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

annotate liboctave/numeric/lo-specfun.cc @ 17532:578805a293e5

ellipj: Move numerical code into liboctave * lo-specfun.cc, lo-specfun.h (ellipj): New functions, adapted from Fellipj. * ellipj.cc (Fellipj): Call ellipj. (do_ellipj): Delete.

author	Mike Miller <mtmiller@ieee.org>
date	Thu, 26 Sep 2013 21:34:26 -0400
parents	cd115ec92248
children

rev	line source
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	1 /*
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2
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
15696 2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package. Steven G. Johnson <stevenj@alum.mit.edu> parents: 15271 diff changeset	49 #include "Faddeeva.hh"
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package. Steven G. Johnson <stevenj@alum.mit.edu> parents: 15271 diff changeset	50
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	51 extern "C"
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	52 {
4552 6f3382e08a52 [project @ 2003-10-27 20:38:02 by jwe] jwe parents: 4506 diff changeset	53 F77_RET_T
6f3382e08a52 [project @ 2003-10-27 20:38:02 by jwe] jwe parents: 4506 diff changeset	54 F77_FUNC (zbesj, ZBESJ) (const double&, const double&, const double&,
11518 141b3fb5cef7 style fixes John W. Eaton <jwe@octave.org> parents: 11327 diff changeset	55 const octave_idx_type&, const octave_idx_type&,
141b3fb5cef7 style fixes John W. Eaton <jwe@octave.org> parents: 11327 diff changeset	56 double, double, octave_idx_type&,
141b3fb5cef7 style fixes John W. Eaton <jwe@octave.org> parents: 11327 diff changeset	57 octave_idx_type&);
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	58
4552 6f3382e08a52 [project @ 2003-10-27 20:38:02 by jwe] jwe parents: 4506 diff changeset	59 F77_RET_T
6f3382e08a52 [project @ 2003-10-27 20:38:02 by jwe] jwe parents: 4506 diff changeset	60 F77_FUNC (zbesy, ZBESY) (const double&, const double&, const double&,
11518 141b3fb5cef7 style fixes John W. Eaton <jwe@octave.org> parents: 11327 diff changeset	61 const octave_idx_type&, const octave_idx_type&,
141b3fb5cef7 style fixes John W. Eaton <jwe@octave.org> parents: 11327 diff changeset	62 double, double, octave_idx_type&, double*,
141b3fb5cef7 style fixes John W. Eaton <jwe@octave.org> parents: 11327 diff changeset	63 double*, octave_idx_type&);
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	64
4552 6f3382e08a52 [project @ 2003-10-27 20:38:02 by jwe] jwe parents: 4506 diff changeset	65 F77_RET_T
6f3382e08a52 [project @ 2003-10-27 20:38:02 by jwe] jwe parents: 4506 diff changeset	66 F77_FUNC (zbesi, ZBESI) (const double&, const double&, const double&,
11518 141b3fb5cef7 style fixes John W. Eaton <jwe@octave.org> parents: 11327 diff changeset	67 const octave_idx_type&, const octave_idx_type&,
141b3fb5cef7 style fixes John W. Eaton <jwe@octave.org> parents: 11327 diff changeset	68 double, double, octave_idx_type&,
141b3fb5cef7 style fixes John W. Eaton <jwe@octave.org> parents: 11327 diff changeset	69 octave_idx_type&);
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	70
4552 6f3382e08a52 [project @ 2003-10-27 20:38:02 by jwe] jwe parents: 4506 diff changeset	71 F77_RET_T
6f3382e08a52 [project @ 2003-10-27 20:38:02 by jwe] jwe parents: 4506 diff changeset	72 F77_FUNC (zbesk, ZBESK) (const double&, const double&, const double&,
11518 141b3fb5cef7 style fixes John W. Eaton <jwe@octave.org> parents: 11327 diff changeset	73 const octave_idx_type&, const octave_idx_type&,
141b3fb5cef7 style fixes John W. Eaton <jwe@octave.org> parents: 11327 diff changeset	74 double, double, octave_idx_type&,
141b3fb5cef7 style fixes John W. Eaton <jwe@octave.org> parents: 11327 diff changeset	75 octave_idx_type&);
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	76
4552 6f3382e08a52 [project @ 2003-10-27 20:38:02 by jwe] jwe parents: 4506 diff changeset	77 F77_RET_T
6f3382e08a52 [project @ 2003-10-27 20:38:02 by jwe] jwe parents: 4506 diff changeset	78 F77_FUNC (zbesh, ZBESH) (const double&, const double&, const double&,
11518 141b3fb5cef7 style fixes John W. Eaton <jwe@octave.org> parents: 11327 diff changeset	79 const octave_idx_type&, const octave_idx_type&,
141b3fb5cef7 style fixes John W. Eaton <jwe@octave.org> parents: 11327 diff changeset	80 const octave_idx_type&, double, double,
141b3fb5cef7 style fixes John W. Eaton <jwe@octave.org> parents: 11327 diff changeset	81 octave_idx_type&, octave_idx_type&);
4552 6f3382e08a52 [project @ 2003-10-27 20:38:02 by jwe] jwe parents: 4506 diff changeset	82
6f3382e08a52 [project @ 2003-10-27 20:38:02 by jwe] jwe parents: 4506 diff changeset	83 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	84 F77_FUNC (cbesj, cBESJ) (const FloatComplex&, const float&,
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	85 const octave_idx_type&, const octave_idx_type&,
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	86 FloatComplex*, octave_idx_type&, octave_idx_type&);
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	87
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	88 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	89 F77_FUNC (cbesy, CBESY) (const FloatComplex&, const float&,
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	90 const octave_idx_type&, const octave_idx_type&,
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	91 FloatComplex*, octave_idx_type&,
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	92 FloatComplex*, octave_idx_type&);
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	93
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	94 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	95 F77_FUNC (cbesi, CBESI) (const FloatComplex&, const float&,
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	96 const octave_idx_type&, const octave_idx_type&,
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	97 FloatComplex*, octave_idx_type&, octave_idx_type&);
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	98
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	99 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	100 F77_FUNC (cbesk, CBESK) (const FloatComplex&, const float&,
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	101 const octave_idx_type&, const octave_idx_type&,
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	102 FloatComplex*, octave_idx_type&, octave_idx_type&);
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	103
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	104 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	105 F77_FUNC (cbesh, CBESH) (const FloatComplex&, const float&,
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	106 const octave_idx_type&, const octave_idx_type&,
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	107 const octave_idx_type&, FloatComplex*,
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	108 octave_idx_type&, octave_idx_type&);
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	109
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	110 F77_RET_T
11518 141b3fb5cef7 style fixes John W. Eaton <jwe@octave.org> parents: 11327 diff changeset	111 F77_FUNC (zairy, ZAIRY) (const double&, const double&,
141b3fb5cef7 style fixes John W. Eaton <jwe@octave.org> parents: 11327 diff changeset	112 const octave_idx_type&, const octave_idx_type&,
141b3fb5cef7 style fixes John W. Eaton <jwe@octave.org> parents: 11327 diff changeset	113 double&, double&, octave_idx_type&,
141b3fb5cef7 style fixes John W. Eaton <jwe@octave.org> parents: 11327 diff changeset	114 octave_idx_type&);
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	115
4552 6f3382e08a52 [project @ 2003-10-27 20:38:02 by jwe] jwe parents: 4506 diff changeset	116 F77_RET_T
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	117 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	118 const octave_idx_type&, float&, float&,
141b3fb5cef7 style fixes John W. Eaton <jwe@octave.org> parents: 11327 diff changeset	119 octave_idx_type&, octave_idx_type&);
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	120
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	121 F77_RET_T
11518 141b3fb5cef7 style fixes John W. Eaton <jwe@octave.org> parents: 11327 diff changeset	122 F77_FUNC (zbiry, ZBIRY) (const double&, const double&,
141b3fb5cef7 style fixes John W. Eaton <jwe@octave.org> parents: 11327 diff changeset	123 const octave_idx_type&, const octave_idx_type&,
141b3fb5cef7 style fixes John W. Eaton <jwe@octave.org> parents: 11327 diff changeset	124 double&, double&, octave_idx_type&);
4552 6f3382e08a52 [project @ 2003-10-27 20:38:02 by jwe] jwe parents: 4506 diff changeset	125
6f3382e08a52 [project @ 2003-10-27 20:38:02 by jwe] jwe parents: 4506 diff changeset	126 F77_RET_T
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	127 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	128 const octave_idx_type&, float&, float&,
141b3fb5cef7 style fixes John W. Eaton <jwe@octave.org> parents: 11327 diff changeset	129 octave_idx_type&);
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	130
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	131 F77_RET_T
4552 6f3382e08a52 [project @ 2003-10-27 20:38:02 by jwe] jwe parents: 4506 diff changeset	132 F77_FUNC (xdacosh, XDACOSH) (const double&, double&);
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	133
4552 6f3382e08a52 [project @ 2003-10-27 20:38:02 by jwe] jwe parents: 4506 diff changeset	134 F77_RET_T
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	135 F77_FUNC (xacosh, XACOSH) (const float&, float&);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	136
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	137 F77_RET_T
4552 6f3382e08a52 [project @ 2003-10-27 20:38:02 by jwe] jwe parents: 4506 diff changeset	138 F77_FUNC (xdasinh, XDASINH) (const double&, double&);
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	139
4552 6f3382e08a52 [project @ 2003-10-27 20:38:02 by jwe] jwe parents: 4506 diff changeset	140 F77_RET_T
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	141 F77_FUNC (xasinh, XASINH) (const float&, float&);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	142
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	143 F77_RET_T
4552 6f3382e08a52 [project @ 2003-10-27 20:38:02 by jwe] jwe parents: 4506 diff changeset	144 F77_FUNC (xdatanh, XDATANH) (const double&, double&);
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	145
4552 6f3382e08a52 [project @ 2003-10-27 20:38:02 by jwe] jwe parents: 4506 diff changeset	146 F77_RET_T
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	147 F77_FUNC (xatanh, XATANH) (const float&, float&);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	148
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	149 F77_RET_T
4552 6f3382e08a52 [project @ 2003-10-27 20:38:02 by jwe] jwe parents: 4506 diff changeset	150 F77_FUNC (xderf, XDERF) (const double&, double&);
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	151
4552 6f3382e08a52 [project @ 2003-10-27 20:38:02 by jwe] jwe parents: 4506 diff changeset	152 F77_RET_T
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	153 F77_FUNC (xerf, XERF) (const float&, float&);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	154
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	155 F77_RET_T
4552 6f3382e08a52 [project @ 2003-10-27 20:38:02 by jwe] jwe parents: 4506 diff changeset	156 F77_FUNC (xderfc, XDERFC) (const double&, double&);
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	157
4552 6f3382e08a52 [project @ 2003-10-27 20:38:02 by jwe] jwe parents: 4506 diff changeset	158 F77_RET_T
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	159 F77_FUNC (xerfc, XERFC) (const float&, float&);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	160
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	161 F77_RET_T
4552 6f3382e08a52 [project @ 2003-10-27 20:38:02 by jwe] jwe parents: 4506 diff changeset	162 F77_FUNC (xdbetai, XDBETAI) (const double&, const double&,
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	163 const double&, double&);
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	164
4552 6f3382e08a52 [project @ 2003-10-27 20:38:02 by jwe] jwe parents: 4506 diff changeset	165 F77_RET_T
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	166 F77_FUNC (xbetai, XBETAI) (const float&, const float&,
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	167 const float&, float&);
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	168
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	169 F77_RET_T
4552 6f3382e08a52 [project @ 2003-10-27 20:38:02 by jwe] jwe parents: 4506 diff changeset	170 F77_FUNC (xdgamma, XDGAMMA) (const double&, double&);
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	171
4552 6f3382e08a52 [project @ 2003-10-27 20:38:02 by jwe] jwe parents: 4506 diff changeset	172 F77_RET_T
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	173 F77_FUNC (xgamma, XGAMMA) (const float&, float&);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	174
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	175 F77_RET_T
4552 6f3382e08a52 [project @ 2003-10-27 20:38:02 by jwe] jwe parents: 4506 diff changeset	176 F77_FUNC (xgammainc, XGAMMAINC) (const double&, const double&, double&);
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	177
4552 6f3382e08a52 [project @ 2003-10-27 20:38:02 by jwe] jwe parents: 4506 diff changeset	178 F77_RET_T
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	179 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	180
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	181 F77_RET_T
4552 6f3382e08a52 [project @ 2003-10-27 20:38:02 by jwe] jwe parents: 4506 diff changeset	182 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	183
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	184 F77_RET_T
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	185 F77_FUNC (algams, ALGAMS) (const float&, float&, float&);
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	186 }
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	187
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	188 #if !defined (HAVE_ACOSH)
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	189 double
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	190 acosh (double x)
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	191 {
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	192 double retval;
5278 fe23ec6763b7 [project @ 2005-04-12 21:04:39 by jwe] jwe parents: 5275 diff changeset	193 F77_XFCN (xdacosh, XDACOSH, (x, retval));
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	194 return retval;
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	195 }
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	196 #endif
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	197
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	198 #if !defined (HAVE_ACOSHF)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	199 float
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	200 acoshf (float x)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	201 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	202 float retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	203 F77_XFCN (xacosh, XACOSH, (x, retval));
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	204 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	205 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	206 #endif
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	207
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	208 #if !defined (HAVE_ASINH)
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	209 double
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	210 asinh (double x)
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	211 {
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	212 double retval;
5278 fe23ec6763b7 [project @ 2005-04-12 21:04:39 by jwe] jwe parents: 5275 diff changeset	213 F77_XFCN (xdasinh, XDASINH, (x, retval));
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	214 return retval;
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	215 }
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	216 #endif
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	217
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	218 #if !defined (HAVE_ASINHF)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	219 float
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	220 asinhf (float x)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	221 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	222 float retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	223 F77_XFCN (xasinh, XASINH, (x, retval));
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	224 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	225 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	226 #endif
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	227
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	228 #if !defined (HAVE_ATANH)
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	229 double
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	230 atanh (double x)
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	231 {
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	232 double retval;
5278 fe23ec6763b7 [project @ 2005-04-12 21:04:39 by jwe] jwe parents: 5275 diff changeset	233 F77_XFCN (xdatanh, XDATANH, (x, retval));
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	234 return retval;
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	235 }
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	236 #endif
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	237
7914 e998e81224b5 Various compilation fixes for MSVC. John W. Eaton <jwe@octave.org> parents: 7789 diff changeset	238 #if !defined (HAVE_ATANHF)
e998e81224b5 Various compilation fixes for MSVC. John W. Eaton <jwe@octave.org> parents: 7789 diff changeset	239 float
e998e81224b5 Various compilation fixes for MSVC. John W. Eaton <jwe@octave.org> parents: 7789 diff changeset	240 atanhf (float x)
e998e81224b5 Various compilation fixes for MSVC. John W. Eaton <jwe@octave.org> parents: 7789 diff changeset	241 {
e998e81224b5 Various compilation fixes for MSVC. John W. Eaton <jwe@octave.org> parents: 7789 diff changeset	242 float retval;
e998e81224b5 Various compilation fixes for MSVC. John W. Eaton <jwe@octave.org> parents: 7789 diff changeset	243 F77_XFCN (xatanh, XATANH, (x, retval));
e998e81224b5 Various compilation fixes for MSVC. John W. Eaton <jwe@octave.org> parents: 7789 diff changeset	244 return retval;
e998e81224b5 Various compilation fixes for MSVC. John W. Eaton <jwe@octave.org> parents: 7789 diff changeset	245 }
e998e81224b5 Various compilation fixes for MSVC. John W. Eaton <jwe@octave.org> parents: 7789 diff changeset	246 #endif
e998e81224b5 Various compilation fixes for MSVC. John W. Eaton <jwe@octave.org> parents: 7789 diff changeset	247
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	248 #if !defined (HAVE_ERF)
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	249 double
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	250 erf (double x)
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	251 {
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	252 double retval;
5278 fe23ec6763b7 [project @ 2005-04-12 21:04:39 by jwe] jwe parents: 5275 diff changeset	253 F77_XFCN (xderf, XDERF, (x, retval));
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	254 return retval;
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	255 }
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	256 #endif
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	257
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	258 #if !defined (HAVE_ERFF)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	259 float
7914 e998e81224b5 Various compilation fixes for MSVC. John W. Eaton <jwe@octave.org> parents: 7789 diff changeset	260 erff (float x)
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	261 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	262 float retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	263 F77_XFCN (xerf, XERF, (x, retval));
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	264 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	265 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	266 #endif
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	267
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	268 #if !defined (HAVE_ERFC)
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	269 double
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	270 erfc (double x)
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	271 {
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	272 double retval;
5278 fe23ec6763b7 [project @ 2005-04-12 21:04:39 by jwe] jwe parents: 5275 diff changeset	273 F77_XFCN (xderfc, XDERFC, (x, retval));
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	274 return retval;
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	275 }
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	276 #endif
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	277
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	278 #if !defined (HAVE_ERFCF)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	279 float
7914 e998e81224b5 Various compilation fixes for MSVC. John W. Eaton <jwe@octave.org> parents: 7789 diff changeset	280 erfcf (float x)
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	281 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	282 float retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	283 F77_XFCN (xerfc, XERFC, (x, retval));
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	284 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	285 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	286 #endif
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	287
15696 2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package. Steven G. Johnson <stevenj@alum.mit.edu> parents: 15271 diff changeset	288 // Complex error function from the Faddeeva package
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package. Steven G. Johnson <stevenj@alum.mit.edu> parents: 15271 diff changeset	289 Complex
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package. Steven G. Johnson <stevenj@alum.mit.edu> parents: 15271 diff changeset	290 erf (const Complex& x)
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package. Steven G. Johnson <stevenj@alum.mit.edu> parents: 15271 diff changeset	291 {
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package. Steven G. Johnson <stevenj@alum.mit.edu> parents: 15271 diff changeset	292 return Faddeeva::erf (x);
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package. Steven G. Johnson <stevenj@alum.mit.edu> parents: 15271 diff changeset	293 }
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package. Steven G. Johnson <stevenj@alum.mit.edu> parents: 15271 diff changeset	294 FloatComplex
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package. Steven G. Johnson <stevenj@alum.mit.edu> parents: 15271 diff changeset	295 erf (const FloatComplex& x)
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package. Steven G. Johnson <stevenj@alum.mit.edu> parents: 15271 diff changeset	296 {
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package. Steven G. Johnson <stevenj@alum.mit.edu> parents: 15271 diff changeset	297 Complex xd (real (x), imag (x));
