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

annotate liboctave/numeric/lo-specfun.cc @ 17741:f6293489fe88

avoid warnings about casts and gnulib functions * lo-specfun.cc (xgamma): Use C++ style casts and gnulib:: tag for floor function.

author	John W. Eaton <jwe@octave.org>
date	Wed, 23 Oct 2013 18:27:06 -0400
parents	f10b7a578e2c
children	d63878346099

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
17708 f10b7a578e2c Correct return values of gamma() (see Numerical, item 3 on Projects page). Craig Hudson <c_hudson_phd@hotmail.com> parents: 17502 diff changeset	369 if (xisnan (x) \|\| (x < 0 && (xisinf (x) \|\| D_NINT (x) == x)))
f10b7a578e2c Correct return values of gamma() (see Numerical, item 3 on Projects page). Craig Hudson <c_hudson_phd@hotmail.com> parents: 17502 diff changeset	370 result = octave_NaN;
f10b7a578e2c Correct return values of gamma() (see Numerical, item 3 on Projects page). Craig Hudson <c_hudson_phd@hotmail.com> parents: 17502 diff changeset	371 else if (x == 0 && xnegative_sign (x))
f10b7a578e2c Correct return values of gamma() (see Numerical, item 3 on Projects page). Craig Hudson <c_hudson_phd@hotmail.com> parents: 17502 diff changeset	372 result = -octave_Inf;
f10b7a578e2c Correct return values of gamma() (see Numerical, item 3 on Projects page). Craig Hudson <c_hudson_phd@hotmail.com> parents: 17502 diff changeset	373 else if (x == 0 \|\| xisinf (x))
5701 252b6754e545 [project @ 2006-03-21 18:15:42 by jwe] jwe parents: 5700 diff changeset	374 result = octave_Inf;
252b6754e545 [project @ 2006-03-21 18:15:42 by jwe] jwe parents: 5700 diff changeset	375 else
17708 f10b7a578e2c Correct return values of gamma() (see Numerical, item 3 on Projects page). Craig Hudson <c_hudson_phd@hotmail.com> parents: 17502 diff changeset	376 {
11327 ef0e995f8c0f correctly compute gamma for negative integer values when tgamma is available Marco Atzeri <marco_atzeri@yahoo.it> parents: 10902 diff changeset	377 #if defined (HAVE_TGAMMA)
17708 f10b7a578e2c Correct return values of gamma() (see Numerical, item 3 on Projects page). Craig Hudson <c_hudson_phd@hotmail.com> parents: 17502 diff changeset	378 result = tgamma (x);
11327 ef0e995f8c0f correctly compute gamma for negative integer values when tgamma is available Marco Atzeri <marco_atzeri@yahoo.it> parents: 10902 diff changeset	379 #else
17708 f10b7a578e2c Correct return values of gamma() (see Numerical, item 3 on Projects page). Craig Hudson <c_hudson_phd@hotmail.com> parents: 17502 diff changeset	380 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	381 #endif
17741 f6293489fe88 avoid warnings about casts and gnulib functions John W. Eaton <jwe@octave.org> parents: 17708 diff changeset	382 if (xisinf (result) && (static_cast<int> (gnulib::floor (x)) % 2))
17708 f10b7a578e2c Correct return values of gamma() (see Numerical, item 3 on Projects page). Craig Hudson <c_hudson_phd@hotmail.com> parents: 17502 diff changeset	383 result = -octave_Inf;
f10b7a578e2c Correct return values of gamma() (see Numerical, item 3 on Projects page). Craig Hudson <c_hudson_phd@hotmail.com> parents: 17502 diff changeset	384 }
6969 0a64abe792f4 [project @ 2007-10-06 14:15:19 by jwe] jwe parents: 6961 diff changeset	385
3156 a494f93e60ff [project @ 1998-02-20 07:47:48 by jwe] jwe parents: 3146 diff changeset	386 return result;
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	387 }
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	388
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	389 double
3156 a494f93e60ff [project @ 1998-02-20 07:47:48 by jwe] jwe parents: 3146 diff changeset	390 xlgamma (double x)
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	391 {
6969 0a64abe792f4 [project @ 2007-10-06 14:15:19 by jwe] jwe parents: 6961 diff changeset	392 #if defined (HAVE_LGAMMA)
0a64abe792f4 [project @ 2007-10-06 14:15:19 by jwe] jwe parents: 6961 diff changeset	393 return lgamma (x);
0a64abe792f4 [project @ 2007-10-06 14:15:19 by jwe] jwe parents: 6961 diff changeset	394 #else
3156 a494f93e60ff [project @ 1998-02-20 07:47:48 by jwe] jwe parents: 3146 diff changeset	395 double result;
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	396 double sgngam;
4497 2a02f3a16fe0 [project @ 2003-09-04 18:48:13 by jwe] jwe parents: 4490 diff changeset	397
5701 252b6754e545 [project @ 2006-03-21 18:15:42 by jwe] jwe parents: 5700 diff changeset	398 if (xisnan (x))
252b6754e545 [project @ 2006-03-21 18:15:42 by jwe] jwe parents: 5700 diff changeset	399 result = x;
10902 9a64e02e2aad Validate input arguments for gamma, lgamma. Tatsuro MATSUOKA <tmacchant@yahoo.co.jp> parents: 10521 diff changeset	400 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	401 result = octave_Inf;
5700 67118c88cee7 [project @ 2006-03-21 17:31:45 by jwe] jwe parents: 5307 diff changeset	402 else
67118c88cee7 [project @ 2006-03-21 17:31:45 by jwe] jwe parents: 5307 diff changeset	403 F77_XFCN (dlgams, DLGAMS, (x, result, sgngam));
4497 2a02f3a16fe0 [project @ 2003-09-04 18:48:13 by jwe] jwe parents: 4490 diff changeset	404
3156 a494f93e60ff [project @ 1998-02-20 07:47:48 by jwe] jwe parents: 3146 diff changeset	405 return result;
6969 0a64abe792f4 [project @ 2007-10-06 14:15:19 by jwe] jwe parents: 6961 diff changeset	406 #endif
6961 b559b4bcf51f [project @ 2007-10-05 19:35:21 by jwe] jwe parents: 5775 diff changeset	407 }
b559b4bcf51f [project @ 2007-10-05 19:35:21 by jwe] jwe parents: 5775 diff changeset	408
7601 8a939b217863 Treat negative values to lgamma and beta correctly David Bateman <dbateman@free.fr> parents: 7176 diff changeset	409 Complex
9812 f80c566bc751 improve unary mapper system Jaroslav Hajek <highegg@gmail.com> parents: 9732 diff changeset	410 rc_lgamma (double x)
7601 8a939b217863 Treat negative values to lgamma and beta correctly David Bateman <dbateman@free.fr> parents: 7176 diff changeset	411 {
8a939b217863 Treat negative values to lgamma and beta correctly David Bateman <dbateman@free.fr> parents: 7176 diff changeset	412 double result;
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 defined (HAVE_LGAMMA_R)
8a939b217863 Treat negative values to lgamma and beta correctly David Bateman <dbateman@free.fr> parents: 7176 diff changeset	415 int sgngam;
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11574 diff changeset	416 result = lgamma_r (x, &sgngam);
7601 8a939b217863 Treat negative values to lgamma and beta correctly David Bateman <dbateman@free.fr> parents: 7176 diff changeset	417 #else
8a939b217863 Treat negative values to lgamma and beta correctly David Bateman <dbateman@free.fr> parents: 7176 diff changeset	418 double sgngam;
8a939b217863 Treat negative values to lgamma and beta correctly David Bateman <dbateman@free.fr> parents: 7176 diff changeset	419
8a939b217863 Treat negative values to lgamma and beta correctly David Bateman <dbateman@free.fr> parents: 7176 diff changeset	420 if (xisnan (x))
8a939b217863 Treat negative values to lgamma and beta correctly David Bateman <dbateman@free.fr> parents: 7176 diff changeset	421 result = x;
10902 9a64e02e2aad Validate input arguments for gamma, lgamma. Tatsuro MATSUOKA <tmacchant@yahoo.co.jp> parents: 10521 diff changeset	422 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	423 result = octave_Inf;
8a939b217863 Treat negative values to lgamma and beta correctly David Bateman <dbateman@free.fr> parents: 7176 diff changeset	424 else
8a939b217863 Treat negative values to lgamma and beta correctly David Bateman <dbateman@free.fr> parents: 7176 diff changeset	425 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	426
8a939b217863 Treat negative values to lgamma and beta correctly David Bateman <dbateman@free.fr> parents: 7176 diff changeset	427 #endif
8a939b217863 Treat negative values to lgamma and beta correctly David Bateman <dbateman@free.fr> parents: 7176 diff changeset	428
8a939b217863 Treat negative values to lgamma and beta correctly David Bateman <dbateman@free.fr> parents: 7176 diff changeset	429 if (sgngam < 0)
8a939b217863 Treat negative values to lgamma and beta correctly David Bateman <dbateman@free.fr> parents: 7176 diff changeset	430 return result + Complex (0., M_PI);
8a939b217863 Treat negative values to lgamma and beta correctly David Bateman <dbateman@free.fr> parents: 7176 diff changeset	431 else
8a939b217863 Treat negative values to lgamma and beta correctly David Bateman <dbateman@free.fr> parents: 7176 diff changeset	432 return result;
8a939b217863 Treat negative values to lgamma and beta correctly David Bateman <dbateman@free.fr> parents: 7176 diff changeset	433 }
8a939b217863 Treat negative values to lgamma and beta correctly David Bateman <dbateman@free.fr> parents: 7176 diff changeset	434
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	435 float
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	436 xgamma (float x)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	437 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	438 float result;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	439
17708 f10b7a578e2c Correct return values of gamma() (see Numerical, item 3 on Projects page). Craig Hudson <c_hudson_phd@hotmail.com> parents: 17502 diff changeset	440 if (xisnan (x) \|\| (x < 0 && (xisinf (x) \|\| D_NINT (x) == x)))
f10b7a578e2c Correct return values of gamma() (see Numerical, item 3 on Projects page). Craig Hudson <c_hudson_phd@hotmail.com> parents: 17502 diff changeset	441 result = octave_Float_NaN;
f10b7a578e2c Correct return values of gamma() (see Numerical, item 3 on Projects page). Craig Hudson <c_hudson_phd@hotmail.com> parents: 17502 diff changeset	442 else if (x == 0 && xnegative_sign (x))
f10b7a578e2c Correct return values of gamma() (see Numerical, item 3 on Projects page). Craig Hudson <c_hudson_phd@hotmail.com> parents: 17502 diff changeset	443 result = -octave_Float_Inf;
f10b7a578e2c Correct return values of gamma() (see Numerical, item 3 on Projects page). Craig Hudson <c_hudson_phd@hotmail.com> parents: 17502 diff changeset	444 else if (x == 0 \|\| xisinf (x))
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	445 result = octave_Float_Inf;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	446 else
17708 f10b7a578e2c Correct return values of gamma() (see Numerical, item 3 on Projects page). Craig Hudson <c_hudson_phd@hotmail.com> parents: 17502 diff changeset	447 {
f10b7a578e2c Correct return values of gamma() (see Numerical, item 3 on Projects page). Craig Hudson <c_hudson_phd@hotmail.com> parents: 17502 diff changeset	448 #if defined (HAVE_TGAMMA)
f10b7a578e2c Correct return values of gamma() (see Numerical, item 3 on Projects page). Craig Hudson <c_hudson_phd@hotmail.com> parents: 17502 diff changeset	449 result = tgammaf (x);
11327 ef0e995f8c0f correctly compute gamma for negative integer values when tgamma is available Marco Atzeri <marco_atzeri@yahoo.it> parents: 10902 diff changeset	450 #else
17708 f10b7a578e2c Correct return values of gamma() (see Numerical, item 3 on Projects page). Craig Hudson <c_hudson_phd@hotmail.com> parents: 17502 diff changeset	451 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	452 #endif
17741 f6293489fe88 avoid warnings about casts and gnulib functions John W. Eaton <jwe@octave.org> parents: 17708 diff changeset	453 if (xisinf (result) && (static_cast<int> (gnulib::floor (x)) % 2))
17708 f10b7a578e2c Correct return values of gamma() (see Numerical, item 3 on Projects page). Craig Hudson <c_hudson_phd@hotmail.com> parents: 17502 diff changeset	454 result = -octave_Float_Inf;
f10b7a578e2c Correct return values of gamma() (see Numerical, item 3 on Projects page). Craig Hudson <c_hudson_phd@hotmail.com> parents: 17502 diff changeset	455 }
7789 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 return result;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	458 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	459
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	460 float
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	461 xlgamma (float x)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	462 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	463 #if defined (HAVE_LGAMMAF)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	464 return lgammaf (x);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	465 #else
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	466 float result;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	467 float sgngam;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	468
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	469 if (xisnan (x))
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	470 result = x;
10902 9a64e02e2aad Validate input arguments for gamma, lgamma. Tatsuro MATSUOKA <tmacchant@yahoo.co.jp> parents: 10521 diff changeset	471 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	472 result = octave_Float_Inf;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	473 else
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	474 F77_XFCN (algams, ALGAMS, (x, result, sgngam));
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	475
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	476 return result;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	477 #endif
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
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	480 FloatComplex
9812 f80c566bc751 improve unary mapper system Jaroslav Hajek <highegg@gmail.com> parents: 9732 diff changeset	481 rc_lgamma (float x)
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	482 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	483 float result;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	484
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	485 #if defined (HAVE_LGAMMAF_R)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	486 int sgngam;
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11574 diff changeset	487 result = lgammaf_r (x, &sgngam);
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	488 #else
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	489 float sgngam;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	490
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	491 if (xisnan (x))
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	492 result = x;
10902 9a64e02e2aad Validate input arguments for gamma, lgamma. Tatsuro MATSUOKA <tmacchant@yahoo.co.jp> parents: 10521 diff changeset	493 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	494 result = octave_Float_Inf;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	495 else
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	496 F77_XFCN (algams, ALGAMS, (x, result, sgngam));
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	497
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	498 #endif
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	499
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	500 if (sgngam < 0)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	501 return result + FloatComplex (0., M_PI);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	502 else
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	503 return result;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	504 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	505
7638 2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	506 #if !defined (HAVE_EXPM1)
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	507 double
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	508 expm1 (double x)
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	509 {
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	510 double retval;
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	511
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	512 double ax = fabs (x);
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	513
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	514 if (ax < 0.1)
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	515 {
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	516 ax /= 16;
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	517
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	518 // use Taylor series to calculate exp(x)-1.
