
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	1002
3220 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 ();
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	1005
4506 3c82fc8f822c [project @ 2003-09-10 13:56:57 by jwe] jwe parents: 4497 diff changeset	1006 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	1007
3c82fc8f822c [project @ 2003-09-10 13:56:57 by jwe] jwe parents: 4497 diff changeset	1008 if (kode != 2)
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 Complex expz = exp (-Complex (0.0, 1.0) * z);
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1011
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1012 double rexpz = real (expz);
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1013 double iexpz = imag (expz);
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 double tmp = yrrexpz - yiiexpz;
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 yi = yriexpz + yirexpz;
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1018 yr = tmp;
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1019 }
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1020
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1021 retval = bessel_return_value (Complex (yr, yi), ierr);
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	1022 }
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	1023 else
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1024 {
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1025 alpha = -alpha;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1026
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1027 static const Complex eye = Complex (0.0, 1.0);
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1028
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1029 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	1030
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1031 retval = bessel_return_value (tmp, ierr);
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1032 }
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 return retval;
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
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1037 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	1038
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1039 static inline Complex
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1040 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	1041 bool scaled, octave_idx_type& ierr)
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1042 {
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1043 Complex retval;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1044
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1045 retval = f (x, alpha, (scaled ? 2 : 1), ierr);
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1046
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1047 return retval;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1048 }
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1049
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1050 static inline ComplexMatrix
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1051 do_bessel (dptr f, const char *, double alpha, const ComplexMatrix& x,
10352 a3635bc1ea19 remove Array2 Jaroslav Hajek <highegg@gmail.com> parents: 10314 diff changeset	1052 bool scaled, Array<octave_idx_type>& ierr)
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1053 {
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	1054 octave_idx_type nr = x.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	1055 octave_idx_type nc = x.cols ();
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1056
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1057 ComplexMatrix retval (nr, nc);
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1058
11574 a83bad07f7e3 attempt better backward compatibility for Array resize functions John W. Eaton <jwe@octave.org> parents: 11523 diff changeset	1059 ierr.resize (dim_vector (nr, nc));
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1060
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	1061 for (octave_idx_type j = 0; j < nc; j++)
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	1062 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	1063 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	1064
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1065 return retval;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1066 }
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1067
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1068 static inline ComplexMatrix
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1069 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	1070 bool scaled, Array<octave_idx_type>& ierr)
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1071 {
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	1072 octave_idx_type nr = alpha.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	1073 octave_idx_type nc = alpha.cols ();
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1074
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1075 ComplexMatrix retval (nr, nc);
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1076
11574 a83bad07f7e3 attempt better backward compatibility for Array resize functions John W. Eaton <jwe@octave.org> parents: 11523 diff changeset	1077 ierr.resize (dim_vector (nr, nc));
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1078
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	1079 for (octave_idx_type j = 0; j < nc; j++)
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	1080 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	1081 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	1082
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	1083 return retval;
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	1084 }
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 static inline ComplexMatrix
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1087 do_bessel (dptr f, const char *fn, const Matrix& alpha,
10352 a3635bc1ea19 remove Array2 Jaroslav Hajek <highegg@gmail.com> parents: 10314 diff changeset	1088 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	1089 {
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1090 ComplexMatrix retval;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1091
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	1092 octave_idx_type x_nr = x.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	1093 octave_idx_type x_nc = x.cols ();
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1094
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	1095 octave_idx_type alpha_nr = alpha.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	1096 octave_idx_type alpha_nc = alpha.cols ();
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1097
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1098 if (x_nr == alpha_nr && x_nc == alpha_nc)
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1099 {
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	1100 octave_idx_type nr = x_nr;
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	1101 octave_idx_type nc = x_nc;
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1102
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1103 retval.resize (nr, nc);
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1104
11574 a83bad07f7e3 attempt better backward compatibility for Array resize functions John W. Eaton <jwe@octave.org> parents: 11523 diff changeset	1105 ierr.resize (dim_vector (nr, nc));
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1106
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	1107 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	1108 for (octave_idx_type i = 0; i < nr; i++)
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1109 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	1110 }
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1111 else
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1112 (*current_liboctave_error_handler)
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1113 ("%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	1114
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1115 return retval;
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	1116 }
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	1117
4844 9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1118 static inline ComplexNDArray
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1119 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	1120 bool scaled, Array<octave_idx_type>& ierr)
4844 9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1121 {
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1122 dim_vector dv = x.dims ();
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	1123 octave_idx_type nel = dv.numel ();
4844 9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1124 ComplexNDArray retval (dv);
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1125
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1126 ierr.resize (dv);
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1127
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	1128 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	1129 retval(i) = f (x(i), alpha, (scaled ? 2 : 1), ierr(i));
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1130
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1131 return retval;
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1132 }
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1133
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1134 static inline ComplexNDArray
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1135 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	1136 bool scaled, Array<octave_idx_type>& ierr)
4844 9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1137 {
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1138 dim_vector dv = alpha.dims ();
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	1139 octave_idx_type nel = dv.numel ();
4844 9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1140 ComplexNDArray retval (dv);
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1141
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1142 ierr.resize (dv);
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1143
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	1144 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	1145 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	1146
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1147 return retval;
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1148 }
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1149
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1150 static inline ComplexNDArray
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1151 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	1152 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	1153 {
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1154 dim_vector dv = x.dims ();
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1155 ComplexNDArray retval;
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1156
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1157 if (dv == alpha.dims ())
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1158 {
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	1159 octave_idx_type nel = dv.numel ();
4844 9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1160
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1161 retval.resize (dv);
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1162 ierr.resize (dv);
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1163
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	1164 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	1165 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	1166 }
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1167 else
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1168 (*current_liboctave_error_handler)
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1169 ("%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	1170
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1171 return retval;
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1172 }
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1173
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1174 static inline ComplexMatrix
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1175 do_bessel (dptr f, const char *, const RowVector& alpha,
10352 a3635bc1ea19 remove Array2 Jaroslav Hajek <highegg@gmail.com> parents: 10314 diff changeset	1176 const ComplexColumnVector& x, bool scaled, Array<octave_idx_type>& ierr)
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	1177 {
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	1178 octave_idx_type nr = x.length ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	1179 octave_idx_type nc = alpha.length ();
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1180
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1181 ComplexMatrix retval (nr, nc);
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	1182
11574 a83bad07f7e3 attempt better backward compatibility for Array resize functions John W. Eaton <jwe@octave.org> parents: 11523 diff changeset	1183 ierr.resize (dim_vector (nr, nc));
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1184
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	1185 for (octave_idx_type j = 0; j < nc; j++)
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	1186 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	1187 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	1188
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1189 return retval;
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	1190 }
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	1191
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1192 #define SS_BESSEL(name, fcn) \
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1193 Complex \
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	1194 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	1195 { \
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1196 return do_bessel (fcn, #name, alpha, x, scaled, ierr); \
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1197 }
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 #define SM_BESSEL(name, fcn) \
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1200 ComplexMatrix \
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1201 name (double alpha, const ComplexMatrix& x, bool scaled, \
10352 a3635bc1ea19 remove Array2 Jaroslav Hajek <highegg@gmail.com> parents: 10314 diff changeset	1202 Array<octave_idx_type>& ierr) \
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 return do_bessel (fcn, #name, alpha, x, scaled, ierr); \
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1205 }
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1206
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1207 #define MS_BESSEL(name, fcn) \
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1208 ComplexMatrix \
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1209 name (const Matrix& alpha, const Complex& x, bool scaled, \
10352 a3635bc1ea19 remove Array2 Jaroslav Hajek <highegg@gmail.com> parents: 10314 diff changeset	1210 Array<octave_idx_type>& ierr) \
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 return do_bessel (fcn, #name, alpha, x, scaled, ierr); \
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1213 }
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1214
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1215 #define MM_BESSEL(name, fcn) \
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1216 ComplexMatrix \
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1217 name (const Matrix& alpha, const ComplexMatrix& x, bool scaled, \
10352 a3635bc1ea19 remove Array2 Jaroslav Hajek <highegg@gmail.com> parents: 10314 diff changeset	1218 Array<octave_idx_type>& ierr) \
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1219 { \
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1220 return do_bessel (fcn, #name, alpha, x, scaled, ierr); \
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1221 }
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1222
4844 9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1223 #define SN_BESSEL(name, fcn) \
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1224 ComplexNDArray \
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1225 name (double alpha, const ComplexNDArray& x, bool scaled, \
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1226 Array<octave_idx_type>& ierr) \
4844 9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1227 { \
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1228 return do_bessel (fcn, #name, alpha, x, scaled, ierr); \
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1229 }
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1230
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1231 #define NS_BESSEL(name, fcn) \
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1232 ComplexNDArray \
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1233 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	1234 Array<octave_idx_type>& ierr) \
4844 9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1235 { \
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1236 return do_bessel (fcn, #name, alpha, x, scaled, ierr); \
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1237 }
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 #define NN_BESSEL(name, fcn) \
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1240 ComplexNDArray \
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1241 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	1242 Array<octave_idx_type>& ierr) \
4844 9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1243 { \
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1244 return do_bessel (fcn, #name, alpha, x, scaled, ierr); \
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1245 }
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1246
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1247 #define RC_BESSEL(name, fcn) \
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1248 ComplexMatrix \
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1249 name (const RowVector& alpha, const ComplexColumnVector& x, bool scaled, \
10352 a3635bc1ea19 remove Array2 Jaroslav Hajek <highegg@gmail.com> parents: 10314 diff changeset	1250 Array<octave_idx_type>& ierr) \
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1251 { \
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1252 return do_bessel (fcn, #name, alpha, x, scaled, ierr); \
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1253 }
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1254
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1255 #define ALL_BESSEL(name, fcn) \
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1256 SS_BESSEL (name, fcn) \
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1257 SM_BESSEL (name, fcn) \
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1258 MS_BESSEL (name, fcn) \
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1259 MM_BESSEL (name, fcn) \
4844 9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1260 SN_BESSEL (name, fcn) \
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1261 NS_BESSEL (name, fcn) \
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1262 NN_BESSEL (name, fcn) \
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1263 RC_BESSEL (name, fcn)
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1264
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1265 ALL_BESSEL (besselj, zbesj)
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1266 ALL_BESSEL (bessely, zbesy)
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1267 ALL_BESSEL (besseli, zbesi)
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1268 ALL_BESSEL (besselk, zbesk)
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1269 ALL_BESSEL (besselh1, zbesh1)
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1270 ALL_BESSEL (besselh2, zbesh2)
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1271
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1272 #undef ALL_BESSEL
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1273 #undef SS_BESSEL
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1274 #undef SM_BESSEL
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1275 #undef MS_BESSEL
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1276 #undef MM_BESSEL
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1277 #undef SN_BESSEL
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1278 #undef NS_BESSEL
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1279 #undef NN_BESSEL
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1280 #undef RC_BESSEL
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1281
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1282 static inline FloatComplex
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1283 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	1284
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1285 static inline FloatComplex
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1286 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	1287
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1288 static inline FloatComplex
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1289 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	1290
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1291 static inline FloatComplex
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1292 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	1293
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1294 static inline FloatComplex
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1295 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	1296
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1297 static inline FloatComplex
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1298 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	1299
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1300 static inline FloatComplex
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1301 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	1302 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1303 static const FloatComplex inf_val = FloatComplex (octave_Float_Inf, octave_Float_Inf);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1304 static const FloatComplex nan_val = FloatComplex (octave_Float_NaN, octave_Float_NaN);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1305
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1306 FloatComplex retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1307
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1308 switch (ierr)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1309 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1310 case 0:
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1311 case 3:
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1312 retval = val;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1313 break;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1314
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1315 case 2:
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1316 retval = inf_val;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1317 break;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1318
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1319 default:
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1320 retval = nan_val;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1321 break;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1322 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1323
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1324 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1325 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1326
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1327 static inline bool
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1328 is_integer_value (float x)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1329 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1330 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	1331 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1332
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1333 static inline FloatComplex
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1334 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	1335 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1336 FloatComplex retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1337
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1338 if (alpha >= 0.0)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1339 {
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	1340 FloatComplex y = 0.0;
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1341
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1342 octave_idx_type nz;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1343
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	1344 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	1345
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1346 if (kode != 2)
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1347 {
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1348 float expz = exp (std::abs (imag (z)));
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1349 y *= expz;
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1350 }
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1351
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	1352 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	1353 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	1354
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	1355 retval = bessel_return_value (y, ierr);
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1356 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1357 else if (is_integer_value (alpha))
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1358 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1359 // 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	1360 alpha = -alpha;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1361 FloatComplex tmp = cbesj (z, alpha, kode, ierr);
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11574 diff changeset	1362 if ((static_cast <long> (alpha)) & 1)
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1363 tmp = - tmp;
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1364 retval = bessel_return_value (tmp, ierr);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1365 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1366 else
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1367 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1368 alpha = -alpha;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1369
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1370 FloatComplex tmp = cosf (static_cast<float> (M_PI) * alpha) * cbesj (z, alpha, kode, ierr);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1371
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1372 if (ierr == 0 \|\| ierr == 3)
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1373 {
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1374 tmp -= sinf (static_cast<float> (M_PI) * alpha) * cbesy (z, alpha, kode, ierr);
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1375
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1376 retval = bessel_return_value (tmp, ierr);
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1377 }
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1378 else
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1379 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	1380 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1381
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1382 return retval;
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
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1385 static inline FloatComplex
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1386 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	1387 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1388 FloatComplex retval;
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 if (alpha >= 0.0)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1391 {
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	1392 FloatComplex y = 0.0;
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1393
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1394 octave_idx_type nz;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1395
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	1396 FloatComplex w;
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1397
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1398 ierr = 0;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1399
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	1400 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	1401 {
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1402 y = FloatComplex (-octave_Float_Inf, 0.0);
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1403 }
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1404 else
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1405 {
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1406 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	1407
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1408 if (kode != 2)
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1409 {
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1410 float expz = exp (std::abs (imag (z)));
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1411 y *= expz;
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1412 }
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1413
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1414 if (imag (z) == 0.0 && real (z) >= 0.0)
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1415 y = FloatComplex (y.real (), 0.0);
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1416 }
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1417
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	1418 return bessel_return_value (y, ierr);
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1419 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1420 else if (is_integer_value (alpha - 0.5))
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1421 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1422 // 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	1423 alpha = -alpha;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1424 FloatComplex tmp = cbesj (z, alpha, kode, ierr);
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11574 diff changeset	1425 if ((static_cast <long> (alpha - 0.5)) & 1)
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1426 tmp = - tmp;
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1427 retval = bessel_return_value (tmp, ierr);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1428 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1429 else
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 alpha = -alpha;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1432
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1433 FloatComplex tmp = cosf (static_cast<float> (M_PI) * alpha) * cbesy (z, alpha, kode, ierr);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1434
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1435 if (ierr == 0 \|\| ierr == 3)
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1436 {
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1437 tmp += sinf (static_cast<float> (M_PI) * alpha) * cbesj (z, alpha, kode, ierr);
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1438
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1439 retval = bessel_return_value (tmp, ierr);
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1440 }
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1441 else
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1442 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	1443 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1444
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1445 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1446 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1447
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1448 static inline FloatComplex
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1449 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	1450 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1451 FloatComplex retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1452
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1453 if (alpha >= 0.0)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1454 {
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	1455 FloatComplex y = 0.0;
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1456
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1457 octave_idx_type nz;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1458
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	1459 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	1460
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1461 if (kode != 2)
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1462 {
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1463 float expz = exp (std::abs (real (z)));
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1464 y *= expz;
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1465 }
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1466
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	1467 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	1468 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	1469
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	1470 retval = bessel_return_value (y, ierr);
7789 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 else
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1473 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1474 alpha = -alpha;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1475
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1476 FloatComplex tmp = cbesi (z, alpha, kode, ierr);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1477
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1478 if (ierr == 0 \|\| ierr == 3)
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1479 {
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1480 FloatComplex tmp2 = static_cast<float> (2.0 / M_PI) * sinf (static_cast<float> (M_PI) * alpha)
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1481 * cbesk (z, alpha, kode, ierr);
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11574 diff changeset	1482
12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11574 diff changeset	1483 if (kode == 2)
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1484 {
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1485 // Compensate for different scaling factor of besk.