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package. Steven G. Johnson <stevenj@alum.mit.edu> parents: 15271 diff changeset	298 Complex ret = Faddeeva::erf (xd, std::numeric_limits<float>::epsilon ());
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package. Steven G. Johnson <stevenj@alum.mit.edu> parents: 15271 diff changeset	299 return FloatComplex (real (ret), imag (ret));
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package. Steven G. Johnson <stevenj@alum.mit.edu> parents: 15271 diff changeset	300 }
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package. Steven G. Johnson <stevenj@alum.mit.edu> parents: 15271 diff changeset	301
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package. Steven G. Johnson <stevenj@alum.mit.edu> parents: 15271 diff changeset	302 // Complex complementary error function from the Faddeeva package
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package. Steven G. Johnson <stevenj@alum.mit.edu> parents: 15271 diff changeset	303 Complex
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package. Steven G. Johnson <stevenj@alum.mit.edu> parents: 15271 diff changeset	304 erfc (const Complex& x)
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package. Steven G. Johnson <stevenj@alum.mit.edu> parents: 15271 diff changeset	305 {
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package. Steven G. Johnson <stevenj@alum.mit.edu> parents: 15271 diff changeset	306 return Faddeeva::erfc (x);
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package. Steven G. Johnson <stevenj@alum.mit.edu> parents: 15271 diff changeset	307 }
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package. Steven G. Johnson <stevenj@alum.mit.edu> parents: 15271 diff changeset	308 FloatComplex
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package. Steven G. Johnson <stevenj@alum.mit.edu> parents: 15271 diff changeset	309 erfc (const FloatComplex& x)
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package. Steven G. Johnson <stevenj@alum.mit.edu> parents: 15271 diff changeset	310 {
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package. Steven G. Johnson <stevenj@alum.mit.edu> parents: 15271 diff changeset	311 Complex xd (real (x), imag (x));
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package. Steven G. Johnson <stevenj@alum.mit.edu> parents: 15271 diff changeset	312 Complex ret = Faddeeva::erfc (xd, std::numeric_limits<float>::epsilon ());
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package. Steven G. Johnson <stevenj@alum.mit.edu> parents: 15271 diff changeset	313 return FloatComplex (real (ret), imag (ret));
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package. Steven G. Johnson <stevenj@alum.mit.edu> parents: 15271 diff changeset	314 }
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package. Steven G. Johnson <stevenj@alum.mit.edu> parents: 15271 diff changeset	315
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package. Steven G. Johnson <stevenj@alum.mit.edu> parents: 15271 diff changeset	316 // Real and complex scaled complementary error function from Faddeeva package
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package. Steven G. Johnson <stevenj@alum.mit.edu> parents: 15271 diff changeset	317 float erfcx (float x) { return Faddeeva::erfcx(x); }
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package. Steven G. Johnson <stevenj@alum.mit.edu> parents: 15271 diff changeset	318 double erfcx (double x) { return Faddeeva::erfcx(x); }
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package. Steven G. Johnson <stevenj@alum.mit.edu> parents: 15271 diff changeset	319 Complex
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package. Steven G. Johnson <stevenj@alum.mit.edu> parents: 15271 diff changeset	320 erfcx (const Complex& x)
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package. Steven G. Johnson <stevenj@alum.mit.edu> parents: 15271 diff changeset	321 {
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package. Steven G. Johnson <stevenj@alum.mit.edu> parents: 15271 diff changeset	322 return Faddeeva::erfcx (x);
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package. Steven G. Johnson <stevenj@alum.mit.edu> parents: 15271 diff changeset	323 }
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package. Steven G. Johnson <stevenj@alum.mit.edu> parents: 15271 diff changeset	324 FloatComplex
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package. Steven G. Johnson <stevenj@alum.mit.edu> parents: 15271 diff changeset	325 erfcx (const FloatComplex& x)
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package. Steven G. Johnson <stevenj@alum.mit.edu> parents: 15271 diff changeset	326 {
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package. Steven G. Johnson <stevenj@alum.mit.edu> parents: 15271 diff changeset	327 Complex xd (real (x), imag (x));
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package. Steven G. Johnson <stevenj@alum.mit.edu> parents: 15271 diff changeset	328 Complex ret = Faddeeva::erfcx (xd, std::numeric_limits<float>::epsilon ());
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package. Steven G. Johnson <stevenj@alum.mit.edu> parents: 15271 diff changeset	329 return FloatComplex (real (ret), imag (ret));
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package. Steven G. Johnson <stevenj@alum.mit.edu> parents: 15271 diff changeset	330 }
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package. Steven G. Johnson <stevenj@alum.mit.edu> parents: 15271 diff changeset	331
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package. Steven G. Johnson <stevenj@alum.mit.edu> parents: 15271 diff changeset	332 // Real and complex imaginary error function from Faddeeva package
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package. Steven G. Johnson <stevenj@alum.mit.edu> parents: 15271 diff changeset	333 float erfi (float x) { return Faddeeva::erfi(x); }
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package. Steven G. Johnson <stevenj@alum.mit.edu> parents: 15271 diff changeset	334 double erfi (double x) { return Faddeeva::erfi(x); }
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package. Steven G. Johnson <stevenj@alum.mit.edu> parents: 15271 diff changeset	335 Complex
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package. Steven G. Johnson <stevenj@alum.mit.edu> parents: 15271 diff changeset	336 erfi (const Complex& x)
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package. Steven G. Johnson <stevenj@alum.mit.edu> parents: 15271 diff changeset	337 {
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package. Steven G. Johnson <stevenj@alum.mit.edu> parents: 15271 diff changeset	338 return Faddeeva::erfi (x);
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package. Steven G. Johnson <stevenj@alum.mit.edu> parents: 15271 diff changeset	339 }
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package. Steven G. Johnson <stevenj@alum.mit.edu> parents: 15271 diff changeset	340 FloatComplex
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package. Steven G. Johnson <stevenj@alum.mit.edu> parents: 15271 diff changeset	341 erfi (const FloatComplex& x)
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package. Steven G. Johnson <stevenj@alum.mit.edu> parents: 15271 diff changeset	342 {
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package. Steven G. Johnson <stevenj@alum.mit.edu> parents: 15271 diff changeset	343 Complex xd (real (x), imag (x));
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package. Steven G. Johnson <stevenj@alum.mit.edu> parents: 15271 diff changeset	344 Complex ret = Faddeeva::erfi (xd, std::numeric_limits<float>::epsilon ());
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package. Steven G. Johnson <stevenj@alum.mit.edu> parents: 15271 diff changeset	345 return FloatComplex (real (ret), imag (ret));
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package. Steven G. Johnson <stevenj@alum.mit.edu> parents: 15271 diff changeset	346 }
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package. Steven G. Johnson <stevenj@alum.mit.edu> parents: 15271 diff changeset	347
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package. Steven G. Johnson <stevenj@alum.mit.edu> parents: 15271 diff changeset	348 // Real and complex Dawson function (= scaled erfi) from Faddeeva package
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package. Steven G. Johnson <stevenj@alum.mit.edu> parents: 15271 diff changeset	349 float dawson (float x) { return Faddeeva::Dawson(x); }
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package. Steven G. Johnson <stevenj@alum.mit.edu> parents: 15271 diff changeset	350 double dawson (double x) { return Faddeeva::Dawson(x); }
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package. Steven G. Johnson <stevenj@alum.mit.edu> parents: 15271 diff changeset	351 Complex
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package. Steven G. Johnson <stevenj@alum.mit.edu> parents: 15271 diff changeset	352 dawson (const Complex& x)
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package. Steven G. Johnson <stevenj@alum.mit.edu> parents: 15271 diff changeset	353 {
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package. Steven G. Johnson <stevenj@alum.mit.edu> parents: 15271 diff changeset	354 return Faddeeva::Dawson (x);
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package. Steven G. Johnson <stevenj@alum.mit.edu> parents: 15271 diff changeset	355 }
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package. Steven G. Johnson <stevenj@alum.mit.edu> parents: 15271 diff changeset	356 FloatComplex
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package. Steven G. Johnson <stevenj@alum.mit.edu> parents: 15271 diff changeset	357 dawson (const FloatComplex& x)
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package. Steven G. Johnson <stevenj@alum.mit.edu> parents: 15271 diff changeset	358 {
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package. Steven G. Johnson <stevenj@alum.mit.edu> parents: 15271 diff changeset	359 Complex xd (real (x), imag (x));
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package. Steven G. Johnson <stevenj@alum.mit.edu> parents: 15271 diff changeset	360 Complex ret = Faddeeva::Dawson (xd, std::numeric_limits<float>::epsilon ());
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package. Steven G. Johnson <stevenj@alum.mit.edu> parents: 15271 diff changeset	361 return FloatComplex (real (ret), imag (ret));
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package. Steven G. Johnson <stevenj@alum.mit.edu> parents: 15271 diff changeset	362 }
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package. Steven G. Johnson <stevenj@alum.mit.edu> parents: 15271 diff changeset	363
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	364 double
3156 a494f93e60ff [project @ 1998-02-20 07:47:48 by jwe] jwe parents: 3146 diff changeset	365 xgamma (double x)
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	366 {
3156 a494f93e60ff [project @ 1998-02-20 07:47:48 by jwe] jwe parents: 3146 diff changeset	367 double result;
5701 252b6754e545 [project @ 2006-03-21 18:15:42 by jwe] jwe parents: 5700 diff changeset	368
252b6754e545 [project @ 2006-03-21 18:15:42 by jwe] jwe parents: 5700 diff changeset	369 if (xisnan (x))
252b6754e545 [project @ 2006-03-21 18:15:42 by jwe] jwe parents: 5700 diff changeset	370 result = x;
252b6754e545 [project @ 2006-03-21 18:15:42 by jwe] jwe parents: 5700 diff changeset	371 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	372 result = octave_Inf;
252b6754e545 [project @ 2006-03-21 18:15:42 by jwe] jwe parents: 5700 diff changeset	373 else
11327 ef0e995f8c0f correctly compute gamma for negative integer values when tgamma is available Marco Atzeri <marco_atzeri@yahoo.it> parents: 10902 diff changeset	374 #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	375 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	376 #else
5701 252b6754e545 [project @ 2006-03-21 18:15:42 by jwe] jwe parents: 5700 diff changeset	377 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	378 #endif
6969 0a64abe792f4 [project @ 2007-10-06 14:15:19 by jwe] jwe parents: 6961 diff changeset	379
3156 a494f93e60ff [project @ 1998-02-20 07:47:48 by jwe] jwe parents: 3146 diff changeset	380 return result;
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	381 }
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	382
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	383 double
3156 a494f93e60ff [project @ 1998-02-20 07:47:48 by jwe] jwe parents: 3146 diff changeset	384 xlgamma (double x)
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	385 {
6969 0a64abe792f4 [project @ 2007-10-06 14:15:19 by jwe] jwe parents: 6961 diff changeset	386 #if defined (HAVE_LGAMMA)
0a64abe792f4 [project @ 2007-10-06 14:15:19 by jwe] jwe parents: 6961 diff changeset	387 return lgamma (x);
0a64abe792f4 [project @ 2007-10-06 14:15:19 by jwe] jwe parents: 6961 diff changeset	388 #else
3156 a494f93e60ff [project @ 1998-02-20 07:47:48 by jwe] jwe parents: 3146 diff changeset	389 double result;
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	390 double sgngam;
4497 2a02f3a16fe0 [project @ 2003-09-04 18:48:13 by jwe] jwe parents: 4490 diff changeset	391
5701 252b6754e545 [project @ 2006-03-21 18:15:42 by jwe] jwe parents: 5700 diff changeset	392 if (xisnan (x))
252b6754e545 [project @ 2006-03-21 18:15:42 by jwe] jwe parents: 5700 diff changeset	393 result = x;
10902 9a64e02e2aad Validate input arguments for gamma, lgamma. Tatsuro MATSUOKA <tmacchant@yahoo.co.jp> parents: 10521 diff changeset	394 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	395 result = octave_Inf;
5700 67118c88cee7 [project @ 2006-03-21 17:31:45 by jwe] jwe parents: 5307 diff changeset	396 else
67118c88cee7 [project @ 2006-03-21 17:31:45 by jwe] jwe parents: 5307 diff changeset	397 F77_XFCN (dlgams, DLGAMS, (x, result, sgngam));
4497 2a02f3a16fe0 [project @ 2003-09-04 18:48:13 by jwe] jwe parents: 4490 diff changeset	398
3156 a494f93e60ff [project @ 1998-02-20 07:47:48 by jwe] jwe parents: 3146 diff changeset	399 return result;
6969 0a64abe792f4 [project @ 2007-10-06 14:15:19 by jwe] jwe parents: 6961 diff changeset	400 #endif
6961 b559b4bcf51f [project @ 2007-10-05 19:35:21 by jwe] jwe parents: 5775 diff changeset	401 }
b559b4bcf51f [project @ 2007-10-05 19:35:21 by jwe] jwe parents: 5775 diff changeset	402
7601 8a939b217863 Treat negative values to lgamma and beta correctly David Bateman <dbateman@free.fr> parents: 7176 diff changeset	403 Complex
9812 f80c566bc751 improve unary mapper system Jaroslav Hajek <highegg@gmail.com> parents: 9732 diff changeset	404 rc_lgamma (double x)
7601 8a939b217863 Treat negative values to lgamma and beta correctly David Bateman <dbateman@free.fr> parents: 7176 diff changeset	405 {
8a939b217863 Treat negative values to lgamma and beta correctly David Bateman <dbateman@free.fr> parents: 7176 diff changeset	406 double result;
8a939b217863 Treat negative values to lgamma and beta correctly David Bateman <dbateman@free.fr> parents: 7176 diff changeset	407
8a939b217863 Treat negative values to lgamma and beta correctly David Bateman <dbateman@free.fr> parents: 7176 diff changeset	408 #if defined (HAVE_LGAMMA_R)
8a939b217863 Treat negative values to lgamma and beta correctly David Bateman <dbateman@free.fr> parents: 7176 diff changeset	409 int sgngam;
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11574 diff changeset	410 result = lgamma_r (x, &sgngam);
7601 8a939b217863 Treat negative values to lgamma and beta correctly David Bateman <dbateman@free.fr> parents: 7176 diff changeset	411 #else
8a939b217863 Treat negative values to lgamma and beta correctly David Bateman <dbateman@free.fr> parents: 7176 diff changeset	412 double sgngam;
8a939b217863 Treat negative values to lgamma and beta correctly David Bateman <dbateman@free.fr> parents: 7176 diff changeset	413
8a939b217863 Treat negative values to lgamma and beta correctly David Bateman <dbateman@free.fr> parents: 7176 diff changeset	414 if (xisnan (x))
8a939b217863 Treat negative values to lgamma and beta correctly David Bateman <dbateman@free.fr> parents: 7176 diff changeset	415 result = x;
10902 9a64e02e2aad Validate input arguments for gamma, lgamma. Tatsuro MATSUOKA <tmacchant@yahoo.co.jp> parents: 10521 diff changeset	416 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	417 result = octave_Inf;
8a939b217863 Treat negative values to lgamma and beta correctly David Bateman <dbateman@free.fr> parents: 7176 diff changeset	418 else
8a939b217863 Treat negative values to lgamma and beta correctly David Bateman <dbateman@free.fr> parents: 7176 diff changeset	419 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	420
8a939b217863 Treat negative values to lgamma and beta correctly David Bateman <dbateman@free.fr> parents: 7176 diff changeset	421 #endif
8a939b217863 Treat negative values to lgamma and beta correctly David Bateman <dbateman@free.fr> parents: 7176 diff changeset	422
8a939b217863 Treat negative values to lgamma and beta correctly David Bateman <dbateman@free.fr> parents: 7176 diff changeset	423 if (sgngam < 0)
8a939b217863 Treat negative values to lgamma and beta correctly David Bateman <dbateman@free.fr> parents: 7176 diff changeset	424 return result + Complex (0., M_PI);
8a939b217863 Treat negative values to lgamma and beta correctly David Bateman <dbateman@free.fr> parents: 7176 diff changeset	425 else
8a939b217863 Treat negative values to lgamma and beta correctly David Bateman <dbateman@free.fr> parents: 7176 diff changeset	426 return result;
8a939b217863 Treat negative values to lgamma and beta correctly David Bateman <dbateman@free.fr> parents: 7176 diff changeset	427 }
8a939b217863 Treat negative values to lgamma and beta correctly David Bateman <dbateman@free.fr> parents: 7176 diff changeset	428
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	429 float
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	430 xgamma (float x)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	431 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	432 float result;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	433
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	434 if (xisnan (x))
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	435 result = x;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	436 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	437 result = octave_Float_Inf;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	438 else
11327 ef0e995f8c0f correctly compute gamma for negative integer values when tgamma is available Marco Atzeri <marco_atzeri@yahoo.it> parents: 10902 diff changeset	439 #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	440 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	441 #else
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	442 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	443 #endif
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	444
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	445 return result;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	446 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	447
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	448 float
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	449 xlgamma (float x)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	450 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	451 #if defined (HAVE_LGAMMAF)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	452 return lgammaf (x);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	453 #else
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	454 float result;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	455 float sgngam;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	456
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	457 if (xisnan (x))
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	458 result = x;
10902 9a64e02e2aad Validate input arguments for gamma, lgamma. Tatsuro MATSUOKA <tmacchant@yahoo.co.jp> parents: 10521 diff changeset	459 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	460 result = octave_Float_Inf;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	461 else
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	462 F77_XFCN (algams, ALGAMS, (x, result, sgngam));
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	463
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	464 return result;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	465 #endif
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	466 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	467
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	468 FloatComplex
9812 f80c566bc751 improve unary mapper system Jaroslav Hajek <highegg@gmail.com> parents: 9732 diff changeset	469 rc_lgamma (float x)
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	470 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	471 float result;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	472
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	473 #if defined (HAVE_LGAMMAF_R)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	474 int sgngam;
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11574 diff changeset	475 result = lgammaf_r (x, &sgngam);
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	476 #else
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	477 float sgngam;
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 if (xisnan (x))
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	480 result = x;
10902 9a64e02e2aad Validate input arguments for gamma, lgamma. Tatsuro MATSUOKA <tmacchant@yahoo.co.jp> parents: 10521 diff changeset	481 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	482 result = octave_Float_Inf;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	483 else
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	484 F77_XFCN (algams, ALGAMS, (x, result, sgngam));
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	485
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	486 #endif
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	487
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	488 if (sgngam < 0)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	489 return result + FloatComplex (0., M_PI);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	490 else
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	491 return result;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	492 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	493
7638 2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	494 #if !defined (HAVE_EXPM1)
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	495 double
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	496 expm1 (double x)
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	497 {
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	498 double retval;
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	499
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	500 double ax = fabs (x);
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	501
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	502 if (ax < 0.1)
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	503 {
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	504 ax /= 16;
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	505
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	506 // use Taylor series to calculate exp(x)-1.
