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

annotate liboctave/numeric/lo-specfun.cc @ 15696:2fac72a256ce

Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package. * libinterp/corefcn/mappers.cc: Add erfi and dawson mapper functions, and add complex-argument test cases for erf, erfc, erfcx, erfi, and dawson. * libinterp/octave-value/ov-base.cc, libinterp/octave-value/ov-base.h: Add erfi and dawson mapper functions. * libinterp/octave-value/ov-complex.cc, libinterp/octave-value/ov-cx-mat.cc, libinterp/octave-value/ov-cx-sparse.cc, libinterp/octave-value/ov-float.cc, libinterp/octave-value/ov-flt-complex.cc, libinterp/octave-value/ov-flt-cx-mat.cc, libinterp/octave-value/ov-flt-re-mat.cc, libinterp/octave-value/ov-re-mat.c, libinterp/octave-value/ov-re-sparse.cc, libinterp/octave-value/ov-scalar.cc, libinterp/octave-value/ov.h: Support erf, erfc, erfcx, erfi, and dawson mapper functions for real and complex matrices and scalars. * liboctave/cruft/Faddeeva/Faddeeva.cc, liboctave/cruft/Faddeeva/Faddeeva.hh: liboctave/cruft/Faddeeva/module.mk, liboctave/cruft/Makefile.am: Add Faddeeva package (from http://ab-initio.mit.edu/Faddeeva) to libcruft, to provide the various complex-argument error functions. * liboctave/numeric/lo-specfun.cc, liboctave/numeric/lo-specfun.h: Add complex-argument erf, erfc, erfcx, erfi, and dawson functions to liboctave API. Delete previous real-argument erfcx implementation in favor of Faddeeva::erfcx (which seems to be slightly faster in gcc/x86-64 benchmarks, with similar accuracy). * doc/interpreter/arith.txi: Include erfi and dawson documentation.

author	Steven G. Johnson <stevenj@alum.mit.edu>
date	Tue, 27 Nov 2012 23:39:54 -0500
parents	648dabbb4c6b
children	cd115ec92248

rev	line source
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	1 /*
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2
14138 72c96de7a403 maint: update copyright notices for 2012 John W. Eaton <jwe@octave.org> parents: 11586 diff changeset	3 Copyright (C) 1996-2012 John W. Eaton
10391 59e34bcdff13 implement built-in erfcx Jaroslav Hajek <highegg@gmail.com> parents: 10352 diff changeset	4 Copyright (C) 2010 Jaroslav Hajek
10521 4d1fc073fbb7 add some missing copyright stmts Jaroslav Hajek <highegg@gmail.com> parents: 10414 diff changeset	5 Copyright (C) 2010 VZLU Prague
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	6
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	7 This file is part of Octave.
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	8
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	9 Octave is free software; you can redistribute it and/or modify it
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	10 under the terms of the GNU General Public License as published by the
7016 93c65f2a5668 [project @ 2007-10-12 06:40:56 by jwe] jwe parents: 6969 diff changeset	11 Free Software Foundation; either version 3 of the License, or (at your
93c65f2a5668 [project @ 2007-10-12 06:40:56 by jwe] jwe parents: 6969 diff changeset	12 option) any later version.
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	13
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	14 Octave is distributed in the hope that it will be useful, but WITHOUT
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	15 ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	16 FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	17 for more details.
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	18
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	19 You should have received a copy of the GNU General Public License
7016 93c65f2a5668 [project @ 2007-10-12 06:40:56 by jwe] jwe parents: 6969 diff changeset	20 along with Octave; see the file COPYING. If not, see
93c65f2a5668 [project @ 2007-10-12 06:40:56 by jwe] jwe parents: 6969 diff changeset	21 <http://www.gnu.org/licenses/>.
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	22
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	23 */
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	24
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	25 #ifdef HAVE_CONFIG_H
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	26 #include <config.h>
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	27 #endif
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	28
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	29 #include "Range.h"
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	30 #include "CColVector.h"
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	31 #include "CMatrix.h"
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	32 #include "dRowVector.h"
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	33 #include "dMatrix.h"
4844 9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	34 #include "dNDArray.h"
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	35 #include "CNDArray.h"
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	36 #include "fCColVector.h"
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	37 #include "fCMatrix.h"
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	38 #include "fRowVector.h"
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	39 #include "fMatrix.h"
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	40 #include "fNDArray.h"
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	41 #include "fCNDArray.h"
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	42 #include "f77-fcn.h"
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	43 #include "lo-error.h"
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	44 #include "lo-ieee.h"
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	45 #include "lo-specfun.h"
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	46 #include "mx-inlines.cc"
5701 252b6754e545 [project @ 2006-03-21 18:15:42 by jwe] jwe parents: 5700 diff changeset	47 #include "lo-mappers.h"
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	48
4064 b4fa31442a78 [project @ 2002-09-26 21:10:45 by jwe] jwe parents: 4062 diff changeset	49 #ifndef M_PI
b4fa31442a78 [project @ 2002-09-26 21:10:45 by jwe] jwe parents: 4062 diff changeset	50 #define M_PI 3.14159265358979323846
b4fa31442a78 [project @ 2002-09-26 21:10:45 by jwe] jwe parents: 4062 diff changeset	51 #endif
b4fa31442a78 [project @ 2002-09-26 21:10:45 by jwe] jwe parents: 4062 diff changeset	52
15696 2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package. Steven G. Johnson <stevenj@alum.mit.edu> parents: 15271 diff changeset	53 #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	54
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	55 extern "C"
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	56 {
4552 6f3382e08a52 [project @ 2003-10-27 20:38:02 by jwe] jwe parents: 4506 diff changeset	57 F77_RET_T
6f3382e08a52 [project @ 2003-10-27 20:38:02 by jwe] jwe parents: 4506 diff changeset	58 F77_FUNC (zbesj, ZBESJ) (const double&, const double&, const double&,
11518 141b3fb5cef7 style fixes John W. Eaton <jwe@octave.org> parents: 11327 diff changeset	59 const octave_idx_type&, const octave_idx_type&,
141b3fb5cef7 style fixes John W. Eaton <jwe@octave.org> parents: 11327 diff changeset	60 double, double, octave_idx_type&,
141b3fb5cef7 style fixes John W. Eaton <jwe@octave.org> parents: 11327 diff changeset	61 octave_idx_type&);
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	62
4552 6f3382e08a52 [project @ 2003-10-27 20:38:02 by jwe] jwe parents: 4506 diff changeset	63 F77_RET_T
6f3382e08a52 [project @ 2003-10-27 20:38:02 by jwe] jwe parents: 4506 diff changeset	64 F77_FUNC (zbesy, ZBESY) (const double&, const double&, const double&,
11518 141b3fb5cef7 style fixes John W. Eaton <jwe@octave.org> parents: 11327 diff changeset	65 const octave_idx_type&, const octave_idx_type&,
141b3fb5cef7 style fixes John W. Eaton <jwe@octave.org> parents: 11327 diff changeset	66 double, double, octave_idx_type&, double*,
141b3fb5cef7 style fixes John W. Eaton <jwe@octave.org> parents: 11327 diff changeset	67 double*, octave_idx_type&);
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	68
4552 6f3382e08a52 [project @ 2003-10-27 20:38:02 by jwe] jwe parents: 4506 diff changeset	69 F77_RET_T
6f3382e08a52 [project @ 2003-10-27 20:38:02 by jwe] jwe parents: 4506 diff changeset	70 F77_FUNC (zbesi, ZBESI) (const double&, const double&, const double&,
11518 141b3fb5cef7 style fixes John W. Eaton <jwe@octave.org> parents: 11327 diff changeset	71 const octave_idx_type&, const octave_idx_type&,
141b3fb5cef7 style fixes John W. Eaton <jwe@octave.org> parents: 11327 diff changeset	72 double, double, octave_idx_type&,
141b3fb5cef7 style fixes John W. Eaton <jwe@octave.org> parents: 11327 diff changeset	73 octave_idx_type&);
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	74
4552 6f3382e08a52 [project @ 2003-10-27 20:38:02 by jwe] jwe parents: 4506 diff changeset	75 F77_RET_T
6f3382e08a52 [project @ 2003-10-27 20:38:02 by jwe] jwe parents: 4506 diff changeset	76 F77_FUNC (zbesk, ZBESK) (const double&, const double&, const double&,
11518 141b3fb5cef7 style fixes John W. Eaton <jwe@octave.org> parents: 11327 diff changeset	77 const octave_idx_type&, const octave_idx_type&,
141b3fb5cef7 style fixes John W. Eaton <jwe@octave.org> parents: 11327 diff changeset	78 double, double, octave_idx_type&,
141b3fb5cef7 style fixes John W. Eaton <jwe@octave.org> parents: 11327 diff changeset	79 octave_idx_type&);
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	80
4552 6f3382e08a52 [project @ 2003-10-27 20:38:02 by jwe] jwe parents: 4506 diff changeset	81 F77_RET_T
6f3382e08a52 [project @ 2003-10-27 20:38:02 by jwe] jwe parents: 4506 diff changeset	82 F77_FUNC (zbesh, ZBESH) (const double&, const double&, const double&,
11518 141b3fb5cef7 style fixes John W. Eaton <jwe@octave.org> parents: 11327 diff changeset	83 const octave_idx_type&, const octave_idx_type&,
141b3fb5cef7 style fixes John W. Eaton <jwe@octave.org> parents: 11327 diff changeset	84 const octave_idx_type&, double, double,
141b3fb5cef7 style fixes John W. Eaton <jwe@octave.org> parents: 11327 diff changeset	85 octave_idx_type&, octave_idx_type&);
4552 6f3382e08a52 [project @ 2003-10-27 20:38:02 by jwe] jwe parents: 4506 diff changeset	86
6f3382e08a52 [project @ 2003-10-27 20:38:02 by jwe] jwe parents: 4506 diff changeset	87 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	88 F77_FUNC (cbesj, cBESJ) (const FloatComplex&, const float&,
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	89 const octave_idx_type&, const octave_idx_type&,
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	90 FloatComplex*, octave_idx_type&, octave_idx_type&);
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	91
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	92 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	93 F77_FUNC (cbesy, CBESY) (const FloatComplex&, const float&,
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	94 const octave_idx_type&, const octave_idx_type&,
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	95 FloatComplex*, octave_idx_type&,
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	96 FloatComplex*, octave_idx_type&);
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	97
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	98 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	99 F77_FUNC (cbesi, CBESI) (const FloatComplex&, const float&,
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	100 const octave_idx_type&, const octave_idx_type&,
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	101 FloatComplex*, octave_idx_type&, octave_idx_type&);
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	102
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	103 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	104 F77_FUNC (cbesk, CBESK) (const FloatComplex&, const float&,
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	105 const octave_idx_type&, const octave_idx_type&,
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	106 FloatComplex*, octave_idx_type&, octave_idx_type&);
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	107
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	108 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	109 F77_FUNC (cbesh, CBESH) (const FloatComplex&, const float&,
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	110 const octave_idx_type&, const octave_idx_type&,
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	111 const octave_idx_type&, FloatComplex*,
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	112 octave_idx_type&, octave_idx_type&);
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	113
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	114 F77_RET_T
11518 141b3fb5cef7 style fixes John W. Eaton <jwe@octave.org> parents: 11327 diff changeset	115 F77_FUNC (zairy, ZAIRY) (const double&, const double&,
141b3fb5cef7 style fixes John W. Eaton <jwe@octave.org> parents: 11327 diff changeset	116 const octave_idx_type&, const octave_idx_type&,
141b3fb5cef7 style fixes John W. Eaton <jwe@octave.org> parents: 11327 diff changeset	117 double&, double&, octave_idx_type&,
141b3fb5cef7 style fixes John W. Eaton <jwe@octave.org> parents: 11327 diff changeset	118 octave_idx_type&);
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	119
4552 6f3382e08a52 [project @ 2003-10-27 20:38:02 by jwe] jwe parents: 4506 diff changeset	120 F77_RET_T
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	121 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	122 const octave_idx_type&, float&, float&,
141b3fb5cef7 style fixes John W. Eaton <jwe@octave.org> parents: 11327 diff changeset	123 octave_idx_type&, octave_idx_type&);
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	124
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	125 F77_RET_T
11518 141b3fb5cef7 style fixes John W. Eaton <jwe@octave.org> parents: 11327 diff changeset	126 F77_FUNC (zbiry, ZBIRY) (const double&, const double&,
141b3fb5cef7 style fixes John W. Eaton <jwe@octave.org> parents: 11327 diff changeset	127 const octave_idx_type&, const octave_idx_type&,
141b3fb5cef7 style fixes John W. Eaton <jwe@octave.org> parents: 11327 diff changeset	128 double&, double&, octave_idx_type&);
4552 6f3382e08a52 [project @ 2003-10-27 20:38:02 by jwe] jwe parents: 4506 diff changeset	129
6f3382e08a52 [project @ 2003-10-27 20:38:02 by jwe] jwe parents: 4506 diff changeset	130 F77_RET_T
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	131 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	132 const octave_idx_type&, float&, float&,
141b3fb5cef7 style fixes John W. Eaton <jwe@octave.org> parents: 11327 diff changeset	133 octave_idx_type&);
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	134
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	135 F77_RET_T
4552 6f3382e08a52 [project @ 2003-10-27 20:38:02 by jwe] jwe parents: 4506 diff changeset	136 F77_FUNC (xdacosh, XDACOSH) (const double&, double&);
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	137
4552 6f3382e08a52 [project @ 2003-10-27 20:38:02 by jwe] jwe parents: 4506 diff changeset	138 F77_RET_T
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	139 F77_FUNC (xacosh, XACOSH) (const float&, float&);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	140
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	141 F77_RET_T
4552 6f3382e08a52 [project @ 2003-10-27 20:38:02 by jwe] jwe parents: 4506 diff changeset	142 F77_FUNC (xdasinh, XDASINH) (const double&, double&);
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	143
4552 6f3382e08a52 [project @ 2003-10-27 20:38:02 by jwe] jwe parents: 4506 diff changeset	144 F77_RET_T
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	145 F77_FUNC (xasinh, XASINH) (const float&, float&);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	146
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	147 F77_RET_T
4552 6f3382e08a52 [project @ 2003-10-27 20:38:02 by jwe] jwe parents: 4506 diff changeset	148 F77_FUNC (xdatanh, XDATANH) (const double&, double&);
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	149
4552 6f3382e08a52 [project @ 2003-10-27 20:38:02 by jwe] jwe parents: 4506 diff changeset	150 F77_RET_T
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	151 F77_FUNC (xatanh, XATANH) (const float&, float&);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	152
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	153 F77_RET_T
4552 6f3382e08a52 [project @ 2003-10-27 20:38:02 by jwe] jwe parents: 4506 diff changeset	154 F77_FUNC (xderf, XDERF) (const double&, double&);
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	155
4552 6f3382e08a52 [project @ 2003-10-27 20:38:02 by jwe] jwe parents: 4506 diff changeset	156 F77_RET_T
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	157 F77_FUNC (xerf, XERF) (const float&, float&);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	158