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1486 tmp2 *= exp(-z - std::abs(z.real()));
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1487 }
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1488
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1489 tmp += tmp2;
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1490
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1491 retval = bessel_return_value (tmp, ierr);
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1492 }
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1493 else
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1494 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	1495 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1496
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1497 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1498 }
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 static inline FloatComplex
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1501 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	1502 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1503 FloatComplex retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1504
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1505 if (alpha >= 0.0)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1506 {
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	1507 FloatComplex y = 0.0;
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1508
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1509 octave_idx_type nz;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1510
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1511 ierr = 0;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1512
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	1513 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	1514 {
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1515 y = FloatComplex (octave_Float_Inf, 0.0);
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1516 }
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1517 else
10314 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 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	1520
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1521 if (kode != 2)
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1522 {
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1523 FloatComplex expz = exp (-z);
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1524
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1525 float rexpz = real (expz);
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1526 float iexpz = imag (expz);
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1527
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1528 float tmp_r = real (y) * rexpz - imag (y) * iexpz;
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1529 float tmp_i = real (y) * iexpz + imag (y) * rexpz;
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1530
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1531 y = FloatComplex (tmp_r, tmp_i);
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1532 }
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1533
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1534 if (imag (z) == 0.0 && real (z) >= 0.0)
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1535 y = FloatComplex (y.real (), 0.0);
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1536 }
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1537
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	1538 retval = bessel_return_value (y, ierr);
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1539 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1540 else
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 FloatComplex tmp = cbesk (z, -alpha, kode, ierr);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1543
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1544 retval = bessel_return_value (tmp, ierr);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1545 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1546
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1547 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1548 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1549
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1550 static inline FloatComplex
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1551 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	1552 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1553 FloatComplex 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 if (alpha >= 0.0)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1556 {
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	1557 FloatComplex y = 0.0;
7789 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 octave_idx_type nz;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1560
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	1561 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	1562
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1563 if (kode != 2)
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1564 {
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1565 FloatComplex expz = exp (FloatComplex (0.0, 1.0) * z);
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1566
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1567 float rexpz = real (expz);
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1568 float iexpz = imag (expz);
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1569
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1570 float tmp_r = real (y) * rexpz - imag (y) * iexpz;
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1571 float tmp_i = real (y) * iexpz + imag (y) * rexpz;
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1572
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1573 y = FloatComplex (tmp_r, tmp_i);
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1574 }
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1575
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	1576 retval = bessel_return_value (y, ierr);
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1577 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1578 else
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 alpha = -alpha;
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 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	1583
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1584 FloatComplex tmp = exp (static_cast<float> (M_PI) * alpha * eye) * cbesh1 (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 retval = bessel_return_value (tmp, ierr);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1587 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1588
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1589 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1590 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1591
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1592 static inline FloatComplex
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1593 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	1594 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1595 FloatComplex retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1596
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1597 if (alpha >= 0.0)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1598 {
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	1599 FloatComplex y = 0.0;
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1600
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1601 octave_idx_type nz;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1602
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	1603 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	1604
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1605 if (kode != 2)
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1606 {
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1607 FloatComplex expz = exp (-FloatComplex (0.0, 1.0) * z);
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1608
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1609 float rexpz = real (expz);
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1610 float iexpz = imag (expz);
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1611
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1612 float tmp_r = real (y) * rexpz - imag (y) * iexpz;
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1613 float tmp_i = real (y) * iexpz + imag (y) * rexpz;
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1614
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1615 y = FloatComplex (tmp_r, tmp_i);
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1616 }
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1617
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	1618 retval = bessel_return_value (y, ierr);
7789 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 else
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1621 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1622 alpha = -alpha;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1623
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1624 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	1625
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1626 FloatComplex tmp = exp (-static_cast<float> (M_PI) * alpha * eye) * cbesh2 (z, alpha, kode, ierr);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1627
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1628 retval = bessel_return_value (tmp, ierr);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1629 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1630
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1631 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1632 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1633
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1634 typedef FloatComplex (*fptr) (const FloatComplex&, float, int, octave_idx_type&);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1635
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1636 static inline FloatComplex
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1637 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	1638 bool scaled, octave_idx_type& ierr)
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1639 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1640 FloatComplex retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1641
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1642 retval = f (x, alpha, (scaled ? 2 : 1), ierr);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1643
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1644 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1645 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1646
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1647 static inline FloatComplexMatrix
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1648 do_bessel (fptr f, const char *, float alpha, const FloatComplexMatrix& x,
10352 a3635bc1ea19 remove Array2 Jaroslav Hajek <highegg@gmail.com> parents: 10314 diff changeset	1649 bool scaled, Array<octave_idx_type>& ierr)
7789 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 octave_idx_type nr = x.rows ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1652 octave_idx_type nc = x.cols ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1653
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1654 FloatComplexMatrix retval (nr, nc);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1655
11574 a83bad07f7e3 attempt better backward compatibility for Array resize functions John W. Eaton <jwe@octave.org> parents: 11523 diff changeset	1656 ierr.resize (dim_vector (nr, nc));
7789 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 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	1659 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	1660 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	1661
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1662 return 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
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1665 static inline FloatComplexMatrix
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1666 do_bessel (fptr f, const char *, const FloatMatrix& alpha, const FloatComplex& x,
10352 a3635bc1ea19 remove Array2 Jaroslav Hajek <highegg@gmail.com> parents: 10314 diff changeset	1667 bool scaled, Array<octave_idx_type>& ierr)
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1668 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1669 octave_idx_type nr = alpha.rows ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1670 octave_idx_type nc = alpha.cols ();
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 FloatComplexMatrix retval (nr, nc);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1673
11574 a83bad07f7e3 attempt better backward compatibility for Array resize functions John W. Eaton <jwe@octave.org> parents: 11523 diff changeset	1674 ierr.resize (dim_vector (nr, nc));
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1675
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1676 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	1677 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	1678 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	1679
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1680 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1681 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1682
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1683 static inline FloatComplexMatrix
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1684 do_bessel (fptr f, const char *fn, const FloatMatrix& alpha,
10352 a3635bc1ea19 remove Array2 Jaroslav Hajek <highegg@gmail.com> parents: 10314 diff changeset	1685 const FloatComplexMatrix& 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	1686 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1687 FloatComplexMatrix retval;
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 octave_idx_type x_nr = x.rows ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1690 octave_idx_type x_nc = x.cols ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1691
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1692 octave_idx_type alpha_nr = alpha.rows ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1693 octave_idx_type alpha_nc = alpha.cols ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1694
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1695 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	1696 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1697 octave_idx_type nr = x_nr;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1698 octave_idx_type nc = x_nc;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1699
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1700 retval.resize (nr, nc);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1701
11574 a83bad07f7e3 attempt better backward compatibility for Array resize functions John W. Eaton <jwe@octave.org> parents: 11523 diff changeset	1702 ierr.resize (dim_vector (nr, nc));
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1703
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1704 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	1705 for (octave_idx_type i = 0; i < nr; i++)
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1706 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	1707 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1708 else
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1709 (*current_liboctave_error_handler)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1710 ("%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	1711
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1712 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1713 }
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 static inline FloatComplexNDArray
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1716 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	1717 bool scaled, Array<octave_idx_type>& ierr)
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1718 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1719 dim_vector dv = x.dims ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1720 octave_idx_type nel = dv.numel ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1721 FloatComplexNDArray retval (dv);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1722
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1723 ierr.resize (dv);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1724
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1725 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	1726 retval(i) = f (x(i), alpha, (scaled ? 2 : 1), ierr(i));
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1727
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1728 return retval;
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
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1731 static inline FloatComplexNDArray
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1732 do_bessel (fptr f, const char *, const FloatNDArray& alpha, const FloatComplex& x,
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1733 bool scaled, Array<octave_idx_type>& ierr)
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1734 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1735 dim_vector dv = alpha.dims ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1736 octave_idx_type nel = dv.numel ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1737 FloatComplexNDArray retval (dv);
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 ierr.resize (dv);
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 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	1742 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	1743
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1744 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1745 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1746
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1747 static inline FloatComplexNDArray
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1748 do_bessel (fptr f, const char *fn, const FloatNDArray& alpha,
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1749 const FloatComplexNDArray& 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	1750 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1751 dim_vector dv = x.dims ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1752 FloatComplexNDArray 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 if (dv == alpha.dims ())
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 octave_idx_type nel = dv.numel ();
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 retval.resize (dv);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1759 ierr.resize (dv);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1760
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1761 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	1762 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	1763 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1764 else
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1765 (*current_liboctave_error_handler)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1766 ("%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	1767
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1768 return retval;
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
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1771 static inline FloatComplexMatrix
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1772 do_bessel (fptr f, const char *, const FloatRowVector& alpha,
10352 a3635bc1ea19 remove Array2 Jaroslav Hajek <highegg@gmail.com> parents: 10314 diff changeset	1773 const FloatComplexColumnVector& 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	1774 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1775 octave_idx_type nr = x.length ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1776 octave_idx_type nc = alpha.length ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1777
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1778 FloatComplexMatrix retval (nr, nc);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1779
11574 a83bad07f7e3 attempt better backward compatibility for Array resize functions John W. Eaton <jwe@octave.org> parents: 11523 diff changeset	1780 ierr.resize (dim_vector (nr, nc));
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 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	1783 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	1784 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	1785
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1786 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1787 }
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 #define SS_BESSEL(name, fcn) \
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1790 FloatComplex \
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1791 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	1792 { \
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1793 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	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 #define SM_BESSEL(name, fcn) \
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1797 FloatComplexMatrix \
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1798 name (float alpha, const FloatComplexMatrix& x, bool scaled, \
10352 a3635bc1ea19 remove Array2 Jaroslav Hajek <highegg@gmail.com> parents: 10314 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 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	1802 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1803
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1804 #define MS_BESSEL(name, fcn) \
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1805 FloatComplexMatrix \
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1806 name (const FloatMatrix& alpha, const FloatComplex& x, bool scaled, \
10352 a3635bc1ea19 remove Array2 Jaroslav Hajek <highegg@gmail.com> parents: 10314 diff changeset	1807 Array<octave_idx_type>& ierr) \
7789 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 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	1810 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1811
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1812 #define MM_BESSEL(name, fcn) \
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1813 FloatComplexMatrix \
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1814 name (const FloatMatrix& alpha, const FloatComplexMatrix& x, bool scaled, \
10352 a3635bc1ea19 remove Array2 Jaroslav Hajek <highegg@gmail.com> parents: 10314 diff changeset	1815 Array<octave_idx_type>& ierr) \
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1816 { \
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1817 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	1818 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1819
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1820 #define SN_BESSEL(name, fcn) \
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1821 FloatComplexNDArray \
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1822 name (float alpha, const FloatComplexNDArray& x, bool scaled, \
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1823 Array<octave_idx_type>& ierr) \
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1824 { \
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1825 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	1826 }
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 #define NS_BESSEL(name, fcn) \
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1829 FloatComplexNDArray \
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1830 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	1831 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 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	1834 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1835