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	507 double t = ax;
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11574 diff changeset	508 double s = 0;
7638 2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	509 for (int i = 2; i < 7; i++)
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	510 s += (t *= ax/i);
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	511 s += ax;
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	512
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	513 // 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	514 double e = s;
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	515 for (int i = 0; i < 4; i++)
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	516 {
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	517 s *= e + 2;
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	518 e *= e + 2;
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	519 }
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	520
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	521 retval = (x > 0) ? s : -s / (1+s);
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	522 }
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	523 else
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	524 retval = exp (x) - 1;
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	525
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	526 return retval;
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	527 }
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	528 #endif
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	529
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11574 diff changeset	530 Complex
15018 3d8ace26c5b4 maint: Use Octave coding conventions for cuddled parentheses in liboctave/. Rik <rik@octave.org> parents: 14847 diff changeset	531 expm1 (const Complex& x)
7638 2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	532 {
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	533 Complex retval;
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	534
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	535 if (std:: abs (x) < 1)
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	536 {
14846 460a3c6d8bf1 maint: Use Octave coding convention for cuddled parenthis in function calls with empty argument lists. Rik <octave@nomad.inbox5.com> parents: 14844 diff changeset	537 double im = x.imag ();
7638 2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	538 double u = expm1 (x.real ());
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	539 double v = sin (im/2);
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	540 v = -2vv;
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	541 retval = Complex (uv + u + v, (u+1) sin (im));
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	542 }
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	543 else
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	544 retval = std::exp (x) - Complex (1);
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	545
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	546 return retval;
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	547 }
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	548
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	549 #if !defined (HAVE_EXPM1F)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	550 float
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	551 expm1f (float x)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	552 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	553 float retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	554
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	555 float ax = fabs (x);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	556
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	557 if (ax < 0.1)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	558 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	559 ax /= 16;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	560
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	561 // use Taylor series to calculate exp(x)-1.
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	562 float t = ax;
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11574 diff changeset	563 float s = 0;
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	564 for (int i = 2; i < 7; i++)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	565 s += (t *= ax/i);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	566 s += ax;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	567
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	568 // 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	569 float e = s;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	570 for (int i = 0; i < 4; i++)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	571 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	572 s *= e + 2;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	573 e *= e + 2;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	574 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	575
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	576 retval = (x > 0) ? s : -s / (1+s);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	577 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	578 else
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	579 retval = exp (x) - 1;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	580
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	581 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	582 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	583 #endif
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	584
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11574 diff changeset	585 FloatComplex
15018 3d8ace26c5b4 maint: Use Octave coding conventions for cuddled parentheses in liboctave/. Rik <rik@octave.org> parents: 14847 diff changeset	586 expm1 (const FloatComplex& x)
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	587 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	588 FloatComplex retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	589
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	590 if (std:: abs (x) < 1)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	591 {
14846 460a3c6d8bf1 maint: Use Octave coding convention for cuddled parenthis in function calls with empty argument lists. Rik <octave@nomad.inbox5.com> parents: 14844 diff changeset	592 float im = x.imag ();
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	593 float u = expm1 (x.real ());
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	594 float v = sin (im/2);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	595 v = -2vv;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	596 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	597 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	598 else
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	599 retval = std::exp (x) - FloatComplex (1);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	600
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	601 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	602 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	603
7638 2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	604 #if !defined (HAVE_LOG1P)
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	605 double
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	606 log1p (double x)
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	607 {
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	608 double retval;
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	609
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	610 double ax = fabs (x);
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	611
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	612 if (ax < 0.2)
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	613 {
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	614 // 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	615 double u = x / (2 + x), t = 1, s = 0;
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	616 for (int i = 2; i < 12; i += 2)
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	617 s += (t = uu) / (i+1);
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	618
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	619 retval = 2 * (s + 1) * u;
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	620 }
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	621 else
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	622 retval = log (1 + x);
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	623
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	624 return retval;
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	625 }
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	626 #endif
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	627
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11574 diff changeset	628 Complex
7638 2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	629 log1p (const Complex& x)
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	630 {
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	631 Complex retval;
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	632
14846 460a3c6d8bf1 maint: Use Octave coding convention for cuddled parenthis in function calls with empty argument lists. Rik <octave@nomad.inbox5.com> parents: 14844 diff changeset	633 double r = x.real (), i = x.imag ();
7638 2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	634
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	635 if (fabs (r) < 0.5 && fabs (i) < 0.5)
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	636 {
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	637 double u = 2r + rr + i*i;
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	638 retval = Complex (log1p (u / (1+sqrt (u+1))),
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	639 atan2 (1 + r, i));
7638 2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	640 }
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	641 else
15018 3d8ace26c5b4 maint: Use Octave coding conventions for cuddled parentheses in liboctave/. Rik <rik@octave.org> parents: 14847 diff changeset	642 retval = std::log (Complex (1) + x);
7638 2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	643
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	644 return retval;
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	645 }
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	646
10414 2a8b1db1e2ca implement built-in cbrt Jaroslav Hajek <highegg@gmail.com> parents: 10391 diff changeset	647 #if !defined (HAVE_CBRT)
2a8b1db1e2ca implement built-in cbrt Jaroslav Hajek <highegg@gmail.com> parents: 10391 diff changeset	648 double cbrt (double x)
2a8b1db1e2ca implement built-in cbrt Jaroslav Hajek <highegg@gmail.com> parents: 10391 diff changeset	649 {
2a8b1db1e2ca implement built-in cbrt Jaroslav Hajek <highegg@gmail.com> parents: 10391 diff changeset	650 static const double one_third = 0.3333333333333333333;
2a8b1db1e2ca implement built-in cbrt Jaroslav Hajek <highegg@gmail.com> parents: 10391 diff changeset	651 if (xfinite (x))
2a8b1db1e2ca implement built-in cbrt Jaroslav Hajek <highegg@gmail.com> parents: 10391 diff changeset	652 {
2a8b1db1e2ca implement built-in cbrt Jaroslav Hajek <highegg@gmail.com> parents: 10391 diff changeset	653 // Use pow.
2a8b1db1e2ca implement built-in cbrt Jaroslav Hajek <highegg@gmail.com> parents: 10391 diff changeset	654 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	655 // Correct for better accuracy.
2a8b1db1e2ca implement built-in cbrt Jaroslav Hajek <highegg@gmail.com> parents: 10391 diff changeset	656 return (x / (y*y) + y + y) / 3;
2a8b1db1e2ca implement built-in cbrt Jaroslav Hajek <highegg@gmail.com> parents: 10391 diff changeset	657 }
2a8b1db1e2ca implement built-in cbrt Jaroslav Hajek <highegg@gmail.com> parents: 10391 diff changeset	658 else
2a8b1db1e2ca implement built-in cbrt Jaroslav Hajek <highegg@gmail.com> parents: 10391 diff changeset	659 return x;
2a8b1db1e2ca implement built-in cbrt Jaroslav Hajek <highegg@gmail.com> parents: 10391 diff changeset	660 }
2a8b1db1e2ca implement built-in cbrt Jaroslav Hajek <highegg@gmail.com> parents: 10391 diff changeset	661 #endif
2a8b1db1e2ca implement built-in cbrt Jaroslav Hajek <highegg@gmail.com> parents: 10391 diff changeset	662
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	663 #if !defined (HAVE_LOG1PF)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	664 float
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	665 log1pf (float x)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	666 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	667 float retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	668
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	669 float ax = fabs (x);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	670
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	671 if (ax < 0.2)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	672 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	673 // 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	674 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	675 for (int i = 2; i < 12; i += 2)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	676 s += (t = uu) / (i+1);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	677
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	678 retval = 2 * (s + 1) * u;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	679 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	680 else
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	681 retval = log (1 + x);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	682
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	683 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	684 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	685 #endif
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	686
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11574 diff changeset	687 FloatComplex
9812 f80c566bc751 improve unary mapper system Jaroslav Hajek <highegg@gmail.com> parents: 9732 diff changeset	688 log1p (const FloatComplex& x)
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	689 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	690 FloatComplex retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	691
14816 0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	692 float r = x.real (), i = x.imag ();
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	693
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	694 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	695 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	696 float u = 2r + rr + i*i;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	697 retval = FloatComplex (log1p (u / (1+sqrt (u+1))),
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	698 atan2 (1 + r, i));
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	699 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	700 else
15018 3d8ace26c5b4 maint: Use Octave coding conventions for cuddled parentheses in liboctave/. Rik <rik@octave.org> parents: 14847 diff changeset	701 retval = std::log (FloatComplex (1) + x);
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	702
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	703 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	704 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	705
10414 2a8b1db1e2ca implement built-in cbrt Jaroslav Hajek <highegg@gmail.com> parents: 10391 diff changeset	706 #if !defined (HAVE_CBRTF)
2a8b1db1e2ca implement built-in cbrt Jaroslav Hajek <highegg@gmail.com> parents: 10391 diff changeset	707 float cbrtf (float x)
2a8b1db1e2ca implement built-in cbrt Jaroslav Hajek <highegg@gmail.com> parents: 10391 diff changeset	708 {
2a8b1db1e2ca implement built-in cbrt Jaroslav Hajek <highegg@gmail.com> parents: 10391 diff changeset	709 static const float one_third = 0.3333333333333333333f;
2a8b1db1e2ca implement built-in cbrt Jaroslav Hajek <highegg@gmail.com> parents: 10391 diff changeset	710 if (xfinite (x))
2a8b1db1e2ca implement built-in cbrt Jaroslav Hajek <highegg@gmail.com> parents: 10391 diff changeset	711 {
2a8b1db1e2ca implement built-in cbrt Jaroslav Hajek <highegg@gmail.com> parents: 10391 diff changeset	712 // Use pow.
2a8b1db1e2ca implement built-in cbrt Jaroslav Hajek <highegg@gmail.com> parents: 10391 diff changeset	713 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	714 // Correct for better accuracy.
2a8b1db1e2ca implement built-in cbrt Jaroslav Hajek <highegg@gmail.com> parents: 10391 diff changeset	715 return (x / (y*y) + y + y) / 3;
2a8b1db1e2ca implement built-in cbrt Jaroslav Hajek <highegg@gmail.com> parents: 10391 diff changeset	716 }
2a8b1db1e2ca implement built-in cbrt Jaroslav Hajek <highegg@gmail.com> parents: 10391 diff changeset	717 else
2a8b1db1e2ca implement built-in cbrt Jaroslav Hajek <highegg@gmail.com> parents: 10391 diff changeset	718 return x;
2a8b1db1e2ca implement built-in cbrt Jaroslav Hajek <highegg@gmail.com> parents: 10391 diff changeset	719 }
2a8b1db1e2ca implement built-in cbrt Jaroslav Hajek <highegg@gmail.com> parents: 10391 diff changeset	720 #endif
2a8b1db1e2ca implement built-in cbrt Jaroslav Hajek <highegg@gmail.com> parents: 10391 diff changeset	721
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	722 static inline Complex
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	723 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	724
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	725 static inline Complex
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	726 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	727
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	728 static inline Complex
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	729 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	730
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	731 static inline Complex
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	732 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	733
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	734 static inline Complex
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	735 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	736
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	737 static inline Complex
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	738 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	739
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	740 static inline Complex
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	741 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	742 {
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	743 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	744 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	745
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	746 Complex retval;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	747
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	748 switch (ierr)
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	749 {
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	750 case 0:
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	751 case 3:
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	752 retval = val;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	753 break;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	754
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	755 case 2:
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	756 retval = inf_val;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	757 break;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	758
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	759 default:
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	760 retval = nan_val;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	761 break;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	762 }
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	763
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	764 return retval;
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	765 }
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	766
4911 14027e0bafa4 [project @ 2004-07-22 19:58:06 by jwe] jwe parents: 4844 diff changeset	767 static inline bool
14027e0bafa4 [project @ 2004-07-22 19:58:06 by jwe] jwe parents: 4844 diff changeset	768 is_integer_value (double x)
14027e0bafa4 [project @ 2004-07-22 19:58:06 by jwe] jwe parents: 4844 diff changeset	769 {
14027e0bafa4 [project @ 2004-07-22 19:58:06 by jwe] jwe parents: 4844 diff changeset	770 return x == static_cast<double> (static_cast<long> (x));
14027e0bafa4 [project @ 2004-07-22 19:58:06 by jwe] jwe parents: 4844 diff changeset	771 }
14027e0bafa4 [project @ 2004-07-22 19:58:06 by jwe] jwe parents: 4844 diff changeset	772
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	773 static inline Complex
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	774 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	775 {
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	776 Complex retval;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	777
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	778 if (alpha >= 0.0)
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	779 {
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	780 double yr = 0.0;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	781 double yi = 0.0;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	782
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	783 octave_idx_type nz;
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	784
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	785 double zr = z.real ();
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	786 double zi = z.imag ();
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	787
4506 3c82fc8f822c [project @ 2003-09-10 13:56:57 by jwe] jwe parents: 4497 diff changeset	788 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	789
3c82fc8f822c [project @ 2003-09-10 13:56:57 by jwe] jwe parents: 4497 diff changeset	790 if (kode != 2)
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	791 {
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11574 diff changeset	792 double expz = exp (std::abs (zi));
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	793 yr *= expz;
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	794 yi *= expz;
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	795 }
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	796
4490 1aed172ab84a [project @ 2003-08-28 19:03:06 by jwe] jwe parents: 4180 diff changeset	797 if (zi == 0.0 && zr >= 0.0)
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	798 yi = 0.0;
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	799
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	800 retval = bessel_return_value (Complex (yr, yi), ierr);
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	801 }
4911 14027e0bafa4 [project @ 2004-07-22 19:58:06 by jwe] jwe parents: 4844 diff changeset	802 else if (is_integer_value (alpha))
14027e0bafa4 [project @ 2004-07-22 19:58:06 by jwe] jwe parents: 4844 diff changeset	803 {
14027e0bafa4 [project @ 2004-07-22 19:58:06 by jwe] jwe parents: 4844 diff changeset	804 // 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	805 alpha = -alpha;
14027e0bafa4 [project @ 2004-07-22 19:58:06 by jwe] jwe parents: 4844 diff changeset	806 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	807 if ((static_cast <long> (alpha)) & 1)
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	808 tmp = - tmp;
4911 14027e0bafa4 [project @ 2004-07-22 19:58:06 by jwe] jwe parents: 4844 diff changeset	809 retval = bessel_return_value (tmp, ierr);
14027e0bafa4 [project @ 2004-07-22 19:58:06 by jwe] jwe parents: 4844 diff changeset	810 }
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	811 else
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	812 {
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	813 alpha = -alpha;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	814
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	815 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	816
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	817 if (ierr == 0 \|\| ierr == 3)
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	818 {
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	819 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	820
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	821 retval = bessel_return_value (tmp, ierr);
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	822 }
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	823 else
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	824 retval = Complex (octave_NaN, octave_NaN);
3220 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
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	827 return retval;
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	828 }
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	829
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	830 static inline Complex
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	831 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	832 {
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	833 Complex retval;
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	834
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	835 if (alpha >= 0.0)
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	836 {
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	837 double yr = 0.0;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	838 double yi = 0.0;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	839
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	840 octave_idx_type nz;
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	841
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	842 double wr, wi;
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	843
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	844 double zr = z.real ();
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	845 double zi = z.imag ();
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	846
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	847 ierr = 0;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	848
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	849 if (zr == 0.0 && zi == 0.0)
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	850 {
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	851 yr = -octave_Inf;
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	852 yi = 0.0;
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	853 }
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	854 else
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	855 {
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	856 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	857 &wr, &wi, ierr);
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	858
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	859 if (kode != 2)
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	860 {
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	861 double expz = exp (std::abs (zi));
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	862 yr *= expz;
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	863 yi *= expz;
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	864 }
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	865
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	866 if (zi == 0.0 && zr >= 0.0)
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	867 yi = 0.0;
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	868 }
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	869
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	870 return bessel_return_value (Complex (yr, yi), ierr);
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	871 }
4911 14027e0bafa4 [project @ 2004-07-22 19:58:06 by jwe] jwe parents: 4844 diff changeset	872 else if (is_integer_value (alpha - 0.5))
14027e0bafa4 [project @ 2004-07-22 19:58:06 by jwe] jwe parents: 4844 diff changeset	873 {
14027e0bafa4 [project @ 2004-07-22 19:58:06 by jwe] jwe parents: 4844 diff changeset	874 // 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	875 alpha = -alpha;
14027e0bafa4 [project @ 2004-07-22 19:58:06 by jwe] jwe parents: 4844 diff changeset	876 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	877 if ((static_cast <long> (alpha - 0.5)) & 1)
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	878 tmp = - tmp;
4911 14027e0bafa4 [project @ 2004-07-22 19:58:06 by jwe] jwe parents: 4844 diff changeset	879 retval = bessel_return_value (tmp, ierr);
14027e0bafa4 [project @ 2004-07-22 19:58:06 by jwe] jwe parents: 4844 diff changeset	880 }
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	881 else
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	882 {
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	883 alpha = -alpha;
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	884
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	885 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	886
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	887 if (ierr == 0 \|\| ierr == 3)
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	888 {
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	889 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	890
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	891 retval = bessel_return_value (tmp, ierr);
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	892 }
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	893 else
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	894 retval = Complex (octave_NaN, octave_NaN);
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	895 }
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 return retval;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	898 }
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	899
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	900 static inline Complex
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	901 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	902 {
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	903 Complex retval;
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	904
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	905 if (alpha >= 0.0)
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 double yr = 0.0;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	908 double yi = 0.0;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	909
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	910 octave_idx_type nz;
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	911
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	912 double zr = z.real ();
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	913 double zi = z.imag ();
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	914
4506 3c82fc8f822c [project @ 2003-09-10 13:56:57 by jwe] jwe parents: 4497 diff changeset	915 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	916
3c82fc8f822c [project @ 2003-09-10 13:56:57 by jwe] jwe parents: 4497 diff changeset	917 if (kode != 2)
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	918 {
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	919 double expz = exp (std::abs (zr));
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	920 yr *= expz;
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	921 yi *= expz;
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	922 }
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	923
4490 1aed172ab84a [project @ 2003-08-28 19:03:06 by jwe] jwe parents: 4180 diff changeset	924 if (zi == 0.0 && zr >= 0.0)
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	925 yi = 0.0;
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	926
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	927 retval = bessel_return_value (Complex (yr, yi), ierr);
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	928 }
14196 35ce1eab7400 besseli: use special case for negative integer orders John W. Eaton <jwe@octave.org> parents: 14138 diff changeset	929 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	930 {
35ce1eab7400 besseli: use special case for negative integer orders John W. Eaton <jwe@octave.org> parents: 14138 diff changeset	931 // 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	932 alpha = -alpha;
35ce1eab7400 besseli: use special case for negative integer orders John W. Eaton <jwe@octave.org> parents: 14138 diff changeset	933 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	934 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	935 }
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	936 else
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	937 {
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	938 alpha = -alpha;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	939
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	940 Complex tmp = zbesi (z, alpha, kode, ierr);
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	941
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	942 if (ierr == 0 \|\| ierr == 3)
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	943 {
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	944 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	945 * zbesk (z, alpha, kode, ierr);
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11574 diff changeset	946
12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11574 diff changeset	947 if (kode == 2)
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	948 {
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	949 // Compensate for different scaling factor of besk.