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	159 F77_RET_T
4552 6f3382e08a52 [project @ 2003-10-27 20:38:02 by jwe] jwe parents: 4506 diff changeset	160 F77_FUNC (xderfc, XDERFC) (const double&, double&);
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	161
4552 6f3382e08a52 [project @ 2003-10-27 20:38:02 by jwe] jwe parents: 4506 diff changeset	162 F77_RET_T
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	163 F77_FUNC (xerfc, XERFC) (const float&, float&);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	164
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	165 F77_RET_T
4552 6f3382e08a52 [project @ 2003-10-27 20:38:02 by jwe] jwe parents: 4506 diff changeset	166 F77_FUNC (xdbetai, XDBETAI) (const double&, const double&,
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	167 const double&, double&);
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	168
4552 6f3382e08a52 [project @ 2003-10-27 20:38:02 by jwe] jwe parents: 4506 diff changeset	169 F77_RET_T
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	170 F77_FUNC (xbetai, XBETAI) (const float&, const float&,
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	171 const float&, float&);
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	172
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	173 F77_RET_T
4552 6f3382e08a52 [project @ 2003-10-27 20:38:02 by jwe] jwe parents: 4506 diff changeset	174 F77_FUNC (xdgamma, XDGAMMA) (const double&, double&);
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	175
4552 6f3382e08a52 [project @ 2003-10-27 20:38:02 by jwe] jwe parents: 4506 diff changeset	176 F77_RET_T
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	177 F77_FUNC (xgamma, XGAMMA) (const float&, float&);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	178
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	179 F77_RET_T
4552 6f3382e08a52 [project @ 2003-10-27 20:38:02 by jwe] jwe parents: 4506 diff changeset	180 F77_FUNC (xgammainc, XGAMMAINC) (const double&, const double&, double&);
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	181
4552 6f3382e08a52 [project @ 2003-10-27 20:38:02 by jwe] jwe parents: 4506 diff changeset	182 F77_RET_T
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	183 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	184
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	185 F77_RET_T
4552 6f3382e08a52 [project @ 2003-10-27 20:38:02 by jwe] jwe parents: 4506 diff changeset	186 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	187
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	188 F77_RET_T
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	189 F77_FUNC (algams, ALGAMS) (const float&, float&, float&);
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	190 }
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 #if !defined (HAVE_ACOSH)
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	193 double
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	194 acosh (double x)
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 double retval;
5278 fe23ec6763b7 [project @ 2005-04-12 21:04:39 by jwe] jwe parents: 5275 diff changeset	197 F77_XFCN (xdacosh, XDACOSH, (x, retval));
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	198 return retval;
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	199 }
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	200 #endif
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	201
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	202 #if !defined (HAVE_ACOSHF)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	203 float
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	204 acoshf (float x)
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 float retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	207 F77_XFCN (xacosh, XACOSH, (x, retval));
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	208 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	209 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	210 #endif
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	211
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	212 #if !defined (HAVE_ASINH)
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	213 double
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	214 asinh (double x)
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 double retval;
5278 fe23ec6763b7 [project @ 2005-04-12 21:04:39 by jwe] jwe parents: 5275 diff changeset	217 F77_XFCN (xdasinh, XDASINH, (x, retval));
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	218 return retval;
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	219 }
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	220 #endif
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	221
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	222 #if !defined (HAVE_ASINHF)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	223 float
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	224 asinhf (float x)
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 float retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	227 F77_XFCN (xasinh, XASINH, (x, retval));
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	228 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	229 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	230 #endif
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	231
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	232 #if !defined (HAVE_ATANH)
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	233 double
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	234 atanh (double x)
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 double retval;
5278 fe23ec6763b7 [project @ 2005-04-12 21:04:39 by jwe] jwe parents: 5275 diff changeset	237 F77_XFCN (xdatanh, XDATANH, (x, retval));
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	238 return retval;
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	239 }
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	240 #endif
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	241
7914 e998e81224b5 Various compilation fixes for MSVC. John W. Eaton <jwe@octave.org> parents: 7789 diff changeset	242 #if !defined (HAVE_ATANHF)
e998e81224b5 Various compilation fixes for MSVC. John W. Eaton <jwe@octave.org> parents: 7789 diff changeset	243 float
e998e81224b5 Various compilation fixes for MSVC. John W. Eaton <jwe@octave.org> parents: 7789 diff changeset	244 atanhf (float x)
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 float retval;
e998e81224b5 Various compilation fixes for MSVC. John W. Eaton <jwe@octave.org> parents: 7789 diff changeset	247 F77_XFCN (xatanh, XATANH, (x, retval));
e998e81224b5 Various compilation fixes for MSVC. John W. Eaton <jwe@octave.org> parents: 7789 diff changeset	248 return retval;
e998e81224b5 Various compilation fixes for MSVC. John W. Eaton <jwe@octave.org> parents: 7789 diff changeset	249 }
e998e81224b5 Various compilation fixes for MSVC. John W. Eaton <jwe@octave.org> parents: 7789 diff changeset	250 #endif
e998e81224b5 Various compilation fixes for MSVC. John W. Eaton <jwe@octave.org> parents: 7789 diff changeset	251
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	252 #if !defined (HAVE_ERF)
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	253 double
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	254 erf (double x)
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 double retval;
5278 fe23ec6763b7 [project @ 2005-04-12 21:04:39 by jwe] jwe parents: 5275 diff changeset	257 F77_XFCN (xderf, XDERF, (x, retval));
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	258 return retval;
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	259 }
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	260 #endif
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	261
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	262 #if !defined (HAVE_ERFF)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	263 float
7914 e998e81224b5 Various compilation fixes for MSVC. John W. Eaton <jwe@octave.org> parents: 7789 diff changeset	264 erff (float x)
7789 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 float retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	267 F77_XFCN (xerf, XERF, (x, retval));
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	268 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	269 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	270 #endif
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	271
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	272 #if !defined (HAVE_ERFC)
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	273 double
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	274 erfc (double x)
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 double retval;
5278 fe23ec6763b7 [project @ 2005-04-12 21:04:39 by jwe] jwe parents: 5275 diff changeset	277 F77_XFCN (xderfc, XDERFC, (x, retval));
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	278 return retval;
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	279 }
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	280 #endif
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	281
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	282 #if !defined (HAVE_ERFCF)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	283 float
7914 e998e81224b5 Various compilation fixes for MSVC. John W. Eaton <jwe@octave.org> parents: 7789 diff changeset	284 erfcf (float x)
7789 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 float retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	287 F77_XFCN (xerfc, XERFC, (x, retval));
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	288 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	289 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	290 #endif
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	291
15696 2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package. Steven G. Johnson <stevenj@alum.mit.edu> parents: 15271 diff changeset	292 // 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	293 Complex
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package. Steven G. Johnson <stevenj@alum.mit.edu> parents: 15271 diff changeset	294 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	295 {
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package. Steven G. Johnson <stevenj@alum.mit.edu> parents: 15271 diff changeset	296 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	297 }
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package. Steven G. Johnson <stevenj@alum.mit.edu> parents: 15271 diff changeset	298 FloatComplex
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package. Steven G. Johnson <stevenj@alum.mit.edu> parents: 15271 diff changeset	299 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	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 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	302 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	303 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	304 }
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package. Steven G. Johnson <stevenj@alum.mit.edu> parents: 15271 diff changeset	305
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package. Steven G. Johnson <stevenj@alum.mit.edu> parents: 15271 diff changeset	306 // 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	307 Complex
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package. Steven G. Johnson <stevenj@alum.mit.edu> parents: 15271 diff changeset	308 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	309 {
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package. Steven G. Johnson <stevenj@alum.mit.edu> parents: 15271 diff changeset	310 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	311 }
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package. Steven G. Johnson <stevenj@alum.mit.edu> parents: 15271 diff changeset	312 FloatComplex
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package. Steven G. Johnson <stevenj@alum.mit.edu> parents: 15271 diff changeset	313 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	314 {
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package. Steven G. Johnson <stevenj@alum.mit.edu> parents: 15271 diff changeset	315 Complex 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	316 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	317 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	318 }
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package. Steven G. Johnson <stevenj@alum.mit.edu> parents: 15271 diff changeset	319
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package. Steven G. Johnson <stevenj@alum.mit.edu> parents: 15271 diff changeset	320 // 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	321 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	322 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	323 Complex
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package. Steven G. Johnson <stevenj@alum.mit.edu> parents: 15271 diff changeset	324 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	325 {
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package. Steven G. Johnson <stevenj@alum.mit.edu> parents: 15271 diff changeset	326 return 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	327 }
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package. Steven G. Johnson <stevenj@alum.mit.edu> parents: 15271 diff changeset	328 FloatComplex
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package. Steven G. Johnson <stevenj@alum.mit.edu> parents: 15271 diff changeset	329 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	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 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	332 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	333 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	334 }
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package. Steven G. Johnson <stevenj@alum.mit.edu> parents: 15271 diff changeset	335
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package. Steven G. Johnson <stevenj@alum.mit.edu> parents: 15271 diff changeset	336 // 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	337 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	338 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	339 Complex
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package. Steven G. Johnson <stevenj@alum.mit.edu> parents: 15271 diff changeset	340 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	341 {
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package. Steven G. Johnson <stevenj@alum.mit.edu> parents: 15271 diff changeset	342 return 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	343 }
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package. Steven G. Johnson <stevenj@alum.mit.edu> parents: 15271 diff changeset	344 FloatComplex
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package. Steven G. Johnson <stevenj@alum.mit.edu> parents: 15271 diff changeset	345 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	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 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	348 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	349 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	350 }
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package. Steven G. Johnson <stevenj@alum.mit.edu> parents: 15271 diff changeset	351
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package. Steven G. Johnson <stevenj@alum.mit.edu> parents: 15271 diff changeset	352 // 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	353 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	354 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	355 Complex
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package. Steven G. Johnson <stevenj@alum.mit.edu> parents: 15271 diff changeset	356 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	357 {
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package. Steven G. Johnson <stevenj@alum.mit.edu> parents: 15271 diff changeset	358 return 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	359 }
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package. Steven G. Johnson <stevenj@alum.mit.edu> parents: 15271 diff changeset	360 FloatComplex
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package. Steven G. Johnson <stevenj@alum.mit.edu> parents: 15271 diff changeset	361 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	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 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	364 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	365 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	366 }