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1836 #define NN_BESSEL(name, fcn) \
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1837 FloatComplexNDArray \
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1838 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	1839 Array<octave_idx_type>& ierr) \
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1840 { \
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1841 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	1842 }
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 #define RC_BESSEL(name, fcn) \
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1845 FloatComplexMatrix \
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1846 name (const FloatRowVector& alpha, const FloatComplexColumnVector& x, bool scaled, \
10352 a3635bc1ea19 remove Array2 Jaroslav Hajek <highegg@gmail.com> parents: 10314 diff changeset	1847 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 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	1850 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1851
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1852 #define ALL_BESSEL(name, fcn) \
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1853 SS_BESSEL (name, fcn) \
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1854 SM_BESSEL (name, fcn) \
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1855 MS_BESSEL (name, fcn) \
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1856 MM_BESSEL (name, fcn) \
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1857 SN_BESSEL (name, fcn) \
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1858 NS_BESSEL (name, fcn) \
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1859 NN_BESSEL (name, fcn) \
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1860 RC_BESSEL (name, fcn)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1861
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1862 ALL_BESSEL (besselj, cbesj)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1863 ALL_BESSEL (bessely, cbesy)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1864 ALL_BESSEL (besseli, cbesi)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1865 ALL_BESSEL (besselk, cbesk)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1866 ALL_BESSEL (besselh1, cbesh1)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1867 ALL_BESSEL (besselh2, cbesh2)
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 #undef ALL_BESSEL
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1870 #undef SS_BESSEL
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1871 #undef SM_BESSEL
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1872 #undef MS_BESSEL
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1873 #undef MM_BESSEL
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1874 #undef SN_BESSEL
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1875 #undef NS_BESSEL
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1876 #undef NN_BESSEL
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1877 #undef RC_BESSEL
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1878
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1879 Complex
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	1880 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	1881 {
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1882 double ar = 0.0;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1883 double ai = 0.0;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1884
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	1885 octave_idx_type nz;
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1886
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1887 double zr = z.real ();
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1888 double zi = z.imag ();
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	1889
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	1890 octave_idx_type id = deriv ? 1 : 0;
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1891
4506 3c82fc8f822c [project @ 2003-09-10 13:56:57 by jwe] jwe parents: 4497 diff changeset	1892 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	1893
3c82fc8f822c [project @ 2003-09-10 13:56:57 by jwe] jwe parents: 4497 diff changeset	1894 if (! scaled)
3c82fc8f822c [project @ 2003-09-10 13:56:57 by jwe] jwe parents: 4497 diff changeset	1895 {
3c82fc8f822c [project @ 2003-09-10 13:56:57 by jwe] jwe parents: 4497 diff changeset	1896 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	1897
4506 3c82fc8f822c [project @ 2003-09-10 13:56:57 by jwe] jwe parents: 4497 diff changeset	1898 double rexpz = real (expz);
3c82fc8f822c [project @ 2003-09-10 13:56:57 by jwe] jwe parents: 4497 diff changeset	1899 double iexpz = imag (expz);
3c82fc8f822c [project @ 2003-09-10 13:56:57 by jwe] jwe parents: 4497 diff changeset	1900
3c82fc8f822c [project @ 2003-09-10 13:56:57 by jwe] jwe parents: 4497 diff changeset	1901 double tmp = arrexpz - aiiexpz;
3c82fc8f822c [project @ 2003-09-10 13:56:57 by jwe] jwe parents: 4497 diff changeset	1902
3c82fc8f822c [project @ 2003-09-10 13:56:57 by jwe] jwe parents: 4497 diff changeset	1903 ai = ariexpz + airexpz;
3c82fc8f822c [project @ 2003-09-10 13:56:57 by jwe] jwe parents: 4497 diff changeset	1904 ar = tmp;
3c82fc8f822c [project @ 2003-09-10 13:56:57 by jwe] jwe parents: 4497 diff changeset	1905 }
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1906
4490 1aed172ab84a [project @ 2003-08-28 19:03:06 by jwe] jwe parents: 4180 diff changeset	1907 if (zi == 0.0 && (! scaled \|\| zr >= 0.0))
3225 7aae2c3636a7 [project @ 1998-12-04 23:20:12 by jwe] jwe parents: 3220 diff changeset	1908 ai = 0.0;
7aae2c3636a7 [project @ 1998-12-04 23:20:12 by jwe] jwe parents: 3220 diff changeset	1909
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1910 return bessel_return_value (Complex (ar, ai), ierr);
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	1911 }
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	1912
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1913 Complex
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	1914 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	1915 {
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1916 double ar = 0.0;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1917 double ai = 0.0;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1918
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1919 double zr = z.real ();
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1920 double zi = z.imag ();
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1921
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	1922 octave_idx_type id = deriv ? 1 : 0;
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1923
4506 3c82fc8f822c [project @ 2003-09-10 13:56:57 by jwe] jwe parents: 4497 diff changeset	1924 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	1925
3c82fc8f822c [project @ 2003-09-10 13:56:57 by jwe] jwe parents: 4497 diff changeset	1926 if (! scaled)
3c82fc8f822c [project @ 2003-09-10 13:56:57 by jwe] jwe parents: 4497 diff changeset	1927 {
3c82fc8f822c [project @ 2003-09-10 13:56:57 by jwe] jwe parents: 4497 diff changeset	1928 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	1929
4506 3c82fc8f822c [project @ 2003-09-10 13:56:57 by jwe] jwe parents: 4497 diff changeset	1930 double rexpz = real (expz);
3c82fc8f822c [project @ 2003-09-10 13:56:57 by jwe] jwe parents: 4497 diff changeset	1931 double iexpz = imag (expz);
3c82fc8f822c [project @ 2003-09-10 13:56:57 by jwe] jwe parents: 4497 diff changeset	1932
3c82fc8f822c [project @ 2003-09-10 13:56:57 by jwe] jwe parents: 4497 diff changeset	1933 double tmp = arrexpz - aiiexpz;
3c82fc8f822c [project @ 2003-09-10 13:56:57 by jwe] jwe parents: 4497 diff changeset	1934
3c82fc8f822c [project @ 2003-09-10 13:56:57 by jwe] jwe parents: 4497 diff changeset	1935 ai = ariexpz + airexpz;
3c82fc8f822c [project @ 2003-09-10 13:56:57 by jwe] jwe parents: 4497 diff changeset	1936 ar = tmp;
3c82fc8f822c [project @ 2003-09-10 13:56:57 by jwe] jwe parents: 4497 diff changeset	1937 }
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1938
4490 1aed172ab84a [project @ 2003-08-28 19:03:06 by jwe] jwe parents: 4180 diff changeset	1939 if (zi == 0.0 && (! scaled \|\| zr >= 0.0))
3225 7aae2c3636a7 [project @ 1998-12-04 23:20:12 by jwe] jwe parents: 3220 diff changeset	1940 ai = 0.0;
7aae2c3636a7 [project @ 1998-12-04 23:20:12 by jwe] jwe parents: 3220 diff changeset	1941
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1942 return bessel_return_value (Complex (ar, ai), ierr);
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	1943 }
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	1944
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1945 ComplexMatrix
10352 a3635bc1ea19 remove Array2 Jaroslav Hajek <highegg@gmail.com> parents: 10314 diff changeset	1946 airy (const ComplexMatrix& z, bool deriv, bool scaled, Array<octave_idx_type>& ierr)
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	1947 {
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	1948 octave_idx_type nr = z.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	1949 octave_idx_type nc = z.cols ();
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1950
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1951 ComplexMatrix retval (nr, nc);
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1952
11574 a83bad07f7e3 attempt better backward compatibility for Array resize functions John W. Eaton <jwe@octave.org> parents: 11523 diff changeset	1953 ierr.resize (dim_vector (nr, nc));
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1954
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	1955 for (octave_idx_type j = 0; j < nc; j++)
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	1956 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	1957 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	1958
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1959 return retval;
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	1960 }
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	1961
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1962 ComplexMatrix
10352 a3635bc1ea19 remove Array2 Jaroslav Hajek <highegg@gmail.com> parents: 10314 diff changeset	1963 biry (const ComplexMatrix& z, bool deriv, bool scaled, Array<octave_idx_type>& ierr)
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	1964 {
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	1965 octave_idx_type nr = z.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	1966 octave_idx_type nc = z.cols ();
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1967
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1968 ComplexMatrix retval (nr, nc);
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1969
11574 a83bad07f7e3 attempt better backward compatibility for Array resize functions John W. Eaton <jwe@octave.org> parents: 11523 diff changeset	1970 ierr.resize (dim_vector (nr, nc));
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1971
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	1972 for (octave_idx_type j = 0; j < nc; j++)
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	1973 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	1974 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	1975
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1976 return retval;
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	1977 }
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	1978
4844 9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1979 ComplexNDArray
9732 b4fdfee405b5 remove ArrayN<T> + fix nonhom. diag-scalar ops Jaroslav Hajek <highegg@gmail.com> parents: 8920 diff changeset	1980 airy (const ComplexNDArray& z, bool deriv, bool scaled, Array<octave_idx_type>& ierr)
4844 9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1981 {
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1982 dim_vector dv = z.dims ();
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	1983 octave_idx_type nel = dv.numel ();
4844 9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1984 ComplexNDArray retval (dv);
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1985
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1986 ierr.resize (dv);
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1987
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	1988 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	1989 retval (i) = airy (z(i), deriv, scaled, ierr(i));
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1990
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1991 return retval;
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1992 }
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1993
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1994 ComplexNDArray
9732 b4fdfee405b5 remove ArrayN<T> + fix nonhom. diag-scalar ops Jaroslav Hajek <highegg@gmail.com> parents: 8920 diff changeset	1995 biry (const ComplexNDArray& z, bool deriv, bool scaled, Array<octave_idx_type>& ierr)
4844 9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1996 {
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1997 dim_vector dv = z.dims ();
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	1998 octave_idx_type nel = dv.numel ();
4844 9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1999 ComplexNDArray retval (dv);
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2000
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2001 ierr.resize (dv);
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2002
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	2003 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	2004 retval (i) = biry (z(i), deriv, scaled, ierr(i));
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2005
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2006 return retval;
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2007 }
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2008
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2009 FloatComplex
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2010 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	2011 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2012 float ar = 0.0;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2013 float ai = 0.0;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2014
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2015 octave_idx_type nz;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2016
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2017 float zr = z.real ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2018 float zi = z.imag ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2019
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2020 octave_idx_type id = deriv ? 1 : 0;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2021
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2022 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	2023
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2024 if (! scaled)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2025 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2026 FloatComplex expz = exp (- static_cast<float> (2.0 / 3.0) * z * sqrt(z));
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2027
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2028 float rexpz = real (expz);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2029 float iexpz = imag (expz);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2030
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2031 float tmp = arrexpz - aiiexpz;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2032
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2033 ai = ariexpz + airexpz;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2034 ar = tmp;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2035 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2036
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2037 if (zi == 0.0 && (! scaled \|\| zr >= 0.0))
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2038 ai = 0.0;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2039
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2040 return bessel_return_value (FloatComplex (ar, ai), ierr);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2041 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2042
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2043 FloatComplex
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2044 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	2045 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2046 float ar = 0.0;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2047 float ai = 0.0;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2048
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2049 float zr = z.real ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2050 float zi = z.imag ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2051
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2052 octave_idx_type id = deriv ? 1 : 0;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2053
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2054 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	2055
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2056 if (! scaled)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2057 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2058 FloatComplex expz = exp (std::abs (real (static_cast<float> (2.0 / 3.0) * z * sqrt (z))));
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2059
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2060 float rexpz = real (expz);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2061 float iexpz = imag (expz);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2062
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2063 float tmp = arrexpz - aiiexpz;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2064
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2065 ai = ariexpz + airexpz;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2066 ar = tmp;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2067 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2068
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2069 if (zi == 0.0 && (! scaled \|\| zr >= 0.0))
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2070 ai = 0.0;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2071
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2072 return bessel_return_value (FloatComplex (ar, ai), ierr);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2073 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2074
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2075 FloatComplexMatrix
10352 a3635bc1ea19 remove Array2 Jaroslav Hajek <highegg@gmail.com> parents: 10314 diff changeset	2076 airy (const FloatComplexMatrix& z, bool deriv, bool scaled, Array<octave_idx_type>& ierr)
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2077 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2078 octave_idx_type nr = z.rows ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2079 octave_idx_type nc = z.cols ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2080
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2081 FloatComplexMatrix retval (nr, nc);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2082
11574 a83bad07f7e3 attempt better backward compatibility for Array resize functions John W. Eaton <jwe@octave.org> parents: 11523 diff changeset	2083 ierr.resize (dim_vector (nr, nc));
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2084
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2085 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	2086 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	2087 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	2088
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2089 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2090 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2091
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2092 FloatComplexMatrix
10352 a3635bc1ea19 remove Array2 Jaroslav Hajek <highegg@gmail.com> parents: 10314 diff changeset	2093 biry (const FloatComplexMatrix& z, bool deriv, bool scaled, Array<octave_idx_type>& ierr)
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2094 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2095 octave_idx_type nr = z.rows ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2096 octave_idx_type nc = z.cols ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2097
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2098 FloatComplexMatrix retval (nr, nc);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2099
11574 a83bad07f7e3 attempt better backward compatibility for Array resize functions John W. Eaton <jwe@octave.org> parents: 11523 diff changeset	2100 ierr.resize (dim_vector (nr, nc));
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2101
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2102 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	2103 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	2104 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	2105
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2106 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2107 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2108
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2109 FloatComplexNDArray
9732 b4fdfee405b5 remove ArrayN<T> + fix nonhom. diag-scalar ops Jaroslav Hajek <highegg@gmail.com> parents: 8920 diff changeset	2110 airy (const FloatComplexNDArray& z, bool deriv, bool scaled, Array<octave_idx_type>& ierr)
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2111 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2112 dim_vector dv = z.dims ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2113 octave_idx_type nel = dv.numel ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2114 FloatComplexNDArray retval (dv);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2115
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2116 ierr.resize (dv);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2117
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2118 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	2119 retval (i) = airy (z(i), deriv, scaled, ierr(i));
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2120
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2121 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2122 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2123
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2124 FloatComplexNDArray
9732 b4fdfee405b5 remove ArrayN<T> + fix nonhom. diag-scalar ops Jaroslav Hajek <highegg@gmail.com> parents: 8920 diff changeset	2125 biry (const FloatComplexNDArray& z, bool deriv, bool scaled, Array<octave_idx_type>& ierr)
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2126 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2127 dim_vector dv = z.dims ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2128 octave_idx_type nel = dv.numel ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2129 FloatComplexNDArray retval (dv);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2130
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2131 ierr.resize (dv);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2132
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2133 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	2134 retval (i) = biry (z(i), deriv, scaled, ierr(i));
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2135
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2136 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2137 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2138