15018 3d8ace26c5b4 maint: Use Octave coding conventions for cuddled parentheses in liboctave/. Rik <rik@octave.org> parents: 14847 diff changeset	950 tmp2 *= exp (-z - std::abs (z.real ()));
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	951 }
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11574 diff changeset	952
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	953 tmp += tmp2;
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	954
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	955 retval = bessel_return_value (tmp, ierr);
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	956 }
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	957 else
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	958 retval = Complex (octave_NaN, octave_NaN);
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	959 }
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	960
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	961 return retval;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	962 }
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	963
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	964 static inline Complex
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	965 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	966 {
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	967 Complex retval;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	968
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	969 if (alpha >= 0.0)
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	970 {
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	971 double yr = 0.0;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	972 double yi = 0.0;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	973
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	974 octave_idx_type nz;
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	975
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	976 double zr = z.real ();
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	977 double zi = z.imag ();
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 ierr = 0;
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 if (zr == 0.0 && zi == 0.0)
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	982 {
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	983 yr = octave_Inf;
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	984 yi = 0.0;
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	985 }
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	986 else
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	987 {
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	988 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	989
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	990 if (kode != 2)
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	991 {
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	992 Complex expz = exp (-z);
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	993
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	994 double rexpz = real (expz);
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	995 double iexpz = imag (expz);
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	996
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	997 double tmp = yrrexpz - yiiexpz;
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	998
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	999 yi = yriexpz + yirexpz;
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1000 yr = tmp;
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1001 }
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1002
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1003 if (zi == 0.0 && zr >= 0.0)
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1004 yi = 0.0;
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1005 }
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1006
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1007 retval = bessel_return_value (Complex (yr, yi), ierr);
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1008 }
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1009 else
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1010 {
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1011 Complex tmp = zbesk (z, -alpha, kode, ierr);
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1012
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1013 retval = bessel_return_value (tmp, ierr);
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1014 }
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	1015
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	1016 return retval;
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	1017 }
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	1018
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1019 static inline Complex
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	1020 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	1021 {
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1022 Complex retval;
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	1023
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1024 if (alpha >= 0.0)
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	1025 {
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1026 double yr = 0.0;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1027 double yi = 0.0;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1028
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	1029 octave_idx_type nz;
3220 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 double zr = z.real ();
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1032 double zi = z.imag ();
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	1033
4506 3c82fc8f822c [project @ 2003-09-10 13:56:57 by jwe] jwe parents: 4497 diff changeset	1034 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	1035
3c82fc8f822c [project @ 2003-09-10 13:56:57 by jwe] jwe parents: 4497 diff changeset	1036 if (kode != 2)
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1037 {
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1038 Complex expz = exp (Complex (0.0, 1.0) * z);
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1039
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1040 double rexpz = real (expz);
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1041 double iexpz = imag (expz);
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1042
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1043 double tmp = yrrexpz - yiiexpz;
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1044
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1045 yi = yriexpz + yirexpz;
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1046 yr = tmp;
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1047 }
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	1048
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1049 retval = bessel_return_value (Complex (yr, yi), ierr);
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1050 }
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1051 else
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1052 {
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1053 alpha = -alpha;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1054
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1055 static const Complex eye = Complex (0.0, 1.0);
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	1056
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1057 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	1058
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1059 retval = bessel_return_value (tmp, ierr);
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1060 }
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	1061
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1062 return retval;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1063 }
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	1064
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1065 static inline Complex
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	1066 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	1067 {
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1068 Complex retval;
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	1069
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1070 if (alpha >= 0.0)
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1071 {
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1072 double yr = 0.0;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1073 double yi = 0.0;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1074
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	1075 octave_idx_type nz;
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	1076
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1077 double zr = z.real ();
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1078 double zi = z.imag ();
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	1079
4506 3c82fc8f822c [project @ 2003-09-10 13:56:57 by jwe] jwe parents: 4497 diff changeset	1080 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	1081
3c82fc8f822c [project @ 2003-09-10 13:56:57 by jwe] jwe parents: 4497 diff changeset	1082 if (kode != 2)
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1083 {
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1084 Complex expz = exp (-Complex (0.0, 1.0) * z);
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1085
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1086 double rexpz = real (expz);
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1087 double iexpz = imag (expz);
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1088
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1089 double tmp = yrrexpz - yiiexpz;
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1090
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1091 yi = yriexpz + yirexpz;
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1092 yr = tmp;
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1093 }
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1094
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1095 retval = bessel_return_value (Complex (yr, yi), ierr);
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	1096 }
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	1097 else
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1098 {
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1099 alpha = -alpha;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1100
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1101 static const Complex eye = Complex (0.0, 1.0);
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 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	1104
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1105 retval = bessel_return_value (tmp, ierr);
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1106 }
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1107
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1108 return retval;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1109 }
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1110
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1111 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	1112
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1113 static inline Complex
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1114 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	1115 bool scaled, octave_idx_type& ierr)
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1116 {
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1117 Complex retval;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1118
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1119 retval = f (x, alpha, (scaled ? 2 : 1), ierr);
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1120
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1121 return retval;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1122 }
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1123
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1124 static inline ComplexMatrix
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1125 do_bessel (dptr f, const char *, double alpha, const ComplexMatrix& x,
10352 a3635bc1ea19 remove Array2 Jaroslav Hajek <highegg@gmail.com> parents: 10314 diff changeset	1126 bool scaled, Array<octave_idx_type>& ierr)
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1127 {
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	1128 octave_idx_type nr = x.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	1129 octave_idx_type nc = x.cols ();
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1130
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1131 ComplexMatrix retval (nr, nc);
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1132
11574 a83bad07f7e3 attempt better backward compatibility for Array resize functions John W. Eaton <jwe@octave.org> parents: 11523 diff changeset	1133 ierr.resize (dim_vector (nr, nc));
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1134
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	1135 for (octave_idx_type j = 0; j < nc; j++)
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	1136 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	1137 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	1138
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1139 return retval;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1140 }
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1141
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1142 static inline ComplexMatrix
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1143 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	1144 bool scaled, Array<octave_idx_type>& ierr)
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1145 {
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	1146 octave_idx_type nr = alpha.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	1147 octave_idx_type nc = alpha.cols ();
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1148
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1149 ComplexMatrix retval (nr, nc);
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1150
11574 a83bad07f7e3 attempt better backward compatibility for Array resize functions John W. Eaton <jwe@octave.org> parents: 11523 diff changeset	1151 ierr.resize (dim_vector (nr, nc));
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1152
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	1153 for (octave_idx_type j = 0; j < nc; j++)
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	1154 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	1155 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	1156
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	1157 return retval;
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	1158 }
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	1159
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1160 static inline ComplexMatrix
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1161 do_bessel (dptr f, const char *fn, const Matrix& alpha,
10352 a3635bc1ea19 remove Array2 Jaroslav Hajek <highegg@gmail.com> parents: 10314 diff changeset	1162 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	1163 {
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1164 ComplexMatrix retval;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1165
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	1166 octave_idx_type x_nr = x.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	1167 octave_idx_type x_nc = x.cols ();
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1168
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	1169 octave_idx_type alpha_nr = alpha.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	1170 octave_idx_type alpha_nc = alpha.cols ();
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1171
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1172 if (x_nr == alpha_nr && x_nc == alpha_nc)
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1173 {
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	1174 octave_idx_type nr = x_nr;
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	1175 octave_idx_type nc = x_nc;
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1176
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1177 retval.resize (nr, nc);
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1178
11574 a83bad07f7e3 attempt better backward compatibility for Array resize functions John W. Eaton <jwe@octave.org> parents: 11523 diff changeset	1179 ierr.resize (dim_vector (nr, nc));
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1180
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	1181 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	1182 for (octave_idx_type i = 0; i < nr; i++)
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1183 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	1184 }
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1185 else
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1186 (*current_liboctave_error_handler)
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1187 ("%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	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
4844 9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1192 static inline ComplexNDArray
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1193 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	1194 bool scaled, Array<octave_idx_type>& ierr)
4844 9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1195 {
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1196 dim_vector dv = x.dims ();
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	1197 octave_idx_type nel = dv.numel ();
4844 9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1198 ComplexNDArray retval (dv);
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1199
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1200 ierr.resize (dv);
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1201
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	1202 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	1203 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	1204
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1205 return retval;
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1206 }
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1207
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1208 static inline ComplexNDArray
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1209 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	1210 bool scaled, Array<octave_idx_type>& ierr)
4844 9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1211 {
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1212 dim_vector dv = alpha.dims ();
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	1213 octave_idx_type nel = dv.numel ();
4844 9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1214 ComplexNDArray retval (dv);
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1215
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1216 ierr.resize (dv);
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1217
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	1218 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	1219 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	1220
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1221 return retval;
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1222 }
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1223
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1224 static inline ComplexNDArray
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1225 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	1226 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	1227 {
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1228 dim_vector dv = x.dims ();
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1229 ComplexNDArray retval;
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 if (dv == alpha.dims ())
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1232 {
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	1233 octave_idx_type nel = dv.numel ();
4844 9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1234
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1235 retval.resize (dv);
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1236 ierr.resize (dv);
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1237
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	1238 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	1239 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	1240 }
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1241 else
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1242 (*current_liboctave_error_handler)
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1243 ("%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	1244
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1245 return retval;
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1246 }
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1247
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1248 static inline ComplexMatrix
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1249 do_bessel (dptr f, const char *, const RowVector& alpha,
10352 a3635bc1ea19 remove Array2 Jaroslav Hajek <highegg@gmail.com> parents: 10314 diff changeset	1250 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	1251 {
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	1252 octave_idx_type nr = x.length ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	1253 octave_idx_type nc = alpha.length ();
3220 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 ComplexMatrix retval (nr, nc);
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	1256
11574 a83bad07f7e3 attempt better backward compatibility for Array resize functions John W. Eaton <jwe@octave.org> parents: 11523 diff changeset	1257 ierr.resize (dim_vector (nr, nc));
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1258
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	1259 for (octave_idx_type j = 0; j < nc; j++)
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	1260 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	1261 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	1262
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1263 return retval;
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	1264 }
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	1265
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1266 #define SS_BESSEL(name, fcn) \
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1267 Complex \
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	1268 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	1269 { \
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1270 return do_bessel (fcn, #name, alpha, x, scaled, ierr); \
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1271 }
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1272
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1273 #define SM_BESSEL(name, fcn) \
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1274 ComplexMatrix \
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1275 name (double alpha, const ComplexMatrix& x, bool scaled, \
10352 a3635bc1ea19 remove Array2 Jaroslav Hajek <highegg@gmail.com> parents: 10314 diff changeset	1276 Array<octave_idx_type>& ierr) \
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1277 { \
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1278 return do_bessel (fcn, #name, alpha, x, scaled, ierr); \
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1279 }
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1280
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1281 #define MS_BESSEL(name, fcn) \
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1282 ComplexMatrix \
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1283 name (const Matrix& alpha, const Complex& x, bool scaled, \
10352 a3635bc1ea19 remove Array2 Jaroslav Hajek <highegg@gmail.com> parents: 10314 diff changeset	1284 Array<octave_idx_type>& ierr) \
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1285 { \
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1286 return do_bessel (fcn, #name, alpha, x, scaled, ierr); \
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1287 }
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1288
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1289 #define MM_BESSEL(name, fcn) \
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1290 ComplexMatrix \
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1291 name (const Matrix& alpha, const ComplexMatrix& x, bool scaled, \
10352 a3635bc1ea19 remove Array2 Jaroslav Hajek <highegg@gmail.com> parents: 10314 diff changeset	1292 Array<octave_idx_type>& ierr) \
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1293 { \
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1294 return do_bessel (fcn, #name, alpha, x, scaled, ierr); \
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1295 }
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1296
4844 9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1297 #define SN_BESSEL(name, fcn) \
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1298 ComplexNDArray \
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1299 name (double alpha, const ComplexNDArray& x, bool scaled, \
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1300 Array<octave_idx_type>& ierr) \
4844 9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1301 { \
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1302 return do_bessel (fcn, #name, alpha, x, scaled, ierr); \
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1303 }
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1304
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1305 #define NS_BESSEL(name, fcn) \
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1306 ComplexNDArray \
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1307 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	1308 Array<octave_idx_type>& ierr) \
4844 9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1309 { \
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1310 return do_bessel (fcn, #name, alpha, x, scaled, ierr); \
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1311 }
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1312
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1313 #define NN_BESSEL(name, fcn) \
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1314 ComplexNDArray \
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1315 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	1316 Array<octave_idx_type>& ierr) \
4844 9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1317 { \
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1318 return do_bessel (fcn, #name, alpha, x, scaled, ierr); \
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1319 }
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1320
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1321 #define RC_BESSEL(name, fcn) \
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1322 ComplexMatrix \
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1323 name (const RowVector& alpha, const ComplexColumnVector& x, bool scaled, \
10352 a3635bc1ea19 remove Array2 Jaroslav Hajek <highegg@gmail.com> parents: 10314 diff changeset	1324 Array<octave_idx_type>& ierr) \
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1325 { \
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1326 return do_bessel (fcn, #name, alpha, x, scaled, ierr); \
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1327 }
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1328
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1329 #define ALL_BESSEL(name, fcn) \
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1330 SS_BESSEL (name, fcn) \
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1331 SM_BESSEL (name, fcn) \
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1332 MS_BESSEL (name, fcn) \
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1333 MM_BESSEL (name, fcn) \
4844 9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1334 SN_BESSEL (name, fcn) \
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1335 NS_BESSEL (name, fcn) \
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1336 NN_BESSEL (name, fcn) \
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1337 RC_BESSEL (name, fcn)
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1338
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1339 ALL_BESSEL (besselj, zbesj)
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1340 ALL_BESSEL (bessely, zbesy)
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1341 ALL_BESSEL (besseli, zbesi)
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1342 ALL_BESSEL (besselk, zbesk)
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1343 ALL_BESSEL (besselh1, zbesh1)
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1344 ALL_BESSEL (besselh2, zbesh2)
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1345
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1346 #undef ALL_BESSEL
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1347 #undef SS_BESSEL
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1348 #undef SM_BESSEL
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1349 #undef MS_BESSEL
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1350 #undef MM_BESSEL
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1351 #undef SN_BESSEL
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1352 #undef NS_BESSEL
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1353 #undef NN_BESSEL
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1354 #undef RC_BESSEL
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1355
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1356 static inline FloatComplex
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1357 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	1358
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1359 static inline FloatComplex
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1360 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	1361
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1362 static inline FloatComplex
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1363 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	1364
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1365 static inline FloatComplex
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1366 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	1367
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1368 static inline FloatComplex
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1369 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	1370
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1371 static inline FloatComplex
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1372 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	1373
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1374 static inline FloatComplex
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1375 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	1376 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1377 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	1378 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	1379
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1380 FloatComplex retval;
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 switch (ierr)
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 case 0:
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1385 case 3:
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1386 retval = val;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1387 break;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1388
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1389 case 2:
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1390 retval = inf_val;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1391 break;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1392
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1393 default:
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1394 retval = nan_val;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1395 break;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1396 }
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 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1399 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1400
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1401 static inline bool
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1402 is_integer_value (float x)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1403 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1404 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	1405 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1406
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1407 static inline FloatComplex
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1408 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	1409 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1410 FloatComplex retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1411
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1412 if (alpha >= 0.0)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1413 {
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	1414 FloatComplex y = 0.0;
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1415
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1416 octave_idx_type nz;
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 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	1419
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1420 if (kode != 2)
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1421 {
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1422 float expz = exp (std::abs (imag (z)));
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1423 y *= expz;
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1424 }
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1425
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	1426 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	1427 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	1428
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	1429 retval = bessel_return_value (y, ierr);
7789 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 else if (is_integer_value (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 // 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	1434 alpha = -alpha;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1435 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	1436 if ((static_cast <long> (alpha)) & 1)
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1437 tmp = - tmp;
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1438 retval = bessel_return_value (tmp, ierr);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1439 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1440 else
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1441 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1442 alpha = -alpha;
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 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	1445
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1446 if (ierr == 0 \|\| ierr == 3)
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1447 {
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1448 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	1449
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1450 retval = bessel_return_value (tmp, ierr);
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1451 }
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1452 else
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1453 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	1454 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1455
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1456 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1457 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1458
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1459 static inline FloatComplex
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1460 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	1461 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1462 FloatComplex retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1463
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1464 if (alpha >= 0.0)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1465 {
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	1466 FloatComplex y = 0.0;
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1467
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1468 octave_idx_type nz;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1469
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	1470 FloatComplex w;
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 ierr = 0;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1473
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	1474 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	1475 {
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1476 y = FloatComplex (-octave_Float_Inf, 0.0);
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1477 }
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1478 else
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 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	1481
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1482 if (kode != 2)
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1483 {
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1484 float expz = exp (std::abs (imag (z)));
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1485 y *= expz;
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1486 }
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 if (imag (z) == 0.0 && real (z) >= 0.0)
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1489 y = FloatComplex (y.real (), 0.0);
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1490 }
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1491
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	1492 return bessel_return_value (y, ierr);
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1493 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1494 else if (is_integer_value (alpha - 0.5))
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 // 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	1497 alpha = -alpha;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1498 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	1499 if ((static_cast <long> (alpha - 0.5)) & 1)
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1500 tmp = - tmp;
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1501 retval = bessel_return_value (tmp, 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 else
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 alpha = -alpha;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1506
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1507 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	1508
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1509 if (ierr == 0 \|\| ierr == 3)
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1510 {
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1511 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	1512
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1513 retval = bessel_return_value (tmp, ierr);
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1514 }
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1515 else
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1516 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	1517 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1518
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1519 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1520 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1521
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1522 static inline FloatComplex
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1523 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	1524 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1525 FloatComplex retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1526
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1527 if (alpha >= 0.0)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1528 {
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	1529 FloatComplex y = 0.0;
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1530
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1531 octave_idx_type nz;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1532
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	1533 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	1534
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1535 if (kode != 2)
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1536 {
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1537 float expz = exp (std::abs (real (z)));
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1538 y *= expz;
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1539 }
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1540
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	1541 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	1542 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	1543
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	1544 retval = bessel_return_value (y, ierr);
7789 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 else
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1547 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1548 alpha = -alpha;
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 FloatComplex tmp = cbesi (z, alpha, kode, ierr);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1551
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1552 if (ierr == 0 \|\| ierr == 3)
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1553 {
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1554 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	1555 * cbesk (z, alpha, kode, ierr);
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11574 diff changeset	1556
12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11574 diff changeset	1557 if (kode == 2)
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1558 {
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1559 // Compensate for different scaling factor of besk.