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	519 double t = ax;
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11574 diff changeset	520 double s = 0;
7638 2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	521 for (int i = 2; i < 7; i++)
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	522 s += (t *= ax/i);
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	523 s += ax;
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	524
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	525 // 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	526 double e = s;
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	527 for (int i = 0; i < 4; i++)
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	528 {
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	529 s *= e + 2;
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	530 e *= e + 2;
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	531 }
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 retval = (x > 0) ? s : -s / (1+s);
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 else
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	536 retval = exp (x) - 1;
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	537
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	538 return retval;
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	539 }
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	540 #endif
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	541
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11574 diff changeset	542 Complex
15018 3d8ace26c5b4 maint: Use Octave coding conventions for cuddled parentheses in liboctave/. Rik <rik@octave.org> parents: 14847 diff changeset	543 expm1 (const Complex& x)
7638 2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	544 {
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	545 Complex retval;
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	546
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	547 if (std:: abs (x) < 1)
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	548 {
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	549 double im = x.imag ();
7638 2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	550 double u = expm1 (x.real ());
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	551 double v = sin (im/2);
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	552 v = -2vv;
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	553 retval = Complex (uv + u + v, (u+1) sin (im));
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	554 }
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	555 else
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	556 retval = std::exp (x) - Complex (1);
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	557
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	558 return retval;
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	559 }
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	560
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	561 #if !defined (HAVE_EXPM1F)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	562 float
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	563 expm1f (float x)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	564 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	565 float retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	566
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	567 float ax = fabs (x);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	568
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	569 if (ax < 0.1)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	570 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	571 ax /= 16;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	572
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	573 // use Taylor series to calculate exp(x)-1.
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	574 float t = ax;
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11574 diff changeset	575 float s = 0;
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	576 for (int i = 2; i < 7; i++)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	577 s += (t *= ax/i);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	578 s += ax;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	579
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	580 // 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	581 float e = s;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	582 for (int i = 0; i < 4; i++)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	583 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	584 s *= e + 2;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	585 e *= e + 2;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	586 }
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 retval = (x > 0) ? s : -s / (1+s);
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 else
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	591 retval = exp (x) - 1;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	592
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	593 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	594 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	595 #endif
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	596
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11574 diff changeset	597 FloatComplex
15018 3d8ace26c5b4 maint: Use Octave coding conventions for cuddled parentheses in liboctave/. Rik <rik@octave.org> parents: 14847 diff changeset	598 expm1 (const FloatComplex& x)
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	599 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	600 FloatComplex retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	601
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	602 if (std:: abs (x) < 1)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	603 {
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	604 float im = x.imag ();
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	605 float u = expm1 (x.real ());
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	606 float v = sin (im/2);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	607 v = -2vv;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	608 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	609 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	610 else
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	611 retval = std::exp (x) - FloatComplex (1);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	612
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	613 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	614 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	615
7638 2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	616 #if !defined (HAVE_LOG1P)
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	617 double
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	618 log1p (double x)
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	619 {
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	620 double retval;
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	621
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	622 double ax = fabs (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 if (ax < 0.2)
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 // 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	627 double u = x / (2 + x), t = 1, s = 0;
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	628 for (int i = 2; i < 12; i += 2)
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	629 s += (t = uu) / (i+1);
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 retval = 2 * (s + 1) * u;
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	632 }
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	633 else
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	634 retval = log (1 + x);
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	635
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	636 return retval;
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	637 }
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	638 #endif
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	639
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11574 diff changeset	640 Complex
7638 2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	641 log1p (const Complex& x)
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	642 {
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	643 Complex retval;
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	644
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	645 double r = x.real (), i = x.imag ();
7638 2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	646
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	647 if (fabs (r) < 0.5 && fabs (i) < 0.5)
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	648 {
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	649 double u = 2r + rr + i*i;
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	650 retval = Complex (log1p (u / (1+sqrt (u+1))),
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	651 atan2 (1 + r, i));
7638 2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	652 }
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	653 else
15018 3d8ace26c5b4 maint: Use Octave coding conventions for cuddled parentheses in liboctave/. Rik <rik@octave.org> parents: 14847 diff changeset	654 retval = std::log (Complex (1) + x);
7638 2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	655
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	656 return retval;
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	657 }
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	658
10414 2a8b1db1e2ca implement built-in cbrt Jaroslav Hajek <highegg@gmail.com> parents: 10391 diff changeset	659 #if !defined (HAVE_CBRT)
2a8b1db1e2ca implement built-in cbrt Jaroslav Hajek <highegg@gmail.com> parents: 10391 diff changeset	660 double cbrt (double x)
2a8b1db1e2ca implement built-in cbrt Jaroslav Hajek <highegg@gmail.com> parents: 10391 diff changeset	661 {
2a8b1db1e2ca implement built-in cbrt Jaroslav Hajek <highegg@gmail.com> parents: 10391 diff changeset	662 static const double one_third = 0.3333333333333333333;
2a8b1db1e2ca implement built-in cbrt Jaroslav Hajek <highegg@gmail.com> parents: 10391 diff changeset	663 if (xfinite (x))
2a8b1db1e2ca implement built-in cbrt Jaroslav Hajek <highegg@gmail.com> parents: 10391 diff changeset	664 {
2a8b1db1e2ca implement built-in cbrt Jaroslav Hajek <highegg@gmail.com> parents: 10391 diff changeset	665 // Use pow.
2a8b1db1e2ca implement built-in cbrt Jaroslav Hajek <highegg@gmail.com> parents: 10391 diff changeset	666 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	667 // Correct for better accuracy.
2a8b1db1e2ca implement built-in cbrt Jaroslav Hajek <highegg@gmail.com> parents: 10391 diff changeset	668 return (x / (y*y) + y + y) / 3;
2a8b1db1e2ca implement built-in cbrt Jaroslav Hajek <highegg@gmail.com> parents: 10391 diff changeset	669 }
2a8b1db1e2ca implement built-in cbrt Jaroslav Hajek <highegg@gmail.com> parents: 10391 diff changeset	670 else
2a8b1db1e2ca implement built-in cbrt Jaroslav Hajek <highegg@gmail.com> parents: 10391 diff changeset	671 return x;
2a8b1db1e2ca implement built-in cbrt Jaroslav Hajek <highegg@gmail.com> parents: 10391 diff changeset	672 }
2a8b1db1e2ca implement built-in cbrt Jaroslav Hajek <highegg@gmail.com> parents: 10391 diff changeset	673 #endif
2a8b1db1e2ca implement built-in cbrt Jaroslav Hajek <highegg@gmail.com> parents: 10391 diff changeset	674
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	675 #if !defined (HAVE_LOG1PF)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	676 float
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	677 log1pf (float x)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	678 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	679 float retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	680
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	681 float ax = fabs (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 if (ax < 0.2)
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 // 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	686 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	687 for (int i = 2; i < 12; i += 2)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	688 s += (t = uu) / (i+1);
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 retval = 2 * (s + 1) * u;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	691 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	692 else
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	693 retval = log (1 + x);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	694
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	695 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	696 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	697 #endif
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	698
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11574 diff changeset	699 FloatComplex
9812 f80c566bc751 improve unary mapper system Jaroslav Hajek <highegg@gmail.com> parents: 9732 diff changeset	700 log1p (const FloatComplex& x)
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	701 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	702 FloatComplex retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	703
14816 0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	704 float r = x.real (), i = x.imag ();
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	705
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	706 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	707 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	708 float u = 2r + rr + i*i;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	709 retval = FloatComplex (log1p (u / (1+sqrt (u+1))),
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	710 atan2 (1 + r, i));
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	711 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	712 else
15018 3d8ace26c5b4 maint: Use Octave coding conventions for cuddled parentheses in liboctave/. Rik <rik@octave.org> parents: 14847 diff changeset	713 retval = std::log (FloatComplex (1) + x);
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	714
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	715 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	716 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	717
10414 2a8b1db1e2ca implement built-in cbrt Jaroslav Hajek <highegg@gmail.com> parents: 10391 diff changeset	718 #if !defined (HAVE_CBRTF)
2a8b1db1e2ca implement built-in cbrt Jaroslav Hajek <highegg@gmail.com> parents: 10391 diff changeset	719 float cbrtf (float x)
2a8b1db1e2ca implement built-in cbrt Jaroslav Hajek <highegg@gmail.com> parents: 10391 diff changeset	720 {
2a8b1db1e2ca implement built-in cbrt Jaroslav Hajek <highegg@gmail.com> parents: 10391 diff changeset	721 static const float one_third = 0.3333333333333333333f;
2a8b1db1e2ca implement built-in cbrt Jaroslav Hajek <highegg@gmail.com> parents: 10391 diff changeset	722 if (xfinite (x))
2a8b1db1e2ca implement built-in cbrt Jaroslav Hajek <highegg@gmail.com> parents: 10391 diff changeset	723 {
2a8b1db1e2ca implement built-in cbrt Jaroslav Hajek <highegg@gmail.com> parents: 10391 diff changeset	724 // Use pow.
2a8b1db1e2ca implement built-in cbrt Jaroslav Hajek <highegg@gmail.com> parents: 10391 diff changeset	725 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	726 // Correct for better accuracy.
2a8b1db1e2ca implement built-in cbrt Jaroslav Hajek <highegg@gmail.com> parents: 10391 diff changeset	727 return (x / (y*y) + y + y) / 3;
2a8b1db1e2ca implement built-in cbrt Jaroslav Hajek <highegg@gmail.com> parents: 10391 diff changeset	728 }
2a8b1db1e2ca implement built-in cbrt Jaroslav Hajek <highegg@gmail.com> parents: 10391 diff changeset	729 else
2a8b1db1e2ca implement built-in cbrt Jaroslav Hajek <highegg@gmail.com> parents: 10391 diff changeset	730 return x;
2a8b1db1e2ca implement built-in cbrt Jaroslav Hajek <highegg@gmail.com> parents: 10391 diff changeset	731 }
2a8b1db1e2ca implement built-in cbrt Jaroslav Hajek <highegg@gmail.com> parents: 10391 diff changeset	732 #endif
2a8b1db1e2ca implement built-in cbrt Jaroslav Hajek <highegg@gmail.com> parents: 10391 diff changeset	733
3220 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 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	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 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	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 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	742
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	743 static inline Complex
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	744 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	745
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	746 static inline Complex
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	747 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	748
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	749 static inline Complex
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	750 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	751
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	752 static inline Complex
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	753 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	754 {
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	755 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	756 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	757
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	758 Complex retval;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	759
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	760 switch (ierr)
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	761 {
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	762 case 0:
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	763 case 3:
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	764 retval = val;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	765 break;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	766
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	767 case 2:
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	768 retval = inf_val;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	769 break;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	770
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	771 default:
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	772 retval = nan_val;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	773 break;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	774 }
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	775
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	776 return retval;
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	777 }
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	778
4911 14027e0bafa4 [project @ 2004-07-22 19:58:06 by jwe] jwe parents: 4844 diff changeset	779 static inline bool
14027e0bafa4 [project @ 2004-07-22 19:58:06 by jwe] jwe parents: 4844 diff changeset	780 is_integer_value (double x)
14027e0bafa4 [project @ 2004-07-22 19:58:06 by jwe] jwe parents: 4844 diff changeset	781 {
14027e0bafa4 [project @ 2004-07-22 19:58:06 by jwe] jwe parents: 4844 diff changeset	782 return x == static_cast<double> (static_cast<long> (x));
14027e0bafa4 [project @ 2004-07-22 19:58:06 by jwe] jwe parents: 4844 diff changeset	783 }
14027e0bafa4 [project @ 2004-07-22 19:58:06 by jwe] jwe parents: 4844 diff changeset	784
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	785 static inline Complex
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	786 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	787 {
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	788 Complex retval;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	789
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	790 if (alpha >= 0.0)
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	791 {
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	792 double yr = 0.0;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	793 double yi = 0.0;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	794
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	795 octave_idx_type nz;
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	796
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	797 double zr = z.real ();
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	798 double zi = z.imag ();
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	799
4506 3c82fc8f822c [project @ 2003-09-10 13:56:57 by jwe] jwe parents: 4497 diff changeset	800 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	801
3c82fc8f822c [project @ 2003-09-10 13:56:57 by jwe] jwe parents: 4497 diff changeset	802 if (kode != 2)
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	803 {
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11574 diff changeset	804 double expz = exp (std::abs (zi));
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	805 yr *= expz;
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	806 yi *= expz;
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	807 }
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	808
4490 1aed172ab84a [project @ 2003-08-28 19:03:06 by jwe] jwe parents: 4180 diff changeset	809 if (zi == 0.0 && zr >= 0.0)
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	810 yi = 0.0;
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	811
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	812 retval = bessel_return_value (Complex (yr, yi), ierr);
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	813 }
4911 14027e0bafa4 [project @ 2004-07-22 19:58:06 by jwe] jwe parents: 4844 diff changeset	814 else if (is_integer_value (alpha))
14027e0bafa4 [project @ 2004-07-22 19:58:06 by jwe] jwe parents: 4844 diff changeset	815 {
14027e0bafa4 [project @ 2004-07-22 19:58:06 by jwe] jwe parents: 4844 diff changeset	816 // 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	817 alpha = -alpha;
14027e0bafa4 [project @ 2004-07-22 19:58:06 by jwe] jwe parents: 4844 diff changeset	818 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	819 if ((static_cast <long> (alpha)) & 1)
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	820 tmp = - tmp;
4911 14027e0bafa4 [project @ 2004-07-22 19:58:06 by jwe] jwe parents: 4844 diff changeset	821 retval = bessel_return_value (tmp, ierr);
14027e0bafa4 [project @ 2004-07-22 19:58:06 by jwe] jwe parents: 4844 diff changeset	822 }
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	823 else
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	824 {
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	825 alpha = -alpha;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	826
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	827 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	828
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	829 if (ierr == 0 \|\| ierr == 3)
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	830 {
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	831 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	832
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	833 retval = bessel_return_value (tmp, ierr);
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	834 }
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	835 else
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	836 retval = Complex (octave_NaN, octave_NaN);
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	837 }
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	838
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	839 return retval;
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	840 }
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	841
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	842 static inline Complex
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	843 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	844 {
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	845 Complex retval;
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	846
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	847 if (alpha >= 0.0)
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	848 {
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	849 double yr = 0.0;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	850 double yi = 0.0;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	851
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	852 octave_idx_type nz;
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	853
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	854 double wr, wi;
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	855
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	856 double zr = z.real ();
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	857 double zi = z.imag ();
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	858
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	859 ierr = 0;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	860
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	861 if (zr == 0.0 && zi == 0.0)
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	862 {
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	863 yr = -octave_Inf;
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	864 yi = 0.0;
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	865 }
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	866 else
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	867 {
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	868 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	869 &wr, &wi, ierr);
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	870
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	871 if (kode != 2)
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	872 {
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	873 double expz = exp (std::abs (zi));
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	874 yr *= expz;
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	875 yi *= expz;
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	876 }
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	877
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	878 if (zi == 0.0 && zr >= 0.0)
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	879 yi = 0.0;
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	880 }
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	881
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	882 return bessel_return_value (Complex (yr, yi), ierr);
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	883 }
4911 14027e0bafa4 [project @ 2004-07-22 19:58:06 by jwe] jwe parents: 4844 diff changeset	884 else if (is_integer_value (alpha - 0.5))
14027e0bafa4 [project @ 2004-07-22 19:58:06 by jwe] jwe parents: 4844 diff changeset	885 {
14027e0bafa4 [project @ 2004-07-22 19:58:06 by jwe] jwe parents: 4844 diff changeset	886 // 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	887 alpha = -alpha;
14027e0bafa4 [project @ 2004-07-22 19:58:06 by jwe] jwe parents: 4844 diff changeset	888 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	889 if ((static_cast <long> (alpha - 0.5)) & 1)
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	890 tmp = - tmp;
4911 14027e0bafa4 [project @ 2004-07-22 19:58:06 by jwe] jwe parents: 4844 diff changeset	891 retval = bessel_return_value (tmp, ierr);
14027e0bafa4 [project @ 2004-07-22 19:58:06 by jwe] jwe parents: 4844 diff changeset	892 }
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	893 else
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	894 {
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	895 alpha = -alpha;
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	896
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	897 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	898
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	899 if (ierr == 0 \|\| ierr == 3)
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	900 {
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	901 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	902
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	903 retval = bessel_return_value (tmp, ierr);
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	904 }
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	905 else
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	906 retval = Complex (octave_NaN, octave_NaN);
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	907 }
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	908
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	909 return retval;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	910 }
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	911
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	912 static inline Complex
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	913 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	914 {
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	915 Complex retval;
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	916
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	917 if (alpha >= 0.0)
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	918 {
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	919 double yr = 0.0;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	920 double yi = 0.0;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	921
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	922 octave_idx_type nz;
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	923
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	924 double zr = z.real ();
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	925 double zi = z.imag ();
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	926
4506 3c82fc8f822c [project @ 2003-09-10 13:56:57 by jwe] jwe parents: 4497 diff changeset	927 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	928