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2139 static void
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	2140 gripe_betainc_nonconformant (octave_idx_type r1, octave_idx_type c1, octave_idx_type r2, octave_idx_type c2, octave_idx_type r3,
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2141 octave_idx_type c3)
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2142 {
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2143 (*current_liboctave_error_handler)
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2144 ("betainc: nonconformant arguments (x is %dx%d, a is %dx%d, b is %dx%d)",
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2145 r1, c1, r2, c2, r3, c3);
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2146 }
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2147
4844 9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2148 static void
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2149 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	2150 const dim_vector& d3)
4844 9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2151 {
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2152 std::string d1_str = d1.str ();
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2153 std::string d2_str = d2.str ();
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2154 std::string d3_str = d3.str ();
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2155
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2156 (*current_liboctave_error_handler)
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2157 ("betainc: nonconformant arguments (x is %s, a is %s, b is %s)",
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2158 d1_str.c_str (), d2_str.c_str (), d3_str.c_str ());
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2159 }
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2160
14816 0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	2161 static void
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	2162 gripe_betaincinv_nonconformant (octave_idx_type r1, octave_idx_type c1, octave_idx_type r2, octave_idx_type c2, octave_idx_type r3,
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	2163 octave_idx_type c3)
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	2164 {
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	2165 (*current_liboctave_error_handler)
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	2166 ("betaincinv: nonconformant arguments (x is %dx%d, a is %dx%d, b is %dx%d)",
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	2167 r1, c1, r2, c2, r3, c3);
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	2168 }
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	2169
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	2170 static void
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	2171 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	2172 const dim_vector& d3)
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	2173 {
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	2174 std::string d1_str = d1.str ();
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	2175 std::string d2_str = d2.str ();
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	2176 std::string d3_str = d3.str ();
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	2177
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	2178 (*current_liboctave_error_handler)
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	2179 ("betaincinv: nonconformant arguments (x is %s, a is %s, b is %s)",
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	2180 d1_str.c_str (), d2_str.c_str (), d3_str.c_str ());
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	2181 }
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	2182
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2183 double
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2184 betainc (double x, double a, double b)
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2185 {
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2186 double retval;
5700 67118c88cee7 [project @ 2006-03-21 17:31:45 by jwe] jwe parents: 5307 diff changeset	2187 F77_XFCN (xdbetai, XDBETAI, (x, a, b, retval));
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2188 return retval;
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2189 }
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2190
14815 95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2191 Array<double>
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2192 betainc (double x, double a, const Array<double>& b)
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2193 {
14815 95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2194 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	2195 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	2196
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2197 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	2198
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2199 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	2200
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2201 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	2202 *pretval++ = betainc (x, a, b(i));
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2203
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2204 return retval;
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2205 }
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2206
14815 95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2207 Array<double>
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2208 betainc (double x, const Array<double>& a, double b)
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2209 {
14815 95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2210 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	2211 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	2212
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2213 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	2214
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2215 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	2216
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2217 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	2218 *pretval++ = betainc (x, a(i), b);
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2219
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2220 return retval;
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2221 }
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2222
14815 95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2223 Array<double>
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2224 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	2225 {
14815 95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2226 Array<double> retval;
4844 9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2227 dim_vector dv = a.dims ();
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2228
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2229 if (dv == b.dims ())
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2230 {
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2231 octave_idx_type nel = dv.numel ();
4844 9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2232
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2233 retval.resize (dv);
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2234
14815 95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2235 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	2236
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2237 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	2238 *pretval++ = betainc (x, a(i), b(i));
4844 9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2239 }
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2240 else
10258 e317791645c4 64-bit fixes John W. Eaton <jwe@octave.org> parents: 10158 diff changeset	2241 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	2242
4844 9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2243 return retval;
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2244 }
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2245
14815 95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2246 Array<double>
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2247 betainc (const Array<double>& x, double a, double b)
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2248 {
14815 95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2249 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	2250 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	2251
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2252 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	2253
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2254 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	2255
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2256 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	2257 *pretval++ = betainc (x(i), a, b);
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2258
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2259 return retval;
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2260 }
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2261
14815 95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2262 Array<double>
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2263 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	2264 {
14815 95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2265 Array<double> retval;
4844 9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2266 dim_vector dv = x.dims ();
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2267
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2268 if (dv == b.dims ())
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2269 {
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2270 octave_idx_type nel = dv.numel ();
4844 9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2271
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2272 retval.resize (dv);
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2273
14815 95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2274 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	2275
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2276 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	2277 *pretval++ = betainc (x(i), a, b(i));
4844 9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2278 }
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2279 else
10258 e317791645c4 64-bit fixes John W. Eaton <jwe@octave.org> parents: 10158 diff changeset	2280 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	2281
4844 9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2282 return retval;
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2283 }
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2284
14815 95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2285 Array<double>
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2286 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	2287 {
14815 95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2288 Array<double> retval;
4844 9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2289 dim_vector dv = x.dims ();
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2290
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2291 if (dv == a.dims ())
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2292 {
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2293 octave_idx_type nel = dv.numel ();
4844 9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2294
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2295 retval.resize (dv);
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 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 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	2298
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2299 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	2300 *pretval++ = betainc (x(i), a(i), b);
4844 9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2301 }
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2302 else
10258 e317791645c4 64-bit fixes John W. Eaton <jwe@octave.org> parents: 10158 diff changeset	2303 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	2304
4844 9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2305 return retval;
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2306 }
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2307
14815 95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2308 Array<double>
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2309 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	2310 {
14815 95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2311 Array<double> retval;
4844 9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2312 dim_vector dv = x.dims ();
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2313
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2314 if (dv == a.dims () && dv == b.dims ())
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2315 {
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2316 octave_idx_type nel = dv.numel ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2317
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2318 retval.resize (dv);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2319
14815 95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2320 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	2321
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2322 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	2323 *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	2324 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2325 else
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2326 gripe_betainc_nonconformant (dv, a.dims (), b.dims ());
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2327
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2328 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2329 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2330
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2331 float
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2332 betainc (float x, float a, float b)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2333 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2334 float retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2335 F77_XFCN (xbetai, XBETAI, (x, a, b, retval));
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2336 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2337 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2338
14815 95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2339 Array<float>
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2340 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	2341 {
14815 95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2342 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	2343 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	2344
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2345 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	2346
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2347 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	2348
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2349 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	2350 *pretval++ = betainc (x, a, b(i));
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2351
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2352 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2353 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 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 Array<float>
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2356 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	2357 {
14815 95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2358 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	2359 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	2360
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2361 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	2362
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2363 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	2364
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2365 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	2366 *pretval++ = betainc (x, a(i), b);
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2367
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2368 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2369 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 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<float>
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2372 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	2373 {
14815 95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2374 Array<float> retval;
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2375 dim_vector dv = a.dims ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2376
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2377 if (dv == b.dims ())
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2378 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2379 octave_idx_type nel = dv.numel ();
4844 9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2380
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2381 retval.resize (dv);
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2382
14815 95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2383 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	2384
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2385 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	2386 *pretval++ = betainc (x, a(i), b(i));
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2387 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2388 else
10258 e317791645c4 64-bit fixes John W. Eaton <jwe@octave.org> parents: 10158 diff changeset	2389 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	2390
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2391 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2392 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 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<float>
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2395 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	2396 {
14815 95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2397 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	2398 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	2399
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2400 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	2401
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2402 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	2403
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2404 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	2405 *pretval++ = betainc (x(i), a, b);
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2406
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2407 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2408 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2409
14815 95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2410 Array<float>
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2411 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	2412 {
14815 95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2413 Array<float> retval;
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2414 dim_vector dv = x.dims ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2415
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2416 if (dv == b.dims ())
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2417 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2418 octave_idx_type nel = dv.numel ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2419
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2420 retval.resize (dv);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2421
14815 95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2422 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	2423
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2424 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	2425 *pretval++ = betainc (x(i), a, b(i));
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2426 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2427 else
10258 e317791645c4 64-bit fixes John W. Eaton <jwe@octave.org> parents: 10158 diff changeset	2428 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	2429
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2430 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2431 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2432
14815 95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2433 Array<float>
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2434 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	2435 {
14815 95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2436 Array<float> retval;
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2437 dim_vector dv = x.dims ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2438
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2439 if (dv == a.dims ())
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2440 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2441 octave_idx_type nel = dv.numel ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2442
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2443 retval.resize (dv);
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 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	2446
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2447 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	2448 *pretval++ = betainc (x(i), a(i), b);
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2449 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2450 else
10258 e317791645c4 64-bit fixes John W. Eaton <jwe@octave.org> parents: 10158 diff changeset	2451 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	2452
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2453 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2454 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2455
14815 95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2456 Array<float>
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2457 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	2458 {
14815 95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2459 Array<float> retval;
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2460 dim_vector dv = x.dims ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2461
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2462 if (dv == a.dims () && dv == b.dims ())
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2463 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2464 octave_idx_type nel = dv.numel ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2465
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2466 retval.resize (dv);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2467
14815 95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2468 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	2469
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2470 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	2471 *pretval++ = betainc (x(i), a(i), b(i));
4844 9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2472 }
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2473 else
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2474 gripe_betainc_nonconformant (dv, a.dims (), b.dims ());
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2475
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2476 return retval;
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2477 }
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2478
5775 ace8d8d26933 [project @ 2006-04-24 19:13:06 by jwe] jwe parents: 5701 diff changeset	2479 // FIXME -- there is still room for improvement here...