2fac72a256ce Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package. Steven G. Johnson <stevenj@alum.mit.edu> parents: 15271 diff changeset	367
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	368 double
3156 a494f93e60ff [project @ 1998-02-20 07:47:48 by jwe] jwe parents: 3146 diff changeset	369 xgamma (double x)
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	370 {
3156 a494f93e60ff [project @ 1998-02-20 07:47:48 by jwe] jwe parents: 3146 diff changeset	371 double result;
5701 252b6754e545 [project @ 2006-03-21 18:15:42 by jwe] jwe parents: 5700 diff changeset	372
252b6754e545 [project @ 2006-03-21 18:15:42 by jwe] jwe parents: 5700 diff changeset	373 if (xisnan (x))
252b6754e545 [project @ 2006-03-21 18:15:42 by jwe] jwe parents: 5700 diff changeset	374 result = x;
252b6754e545 [project @ 2006-03-21 18:15:42 by jwe] jwe parents: 5700 diff changeset	375 else if ((x <= 0 && D_NINT (x) == x) \|\| xisinf (x))
252b6754e545 [project @ 2006-03-21 18:15:42 by jwe] jwe parents: 5700 diff changeset	376 result = octave_Inf;
252b6754e545 [project @ 2006-03-21 18:15:42 by jwe] jwe parents: 5700 diff changeset	377 else
11327 ef0e995f8c0f correctly compute gamma for negative integer values when tgamma is available Marco Atzeri <marco_atzeri@yahoo.it> parents: 10902 diff changeset	378 #if defined (HAVE_TGAMMA)
ef0e995f8c0f correctly compute gamma for negative integer values when tgamma is available Marco Atzeri <marco_atzeri@yahoo.it> parents: 10902 diff changeset	379 result = tgamma (x);
ef0e995f8c0f correctly compute gamma for negative integer values when tgamma is available Marco Atzeri <marco_atzeri@yahoo.it> parents: 10902 diff changeset	380 #else
5701 252b6754e545 [project @ 2006-03-21 18:15:42 by jwe] jwe parents: 5700 diff changeset	381 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	382 #endif
6969 0a64abe792f4 [project @ 2007-10-06 14:15:19 by jwe] jwe parents: 6961 diff changeset	383
3156 a494f93e60ff [project @ 1998-02-20 07:47:48 by jwe] jwe parents: 3146 diff changeset	384 return result;
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	385 }
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	386
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	387 double
3156 a494f93e60ff [project @ 1998-02-20 07:47:48 by jwe] jwe parents: 3146 diff changeset	388 xlgamma (double x)
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	389 {
6969 0a64abe792f4 [project @ 2007-10-06 14:15:19 by jwe] jwe parents: 6961 diff changeset	390 #if defined (HAVE_LGAMMA)
0a64abe792f4 [project @ 2007-10-06 14:15:19 by jwe] jwe parents: 6961 diff changeset	391 return lgamma (x);
0a64abe792f4 [project @ 2007-10-06 14:15:19 by jwe] jwe parents: 6961 diff changeset	392 #else
3156 a494f93e60ff [project @ 1998-02-20 07:47:48 by jwe] jwe parents: 3146 diff changeset	393 double result;
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	394 double sgngam;
4497 2a02f3a16fe0 [project @ 2003-09-04 18:48:13 by jwe] jwe parents: 4490 diff changeset	395
5701 252b6754e545 [project @ 2006-03-21 18:15:42 by jwe] jwe parents: 5700 diff changeset	396 if (xisnan (x))
252b6754e545 [project @ 2006-03-21 18:15:42 by jwe] jwe parents: 5700 diff changeset	397 result = x;
10902 9a64e02e2aad Validate input arguments for gamma, lgamma. Tatsuro MATSUOKA <tmacchant@yahoo.co.jp> parents: 10521 diff changeset	398 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	399 result = octave_Inf;
5700 67118c88cee7 [project @ 2006-03-21 17:31:45 by jwe] jwe parents: 5307 diff changeset	400 else
67118c88cee7 [project @ 2006-03-21 17:31:45 by jwe] jwe parents: 5307 diff changeset	401 F77_XFCN (dlgams, DLGAMS, (x, result, sgngam));
4497 2a02f3a16fe0 [project @ 2003-09-04 18:48:13 by jwe] jwe parents: 4490 diff changeset	402
3156 a494f93e60ff [project @ 1998-02-20 07:47:48 by jwe] jwe parents: 3146 diff changeset	403 return result;
6969 0a64abe792f4 [project @ 2007-10-06 14:15:19 by jwe] jwe parents: 6961 diff changeset	404 #endif
6961 b559b4bcf51f [project @ 2007-10-05 19:35:21 by jwe] jwe parents: 5775 diff changeset	405 }
b559b4bcf51f [project @ 2007-10-05 19:35:21 by jwe] jwe parents: 5775 diff changeset	406
7601 8a939b217863 Treat negative values to lgamma and beta correctly David Bateman <dbateman@free.fr> parents: 7176 diff changeset	407 Complex
9812 f80c566bc751 improve unary mapper system Jaroslav Hajek <highegg@gmail.com> parents: 9732 diff changeset	408 rc_lgamma (double x)
7601 8a939b217863 Treat negative values to lgamma and beta correctly David Bateman <dbateman@free.fr> parents: 7176 diff changeset	409 {
8a939b217863 Treat negative values to lgamma and beta correctly David Bateman <dbateman@free.fr> parents: 7176 diff changeset	410 double result;
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 #if defined (HAVE_LGAMMA_R)
8a939b217863 Treat negative values to lgamma and beta correctly David Bateman <dbateman@free.fr> parents: 7176 diff changeset	413 int sgngam;
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11574 diff changeset	414 result = lgamma_r (x, &sgngam);
7601 8a939b217863 Treat negative values to lgamma and beta correctly David Bateman <dbateman@free.fr> parents: 7176 diff changeset	415 #else
8a939b217863 Treat negative values to lgamma and beta correctly David Bateman <dbateman@free.fr> parents: 7176 diff changeset	416 double sgngam;
8a939b217863 Treat negative values to lgamma and beta correctly David Bateman <dbateman@free.fr> parents: 7176 diff changeset	417
8a939b217863 Treat negative values to lgamma and beta correctly David Bateman <dbateman@free.fr> parents: 7176 diff changeset	418 if (xisnan (x))
8a939b217863 Treat negative values to lgamma and beta correctly David Bateman <dbateman@free.fr> parents: 7176 diff changeset	419 result = x;
10902 9a64e02e2aad Validate input arguments for gamma, lgamma. Tatsuro MATSUOKA <tmacchant@yahoo.co.jp> parents: 10521 diff changeset	420 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	421 result = octave_Inf;
8a939b217863 Treat negative values to lgamma and beta correctly David Bateman <dbateman@free.fr> parents: 7176 diff changeset	422 else
8a939b217863 Treat negative values to lgamma and beta correctly David Bateman <dbateman@free.fr> parents: 7176 diff changeset	423 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	424
8a939b217863 Treat negative values to lgamma and beta correctly David Bateman <dbateman@free.fr> parents: 7176 diff changeset	425 #endif
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 if (sgngam < 0)
8a939b217863 Treat negative values to lgamma and beta correctly David Bateman <dbateman@free.fr> parents: 7176 diff changeset	428 return result + Complex (0., M_PI);
8a939b217863 Treat negative values to lgamma and beta correctly David Bateman <dbateman@free.fr> parents: 7176 diff changeset	429 else
8a939b217863 Treat negative values to lgamma and beta correctly David Bateman <dbateman@free.fr> parents: 7176 diff changeset	430 return result;
8a939b217863 Treat negative values to lgamma and beta correctly David Bateman <dbateman@free.fr> parents: 7176 diff changeset	431 }
8a939b217863 Treat negative values to lgamma and beta correctly David Bateman <dbateman@free.fr> parents: 7176 diff changeset	432
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	433 float
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	434 xgamma (float x)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	435 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	436 float result;
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 if (xisnan (x))
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	439 result = x;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	440 else if ((x <= 0 && D_NINT (x) == x) \|\| xisinf (x))
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	441 result = octave_Float_Inf;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	442 else
11327 ef0e995f8c0f correctly compute gamma for negative integer values when tgamma is available Marco Atzeri <marco_atzeri@yahoo.it> parents: 10902 diff changeset	443 #if defined (HAVE_TGAMMAF)
ef0e995f8c0f correctly compute gamma for negative integer values when tgamma is available Marco Atzeri <marco_atzeri@yahoo.it> parents: 10902 diff changeset	444 result = tgammaf (x);
ef0e995f8c0f correctly compute gamma for negative integer values when tgamma is available Marco Atzeri <marco_atzeri@yahoo.it> parents: 10902 diff changeset	445 #else
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	446 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	447 #endif
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	448
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	449 return result;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	450 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	451
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	452 float
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	453 xlgamma (float x)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	454 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	455 #if defined (HAVE_LGAMMAF)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	456 return lgammaf (x);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	457 #else
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	458 float result;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	459 float sgngam;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	460
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	461 if (xisnan (x))
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	462 result = x;
10902 9a64e02e2aad Validate input arguments for gamma, lgamma. Tatsuro MATSUOKA <tmacchant@yahoo.co.jp> parents: 10521 diff changeset	463 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	464 result = octave_Float_Inf;
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 F77_XFCN (algams, ALGAMS, (x, result, sgngam));
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	467
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	468 return result;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	469 #endif
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	470 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	471
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	472 FloatComplex
9812 f80c566bc751 improve unary mapper system Jaroslav Hajek <highegg@gmail.com> parents: 9732 diff changeset	473 rc_lgamma (float x)
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	474 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	475 float result;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	476
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	477 #if defined (HAVE_LGAMMAF_R)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	478 int sgngam;
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11574 diff changeset	479 result = lgammaf_r (x, &sgngam);
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	480 #else
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	481 float sgngam;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	482
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	483 if (xisnan (x))
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	484 result = x;
10902 9a64e02e2aad Validate input arguments for gamma, lgamma. Tatsuro MATSUOKA <tmacchant@yahoo.co.jp> parents: 10521 diff changeset	485 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	486 result = octave_Float_Inf;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	487 else
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	488 F77_XFCN (algams, ALGAMS, (x, result, sgngam));
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	489
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	490 #endif
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	491
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	492 if (sgngam < 0)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	493 return result + FloatComplex (0., M_PI);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	494 else
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	495 return result;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	496 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	497
7638 2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	498 #if !defined (HAVE_EXPM1)
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	499 double
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	500 expm1 (double x)
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	501 {
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	502 double retval;
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	503
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	504 double ax = fabs (x);
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	505
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	506 if (ax < 0.1)
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	507 {
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	508 ax /= 16;
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 // use Taylor series to calculate exp(x)-1.
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	511 double t = ax;
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11574 diff changeset	512 double s = 0;
7638 2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	513 for (int i = 2; i < 7; i++)
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	514 s += (t *= ax/i);
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	515 s += ax;
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	516
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	517 // 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	518 double e = s;
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	519 for (int i = 0; i < 4; i++)
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	520 {
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	521 s *= e + 2;
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	522 e *= e + 2;
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	523 }
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 retval = (x > 0) ? s : -s / (1+s);
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	526 }
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	527 else
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	528 retval = exp (x) - 1;
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	529
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	530 return retval;
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 #endif
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	533
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11574 diff changeset	534 Complex
15018 3d8ace26c5b4 maint: Use Octave coding conventions for cuddled parentheses in liboctave/. Rik <rik@octave.org> parents: 14847 diff changeset	535 expm1 (const Complex& x)
7638 2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	536 {
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	537 Complex retval;
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	538
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	539 if (std:: abs (x) < 1)
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	540 {
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	541 double im = x.imag ();
7638 2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	542 double u = expm1 (x.real ());
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	543 double v = sin (im/2);
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	544 v = -2vv;
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	545 retval = Complex (uv + u + v, (u+1) sin (im));
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	546 }
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	547 else
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	548 retval = std::exp (x) - Complex (1);
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	549
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	550 return retval;
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	551 }
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	552
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	553 #if !defined (HAVE_EXPM1F)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	554 float
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	555 expm1f (float x)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	556 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	557 float retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	558
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	559 float ax = fabs (x);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	560
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	561 if (ax < 0.1)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	562 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	563 ax /= 16;
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 // use Taylor series to calculate exp(x)-1.