3c82fc8f822c [project @ 2003-09-10 13:56:57 by jwe] jwe parents: 4497 diff changeset	929 if (kode != 2)
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	930 {
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	931 double expz = exp (std::abs (zr));
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	932 yr *= expz;
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	933 yi *= expz;
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	934 }
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	935
4490 1aed172ab84a [project @ 2003-08-28 19:03:06 by jwe] jwe parents: 4180 diff changeset	936 if (zi == 0.0 && zr >= 0.0)
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	937 yi = 0.0;
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	938
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	939 retval = bessel_return_value (Complex (yr, yi), ierr);
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	940 }
14196 35ce1eab7400 besseli: use special case for negative integer orders John W. Eaton <jwe@octave.org> parents: 14138 diff changeset	941 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	942 {
35ce1eab7400 besseli: use special case for negative integer orders John W. Eaton <jwe@octave.org> parents: 14138 diff changeset	943 // 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	944 alpha = -alpha;
35ce1eab7400 besseli: use special case for negative integer orders John W. Eaton <jwe@octave.org> parents: 14138 diff changeset	945 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	946 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	947 }
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	948 else
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	949 {
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	950 alpha = -alpha;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	951
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	952 Complex tmp = zbesi (z, alpha, kode, ierr);
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	953
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	954 if (ierr == 0 \|\| ierr == 3)
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	955 {
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	956 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	957 * zbesk (z, alpha, kode, ierr);
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11574 diff changeset	958
12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11574 diff changeset	959 if (kode == 2)
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	960 {
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	961 // 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	962 tmp2 *= exp (-z - std::abs (z.real ()));
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	963 }
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11574 diff changeset	964
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	965 tmp += tmp2;
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	966
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	967 retval = bessel_return_value (tmp, ierr);
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	968 }
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	969 else
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	970 retval = Complex (octave_NaN, octave_NaN);
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	971 }
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	972
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	973 return retval;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	974 }
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 static inline Complex
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	977 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	978 {
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	979 Complex retval;
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 (alpha >= 0.0)
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	982 {
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	983 double yr = 0.0;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	984 double yi = 0.0;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	985
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	986 octave_idx_type nz;
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	987
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	988 double zr = z.real ();
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	989 double zi = z.imag ();
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	990
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	991 ierr = 0;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	992
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	993 if (zr == 0.0 && zi == 0.0)
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	994 {
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	995 yr = octave_Inf;
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	996 yi = 0.0;
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	997 }
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	998 else
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	999 {
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1000 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	1001
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1002 if (kode != 2)
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1003 {
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1004 Complex expz = exp (-z);
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1005
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1006 double rexpz = real (expz);
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1007 double iexpz = imag (expz);
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1008
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1009 double tmp = yrrexpz - yiiexpz;
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1010
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1011 yi = yriexpz + yirexpz;
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1012 yr = tmp;
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1013 }
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1014
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1015 if (zi == 0.0 && zr >= 0.0)
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1016 yi = 0.0;
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1017 }
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1018
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1019 retval = bessel_return_value (Complex (yr, yi), ierr);
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1020 }
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1021 else
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1022 {
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1023 Complex tmp = zbesk (z, -alpha, kode, ierr);
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1024
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1025 retval = bessel_return_value (tmp, ierr);
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1026 }
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	1027
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	1028 return retval;
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	1029 }
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	1030
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1031 static inline Complex
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	1032 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	1033 {
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1034 Complex retval;
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	1035
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1036 if (alpha >= 0.0)
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	1037 {
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1038 double yr = 0.0;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1039 double yi = 0.0;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1040
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	1041 octave_idx_type nz;
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1042
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1043 double zr = z.real ();
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1044 double zi = z.imag ();
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	1045
4506 3c82fc8f822c [project @ 2003-09-10 13:56:57 by jwe] jwe parents: 4497 diff changeset	1046 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	1047
3c82fc8f822c [project @ 2003-09-10 13:56:57 by jwe] jwe parents: 4497 diff changeset	1048 if (kode != 2)
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1049 {
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1050 Complex expz = exp (Complex (0.0, 1.0) * z);
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1051
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1052 double rexpz = real (expz);
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1053 double iexpz = imag (expz);
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1054
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1055 double tmp = yrrexpz - yiiexpz;
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1056
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1057 yi = yriexpz + yirexpz;
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1058 yr = tmp;
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1059 }
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	1060
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1061 retval = bessel_return_value (Complex (yr, yi), ierr);
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1062 }
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1063 else
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1064 {
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1065 alpha = -alpha;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1066
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1067 static const Complex eye = Complex (0.0, 1.0);
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	1068
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1069 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	1070
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1071 retval = bessel_return_value (tmp, ierr);
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1072 }
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	1073
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1074 return retval;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1075 }
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 static inline Complex
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	1078 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	1079 {
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1080 Complex retval;
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	1081
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1082 if (alpha >= 0.0)
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1083 {
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1084 double yr = 0.0;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1085 double yi = 0.0;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1086
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	1087 octave_idx_type nz;
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	1088
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1089 double zr = z.real ();
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1090 double zi = z.imag ();
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	1091
4506 3c82fc8f822c [project @ 2003-09-10 13:56:57 by jwe] jwe parents: 4497 diff changeset	1092 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	1093
3c82fc8f822c [project @ 2003-09-10 13:56:57 by jwe] jwe parents: 4497 diff changeset	1094 if (kode != 2)
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1095 {
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1096 Complex expz = exp (-Complex (0.0, 1.0) * z);
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1097
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1098 double rexpz = real (expz);
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1099 double iexpz = imag (expz);
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1100
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1101 double tmp = yrrexpz - yiiexpz;
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1102
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1103 yi = yriexpz + yirexpz;
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1104 yr = tmp;
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1105 }
3220 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 retval = bessel_return_value (Complex (yr, yi), ierr);
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	1108 }
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	1109 else
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1110 {
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1111 alpha = -alpha;
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 const Complex eye = Complex (0.0, 1.0);
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1114
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1115 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	1116
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1117 retval = bessel_return_value (tmp, ierr);
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
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1120 return retval;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1121 }
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1122
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1123 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	1124
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1125 static inline Complex
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1126 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	1127 bool scaled, octave_idx_type& ierr)
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1128 {
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1129 Complex retval;
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 retval = f (x, alpha, (scaled ? 2 : 1), ierr);
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1132
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1133 return retval;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1134 }
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1135
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1136 static inline ComplexMatrix
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1137 do_bessel (dptr f, const char *, double alpha, const ComplexMatrix& x,
10352 a3635bc1ea19 remove Array2 Jaroslav Hajek <highegg@gmail.com> parents: 10314 diff changeset	1138 bool scaled, Array<octave_idx_type>& ierr)
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1139 {
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	1140 octave_idx_type nr = x.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	1141 octave_idx_type nc = x.cols ();
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1142
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1143 ComplexMatrix retval (nr, nc);
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1144
11574 a83bad07f7e3 attempt better backward compatibility for Array resize functions John W. Eaton <jwe@octave.org> parents: 11523 diff changeset	1145 ierr.resize (dim_vector (nr, nc));
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1146
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	1147 for (octave_idx_type j = 0; j < nc; j++)
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	1148 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	1149 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	1150
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1151 return retval;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1152 }
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1153
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1154 static inline ComplexMatrix
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1155 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	1156 bool scaled, Array<octave_idx_type>& ierr)
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1157 {
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	1158 octave_idx_type nr = alpha.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	1159 octave_idx_type nc = alpha.cols ();
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1160
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1161 ComplexMatrix retval (nr, nc);
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1162
11574 a83bad07f7e3 attempt better backward compatibility for Array resize functions John W. Eaton <jwe@octave.org> parents: 11523 diff changeset	1163 ierr.resize (dim_vector (nr, nc));
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1164
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	1165 for (octave_idx_type j = 0; j < nc; j++)
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	1166 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	1167 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	1168
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	1169 return retval;
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	1170 }
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	1171
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1172 static inline ComplexMatrix
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1173 do_bessel (dptr f, const char *fn, const Matrix& alpha,
10352 a3635bc1ea19 remove Array2 Jaroslav Hajek <highegg@gmail.com> parents: 10314 diff changeset	1174 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	1175 {
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1176 ComplexMatrix retval;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1177
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	1178 octave_idx_type x_nr = x.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	1179 octave_idx_type x_nc = x.cols ();
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 octave_idx_type alpha_nr = alpha.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	1182 octave_idx_type alpha_nc = alpha.cols ();
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1183
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1184 if (x_nr == alpha_nr && x_nc == alpha_nc)
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1185 {
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	1186 octave_idx_type nr = x_nr;
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	1187 octave_idx_type nc = x_nc;
3220 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 retval.resize (nr, nc);
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1190
11574 a83bad07f7e3 attempt better backward compatibility for Array resize functions John W. Eaton <jwe@octave.org> parents: 11523 diff changeset	1191 ierr.resize (dim_vector (nr, nc));
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1192
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	1193 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	1194 for (octave_idx_type i = 0; i < nr; i++)
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1195 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	1196 }
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1197 else
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1198 (*current_liboctave_error_handler)
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1199 ("%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	1200
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1201 return retval;
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	1202 }
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	1203
4844 9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1204 static inline ComplexNDArray
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1205 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	1206 bool scaled, Array<octave_idx_type>& ierr)
4844 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 dim_vector dv = x.dims ();
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	1209 octave_idx_type nel = dv.numel ();
4844 9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1210 ComplexNDArray retval (dv);
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 ierr.resize (dv);
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1213
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	1214 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	1215 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	1216
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1217 return retval;
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1218 }
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1219
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1220 static inline ComplexNDArray
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1221 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	1222 bool scaled, Array<octave_idx_type>& ierr)
4844 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 dim_vector dv = alpha.dims ();
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	1225 octave_idx_type nel = dv.numel ();
4844 9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1226 ComplexNDArray retval (dv);
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 ierr.resize (dv);
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1229
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	1230 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	1231 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	1232
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1233 return retval;
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
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1236 static inline ComplexNDArray
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1237 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	1238 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	1239 {
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1240 dim_vector dv = x.dims ();
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1241 ComplexNDArray retval;
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1242
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1243 if (dv == alpha.dims ())
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1244 {
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	1245 octave_idx_type nel = dv.numel ();
4844 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 retval.resize (dv);
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1248 ierr.resize (dv);
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1249
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	1250 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	1251 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	1252 }
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1253 else
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1254 (*current_liboctave_error_handler)
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1255 ("%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	1256
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1257 return retval;
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1258 }
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1259
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1260 static inline ComplexMatrix
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1261 do_bessel (dptr f, const char *, const RowVector& alpha,
10352 a3635bc1ea19 remove Array2 Jaroslav Hajek <highegg@gmail.com> parents: 10314 diff changeset	1262 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	1263 {
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	1264 octave_idx_type nr = x.length ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	1265 octave_idx_type nc = alpha.length ();
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1266
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1267 ComplexMatrix retval (nr, nc);
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	1268
11574 a83bad07f7e3 attempt better backward compatibility for Array resize functions John W. Eaton <jwe@octave.org> parents: 11523 diff changeset	1269 ierr.resize (dim_vector (nr, nc));
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1270
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	1271 for (octave_idx_type j = 0; j < nc; j++)
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	1272 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	1273 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	1274
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1275 return retval;
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	1276 }
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	1277
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1278 #define SS_BESSEL(name, fcn) \
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1279 Complex \
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	1280 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	1281 { \
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1282 return do_bessel (fcn, #name, alpha, x, scaled, ierr); \
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1283 }
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1284
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1285 #define SM_BESSEL(name, fcn) \
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1286 ComplexMatrix \
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1287 name (double alpha, const ComplexMatrix& x, bool scaled, \
10352 a3635bc1ea19 remove Array2 Jaroslav Hajek <highegg@gmail.com> parents: 10314 diff changeset	1288 Array<octave_idx_type>& ierr) \
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1289 { \
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1290 return do_bessel (fcn, #name, alpha, x, scaled, ierr); \
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1291 }
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1292
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1293 #define MS_BESSEL(name, fcn) \
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1294 ComplexMatrix \
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1295 name (const Matrix& alpha, const Complex& x, bool scaled, \
10352 a3635bc1ea19 remove Array2 Jaroslav Hajek <highegg@gmail.com> parents: 10314 diff changeset	1296 Array<octave_idx_type>& ierr) \
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1297 { \
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1298 return do_bessel (fcn, #name, alpha, x, scaled, ierr); \
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1299 }
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1300
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1301 #define MM_BESSEL(name, fcn) \
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1302 ComplexMatrix \
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1303 name (const Matrix& alpha, const ComplexMatrix& x, bool scaled, \
10352 a3635bc1ea19 remove Array2 Jaroslav Hajek <highegg@gmail.com> parents: 10314 diff changeset	1304 Array<octave_idx_type>& ierr) \
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1305 { \
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1306 return do_bessel (fcn, #name, alpha, x, scaled, ierr); \
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1307 }
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1308
4844 9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1309 #define SN_BESSEL(name, fcn) \
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1310 ComplexNDArray \
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1311 name (double alpha, const ComplexNDArray& x, bool scaled, \
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1312 Array<octave_idx_type>& ierr) \
4844 9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1313 { \
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1314 return do_bessel (fcn, #name, alpha, x, scaled, ierr); \
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1315 }
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1316
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1317 #define NS_BESSEL(name, fcn) \
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1318 ComplexNDArray \
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1319 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	1320 Array<octave_idx_type>& ierr) \
4844 9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1321 { \
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1322 return do_bessel (fcn, #name, alpha, x, scaled, ierr); \
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1323 }
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1324
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1325 #define NN_BESSEL(name, fcn) \
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1326 ComplexNDArray \
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1327 name (const NDArray& alpha, const ComplexNDArray& x, bool scaled, \
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1328 Array<octave_idx_type>& ierr) \
4844 9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1329 { \
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1330 return do_bessel (fcn, #name, alpha, x, scaled, ierr); \
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1331 }
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1332
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1333 #define RC_BESSEL(name, fcn) \
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1334 ComplexMatrix \
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1335 name (const RowVector& alpha, const ComplexColumnVector& x, bool scaled, \
10352 a3635bc1ea19 remove Array2 Jaroslav Hajek <highegg@gmail.com> parents: 10314 diff changeset	1336 Array<octave_idx_type>& ierr) \
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1337 { \
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1338 return do_bessel (fcn, #name, alpha, x, scaled, ierr); \
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1339 }
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1340
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1341 #define ALL_BESSEL(name, fcn) \
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1342 SS_BESSEL (name, fcn) \