15018 3d8ace26c5b4 maint: Use Octave coding conventions for cuddled parentheses in liboctave/. Rik <rik@octave.org> parents: 14847 diff changeset	1560 tmp2 *= exp (-z - std::abs (z.real ()));
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1561 }
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1562
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1563 tmp += tmp2;
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 retval = bessel_return_value (tmp, ierr);
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1566 }
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1567 else
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1568 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	1569 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1570
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1571 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1572 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1573
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1574 static inline FloatComplex
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1575 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	1576 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1577 FloatComplex retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1578
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1579 if (alpha >= 0.0)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1580 {
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	1581 FloatComplex y = 0.0;
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1582
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1583 octave_idx_type nz;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1584
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1585 ierr = 0;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1586
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	1587 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	1588 {
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1589 y = FloatComplex (octave_Float_Inf, 0.0);
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1590 }
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1591 else
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1592 {
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1593 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	1594
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1595 if (kode != 2)
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1596 {
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1597 FloatComplex expz = exp (-z);
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1598
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1599 float rexpz = real (expz);
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1600 float iexpz = imag (expz);
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1601
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1602 float tmp_r = real (y) * rexpz - imag (y) * iexpz;
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1603 float tmp_i = real (y) * iexpz + imag (y) * rexpz;
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1604
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1605 y = FloatComplex (tmp_r, tmp_i);
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
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1608 if (imag (z) == 0.0 && real (z) >= 0.0)
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1609 y = FloatComplex (y.real (), 0.0);
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1610 }
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1611
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	1612 retval = bessel_return_value (y, ierr);
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1613 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1614 else
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1615 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1616 FloatComplex tmp = cbesk (z, -alpha, kode, ierr);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1617
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1618 retval = bessel_return_value (tmp, ierr);
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
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1621 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1622 }
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 inline FloatComplex
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1625 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	1626 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1627 FloatComplex retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1628
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1629 if (alpha >= 0.0)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1630 {
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	1631 FloatComplex y = 0.0;
7789 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 octave_idx_type nz;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1634
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	1635 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	1636
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1637 if (kode != 2)
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1638 {
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1639 FloatComplex expz = exp (FloatComplex (0.0, 1.0) * z);
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1640
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1641 float rexpz = real (expz);
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1642 float iexpz = imag (expz);
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1643
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1644 float tmp_r = real (y) * rexpz - imag (y) * iexpz;
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1645 float tmp_i = real (y) * iexpz + imag (y) * rexpz;
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1646
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1647 y = FloatComplex (tmp_r, tmp_i);
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1648 }
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1649
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	1650 retval = bessel_return_value (y, ierr);
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1651 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1652 else
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 alpha = -alpha;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1655
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1656 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	1657
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1658 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	1659
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1660 retval = bessel_return_value (tmp, ierr);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1661 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1662
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1663 return retval;
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
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1666 static inline FloatComplex
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1667 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	1668 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1669 FloatComplex retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1670
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1671 if (alpha >= 0.0)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1672 {
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	1673 FloatComplex y = 0.0;
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1674
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1675 octave_idx_type nz;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1676
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	1677 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	1678
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1679 if (kode != 2)
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1680 {
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1681 FloatComplex expz = exp (-FloatComplex (0.0, 1.0) * z);
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1682
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1683 float rexpz = real (expz);
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1684 float iexpz = imag (expz);
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1685
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1686 float tmp_r = real (y) * rexpz - imag (y) * iexpz;
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1687 float tmp_i = real (y) * iexpz + imag (y) * rexpz;
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1688
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1689 y = FloatComplex (tmp_r, tmp_i);
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1690 }
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1691
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	1692 retval = bessel_return_value (y, ierr);
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1693 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1694 else
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1695 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1696 alpha = -alpha;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1697
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1698 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	1699
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1700 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	1701
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1702 retval = bessel_return_value (tmp, ierr);
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
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1705 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1706 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1707
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1708 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	1709
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1710 static inline FloatComplex
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1711 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	1712 bool scaled, octave_idx_type& ierr)
7789 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 FloatComplex retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1715
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1716 retval = f (x, alpha, (scaled ? 2 : 1), ierr);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1717
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1718 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1719 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1720
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1721 static inline FloatComplexMatrix
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1722 do_bessel (fptr f, const char *, float alpha, const FloatComplexMatrix& x,
10352 a3635bc1ea19 remove Array2 Jaroslav Hajek <highegg@gmail.com> parents: 10314 diff changeset	1723 bool scaled, Array<octave_idx_type>& ierr)
7789 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 octave_idx_type nr = x.rows ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1726 octave_idx_type nc = x.cols ();
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 FloatComplexMatrix retval (nr, nc);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1729
11574 a83bad07f7e3 attempt better backward compatibility for Array resize functions John W. Eaton <jwe@octave.org> parents: 11523 diff changeset	1730 ierr.resize (dim_vector (nr, nc));
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1731
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1732 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	1733 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	1734 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	1735
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1736 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1737 }
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 static inline FloatComplexMatrix
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1740 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	1741 bool scaled, Array<octave_idx_type>& ierr)
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1742 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1743 octave_idx_type nr = alpha.rows ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1744 octave_idx_type nc = alpha.cols ();
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 FloatComplexMatrix retval (nr, nc);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1747
11574 a83bad07f7e3 attempt better backward compatibility for Array resize functions John W. Eaton <jwe@octave.org> parents: 11523 diff changeset	1748 ierr.resize (dim_vector (nr, nc));
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1749
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1750 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	1751 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	1752 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	1753
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1754 return retval;
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
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1757 static inline FloatComplexMatrix
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1758 do_bessel (fptr f, const char *fn, const FloatMatrix& alpha,
10352 a3635bc1ea19 remove Array2 Jaroslav Hajek <highegg@gmail.com> parents: 10314 diff changeset	1759 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	1760 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1761 FloatComplexMatrix retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1762
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1763 octave_idx_type x_nr = x.rows ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1764 octave_idx_type x_nc = x.cols ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1765
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1766 octave_idx_type alpha_nr = alpha.rows ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1767 octave_idx_type alpha_nc = alpha.cols ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1768
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1769 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	1770 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1771 octave_idx_type nr = x_nr;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1772 octave_idx_type nc = x_nc;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1773
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1774 retval.resize (nr, nc);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1775
11574 a83bad07f7e3 attempt better backward compatibility for Array resize functions John W. Eaton <jwe@octave.org> parents: 11523 diff changeset	1776 ierr.resize (dim_vector (nr, nc));
7789 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 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	1779 for (octave_idx_type i = 0; i < nr; i++)
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1780 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	1781 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1782 else
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1783 (*current_liboctave_error_handler)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1784 ("%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	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 static inline FloatComplexNDArray
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1790 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	1791 bool scaled, Array<octave_idx_type>& ierr)
7789 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 dim_vector dv = x.dims ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1794 octave_idx_type nel = dv.numel ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1795 FloatComplexNDArray retval (dv);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1796
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1797 ierr.resize (dv);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1798
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1799 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	1800 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	1801
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1802 return retval;
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
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1805 static inline FloatComplexNDArray
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1806 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	1807 bool scaled, 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 dim_vector dv = alpha.dims ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1810 octave_idx_type nel = dv.numel ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1811 FloatComplexNDArray retval (dv);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1812
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1813 ierr.resize (dv);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1814
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1815 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	1816 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	1817
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1818 return retval;
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
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1821 static inline FloatComplexNDArray
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1822 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	1823 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	1824 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1825 dim_vector dv = x.dims ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1826 FloatComplexNDArray retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1827
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1828 if (dv == alpha.dims ())
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1829 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1830 octave_idx_type nel = dv.numel ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1831
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1832 retval.resize (dv);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1833 ierr.resize (dv);
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 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	1836 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	1837 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1838 else
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1839 (*current_liboctave_error_handler)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1840 ("%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	1841
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1842 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1843 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1844
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1845 static inline FloatComplexMatrix
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1846 do_bessel (fptr f, const char *, const FloatRowVector& alpha,
10352 a3635bc1ea19 remove Array2 Jaroslav Hajek <highegg@gmail.com> parents: 10314 diff changeset	1847 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	1848 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1849 octave_idx_type nr = x.length ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1850 octave_idx_type nc = alpha.length ();
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 FloatComplexMatrix retval (nr, nc);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1853
11574 a83bad07f7e3 attempt better backward compatibility for Array resize functions John W. Eaton <jwe@octave.org> parents: 11523 diff changeset	1854 ierr.resize (dim_vector (nr, nc));
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1855
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1856 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	1857 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	1858 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	1859
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1860 return retval;
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
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1863 #define SS_BESSEL(name, fcn) \
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1864 FloatComplex \
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1865 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	1866 { \
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1867 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	1868 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1869
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1870 #define SM_BESSEL(name, fcn) \
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1871 FloatComplexMatrix \
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1872 name (float alpha, const FloatComplexMatrix& x, bool scaled, \
10352 a3635bc1ea19 remove Array2 Jaroslav Hajek <highegg@gmail.com> parents: 10314 diff changeset	1873 Array<octave_idx_type>& ierr) \
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1874 { \
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1875 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	1876 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1877
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1878 #define MS_BESSEL(name, fcn) \
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1879 FloatComplexMatrix \
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1880 name (const FloatMatrix& alpha, const FloatComplex& x, bool scaled, \
10352 a3635bc1ea19 remove Array2 Jaroslav Hajek <highegg@gmail.com> parents: 10314 diff changeset	1881 Array<octave_idx_type>& ierr) \
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1882 { \
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1883 return do_bessel (fcn, #name, alpha, x, scaled, ierr); \
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1884 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1885
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1886 #define MM_BESSEL(name, fcn) \
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1887 FloatComplexMatrix \
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1888 name (const FloatMatrix& alpha, const FloatComplexMatrix& x, bool scaled, \
10352 a3635bc1ea19 remove Array2 Jaroslav Hajek <highegg@gmail.com> parents: 10314 diff changeset	1889 Array<octave_idx_type>& ierr) \
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1890 { \
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1891 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	1892 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1893
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1894 #define SN_BESSEL(name, fcn) \
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1895 FloatComplexNDArray \
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1896 name (float alpha, const FloatComplexNDArray& x, bool scaled, \
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1897 Array<octave_idx_type>& ierr) \
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1898 { \
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1899 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	1900 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1901
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1902 #define NS_BESSEL(name, fcn) \
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1903 FloatComplexNDArray \
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1904 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	1905 Array<octave_idx_type>& ierr) \
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1906 { \
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1907 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	1908 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1909
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1910 #define NN_BESSEL(name, fcn) \
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1911 FloatComplexNDArray \
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1912 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	1913 Array<octave_idx_type>& ierr) \
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1914 { \
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1915 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	1916 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1917
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1918 #define RC_BESSEL(name, fcn) \
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1919 FloatComplexMatrix \
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1920 name (const FloatRowVector& alpha, const FloatComplexColumnVector& x, bool scaled, \
10352 a3635bc1ea19 remove Array2 Jaroslav Hajek <highegg@gmail.com> parents: 10314 diff changeset	1921 Array<octave_idx_type>& ierr) \
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1922 { \
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1923 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	1924 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1925
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1926 #define ALL_BESSEL(name, fcn) \
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1927 SS_BESSEL (name, fcn) \
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1928 SM_BESSEL (name, fcn) \
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1929 MS_BESSEL (name, fcn) \
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1930 MM_BESSEL (name, fcn) \
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1931 SN_BESSEL (name, fcn) \
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1932 NS_BESSEL (name, fcn) \
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1933 NN_BESSEL (name, fcn) \
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1934 RC_BESSEL (name, fcn)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1935
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1936 ALL_BESSEL (besselj, cbesj)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1937 ALL_BESSEL (bessely, cbesy)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1938 ALL_BESSEL (besseli, cbesi)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1939 ALL_BESSEL (besselk, cbesk)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1940 ALL_BESSEL (besselh1, cbesh1)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1941 ALL_BESSEL (besselh2, cbesh2)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1942
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1943 #undef ALL_BESSEL
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1944 #undef SS_BESSEL
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1945 #undef SM_BESSEL
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1946 #undef MS_BESSEL
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1947 #undef MM_BESSEL
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1948 #undef SN_BESSEL
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1949 #undef NS_BESSEL
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1950 #undef NN_BESSEL
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1951 #undef RC_BESSEL
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1952
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1953 Complex
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	1954 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	1955 {
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1956 double ar = 0.0;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1957 double ai = 0.0;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1958
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	1959 octave_idx_type nz;
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1960
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1961 double zr = z.real ();
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1962 double zi = z.imag ();
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	1963
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	1964 octave_idx_type id = deriv ? 1 : 0;
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1965
4506 3c82fc8f822c [project @ 2003-09-10 13:56:57 by jwe] jwe parents: 4497 diff changeset	1966 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	1967
3c82fc8f822c [project @ 2003-09-10 13:56:57 by jwe] jwe parents: 4497 diff changeset	1968 if (! scaled)
3c82fc8f822c [project @ 2003-09-10 13:56:57 by jwe] jwe parents: 4497 diff changeset	1969 {
15018 3d8ace26c5b4 maint: Use Octave coding conventions for cuddled parentheses in liboctave/. Rik <rik@octave.org> parents: 14847 diff changeset	1970 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	1971
4506 3c82fc8f822c [project @ 2003-09-10 13:56:57 by jwe] jwe parents: 4497 diff changeset	1972 double rexpz = real (expz);
3c82fc8f822c [project @ 2003-09-10 13:56:57 by jwe] jwe parents: 4497 diff changeset	1973 double iexpz = imag (expz);
3c82fc8f822c [project @ 2003-09-10 13:56:57 by jwe] jwe parents: 4497 diff changeset	1974
3c82fc8f822c [project @ 2003-09-10 13:56:57 by jwe] jwe parents: 4497 diff changeset	1975 double tmp = arrexpz - aiiexpz;
3c82fc8f822c [project @ 2003-09-10 13:56:57 by jwe] jwe parents: 4497 diff changeset	1976
3c82fc8f822c [project @ 2003-09-10 13:56:57 by jwe] jwe parents: 4497 diff changeset	1977 ai = ariexpz + airexpz;
3c82fc8f822c [project @ 2003-09-10 13:56:57 by jwe] jwe parents: 4497 diff changeset	1978 ar = tmp;
3c82fc8f822c [project @ 2003-09-10 13:56:57 by jwe] jwe parents: 4497 diff changeset	1979 }
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1980
4490 1aed172ab84a [project @ 2003-08-28 19:03:06 by jwe] jwe parents: 4180 diff changeset	1981 if (zi == 0.0 && (! scaled \|\| zr >= 0.0))
3225 7aae2c3636a7 [project @ 1998-12-04 23:20:12 by jwe] jwe parents: 3220 diff changeset	1982 ai = 0.0;
7aae2c3636a7 [project @ 1998-12-04 23:20:12 by jwe] jwe parents: 3220 diff changeset	1983
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1984 return bessel_return_value (Complex (ar, ai), ierr);
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	1985 }
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	1986
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1987 Complex
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	1988 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	1989 {
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1990 double ar = 0.0;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1991 double ai = 0.0;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1992
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1993 double zr = z.real ();
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1994 double zi = z.imag ();
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1995
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	1996 octave_idx_type id = deriv ? 1 : 0;
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1997
4506 3c82fc8f822c [project @ 2003-09-10 13:56:57 by jwe] jwe parents: 4497 diff changeset	1998 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	1999
3c82fc8f822c [project @ 2003-09-10 13:56:57 by jwe] jwe parents: 4497 diff changeset	2000 if (! scaled)
3c82fc8f822c [project @ 2003-09-10 13:56:57 by jwe] jwe parents: 4497 diff changeset	2001 {
3c82fc8f822c [project @ 2003-09-10 13:56:57 by jwe] jwe parents: 4497 diff changeset	2002 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	2003
4506 3c82fc8f822c [project @ 2003-09-10 13:56:57 by jwe] jwe parents: 4497 diff changeset	2004 double rexpz = real (expz);
3c82fc8f822c [project @ 2003-09-10 13:56:57 by jwe] jwe parents: 4497 diff changeset	2005 double iexpz = imag (expz);
3c82fc8f822c [project @ 2003-09-10 13:56:57 by jwe] jwe parents: 4497 diff changeset	2006
3c82fc8f822c [project @ 2003-09-10 13:56:57 by jwe] jwe parents: 4497 diff changeset	2007 double tmp = arrexpz - aiiexpz;
3c82fc8f822c [project @ 2003-09-10 13:56:57 by jwe] jwe parents: 4497 diff changeset	2008
3c82fc8f822c [project @ 2003-09-10 13:56:57 by jwe] jwe parents: 4497 diff changeset	2009 ai = ariexpz + airexpz;
3c82fc8f822c [project @ 2003-09-10 13:56:57 by jwe] jwe parents: 4497 diff changeset	2010 ar = tmp;
3c82fc8f822c [project @ 2003-09-10 13:56:57 by jwe] jwe parents: 4497 diff changeset	2011 }
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	2012
4490 1aed172ab84a [project @ 2003-08-28 19:03:06 by jwe] jwe parents: 4180 diff changeset	2013 if (zi == 0.0 && (! scaled \|\| zr >= 0.0))
3225 7aae2c3636a7 [project @ 1998-12-04 23:20:12 by jwe] jwe parents: 3220 diff changeset	2014 ai = 0.0;
7aae2c3636a7 [project @ 1998-12-04 23:20:12 by jwe] jwe parents: 3220 diff changeset	2015
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	2016 return bessel_return_value (Complex (ar, ai), ierr);
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2017 }
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2018
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	2019 ComplexMatrix
10352 a3635bc1ea19 remove Array2 Jaroslav Hajek <highegg@gmail.com> parents: 10314 diff changeset	2020 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	2021 {
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	2022 octave_idx_type nr = z.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	2023 octave_idx_type nc = z.cols ();
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	2024
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	2025 ComplexMatrix retval (nr, nc);
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	2026
11574 a83bad07f7e3 attempt better backward compatibility for Array resize functions John W. Eaton <jwe@octave.org> parents: 11523 diff changeset	2027 ierr.resize (dim_vector (nr, nc));
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	2028
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	2029 for (octave_idx_type j = 0; j < nc; j++)
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	2030 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	2031 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	2032
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	2033 return retval;
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2034 }
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2035
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	2036 ComplexMatrix
10352 a3635bc1ea19 remove Array2 Jaroslav Hajek <highegg@gmail.com> parents: 10314 diff changeset	2037 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	2038 {
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	2039 octave_idx_type nr = z.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	2040 octave_idx_type nc = z.cols ();
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	2041
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	2042 ComplexMatrix retval (nr, nc);
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	2043
11574 a83bad07f7e3 attempt better backward compatibility for Array resize functions John W. Eaton <jwe@octave.org> parents: 11523 diff changeset	2044 ierr.resize (dim_vector (nr, nc));