3164 45490c020e47 [project @ 1998-04-14 20:56:48 by jwe] jwe parents: 3162 diff changeset	2480
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2481 double
4004 ca854fb51a88 [project @ 2002-07-25 06:31:33 by jwe] jwe parents: 3887 diff changeset	2482 gammainc (double x, double a, bool& err)
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2483 {
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2484 double retval;
3164 45490c020e47 [project @ 1998-04-14 20:56:48 by jwe] jwe parents: 3162 diff changeset	2485
4004 ca854fb51a88 [project @ 2002-07-25 06:31:33 by jwe] jwe parents: 3887 diff changeset	2486 err = false;
3164 45490c020e47 [project @ 1998-04-14 20:56:48 by jwe] jwe parents: 3162 diff changeset	2487
4004 ca854fb51a88 [project @ 2002-07-25 06:31:33 by jwe] jwe parents: 3887 diff changeset	2488 if (a < 0.0 \|\| x < 0.0)
ca854fb51a88 [project @ 2002-07-25 06:31:33 by jwe] jwe parents: 3887 diff changeset	2489 {
ca854fb51a88 [project @ 2002-07-25 06:31:33 by jwe] jwe parents: 3887 diff changeset	2490 (*current_liboctave_error_handler)
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2491 ("gammainc: A and X must be non-negative");
4004 ca854fb51a88 [project @ 2002-07-25 06:31:33 by jwe] jwe parents: 3887 diff changeset	2492
ca854fb51a88 [project @ 2002-07-25 06:31:33 by jwe] jwe parents: 3887 diff changeset	2493 err = true;
ca854fb51a88 [project @ 2002-07-25 06:31:33 by jwe] jwe parents: 3887 diff changeset	2494 }
ca854fb51a88 [project @ 2002-07-25 06:31:33 by jwe] jwe parents: 3887 diff changeset	2495 else
5278 fe23ec6763b7 [project @ 2005-04-12 21:04:39 by jwe] jwe parents: 5275 diff changeset	2496 F77_XFCN (xgammainc, XGAMMAINC, (a, x, retval));
3164 45490c020e47 [project @ 1998-04-14 20:56:48 by jwe] jwe parents: 3162 diff changeset	2497
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2498 return retval;
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2499 }
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2500
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2501 Matrix
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2502 gammainc (double x, const Matrix& a)
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2503 {
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	2504 octave_idx_type nr = a.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	2505 octave_idx_type nc = a.cols ();
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2506
4004 ca854fb51a88 [project @ 2002-07-25 06:31:33 by jwe] jwe parents: 3887 diff changeset	2507 Matrix result (nr, nc);
ca854fb51a88 [project @ 2002-07-25 06:31:33 by jwe] jwe parents: 3887 diff changeset	2508 Matrix retval;
ca854fb51a88 [project @ 2002-07-25 06:31:33 by jwe] jwe parents: 3887 diff changeset	2509
ca854fb51a88 [project @ 2002-07-25 06:31:33 by jwe] jwe parents: 3887 diff changeset	2510 bool err;
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2511
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	2512 for (octave_idx_type j = 0; j < nc; j++)
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	2513 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	2514 {
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2515 result(i,j) = gammainc (x, a(i,j), err);
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2516
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2517 if (err)
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2518 goto done;
4004 ca854fb51a88 [project @ 2002-07-25 06:31:33 by jwe] jwe parents: 3887 diff changeset	2519 }
ca854fb51a88 [project @ 2002-07-25 06:31:33 by jwe] jwe parents: 3887 diff changeset	2520
ca854fb51a88 [project @ 2002-07-25 06:31:33 by jwe] jwe parents: 3887 diff changeset	2521 retval = result;
ca854fb51a88 [project @ 2002-07-25 06:31:33 by jwe] jwe parents: 3887 diff changeset	2522
ca854fb51a88 [project @ 2002-07-25 06:31:33 by jwe] jwe parents: 3887 diff changeset	2523 done:
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2524
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2525 return retval;
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2526 }
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2527
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2528 Matrix
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2529 gammainc (const Matrix& x, double a)
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2530 {
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	2531 octave_idx_type nr = x.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	2532 octave_idx_type nc = x.cols ();
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2533
4004 ca854fb51a88 [project @ 2002-07-25 06:31:33 by jwe] jwe parents: 3887 diff changeset	2534 Matrix result (nr, nc);
ca854fb51a88 [project @ 2002-07-25 06:31:33 by jwe] jwe parents: 3887 diff changeset	2535 Matrix retval;
ca854fb51a88 [project @ 2002-07-25 06:31:33 by jwe] jwe parents: 3887 diff changeset	2536
ca854fb51a88 [project @ 2002-07-25 06:31:33 by jwe] jwe parents: 3887 diff changeset	2537 bool err;
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2538
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	2539 for (octave_idx_type j = 0; j < nc; j++)
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	2540 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	2541 {
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2542 result(i,j) = gammainc (x(i,j), a, err);
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2543
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2544 if (err)
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2545 goto done;
4004 ca854fb51a88 [project @ 2002-07-25 06:31:33 by jwe] jwe parents: 3887 diff changeset	2546 }
ca854fb51a88 [project @ 2002-07-25 06:31:33 by jwe] jwe parents: 3887 diff changeset	2547
ca854fb51a88 [project @ 2002-07-25 06:31:33 by jwe] jwe parents: 3887 diff changeset	2548 retval = result;
ca854fb51a88 [project @ 2002-07-25 06:31:33 by jwe] jwe parents: 3887 diff changeset	2549
ca854fb51a88 [project @ 2002-07-25 06:31:33 by jwe] jwe parents: 3887 diff changeset	2550 done:
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2551
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2552 return retval;
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2553 }
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2554
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2555 Matrix
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2556 gammainc (const Matrix& x, const Matrix& a)
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2557 {
4004 ca854fb51a88 [project @ 2002-07-25 06:31:33 by jwe] jwe parents: 3887 diff changeset	2558 Matrix result;
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2559 Matrix retval;
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2560
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	2561 octave_idx_type nr = x.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	2562 octave_idx_type nc = x.cols ();
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2563
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	2564 octave_idx_type a_nr = a.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	2565 octave_idx_type a_nc = a.cols ();
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2566
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2567 if (nr == a_nr && nc == a_nc)
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2568 {
4004 ca854fb51a88 [project @ 2002-07-25 06:31:33 by jwe] jwe parents: 3887 diff changeset	2569 result.resize (nr, nc);
ca854fb51a88 [project @ 2002-07-25 06:31:33 by jwe] jwe parents: 3887 diff changeset	2570
ca854fb51a88 [project @ 2002-07-25 06:31:33 by jwe] jwe parents: 3887 diff changeset	2571 bool err;
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2572
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	2573 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	2574 for (octave_idx_type i = 0; i < nr; i++)
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2575 {
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2576 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	2577
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2578 if (err)
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2579 goto done;
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2580 }
4004 ca854fb51a88 [project @ 2002-07-25 06:31:33 by jwe] jwe parents: 3887 diff changeset	2581
ca854fb51a88 [project @ 2002-07-25 06:31:33 by jwe] jwe parents: 3887 diff changeset	2582 retval = result;
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2583 }
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2584 else
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2585 (*current_liboctave_error_handler)
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2586 ("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	2587 nr, nc, a_nr, a_nc);
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2588
4004 ca854fb51a88 [project @ 2002-07-25 06:31:33 by jwe] jwe parents: 3887 diff changeset	2589 done:
ca854fb51a88 [project @ 2002-07-25 06:31:33 by jwe] jwe parents: 3887 diff changeset	2590
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2591 return retval;
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2592 }
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2593
4844 9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2594 NDArray
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2595 gammainc (double x, const NDArray& a)
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2596 {
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2597 dim_vector dv = a.dims ();
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2598 octave_idx_type nel = dv.numel ();
4844 9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2599
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2600 NDArray retval;
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2601 NDArray result (dv);
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2602
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2603 bool err;
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2604
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2605 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	2606 {
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2607 result (i) = gammainc (x, a(i), err);
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2608
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2609 if (err)
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2610 goto done;
4844 9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2611 }
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2612
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2613 retval = result;
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2614
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2615 done:
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2616
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2617 return retval;
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2618 }
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2619
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2620 NDArray
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2621 gammainc (const NDArray& x, double a)
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2622 {
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2623 dim_vector dv = x.dims ();
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2624 octave_idx_type nel = dv.numel ();
4844 9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2625
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2626 NDArray retval;
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2627 NDArray result (dv);
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2628
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2629 bool err;
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2630
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2631 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	2632 {
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2633 result (i) = gammainc (x(i), a, err);
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2634
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2635 if (err)
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2636 goto done;
4844 9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2637 }
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2638
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2639 retval = result;
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2640
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2641 done:
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2642
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2643 return retval;
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2644 }
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2645
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2646 NDArray
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2647 gammainc (const NDArray& x, const NDArray& a)
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2648 {
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2649 dim_vector dv = x.dims ();
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2650 octave_idx_type nel = dv.numel ();
4844 9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2651
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2652 NDArray retval;
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2653 NDArray result;
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2654
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2655 if (dv == a.dims ())
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2656 {
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2657 result.resize (dv);
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2658
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2659 bool err;
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2660
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2661 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	2662 {
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2663 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	2664
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2665 if (err)
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2666 goto done;
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2667 }
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2668
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2669 retval = result;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2670 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2671 else
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2672 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2673 std::string x_str = dv.str ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2674 std::string a_str = a.dims ().str ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2675
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2676 (*current_liboctave_error_handler)
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2677 ("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	2678 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	2679 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2680
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2681 done:
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2682
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2683 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2684 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2685
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2686 float
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2687 gammainc (float x, float a, bool& err)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2688 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2689 float retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2690
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2691 err = false;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2692
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2693 if (a < 0.0 \|\| x < 0.0)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2694 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2695 (*current_liboctave_error_handler)
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2696 ("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	2697
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2698 err = true;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2699 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2700 else
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2701 F77_XFCN (xsgammainc, XSGAMMAINC, (a, x, retval));
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2702
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2703 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2704 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2705
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2706 FloatMatrix
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2707 gammainc (float x, const FloatMatrix& a)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2708 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2709 octave_idx_type nr = a.rows ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2710 octave_idx_type nc = a.cols ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2711
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2712 FloatMatrix result (nr, nc);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2713 FloatMatrix retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2714
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2715 bool err;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2716
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2717 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	2718 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	2719 {
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2720 result(i,j) = gammainc (x, a(i,j), err);
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2721
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2722 if (err)
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2723 goto done;
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2724 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2725
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2726 retval = result;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2727
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2728 done:
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2729
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2730 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2731 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2732
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2733 FloatMatrix
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2734 gammainc (const FloatMatrix& x, float a)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2735 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2736 octave_idx_type nr = x.rows ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2737 octave_idx_type nc = x.cols ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2738
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2739 FloatMatrix result (nr, nc);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2740 FloatMatrix retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2741
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2742 bool err;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2743
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2744 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	2745 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	2746 {
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2747 result(i,j) = gammainc (x(i,j), a, err);
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2748
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2749 if (err)
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2750 goto done;
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2751 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2752
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2753 retval = result;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2754
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2755 done:
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2756
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2757 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2758 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2759
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2760 FloatMatrix
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2761 gammainc (const FloatMatrix& x, const FloatMatrix& a)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2762 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2763 FloatMatrix result;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2764 FloatMatrix retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2765
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2766 octave_idx_type nr = x.rows ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2767 octave_idx_type nc = x.cols ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2768
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2769 octave_idx_type a_nr = a.rows ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2770 octave_idx_type a_nc = a.cols ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2771
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2772 if (nr == a_nr && nc == a_nc)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2773 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2774 result.resize (nr, nc);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2775
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2776 bool err;
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 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	2779 for (octave_idx_type i = 0; i < nr; i++)
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2780 {
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2781 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	2782
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2783 if (err)
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2784 goto done;
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2785 }
7789 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 retval = result;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2788 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2789 else
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2790 (*current_liboctave_error_handler)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2791 ("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	2792 nr, nc, a_nr, a_nc);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2793
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2794 done:
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2795
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2796 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2797 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2798
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2799 FloatNDArray
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2800 gammainc (float x, const FloatNDArray& a)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2801 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2802 dim_vector dv = a.dims ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2803 octave_idx_type nel = dv.numel ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2804
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2805 FloatNDArray retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2806 FloatNDArray result (dv);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2807
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2808 bool err;
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 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	2811 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2812 result (i) = gammainc (x, a(i), err);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2813
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2814 if (err)
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2815 goto done;
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2816 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2817
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2818 retval = result;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2819
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2820 done:
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2821
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2822 return retval;
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
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2825 FloatNDArray
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2826 gammainc (const FloatNDArray& x, float a)
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 dim_vector dv = x.dims ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2829 octave_idx_type nel = dv.numel ();
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 FloatNDArray retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2832 FloatNDArray result (dv);
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 bool err;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2835
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2836 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	2837 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2838 result (i) = gammainc (x(i), a, err);
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 if (err)
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2841 goto done;
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2842 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2843
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2844 retval = result;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2845
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2846 done:
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2847
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2848 return retval;
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 FloatNDArray
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2852 gammainc (const FloatNDArray& x, const FloatNDArray& a)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2853 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2854 dim_vector dv = x.dims ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2855 octave_idx_type nel = dv.numel ();
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 FloatNDArray retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2858 FloatNDArray result;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2859
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2860 if (dv == a.dims ())
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2861 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2862 result.resize (dv);
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 bool err;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2865
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2866 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	2867 {
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2868 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	2869
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2870 if (err)
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2871 goto done;
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2872 }
4844 9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2873
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2874 retval = result;
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2875 }
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2876 else
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2877 {
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2878 std::string x_str = dv.str ();
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2879 std::string a_str = a.dims ().str ();
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2880
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2881 (*current_liboctave_error_handler)
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2882 ("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	2883 x_str.c_str (), a_str.c_str ());
4844 9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2884 }
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2885
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2886 done:
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2887
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2888 return retval;
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2889 }
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2890
9812 f80c566bc751 improve unary mapper system Jaroslav Hajek <highegg@gmail.com> parents: 9732 diff changeset	2891
f80c566bc751 improve unary mapper system Jaroslav Hajek <highegg@gmail.com> parents: 9732 diff changeset	2892 Complex rc_log1p (double x)
f80c566bc751 improve unary mapper system Jaroslav Hajek <highegg@gmail.com> parents: 9732 diff changeset	2893 {
f80c566bc751 improve unary mapper system Jaroslav Hajek <highegg@gmail.com> parents: 9732 diff changeset	2894 const double pi = 3.14159265358979323846;
f80c566bc751 improve unary mapper system Jaroslav Hajek <highegg@gmail.com> parents: 9732 diff changeset	2895 return x < -1.0 ? Complex (log (-(1.0 + x)), pi) : Complex (log1p (x));
f80c566bc751 improve unary mapper system Jaroslav Hajek <highegg@gmail.com> parents: 9732 diff changeset	2896 }
f80c566bc751 improve unary mapper system Jaroslav Hajek <highegg@gmail.com> parents: 9732 diff changeset	2897
f80c566bc751 improve unary mapper system Jaroslav Hajek <highegg@gmail.com> parents: 9732 diff changeset	2898 FloatComplex rc_log1p (float x)
f80c566bc751 improve unary mapper system Jaroslav Hajek <highegg@gmail.com> parents: 9732 diff changeset	2899 {
f80c566bc751 improve unary mapper system Jaroslav Hajek <highegg@gmail.com> parents: 9732 diff changeset	2900 const float pi = 3.14159265358979323846f;
f80c566bc751 improve unary mapper system Jaroslav Hajek <highegg@gmail.com> parents: 9732 diff changeset	2901 return x < -1.0f ? FloatComplex (logf (-(1.0f + x)), pi) : FloatComplex (log1pf (x));
f80c566bc751 improve unary mapper system Jaroslav Hajek <highegg@gmail.com> parents: 9732 diff changeset	2902 }
f80c566bc751 improve unary mapper system Jaroslav Hajek <highegg@gmail.com> parents: 9732 diff changeset	2903
9838 55219e65c7cd fix typo Jaroslav Hajek <highegg@gmail.com> parents: 9837 diff changeset	2904 // This algorithm is due to P. J. Acklam.