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1343 SM_BESSEL (name, fcn) \
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1344 MS_BESSEL (name, fcn) \
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1345 MM_BESSEL (name, fcn) \
4844 9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1346 SN_BESSEL (name, fcn) \
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1347 NS_BESSEL (name, fcn) \
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1348 NN_BESSEL (name, fcn) \
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1349 RC_BESSEL (name, fcn)
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1350
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1351 ALL_BESSEL (besselj, zbesj)
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1352 ALL_BESSEL (bessely, zbesy)
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1353 ALL_BESSEL (besseli, zbesi)
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1354 ALL_BESSEL (besselk, zbesk)
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1355 ALL_BESSEL (besselh1, zbesh1)
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1356 ALL_BESSEL (besselh2, zbesh2)
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1357
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1358 #undef ALL_BESSEL
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1359 #undef SS_BESSEL
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1360 #undef SM_BESSEL
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1361 #undef MS_BESSEL
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1362 #undef MM_BESSEL
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1363 #undef SN_BESSEL
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1364 #undef NS_BESSEL
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1365 #undef NN_BESSEL
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1366 #undef RC_BESSEL
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 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	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 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	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 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	1376
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1377 static inline FloatComplex
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1378 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	1379
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1380 static inline FloatComplex
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1381 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	1382
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1383 static inline FloatComplex
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1384 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	1385
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1386 static inline FloatComplex
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1387 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	1388 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1389 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	1390 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	1391
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1392 FloatComplex retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1393
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1394 switch (ierr)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1395 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1396 case 0:
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1397 case 3:
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1398 retval = val;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1399 break;
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 case 2:
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1402 retval = inf_val;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1403 break;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1404
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1405 default:
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1406 retval = nan_val;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1407 break;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1408 }
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 return 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
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1413 static inline bool
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1414 is_integer_value (float x)
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 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	1417 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1418
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1419 static inline FloatComplex
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1420 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	1421 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1422 FloatComplex retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1423
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1424 if (alpha >= 0.0)
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 FloatComplex y = 0.0;
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1427
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1428 octave_idx_type nz;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1429
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	1430 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	1431
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1432 if (kode != 2)
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1433 {
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1434 float expz = exp (std::abs (imag (z)));
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1435 y *= expz;
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1436 }
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1437
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	1438 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	1439 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	1440
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	1441 retval = bessel_return_value (y, ierr);
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1442 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1443 else if (is_integer_value (alpha))
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1444 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1445 // 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	1446 alpha = -alpha;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1447 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	1448 if ((static_cast <long> (alpha)) & 1)
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1449 tmp = - tmp;
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1450 retval = bessel_return_value (tmp, ierr);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1451 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1452 else
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1453 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1454 alpha = -alpha;
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 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	1457
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1458 if (ierr == 0 \|\| ierr == 3)
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1459 {
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1460 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	1461
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1462 retval = bessel_return_value (tmp, ierr);
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1463 }
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1464 else
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1465 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	1466 }
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 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1469 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1470
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1471 static inline FloatComplex
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1472 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	1473 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1474 FloatComplex retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1475
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1476 if (alpha >= 0.0)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1477 {
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	1478 FloatComplex y = 0.0;
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1479
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1480 octave_idx_type nz;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1481
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	1482 FloatComplex w;
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1483
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1484 ierr = 0;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1485
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	1486 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	1487 {
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1488 y = FloatComplex (-octave_Float_Inf, 0.0);
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1489 }
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1490 else
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1491 {
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1492 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	1493
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1494 if (kode != 2)
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1495 {
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1496 float expz = exp (std::abs (imag (z)));
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1497 y *= expz;
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1498 }
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1499
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1500 if (imag (z) == 0.0 && real (z) >= 0.0)
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1501 y = FloatComplex (y.real (), 0.0);
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1502 }
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1503
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	1504 return bessel_return_value (y, ierr);
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1505 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1506 else if (is_integer_value (alpha - 0.5))
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1507 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1508 // 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	1509 alpha = -alpha;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1510 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	1511 if ((static_cast <long> (alpha - 0.5)) & 1)
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1512 tmp = - tmp;
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1513 retval = bessel_return_value (tmp, ierr);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1514 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1515 else
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1516 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1517 alpha = -alpha;
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 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	1520
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1521 if (ierr == 0 \|\| ierr == 3)
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1522 {
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1523 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	1524
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1525 retval = bessel_return_value (tmp, ierr);
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1526 }
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1527 else
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1528 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	1529 }
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 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1532 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1533
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1534 static inline FloatComplex
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1535 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	1536 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1537 FloatComplex retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1538
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1539 if (alpha >= 0.0)
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 FloatComplex y = 0.0;
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1542
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1543 octave_idx_type nz;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1544
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	1545 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	1546
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1547 if (kode != 2)
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1548 {
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1549 float expz = exp (std::abs (real (z)));
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1550 y *= expz;
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1551 }
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1552
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	1553 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	1554 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	1555
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	1556 retval = bessel_return_value (y, ierr);
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1557 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1558 else
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1559 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1560 alpha = -alpha;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1561
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1562 FloatComplex tmp = cbesi (z, alpha, kode, ierr);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1563
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1564 if (ierr == 0 \|\| ierr == 3)
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1565 {
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1566 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	1567 * cbesk (z, alpha, kode, ierr);
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11574 diff changeset	1568
12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11574 diff changeset	1569 if (kode == 2)
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1570 {
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1571 // 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	1572 tmp2 *= exp (-z - std::abs (z.real ()));
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1573 }
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1574
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1575 tmp += tmp2;
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1576
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1577 retval = bessel_return_value (tmp, ierr);
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1578 }
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1579 else
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1580 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	1581 }
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 return retval;
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
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1586 static inline FloatComplex
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1587 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	1588 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1589 FloatComplex retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1590
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1591 if (alpha >= 0.0)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1592 {
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	1593 FloatComplex y = 0.0;
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1594
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1595 octave_idx_type nz;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1596
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1597 ierr = 0;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1598
8279 b3734f1cb592 lo-specfun.cc: fix prototypes and calls to cbes{h,i,j,k,y} subroutines John W. Eaton <jwe@octave.org> parents: 8278 diff changeset	1599 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	1600 {
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1601 y = FloatComplex (octave_Float_Inf, 0.0);
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1602 }
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1603 else
10314 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 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	1606
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1607 if (kode != 2)
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1608 {
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1609 FloatComplex expz = exp (-z);
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1610
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1611 float rexpz = real (expz);
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1612 float iexpz = imag (expz);
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1613
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1614 float tmp_r = real (y) * rexpz - imag (y) * iexpz;
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1615 float tmp_i = real (y) * iexpz + imag (y) * rexpz;
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1616
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1617 y = FloatComplex (tmp_r, tmp_i);
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1618 }
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1619
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1620 if (imag (z) == 0.0 && real (z) >= 0.0)
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1621 y = FloatComplex (y.real (), 0.0);
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1622 }
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1623
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	1624 retval = bessel_return_value (y, ierr);
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1625 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1626 else
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1627 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1628 FloatComplex tmp = cbesk (z, -alpha, kode, ierr);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1629
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1630 retval = bessel_return_value (tmp, ierr);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1631 }
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 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1634 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1635
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1636 static inline FloatComplex
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1637 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	1638 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1639 FloatComplex retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1640
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1641 if (alpha >= 0.0)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1642 {
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	1643 FloatComplex y = 0.0;
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1644
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1645 octave_idx_type nz;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1646
8279 b3734f1cb592 lo-specfun.cc: fix prototypes and calls to cbes{h,i,j,k,y} subroutines John W. Eaton <jwe@octave.org> parents: 8278 diff changeset	1647 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	1648
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1649 if (kode != 2)
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1650 {
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1651 FloatComplex expz = exp (FloatComplex (0.0, 1.0) * z);
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1652
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1653 float rexpz = real (expz);
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1654 float iexpz = imag (expz);
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1655
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1656 float tmp_r = real (y) * rexpz - imag (y) * iexpz;
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1657 float tmp_i = real (y) * iexpz + imag (y) * rexpz;
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1658
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1659 y = FloatComplex (tmp_r, tmp_i);
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1660 }
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1661
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	1662 retval = bessel_return_value (y, ierr);
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1663 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1664 else
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 alpha = -alpha;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1667
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1668 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	1669
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1670 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	1671
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1672 retval = bessel_return_value (tmp, ierr);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1673 }
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 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1676 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1677
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1678 static inline FloatComplex
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1679 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	1680 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1681 FloatComplex retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1682
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1683 if (alpha >= 0.0)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1684 {
8279 b3734f1cb592 lo-specfun.cc: fix prototypes and calls to cbes{h,i,j,k,y} subroutines John W. Eaton <jwe@octave.org> parents: 8278 diff changeset	1685 FloatComplex y = 0.0;
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1686
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1687 octave_idx_type nz;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1688
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	1689 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	1690
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1691 if (kode != 2)
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1692 {
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1693 FloatComplex expz = exp (-FloatComplex (0.0, 1.0) * z);
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1694
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1695 float rexpz = real (expz);
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1696 float iexpz = imag (expz);
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1697
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1698 float tmp_r = real (y) * rexpz - imag (y) * iexpz;
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1699 float tmp_i = real (y) * iexpz + imag (y) * rexpz;
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1700
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1701 y = FloatComplex (tmp_r, tmp_i);
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1702 }
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1703
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	1704 retval = bessel_return_value (y, ierr);
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1705 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1706 else
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 alpha = -alpha;
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 const FloatComplex eye = FloatComplex (0.0, 1.0);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1711
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1712 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	1713
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1714 retval = bessel_return_value (tmp, ierr);
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
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1717 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1718 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1719
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1720 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	1721
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1722 static inline FloatComplex
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1723 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	1724 bool scaled, octave_idx_type& ierr)
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1725 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1726 FloatComplex retval;
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 retval = f (x, alpha, (scaled ? 2 : 1), ierr);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1729
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1730 return retval;
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
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1733 static inline FloatComplexMatrix
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1734 do_bessel (fptr f, const char *, float alpha, const FloatComplexMatrix& x,
10352 a3635bc1ea19 remove Array2 Jaroslav Hajek <highegg@gmail.com> parents: 10314 diff changeset	1735 bool scaled, Array<octave_idx_type>& ierr)
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1736 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1737 octave_idx_type nr = x.rows ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1738 octave_idx_type nc = x.cols ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1739
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1740 FloatComplexMatrix retval (nr, nc);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1741
11574 a83bad07f7e3 attempt better backward compatibility for Array resize functions John W. Eaton <jwe@octave.org> parents: 11523 diff changeset	1742 ierr.resize (dim_vector (nr, nc));
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1743
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1744 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	1745 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	1746 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	1747
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1748 return retval;
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
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1751 static inline FloatComplexMatrix
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1752 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	1753 bool scaled, Array<octave_idx_type>& ierr)
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1754 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1755 octave_idx_type nr = alpha.rows ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1756 octave_idx_type nc = alpha.cols ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1757
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1758 FloatComplexMatrix retval (nr, nc);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1759
11574 a83bad07f7e3 attempt better backward compatibility for Array resize functions John W. Eaton <jwe@octave.org> parents: 11523 diff changeset	1760 ierr.resize (dim_vector (nr, nc));
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1761
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1762 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	1763 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	1764 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	1765
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1766 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1767 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1768
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1769 static inline FloatComplexMatrix
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1770 do_bessel (fptr f, const char *fn, const FloatMatrix& alpha,
10352 a3635bc1ea19 remove Array2 Jaroslav Hajek <highegg@gmail.com> parents: 10314 diff changeset	1771 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	1772 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1773 FloatComplexMatrix retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1774
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1775 octave_idx_type x_nr = x.rows ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1776 octave_idx_type x_nc = x.cols ();
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 octave_idx_type alpha_nr = alpha.rows ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1779 octave_idx_type alpha_nc = alpha.cols ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1780
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1781 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	1782 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1783 octave_idx_type nr = x_nr;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1784 octave_idx_type nc = x_nc;
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 retval.resize (nr, nc);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1787
11574 a83bad07f7e3 attempt better backward compatibility for Array resize functions John W. Eaton <jwe@octave.org> parents: 11523 diff changeset	1788 ierr.resize (dim_vector (nr, nc));
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1789
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1790 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	1791 for (octave_idx_type i = 0; i < nr; i++)
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1792 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	1793 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1794 else