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	566 float t = ax;
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11574 diff changeset	567 float s = 0;
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	568 for (int i = 2; i < 7; i++)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	569 s += (t *= ax/i);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	570 s += ax;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	571
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	572 // 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	573 float e = s;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	574 for (int i = 0; i < 4; i++)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	575 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	576 s *= e + 2;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	577 e *= e + 2;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	578 }
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 retval = (x > 0) ? s : -s / (1+s);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	581 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	582 else
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	583 retval = exp (x) - 1;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	584
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	585 return retval;
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 #endif
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	588
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11574 diff changeset	589 FloatComplex
15018 3d8ace26c5b4 maint: Use Octave coding conventions for cuddled parentheses in liboctave/. Rik <rik@octave.org> parents: 14847 diff changeset	590 expm1 (const FloatComplex& x)
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	591 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	592 FloatComplex retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	593
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	594 if (std:: abs (x) < 1)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	595 {
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	596 float im = x.imag ();
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	597 float u = expm1 (x.real ());
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	598 float v = sin (im/2);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	599 v = -2vv;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	600 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	601 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	602 else
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	603 retval = std::exp (x) - FloatComplex (1);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	604
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	605 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	606 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	607
7638 2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	608 #if !defined (HAVE_LOG1P)
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	609 double
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	610 log1p (double x)
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	611 {
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	612 double retval;
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	613
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	614 double ax = fabs (x);
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	615
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	616 if (ax < 0.2)
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	617 {
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	618 // 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	619 double u = x / (2 + x), t = 1, s = 0;
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	620 for (int i = 2; i < 12; i += 2)
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	621 s += (t = uu) / (i+1);
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	622
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	623 retval = 2 * (s + 1) * u;
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	624 }
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	625 else
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	626 retval = log (1 + x);
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	627
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	628 return retval;
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	629 }
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	630 #endif
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	631
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11574 diff changeset	632 Complex
7638 2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	633 log1p (const Complex& x)
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	634 {
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	635 Complex retval;
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	636
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	637 double r = x.real (), i = x.imag ();
7638 2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	638
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	639 if (fabs (r) < 0.5 && fabs (i) < 0.5)
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	640 {
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	641 double u = 2r + rr + i*i;
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	642 retval = Complex (log1p (u / (1+sqrt (u+1))),
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	643 atan2 (1 + r, i));
7638 2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	644 }
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	645 else
15018 3d8ace26c5b4 maint: Use Octave coding conventions for cuddled parentheses in liboctave/. Rik <rik@octave.org> parents: 14847 diff changeset	646 retval = std::log (Complex (1) + x);
7638 2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	647
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	648 return retval;
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	649 }
2df457529cfa implement expm1 and log1p functions Jaroslav Hajek <highegg@gmail.com> parents: 7601 diff changeset	650
10414 2a8b1db1e2ca implement built-in cbrt Jaroslav Hajek <highegg@gmail.com> parents: 10391 diff changeset	651 #if !defined (HAVE_CBRT)
2a8b1db1e2ca implement built-in cbrt Jaroslav Hajek <highegg@gmail.com> parents: 10391 diff changeset	652 double cbrt (double x)
2a8b1db1e2ca implement built-in cbrt Jaroslav Hajek <highegg@gmail.com> parents: 10391 diff changeset	653 {
2a8b1db1e2ca implement built-in cbrt Jaroslav Hajek <highegg@gmail.com> parents: 10391 diff changeset	654 static const double one_third = 0.3333333333333333333;
2a8b1db1e2ca implement built-in cbrt Jaroslav Hajek <highegg@gmail.com> parents: 10391 diff changeset	655 if (xfinite (x))
2a8b1db1e2ca implement built-in cbrt Jaroslav Hajek <highegg@gmail.com> parents: 10391 diff changeset	656 {
2a8b1db1e2ca implement built-in cbrt Jaroslav Hajek <highegg@gmail.com> parents: 10391 diff changeset	657 // Use pow.
2a8b1db1e2ca implement built-in cbrt Jaroslav Hajek <highegg@gmail.com> parents: 10391 diff changeset	658 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	659 // Correct for better accuracy.
2a8b1db1e2ca implement built-in cbrt Jaroslav Hajek <highegg@gmail.com> parents: 10391 diff changeset	660 return (x / (y*y) + y + y) / 3;
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 else
2a8b1db1e2ca implement built-in cbrt Jaroslav Hajek <highegg@gmail.com> parents: 10391 diff changeset	663 return 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 #endif
2a8b1db1e2ca implement built-in cbrt Jaroslav Hajek <highegg@gmail.com> parents: 10391 diff changeset	666
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	667 #if !defined (HAVE_LOG1PF)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	668 float
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	669 log1pf (float x)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	670 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	671 float retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	672
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	673 float ax = fabs (x);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	674
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	675 if (ax < 0.2)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	676 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	677 // 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	678 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	679 for (int i = 2; i < 12; i += 2)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	680 s += (t = uu) / (i+1);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	681
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	682 retval = 2 * (s + 1) * u;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	683 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	684 else
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	685 retval = log (1 + x);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	686
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	687 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	688 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	689 #endif
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	690
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11574 diff changeset	691 FloatComplex
9812 f80c566bc751 improve unary mapper system Jaroslav Hajek <highegg@gmail.com> parents: 9732 diff changeset	692 log1p (const FloatComplex& x)
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	693 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	694 FloatComplex retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	695
14816 0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	696 float r = x.real (), i = x.imag ();
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	697
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	698 if (fabs (r) < 0.5 && fabs (i) < 0.5)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	699 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	700 float u = 2r + rr + i*i;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	701 retval = FloatComplex (log1p (u / (1+sqrt (u+1))),
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	702 atan2 (1 + r, i));
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	703 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	704 else
15018 3d8ace26c5b4 maint: Use Octave coding conventions for cuddled parentheses in liboctave/. Rik <rik@octave.org> parents: 14847 diff changeset	705 retval = std::log (FloatComplex (1) + x);
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	706
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	707 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	708 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	709
10414 2a8b1db1e2ca implement built-in cbrt Jaroslav Hajek <highegg@gmail.com> parents: 10391 diff changeset	710 #if !defined (HAVE_CBRTF)
2a8b1db1e2ca implement built-in cbrt Jaroslav Hajek <highegg@gmail.com> parents: 10391 diff changeset	711 float cbrtf (float x)
2a8b1db1e2ca implement built-in cbrt Jaroslav Hajek <highegg@gmail.com> parents: 10391 diff changeset	712 {
2a8b1db1e2ca implement built-in cbrt Jaroslav Hajek <highegg@gmail.com> parents: 10391 diff changeset	713 static const float one_third = 0.3333333333333333333f;
2a8b1db1e2ca implement built-in cbrt Jaroslav Hajek <highegg@gmail.com> parents: 10391 diff changeset	714 if (xfinite (x))
2a8b1db1e2ca implement built-in cbrt Jaroslav Hajek <highegg@gmail.com> parents: 10391 diff changeset	715 {
2a8b1db1e2ca implement built-in cbrt Jaroslav Hajek <highegg@gmail.com> parents: 10391 diff changeset	716 // Use pow.
2a8b1db1e2ca implement built-in cbrt Jaroslav Hajek <highegg@gmail.com> parents: 10391 diff changeset	717 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	718 // Correct for better accuracy.
2a8b1db1e2ca implement built-in cbrt Jaroslav Hajek <highegg@gmail.com> parents: 10391 diff changeset	719 return (x / (y*y) + y + y) / 3;
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 else
2a8b1db1e2ca implement built-in cbrt Jaroslav Hajek <highegg@gmail.com> parents: 10391 diff changeset	722 return 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 #endif
2a8b1db1e2ca implement built-in cbrt Jaroslav Hajek <highegg@gmail.com> parents: 10391 diff changeset	725
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	726 static inline Complex
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	727 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	728
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	729 static inline Complex
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	730 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	731
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	732 static inline Complex
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	733 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	734
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	735 static inline Complex
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	736 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	737
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	738 static inline Complex
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	739 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	740
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	741 static inline Complex
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	742 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	743
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	744 static inline Complex
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	745 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	746 {
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	747 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	748 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	749
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	750 Complex retval;
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 switch (ierr)
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	753 {
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	754 case 0:
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	755 case 3:
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	756 retval = val;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	757 break;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	758
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	759 case 2:
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	760 retval = inf_val;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	761 break;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	762
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	763 default:
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	764 retval = nan_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
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	768 return retval;
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	769 }
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	770
4911 14027e0bafa4 [project @ 2004-07-22 19:58:06 by jwe] jwe parents: 4844 diff changeset	771 static inline bool
14027e0bafa4 [project @ 2004-07-22 19:58:06 by jwe] jwe parents: 4844 diff changeset	772 is_integer_value (double x)
14027e0bafa4 [project @ 2004-07-22 19:58:06 by jwe] jwe parents: 4844 diff changeset	773 {
14027e0bafa4 [project @ 2004-07-22 19:58:06 by jwe] jwe parents: 4844 diff changeset	774 return x == static_cast<double> (static_cast<long> (x));
14027e0bafa4 [project @ 2004-07-22 19:58:06 by jwe] jwe parents: 4844 diff changeset	775 }
14027e0bafa4 [project @ 2004-07-22 19:58:06 by jwe] jwe parents: 4844 diff changeset	776
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	777 static inline Complex
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	778 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	779 {
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	780 Complex retval;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	781
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	782 if (alpha >= 0.0)
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	783 {
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	784 double yr = 0.0;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	785 double yi = 0.0;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	786
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	787 octave_idx_type nz;
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	788
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	789 double zr = z.real ();
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	790 double zi = z.imag ();
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	791
4506 3c82fc8f822c [project @ 2003-09-10 13:56:57 by jwe] jwe parents: 4497 diff changeset	792 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	793
3c82fc8f822c [project @ 2003-09-10 13:56:57 by jwe] jwe parents: 4497 diff changeset	794 if (kode != 2)
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	795 {
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11574 diff changeset	796 double expz = exp (std::abs (zi));
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	797 yr *= expz;
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	798 yi *= expz;
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	799 }
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	800
4490 1aed172ab84a [project @ 2003-08-28 19:03:06 by jwe] jwe parents: 4180 diff changeset	801 if (zi == 0.0 && zr >= 0.0)
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	802 yi = 0.0;
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	803
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	804 retval = bessel_return_value (Complex (yr, yi), ierr);
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	805 }
4911 14027e0bafa4 [project @ 2004-07-22 19:58:06 by jwe] jwe parents: 4844 diff changeset	806 else if (is_integer_value (alpha))
14027e0bafa4 [project @ 2004-07-22 19:58:06 by jwe] jwe parents: 4844 diff changeset	807 {
14027e0bafa4 [project @ 2004-07-22 19:58:06 by jwe] jwe parents: 4844 diff changeset	808 // 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	809 alpha = -alpha;
14027e0bafa4 [project @ 2004-07-22 19:58:06 by jwe] jwe parents: 4844 diff changeset	810 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	811 if ((static_cast <long> (alpha)) & 1)
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	812 tmp = - tmp;
4911 14027e0bafa4 [project @ 2004-07-22 19:58:06 by jwe] jwe parents: 4844 diff changeset	813 retval = bessel_return_value (tmp, ierr);
14027e0bafa4 [project @ 2004-07-22 19:58:06 by jwe] jwe parents: 4844 diff changeset	814 }
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	815 else
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	816 {
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	817 alpha = -alpha;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	818
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	819 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	820
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	821 if (ierr == 0 \|\| ierr == 3)
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	822 {
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	823 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	824
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	825 retval = bessel_return_value (tmp, ierr);
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	826 }
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	827 else
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	828 retval = Complex (octave_NaN, octave_NaN);
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	829 }
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	830
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	831 return retval;
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	832 }
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	833
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	834 static inline Complex
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	835 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	836 {
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	837 Complex retval;
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	838
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	839 if (alpha >= 0.0)
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	840 {
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	841 double yr = 0.0;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	842 double yi = 0.0;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	843
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	844 octave_idx_type nz;
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	845
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	846 double wr, wi;
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	847
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	848 double zr = z.real ();
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	849 double zi = z.imag ();
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	850
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	851 ierr = 0;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	852
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	853 if (zr == 0.0 && zi == 0.0)
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	854 {
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	855 yr = -octave_Inf;
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	856 yi = 0.0;
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	857 }
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	858 else
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	859 {
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	860 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	861 &wr, &wi, ierr);
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 if (kode != 2)
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	864 {
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	865 double expz = exp (std::abs (zi));
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	866 yr *= expz;
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	867 yi *= expz;
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	868 }
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	869
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	870 if (zi == 0.0 && zr >= 0.0)
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	871 yi = 0.0;
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	872 }
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	873
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	874 return bessel_return_value (Complex (yr, yi), ierr);
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	875 }
4911 14027e0bafa4 [project @ 2004-07-22 19:58:06 by jwe] jwe parents: 4844 diff changeset	876 else if (is_integer_value (alpha - 0.5))
14027e0bafa4 [project @ 2004-07-22 19:58:06 by jwe] jwe parents: 4844 diff changeset	877 {
14027e0bafa4 [project @ 2004-07-22 19:58:06 by jwe] jwe parents: 4844 diff changeset	878 // 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	879 alpha = -alpha;
14027e0bafa4 [project @ 2004-07-22 19:58:06 by jwe] jwe parents: 4844 diff changeset	880 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	881 if ((static_cast <long> (alpha - 0.5)) & 1)
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	882 tmp = - tmp;
4911 14027e0bafa4 [project @ 2004-07-22 19:58:06 by jwe] jwe parents: 4844 diff changeset	883 retval = bessel_return_value (tmp, ierr);
14027e0bafa4 [project @ 2004-07-22 19:58:06 by jwe] jwe parents: 4844 diff changeset	884 }
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	885 else
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	886 {
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	887 alpha = -alpha;
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	888
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	889 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	890
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	891 if (ierr == 0 \|\| ierr == 3)
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	892 {
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	893 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	894
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	895 retval = bessel_return_value (tmp, ierr);
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	896 }
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	897 else
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	898 retval = Complex (octave_NaN, octave_NaN);
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	899 }
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	900
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	901 return retval;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	902 }
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	903
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	904 static inline Complex
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	905 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	906 {
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	907 Complex retval;
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	908
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	909 if (alpha >= 0.0)
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 double yr = 0.0;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	912 double yi = 0.0;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	913
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	914 octave_idx_type nz;
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	915
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	916 double zr = z.real ();
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	917 double zi = z.imag ();
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	918
4506 3c82fc8f822c [project @ 2003-09-10 13:56:57 by jwe] jwe parents: 4497 diff changeset	919 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	920
3c82fc8f822c [project @ 2003-09-10 13:56:57 by jwe] jwe parents: 4497 diff changeset	921 if (kode != 2)
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	922 {
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	923 double expz = exp (std::abs (zr));
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	924 yr *= expz;
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	925 yi *= expz;
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	926 }
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	927
4490 1aed172ab84a [project @ 2003-08-28 19:03:06 by jwe] jwe parents: 4180 diff changeset	928 if (zi == 0.0 && zr >= 0.0)
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	929 yi = 0.0;
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	930
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	931 retval = bessel_return_value (Complex (yr, yi), ierr);
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	932 }
14196 35ce1eab7400 besseli: use special case for negative integer orders John W. Eaton <jwe@octave.org> parents: 14138 diff changeset	933 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	934 {