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	2045
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	2046 for (octave_idx_type j = 0; j < nc; j++)
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	2047 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	2048 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	2049
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	2050 return retval;
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2051 }
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2052
4844 9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2053 ComplexNDArray
9732 b4fdfee405b5 remove ArrayN<T> + fix nonhom. diag-scalar ops Jaroslav Hajek <highegg@gmail.com> parents: 8920 diff changeset	2054 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	2055 {
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2056 dim_vector dv = z.dims ();
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	2057 octave_idx_type nel = dv.numel ();
4844 9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2058 ComplexNDArray retval (dv);
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2059
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2060 ierr.resize (dv);
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2061
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	2062 for (octave_idx_type i = 0; i < nel; i++)
14844 5bc9b9cb4362 maint: Use Octave coding conventions for cuddled parenthesis in retval assignments. Rik <octave@nomad.inbox5.com> parents: 14817 diff changeset	2063 retval(i) = airy (z(i), deriv, scaled, ierr(i));
4844 9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2064
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2065 return retval;
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2066 }
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2067
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2068 ComplexNDArray
9732 b4fdfee405b5 remove ArrayN<T> + fix nonhom. diag-scalar ops Jaroslav Hajek <highegg@gmail.com> parents: 8920 diff changeset	2069 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	2070 {
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2071 dim_vector dv = z.dims ();
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	2072 octave_idx_type nel = dv.numel ();
4844 9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2073 ComplexNDArray retval (dv);
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2074
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2075 ierr.resize (dv);
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2076
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	2077 for (octave_idx_type i = 0; i < nel; i++)
14844 5bc9b9cb4362 maint: Use Octave coding conventions for cuddled parenthesis in retval assignments. Rik <octave@nomad.inbox5.com> parents: 14817 diff changeset	2078 retval(i) = biry (z(i), deriv, scaled, ierr(i));
4844 9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2079
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2080 return retval;
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2081 }
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2082
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2083 FloatComplex
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2084 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	2085 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2086 float ar = 0.0;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2087 float ai = 0.0;
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 octave_idx_type nz;
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 float zr = z.real ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2092 float zi = z.imag ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2093
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2094 octave_idx_type id = deriv ? 1 : 0;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2095
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2096 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	2097
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2098 if (! scaled)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2099 {
15018 3d8ace26c5b4 maint: Use Octave coding conventions for cuddled parentheses in liboctave/. Rik <rik@octave.org> parents: 14847 diff changeset	2100 FloatComplex expz = exp (- static_cast<float> (2.0 / 3.0) * z * sqrt (z));
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 float rexpz = real (expz);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2103 float iexpz = imag (expz);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2104
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2105 float tmp = arrexpz - aiiexpz;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2106
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2107 ai = ariexpz + airexpz;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2108 ar = tmp;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2109 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2110
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2111 if (zi == 0.0 && (! scaled \|\| zr >= 0.0))
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2112 ai = 0.0;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2113
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2114 return bessel_return_value (FloatComplex (ar, ai), ierr);
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
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2117 FloatComplex
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2118 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	2119 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2120 float ar = 0.0;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2121 float ai = 0.0;
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 float zr = z.real ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2124 float zi = z.imag ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2125
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2126 octave_idx_type id = deriv ? 1 : 0;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2127
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2128 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	2129
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2130 if (! scaled)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2131 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2132 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	2133
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2134 float rexpz = real (expz);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2135 float iexpz = imag (expz);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2136
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2137 float tmp = arrexpz - aiiexpz;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2138
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2139 ai = ariexpz + airexpz;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2140 ar = tmp;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2141 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2142
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2143 if (zi == 0.0 && (! scaled \|\| zr >= 0.0))
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2144 ai = 0.0;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2145
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2146 return bessel_return_value (FloatComplex (ar, ai), ierr);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2147 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2148
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2149 FloatComplexMatrix
10352 a3635bc1ea19 remove Array2 Jaroslav Hajek <highegg@gmail.com> parents: 10314 diff changeset	2150 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	2151 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2152 octave_idx_type nr = z.rows ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2153 octave_idx_type nc = z.cols ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2154
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2155 FloatComplexMatrix retval (nr, nc);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2156
11574 a83bad07f7e3 attempt better backward compatibility for Array resize functions John W. Eaton <jwe@octave.org> parents: 11523 diff changeset	2157 ierr.resize (dim_vector (nr, nc));
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2158
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2159 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	2160 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	2161 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	2162
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2163 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2164 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2165
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2166 FloatComplexMatrix
10352 a3635bc1ea19 remove Array2 Jaroslav Hajek <highegg@gmail.com> parents: 10314 diff changeset	2167 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	2168 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2169 octave_idx_type nr = z.rows ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2170 octave_idx_type nc = z.cols ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2171
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2172 FloatComplexMatrix retval (nr, nc);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2173
11574 a83bad07f7e3 attempt better backward compatibility for Array resize functions John W. Eaton <jwe@octave.org> parents: 11523 diff changeset	2174 ierr.resize (dim_vector (nr, nc));
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2175
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2176 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	2177 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	2178 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	2179
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2180 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2181 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2182
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2183 FloatComplexNDArray
9732 b4fdfee405b5 remove ArrayN<T> + fix nonhom. diag-scalar ops Jaroslav Hajek <highegg@gmail.com> parents: 8920 diff changeset	2184 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	2185 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2186 dim_vector dv = z.dims ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2187 octave_idx_type nel = dv.numel ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2188 FloatComplexNDArray retval (dv);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2189
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2190 ierr.resize (dv);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2191
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2192 for (octave_idx_type i = 0; i < nel; i++)
14844 5bc9b9cb4362 maint: Use Octave coding conventions for cuddled parenthesis in retval assignments. Rik <octave@nomad.inbox5.com> parents: 14817 diff changeset	2193 retval(i) = airy (z(i), deriv, scaled, ierr(i));
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2194
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2195 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2196 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2197
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2198 FloatComplexNDArray
9732 b4fdfee405b5 remove ArrayN<T> + fix nonhom. diag-scalar ops Jaroslav Hajek <highegg@gmail.com> parents: 8920 diff changeset	2199 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	2200 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2201 dim_vector dv = z.dims ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2202 octave_idx_type nel = dv.numel ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2203 FloatComplexNDArray retval (dv);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2204
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2205 ierr.resize (dv);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2206
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2207 for (octave_idx_type i = 0; i < nel; i++)
14844 5bc9b9cb4362 maint: Use Octave coding conventions for cuddled parenthesis in retval assignments. Rik <octave@nomad.inbox5.com> parents: 14817 diff changeset	2208 retval(i) = biry (z(i), deriv, scaled, ierr(i));
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2209
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2210 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2211 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2212
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2213 static void
4844 9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2214 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	2215 const dim_vector& d3)
4844 9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2216 {
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2217 std::string d1_str = d1.str ();
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2218 std::string d2_str = d2.str ();
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2219 std::string d3_str = d3.str ();
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2220
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2221 (*current_liboctave_error_handler)
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2222 ("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	2223 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	2224 }
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2225
14816 0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	2226 static void
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	2227 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	2228 const dim_vector& d3)
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	2229 {
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	2230 std::string d1_str = d1.str ();
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	2231 std::string d2_str = d2.str ();
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	2232 std::string d3_str = d3.str ();
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	2233
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	2234 (*current_liboctave_error_handler)
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	2235 ("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	2236 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	2237 }
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	2238
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2239 double
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2240 betainc (double x, double a, double b)
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2241 {
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2242 double retval;
5700 67118c88cee7 [project @ 2006-03-21 17:31:45 by jwe] jwe parents: 5307 diff changeset	2243 F77_XFCN (xdbetai, XDBETAI, (x, a, b, retval));
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2244 return retval;
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2245 }
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2246
14815 95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2247 Array<double>
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2248 betainc (double x, double a, const Array<double>& b)
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2249 {
14815 95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2250 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	2251 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	2252
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2253 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	2254
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2255 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	2256
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2257 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	2258 *pretval++ = betainc (x, a, b(i));
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2259
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2260 return retval;
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2261 }
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2262
14815 95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2263 Array<double>
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2264 betainc (double x, const Array<double>& a, double b)
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2265 {
14815 95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2266 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	2267 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	2268
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2269 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	2270
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2271 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	2272
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2273 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	2274 *pretval++ = betainc (x, a(i), b);
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2275
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2276 return retval;
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2277 }
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2278
14815 95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2279 Array<double>
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2280 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	2281 {
14815 95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2282 Array<double> retval;
4844 9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2283 dim_vector dv = a.dims ();
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2284
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2285 if (dv == b.dims ())
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2286 {
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2287 octave_idx_type nel = dv.numel ();
4844 9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2288
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2289 retval.resize (dv);
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2290
14815 95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2291 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	2292
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2293 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	2294 *pretval++ = betainc (x, a(i), b(i));
4844 9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2295 }
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2296 else
10258 e317791645c4 64-bit fixes John W. Eaton <jwe@octave.org> parents: 10158 diff changeset	2297 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	2298
4844 9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2299 return retval;
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2300 }
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2301
14815 95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2302 Array<double>
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2303 betainc (const Array<double>& x, double a, double b)
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2304 {
14815 95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2305 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	2306 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	2307
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2308 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	2309
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2310 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	2311
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2312 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	2313 *pretval++ = betainc (x(i), a, b);
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2314
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2315 return retval;
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2316 }
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2317
14815 95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2318 Array<double>
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2319 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	2320 {
14815 95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2321 Array<double> retval;
4844 9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2322 dim_vector dv = x.dims ();
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2323
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2324 if (dv == b.dims ())
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2325 {
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2326 octave_idx_type nel = dv.numel ();
4844 9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2327
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2328 retval.resize (dv);
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2329
14815 95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2330 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	2331
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2332 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	2333 *pretval++ = betainc (x(i), a, b(i));
4844 9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2334 }
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2335 else
10258 e317791645c4 64-bit fixes John W. Eaton <jwe@octave.org> parents: 10158 diff changeset	2336 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	2337
4844 9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2338 return retval;
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2339 }
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2340
14815 95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2341 Array<double>
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2342 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	2343 {
14815 95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2344 Array<double> retval;
4844 9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2345 dim_vector dv = x.dims ();
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2346
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2347 if (dv == a.dims ())
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2348 {
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2349 octave_idx_type nel = dv.numel ();
4844 9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2350
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2351 retval.resize (dv);
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2352
14815 95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2353 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	2354
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2355 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	2356 *pretval++ = betainc (x(i), a(i), b);
4844 9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2357 }
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2358 else
10258 e317791645c4 64-bit fixes John W. Eaton <jwe@octave.org> parents: 10158 diff changeset	2359 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	2360
4844 9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2361 return retval;
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2362 }
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2363
14815 95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2364 Array<double>
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2365 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	2366 {
14815 95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2367 Array<double> retval;
4844 9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2368 dim_vector dv = x.dims ();
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2369
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2370 if (dv == a.dims () && dv == b.dims ())
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2371 {
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2372 octave_idx_type nel = dv.numel ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2373
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2374 retval.resize (dv);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2375
14815 95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2376 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	2377
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2378 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	2379 *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	2380 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2381 else
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2382 gripe_betainc_nonconformant (dv, a.dims (), b.dims ());
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2383
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2384 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2385 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2386
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2387 float
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2388 betainc (float x, float a, float b)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2389 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2390 float retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2391 F77_XFCN (xbetai, XBETAI, (x, a, b, retval));
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2392 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2393 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2394
14815 95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2395 Array<float>
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2396 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	2397 {
14815 95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2398 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	2399 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	2400
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2401 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	2402
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2403 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	2404
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2405 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	2406 *pretval++ = betainc (x, a, b(i));
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2407
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2408 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2409 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2410
14815 95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2411 Array<float>
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2412 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	2413 {
14815 95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2414 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	2415 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	2416
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2417 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	2418
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2419 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	2420
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2421 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	2422 *pretval++ = betainc (x, a(i), b);
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2423
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2424 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2425 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2426
14815 95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2427 Array<float>
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2428 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	2429 {
14815 95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2430 Array<float> retval;
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2431 dim_vector dv = a.dims ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2432
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2433 if (dv == b.dims ())
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2434 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2435 octave_idx_type nel = dv.numel ();
4844 9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2436
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2437 retval.resize (dv);
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2438
14815 95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2439 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	2440
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2441 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	2442 *pretval++ = betainc (x, a(i), b(i));
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2443 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2444 else
10258 e317791645c4 64-bit fixes John W. Eaton <jwe@octave.org> parents: 10158 diff changeset	2445 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	2446
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2447 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2448 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2449
14815 95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2450 Array<float>
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2451 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	2452 {
14815 95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2453 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	2454 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	2455
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2456 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	2457
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2458 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	2459
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2460 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	2461 *pretval++ = betainc (x(i), a, b);
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2462
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2463 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2464 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2465
14815 95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2466 Array<float>
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2467 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	2468 {
14815 95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2469 Array<float> retval;
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2470 dim_vector dv = x.dims ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2471
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2472 if (dv == b.dims ())
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2473 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2474 octave_idx_type nel = dv.numel ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2475
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2476 retval.resize (dv);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2477
14815 95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2478 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	2479
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2480 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	2481 *pretval++ = betainc (x(i), a, b(i));
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2482 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2483 else
10258 e317791645c4 64-bit fixes John W. Eaton <jwe@octave.org> parents: 10158 diff changeset	2484 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	2485
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2486 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2487 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2488
14815 95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2489 Array<float>
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2490 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	2491 {
14815 95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2492 Array<float> retval;
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2493 dim_vector dv = x.dims ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2494
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2495 if (dv == a.dims ())
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2496 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2497 octave_idx_type nel = dv.numel ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2498
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2499 retval.resize (dv);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2500
14815 95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2501 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	2502
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2503 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	2504 *pretval++ = betainc (x(i), a(i), b);
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2505 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2506 else
10258 e317791645c4 64-bit fixes John W. Eaton <jwe@octave.org> parents: 10158 diff changeset	2507 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	2508
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2509 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2510 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2511
14815 95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2512 Array<float>
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2513 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	2514 {
14815 95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2515 Array<float> retval;
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2516 dim_vector dv = x.dims ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2517
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2518 if (dv == a.dims () && dv == b.dims ())
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2519 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2520 octave_idx_type nel = dv.numel ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2521
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2522 retval.resize (dv);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2523
14815 95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2524 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	2525
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2526 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	2527 *pretval++ = betainc (x(i), a(i), b(i));
4844 9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2528 }
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2529 else
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2530 gripe_betainc_nonconformant (dv, a.dims (), b.dims ());
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2531
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2532 return retval;
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2533 }
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2534
5775 ace8d8d26933 [project @ 2006-04-24 19:13:06 by jwe] jwe parents: 5701 diff changeset	2535 // FIXME -- there is still room for improvement here...