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1795 (*current_liboctave_error_handler)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1796 ("%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	1797
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1798 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1799 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1800
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1801 static inline FloatComplexNDArray
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1802 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	1803 bool scaled, Array<octave_idx_type>& ierr)
7789 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 dim_vector dv = x.dims ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1806 octave_idx_type nel = dv.numel ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1807 FloatComplexNDArray retval (dv);
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 ierr.resize (dv);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1810
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1811 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	1812 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	1813
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1814 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1815 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1816
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1817 static inline FloatComplexNDArray
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1818 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	1819 bool scaled, Array<octave_idx_type>& ierr)
7789 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 dim_vector dv = alpha.dims ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1822 octave_idx_type nel = dv.numel ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1823 FloatComplexNDArray retval (dv);
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 ierr.resize (dv);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1826
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1827 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	1828 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	1829
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1830 return retval;
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
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1833 static inline FloatComplexNDArray
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1834 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	1835 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	1836 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1837 dim_vector dv = x.dims ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1838 FloatComplexNDArray retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1839
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1840 if (dv == alpha.dims ())
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 octave_idx_type nel = dv.numel ();
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 retval.resize (dv);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1845 ierr.resize (dv);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1846
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1847 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	1848 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	1849 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1850 else
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1851 (*current_liboctave_error_handler)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1852 ("%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	1853
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1854 return retval;
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
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1857 static inline FloatComplexMatrix
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1858 do_bessel (fptr f, const char *, const FloatRowVector& alpha,
10352 a3635bc1ea19 remove Array2 Jaroslav Hajek <highegg@gmail.com> parents: 10314 diff changeset	1859 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	1860 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1861 octave_idx_type nr = x.length ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1862 octave_idx_type nc = alpha.length ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1863
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1864 FloatComplexMatrix retval (nr, nc);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1865
11574 a83bad07f7e3 attempt better backward compatibility for Array resize functions John W. Eaton <jwe@octave.org> parents: 11523 diff changeset	1866 ierr.resize (dim_vector (nr, nc));
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1867
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1868 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	1869 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	1870 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	1871
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1872 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1873 }
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 #define SS_BESSEL(name, fcn) \
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1876 FloatComplex \
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1877 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	1878 { \
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1879 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	1880 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1881
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1882 #define SM_BESSEL(name, fcn) \
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1883 FloatComplexMatrix \
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1884 name (float alpha, const FloatComplexMatrix& x, bool scaled, \
10352 a3635bc1ea19 remove Array2 Jaroslav Hajek <highegg@gmail.com> parents: 10314 diff changeset	1885 Array<octave_idx_type>& ierr) \
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1886 { \
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1887 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	1888 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1889
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1890 #define MS_BESSEL(name, fcn) \
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1891 FloatComplexMatrix \
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1892 name (const FloatMatrix& alpha, const FloatComplex& x, bool scaled, \
10352 a3635bc1ea19 remove Array2 Jaroslav Hajek <highegg@gmail.com> parents: 10314 diff changeset	1893 Array<octave_idx_type>& ierr) \
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1894 { \
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1895 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	1896 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1897
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1898 #define MM_BESSEL(name, fcn) \
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1899 FloatComplexMatrix \
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1900 name (const FloatMatrix& alpha, const FloatComplexMatrix& x, bool scaled, \
10352 a3635bc1ea19 remove Array2 Jaroslav Hajek <highegg@gmail.com> parents: 10314 diff changeset	1901 Array<octave_idx_type>& ierr) \
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1902 { \
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1903 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	1904 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1905
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1906 #define SN_BESSEL(name, fcn) \
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1907 FloatComplexNDArray \
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1908 name (float alpha, const FloatComplexNDArray& x, bool scaled, \
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1909 Array<octave_idx_type>& ierr) \
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1910 { \
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1911 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	1912 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1913
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1914 #define NS_BESSEL(name, fcn) \
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1915 FloatComplexNDArray \
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1916 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	1917 Array<octave_idx_type>& ierr) \
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1918 { \
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1919 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	1920 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1921
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1922 #define NN_BESSEL(name, fcn) \
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1923 FloatComplexNDArray \
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1924 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	1925 Array<octave_idx_type>& ierr) \
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1926 { \
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1927 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	1928 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1929
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1930 #define RC_BESSEL(name, fcn) \
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1931 FloatComplexMatrix \
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1932 name (const FloatRowVector& alpha, const FloatComplexColumnVector& x, bool scaled, \
10352 a3635bc1ea19 remove Array2 Jaroslav Hajek <highegg@gmail.com> parents: 10314 diff changeset	1933 Array<octave_idx_type>& ierr) \
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1934 { \
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1935 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	1936 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1937
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1938 #define ALL_BESSEL(name, fcn) \
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1939 SS_BESSEL (name, fcn) \
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1940 SM_BESSEL (name, fcn) \
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1941 MS_BESSEL (name, fcn) \
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1942 MM_BESSEL (name, fcn) \
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1943 SN_BESSEL (name, fcn) \
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1944 NS_BESSEL (name, fcn) \
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1945 NN_BESSEL (name, fcn) \
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1946 RC_BESSEL (name, fcn)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1947
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1948 ALL_BESSEL (besselj, cbesj)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1949 ALL_BESSEL (bessely, cbesy)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1950 ALL_BESSEL (besseli, cbesi)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1951 ALL_BESSEL (besselk, cbesk)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1952 ALL_BESSEL (besselh1, cbesh1)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1953 ALL_BESSEL (besselh2, cbesh2)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1954
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1955 #undef ALL_BESSEL
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1956 #undef SS_BESSEL
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1957 #undef SM_BESSEL
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1958 #undef MS_BESSEL
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1959 #undef MM_BESSEL
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1960 #undef SN_BESSEL
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1961 #undef NS_BESSEL
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1962 #undef NN_BESSEL
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1963 #undef RC_BESSEL
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1964
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1965 Complex
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	1966 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	1967 {
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1968 double ar = 0.0;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1969 double ai = 0.0;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1970
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	1971 octave_idx_type nz;
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1972
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1973 double zr = z.real ();
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1974 double zi = z.imag ();
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	1975
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	1976 octave_idx_type id = deriv ? 1 : 0;
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1977
4506 3c82fc8f822c [project @ 2003-09-10 13:56:57 by jwe] jwe parents: 4497 diff changeset	1978 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	1979
3c82fc8f822c [project @ 2003-09-10 13:56:57 by jwe] jwe parents: 4497 diff changeset	1980 if (! scaled)
3c82fc8f822c [project @ 2003-09-10 13:56:57 by jwe] jwe parents: 4497 diff changeset	1981 {
15018 3d8ace26c5b4 maint: Use Octave coding conventions for cuddled parentheses in liboctave/. Rik <rik@octave.org> parents: 14847 diff changeset	1982 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	1983
4506 3c82fc8f822c [project @ 2003-09-10 13:56:57 by jwe] jwe parents: 4497 diff changeset	1984 double rexpz = real (expz);
3c82fc8f822c [project @ 2003-09-10 13:56:57 by jwe] jwe parents: 4497 diff changeset	1985 double iexpz = imag (expz);
3c82fc8f822c [project @ 2003-09-10 13:56:57 by jwe] jwe parents: 4497 diff changeset	1986
3c82fc8f822c [project @ 2003-09-10 13:56:57 by jwe] jwe parents: 4497 diff changeset	1987 double tmp = arrexpz - aiiexpz;
3c82fc8f822c [project @ 2003-09-10 13:56:57 by jwe] jwe parents: 4497 diff changeset	1988
3c82fc8f822c [project @ 2003-09-10 13:56:57 by jwe] jwe parents: 4497 diff changeset	1989 ai = ariexpz + airexpz;
3c82fc8f822c [project @ 2003-09-10 13:56:57 by jwe] jwe parents: 4497 diff changeset	1990 ar = tmp;
3c82fc8f822c [project @ 2003-09-10 13:56:57 by jwe] jwe parents: 4497 diff changeset	1991 }
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1992
4490 1aed172ab84a [project @ 2003-08-28 19:03:06 by jwe] jwe parents: 4180 diff changeset	1993 if (zi == 0.0 && (! scaled \|\| zr >= 0.0))
3225 7aae2c3636a7 [project @ 1998-12-04 23:20:12 by jwe] jwe parents: 3220 diff changeset	1994 ai = 0.0;
7aae2c3636a7 [project @ 1998-12-04 23:20:12 by jwe] jwe parents: 3220 diff changeset	1995
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1996 return bessel_return_value (Complex (ar, ai), ierr);
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	1997 }
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	1998
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1999 Complex
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	2000 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	2001 {
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	2002 double ar = 0.0;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	2003 double ai = 0.0;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	2004
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	2005 double zr = z.real ();
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	2006 double zi = z.imag ();
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	2007
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	2008 octave_idx_type id = deriv ? 1 : 0;
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	2009
4506 3c82fc8f822c [project @ 2003-09-10 13:56:57 by jwe] jwe parents: 4497 diff changeset	2010 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	2011
3c82fc8f822c [project @ 2003-09-10 13:56:57 by jwe] jwe parents: 4497 diff changeset	2012 if (! scaled)
3c82fc8f822c [project @ 2003-09-10 13:56:57 by jwe] jwe parents: 4497 diff changeset	2013 {
3c82fc8f822c [project @ 2003-09-10 13:56:57 by jwe] jwe parents: 4497 diff changeset	2014 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	2015
4506 3c82fc8f822c [project @ 2003-09-10 13:56:57 by jwe] jwe parents: 4497 diff changeset	2016 double rexpz = real (expz);
3c82fc8f822c [project @ 2003-09-10 13:56:57 by jwe] jwe parents: 4497 diff changeset	2017 double iexpz = imag (expz);
3c82fc8f822c [project @ 2003-09-10 13:56:57 by jwe] jwe parents: 4497 diff changeset	2018
3c82fc8f822c [project @ 2003-09-10 13:56:57 by jwe] jwe parents: 4497 diff changeset	2019 double tmp = arrexpz - aiiexpz;
3c82fc8f822c [project @ 2003-09-10 13:56:57 by jwe] jwe parents: 4497 diff changeset	2020
3c82fc8f822c [project @ 2003-09-10 13:56:57 by jwe] jwe parents: 4497 diff changeset	2021 ai = ariexpz + airexpz;
3c82fc8f822c [project @ 2003-09-10 13:56:57 by jwe] jwe parents: 4497 diff changeset	2022 ar = tmp;
3c82fc8f822c [project @ 2003-09-10 13:56:57 by jwe] jwe parents: 4497 diff changeset	2023 }
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	2024
4490 1aed172ab84a [project @ 2003-08-28 19:03:06 by jwe] jwe parents: 4180 diff changeset	2025 if (zi == 0.0 && (! scaled \|\| zr >= 0.0))
3225 7aae2c3636a7 [project @ 1998-12-04 23:20:12 by jwe] jwe parents: 3220 diff changeset	2026 ai = 0.0;
7aae2c3636a7 [project @ 1998-12-04 23:20:12 by jwe] jwe parents: 3220 diff changeset	2027
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	2028 return bessel_return_value (Complex (ar, ai), ierr);
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2029 }
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2030
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	2031 ComplexMatrix
10352 a3635bc1ea19 remove Array2 Jaroslav Hajek <highegg@gmail.com> parents: 10314 diff changeset	2032 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	2033 {
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	2034 octave_idx_type nr = z.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	2035 octave_idx_type nc = z.cols ();
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	2036
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	2037 ComplexMatrix retval (nr, nc);
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	2038
11574 a83bad07f7e3 attempt better backward compatibility for Array resize functions John W. Eaton <jwe@octave.org> parents: 11523 diff changeset	2039 ierr.resize (dim_vector (nr, nc));
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	2040
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	2041 for (octave_idx_type j = 0; j < nc; j++)
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	2042 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	2043 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	2044
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	2045 return retval;
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2046 }
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2047
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	2048 ComplexMatrix
10352 a3635bc1ea19 remove Array2 Jaroslav Hajek <highegg@gmail.com> parents: 10314 diff changeset	2049 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	2050 {
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	2051 octave_idx_type nr = z.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	2052 octave_idx_type nc = z.cols ();
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	2053
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	2054 ComplexMatrix retval (nr, nc);
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	2055
11574 a83bad07f7e3 attempt better backward compatibility for Array resize functions John W. Eaton <jwe@octave.org> parents: 11523 diff changeset	2056 ierr.resize (dim_vector (nr, nc));
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	2057
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	2058 for (octave_idx_type j = 0; j < nc; j++)
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	2059 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	2060 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	2061
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	2062 return retval;
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2063 }
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2064
4844 9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2065 ComplexNDArray
9732 b4fdfee405b5 remove ArrayN<T> + fix nonhom. diag-scalar ops Jaroslav Hajek <highegg@gmail.com> parents: 8920 diff changeset	2066 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	2067 {
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2068 dim_vector dv = z.dims ();
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	2069 octave_idx_type nel = dv.numel ();
4844 9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2070 ComplexNDArray retval (dv);
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2071
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2072 ierr.resize (dv);
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2073
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	2074 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	2075 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	2076
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2077 return retval;
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2078 }
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 ComplexNDArray
9732 b4fdfee405b5 remove ArrayN<T> + fix nonhom. diag-scalar ops Jaroslav Hajek <highegg@gmail.com> parents: 8920 diff changeset	2081 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	2082 {
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2083 dim_vector dv = z.dims ();
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	2084 octave_idx_type nel = dv.numel ();
4844 9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2085 ComplexNDArray retval (dv);
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2086
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2087 ierr.resize (dv);
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2088
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	2089 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	2090 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	2091
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2092 return retval;
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2093 }
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2094
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2095 FloatComplex
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2096 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	2097 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2098 float ar = 0.0;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2099 float ai = 0.0;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2100
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2101 octave_idx_type nz;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2102
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2103 float zr = z.real ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2104 float zi = z.imag ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2105
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2106 octave_idx_type id = deriv ? 1 : 0;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2107
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2108 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	2109
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2110 if (! scaled)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2111 {
15018 3d8ace26c5b4 maint: Use Octave coding conventions for cuddled parentheses in liboctave/. Rik <rik@octave.org> parents: 14847 diff changeset	2112 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	2113
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2114 float rexpz = real (expz);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2115 float iexpz = imag (expz);
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 float tmp = arrexpz - aiiexpz;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2118
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2119 ai = ariexpz + airexpz;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2120 ar = tmp;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2121 }
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 if (zi == 0.0 && (! scaled \|\| zr >= 0.0))
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2124 ai = 0.0;
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 return bessel_return_value (FloatComplex (ar, ai), ierr);
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
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2129 FloatComplex
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2130 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	2131 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2132 float ar = 0.0;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2133 float ai = 0.0;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2134
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2135 float zr = z.real ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2136 float zi = z.imag ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2137
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2138 octave_idx_type id = deriv ? 1 : 0;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2139
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2140 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	2141
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2142 if (! scaled)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2143 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2144 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	2145
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2146 float rexpz = real (expz);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2147 float iexpz = imag (expz);
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 float tmp = arrexpz - aiiexpz;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2150
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2151 ai = ariexpz + airexpz;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2152 ar = tmp;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2153 }
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 if (zi == 0.0 && (! scaled \|\| zr >= 0.0))
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2156 ai = 0.0;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2157
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2158 return bessel_return_value (FloatComplex (ar, ai), ierr);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2159 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2160
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2161 FloatComplexMatrix
10352 a3635bc1ea19 remove Array2 Jaroslav Hajek <highegg@gmail.com> parents: 10314 diff changeset	2162 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	2163 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2164 octave_idx_type nr = z.rows ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2165 octave_idx_type nc = z.cols ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2166
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2167 FloatComplexMatrix retval (nr, nc);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2168
11574 a83bad07f7e3 attempt better backward compatibility for Array resize functions John W. Eaton <jwe@octave.org> parents: 11523 diff changeset	2169 ierr.resize (dim_vector (nr, nc));
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2170
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2171 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	2172 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	2173 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	2174
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2175 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2176 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2177
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2178 FloatComplexMatrix
10352 a3635bc1ea19 remove Array2 Jaroslav Hajek <highegg@gmail.com> parents: 10314 diff changeset	2179 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	2180 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2181 octave_idx_type nr = z.rows ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2182 octave_idx_type nc = z.cols ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2183
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2184 FloatComplexMatrix retval (nr, nc);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2185
11574 a83bad07f7e3 attempt better backward compatibility for Array resize functions John W. Eaton <jwe@octave.org> parents: 11523 diff changeset	2186 ierr.resize (dim_vector (nr, nc));
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2187
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2188 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	2189 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	2190 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	2191
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2192 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2193 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2194
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2195 FloatComplexNDArray
9732 b4fdfee405b5 remove ArrayN<T> + fix nonhom. diag-scalar ops Jaroslav Hajek <highegg@gmail.com> parents: 8920 diff changeset	2196 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	2197 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2198 dim_vector dv = z.dims ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2199 octave_idx_type nel = dv.numel ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2200 FloatComplexNDArray retval (dv);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2201
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2202 ierr.resize (dv);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2203
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2204 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	2205 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	2206