35ce1eab7400 besseli: use special case for negative integer orders John W. Eaton <jwe@octave.org> parents: 14138 diff changeset	935 // 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	936 alpha = -alpha;
35ce1eab7400 besseli: use special case for negative integer orders John W. Eaton <jwe@octave.org> parents: 14138 diff changeset	937 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	938 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	939 }
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	940 else
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	941 {
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	942 alpha = -alpha;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	943
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	944 Complex tmp = zbesi (z, alpha, kode, ierr);
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	945
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	946 if (ierr == 0 \|\| ierr == 3)
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	947 {
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	948 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	949 * zbesk (z, alpha, kode, ierr);
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11574 diff changeset	950
12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11574 diff changeset	951 if (kode == 2)
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	952 {
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	953 // 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	954 tmp2 *= exp (-z - std::abs (z.real ()));
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	955 }
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11574 diff changeset	956
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	957 tmp += tmp2;
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	958
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	959 retval = bessel_return_value (tmp, ierr);
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	960 }
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	961 else
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	962 retval = Complex (octave_NaN, octave_NaN);
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	963 }
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	964
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	965 return retval;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	966 }
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	967
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	968 static inline Complex
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	969 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	970 {
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	971 Complex retval;
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 if (alpha >= 0.0)
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 double yr = 0.0;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	976 double yi = 0.0;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	977
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	978 octave_idx_type nz;
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	979
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	980 double zr = z.real ();
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	981 double zi = z.imag ();
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 ierr = 0;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	984
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	985 if (zr == 0.0 && zi == 0.0)
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	986 {
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	987 yr = octave_Inf;
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	988 yi = 0.0;
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	989 }
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	990 else
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	991 {
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	992 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	993
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	994 if (kode != 2)
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	995 {
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	996 Complex expz = exp (-z);
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	997
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	998 double rexpz = real (expz);
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	999 double iexpz = imag (expz);
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1000
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1001 double tmp = yrrexpz - yiiexpz;
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1002
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1003 yi = yriexpz + yirexpz;
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1004 yr = tmp;
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
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1007 if (zi == 0.0 && zr >= 0.0)
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1008 yi = 0.0;
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1009 }
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1010
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1011 retval = bessel_return_value (Complex (yr, yi), ierr);
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1012 }
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1013 else
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1014 {
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1015 Complex tmp = zbesk (z, -alpha, kode, ierr);
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1016
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1017 retval = bessel_return_value (tmp, ierr);
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1018 }
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	1019
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	1020 return retval;
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	1021 }
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	1022
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1023 static inline Complex
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	1024 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	1025 {
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1026 Complex retval;
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	1027
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1028 if (alpha >= 0.0)
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	1029 {
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1030 double yr = 0.0;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1031 double yi = 0.0;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1032
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	1033 octave_idx_type nz;
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1034
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1035 double zr = z.real ();
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1036 double zi = z.imag ();
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	1037
4506 3c82fc8f822c [project @ 2003-09-10 13:56:57 by jwe] jwe parents: 4497 diff changeset	1038 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	1039
3c82fc8f822c [project @ 2003-09-10 13:56:57 by jwe] jwe parents: 4497 diff changeset	1040 if (kode != 2)
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1041 {
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1042 Complex expz = exp (Complex (0.0, 1.0) * z);
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1043
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1044 double rexpz = real (expz);
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1045 double iexpz = imag (expz);
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1046
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1047 double tmp = yrrexpz - yiiexpz;
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1048
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1049 yi = yriexpz + yirexpz;
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1050 yr = tmp;
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1051 }
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	1052
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1053 retval = bessel_return_value (Complex (yr, yi), ierr);
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1054 }
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1055 else
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1056 {
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1057 alpha = -alpha;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1058
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1059 static const Complex eye = Complex (0.0, 1.0);
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 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	1062
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1063 retval = bessel_return_value (tmp, ierr);
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1064 }
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	1065
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1066 return retval;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1067 }
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 static inline Complex
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	1070 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	1071 {
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1072 Complex retval;
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 if (alpha >= 0.0)
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1075 {
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1076 double yr = 0.0;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1077 double yi = 0.0;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1078
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	1079 octave_idx_type nz;
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	1080
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1081 double zr = z.real ();
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1082 double zi = z.imag ();
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	1083
4506 3c82fc8f822c [project @ 2003-09-10 13:56:57 by jwe] jwe parents: 4497 diff changeset	1084 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	1085
3c82fc8f822c [project @ 2003-09-10 13:56:57 by jwe] jwe parents: 4497 diff changeset	1086 if (kode != 2)
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1087 {
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1088 Complex expz = exp (-Complex (0.0, 1.0) * z);
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1089
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1090 double rexpz = real (expz);
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1091 double iexpz = imag (expz);
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1092
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1093 double tmp = yrrexpz - yiiexpz;
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1094
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1095 yi = yriexpz + yirexpz;
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1096 yr = tmp;
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1097 }
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1098
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1099 retval = bessel_return_value (Complex (yr, yi), ierr);
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	1100 }
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	1101 else
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1102 {
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1103 alpha = -alpha;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1104
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1105 static const Complex eye = Complex (0.0, 1.0);
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 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	1108
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1109 retval = bessel_return_value (tmp, ierr);
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
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1112 return retval;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1113 }
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1114
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1115 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	1116
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1117 static inline Complex
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1118 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	1119 bool scaled, octave_idx_type& ierr)
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1120 {
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1121 Complex retval;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1122
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1123 retval = f (x, alpha, (scaled ? 2 : 1), ierr);
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 return retval;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1126 }
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1127
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1128 static inline ComplexMatrix
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1129 do_bessel (dptr f, const char *, double alpha, const ComplexMatrix& x,
10352 a3635bc1ea19 remove Array2 Jaroslav Hajek <highegg@gmail.com> parents: 10314 diff changeset	1130 bool scaled, Array<octave_idx_type>& ierr)
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1131 {
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	1132 octave_idx_type nr = x.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	1133 octave_idx_type nc = x.cols ();
3220 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 ComplexMatrix retval (nr, nc);
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1136
11574 a83bad07f7e3 attempt better backward compatibility for Array resize functions John W. Eaton <jwe@octave.org> parents: 11523 diff changeset	1137 ierr.resize (dim_vector (nr, nc));
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1138
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	1139 for (octave_idx_type j = 0; j < nc; j++)
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	1140 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	1141 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	1142
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1143 return retval;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1144 }
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1145
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1146 static inline ComplexMatrix
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1147 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	1148 bool scaled, Array<octave_idx_type>& ierr)
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1149 {
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	1150 octave_idx_type nr = alpha.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	1151 octave_idx_type nc = alpha.cols ();
3220 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 ComplexMatrix retval (nr, nc);
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1154
11574 a83bad07f7e3 attempt better backward compatibility for Array resize functions John W. Eaton <jwe@octave.org> parents: 11523 diff changeset	1155 ierr.resize (dim_vector (nr, nc));
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1156
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	1157 for (octave_idx_type j = 0; j < nc; j++)
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	1158 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	1159 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	1160
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	1161 return retval;
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	1162 }
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	1163
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1164 static inline ComplexMatrix
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1165 do_bessel (dptr f, const char *fn, const Matrix& alpha,
10352 a3635bc1ea19 remove Array2 Jaroslav Hajek <highegg@gmail.com> parents: 10314 diff changeset	1166 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	1167 {
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1168 ComplexMatrix retval;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1169
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	1170 octave_idx_type x_nr = x.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	1171 octave_idx_type x_nc = x.cols ();
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1172
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	1173 octave_idx_type alpha_nr = alpha.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	1174 octave_idx_type alpha_nc = alpha.cols ();
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1175
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1176 if (x_nr == alpha_nr && x_nc == alpha_nc)
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 nr = x_nr;
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	1179 octave_idx_type nc = x_nc;
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1180
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1181 retval.resize (nr, nc);
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1182
11574 a83bad07f7e3 attempt better backward compatibility for Array resize functions John W. Eaton <jwe@octave.org> parents: 11523 diff changeset	1183 ierr.resize (dim_vector (nr, nc));
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1184
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	1185 for (octave_idx_type j = 0; j < nc; j++)
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1186 for (octave_idx_type i = 0; i < nr; i++)
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1187 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	1188 }
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1189 else
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1190 (*current_liboctave_error_handler)
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1191 ("%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	1192
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1193 return retval;
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	1194 }
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	1195
4844 9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1196 static inline ComplexNDArray
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1197 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	1198 bool scaled, Array<octave_idx_type>& ierr)
4844 9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1199 {
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1200 dim_vector dv = x.dims ();
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	1201 octave_idx_type nel = dv.numel ();
4844 9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1202 ComplexNDArray retval (dv);
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1203
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1204 ierr.resize (dv);
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1205
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	1206 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	1207 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	1208
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1209 return retval;
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1210 }
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 static inline ComplexNDArray
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1213 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	1214 bool scaled, Array<octave_idx_type>& ierr)
4844 9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1215 {
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1216 dim_vector dv = alpha.dims ();
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	1217 octave_idx_type nel = dv.numel ();
4844 9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1218 ComplexNDArray retval (dv);
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 ierr.resize (dv);
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1221
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	1222 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	1223 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	1224
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1225 return retval;
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1226 }
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1227
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1228 static inline ComplexNDArray
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1229 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	1230 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	1231 {
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1232 dim_vector dv = x.dims ();
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1233 ComplexNDArray 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 if (dv == alpha.dims ())
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1236 {
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	1237 octave_idx_type nel = dv.numel ();
4844 9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1238
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1239 retval.resize (dv);
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1240 ierr.resize (dv);
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1241
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	1242 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	1243 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	1244 }
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1245 else
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1246 (*current_liboctave_error_handler)
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1247 ("%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	1248
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1249 return retval;
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1250 }
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1251
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1252 static inline ComplexMatrix
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1253 do_bessel (dptr f, const char *, const RowVector& alpha,
10352 a3635bc1ea19 remove Array2 Jaroslav Hajek <highegg@gmail.com> parents: 10314 diff changeset	1254 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	1255 {
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	1256 octave_idx_type nr = x.length ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	1257 octave_idx_type nc = alpha.length ();
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1258
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1259 ComplexMatrix retval (nr, nc);
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	1260
11574 a83bad07f7e3 attempt better backward compatibility for Array resize functions John W. Eaton <jwe@octave.org> parents: 11523 diff changeset	1261 ierr.resize (dim_vector (nr, nc));
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1262
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	1263 for (octave_idx_type j = 0; j < nc; j++)
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	1264 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	1265 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	1266
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1267 return retval;
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	1268 }
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	1269
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1270 #define SS_BESSEL(name, fcn) \
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1271 Complex \
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	1272 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	1273 { \
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1274 return do_bessel (fcn, #name, alpha, x, scaled, ierr); \
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1275 }
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1276
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1277 #define SM_BESSEL(name, fcn) \
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1278 ComplexMatrix \
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1279 name (double alpha, const ComplexMatrix& x, bool scaled, \
10352 a3635bc1ea19 remove Array2 Jaroslav Hajek <highegg@gmail.com> parents: 10314 diff changeset	1280 Array<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 MS_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 (const Matrix& alpha, const Complex& 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 MM_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 ComplexMatrix& 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
4844 9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1301 #define SN_BESSEL(name, fcn) \
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1302 ComplexNDArray \
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1303 name (double alpha, const ComplexNDArray& x, bool scaled, \
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1304 Array<octave_idx_type>& ierr) \
4844 9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1305 { \
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1306 return do_bessel (fcn, #name, alpha, x, scaled, ierr); \
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1307 }
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1308
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1309 #define NS_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 (const NDArray& alpha, const Complex& 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 NN_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 ComplexNDArray& 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
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1325 #define RC_BESSEL(name, fcn) \
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1326 ComplexMatrix \
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1327 name (const RowVector& alpha, const ComplexColumnVector& x, bool scaled, \
10352 a3635bc1ea19 remove Array2 Jaroslav Hajek <highegg@gmail.com> parents: 10314 diff changeset	1328 Array<octave_idx_type>& ierr) \
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1329 { \
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1330 return do_bessel (fcn, #name, alpha, x, scaled, ierr); \
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1331 }
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1332
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1333 #define ALL_BESSEL(name, fcn) \
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1334 SS_BESSEL (name, fcn) \
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1335 SM_BESSEL (name, fcn) \
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1336 MS_BESSEL (name, fcn) \
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1337 MM_BESSEL (name, fcn) \
4844 9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1338 SN_BESSEL (name, fcn) \
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1339 NS_BESSEL (name, fcn) \
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	1340 NN_BESSEL (name, fcn) \
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1341 RC_BESSEL (name, fcn)
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1342
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1343 ALL_BESSEL (besselj, zbesj)