3164 45490c020e47 [project @ 1998-04-14 20:56:48 by jwe] jwe parents: 3162 diff changeset	2536
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2537 double
4004 ca854fb51a88 [project @ 2002-07-25 06:31:33 by jwe] jwe parents: 3887 diff changeset	2538 gammainc (double x, double a, bool& err)
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2539 {
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2540 double retval;
3164 45490c020e47 [project @ 1998-04-14 20:56:48 by jwe] jwe parents: 3162 diff changeset	2541
4004 ca854fb51a88 [project @ 2002-07-25 06:31:33 by jwe] jwe parents: 3887 diff changeset	2542 err = false;
3164 45490c020e47 [project @ 1998-04-14 20:56:48 by jwe] jwe parents: 3162 diff changeset	2543
4004 ca854fb51a88 [project @ 2002-07-25 06:31:33 by jwe] jwe parents: 3887 diff changeset	2544 if (a < 0.0 \|\| x < 0.0)
ca854fb51a88 [project @ 2002-07-25 06:31:33 by jwe] jwe parents: 3887 diff changeset	2545 {
ca854fb51a88 [project @ 2002-07-25 06:31:33 by jwe] jwe parents: 3887 diff changeset	2546 (*current_liboctave_error_handler)
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2547 ("gammainc: A and X must be non-negative");
4004 ca854fb51a88 [project @ 2002-07-25 06:31:33 by jwe] jwe parents: 3887 diff changeset	2548
ca854fb51a88 [project @ 2002-07-25 06:31:33 by jwe] jwe parents: 3887 diff changeset	2549 err = true;
ca854fb51a88 [project @ 2002-07-25 06:31:33 by jwe] jwe parents: 3887 diff changeset	2550 }
ca854fb51a88 [project @ 2002-07-25 06:31:33 by jwe] jwe parents: 3887 diff changeset	2551 else
5278 fe23ec6763b7 [project @ 2005-04-12 21:04:39 by jwe] jwe parents: 5275 diff changeset	2552 F77_XFCN (xgammainc, XGAMMAINC, (a, x, retval));
3164 45490c020e47 [project @ 1998-04-14 20:56:48 by jwe] jwe parents: 3162 diff changeset	2553
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2554 return retval;
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2555 }
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2556
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2557 Matrix
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2558 gammainc (double x, const Matrix& a)
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2559 {
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	2560 octave_idx_type nr = a.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	2561 octave_idx_type nc = a.cols ();
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2562
4004 ca854fb51a88 [project @ 2002-07-25 06:31:33 by jwe] jwe parents: 3887 diff changeset	2563 Matrix result (nr, nc);
ca854fb51a88 [project @ 2002-07-25 06:31:33 by jwe] jwe parents: 3887 diff changeset	2564 Matrix retval;
ca854fb51a88 [project @ 2002-07-25 06:31:33 by jwe] jwe parents: 3887 diff changeset	2565
ca854fb51a88 [project @ 2002-07-25 06:31:33 by jwe] jwe parents: 3887 diff changeset	2566 bool err;
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2567
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	2568 for (octave_idx_type j = 0; j < nc; j++)
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	2569 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	2570 {
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2571 result(i,j) = gammainc (x, a(i,j), err);
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2572
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2573 if (err)
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2574 goto done;
4004 ca854fb51a88 [project @ 2002-07-25 06:31:33 by jwe] jwe parents: 3887 diff changeset	2575 }
ca854fb51a88 [project @ 2002-07-25 06:31:33 by jwe] jwe parents: 3887 diff changeset	2576
ca854fb51a88 [project @ 2002-07-25 06:31:33 by jwe] jwe parents: 3887 diff changeset	2577 retval = result;
ca854fb51a88 [project @ 2002-07-25 06:31:33 by jwe] jwe parents: 3887 diff changeset	2578
ca854fb51a88 [project @ 2002-07-25 06:31:33 by jwe] jwe parents: 3887 diff changeset	2579 done:
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2580
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2581 return retval;
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2582 }
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 Matrix
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2585 gammainc (const Matrix& x, double a)
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2586 {
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	2587 octave_idx_type nr = x.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	2588 octave_idx_type nc = x.cols ();
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2589
4004 ca854fb51a88 [project @ 2002-07-25 06:31:33 by jwe] jwe parents: 3887 diff changeset	2590 Matrix result (nr, nc);
ca854fb51a88 [project @ 2002-07-25 06:31:33 by jwe] jwe parents: 3887 diff changeset	2591 Matrix retval;
ca854fb51a88 [project @ 2002-07-25 06:31:33 by jwe] jwe parents: 3887 diff changeset	2592
ca854fb51a88 [project @ 2002-07-25 06:31:33 by jwe] jwe parents: 3887 diff changeset	2593 bool err;
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2594
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	2595 for (octave_idx_type j = 0; j < nc; j++)
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	2596 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	2597 {
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2598 result(i,j) = gammainc (x(i,j), a, err);
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2599
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2600 if (err)
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2601 goto done;
4004 ca854fb51a88 [project @ 2002-07-25 06:31:33 by jwe] jwe parents: 3887 diff changeset	2602 }
ca854fb51a88 [project @ 2002-07-25 06:31:33 by jwe] jwe parents: 3887 diff changeset	2603
ca854fb51a88 [project @ 2002-07-25 06:31:33 by jwe] jwe parents: 3887 diff changeset	2604 retval = result;
ca854fb51a88 [project @ 2002-07-25 06:31:33 by jwe] jwe parents: 3887 diff changeset	2605
ca854fb51a88 [project @ 2002-07-25 06:31:33 by jwe] jwe parents: 3887 diff changeset	2606 done:
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2607
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2608 return retval;
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2609 }
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2610
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2611 Matrix
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2612 gammainc (const Matrix& x, const Matrix& a)
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2613 {
4004 ca854fb51a88 [project @ 2002-07-25 06:31:33 by jwe] jwe parents: 3887 diff changeset	2614 Matrix result;
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2615 Matrix retval;
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2616
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	2617 octave_idx_type nr = x.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	2618 octave_idx_type nc = x.cols ();
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2619
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	2620 octave_idx_type a_nr = a.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	2621 octave_idx_type a_nc = a.cols ();
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2622
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2623 if (nr == a_nr && nc == a_nc)
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2624 {
4004 ca854fb51a88 [project @ 2002-07-25 06:31:33 by jwe] jwe parents: 3887 diff changeset	2625 result.resize (nr, nc);
ca854fb51a88 [project @ 2002-07-25 06:31:33 by jwe] jwe parents: 3887 diff changeset	2626
ca854fb51a88 [project @ 2002-07-25 06:31:33 by jwe] jwe parents: 3887 diff changeset	2627 bool err;
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2628
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	2629 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	2630 for (octave_idx_type i = 0; i < nr; i++)
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2631 {
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2632 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	2633
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2634 if (err)
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2635 goto done;
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2636 }
4004 ca854fb51a88 [project @ 2002-07-25 06:31:33 by jwe] jwe parents: 3887 diff changeset	2637
ca854fb51a88 [project @ 2002-07-25 06:31:33 by jwe] jwe parents: 3887 diff changeset	2638 retval = result;
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2639 }
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2640 else
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2641 (*current_liboctave_error_handler)
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2642 ("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	2643 nr, nc, a_nr, a_nc);
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2644
4004 ca854fb51a88 [project @ 2002-07-25 06:31:33 by jwe] jwe parents: 3887 diff changeset	2645 done:
ca854fb51a88 [project @ 2002-07-25 06:31:33 by jwe] jwe parents: 3887 diff changeset	2646
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2647 return retval;
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2648 }
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2649
4844 9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2650 NDArray
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2651 gammainc (double x, const NDArray& a)
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2652 {
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2653 dim_vector dv = a.dims ();
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2654 octave_idx_type nel = dv.numel ();
4844 9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2655
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2656 NDArray retval;
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2657 NDArray result (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++)
4844 9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2662 {
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2663 result (i) = gammainc (x, a(i), err);
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2664
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2665 if (err)
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2666 goto done;
4844 9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2667 }
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2668
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2669 retval = result;
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2670
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2671 done:
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2672
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2673 return retval;
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2674 }
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2675
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2676 NDArray
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2677 gammainc (const NDArray& x, double a)
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2678 {
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2679 dim_vector dv = x.dims ();
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2680 octave_idx_type nel = dv.numel ();
4844 9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2681
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2682 NDArray retval;
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2683 NDArray result (dv);
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2684
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2685 bool err;
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2686
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2687 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	2688 {
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2689 result (i) = gammainc (x(i), a, err);
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2690
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2691 if (err)
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2692 goto done;
4844 9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2693 }
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2694
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2695 retval = result;
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2696
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2697 done:
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2698
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2699 return retval;
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2700 }
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2701
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2702 NDArray
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2703 gammainc (const NDArray& x, const NDArray& a)
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2704 {
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2705 dim_vector dv = x.dims ();
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2706 octave_idx_type nel = dv.numel ();
4844 9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2707
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2708 NDArray retval;
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2709 NDArray result;
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2710
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2711 if (dv == a.dims ())
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2712 {
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2713 result.resize (dv);
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2714
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2715 bool err;
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2716
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2717 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	2718 {
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2719 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	2720
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2721 if (err)
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2722 goto done;
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2723 }
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 retval = result;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2726 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2727 else
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2728 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2729 std::string x_str = dv.str ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2730 std::string a_str = a.dims ().str ();
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 (*current_liboctave_error_handler)
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2733 ("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	2734 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	2735 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2736
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2737 done:
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 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2740 }
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 float
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2743 gammainc (float x, float a, bool& err)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2744 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2745 float retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2746
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2747 err = false;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2748
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2749 if (a < 0.0 \|\| x < 0.0)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2750 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2751 (*current_liboctave_error_handler)
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2752 ("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	2753
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2754 err = true;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2755 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2756 else
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2757 F77_XFCN (xsgammainc, XSGAMMAINC, (a, x, 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 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2760 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2761
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2762 FloatMatrix
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2763 gammainc (float x, const FloatMatrix& a)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2764 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2765 octave_idx_type nr = a.rows ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2766 octave_idx_type nc = a.cols ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2767
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2768 FloatMatrix result (nr, nc);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2769 FloatMatrix retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2770
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2771 bool err;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2772
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2773 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	2774 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	2775 {
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2776 result(i,j) = gammainc (x, a(i,j), err);
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2777
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2778 if (err)
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2779 goto done;
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2780 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2781
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2782 retval = result;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2783
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2784 done:
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2785
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2786 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2787 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2788
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2789 FloatMatrix
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2790 gammainc (const FloatMatrix& x, float a)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2791 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2792 octave_idx_type nr = x.rows ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2793 octave_idx_type nc = x.cols ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2794
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2795 FloatMatrix result (nr, nc);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2796 FloatMatrix 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 bool err;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2799
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2800 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	2801 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	2802 {
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2803 result(i,j) = gammainc (x(i,j), a, err);
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2804
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2805 if (err)
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2806 goto done;
7789 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
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2809 retval = result;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2810
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2811 done:
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2812
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2813 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2814 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2815
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2816 FloatMatrix
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2817 gammainc (const FloatMatrix& x, const FloatMatrix& a)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2818 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2819 FloatMatrix result;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2820 FloatMatrix retval;
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 octave_idx_type nr = x.rows ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2823 octave_idx_type nc = x.cols ();
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 octave_idx_type a_nr = a.rows ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2826 octave_idx_type a_nc = a.cols ();
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 if (nr == a_nr && nc == a_nc)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2829 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2830 result.resize (nr, nc);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2831
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2832 bool err;
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 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	2835 for (octave_idx_type i = 0; i < nr; i++)
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2836 {
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2837 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	2838
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2839 if (err)
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2840 goto done;
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2841 }
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 retval = result;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2844 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2845 else
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2846 (*current_liboctave_error_handler)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2847 ("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	2848 nr, nc, a_nr, a_nc);
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 done:
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2851
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2852 return retval;
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
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2855 FloatNDArray
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2856 gammainc (float x, const FloatNDArray& a)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2857 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2858 dim_vector dv = a.dims ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2859 octave_idx_type nel = dv.numel ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2860
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2861 FloatNDArray retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2862 FloatNDArray result (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++)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2867 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2868 result (i) = gammainc (x, a(i), err);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2869
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2870 if (err)
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2871 goto done;
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2872 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2873
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2874 retval = result;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2875
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2876 done:
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2877
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2878 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2879 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2880
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2881 FloatNDArray
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2882 gammainc (const FloatNDArray& x, float a)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2883 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2884 dim_vector dv = x.dims ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2885 octave_idx_type nel = dv.numel ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2886
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2887 FloatNDArray retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2888 FloatNDArray result (dv);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2889
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2890 bool err;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2891
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2892 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	2893 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2894 result (i) = gammainc (x(i), a, err);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2895
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2896 if (err)
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2897 goto done;
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2898 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2899
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2900 retval = result;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2901
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2902 done:
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2903
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2904 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2905 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2906
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2907 FloatNDArray
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2908 gammainc (const FloatNDArray& x, const FloatNDArray& a)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2909 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2910 dim_vector dv = x.dims ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2911 octave_idx_type nel = dv.numel ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2912
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2913 FloatNDArray retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2914 FloatNDArray result;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2915
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2916 if (dv == a.dims ())
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2917 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2918 result.resize (dv);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2919
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2920 bool err;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2921
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2922 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	2923 {
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2924 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	2925
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2926 if (err)
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2927 goto done;
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2928 }
4844 9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2929
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2930 retval = result;
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2931 }
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2932 else
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2933 {
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2934 std::string x_str = dv.str ();
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2935 std::string a_str = a.dims ().str ();
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2936
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2937 (*current_liboctave_error_handler)
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2938 ("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	2939 x_str.c_str (), a_str.c_str ());
4844 9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2940 }
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2941
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2942 done:
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2943
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2944 return retval;
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2945 }
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2946
9812 f80c566bc751 improve unary mapper system Jaroslav Hajek <highegg@gmail.com> parents: 9732 diff changeset	2947
f80c566bc751 improve unary mapper system Jaroslav Hajek <highegg@gmail.com> parents: 9732 diff changeset	2948 Complex rc_log1p (double x)
f80c566bc751 improve unary mapper system Jaroslav Hajek <highegg@gmail.com> parents: 9732 diff changeset	2949 {
f80c566bc751 improve unary mapper system Jaroslav Hajek <highegg@gmail.com> parents: 9732 diff changeset	2950 const double pi = 3.14159265358979323846;
f80c566bc751 improve unary mapper system Jaroslav Hajek <highegg@gmail.com> parents: 9732 diff changeset	2951 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	2952 }
f80c566bc751 improve unary mapper system Jaroslav Hajek <highegg@gmail.com> parents: 9732 diff changeset	2953
f80c566bc751 improve unary mapper system Jaroslav Hajek <highegg@gmail.com> parents: 9732 diff changeset	2954 FloatComplex rc_log1p (float x)
f80c566bc751 improve unary mapper system Jaroslav Hajek <highegg@gmail.com> parents: 9732 diff changeset	2955 {
f80c566bc751 improve unary mapper system Jaroslav Hajek <highegg@gmail.com> parents: 9732 diff changeset	2956 const float pi = 3.14159265358979323846f;
f80c566bc751 improve unary mapper system Jaroslav Hajek <highegg@gmail.com> parents: 9732 diff changeset	2957 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	2958 }
f80c566bc751 improve unary mapper system Jaroslav Hajek <highegg@gmail.com> parents: 9732 diff changeset	2959
9838 55219e65c7cd fix typo Jaroslav Hajek <highegg@gmail.com> parents: 9837 diff changeset	2960 // This algorithm is due to P. J. Acklam.
9837 7c70084b125e improve comment for 9835 Jaroslav Hajek <highegg@gmail.com> parents: 9835 diff changeset	2961 // See http://home.online.no/~pjacklam/notes/invnorm/
7c70084b125e improve comment for 9835 Jaroslav Hajek <highegg@gmail.com> parents: 9835 diff changeset	2962 // 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	2963 // 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	2964 // 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	2965 // faster evaluation.
1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	2966
1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	2967 static double do_erfinv (double x, bool refine)
1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	2968 {
1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	2969 // Coefficients of rational approximation.
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11574 diff changeset	2970 static const double a[] =
9835 1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	2971 { -2.806989788730439e+01, 1.562324844726888e+02,
1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	2972 -1.951109208597547e+02, 9.783370457507161e+01,
1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	2973 -2.168328665628878e+01, 1.772453852905383e+00 };
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11574 diff changeset	2974 static const double b[] =
9835 1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	2975 { -5.447609879822406e+01, 1.615858368580409e+02,
1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	2976 -1.556989798598866e+02, 6.680131188771972e+01,
1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	2977 -1.328068155288572e+01 };
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11574 diff changeset	2978 static const double c[] =
9835 1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	2979 { -5.504751339936943e-03, -2.279687217114118e-01,
1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	2980 -1.697592457770869e+00, -1.802933168781950e+00,
1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	2981 3.093354679843505e+00, 2.077595676404383e+00 };
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11574 diff changeset	2982 static const double d[] =
9835 1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	2983 { 7.784695709041462e-03, 3.224671290700398e-01,
1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	2984 2.445134137142996e+00, 3.754408661907416e+00 };
1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	2985
14781 e190f6da40f6 maint: Correct comments and use Octave spacing conventions for erfinv. Rik <octave@nomad.inbox5.com> parents: 14771 diff changeset	2986 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	2987 static const double pbreak = 0.95150;
1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	2988 double ax = fabs (x), y;
1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	2989
1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	2990 // Select case.
1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	2991 if (ax <= pbreak)
1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	2992 {
1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	2993 // Middle region.
1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	2994 const double q = 0.5 * x, r = q*q;
1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	2995 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	2996 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	2997 y = yn / yd;
1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	2998 }
1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	2999 else if (ax < 1.0)
1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	3000 {
1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	3001 // Tail region.
1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	3002 const double q = sqrt (-2log (0.5(1-ax)));
1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	3003 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	3004 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	3005 y = yn / yd * signum (-x);
1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	3006 }
1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	3007 else if (ax == 1.0)
1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	3008 return octave_Inf * signum (x);
1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	3009 else
1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	3010 return octave_NaN;
1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	3011
1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	3012 if (refine)
1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	3013 {
1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	3014 // 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	3015 double u = (erf (y) - x) * spi2 * exp (y*y);
9835 1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	3016 y -= u / (1 + y*u);
1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	3017 }
1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	3018
1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	3019 return y;
1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	3020 }
1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	3021
1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	3022 double erfinv (double x)
1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	3023 {
1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	3024 return do_erfinv (x, true);
1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	3025 }
1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	3026
1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	3027 float erfinv (float x)
1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	3028 {
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11574 diff changeset	3029 return do_erfinv (x, false);
9835 1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	3030 }
10391 59e34bcdff13 implement built-in erfcx Jaroslav Hajek <highegg@gmail.com> parents: 10352 diff changeset	3031
14786 e70a0c9cada6 Pre-compute bounds (constant folding) for erfcinv function. Rik <octave@nomad.inbox5.com> parents: 14781 diff changeset	3032 // 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	3033 // 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	3034 // 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	3035
14770 cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3036 static double do_erfcinv (double x, bool refine)
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3037 {
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3038 // Coefficients of rational approximation.
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3039 static const double a[] =
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3040 { -2.806989788730439e+01, 1.562324844726888e+02,
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3041 -1.951109208597547e+02, 9.783370457507161e+01,
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3042 -2.168328665628878e+01, 1.772453852905383e+00 };
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3043 static const double b[] =
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3044 { -5.447609879822406e+01, 1.615858368580409e+02,
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3045 -1.556989798598866e+02, 6.680131188771972e+01,
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3046 -1.328068155288572e+01 };
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3047 static const double c[] =
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3048 { -5.504751339936943e-03, -2.279687217114118e-01,
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3049 -1.697592457770869e+00, -1.802933168781950e+00,
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3050 3.093354679843505e+00, 2.077595676404383e+00 };
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3051 static const double d[] =
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3052 { 7.784695709041462e-03, 3.224671290700398e-01,
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3053 2.445134137142996e+00, 3.754408661907416e+00 };
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3054
14771 10ed11922f19 maint: code cleanup for new erfcinv function. Rik <octave@nomad.inbox5.com> parents: 14770 diff changeset	3055 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	3056 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	3057 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	3058 double y;
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3059
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3060 // Select case.
14786 e70a0c9cada6 Pre-compute bounds (constant folding) for erfcinv function. Rik <octave@nomad.inbox5.com> parents: 14781 diff changeset	3061 if (x >= pbreak_lo && x <= pbreak_hi)
14770 cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3062 {
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3063 // Middle region.