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2207 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2208 }
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 FloatComplexNDArray
9732 b4fdfee405b5 remove ArrayN<T> + fix nonhom. diag-scalar ops Jaroslav Hajek <highegg@gmail.com> parents: 8920 diff changeset	2211 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	2212 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2213 dim_vector dv = z.dims ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2214 octave_idx_type nel = dv.numel ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2215 FloatComplexNDArray retval (dv);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2216
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2217 ierr.resize (dv);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2218
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2219 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	2220 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	2221
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2222 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2223 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2224
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2225 static void
4844 9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2226 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	2227 const dim_vector& d3)
4844 9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2228 {
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2229 std::string d1_str = d1.str ();
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2230 std::string d2_str = d2.str ();
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2231 std::string d3_str = d3.str ();
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2232
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2233 (*current_liboctave_error_handler)
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2234 ("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	2235 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	2236 }
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2237
14816 0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	2238 static void
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	2239 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	2240 const dim_vector& d3)
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	2241 {
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	2242 std::string d1_str = d1.str ();
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	2243 std::string d2_str = d2.str ();
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	2244 std::string d3_str = d3.str ();
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	2245
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	2246 (*current_liboctave_error_handler)
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	2247 ("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	2248 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	2249 }
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	2250
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2251 double
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2252 betainc (double x, double a, double b)
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2253 {
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2254 double retval;
5700 67118c88cee7 [project @ 2006-03-21 17:31:45 by jwe] jwe parents: 5307 diff changeset	2255 F77_XFCN (xdbetai, XDBETAI, (x, a, b, retval));
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2256 return retval;
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2257 }
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2258
14815 95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2259 Array<double>
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2260 betainc (double x, double a, const Array<double>& b)
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2261 {
14815 95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2262 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	2263 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	2264
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2265 Array<double> retval (dv);
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2266
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2267 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	2268
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2269 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	2270 *pretval++ = betainc (x, a, b(i));
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2271
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2272 return retval;
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2273 }
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2274
14815 95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2275 Array<double>
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2276 betainc (double x, const Array<double>& a, double b)
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2277 {
14815 95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2278 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	2279 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	2280
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2281 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	2282
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2283 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	2284
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2285 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	2286 *pretval++ = betainc (x, a(i), b);
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2287
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2288 return retval;
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2289 }
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: 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 Array<double>
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2292 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	2293 {
14815 95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2294 Array<double> retval;
4844 9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2295 dim_vector dv = a.dims ();
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2296
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2297 if (dv == b.dims ())
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2298 {
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2299 octave_idx_type nel = dv.numel ();
4844 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 retval.resize (dv);
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2302
14815 95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2303 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	2304
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2305 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	2306 *pretval++ = betainc (x, a(i), b(i));
4844 9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2307 }
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2308 else
10258 e317791645c4 64-bit fixes John W. Eaton <jwe@octave.org> parents: 10158 diff changeset	2309 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	2310
4844 9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2311 return retval;
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2312 }
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2313
14815 95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2314 Array<double>
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2315 betainc (const Array<double>& x, double a, double b)
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2316 {
14815 95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2317 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	2318 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	2319
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2320 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	2321
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2322 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	2323
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2324 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	2325 *pretval++ = betainc (x(i), a, b);
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2326
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2327 return retval;
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2328 }
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: 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 Array<double>
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2331 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	2332 {
14815 95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2333 Array<double> retval;
4844 9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2334 dim_vector dv = x.dims ();
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2335
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2336 if (dv == b.dims ())
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2337 {
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2338 octave_idx_type nel = dv.numel ();
4844 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 retval.resize (dv);
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2341
14815 95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2342 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	2343
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2344 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	2345 *pretval++ = betainc (x(i), a, b(i));
4844 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 else
10258 e317791645c4 64-bit fixes John W. Eaton <jwe@octave.org> parents: 10158 diff changeset	2348 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	2349
4844 9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2350 return retval;
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2351 }
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 Array<double>
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2354 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	2355 {
14815 95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2356 Array<double> retval;
4844 9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2357 dim_vector dv = x.dims ();
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2358
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2359 if (dv == a.dims ())
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2360 {
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2361 octave_idx_type nel = dv.numel ();
4844 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 retval.resize (dv);
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2364
14815 95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2365 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	2366
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2367 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	2368 *pretval++ = betainc (x(i), a(i), b);
4844 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 else
10258 e317791645c4 64-bit fixes John W. Eaton <jwe@octave.org> parents: 10158 diff changeset	2371 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	2372
4844 9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2373 return retval;
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2374 }
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 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 Array<double>
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2377 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	2378 {
14815 95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2379 Array<double> retval;
4844 9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2380 dim_vector dv = x.dims ();
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2381
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2382 if (dv == a.dims () && dv == b.dims ())
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2383 {
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2384 octave_idx_type nel = dv.numel ();
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 retval.resize (dv);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2387
14815 95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2388 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	2389
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2390 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	2391 *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	2392 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2393 else
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2394 gripe_betainc_nonconformant (dv, a.dims (), b.dims ());
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2395
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2396 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2397 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2398
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2399 float
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2400 betainc (float x, float a, float b)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2401 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2402 float retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2403 F77_XFCN (xbetai, XBETAI, (x, a, b, retval));
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2404 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2405 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2406
14815 95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2407 Array<float>
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2408 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	2409 {
14815 95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2410 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	2411 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	2412
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2413 Array<float> retval (dv);
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2414
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2415 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	2416
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2417 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	2418 *pretval++ = betainc (x, a, b(i));
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2419
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2420 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2421 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2422
14815 95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2423 Array<float>
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2424 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	2425 {
14815 95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2426 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	2427 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	2428
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2429 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	2430
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2431 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	2432
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2433 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	2434 *pretval++ = betainc (x, a(i), b);
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2435
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2436 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2437 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 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 Array<float>
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2440 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	2441 {
14815 95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2442 Array<float> retval;
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2443 dim_vector dv = a.dims ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2444
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2445 if (dv == b.dims ())
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2446 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2447 octave_idx_type nel = dv.numel ();
4844 9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2448
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2449 retval.resize (dv);
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2450
14815 95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2451 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	2452
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2453 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	2454 *pretval++ = betainc (x, a(i), b(i));
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2455 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2456 else
10258 e317791645c4 64-bit fixes John W. Eaton <jwe@octave.org> parents: 10158 diff changeset	2457 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	2458
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2459 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2460 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2461
14815 95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2462 Array<float>
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2463 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	2464 {
14815 95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2465 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	2466 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	2467
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2468 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	2469
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2470 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	2471
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2472 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	2473 *pretval++ = betainc (x(i), a, b);
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2474
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2475 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2476 }
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 Array<float>
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2479 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	2480 {
14815 95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2481 Array<float> retval;
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2482 dim_vector dv = x.dims ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2483
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2484 if (dv == b.dims ())
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2485 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2486 octave_idx_type nel = dv.numel ();
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 retval.resize (dv);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2489
14815 95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2490 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	2491
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2492 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	2493 *pretval++ = betainc (x(i), a, b(i));
7789 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 else
10258 e317791645c4 64-bit fixes John W. Eaton <jwe@octave.org> parents: 10158 diff changeset	2496 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	2497
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2498 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2499 }
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 Array<float>
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2502 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	2503 {
14815 95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2504 Array<float> retval;
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2505 dim_vector dv = x.dims ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2506
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2507 if (dv == a.dims ())
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2508 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2509 octave_idx_type nel = dv.numel ();
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 retval.resize (dv);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2512
14815 95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2513 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	2514
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2515 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	2516 *pretval++ = betainc (x(i), a(i), b);
7789 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 else
10258 e317791645c4 64-bit fixes John W. Eaton <jwe@octave.org> parents: 10158 diff changeset	2519 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	2520
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2521 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2522 }
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 Array<float>
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2525 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	2526 {
14815 95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2527 Array<float> retval;
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2528 dim_vector dv = x.dims ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2529
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2530 if (dv == a.dims () && dv == b.dims ())
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2531 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2532 octave_idx_type nel = dv.numel ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2533
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2534 retval.resize (dv);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2535
14815 95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2536 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	2537
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2538 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	2539 *pretval++ = betainc (x(i), a(i), b(i));
4844 9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2540 }
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2541 else
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2542 gripe_betainc_nonconformant (dv, a.dims (), b.dims ());
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2543
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2544 return retval;
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2545 }
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2546
5775 ace8d8d26933 [project @ 2006-04-24 19:13:06 by jwe] jwe parents: 5701 diff changeset	2547 // FIXME -- there is still room for improvement here...
3164 45490c020e47 [project @ 1998-04-14 20:56:48 by jwe] jwe parents: 3162 diff changeset	2548
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2549 double
4004 ca854fb51a88 [project @ 2002-07-25 06:31:33 by jwe] jwe parents: 3887 diff changeset	2550 gammainc (double x, double a, bool& err)
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2551 {
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2552 double retval;
3164 45490c020e47 [project @ 1998-04-14 20:56:48 by jwe] jwe parents: 3162 diff changeset	2553
4004 ca854fb51a88 [project @ 2002-07-25 06:31:33 by jwe] jwe parents: 3887 diff changeset	2554 err = false;
3164 45490c020e47 [project @ 1998-04-14 20:56:48 by jwe] jwe parents: 3162 diff changeset	2555
4004 ca854fb51a88 [project @ 2002-07-25 06:31:33 by jwe] jwe parents: 3887 diff changeset	2556 if (a < 0.0 \|\| x < 0.0)
ca854fb51a88 [project @ 2002-07-25 06:31:33 by jwe] jwe parents: 3887 diff changeset	2557 {
ca854fb51a88 [project @ 2002-07-25 06:31:33 by jwe] jwe parents: 3887 diff changeset	2558 (*current_liboctave_error_handler)
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2559 ("gammainc: A and X must be non-negative");
4004 ca854fb51a88 [project @ 2002-07-25 06:31:33 by jwe] jwe parents: 3887 diff changeset	2560
ca854fb51a88 [project @ 2002-07-25 06:31:33 by jwe] jwe parents: 3887 diff changeset	2561 err = true;
ca854fb51a88 [project @ 2002-07-25 06:31:33 by jwe] jwe parents: 3887 diff changeset	2562 }
ca854fb51a88 [project @ 2002-07-25 06:31:33 by jwe] jwe parents: 3887 diff changeset	2563 else
5278 fe23ec6763b7 [project @ 2005-04-12 21:04:39 by jwe] jwe parents: 5275 diff changeset	2564 F77_XFCN (xgammainc, XGAMMAINC, (a, x, retval));
3164 45490c020e47 [project @ 1998-04-14 20:56:48 by jwe] jwe parents: 3162 diff changeset	2565
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2566 return retval;
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2567 }
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2568
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2569 Matrix
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2570 gammainc (double x, const Matrix& a)
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2571 {
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	2572 octave_idx_type nr = a.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	2573 octave_idx_type nc = a.cols ();
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2574
4004 ca854fb51a88 [project @ 2002-07-25 06:31:33 by jwe] jwe parents: 3887 diff changeset	2575 Matrix result (nr, nc);
ca854fb51a88 [project @ 2002-07-25 06:31:33 by jwe] jwe parents: 3887 diff changeset	2576 Matrix retval;
ca854fb51a88 [project @ 2002-07-25 06:31:33 by jwe] jwe parents: 3887 diff changeset	2577
ca854fb51a88 [project @ 2002-07-25 06:31:33 by jwe] jwe parents: 3887 diff changeset	2578 bool err;
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2579
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	2580 for (octave_idx_type j = 0; j < nc; j++)
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	2581 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	2582 {
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2583 result(i,j) = gammainc (x, a(i,j), err);
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2584
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2585 if (err)
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2586 goto done;
4004 ca854fb51a88 [project @ 2002-07-25 06:31:33 by jwe] jwe parents: 3887 diff changeset	2587 }
ca854fb51a88 [project @ 2002-07-25 06:31:33 by jwe] jwe parents: 3887 diff changeset	2588
ca854fb51a88 [project @ 2002-07-25 06:31:33 by jwe] jwe parents: 3887 diff changeset	2589 retval = result;
ca854fb51a88 [project @ 2002-07-25 06:31:33 by jwe] jwe parents: 3887 diff changeset	2590
ca854fb51a88 [project @ 2002-07-25 06:31:33 by jwe] jwe parents: 3887 diff changeset	2591 done:
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2592
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2593 return retval;
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2594 }
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2595
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2596 Matrix
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2597 gammainc (const Matrix& x, double a)
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2598 {
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	2599 octave_idx_type nr = x.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	2600 octave_idx_type nc = x.cols ();
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2601
4004 ca854fb51a88 [project @ 2002-07-25 06:31:33 by jwe] jwe parents: 3887 diff changeset	2602 Matrix result (nr, nc);
ca854fb51a88 [project @ 2002-07-25 06:31:33 by jwe] jwe parents: 3887 diff changeset	2603 Matrix retval;
ca854fb51a88 [project @ 2002-07-25 06:31:33 by jwe] jwe parents: 3887 diff changeset	2604
ca854fb51a88 [project @ 2002-07-25 06:31:33 by jwe] jwe parents: 3887 diff changeset	2605 bool err;
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2606
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	2607 for (octave_idx_type j = 0; j < nc; j++)
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	2608 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	2609 {
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2610 result(i,j) = gammainc (x(i,j), a, err);
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2611
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2612 if (err)
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2613 goto done;
4004 ca854fb51a88 [project @ 2002-07-25 06:31:33 by jwe] jwe parents: 3887 diff changeset	2614 }
ca854fb51a88 [project @ 2002-07-25 06:31:33 by jwe] jwe parents: 3887 diff changeset	2615
ca854fb51a88 [project @ 2002-07-25 06:31:33 by jwe] jwe parents: 3887 diff changeset	2616 retval = result;
ca854fb51a88 [project @ 2002-07-25 06:31:33 by jwe] jwe parents: 3887 diff changeset	2617
ca854fb51a88 [project @ 2002-07-25 06:31:33 by jwe] jwe parents: 3887 diff changeset	2618 done:
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2619
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2620 return retval;
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2621 }
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 Matrix
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2624 gammainc (const Matrix& x, const Matrix& a)
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2625 {
4004 ca854fb51a88 [project @ 2002-07-25 06:31:33 by jwe] jwe parents: 3887 diff changeset	2626 Matrix result;
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2627 Matrix retval;
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 octave_idx_type nr = x.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	2630 octave_idx_type nc = x.cols ();
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2631
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	2632 octave_idx_type a_nr = a.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	2633 octave_idx_type a_nc = a.cols ();
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2634
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2635 if (nr == a_nr && nc == a_nc)
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2636 {
4004 ca854fb51a88 [project @ 2002-07-25 06:31:33 by jwe] jwe parents: 3887 diff changeset	2637 result.resize (nr, nc);
ca854fb51a88 [project @ 2002-07-25 06:31:33 by jwe] jwe parents: 3887 diff changeset	2638
ca854fb51a88 [project @ 2002-07-25 06:31:33 by jwe] jwe parents: 3887 diff changeset	2639 bool err;