9837 7c70084b125e improve comment for 9835 Jaroslav Hajek <highegg@gmail.com> parents: 9835 diff changeset	2905 // See http://home.online.no/~pjacklam/notes/invnorm/
7c70084b125e improve comment for 9835 Jaroslav Hajek <highegg@gmail.com> parents: 9835 diff changeset	2906 // 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	2907 // 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	2908 // 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	2909 // faster evaluation.
1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	2910
1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	2911 static double do_erfinv (double x, bool refine)
1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	2912 {
1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	2913 // Coefficients of rational approximation.
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11574 diff changeset	2914 static const double a[] =
9835 1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	2915 { -2.806989788730439e+01, 1.562324844726888e+02,
1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	2916 -1.951109208597547e+02, 9.783370457507161e+01,
1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	2917 -2.168328665628878e+01, 1.772453852905383e+00 };
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11574 diff changeset	2918 static const double b[] =
9835 1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	2919 { -5.447609879822406e+01, 1.615858368580409e+02,
1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	2920 -1.556989798598866e+02, 6.680131188771972e+01,
1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	2921 -1.328068155288572e+01 };
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11574 diff changeset	2922 static const double c[] =
9835 1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	2923 { -5.504751339936943e-03, -2.279687217114118e-01,
1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	2924 -1.697592457770869e+00, -1.802933168781950e+00,
1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	2925 3.093354679843505e+00, 2.077595676404383e+00 };
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11574 diff changeset	2926 static const double d[] =
9835 1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	2927 { 7.784695709041462e-03, 3.224671290700398e-01,
1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	2928 2.445134137142996e+00, 3.754408661907416e+00 };
1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	2929
14781 e190f6da40f6 maint: Correct comments and use Octave spacing conventions for erfinv. Rik <octave@nomad.inbox5.com> parents: 14771 diff changeset	2930 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	2931 static const double pbreak = 0.95150;
1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	2932 double ax = fabs (x), y;
1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	2933
1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	2934 // Select case.
1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	2935 if (ax <= pbreak)
1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	2936 {
1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	2937 // Middle region.
1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	2938 const double q = 0.5 * x, r = q*q;
1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	2939 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	2940 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	2941 y = yn / yd;
1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	2942 }
1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	2943 else if (ax < 1.0)
1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	2944 {
1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	2945 // Tail region.
1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	2946 const double q = sqrt (-2log (0.5(1-ax)));
1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	2947 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	2948 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	2949 y = yn / yd * signum (-x);
1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	2950 }
1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	2951 else if (ax == 1.0)
1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	2952 return octave_Inf * signum (x);
1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	2953 else
1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	2954 return octave_NaN;
1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	2955
1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	2956 if (refine)
1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	2957 {
1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	2958 // 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	2959 double u = (erf (y) - x) * spi2 * exp (y*y);
9835 1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	2960 y -= u / (1 + y*u);
1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	2961 }
1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	2962
1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	2963 return y;
1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	2964 }
1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	2965
1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	2966 double erfinv (double x)
1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	2967 {
1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	2968 return do_erfinv (x, true);
1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	2969 }
1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	2970
1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	2971 float erfinv (float x)
1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	2972 {
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11574 diff changeset	2973 return do_erfinv (x, false);
9835 1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	2974 }
10391 59e34bcdff13 implement built-in erfcx Jaroslav Hajek <highegg@gmail.com> parents: 10352 diff changeset	2975
14786 e70a0c9cada6 Pre-compute bounds (constant folding) for erfcinv function. Rik <octave@nomad.inbox5.com> parents: 14781 diff changeset	2976 // 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	2977 // 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	2978 // 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	2979
14770 cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	2980 static double do_erfcinv (double x, bool refine)
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	2981 {
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	2982 // Coefficients of rational approximation.
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	2983 static const double a[] =
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	2984 { -2.806989788730439e+01, 1.562324844726888e+02,
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	2985 -1.951109208597547e+02, 9.783370457507161e+01,
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	2986 -2.168328665628878e+01, 1.772453852905383e+00 };
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	2987 static const double b[] =
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	2988 { -5.447609879822406e+01, 1.615858368580409e+02,
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	2989 -1.556989798598866e+02, 6.680131188771972e+01,
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	2990 -1.328068155288572e+01 };
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	2991 static const double c[] =
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	2992 { -5.504751339936943e-03, -2.279687217114118e-01,
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	2993 -1.697592457770869e+00, -1.802933168781950e+00,
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	2994 3.093354679843505e+00, 2.077595676404383e+00 };
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	2995 static const double d[] =
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	2996 { 7.784695709041462e-03, 3.224671290700398e-01,
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	2997 2.445134137142996e+00, 3.754408661907416e+00 };
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	2998
14771 10ed11922f19 maint: code cleanup for new erfcinv function. Rik <octave@nomad.inbox5.com> parents: 14770 diff changeset	2999 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	3000 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	3001 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	3002 double y;
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3003
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3004 // Select case.
14786 e70a0c9cada6 Pre-compute bounds (constant folding) for erfcinv function. Rik <octave@nomad.inbox5.com> parents: 14781 diff changeset	3005 if (x >= pbreak_lo && x <= pbreak_hi)
14770 cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3006 {
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3007 // Middle region.
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3008 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	3009 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	3010 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	3011 y = yn / yd;
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3012 }
14786 e70a0c9cada6 Pre-compute bounds (constant folding) for erfcinv function. Rik <octave@nomad.inbox5.com> parents: 14781 diff changeset	3013 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	3014 {
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3015 // Tail region.
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3016 const double q = x < 1 ? sqrt (-2log (0.5x)) : sqrt (-2log (0.5(2-x)));
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3017 const double yn = ((((c[0]q + c[1])q + c[2])q + c[3])q + c[4])*q + c[5];
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3018 const double yd = (((d[0]q + d[1])q + d[2])q + d[3])q + 1.0;
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3019 y = yn / yd;
14786 e70a0c9cada6 Pre-compute bounds (constant folding) for erfcinv function. Rik <octave@nomad.inbox5.com> parents: 14781 diff changeset	3020 if (x < pbreak_lo)
e70a0c9cada6 Pre-compute bounds (constant folding) for erfcinv function. Rik <octave@nomad.inbox5.com> parents: 14781 diff changeset	3021 y = -y;
14770 cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3022 }
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3023 else if (x == 0.0)
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3024 return octave_Inf;
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3025 else if (x == 2.0)
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3026 return -octave_Inf;
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3027 else
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3028 return octave_NaN;
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3029
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3030 if (refine)
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3031 {
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3032 // 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	3033 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	3034 y -= u / (1 + y*u);
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3035 }
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3036
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3037 return y;
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3038 }
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3039
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3040 double erfcinv (double x)
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3041 {
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3042 return do_erfcinv (x, true);
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3043 }
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3044
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3045 float erfcinv (float x)
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3046 {
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3047 return do_erfcinv (x, false);
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3048 }
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3049
10391 59e34bcdff13 implement built-in erfcx Jaroslav Hajek <highegg@gmail.com> parents: 10352 diff changeset	3050 // Implementation based on the Fortran code by W.J.Cody
59e34bcdff13 implement built-in erfcx Jaroslav Hajek <highegg@gmail.com> parents: 10352 diff changeset	3051 // see http://www.netlib.org/specfun/erf.
59e34bcdff13 implement built-in erfcx Jaroslav Hajek <highegg@gmail.com> parents: 10352 diff changeset	3052 // Templatized and simplified workflow.
59e34bcdff13 implement built-in erfcx Jaroslav Hajek <highegg@gmail.com> parents: 10352 diff changeset	3053
59e34bcdff13 implement built-in erfcx Jaroslav Hajek <highegg@gmail.com> parents: 10352 diff changeset	3054 // FIXME: Maybe this should be globally visible.