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1344 ALL_BESSEL (bessely, zbesy)
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1345 ALL_BESSEL (besseli, zbesi)
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1346 ALL_BESSEL (besselk, zbesk)
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1347 ALL_BESSEL (besselh1, zbesh1)
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1348 ALL_BESSEL (besselh2, zbesh2)
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1349
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1350 #undef ALL_BESSEL
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1351 #undef SS_BESSEL
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1352 #undef SM_BESSEL
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1353 #undef MS_BESSEL
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1354 #undef MM_BESSEL
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1355 #undef SN_BESSEL
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1356 #undef NS_BESSEL
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1357 #undef NN_BESSEL
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1358 #undef RC_BESSEL
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1359
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1360 static inline FloatComplex
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1361 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	1362
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1363 static inline FloatComplex
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1364 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	1365
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1366 static inline FloatComplex
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1367 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	1368
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1369 static inline FloatComplex
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1370 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	1371
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1372 static inline FloatComplex
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1373 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	1374
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1375 static inline FloatComplex
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1376 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	1377
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1378 static inline FloatComplex
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1379 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	1380 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1381 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	1382 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	1383
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1384 FloatComplex retval;
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 switch (ierr)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1387 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1388 case 0:
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1389 case 3:
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1390 retval = val;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1391 break;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1392
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1393 case 2:
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1394 retval = inf_val;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1395 break;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1396
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1397 default:
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1398 retval = nan_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
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1402 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1403 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1404
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1405 static inline bool
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1406 is_integer_value (float x)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1407 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1408 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	1409 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1410
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1411 static inline FloatComplex
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1412 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	1413 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1414 FloatComplex retval;
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 if (alpha >= 0.0)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1417 {
8279 b3734f1cb592 lo-specfun.cc: fix prototypes and calls to cbes{h,i,j,k,y} subroutines John W. Eaton <jwe@octave.org> parents: 8278 diff changeset	1418 FloatComplex y = 0.0;
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1419
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1420 octave_idx_type nz;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1421
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	1422 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	1423
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1424 if (kode != 2)
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1425 {
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1426 float expz = exp (std::abs (imag (z)));
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1427 y *= expz;
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1428 }
7789 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 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	1431 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	1432
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	1433 retval = bessel_return_value (y, ierr);
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1434 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1435 else if (is_integer_value (alpha))
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1436 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1437 // 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	1438 alpha = -alpha;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1439 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	1440 if ((static_cast <long> (alpha)) & 1)
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1441 tmp = - tmp;
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1442 retval = bessel_return_value (tmp, ierr);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1443 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1444 else
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1445 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1446 alpha = -alpha;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1447
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1448 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	1449
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1450 if (ierr == 0 \|\| ierr == 3)
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1451 {
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1452 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	1453
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1454 retval = bessel_return_value (tmp, ierr);
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1455 }
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1456 else
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1457 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	1458 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1459
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1460 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1461 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1462
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1463 static inline FloatComplex
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1464 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	1465 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1466 FloatComplex retval;
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 if (alpha >= 0.0)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1469 {
8279 b3734f1cb592 lo-specfun.cc: fix prototypes and calls to cbes{h,i,j,k,y} subroutines John W. Eaton <jwe@octave.org> parents: 8278 diff changeset	1470 FloatComplex y = 0.0;
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1471
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1472 octave_idx_type nz;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1473
8279 b3734f1cb592 lo-specfun.cc: fix prototypes and calls to cbes{h,i,j,k,y} subroutines John W. Eaton <jwe@octave.org> parents: 8278 diff changeset	1474 FloatComplex w;
7789 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 ierr = 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 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	1479 {
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1480 y = FloatComplex (-octave_Float_Inf, 0.0);
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1481 }
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1482 else
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1483 {
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1484 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	1485
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1486 if (kode != 2)
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 float expz = exp (std::abs (imag (z)));
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1489 y *= expz;
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1490 }
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1491
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1492 if (imag (z) == 0.0 && real (z) >= 0.0)
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1493 y = FloatComplex (y.real (), 0.0);
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1494 }
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1495
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	1496 return bessel_return_value (y, ierr);
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1497 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1498 else if (is_integer_value (alpha - 0.5))
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1499 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1500 // 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	1501 alpha = -alpha;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1502 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	1503 if ((static_cast <long> (alpha - 0.5)) & 1)
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1504 tmp = - tmp;
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1505 retval = bessel_return_value (tmp, ierr);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1506 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1507 else
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1508 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1509 alpha = -alpha;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1510
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1511 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	1512
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1513 if (ierr == 0 \|\| ierr == 3)
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1514 {
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1515 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	1516
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1517 retval = bessel_return_value (tmp, ierr);
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1518 }
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1519 else
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1520 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	1521 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1522
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1523 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1524 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1525
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1526 static inline FloatComplex
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1527 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	1528 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1529 FloatComplex retval;
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 if (alpha >= 0.0)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1532 {
8279 b3734f1cb592 lo-specfun.cc: fix prototypes and calls to cbes{h,i,j,k,y} subroutines John W. Eaton <jwe@octave.org> parents: 8278 diff changeset	1533 FloatComplex y = 0.0;
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1534
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1535 octave_idx_type nz;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1536
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	1537 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	1538
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1539 if (kode != 2)
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1540 {
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1541 float expz = exp (std::abs (real (z)));
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1542 y *= expz;
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1543 }
7789 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 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	1546 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	1547
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	1548 retval = bessel_return_value (y, ierr);
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1549 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1550 else
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1551 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1552 alpha = -alpha;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1553
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1554 FloatComplex tmp = cbesi (z, alpha, kode, ierr);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1555
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1556 if (ierr == 0 \|\| ierr == 3)
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1557 {
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1558 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	1559 * cbesk (z, alpha, kode, ierr);
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11574 diff changeset	1560
12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11574 diff changeset	1561 if (kode == 2)
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1562 {
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1563 // 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	1564 tmp2 *= exp (-z - std::abs (z.real ()));
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
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1567 tmp += tmp2;
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1568
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1569 retval = bessel_return_value (tmp, ierr);
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1570 }
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1571 else
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1572 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	1573 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1574
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1575 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1576 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1577
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1578 static inline FloatComplex
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1579 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	1580 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1581 FloatComplex retval;
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 if (alpha >= 0.0)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1584 {
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	1585 FloatComplex y = 0.0;
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1586
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1587 octave_idx_type nz;
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 ierr = 0;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1590
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	1591 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	1592 {
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1593 y = FloatComplex (octave_Float_Inf, 0.0);
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1594 }
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1595 else
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1596 {
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1597 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	1598
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1599 if (kode != 2)
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 FloatComplex expz = exp (-z);
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1602
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1603 float rexpz = real (expz);
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1604 float iexpz = imag (expz);
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1605
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1606 float tmp_r = real (y) * rexpz - imag (y) * iexpz;
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1607 float tmp_i = real (y) * iexpz + imag (y) * rexpz;
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 y = FloatComplex (tmp_r, tmp_i);
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
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1612 if (imag (z) == 0.0 && real (z) >= 0.0)
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1613 y = FloatComplex (y.real (), 0.0);
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1614 }
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1615
8279 b3734f1cb592 lo-specfun.cc: fix prototypes and calls to cbes{h,i,j,k,y} subroutines John W. Eaton <jwe@octave.org> parents: 8278 diff changeset	1616 retval = bessel_return_value (y, ierr);
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1617 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1618 else
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1619 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1620 FloatComplex tmp = cbesk (z, -alpha, kode, ierr);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1621
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1622 retval = bessel_return_value (tmp, ierr);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1623 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1624
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1625 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1626 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1627
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1628 static inline FloatComplex
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1629 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	1630 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1631 FloatComplex retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1632
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1633 if (alpha >= 0.0)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1634 {
8279 b3734f1cb592 lo-specfun.cc: fix prototypes and calls to cbes{h,i,j,k,y} subroutines John W. Eaton <jwe@octave.org> parents: 8278 diff changeset	1635 FloatComplex y = 0.0;
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1636
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1637 octave_idx_type nz;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1638
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	1639 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	1640
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1641 if (kode != 2)
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1642 {
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1643 FloatComplex expz = exp (FloatComplex (0.0, 1.0) * z);
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1644
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1645 float rexpz = real (expz);
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1646 float iexpz = imag (expz);
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1647
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1648 float tmp_r = real (y) * rexpz - imag (y) * iexpz;
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1649 float tmp_i = real (y) * iexpz + imag (y) * rexpz;
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 y = FloatComplex (tmp_r, tmp_i);
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1652 }
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1653
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	1654 retval = bessel_return_value (y, ierr);
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1655 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1656 else
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1657 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1658 alpha = -alpha;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1659
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1660 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	1661
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1662 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	1663
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1664 retval = bessel_return_value (tmp, ierr);
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
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1667 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1668 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1669
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1670 static inline FloatComplex
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1671 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	1672 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1673 FloatComplex retval;
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 if (alpha >= 0.0)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1676 {
8279 b3734f1cb592 lo-specfun.cc: fix prototypes and calls to cbes{h,i,j,k,y} subroutines John W. Eaton <jwe@octave.org> parents: 8278 diff changeset	1677 FloatComplex y = 0.0;
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1678
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1679 octave_idx_type nz;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1680
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	1681 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	1682
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1683 if (kode != 2)
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1684 {
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1685 FloatComplex expz = exp (-FloatComplex (0.0, 1.0) * z);
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1686
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1687 float rexpz = real (expz);
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1688 float iexpz = imag (expz);
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1689
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1690 float tmp_r = real (y) * rexpz - imag (y) * iexpz;
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1691 float tmp_i = real (y) * iexpz + imag (y) * rexpz;
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 y = FloatComplex (tmp_r, tmp_i);
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1694 }
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1695
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	1696 retval = bessel_return_value (y, ierr);
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1697 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1698 else
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1699 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1700 alpha = -alpha;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1701
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1702 static const FloatComplex eye = FloatComplex (0.0, 1.0);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1703
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1704 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	1705
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1706 retval = bessel_return_value (tmp, ierr);
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
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1709 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1710 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1711
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1712 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	1713
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1714 static inline FloatComplex
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1715 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	1716 bool scaled, octave_idx_type& ierr)
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1717 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1718 FloatComplex retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1719
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1720 retval = f (x, alpha, (scaled ? 2 : 1), ierr);
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 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1723 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1724
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1725 static inline FloatComplexMatrix
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1726 do_bessel (fptr f, const char *, float alpha, const FloatComplexMatrix& x,
10352 a3635bc1ea19 remove Array2 Jaroslav Hajek <highegg@gmail.com> parents: 10314 diff changeset	1727 bool scaled, Array<octave_idx_type>& ierr)
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1728 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1729 octave_idx_type nr = x.rows ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1730 octave_idx_type nc = x.cols ();
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 FloatComplexMatrix retval (nr, nc);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1733
11574 a83bad07f7e3 attempt better backward compatibility for Array resize functions John W. Eaton <jwe@octave.org> parents: 11523 diff changeset	1734 ierr.resize (dim_vector (nr, nc));
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1735
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1736 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	1737 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	1738 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	1739
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1740 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1741 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1742
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1743 static inline FloatComplexMatrix
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1744 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	1745 bool scaled, Array<octave_idx_type>& ierr)
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1746 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1747 octave_idx_type nr = alpha.rows ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1748 octave_idx_type nc = alpha.cols ();