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2640
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	2641 for (octave_idx_type j = 0; j < nc; j++)
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2642 for (octave_idx_type i = 0; i < nr; i++)
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2643 {
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2644 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	2645
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2646 if (err)
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2647 goto done;
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2648 }
4004 ca854fb51a88 [project @ 2002-07-25 06:31:33 by jwe] jwe parents: 3887 diff changeset	2649
ca854fb51a88 [project @ 2002-07-25 06:31:33 by jwe] jwe parents: 3887 diff changeset	2650 retval = result;
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2651 }
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2652 else
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2653 (*current_liboctave_error_handler)
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2654 ("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	2655 nr, nc, a_nr, a_nc);
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2656
4004 ca854fb51a88 [project @ 2002-07-25 06:31:33 by jwe] jwe parents: 3887 diff changeset	2657 done:
ca854fb51a88 [project @ 2002-07-25 06:31:33 by jwe] jwe parents: 3887 diff changeset	2658
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2659 return retval;
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2660 }
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2661
4844 9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2662 NDArray
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2663 gammainc (double x, const NDArray& a)
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 dim_vector dv = a.dims ();
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2666 octave_idx_type nel = dv.numel ();
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 NDArray retval;
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2669 NDArray result (dv);
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 bool err;
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2672
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2673 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	2674 {
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2675 result (i) = gammainc (x, a(i), err);
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2676
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2677 if (err)
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2678 goto done;
4844 9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2679 }
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2680
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2681 retval = result;
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2682
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2683 done:
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 return retval;
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2686 }
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2687
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2688 NDArray
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2689 gammainc (const NDArray& x, double a)
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 dim_vector dv = x.dims ();
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2692 octave_idx_type nel = dv.numel ();
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 NDArray retval;
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2695 NDArray result (dv);
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 bool err;
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2698
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2699 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	2700 {
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2701 result (i) = gammainc (x(i), a, err);
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2702
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2703 if (err)
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2704 goto done;
4844 9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2705 }
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2706
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2707 retval = result;
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2708
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2709 done:
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 return retval;
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
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2714 NDArray
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2715 gammainc (const NDArray& x, const NDArray& a)
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2716 {
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2717 dim_vector dv = x.dims ();
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2718 octave_idx_type nel = dv.numel ();
4844 9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2719
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2720 NDArray retval;
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2721 NDArray result;
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2722
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2723 if (dv == a.dims ())
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2724 {
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2725 result.resize (dv);
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2726
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2727 bool err;
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2728
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2729 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	2730 {
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2731 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	2732
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2733 if (err)
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2734 goto done;
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2735 }
7789 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 retval = result;
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 else
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 std::string x_str = dv.str ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2742 std::string a_str = a.dims ().str ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2743
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2744 (*current_liboctave_error_handler)
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2745 ("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	2746 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	2747 }
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 done:
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 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2752 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2753
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2754 float
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2755 gammainc (float x, float a, bool& err)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2756 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2757 float 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 err = false;
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 if (a < 0.0 \|\| x < 0.0)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2762 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2763 (*current_liboctave_error_handler)
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2764 ("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	2765
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2766 err = true;
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 else
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2769 F77_XFCN (xsgammainc, XSGAMMAINC, (a, x, 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 return retval;
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
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2774 FloatMatrix
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2775 gammainc (float x, const FloatMatrix& a)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2776 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2777 octave_idx_type nr = a.rows ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2778 octave_idx_type nc = a.cols ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2779
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2780 FloatMatrix result (nr, nc);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2781 FloatMatrix retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2782
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2783 bool err;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2784
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2785 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	2786 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	2787 {
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2788 result(i,j) = gammainc (x, a(i,j), err);
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2789
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2790 if (err)
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2791 goto done;
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2792 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2793
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2794 retval = result;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2795
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2796 done:
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 return retval;
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
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2801 FloatMatrix
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2802 gammainc (const FloatMatrix& x, float a)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2803 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2804 octave_idx_type nr = x.rows ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2805 octave_idx_type nc = x.cols ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2806
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2807 FloatMatrix result (nr, nc);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2808 FloatMatrix retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2809
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2810 bool err;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2811
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2812 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	2813 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	2814 {
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2815 result(i,j) = gammainc (x(i,j), a, err);
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2816
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2817 if (err)
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2818 goto done;
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2819 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2820
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2821 retval = result;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2822
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2823 done:
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 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2826 }
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 FloatMatrix
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2829 gammainc (const FloatMatrix& x, const FloatMatrix& a)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2830 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2831 FloatMatrix result;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2832 FloatMatrix retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2833
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2834 octave_idx_type nr = x.rows ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2835 octave_idx_type nc = x.cols ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2836
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2837 octave_idx_type a_nr = a.rows ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2838 octave_idx_type a_nc = a.cols ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2839
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2840 if (nr == a_nr && nc == a_nc)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2841 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2842 result.resize (nr, nc);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2843
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2844 bool err;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2845
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2846 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	2847 for (octave_idx_type i = 0; i < nr; i++)
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2848 {
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2849 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	2850
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2851 if (err)
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2852 goto done;
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2853 }
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2854
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2855 retval = result;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2856 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2857 else
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2858 (*current_liboctave_error_handler)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2859 ("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	2860 nr, nc, a_nr, a_nc);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2861
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2862 done:
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 return retval;
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
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2867 FloatNDArray
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2868 gammainc (float x, const FloatNDArray& a)
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 dim_vector dv = a.dims ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2871 octave_idx_type nel = dv.numel ();
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 FloatNDArray retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2874 FloatNDArray result (dv);
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 bool err;
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 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	2879 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2880 result (i) = gammainc (x, a(i), err);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2881
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2882 if (err)
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2883 goto done;
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2884 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2885
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2886 retval = result;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2887
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2888 done:
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 return retval;
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
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2893 FloatNDArray
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2894 gammainc (const FloatNDArray& x, float a)
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 dim_vector dv = x.dims ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2897 octave_idx_type nel = dv.numel ();
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 FloatNDArray retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2900 FloatNDArray result (dv);
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 bool err;
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 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	2905 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2906 result (i) = gammainc (x(i), a, err);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2907
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2908 if (err)
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2909 goto done;
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2910 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2911
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2912 retval = result;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2913
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2914 done:
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 return retval;
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
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2919 FloatNDArray
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2920 gammainc (const FloatNDArray& x, const FloatNDArray& a)
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 dim_vector dv = x.dims ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2923 octave_idx_type nel = dv.numel ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2924
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2925 FloatNDArray retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2926 FloatNDArray result;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2927
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2928 if (dv == a.dims ())
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2929 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2930 result.resize (dv);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2931
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2932 bool err;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2933
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2934 for (octave_idx_type i = 0; i < nel; i++)
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2935 {
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2936 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	2937
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2938 if (err)
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2939 goto done;
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2940 }
4844 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 retval = result;
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 else
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 std::string x_str = dv.str ();
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2947 std::string a_str = a.dims ().str ();
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2948
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2949 (*current_liboctave_error_handler)
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2950 ("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	2951 x_str.c_str (), a_str.c_str ());
4844 9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2952 }
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2953
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2954 done:
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2955
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2956 return retval;
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2957 }
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2958
9812 f80c566bc751 improve unary mapper system Jaroslav Hajek <highegg@gmail.com> parents: 9732 diff changeset	2959
f80c566bc751 improve unary mapper system Jaroslav Hajek <highegg@gmail.com> parents: 9732 diff changeset	2960 Complex rc_log1p (double x)
f80c566bc751 improve unary mapper system Jaroslav Hajek <highegg@gmail.com> parents: 9732 diff changeset	2961 {
f80c566bc751 improve unary mapper system Jaroslav Hajek <highegg@gmail.com> parents: 9732 diff changeset	2962 const double pi = 3.14159265358979323846;
f80c566bc751 improve unary mapper system Jaroslav Hajek <highegg@gmail.com> parents: 9732 diff changeset	2963 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	2964 }
f80c566bc751 improve unary mapper system Jaroslav Hajek <highegg@gmail.com> parents: 9732 diff changeset	2965
f80c566bc751 improve unary mapper system Jaroslav Hajek <highegg@gmail.com> parents: 9732 diff changeset	2966 FloatComplex rc_log1p (float x)
f80c566bc751 improve unary mapper system Jaroslav Hajek <highegg@gmail.com> parents: 9732 diff changeset	2967 {
f80c566bc751 improve unary mapper system Jaroslav Hajek <highegg@gmail.com> parents: 9732 diff changeset	2968 const float pi = 3.14159265358979323846f;
f80c566bc751 improve unary mapper system Jaroslav Hajek <highegg@gmail.com> parents: 9732 diff changeset	2969 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	2970 }
f80c566bc751 improve unary mapper system Jaroslav Hajek <highegg@gmail.com> parents: 9732 diff changeset	2971
9838 55219e65c7cd fix typo Jaroslav Hajek <highegg@gmail.com> parents: 9837 diff changeset	2972 // This algorithm is due to P. J. Acklam.
9837 7c70084b125e improve comment for 9835 Jaroslav Hajek <highegg@gmail.com> parents: 9835 diff changeset	2973 // See http://home.online.no/~pjacklam/notes/invnorm/
7c70084b125e improve comment for 9835 Jaroslav Hajek <highegg@gmail.com> parents: 9835 diff changeset	2974 // 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	2975 // 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	2976 // 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	2977 // faster evaluation.
1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	2978
1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	2979 static double do_erfinv (double x, bool refine)
1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	2980 {
1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	2981 // Coefficients of rational approximation.
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11574 diff changeset	2982 static const double a[] =
9835 1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	2983 { -2.806989788730439e+01, 1.562324844726888e+02,
1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	2984 -1.951109208597547e+02, 9.783370457507161e+01,
1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	2985 -2.168328665628878e+01, 1.772453852905383e+00 };
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11574 diff changeset	2986 static const double b[] =
9835 1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	2987 { -5.447609879822406e+01, 1.615858368580409e+02,
1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	2988 -1.556989798598866e+02, 6.680131188771972e+01,
1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	2989 -1.328068155288572e+01 };
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11574 diff changeset	2990 static const double c[] =
9835 1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	2991 { -5.504751339936943e-03, -2.279687217114118e-01,
1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	2992 -1.697592457770869e+00, -1.802933168781950e+00,
1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	2993 3.093354679843505e+00, 2.077595676404383e+00 };
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11574 diff changeset	2994 static const double d[] =
9835 1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	2995 { 7.784695709041462e-03, 3.224671290700398e-01,
1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	2996 2.445134137142996e+00, 3.754408661907416e+00 };
1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	2997
14781 e190f6da40f6 maint: Correct comments and use Octave spacing conventions for erfinv. Rik <octave@nomad.inbox5.com> parents: 14771 diff changeset	2998 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	2999 static const double pbreak = 0.95150;
1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	3000 double ax = fabs (x), y;
1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	3001
1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	3002 // Select case.
1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	3003 if (ax <= pbreak)
1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	3004 {
1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	3005 // Middle region.
1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	3006 const double q = 0.5 * x, r = q*q;
1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	3007 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	3008 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	3009 y = yn / yd;
1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	3010 }
1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	3011 else if (ax < 1.0)
1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	3012 {
1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	3013 // Tail region.
1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	3014 const double q = sqrt (-2log (0.5(1-ax)));
1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	3015 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	3016 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	3017 y = yn / yd * signum (-x);
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 else if (ax == 1.0)
1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	3020 return octave_Inf * signum (x);
1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	3021 else
1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	3022 return octave_NaN;
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 if (refine)
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 // 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	3027 double u = (erf (y) - x) * spi2 * exp (y*y);
9835 1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	3028 y -= u / (1 + y*u);
1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	3029 }
1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	3030
1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	3031 return y;
1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	3032 }
1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	3033
1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	3034 double erfinv (double x)
1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	3035 {
1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	3036 return do_erfinv (x, true);
1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	3037 }
1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	3038
1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	3039 float erfinv (float x)
1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	3040 {
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11574 diff changeset	3041 return do_erfinv (x, false);
9835 1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	3042 }
10391 59e34bcdff13 implement built-in erfcx Jaroslav Hajek <highegg@gmail.com> parents: 10352 diff changeset	3043
14786 e70a0c9cada6 Pre-compute bounds (constant folding) for erfcinv function. Rik <octave@nomad.inbox5.com> parents: 14781 diff changeset	3044 // 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	3045 // 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	3046 // 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	3047
14770 cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3048 static double do_erfcinv (double x, bool refine)
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3049 {
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3050 // Coefficients of rational approximation.
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3051 static const double a[] =
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3052 { -2.806989788730439e+01, 1.562324844726888e+02,
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3053 -1.951109208597547e+02, 9.783370457507161e+01,
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3054 -2.168328665628878e+01, 1.772453852905383e+00 };
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3055 static const double b[] =
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3056 { -5.447609879822406e+01, 1.615858368580409e+02,
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3057 -1.556989798598866e+02, 6.680131188771972e+01,
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3058 -1.328068155288572e+01 };
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3059 static const double c[] =
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3060 { -5.504751339936943e-03, -2.279687217114118e-01,
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3061 -1.697592457770869e+00, -1.802933168781950e+00,
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3062 3.093354679843505e+00, 2.077595676404383e+00 };
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3063 static const double d[] =
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3064 { 7.784695709041462e-03, 3.224671290700398e-01,
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3065 2.445134137142996e+00, 3.754408661907416e+00 };
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3066
14771 10ed11922f19 maint: code cleanup for new erfcinv function. Rik <octave@nomad.inbox5.com> parents: 14770 diff changeset	3067 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	3068 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	3069 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	3070 double y;
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3071
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3072 // Select case.
14786 e70a0c9cada6 Pre-compute bounds (constant folding) for erfcinv function. Rik <octave@nomad.inbox5.com> parents: 14781 diff changeset	3073 if (x >= pbreak_lo && x <= pbreak_hi)
14770 cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3074 {
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3075 // Middle region.
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3076 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	3077 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	3078 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	3079 y = yn / yd;
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3080 }
14786 e70a0c9cada6 Pre-compute bounds (constant folding) for erfcinv function. Rik <octave@nomad.inbox5.com> parents: 14781 diff changeset	3081 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	3082 {
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3083 // Tail region.