59e34bcdff13 implement built-in erfcx Jaroslav Hajek <highegg@gmail.com> parents: 10352 diff changeset	3055 static inline float erfc (float x) { return erfcf (x); }
59e34bcdff13 implement built-in erfcx Jaroslav Hajek <highegg@gmail.com> parents: 10352 diff changeset	3056
59e34bcdff13 implement built-in erfcx Jaroslav Hajek <highegg@gmail.com> parents: 10352 diff changeset	3057 template <class T>
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11574 diff changeset	3058 static T
10391 59e34bcdff13 implement built-in erfcx Jaroslav Hajek <highegg@gmail.com> parents: 10352 diff changeset	3059 erfcx_impl (T x)
59e34bcdff13 implement built-in erfcx Jaroslav Hajek <highegg@gmail.com> parents: 10352 diff changeset	3060 {
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11574 diff changeset	3061 static const T c[] =
12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11574 diff changeset	3062 {
10391 59e34bcdff13 implement built-in erfcx Jaroslav Hajek <highegg@gmail.com> parents: 10352 diff changeset	3063 5.64188496988670089e-1,8.88314979438837594,
59e34bcdff13 implement built-in erfcx Jaroslav Hajek <highegg@gmail.com> parents: 10352 diff changeset	3064 6.61191906371416295e+1,2.98635138197400131e+2,
59e34bcdff13 implement built-in erfcx Jaroslav Hajek <highegg@gmail.com> parents: 10352 diff changeset	3065 8.81952221241769090e+2,1.71204761263407058e+3,
59e34bcdff13 implement built-in erfcx Jaroslav Hajek <highegg@gmail.com> parents: 10352 diff changeset	3066 2.05107837782607147e+3,1.23033935479799725e+3,
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11574 diff changeset	3067 2.15311535474403846e-8
10391 59e34bcdff13 implement built-in erfcx Jaroslav Hajek <highegg@gmail.com> parents: 10352 diff changeset	3068 };
59e34bcdff13 implement built-in erfcx Jaroslav Hajek <highegg@gmail.com> parents: 10352 diff changeset	3069
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11574 diff changeset	3070 static const T d[] =
12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11574 diff changeset	3071 {
10391 59e34bcdff13 implement built-in erfcx Jaroslav Hajek <highegg@gmail.com> parents: 10352 diff changeset	3072 1.57449261107098347e+1,1.17693950891312499e+2,
59e34bcdff13 implement built-in erfcx Jaroslav Hajek <highegg@gmail.com> parents: 10352 diff changeset	3073 5.37181101862009858e+2,1.62138957456669019e+3,
59e34bcdff13 implement built-in erfcx Jaroslav Hajek <highegg@gmail.com> parents: 10352 diff changeset	3074 3.29079923573345963e+3,4.36261909014324716e+3,
59e34bcdff13 implement built-in erfcx Jaroslav Hajek <highegg@gmail.com> parents: 10352 diff changeset	3075 3.43936767414372164e+3,1.23033935480374942e+3
59e34bcdff13 implement built-in erfcx Jaroslav Hajek <highegg@gmail.com> parents: 10352 diff changeset	3076 };
59e34bcdff13 implement built-in erfcx Jaroslav Hajek <highegg@gmail.com> parents: 10352 diff changeset	3077
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11574 diff changeset	3078 static const T p[] =
10391 59e34bcdff13 implement built-in erfcx Jaroslav Hajek <highegg@gmail.com> parents: 10352 diff changeset	3079 {
59e34bcdff13 implement built-in erfcx Jaroslav Hajek <highegg@gmail.com> parents: 10352 diff changeset	3080 3.05326634961232344e-1,3.60344899949804439e-1,
59e34bcdff13 implement built-in erfcx Jaroslav Hajek <highegg@gmail.com> parents: 10352 diff changeset	3081 1.25781726111229246e-1,1.60837851487422766e-2,
59e34bcdff13 implement built-in erfcx Jaroslav Hajek <highegg@gmail.com> parents: 10352 diff changeset	3082 6.58749161529837803e-4,1.63153871373020978e-2
59e34bcdff13 implement built-in erfcx Jaroslav Hajek <highegg@gmail.com> parents: 10352 diff changeset	3083 };
59e34bcdff13 implement built-in erfcx Jaroslav Hajek <highegg@gmail.com> parents: 10352 diff changeset	3084
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11574 diff changeset	3085 static const T q[] =
10391 59e34bcdff13 implement built-in erfcx Jaroslav Hajek <highegg@gmail.com> parents: 10352 diff changeset	3086 {
59e34bcdff13 implement built-in erfcx Jaroslav Hajek <highegg@gmail.com> parents: 10352 diff changeset	3087 2.56852019228982242,1.87295284992346047,
59e34bcdff13 implement built-in erfcx Jaroslav Hajek <highegg@gmail.com> parents: 10352 diff changeset	3088 5.27905102951428412e-1,6.05183413124413191e-2,
59e34bcdff13 implement built-in erfcx Jaroslav Hajek <highegg@gmail.com> parents: 10352 diff changeset	3089 2.33520497626869185e-3
59e34bcdff13 implement built-in erfcx Jaroslav Hajek <highegg@gmail.com> parents: 10352 diff changeset	3090 };
59e34bcdff13 implement built-in erfcx Jaroslav Hajek <highegg@gmail.com> parents: 10352 diff changeset	3091
59e34bcdff13 implement built-in erfcx Jaroslav Hajek <highegg@gmail.com> parents: 10352 diff changeset	3092 static const T sqrpi = 5.6418958354775628695e-1;
59e34bcdff13 implement built-in erfcx Jaroslav Hajek <highegg@gmail.com> parents: 10352 diff changeset	3093 static const T xhuge = sqrt (1.0 / std::numeric_limits<T>::epsilon ());
59e34bcdff13 implement built-in erfcx Jaroslav Hajek <highegg@gmail.com> parents: 10352 diff changeset	3094 static const T xneg = -sqrt (log (std::numeric_limits<T>::max ()/2.0));
59e34bcdff13 implement built-in erfcx Jaroslav Hajek <highegg@gmail.com> parents: 10352 diff changeset	3095
59e34bcdff13 implement built-in erfcx Jaroslav Hajek <highegg@gmail.com> parents: 10352 diff changeset	3096 double y = fabs (x), result;
59e34bcdff13 implement built-in erfcx Jaroslav Hajek <highegg@gmail.com> parents: 10352 diff changeset	3097 if (x < xneg)
59e34bcdff13 implement built-in erfcx Jaroslav Hajek <highegg@gmail.com> parents: 10352 diff changeset	3098 result = octave_Inf;
59e34bcdff13 implement built-in erfcx Jaroslav Hajek <highegg@gmail.com> parents: 10352 diff changeset	3099 else if (y <= 0.46875)
59e34bcdff13 implement built-in erfcx Jaroslav Hajek <highegg@gmail.com> parents: 10352 diff changeset	3100 result = std::exp (xx) erfc (x);
59e34bcdff13 implement built-in erfcx Jaroslav Hajek <highegg@gmail.com> parents: 10352 diff changeset	3101 else
59e34bcdff13 implement built-in erfcx Jaroslav Hajek <highegg@gmail.com> parents: 10352 diff changeset	3102 {
59e34bcdff13 implement built-in erfcx Jaroslav Hajek <highegg@gmail.com> parents: 10352 diff changeset	3103 if (y <= 4.0)
59e34bcdff13 implement built-in erfcx Jaroslav Hajek <highegg@gmail.com> parents: 10352 diff changeset	3104 {
59e34bcdff13 implement built-in erfcx Jaroslav Hajek <highegg@gmail.com> parents: 10352 diff changeset	3105 double xnum = c[8]*y, xden = y;
59e34bcdff13 implement built-in erfcx Jaroslav Hajek <highegg@gmail.com> parents: 10352 diff changeset	3106 for (int i = 0; i < 7; i++)
59e34bcdff13 implement built-in erfcx Jaroslav Hajek <highegg@gmail.com> parents: 10352 diff changeset	3107 {
59e34bcdff13 implement built-in erfcx Jaroslav Hajek <highegg@gmail.com> parents: 10352 diff changeset	3108 xnum = (xnum + c[i]) * y;
59e34bcdff13 implement built-in erfcx Jaroslav Hajek <highegg@gmail.com> parents: 10352 diff changeset	3109 xden = (xden + d[i]) * y;
59e34bcdff13 implement built-in erfcx Jaroslav Hajek <highegg@gmail.com> parents: 10352 diff changeset	3110 }
59e34bcdff13 implement built-in erfcx Jaroslav Hajek <highegg@gmail.com> parents: 10352 diff changeset	3111
59e34bcdff13 implement built-in erfcx Jaroslav Hajek <highegg@gmail.com> parents: 10352 diff changeset	3112 result = (xnum + c[7]) / (xden + d[7]);
59e34bcdff13 implement built-in erfcx Jaroslav Hajek <highegg@gmail.com> parents: 10352 diff changeset	3113 }
59e34bcdff13 implement built-in erfcx Jaroslav Hajek <highegg@gmail.com> parents: 10352 diff changeset	3114 else if (y <= xhuge)
59e34bcdff13 implement built-in erfcx Jaroslav Hajek <highegg@gmail.com> parents: 10352 diff changeset	3115 {
59e34bcdff13 implement built-in erfcx Jaroslav Hajek <highegg@gmail.com> parents: 10352 diff changeset	3116 double y2 = 1/(yy), xnum = p[5]y2, xden = y2;
59e34bcdff13 implement built-in erfcx Jaroslav Hajek <highegg@gmail.com> parents: 10352 diff changeset	3117 for (int i = 0; i < 4; i++)
59e34bcdff13 implement built-in erfcx Jaroslav Hajek <highegg@gmail.com> parents: 10352 diff changeset	3118 {
59e34bcdff13 implement built-in erfcx Jaroslav Hajek <highegg@gmail.com> parents: 10352 diff changeset	3119 xnum = (xnum + p[i]) * y2;
59e34bcdff13 implement built-in erfcx Jaroslav Hajek <highegg@gmail.com> parents: 10352 diff changeset	3120 xden = (xden + q[i]) * y2;
59e34bcdff13 implement built-in erfcx Jaroslav Hajek <highegg@gmail.com> parents: 10352 diff changeset	3121 }
59e34bcdff13 implement built-in erfcx Jaroslav Hajek <highegg@gmail.com> parents: 10352 diff changeset	3122
59e34bcdff13 implement built-in erfcx Jaroslav Hajek <highegg@gmail.com> parents: 10352 diff changeset	3123 result = y2 * (xnum + p[4]) / (xden + q[4]);
59e34bcdff13 implement built-in erfcx Jaroslav Hajek <highegg@gmail.com> parents: 10352 diff changeset	3124 result = (sqrpi - result) / y;
59e34bcdff13 implement built-in erfcx Jaroslav Hajek <highegg@gmail.com> parents: 10352 diff changeset	3125 }
59e34bcdff13 implement built-in erfcx Jaroslav Hajek <highegg@gmail.com> parents: 10352 diff changeset	3126 else
59e34bcdff13 implement built-in erfcx Jaroslav Hajek <highegg@gmail.com> parents: 10352 diff changeset	3127 result = sqrpi / y;
59e34bcdff13 implement built-in erfcx Jaroslav Hajek <highegg@gmail.com> parents: 10352 diff changeset	3128
59e34bcdff13 implement built-in erfcx Jaroslav Hajek <highegg@gmail.com> parents: 10352 diff changeset	3129 // Fix up negative argument.
59e34bcdff13 implement built-in erfcx Jaroslav Hajek <highegg@gmail.com> parents: 10352 diff changeset	3130 if (x < 0)
59e34bcdff13 implement built-in erfcx Jaroslav Hajek <highegg@gmail.com> parents: 10352 diff changeset	3131 {
59e34bcdff13 implement built-in erfcx Jaroslav Hajek <highegg@gmail.com> parents: 10352 diff changeset	3132 double y2 = ceil (x / 16.0) * 16.0, del = (x-y2)*(x+y2);
59e34bcdff13 implement built-in erfcx Jaroslav Hajek <highegg@gmail.com> parents: 10352 diff changeset	3133 result = 2(std::exp(y2y2) * std::exp(del)) - result;
59e34bcdff13 implement built-in erfcx Jaroslav Hajek <highegg@gmail.com> parents: 10352 diff changeset	3134 }
59e34bcdff13 implement built-in erfcx Jaroslav Hajek <highegg@gmail.com> parents: 10352 diff changeset	3135 }
59e34bcdff13 implement built-in erfcx Jaroslav Hajek <highegg@gmail.com> parents: 10352 diff changeset	3136
59e34bcdff13 implement built-in erfcx Jaroslav Hajek <highegg@gmail.com> parents: 10352 diff changeset	3137 return result;
59e34bcdff13 implement built-in erfcx Jaroslav Hajek <highegg@gmail.com> parents: 10352 diff changeset	3138 }
59e34bcdff13 implement built-in erfcx Jaroslav Hajek <highegg@gmail.com> parents: 10352 diff changeset	3139
59e34bcdff13 implement built-in erfcx Jaroslav Hajek <highegg@gmail.com> parents: 10352 diff changeset	3140 double erfcx (double x)
59e34bcdff13 implement built-in erfcx Jaroslav Hajek <highegg@gmail.com> parents: 10352 diff changeset	3141 {
59e34bcdff13 implement built-in erfcx Jaroslav Hajek <highegg@gmail.com> parents: 10352 diff changeset	3142 return erfcx_impl (x);
59e34bcdff13 implement built-in erfcx Jaroslav Hajek <highegg@gmail.com> parents: 10352 diff changeset	3143 }
59e34bcdff13 implement built-in erfcx Jaroslav Hajek <highegg@gmail.com> parents: 10352 diff changeset	3144
59e34bcdff13 implement built-in erfcx Jaroslav Hajek <highegg@gmail.com> parents: 10352 diff changeset	3145 float erfcx (float x)
59e34bcdff13 implement built-in erfcx Jaroslav Hajek <highegg@gmail.com> parents: 10352 diff changeset	3146 {
59e34bcdff13 implement built-in erfcx Jaroslav Hajek <highegg@gmail.com> parents: 10352 diff changeset	3147 return erfcx_impl (x);
59e34bcdff13 implement built-in erfcx Jaroslav Hajek <highegg@gmail.com> parents: 10352 diff changeset	3148 }
14816 0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3149
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3150 //
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3151 // Incomplete Beta function ratio
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3152 //
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3153 // Algorithm based on the one by John Burkardt.