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3064 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	3065 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	3066 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	3067 y = yn / yd;
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3068 }
14786 e70a0c9cada6 Pre-compute bounds (constant folding) for erfcinv function. Rik <octave@nomad.inbox5.com> parents: 14781 diff changeset	3069 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	3070 {
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3071 // Tail region.
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3072 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	3073 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	3074 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	3075 y = yn / yd;
14786 e70a0c9cada6 Pre-compute bounds (constant folding) for erfcinv function. Rik <octave@nomad.inbox5.com> parents: 14781 diff changeset	3076 if (x < pbreak_lo)
e70a0c9cada6 Pre-compute bounds (constant folding) for erfcinv function. Rik <octave@nomad.inbox5.com> parents: 14781 diff changeset	3077 y = -y;
14770 cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3078 }
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3079 else if (x == 0.0)
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3080 return octave_Inf;
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3081 else if (x == 2.0)
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3082 return -octave_Inf;
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3083 else
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3084 return octave_NaN;
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3085
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3086 if (refine)
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3087 {
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3088 // 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	3089 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	3090 y -= u / (1 + y*u);
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3091 }
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3092
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3093 return y;
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3094 }
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3095
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3096 double erfcinv (double x)
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3097 {
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3098 return do_erfcinv (x, true);
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3099 }
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3100
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3101 float erfcinv (float x)
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3102 {
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3103 return do_erfcinv (x, false);
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3104 }
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3105
14816 0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3106 //
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3107 // Incomplete Beta function ratio
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3108 //
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3109 // Algorithm based on the one by John Burkardt.
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3110 // 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	3111 //
14817 67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3112 // The original code is distributed under the GNU LGPL v3 license.
14816 0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3113 //
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3114 // Reference:
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3115 //
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3116 // KL Majumder, GP Bhattacharjee,
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3117 // Algorithm AS 63:
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3118 // The incomplete Beta Integral,
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3119 // Applied Statistics,
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3120 // Volume 22, Number 3, 1973, pages 409-411.
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3121 //
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3122 double
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3123 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	3124 {
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3125 double acu = 0.1E-14, ai, cx;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3126 bool indx;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3127 int ns;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3128 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	3129
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3130 value = x;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3131 err = false;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3132
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3133 // Check the input arguments.
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3134
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3135 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	3136 {
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3137 err = true;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3138 return value;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3139 }
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3140
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3141 // Special cases.
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3142
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3143 if (x == 0.0 \|\| x == 1.0)
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3144 {
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3145 return value;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3146 }
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3147
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3148 // Change tail if necessary and determine S.
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 psq = p + q;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3151 cx = 1.0 - x;
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 if (p < psq * x)
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3154 {
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3155 xx = cx;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3156 cx = x;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3157 pp = q;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3158 qq = p;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3159 indx = true;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3160 }
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3161 else
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3162 {
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3163 xx = x;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3164 pp = p;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3165 qq = q;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3166 indx = false;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3167 }
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 term = 1.0;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3170 ai = 1.0;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3171 value = 1.0;
15217 d2220c3def3f avoid C-style cast warning John W. Eaton <jwe@octave.org> parents: 15084 diff changeset	3172 ns = static_cast<int> (qq + cx * psq);
14816 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 // Use the Soper reduction formula.
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3175
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3176 rx = xx / cx;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3177 temp = qq - ai;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3178 if (ns == 0)
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3179 {
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3180 rx = xx;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3181 }
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3182
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3183 for ( ; ; )
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 term = term * temp * rx / (pp + ai);
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3186 value = value + term;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3187 temp = fabs (term);
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 if (temp <= acu && temp <= acu * 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 value = value * exp (pp * log (xx)
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3192 + (qq - 1.0) * log (cx) - beta) / pp;
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 if (indx)
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3195 {
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3196 value = 1.0 - value;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3197 }
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3198 break;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3199 }
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3200
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3201 ai = ai + 1.0;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3202 ns = ns - 1;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3203
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3204 if (0 <= ns)
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3205 {
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3206 temp = qq - ai;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3207 if (ns == 0)
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3208 {
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3209 rx = xx;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3210 }
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3211 }
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3212 else
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3213 {
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3214 temp = psq;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3215 psq = psq + 1.0;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3216 }
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
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3219 return value;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3220 }
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3221
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3222 //
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3223 // Inverse of the incomplete Beta function
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3224 //
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3225 // Algorithm based on the one by John Burkardt.
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3226 // 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	3227 //
14817 67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3228 // The original code is distributed under the GNU LGPL v3 license.
14816 0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3229 //
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3230 // Reference:
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3231 //
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3232 // GW Cran, KJ Martin, GE Thomas,
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3233 // Remark AS R19 and Algorithm AS 109:
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3234 // 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	3235 // 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	3236 // Applied Statistics,
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3237 // Volume 26, Number 1, 1977, pages 111-114.
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3238 //
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3239 double
15217 d2220c3def3f avoid C-style cast warning John W. Eaton <jwe@octave.org> parents: 15084 diff changeset	3240 betaincinv (double y, double p, double q)
d2220c3def3f avoid C-style cast warning John W. Eaton <jwe@octave.org> parents: 15084 diff changeset	3241 {
14816 0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3242 double a, acu, adj, fpu, g, h;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3243 int iex;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3244 bool indx;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3245 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	3246
14847 bcf86cc2f1ee Use xlgamma instead of lgamma in betaincinv for portability across systems. Rik <octave@nomad.inbox5.com> parents: 14846 diff changeset	3247 double beta = xlgamma (p) + xlgamma (q) - xlgamma (p + q);
14816 0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3248 bool err = false;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3249 fpu = pow (10.0, sae);
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3250 value = y;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3251
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3252 // Test for admissibility of parameters.
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3253
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3254 if (p <= 0.0 \|\| q <= 0.0)
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 (*current_liboctave_error_handler)
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3257 ("betaincinv: wrong parameters");
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3258 }
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3259
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3260 if (y < 0.0 \|\| 1.0 < y)
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 (*current_liboctave_error_handler)
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3263 ("betaincinv: wrong parameter Y");
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 if (y == 0.0 \|\| y == 1.0)
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3267 {
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3268 return value;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3269 }
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3270
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3271 // Change tail if necessary.
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3272
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3273 if (0.5 < y)
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3274 {
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3275 a = 1.0 - y;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3276 pp = q;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3277 qq = p;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3278 indx = true;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3279 }
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3280 else
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3281 {
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3282 a = y;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3283 pp = p;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3284 qq = q;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3285 indx = false;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3286 }
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3287
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3288 // Calculate the initial approximation.
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 r = sqrt (- log (a * a));
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3291
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3292 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	3293
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3294 if (1.0 < pp && 1.0 < qq)
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3295 {
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3296 r = (ycur * ycur - 3.0) / 6.0;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3297 s = 1.0 / (pp + pp - 1.0);
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3298 t = 1.0 / (qq + qq - 1.0);
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3299 h = 2.0 / (s + t);
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3300 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	3301 value = pp / (pp + qq * exp (w + w));
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 else
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 r = qq + qq;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3306 t = 1.0 / (9.0 * qq);
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3307 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	3308
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3309 if (t <= 0.0)
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 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	3312 }
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3313 else
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3314 {
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3315 t = (4.0 * pp + r - 2.0) / t;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3316
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3317 if (t <= 1.0)
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3318 {
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3319 value = exp ((log (a * pp) + beta) / pp);
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3320 }
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3321 else
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 value = 1.0 - 2.0 / (t + 1.0);
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 }
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3326 }
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3327
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3328 // 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	3329 // using the function BETAIN.
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 r = 1.0 - pp;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3332 t = 1.0 - qq;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3333 yprev = 0.0;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3334 sq = 1.0;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3335 prev = 1.0;
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 (value < 0.0001)
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 value = 0.0001;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3340 }
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3341
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3342 if (0.9999 < value)
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3343 {
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3344 value = 0.9999;
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
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3347 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	3348
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3349 acu = pow (10.0, iex);
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3350
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3351 for ( ; ; )
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3352 {
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3353 ycur = betain (value, pp, qq, beta, err);
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3354
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3355 if (err)
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3356 {
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3357 return value;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3358 }
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 xin = value;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3361 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	3362
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3363 if (ycur * yprev <= 0.0)
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3364 {
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3365 prev = std::max (sq, fpu);
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3366 }
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 g = 1.0;
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 for ( ; ; )
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3371 {
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3372 for ( ; ; )
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 adj = g * ycur;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3375 sq = adj * adj;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3376
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3377 if (sq < prev)
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3378 {
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3379 tx = value - adj;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3380
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3381 if (0.0 <= tx && tx <= 1.0)
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3382 {
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3383 break;
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 }
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3386 g = g / 3.0;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3387 }
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 if (prev <= acu)
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3390 {
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3391 if (indx)
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3392 {
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3393 value = 1.0 - value;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3394 }
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3395 return value;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3396 }
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 (ycur * ycur <= acu)
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 if (indx)
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 value = 1.0 - value;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3403 }
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3404 return value;
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
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3407 if (tx != 0.0 && tx != 1.0)
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3408 {
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3409 break;
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
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3412 g = g / 3.0;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3413 }
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3414
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3415 if (tx == value)
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 break;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3418 }
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3419
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3420 value = tx;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3421 yprev = ycur;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3422 }
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3423
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3424 if (indx)
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 value = 1.0 - value;
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 return value;
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
14817 67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3432 Array<double>
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3433 betaincinv (double x, double a, const Array<double>& b)
14816 0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3434 {
14817 67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3435 dim_vector dv = b.dims ();
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3436 octave_idx_type nel = dv.numel ();
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3437
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3438 Array<double> retval (dv);
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3439
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3440 double *pretval = retval.fortran_vec ();
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3441
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3442 for (octave_idx_type i = 0; i < nel; i++)
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3443 *pretval++ = betaincinv (x, a, b(i));
14816 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 return retval;
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
14817 67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3448 Array<double>
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3449 betaincinv (double x, const Array<double>& a, double b)
14816 0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3450 {
14817 67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3451 dim_vector dv = a.dims ();
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3452 octave_idx_type nel = dv.numel ();
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3453
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3454 Array<double> retval (dv);
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3455
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3456 double *pretval = retval.fortran_vec ();
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3457
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3458 for (octave_idx_type i = 0; i < nel; i++)
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3459 *pretval++ = betaincinv (x, a(i), b);
14816 0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3460
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3461 return retval;
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
14817 67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3464 Array<double>
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3465 betaincinv (double x, const Array<double>& a, const Array<double>& b)
14816 0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3466 {
14817 67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3467 Array<double> retval;
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3468 dim_vector dv = a.dims ();
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3469
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3470 if (dv == b.dims ())
14816 0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3471 {
14817 67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3472 octave_idx_type nel = dv.numel ();
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3473
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3474 retval.resize (dv);
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3475
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3476 double *pretval = retval.fortran_vec ();
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3477
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3478 for (octave_idx_type i = 0; i < nel; i++)
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3479 *pretval++ = betaincinv (x, a(i), b(i));
14816 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 else
14817 67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3482 gripe_betaincinv_nonconformant (dim_vector (0, 0), dv, b.dims ());
14816 0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3483
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3484 return retval;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3485 }
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3486
14817 67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3487 Array<double>
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3488 betaincinv (const Array<double>& x, double a, double b)
14816 0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3489 {
14817 67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3490 dim_vector dv = x.dims ();
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3491 octave_idx_type nel = dv.numel ();
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3492
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3493 Array<double> retval (dv);
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3494
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3495 double *pretval = retval.fortran_vec ();
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3496
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3497 for (octave_idx_type i = 0; i < nel; i++)
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3498 *pretval++ = betaincinv (x(i), a, b);
14816 0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3499
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3500 return retval;
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
14817 67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3503 Array<double>
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3504 betaincinv (const Array<double>& x, double a, const Array<double>& b)
14816 0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3505 {
14817 67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3506 Array<double> retval;
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3507 dim_vector dv = x.dims ();
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3508
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3509 if (dv == b.dims ())
14816 0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3510 {
14817 67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3511 octave_idx_type nel = dv.numel ();
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3512
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3513 retval.resize (dv);
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3514
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3515 double *pretval = retval.fortran_vec ();
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3516
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3517 for (octave_idx_type i = 0; i < nel; i++)
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3518 *pretval++ = betaincinv (x(i), a, b(i));
14816 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 else
14817 67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3521 gripe_betaincinv_nonconformant (dv, dim_vector (0, 0), b.dims ());
14816 0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3522
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3523 return retval;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3524 }
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3525
14817 67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3526 Array<double>
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3527 betaincinv (const Array<double>& x, const Array<double>& a, double b)
14816 0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3528 {
14817 67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3529 Array<double> retval;
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3530 dim_vector dv = x.dims ();
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3531
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3532 if (dv == a.dims ())
14816 0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3533 {
14817 67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3534 octave_idx_type nel = dv.numel ();
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3535
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3536 retval.resize (dv);
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3537
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3538 double *pretval = retval.fortran_vec ();
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3539
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3540 for (octave_idx_type i = 0; i < nel; i++)
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3541 *pretval++ = betaincinv (x(i), a(i), b);
14816 0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3542 }
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3543 else
14817 67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3544 gripe_betaincinv_nonconformant (dv, a.dims (), dim_vector (0, 0));
14816 0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3545
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3546 return retval;
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
14817 67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3549 Array<double>
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3550 betaincinv (const Array<double>& x, const Array<double>& a, const Array<double>& b)
14816 0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3551 {
14817 67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3552 Array<double> retval;
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3553 dim_vector dv = x.dims ();
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3554
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3555 if (dv == a.dims () && dv == b.dims ())
14816 0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3556 {
14817 67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3557 octave_idx_type nel = dv.numel ();
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3558
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3559 retval.resize (dv);
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3560
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3561 double *pretval = retval.fortran_vec ();
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3562
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3563 for (octave_idx_type i = 0; i < nel; i++)
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3564 *pretval++ = betaincinv (x(i), a(i), b(i));
14816 0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3565 }
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3566 else
14817 67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3567 gripe_betaincinv_nonconformant (dv, a.dims (), b.dims ());
14816 0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3568
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3569 return retval;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3570 }
17532 578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3571
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3572 void
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3573 ellipj (double u, double m, double& sn, double& cn, double& dn, double& err)
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3574 {
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3575 static const int Nmax = 16;
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3576 double m1, t=0, si_u, co_u, se_u, ta_u, b, c[Nmax], a[Nmax], phi;
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3577 int n, Nn, ii;
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3578
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3579 if (m < 0 \|\| m > 1)
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3580 {
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3581 (*current_liboctave_warning_handler)
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3582 ("ellipj: expecting 0 <= M <= 1");
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3583 sn = cn = dn = lo_ieee_nan_value ();
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3584 return;
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3585 }
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3586
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3587 double sqrt_eps = sqrt (std::numeric_limits<double>::epsilon ());
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3588 if (m < sqrt_eps)
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3589 {
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3590 // For small m, ( Abramowitz and Stegun, Section 16.13 )
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3591 si_u = sin (u);
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3592 co_u = cos (u);
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3593 t = 0.25m(u - si_u*co_u);
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3594 sn = si_u - t * co_u;
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3595 cn = co_u + t * si_u;
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3596 dn = 1 - 0.5msi_u*si_u;
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3597 }
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3598 else if ((1 - m) < sqrt_eps)
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3599 {
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3600 // For m1 = (1-m) small ( Abramowitz and Stegun, Section 16.15 )
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3601 m1 = 1 - m;
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3602 si_u = sinh (u);
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3603 co_u = cosh (u);
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3604 ta_u = tanh (u);
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3605 se_u = 1/co_u;
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3606 sn = ta_u + 0.25m1(si_uco_u - u)se_u*se_u;
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3607 cn = se_u - 0.25m1(si_uco_u - u)ta_u*se_u;
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3608 dn = se_u + 0.25m1(si_uco_u + u)ta_u*se_u;
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3609 }
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3610 else
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3611 {
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3612 // Arithmetic-Geometric Mean (AGM) algorithm
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3613 // ( Abramowitz and Stegun, Section 16.4 )
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3614 a[0] = 1;
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3615 b = sqrt (1 - m);
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3616 c[0] = sqrt (m);
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3617 for (n = 1; n < Nmax; ++n)
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3618 {
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3619 a[n] = (a[n - 1] + b)/2;
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3620 c[n] = (a[n - 1] - b)/2;
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3621 b = sqrt (a[n - 1]*b);
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3622 if (c[n]/a[n] < std::numeric_limits<double>::epsilon ()) break;
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3623 }
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3624 if (n >= Nmax - 1)
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3625 {
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3626 err = 1;
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3627 return;
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3628 }
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3629 Nn = n;
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3630 for (ii = 1; n > 0; ii = ii*2, --n) ; // ii = pow(2,Nn)
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3631 phi = iia[Nn]u;
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3632 for (n = Nn; n > 0; --n)
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3633 {
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3634 t = phi;
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3635 phi = (asin ((c[n]/a[n])* sin (phi)) + phi)/2;
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3636 }
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3637 sn = sin (phi);
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3638 cn = cos (phi);
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3639 dn = cn/cos (t - phi);
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3640 }
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3641 }
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3642
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3643 void
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3644 ellipj (const Complex& u, double m, Complex& sn, Complex& cn, Complex& dn, double& err)
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3645 {
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3646 double m1 = 1 - m, ss1, cc1, dd1;
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3647
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3648 ellipj (imag (u), m1, ss1, cc1, dd1, err);
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3649 if (real (u) == 0)
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3650 {
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3651 // u is pure imag: Jacoby imag. transf.
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3652 sn = Complex (0, ss1/cc1);
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3653 cn = 1/cc1; // cn.imag = 0;
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3654 dn = dd1/cc1; // dn.imag = 0;
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3655 }
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3656 else
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3657 {
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3658 // u is generic complex
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3659 double ss, cc, dd, ddd;
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3660
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3661 ellipj (real (u), m, ss, cc, dd, err);
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3662 ddd = cc1cc1 + mssssss1*ss1;
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3663 sn = Complex (ssdd1/ddd, ccddss1cc1/ddd);
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3664 cn = Complex (cccc1/ddd, -ssddss1dd1/ddd);
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3665 dn = Complex (ddcc1dd1/ddd, -msscc*ss1/ddd);
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3666 }
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3667 }

Mercurial > hg > octave-lyh

annotate liboctave/numeric/lo-specfun.cc @ 17532:578805a293e5