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3084 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	3085 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	3086 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	3087 y = yn / yd;
14786 e70a0c9cada6 Pre-compute bounds (constant folding) for erfcinv function. Rik <octave@nomad.inbox5.com> parents: 14781 diff changeset	3088 if (x < pbreak_lo)
e70a0c9cada6 Pre-compute bounds (constant folding) for erfcinv function. Rik <octave@nomad.inbox5.com> parents: 14781 diff changeset	3089 y = -y;
14770 cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3090 }
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3091 else if (x == 0.0)
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3092 return octave_Inf;
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3093 else if (x == 2.0)
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3094 return -octave_Inf;
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3095 else
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3096 return octave_NaN;
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 if (refine)
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 // 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	3101 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	3102 y -= u / (1 + y*u);
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3103 }
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 return y;
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3106 }
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3107
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3108 double erfcinv (double x)
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3109 {
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3110 return do_erfcinv (x, true);
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3111 }
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3112
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3113 float erfcinv (float x)
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3114 {
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3115 return do_erfcinv (x, false);
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3116 }
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3117
14816 0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3118 //
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3119 // Incomplete Beta function ratio
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3120 //
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3121 // Algorithm based on the one by John Burkardt.
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3122 // 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	3123 //
14817 67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3124 // 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	3125 //
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3126 // Reference:
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3127 //
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3128 // KL Majumder, GP Bhattacharjee,
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3129 // Algorithm AS 63:
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3130 // The incomplete Beta Integral,
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3131 // Applied Statistics,
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3132 // Volume 22, Number 3, 1973, pages 409-411.
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3133 //
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3134 double
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3135 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	3136 {
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3137 double acu = 0.1E-14, ai, cx;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3138 bool indx;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3139 int ns;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3140 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	3141
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3142 value = x;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3143 err = false;
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 // Check the input arguments.
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 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	3148 {
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3149 err = true;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3150 return value;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3151 }
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 // Special cases.
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 if (x == 0.0 \|\| x == 1.0)
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3156 {
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3157 return value;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3158 }
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3159
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3160 // Change tail if necessary and determine S.
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3161
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3162 psq = p + q;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3163 cx = 1.0 - x;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3164
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3165 if (p < psq * x)
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3166 {
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3167 xx = cx;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3168 cx = x;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3169 pp = q;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3170 qq = p;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3171 indx = true;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3172 }
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3173 else
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3174 {
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3175 xx = x;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3176 pp = p;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3177 qq = q;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3178 indx = false;
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
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3181 term = 1.0;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3182 ai = 1.0;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3183 value = 1.0;
15217 d2220c3def3f avoid C-style cast warning John W. Eaton <jwe@octave.org> parents: 15084 diff changeset	3184 ns = static_cast<int> (qq + cx * psq);
14816 0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3185
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3186 // Use the Soper reduction formula.
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3187
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3188 rx = xx / cx;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3189 temp = qq - ai;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3190 if (ns == 0)
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3191 {
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3192 rx = xx;
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
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3195 for ( ; ; )
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3196 {
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3197 term = term * temp * rx / (pp + ai);
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3198 value = value + term;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3199 temp = fabs (term);
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 if (temp <= acu && temp <= acu * value)
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3202 {
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3203 value = value * exp (pp * log (xx)
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3204 + (qq - 1.0) * log (cx) - beta) / pp;
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 if (indx)
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3207 {
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3208 value = 1.0 - value;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3209 }
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3210 break;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3211 }
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3212
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3213 ai = ai + 1.0;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3214 ns = ns - 1;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3215
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3216 if (0 <= ns)
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 temp = qq - ai;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3219 if (ns == 0)
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 rx = xx;
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 }
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3224 else
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3225 {
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3226 temp = psq;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3227 psq = psq + 1.0;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3228 }
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3229 }
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3230
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3231 return value;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3232 }
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3233
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3234 //
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3235 // Inverse of the incomplete Beta function
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3236 //
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3237 // Algorithm based on the one by John Burkardt.
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3238 // 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	3239 //
14817 67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3240 // 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	3241 //
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3242 // Reference:
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3243 //
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3244 // GW Cran, KJ Martin, GE Thomas,
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3245 // Remark AS R19 and Algorithm AS 109:
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3246 // 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	3247 // 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	3248 // Applied Statistics,
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3249 // Volume 26, Number 1, 1977, pages 111-114.
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3250 //
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3251 double
15217 d2220c3def3f avoid C-style cast warning John W. Eaton <jwe@octave.org> parents: 15084 diff changeset	3252 betaincinv (double y, double p, double q)
d2220c3def3f avoid C-style cast warning John W. Eaton <jwe@octave.org> parents: 15084 diff changeset	3253 {
14816 0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3254 double a, acu, adj, fpu, g, h;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3255 int iex;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3256 bool indx;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3257 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	3258
14847 bcf86cc2f1ee Use xlgamma instead of lgamma in betaincinv for portability across systems. Rik <octave@nomad.inbox5.com> parents: 14846 diff changeset	3259 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	3260 bool err = false;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3261 fpu = pow (10.0, sae);
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3262 value = y;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3263
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3264 // Test for admissibility of parameters.
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 (p <= 0.0 \|\| q <= 0.0)
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 (*current_liboctave_error_handler)
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3269 ("betaincinv: wrong parameters");
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
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3272 if (y < 0.0 \|\| 1.0 < y)
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3273 {
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3274 (*current_liboctave_error_handler)
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3275 ("betaincinv: wrong parameter Y");
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3276 }
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3277
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3278 if (y == 0.0 \|\| y == 1.0)
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 return value;
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
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3283 // Change tail if necessary.
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3284
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3285 if (0.5 < y)
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 a = 1.0 - y;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3288 pp = q;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3289 qq = p;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3290 indx = true;
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 else
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 a = y;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3295 pp = p;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3296 qq = q;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3297 indx = false;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3298 }
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3299
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3300 // Calculate the initial approximation.
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3301
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3302 r = sqrt (- log (a * a));
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3303
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3304 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	3305
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3306 if (1.0 < pp && 1.0 < qq)
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3307 {
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3308 r = (ycur * ycur - 3.0) / 6.0;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3309 s = 1.0 / (pp + pp - 1.0);
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3310 t = 1.0 / (qq + qq - 1.0);
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3311 h = 2.0 / (s + t);
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3312 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	3313 value = pp / (pp + qq * exp (w + w));
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 else
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 r = qq + qq;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3318 t = 1.0 / (9.0 * qq);
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3319 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	3320
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3321 if (t <= 0.0)
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 - exp ((log ((1.0 - a) * qq) + beta) / qq);
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 else
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 t = (4.0 * pp + r - 2.0) / t;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3328
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3329 if (t <= 1.0)
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 value = exp ((log (a * pp) + beta) / pp);
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3332 }
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3333 else
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3334 {
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3335 value = 1.0 - 2.0 / (t + 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 }
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
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3340 // 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	3341 // using the function BETAIN.
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3342
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3343 r = 1.0 - pp;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3344 t = 1.0 - qq;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3345 yprev = 0.0;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3346 sq = 1.0;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3347 prev = 1.0;
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 if (value < 0.0001)
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 value = 0.0001;
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
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3354 if (0.9999 < value)
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3355 {
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3356 value = 0.9999;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3357 }
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3358
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3359 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	3360
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3361 acu = pow (10.0, iex);
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 for ( ; ; )
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 ycur = betain (value, pp, qq, beta, err);
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 if (err)
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3368 {
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3369 return value;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3370 }
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3371
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3372 xin = value;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3373 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	3374
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3375 if (ycur * yprev <= 0.0)
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 prev = std::max (sq, fpu);
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
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3380 g = 1.0;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3381
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3382 for ( ; ; )
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3383 {
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3384 for ( ; ; )
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 adj = g * ycur;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3387 sq = adj * adj;
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 (sq < prev)
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 tx = value - adj;
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 if (0.0 <= tx && tx <= 1.0)
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 break;
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 g = g / 3.0;
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
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3401 if (prev <= acu)
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3402 {
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3403 if (indx)
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3404 {
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3405 value = 1.0 - value;
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 return value;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3408 }
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3409
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3410 if (ycur * ycur <= acu)
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 if (indx)
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 value = 1.0 - value;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3415 }
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3416 return value;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3417 }
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 if (tx != 0.0 && tx != 1.0)
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3420 {
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3421 break;
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 g = g / 3.0;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3425 }
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3426
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3427 if (tx == value)
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 break;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3430 }
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3431
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3432 value = tx;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3433 yprev = ycur;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3434 }
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3435
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3436 if (indx)
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3437 {
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3438 value = 1.0 - value;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3439 }
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3440
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3441 return value;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3442 }
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3443
14817 67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3444 Array<double>
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3445 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	3446 {
14817 67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3447 dim_vector dv = b.dims ();
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3448 octave_idx_type nel = dv.numel ();
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3449
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3450 Array<double> retval (dv);
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3451
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3452 double *pretval = retval.fortran_vec ();
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 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	3455 *pretval++ = betaincinv (x, a, b(i));
14816 0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3456
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3457 return retval;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3458 }
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3459
14817 67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3460 Array<double>
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3461 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	3462 {
14817 67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3463 dim_vector dv = a.dims ();
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3464 octave_idx_type nel = dv.numel ();
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3465
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3466 Array<double> retval (dv);
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3467
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3468 double *pretval = retval.fortran_vec ();
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 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	3471 *pretval++ = betaincinv (x, a(i), b);
14816 0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3472
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3473 return retval;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3474 }
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3475
14817 67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3476 Array<double>
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3477 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	3478 {
14817 67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3479 Array<double> retval;
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3480 dim_vector dv = a.dims ();
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3481
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3482 if (dv == b.dims ())
14816 0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3483 {
14817 67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3484 octave_idx_type nel = dv.numel ();
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3485
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3486 retval.resize (dv);
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3487
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3488 double *pretval = retval.fortran_vec ();
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3489
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3490 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	3491 *pretval++ = betaincinv (x, a(i), b(i));
14816 0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3492 }
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3493 else
14817 67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3494 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	3495
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3496 return retval;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3497 }
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3498
14817 67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3499 Array<double>
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3500 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	3501 {
14817 67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3502 dim_vector dv = x.dims ();
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3503 octave_idx_type nel = dv.numel ();
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3504
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3505 Array<double> retval (dv);
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3506
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3507 double *pretval = retval.fortran_vec ();
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 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	3510 *pretval++ = betaincinv (x(i), a, b);
14816 0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3511
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3512 return retval;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3513 }
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3514
14817 67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3515 Array<double>
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3516 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	3517 {
14817 67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3518 Array<double> retval;
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3519 dim_vector dv = x.dims ();
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3520
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3521 if (dv == b.dims ())
14816 0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3522 {
14817 67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3523 octave_idx_type nel = dv.numel ();
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3524
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3525 retval.resize (dv);
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3526
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3527 double *pretval = retval.fortran_vec ();
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3528
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3529 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	3530 *pretval++ = betaincinv (x(i), a, b(i));
14816 0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3531 }
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3532 else
14817 67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3533 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	3534
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3535 return retval;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3536 }
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3537
14817 67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3538 Array<double>
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3539 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	3540 {
14817 67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3541 Array<double> retval;
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3542 dim_vector dv = x.dims ();
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3543
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3544 if (dv == a.dims ())
14816 0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3545 {
14817 67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3546 octave_idx_type nel = dv.numel ();
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3547
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3548 retval.resize (dv);
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3549
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3550 double *pretval = retval.fortran_vec ();
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3551
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3552 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	3553 *pretval++ = betaincinv (x(i), a(i), b);
14816 0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3554 }
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3555 else
14817 67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3556 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	3557
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3558 return retval;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3559 }
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3560
14817 67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3561 Array<double>
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3562 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	3563 {
14817 67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3564 Array<double> retval;
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3565 dim_vector dv = x.dims ();
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3566
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3567 if (dv == a.dims () && dv == b.dims ())
14816 0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3568 {
14817 67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3569 octave_idx_type nel = dv.numel ();
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3570
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3571 retval.resize (dv);
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3572
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3573 double *pretval = retval.fortran_vec ();
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3574
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3575 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	3576 *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	3577 }
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3578 else
14817 67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3579 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	3580
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3581 return retval;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3582 }
17502 578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3583
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3584 void
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3585 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	3586 {
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3587 static const int Nmax = 16;
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3588 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	3589 int n, Nn, ii;
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3590
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3591 if (m < 0 \|\| m > 1)
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3592 {
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3593 (*current_liboctave_warning_handler)
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3594 ("ellipj: expecting 0 <= M <= 1");
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3595 sn = cn = dn = lo_ieee_nan_value ();
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3596 return;
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
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3599 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	3600 if (m < sqrt_eps)
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3601 {
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3602 // 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	3603 si_u = sin (u);
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3604 co_u = cos (u);
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3605 t = 0.25m(u - si_u*co_u);
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3606 sn = si_u - t * co_u;
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3607 cn = co_u + t * si_u;
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3608 dn = 1 - 0.5msi_u*si_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 if ((1 - m) < sqrt_eps)
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 // 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	3613 m1 = 1 - m;
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3614 si_u = sinh (u);
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3615 co_u = cosh (u);
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3616 ta_u = tanh (u);
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3617 se_u = 1/co_u;
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3618 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	3619 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	3620 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	3621 }
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3622 else
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 // Arithmetic-Geometric Mean (AGM) algorithm
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3625 // ( Abramowitz and Stegun, Section 16.4 )
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3626 a[0] = 1;
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3627 b = sqrt (1 - m);
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3628 c[0] = sqrt (m);
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3629 for (n = 1; n < Nmax; ++n)
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3630 {
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3631 a[n] = (a[n - 1] + b)/2;
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3632 c[n] = (a[n - 1] - b)/2;
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3633 b = sqrt (a[n - 1]*b);
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3634 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	3635 }
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3636 if (n >= Nmax - 1)
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3637 {
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3638 err = 1;
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3639 return;
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 Nn = n;
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3642 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	3643 phi = iia[Nn]u;
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3644 for (n = Nn; n > 0; --n)
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 t = phi;
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3647 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	3648 }
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3649 sn = sin (phi);
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3650 cn = cos (phi);
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3651 dn = cn/cos (t - phi);
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3652 }
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3653 }
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3654
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3655 void
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3656 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	3657 {
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3658 double m1 = 1 - m, ss1, cc1, dd1;
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3659
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3660 ellipj (imag (u), m1, ss1, cc1, dd1, err);
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3661 if (real (u) == 0)
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3662 {
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3663 // u is pure imag: Jacoby imag. transf.
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3664 sn = Complex (0, ss1/cc1);
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3665 cn = 1/cc1; // cn.imag = 0;
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3666 dn = dd1/cc1; // dn.imag = 0;
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3667 }
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3668 else
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3669 {
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3670 // u is generic complex
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3671 double ss, cc, dd, ddd;
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3672
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3673 ellipj (real (u), m, ss, cc, dd, err);
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3674 ddd = cc1cc1 + mssssss1*ss1;
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3675 sn = Complex (ssdd1/ddd, ccddss1cc1/ddd);
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3676 cn = Complex (cccc1/ddd, -ssddss1dd1/ddd);
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3677 dn = Complex (ddcc1dd1/ddd, -msscc*ss1/ddd);
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3678 }
578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 15852 diff changeset	3679 }

Mercurial > hg > octave-nkf

annotate liboctave/numeric/lo-specfun.cc @ 17741:f6293489fe88