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3154 // 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	3155 //
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3156 // The original code is distributed under the GNU LGPL license.
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3157 //
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3158 // Reference:
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3159 //
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3160 // KL Majumder, GP Bhattacharjee,
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3161 // Algorithm AS 63:
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3162 // The incomplete Beta Integral,
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3163 // Applied Statistics,
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3164 // Volume 22, Number 3, 1973, pages 409-411.
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3165 //
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3166 double
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3167 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	3168 {
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3169 double acu = 0.1E-14, ai, cx;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3170 bool indx;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3171 int ns;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3172 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	3173
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3174 value = x;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3175 err = false;
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 // Check the input arguments.
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3178
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3179 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	3180 {
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3181 err = true;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3182 return value;
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
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3185 // Special cases.
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3186
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3187 if (x == 0.0 \|\| x == 1.0)
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3188 {
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3189 return value;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3190 }
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3191
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3192 // Change tail if necessary and determine S.
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3193
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3194 psq = p + q;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3195 cx = 1.0 - x;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3196
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3197 if (p < psq * x)
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3198 {
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3199 xx = cx;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3200 cx = x;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3201 pp = q;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3202 qq = p;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3203 indx = true;
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 else
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3206 {
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3207 xx = x;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3208 pp = p;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3209 qq = q;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3210 indx = false;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3211 }
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 term = 1.0;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3214 ai = 1.0;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3215 value = 1.0;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3216 ns = (int) (qq + cx * psq);
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 // Use the Soper reduction formula.
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3219
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3220 rx = xx / cx;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3221 temp = qq - ai;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3222 if (ns == 0)
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3223 {
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3224 rx = xx;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3225 }
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3226
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3227 for ( ; ; )
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 term = term * temp * rx / (pp + ai);
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3230 value = value + term;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3231 temp = fabs (term);
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3232
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3233 if (temp <= acu && temp <= acu * value)
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3234 {
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3235 value = value * exp (pp * log (xx)
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3236 + (qq - 1.0) * log (cx) - beta) / pp;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3237
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3238 if (indx)
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3239 {
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3240 value = 1.0 - value;
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 break;
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
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3245 ai = ai + 1.0;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3246 ns = ns - 1;
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 if (0 <= ns)
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 temp = qq - ai;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3251 if (ns == 0)
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 rx = xx;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3254 }
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3255 }
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3256 else
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3257 {
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3258 temp = psq;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3259 psq = psq + 1.0;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3260 }
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
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3263 return value;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3264 }
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 //
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3267 // Inverse of the incomplete Beta function
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 // Algorithm based on the one by John Burkardt.
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3270 // 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	3271 //
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3272 // The original code is distributed under the GNU LGPL license.
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 // Reference:
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3275 //
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3276 // GW Cran, KJ Martin, GE Thomas,
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3277 // Remark AS R19 and Algorithm AS 109:
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3278 // 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	3279 // 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	3280 // Applied Statistics,
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3281 // Volume 26, Number 1, 1977, pages 111-114.
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3282 //
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3283 double
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3284 betaincinv (double y, double p, double q) {
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3285 double a, acu, adj, fpu, g, h;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3286 int iex;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3287 bool indx;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3288 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	3289
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3290 double beta = lgamma (p) + lgamma (q) - lgamma (p + q);
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3291 bool err = false;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3292 fpu = pow (10.0, sae);
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3293 value = y;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3294
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3295 // Test for admissibility of parameters.
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3296
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3297 if (p <= 0.0 \|\| q <= 0.0)
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3298 {
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3299 (*current_liboctave_error_handler)
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3300 ("betaincinv: wrong parameters");
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3301 }
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3302
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3303 if (y < 0.0 \|\| 1.0 < y)
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3304 {
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3305 (*current_liboctave_error_handler)
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3306 ("betaincinv: wrong parameter Y");
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3307 }
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3308
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3309 if (y == 0.0 \|\| y == 1.0)
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3310 {
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3311 return value;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3312 }
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3313
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3314 // Change tail if necessary.
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3315
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3316 if (0.5 < y)
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3317 {
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3318 a = 1.0 - y;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3319 pp = q;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3320 qq = p;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3321 indx = true;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3322 }
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3323 else
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3324 {
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3325 a = y;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3326 pp = p;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3327 qq = q;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3328 indx = false;
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
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3331 // Calculate the initial approximation.
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 r = sqrt (- log (a * a));
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3334
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3335 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	3336
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3337 if (1.0 < pp && 1.0 < qq)
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 r = (ycur * ycur - 3.0) / 6.0;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3340 s = 1.0 / (pp + pp - 1.0);
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3341 t = 1.0 / (qq + qq - 1.0);
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3342 h = 2.0 / (s + t);
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3343 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	3344 value = pp / (pp + qq * exp (w + w));
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3345 }
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3346 else
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 r = qq + qq;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3349 t = 1.0 / (9.0 * qq);
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3350 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	3351
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3352 if (t <= 0.0)
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3353 {
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3354 value = 1.0 - exp ((log ((1.0 - a) * qq) + beta) / qq);
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 else
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3357 {
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3358 t = (4.0 * pp + r - 2.0) / t;
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 if (t <= 1.0)
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 value = exp ((log (a * pp) + beta) / pp);
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 else
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3365 {
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3366 value = 1.0 - 2.0 / (t + 1.0);
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3367 }
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3368 }
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3369 }
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 // 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	3372 // using the function BETAIN.
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3373
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3374 r = 1.0 - pp;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3375 t = 1.0 - qq;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3376 yprev = 0.0;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3377 sq = 1.0;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3378 prev = 1.0;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3379
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3380 if (value < 0.0001)
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3381 {
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3382 value = 0.0001;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3383 }
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 (0.9999 < value)
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3386 {
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3387 value = 0.9999;
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
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3390 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	3391
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3392 acu = pow (10.0, iex);
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 for ( ; ; )
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 ycur = betain (value, pp, qq, beta, err);
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3397
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3398 if (err)
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3399 {
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3400 return value;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3401 }
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3402
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3403 xin = value;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3404 ycur = (ycur - a) * exp (beta + r * log (xin) + t * log (1.0 - xin));
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3405
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3406 if (ycur * yprev <= 0.0)
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3407 {
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3408 prev = std::max (sq, fpu);
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
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3411 g = 1.0;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3412
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3413 for ( ; ; )
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 for ( ; ; )
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 adj = g * ycur;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3418 sq = adj * adj;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3419
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3420 if (sq < prev)
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3421 {
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3422 tx = value - adj;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3423
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3424 if (0.0 <= tx && tx <= 1.0)
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3425 {
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3426 break;
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 }
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3429 g = g / 3.0;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3430 }
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 (prev <= acu)
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 if (indx)
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 value = 1.0 - value;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3437 }
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3438 return value;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3439 }
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 if (ycur * ycur <= acu)
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 if (indx)
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3444 {
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3445 value = 1.0 - value;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3446 }
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3447 return value;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3448 }
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 (tx != 0.0 && 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 (tx == value)
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 break;
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
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3463 value = tx;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3464 yprev = ycur;
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 (indx)
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 value = 1.0 - value;
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
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3472 return value;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3473 }
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 Matrix
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3476 betaincinv (double x, double a, const Matrix& b)
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 octave_idx_type nr = b.rows ();
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3479 octave_idx_type nc = b.cols ();
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 Matrix retval (nr, nc);
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 for (octave_idx_type j = 0; j < nc; j++)
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3484 for (octave_idx_type i = 0; i < nr; i++)
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3485 retval(i,j) = betaincinv (x, a, b(i,j));
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3486
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3487 return retval;
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
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3490 Matrix
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3491 betaincinv (double x, const Matrix& a, double b)
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 octave_idx_type nr = a.rows ();
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3494 octave_idx_type nc = a.cols ();
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3495
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3496 Matrix retval (nr, nc);
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 for (octave_idx_type j = 0; j < nc; j++)
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3499 for (octave_idx_type i = 0; i < nr; i++)
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3500 retval(i,j) = betaincinv (x, a(i,j), b);
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3501
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3502 return retval;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3503 }
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3504
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3505 Matrix
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3506 betaincinv (double x, const Matrix& a, const Matrix& b)
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3507 {
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3508 Matrix retval;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3509
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3510 octave_idx_type a_nr = a.rows ();
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3511 octave_idx_type a_nc = a.cols ();
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3512
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3513 octave_idx_type b_nr = b.rows ();
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3514 octave_idx_type b_nc = b.cols ();
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 if (a_nr == b_nr && a_nc == b_nc)
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3517 {
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3518 retval.resize (a_nr, a_nc);
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3519
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3520 for (octave_idx_type j = 0; j < a_nc; j++)
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3521 for (octave_idx_type i = 0; i < a_nr; i++)
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3522 retval(i,j) = betaincinv (x, a(i,j), b(i,j));
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3523 }
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3524 else
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3525 gripe_betaincinv_nonconformant (1, 1, a_nr, a_nc, b_nr, b_nc);
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3526
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3527 return retval;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3528 }
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 Matrix
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3531 betaincinv (const Matrix& x, double a, double b)
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3532 {
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3533 octave_idx_type nr = x.rows ();
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3534 octave_idx_type nc = x.cols ();
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3535
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3536 Matrix retval (nr, nc);
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3537
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3538 for (octave_idx_type j = 0; j < nc; j++)
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3539 for (octave_idx_type i = 0; i < nr; i++)
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3540 retval(i,j) = betaincinv (x(i,j), a, b);
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3541
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3542 return retval;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3543 }
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3544
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3545 Matrix
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3546 betaincinv (const Matrix& x, double a, const Matrix& b)
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3547 {
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3548 Matrix retval;
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 octave_idx_type nr = x.rows ();
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3551 octave_idx_type nc = x.cols ();
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 octave_idx_type b_nr = b.rows ();
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3554 octave_idx_type b_nc = b.cols ();
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3555
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3556 if (nr == b_nr && nc == b_nc)
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3557 {
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3558 retval.resize (nr, nc);
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3559
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3560 for (octave_idx_type j = 0; j < nc; j++)
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3561 for (octave_idx_type i = 0; i < nr; i++)
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3562 retval(i,j) = betaincinv (x(i,j), a, b(i,j));
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3563 }
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3564 else
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3565 gripe_betaincinv_nonconformant (nr, nc, 1, 1, b_nr, b_nc);
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3566
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3567 return retval;
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
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3570 Matrix
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3571 betaincinv (const Matrix& x, const Matrix& a, double b)
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3572 {
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3573 Matrix retval;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3574
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3575 octave_idx_type nr = x.rows ();
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3576 octave_idx_type nc = x.cols ();
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3577
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3578 octave_idx_type a_nr = a.rows ();
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3579 octave_idx_type a_nc = a.cols ();
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3580
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3581 if (nr == a_nr && nc == a_nc)
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3582 {
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3583 retval.resize (nr, nc);
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3584
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3585 for (octave_idx_type j = 0; j < nc; j++)
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3586 for (octave_idx_type i = 0; i < nr; i++)
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3587 retval(i,j) = betaincinv (x(i,j), a(i,j), b);
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
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3590 gripe_betaincinv_nonconformant (nr, nc, a_nr, a_nc, 1, 1);
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
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3595 Matrix
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3596 betaincinv (const Matrix& x, const Matrix& a, const Matrix& b)
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3597 {
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3598 Matrix retval;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3599
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3600 octave_idx_type nr = x.rows ();
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3601 octave_idx_type nc = x.cols ();
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3602
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3603 octave_idx_type a_nr = a.rows ();
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3604 octave_idx_type a_nc = a.cols ();
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3605
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3606 octave_idx_type b_nr = b.rows ();
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3607 octave_idx_type b_nc = b.cols ();
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3608
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3609 if (nr == a_nr && nr == b_nr && nc == a_nc && nc == b_nc)
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3610 {
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3611 retval.resize (nr, nc);
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3612
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3613 for (octave_idx_type j = 0; j < nc; j++)
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3614 for (octave_idx_type i = 0; i < nr; i++)
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3615 retval(i,j) = betaincinv (x(i,j), a(i,j), b(i,j));
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 else
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3618 gripe_betaincinv_nonconformant (nr, nc, a_nr, a_nc, b_nr, b_nc);
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3619
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3620 return retval;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3621 }

Mercurial > hg > octave-lyh

annotate liboctave/lo-specfun.cc @ 14816:0a868d90436b