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 FloatComplexMatrix retval (nr, nc);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1751
11574 a83bad07f7e3 attempt better backward compatibility for Array resize functions John W. Eaton <jwe@octave.org> parents: 11523 diff changeset	1752 ierr.resize (dim_vector (nr, nc));
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1753
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1754 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	1755 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	1756 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	1757
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1758 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1759 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1760
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1761 static inline FloatComplexMatrix
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1762 do_bessel (fptr f, const char *fn, const FloatMatrix& alpha,
10352 a3635bc1ea19 remove Array2 Jaroslav Hajek <highegg@gmail.com> parents: 10314 diff changeset	1763 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	1764 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1765 FloatComplexMatrix retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1766
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1767 octave_idx_type x_nr = x.rows ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1768 octave_idx_type x_nc = x.cols ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1769
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1770 octave_idx_type alpha_nr = alpha.rows ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1771 octave_idx_type alpha_nc = alpha.cols ();
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 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	1774 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1775 octave_idx_type nr = x_nr;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1776 octave_idx_type nc = x_nc;
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 retval.resize (nr, nc);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1779
11574 a83bad07f7e3 attempt better backward compatibility for Array resize functions John W. Eaton <jwe@octave.org> parents: 11523 diff changeset	1780 ierr.resize (dim_vector (nr, nc));
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1781
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1782 for (octave_idx_type j = 0; j < nc; j++)
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1783 for (octave_idx_type i = 0; i < nr; i++)
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1784 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	1785 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1786 else
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1787 (*current_liboctave_error_handler)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1788 ("%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	1789
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1790 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1791 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1792
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1793 static inline FloatComplexNDArray
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1794 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	1795 bool scaled, Array<octave_idx_type>& ierr)
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1796 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1797 dim_vector dv = x.dims ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1798 octave_idx_type nel = dv.numel ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1799 FloatComplexNDArray retval (dv);
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 ierr.resize (dv);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1802
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1803 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	1804 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	1805
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1806 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1807 }
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 static inline FloatComplexNDArray
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1810 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	1811 bool scaled, Array<octave_idx_type>& ierr)
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1812 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1813 dim_vector dv = alpha.dims ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1814 octave_idx_type nel = dv.numel ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1815 FloatComplexNDArray retval (dv);
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 ierr.resize (dv);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1818
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1819 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	1820 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	1821
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1822 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1823 }
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 static inline FloatComplexNDArray
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1826 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	1827 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	1828 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1829 dim_vector dv = x.dims ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1830 FloatComplexNDArray 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 if (dv == alpha.dims ())
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1833 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1834 octave_idx_type nel = dv.numel ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1835
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1836 retval.resize (dv);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1837 ierr.resize (dv);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1838
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1839 for (octave_idx_type i = 0; i < nel; i++)
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	1840 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	1841 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1842 else
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1843 (*current_liboctave_error_handler)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1844 ("%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	1845
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1846 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1847 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1848
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1849 static inline FloatComplexMatrix
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1850 do_bessel (fptr f, const char *, const FloatRowVector& alpha,
10352 a3635bc1ea19 remove Array2 Jaroslav Hajek <highegg@gmail.com> parents: 10314 diff changeset	1851 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	1852 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1853 octave_idx_type nr = x.length ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1854 octave_idx_type nc = alpha.length ();
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 FloatComplexMatrix retval (nr, nc);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1857
11574 a83bad07f7e3 attempt better backward compatibility for Array resize functions John W. Eaton <jwe@octave.org> parents: 11523 diff changeset	1858 ierr.resize (dim_vector (nr, nc));
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1859
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1860 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	1861 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	1862 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	1863
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1864 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1865 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1866
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1867 #define SS_BESSEL(name, fcn) \
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1868 FloatComplex \
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1869 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	1870 { \
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1871 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	1872 }
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 #define SM_BESSEL(name, fcn) \
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1875 FloatComplexMatrix \
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1876 name (float alpha, const FloatComplexMatrix& x, bool scaled, \
10352 a3635bc1ea19 remove Array2 Jaroslav Hajek <highegg@gmail.com> parents: 10314 diff changeset	1877 Array<octave_idx_type>& ierr) \
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1878 { \
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1879 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 MS_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 (const FloatMatrix& alpha, const FloatComplex& 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 MM_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 FloatComplexMatrix& 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 SN_BESSEL(name, fcn) \
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1899 FloatComplexNDArray \
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1900 name (float alpha, const FloatComplexNDArray& x, bool scaled, \
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 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 NS_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 (const FloatNDArray& alpha, const FloatComplex& 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 NN_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 FloatComplexNDArray& 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 RC_BESSEL(name, fcn) \
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1923 FloatComplexMatrix \
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1924 name (const FloatRowVector& alpha, const FloatComplexColumnVector& x, bool scaled, \
10352 a3635bc1ea19 remove Array2 Jaroslav Hajek <highegg@gmail.com> parents: 10314 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 ALL_BESSEL(name, fcn) \
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1931 SS_BESSEL (name, fcn) \
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1932 SM_BESSEL (name, fcn) \
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1933 MS_BESSEL (name, fcn) \
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1934 MM_BESSEL (name, fcn) \
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1935 SN_BESSEL (name, fcn) \
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1936 NS_BESSEL (name, fcn) \
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1937 NN_BESSEL (name, fcn) \
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1938 RC_BESSEL (name, fcn)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1939
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1940 ALL_BESSEL (besselj, cbesj)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1941 ALL_BESSEL (bessely, cbesy)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1942 ALL_BESSEL (besseli, cbesi)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1943 ALL_BESSEL (besselk, cbesk)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1944 ALL_BESSEL (besselh1, cbesh1)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1945 ALL_BESSEL (besselh2, cbesh2)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1946
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1947 #undef ALL_BESSEL
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1948 #undef SS_BESSEL
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1949 #undef SM_BESSEL
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1950 #undef MS_BESSEL
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1951 #undef MM_BESSEL
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1952 #undef SN_BESSEL
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1953 #undef NS_BESSEL
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1954 #undef NN_BESSEL
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1955 #undef RC_BESSEL
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	1956
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1957 Complex
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	1958 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	1959 {
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1960 double ar = 0.0;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1961 double ai = 0.0;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1962
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	1963 octave_idx_type nz;
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1964
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1965 double zr = z.real ();
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1966 double zi = z.imag ();
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	1967
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	1968 octave_idx_type id = deriv ? 1 : 0;
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1969
4506 3c82fc8f822c [project @ 2003-09-10 13:56:57 by jwe] jwe parents: 4497 diff changeset	1970 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	1971
3c82fc8f822c [project @ 2003-09-10 13:56:57 by jwe] jwe parents: 4497 diff changeset	1972 if (! scaled)
3c82fc8f822c [project @ 2003-09-10 13:56:57 by jwe] jwe parents: 4497 diff changeset	1973 {
15018 3d8ace26c5b4 maint: Use Octave coding conventions for cuddled parentheses in liboctave/. Rik <rik@octave.org> parents: 14847 diff changeset	1974 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	1975
4506 3c82fc8f822c [project @ 2003-09-10 13:56:57 by jwe] jwe parents: 4497 diff changeset	1976 double rexpz = real (expz);
3c82fc8f822c [project @ 2003-09-10 13:56:57 by jwe] jwe parents: 4497 diff changeset	1977 double iexpz = imag (expz);
3c82fc8f822c [project @ 2003-09-10 13:56:57 by jwe] jwe parents: 4497 diff changeset	1978
3c82fc8f822c [project @ 2003-09-10 13:56:57 by jwe] jwe parents: 4497 diff changeset	1979 double tmp = arrexpz - aiiexpz;
3c82fc8f822c [project @ 2003-09-10 13:56:57 by jwe] jwe parents: 4497 diff changeset	1980
3c82fc8f822c [project @ 2003-09-10 13:56:57 by jwe] jwe parents: 4497 diff changeset	1981 ai = ariexpz + airexpz;
3c82fc8f822c [project @ 2003-09-10 13:56:57 by jwe] jwe parents: 4497 diff changeset	1982 ar = tmp;
3c82fc8f822c [project @ 2003-09-10 13:56:57 by jwe] jwe parents: 4497 diff changeset	1983 }
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1984
4490 1aed172ab84a [project @ 2003-08-28 19:03:06 by jwe] jwe parents: 4180 diff changeset	1985 if (zi == 0.0 && (! scaled \|\| zr >= 0.0))
3225 7aae2c3636a7 [project @ 1998-12-04 23:20:12 by jwe] jwe parents: 3220 diff changeset	1986 ai = 0.0;
7aae2c3636a7 [project @ 1998-12-04 23:20:12 by jwe] jwe parents: 3220 diff changeset	1987
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1988 return bessel_return_value (Complex (ar, ai), ierr);
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	1989 }
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	1990
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1991 Complex
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	1992 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	1993 {
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1994 double ar = 0.0;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1995 double ai = 0.0;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1996
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1997 double zr = z.real ();
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1998 double zi = z.imag ();
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	1999
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	2000 octave_idx_type id = deriv ? 1 : 0;
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	2001
4506 3c82fc8f822c [project @ 2003-09-10 13:56:57 by jwe] jwe parents: 4497 diff changeset	2002 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	2003
3c82fc8f822c [project @ 2003-09-10 13:56:57 by jwe] jwe parents: 4497 diff changeset	2004 if (! scaled)
3c82fc8f822c [project @ 2003-09-10 13:56:57 by jwe] jwe parents: 4497 diff changeset	2005 {
3c82fc8f822c [project @ 2003-09-10 13:56:57 by jwe] jwe parents: 4497 diff changeset	2006 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	2007
4506 3c82fc8f822c [project @ 2003-09-10 13:56:57 by jwe] jwe parents: 4497 diff changeset	2008 double rexpz = real (expz);
3c82fc8f822c [project @ 2003-09-10 13:56:57 by jwe] jwe parents: 4497 diff changeset	2009 double iexpz = imag (expz);
3c82fc8f822c [project @ 2003-09-10 13:56:57 by jwe] jwe parents: 4497 diff changeset	2010
3c82fc8f822c [project @ 2003-09-10 13:56:57 by jwe] jwe parents: 4497 diff changeset	2011 double tmp = arrexpz - aiiexpz;
3c82fc8f822c [project @ 2003-09-10 13:56:57 by jwe] jwe parents: 4497 diff changeset	2012
3c82fc8f822c [project @ 2003-09-10 13:56:57 by jwe] jwe parents: 4497 diff changeset	2013 ai = ariexpz + airexpz;
3c82fc8f822c [project @ 2003-09-10 13:56:57 by jwe] jwe parents: 4497 diff changeset	2014 ar = tmp;
3c82fc8f822c [project @ 2003-09-10 13:56:57 by jwe] jwe parents: 4497 diff changeset	2015 }
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	2016
4490 1aed172ab84a [project @ 2003-08-28 19:03:06 by jwe] jwe parents: 4180 diff changeset	2017 if (zi == 0.0 && (! scaled \|\| zr >= 0.0))
3225 7aae2c3636a7 [project @ 1998-12-04 23:20:12 by jwe] jwe parents: 3220 diff changeset	2018 ai = 0.0;
7aae2c3636a7 [project @ 1998-12-04 23:20:12 by jwe] jwe parents: 3220 diff changeset	2019
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	2020 return bessel_return_value (Complex (ar, ai), ierr);
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2021 }
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2022
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	2023 ComplexMatrix
10352 a3635bc1ea19 remove Array2 Jaroslav Hajek <highegg@gmail.com> parents: 10314 diff changeset	2024 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	2025 {
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	2026 octave_idx_type nr = z.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	2027 octave_idx_type nc = z.cols ();
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	2028
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	2029 ComplexMatrix retval (nr, nc);
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	2030
11574 a83bad07f7e3 attempt better backward compatibility for Array resize functions John W. Eaton <jwe@octave.org> parents: 11523 diff changeset	2031 ierr.resize (dim_vector (nr, nc));
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	2032
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	2033 for (octave_idx_type j = 0; j < nc; j++)
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	2034 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	2035 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	2036
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	2037 return retval;
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2038 }
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2039
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	2040 ComplexMatrix
10352 a3635bc1ea19 remove Array2 Jaroslav Hajek <highegg@gmail.com> parents: 10314 diff changeset	2041 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	2042 {
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	2043 octave_idx_type nr = z.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	2044 octave_idx_type nc = z.cols ();
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	2045
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	2046 ComplexMatrix retval (nr, nc);
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	2047
11574 a83bad07f7e3 attempt better backward compatibility for Array resize functions John W. Eaton <jwe@octave.org> parents: 11523 diff changeset	2048 ierr.resize (dim_vector (nr, nc));
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	2049
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	2050 for (octave_idx_type j = 0; j < nc; j++)
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	2051 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	2052 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	2053
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3164 diff changeset	2054 return retval;
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2055 }
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2056
4844 9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2057 ComplexNDArray
9732 b4fdfee405b5 remove ArrayN<T> + fix nonhom. diag-scalar ops Jaroslav Hajek <highegg@gmail.com> parents: 8920 diff changeset	2058 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	2059 {
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2060 dim_vector dv = z.dims ();
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	2061 octave_idx_type nel = dv.numel ();
4844 9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2062 ComplexNDArray retval (dv);
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2063
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2064 ierr.resize (dv);
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2065
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	2066 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	2067 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	2068
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2069 return retval;
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2070 }
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2071
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2072 ComplexNDArray
9732 b4fdfee405b5 remove ArrayN<T> + fix nonhom. diag-scalar ops Jaroslav Hajek <highegg@gmail.com> parents: 8920 diff changeset	2073 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	2074 {
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2075 dim_vector dv = z.dims ();
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	2076 octave_idx_type nel = dv.numel ();
4844 9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2077 ComplexNDArray retval (dv);
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 ierr.resize (dv);
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2080
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	2081 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	2082 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	2083
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2084 return retval;
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2085 }
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2086
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2087 FloatComplex
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2088 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	2089 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2090 float ar = 0.0;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2091 float ai = 0.0;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2092
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2093 octave_idx_type nz;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2094
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2095 float zr = z.real ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2096 float zi = z.imag ();
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 octave_idx_type id = deriv ? 1 : 0;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2099
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2100 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	2101
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2102 if (! scaled)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2103 {
15018 3d8ace26c5b4 maint: Use Octave coding conventions for cuddled parentheses in liboctave/. Rik <rik@octave.org> parents: 14847 diff changeset	2104 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	2105
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2106 float rexpz = real (expz);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2107 float iexpz = imag (expz);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2108
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2109 float tmp = arrexpz - aiiexpz;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2110
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2111 ai = ariexpz + airexpz;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2112 ar = tmp;
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
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2115 if (zi == 0.0 && (! scaled \|\| zr >= 0.0))
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2116 ai = 0.0;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2117
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2118 return bessel_return_value (FloatComplex (ar, ai), ierr);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2119 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2120
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2121 FloatComplex
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2122 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	2123 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2124 float ar = 0.0;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2125 float ai = 0.0;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2126
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2127 float zr = z.real ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2128 float zi = z.imag ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2129
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2130 octave_idx_type id = deriv ? 1 : 0;
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 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	2133
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2134 if (! scaled)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2135 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2136 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	2137
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2138 float rexpz = real (expz);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2139 float iexpz = imag (expz);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2140
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2141 float tmp = arrexpz - aiiexpz;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2142
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2143 ai = ariexpz + airexpz;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2144 ar = tmp;
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
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2147 if (zi == 0.0 && (! scaled \|\| zr >= 0.0))
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2148 ai = 0.0;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2149
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2150 return bessel_return_value (FloatComplex (ar, ai), ierr);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2151 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2152
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2153 FloatComplexMatrix
10352 a3635bc1ea19 remove Array2 Jaroslav Hajek <highegg@gmail.com> parents: 10314 diff changeset	2154 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	2155 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2156 octave_idx_type nr = z.rows ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2157 octave_idx_type nc = z.cols ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2158
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2159 FloatComplexMatrix retval (nr, nc);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2160
11574 a83bad07f7e3 attempt better backward compatibility for Array resize functions John W. Eaton <jwe@octave.org> parents: 11523 diff changeset	2161 ierr.resize (dim_vector (nr, nc));
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2162
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2163 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	2164 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	2165 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	2166
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2167 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2168 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2169
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2170 FloatComplexMatrix
10352 a3635bc1ea19 remove Array2 Jaroslav Hajek <highegg@gmail.com> parents: 10314 diff changeset	2171 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	2172 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2173 octave_idx_type nr = z.rows ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2174 octave_idx_type nc = z.cols ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2175
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2176 FloatComplexMatrix retval (nr, nc);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2177
11574 a83bad07f7e3 attempt better backward compatibility for Array resize functions John W. Eaton <jwe@octave.org> parents: 11523 diff changeset	2178 ierr.resize (dim_vector (nr, nc));
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2179
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2180 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	2181 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	2182 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	2183
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2184 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2185 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2186
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2187 FloatComplexNDArray
9732 b4fdfee405b5 remove ArrayN<T> + fix nonhom. diag-scalar ops Jaroslav Hajek <highegg@gmail.com> parents: 8920 diff changeset	2188 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	2189 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2190 dim_vector dv = z.dims ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2191 octave_idx_type nel = dv.numel ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2192 FloatComplexNDArray retval (dv);
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 ierr.resize (dv);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2195
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2196 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	2197 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	2198
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2199 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2200 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2201
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2202 FloatComplexNDArray
9732 b4fdfee405b5 remove ArrayN<T> + fix nonhom. diag-scalar ops Jaroslav Hajek <highegg@gmail.com> parents: 8920 diff changeset	2203 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	2204 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2205 dim_vector dv = z.dims ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2206 octave_idx_type nel = dv.numel ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2207 FloatComplexNDArray retval (dv);
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 ierr.resize (dv);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2210
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2211 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	2212 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	2213
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2214 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2215 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2216
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2217 static void
4844 9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2218 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	2219 const dim_vector& d3)
4844 9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2220 {
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2221 std::string d1_str = d1.str ();
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2222 std::string d2_str = d2.str ();
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2223 std::string d3_str = d3.str ();
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2224
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2225 (*current_liboctave_error_handler)
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2226 ("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	2227 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	2228 }
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2229
14816 0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	2230 static void
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	2231 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	2232 const dim_vector& d3)
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	2233 {
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	2234 std::string d1_str = d1.str ();
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	2235 std::string d2_str = d2.str ();
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	2236 std::string d3_str = d3.str ();
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	2237
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	2238 (*current_liboctave_error_handler)
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	2239 ("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	2240 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	2241 }
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	2242
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2243 double
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2244 betainc (double x, double a, double b)
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2245 {
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2246 double retval;
5700 67118c88cee7 [project @ 2006-03-21 17:31:45 by jwe] jwe parents: 5307 diff changeset	2247 F77_XFCN (xdbetai, XDBETAI, (x, a, b, retval));
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2248 return retval;
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2249 }
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2250
14815 95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2251 Array<double>
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2252 betainc (double x, double a, const Array<double>& b)
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2253 {
14815 95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2254 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	2255 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	2256
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2257 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	2258
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2259 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	2260
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2261 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	2262 *pretval++ = betainc (x, a, b(i));
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2263
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2264 return retval;
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2265 }
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2266
14815 95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2267 Array<double>
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2268 betainc (double x, const Array<double>& a, double b)
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2269 {
14815 95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2270 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	2271 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	2272
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2273 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	2274
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2275 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	2276
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2277 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	2278 *pretval++ = betainc (x, a(i), b);
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2279
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2280 return retval;
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2281 }
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2282
14815 95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2283 Array<double>
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2284 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	2285 {
14815 95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2286 Array<double> retval;
4844 9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2287 dim_vector dv = a.dims ();
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2288
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2289 if (dv == b.dims ())
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2290 {
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2291 octave_idx_type nel = dv.numel ();
4844 9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2292
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2293 retval.resize (dv);
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2294
14815 95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2295 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	2296
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2297 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	2298 *pretval++ = betainc (x, a(i), b(i));
4844 9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2299 }
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2300 else
10258 e317791645c4 64-bit fixes John W. Eaton <jwe@octave.org> parents: 10158 diff changeset	2301 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	2302
4844 9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2303 return retval;
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2304 }
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2305
14815 95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2306 Array<double>
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2307 betainc (const Array<double>& x, double a, double b)
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2308 {
14815 95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2309 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	2310 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	2311
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2312 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	2313
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2314 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	2315
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2316 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	2317 *pretval++ = betainc (x(i), a, b);
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2318
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2319 return retval;
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2320 }
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2321
14815 95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2322 Array<double>
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2323 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	2324 {
14815 95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2325 Array<double> retval;
4844 9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2326 dim_vector dv = x.dims ();
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2327
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2328 if (dv == b.dims ())
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2329 {
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2330 octave_idx_type nel = dv.numel ();
4844 9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2331
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2332 retval.resize (dv);
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2333
14815 95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2334 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	2335
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2336 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	2337 *pretval++ = betainc (x(i), a, b(i));
4844 9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2338 }
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2339 else
10258 e317791645c4 64-bit fixes John W. Eaton <jwe@octave.org> parents: 10158 diff changeset	2340 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	2341
4844 9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2342 return retval;
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2343 }
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2344
14815 95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2345 Array<double>
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2346 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	2347 {
14815 95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2348 Array<double> retval;
4844 9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2349 dim_vector dv = x.dims ();
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2350
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2351 if (dv == a.dims ())
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2352 {
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2353 octave_idx_type nel = dv.numel ();
4844 9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2354
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2355 retval.resize (dv);
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2356
14815 95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2357 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	2358
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2359 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	2360 *pretval++ = betainc (x(i), a(i), b);
4844 9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2361 }
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2362 else
10258 e317791645c4 64-bit fixes John W. Eaton <jwe@octave.org> parents: 10158 diff changeset	2363 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	2364
4844 9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2365 return retval;
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2366 }
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2367
14815 95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2368 Array<double>
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2369 betainc (const Array<double>& x, const Array<double>& a, const Array<double>& b)
4844 9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2370 {
14815 95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2371 Array<double> retval;
4844 9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2372 dim_vector dv = x.dims ();
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2373
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2374 if (dv == a.dims () && dv == b.dims ())
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2375 {
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2376 octave_idx_type nel = dv.numel ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2377
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2378 retval.resize (dv);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2379
14815 95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2380 double *pretval = retval.fortran_vec ();
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2381
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2382 for (octave_idx_type i = 0; i < nel; i++)
14815 95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2383 *pretval++ = betainc (x(i), a(i), b(i));
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2384 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2385 else
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2386 gripe_betainc_nonconformant (dv, a.dims (), b.dims ());
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2387
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2388 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2389 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2390
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2391 float
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2392 betainc (float x, float a, float b)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2393 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2394 float retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2395 F77_XFCN (xbetai, XBETAI, (x, a, b, retval));
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
14815 95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2399 Array<float>
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2400 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	2401 {
14815 95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2402 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	2403 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	2404
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2405 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	2406
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2407 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	2408
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2409 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	2410 *pretval++ = betainc (x, a, b(i));
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2411
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2412 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2413 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2414
14815 95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2415 Array<float>
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2416 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	2417 {
14815 95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2418 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	2419 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	2420
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2421 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	2422
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2423 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	2424
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2425 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	2426 *pretval++ = betainc (x, a(i), b);
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2427
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2428 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2429 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2430
14815 95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2431 Array<float>
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2432 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	2433 {
14815 95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2434 Array<float> retval;
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2435 dim_vector dv = a.dims ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2436
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2437 if (dv == b.dims ())
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2438 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2439 octave_idx_type nel = dv.numel ();
4844 9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2440
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2441 retval.resize (dv);
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2442
14815 95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2443 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	2444
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2445 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	2446 *pretval++ = betainc (x, a(i), b(i));
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2447 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2448 else
10258 e317791645c4 64-bit fixes John W. Eaton <jwe@octave.org> parents: 10158 diff changeset	2449 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	2450
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2451 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2452 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2453
14815 95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2454 Array<float>
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2455 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	2456 {
14815 95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2457 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	2458 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	2459
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2460 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	2461
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2462 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	2463
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2464 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	2465 *pretval++ = betainc (x(i), a, b);
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2466
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2467 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2468 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2469
14815 95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2470 Array<float>
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2471 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	2472 {
14815 95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2473 Array<float> retval;
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2474 dim_vector dv = x.dims ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2475
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2476 if (dv == b.dims ())
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2477 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2478 octave_idx_type nel = dv.numel ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2479
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2480 retval.resize (dv);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2481
14815 95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2482 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	2483
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2484 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	2485 *pretval++ = betainc (x(i), a, b(i));
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2486 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2487 else
10258 e317791645c4 64-bit fixes John W. Eaton <jwe@octave.org> parents: 10158 diff changeset	2488 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	2489
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2490 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2491 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2492
14815 95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2493 Array<float>
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2494 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	2495 {
14815 95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2496 Array<float> retval;
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2497 dim_vector dv = x.dims ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2498
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2499 if (dv == a.dims ())
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2500 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2501 octave_idx_type nel = dv.numel ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2502
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2503 retval.resize (dv);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2504
14815 95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2505 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	2506
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2507 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	2508 *pretval++ = betainc (x(i), a(i), b);
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2509 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2510 else
10258 e317791645c4 64-bit fixes John W. Eaton <jwe@octave.org> parents: 10158 diff changeset	2511 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	2512
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2513 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2514 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2515
14815 95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2516 Array<float>
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2517 betainc (const Array<float>& x, 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	2518 {
14815 95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2519 Array<float> retval;
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2520 dim_vector dv = x.dims ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2521
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2522 if (dv == a.dims () && dv == b.dims ())
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2523 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2524 octave_idx_type nel = dv.numel ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2525
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2526 retval.resize (dv);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2527
14815 95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2528 float *pretval = retval.fortran_vec ();
95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2529
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2530 for (octave_idx_type i = 0; i < nel; i++)
14815 95b93a728603 Use Array superclass, rather than Matrix or NDArray, for betainc function. Rik <octave@nomad.inbox5.com> parents: 14786 diff changeset	2531 *pretval++ = betainc (x(i), a(i), b(i));
4844 9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2532 }
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2533 else
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2534 gripe_betainc_nonconformant (dv, a.dims (), b.dims ());
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2535
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2536 return retval;
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2537 }
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2538
5775 ace8d8d26933 [project @ 2006-04-24 19:13:06 by jwe] jwe parents: 5701 diff changeset	2539 // FIXME -- there is still room for improvement here...
3164 45490c020e47 [project @ 1998-04-14 20:56:48 by jwe] jwe parents: 3162 diff changeset	2540
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2541 double
4004 ca854fb51a88 [project @ 2002-07-25 06:31:33 by jwe] jwe parents: 3887 diff changeset	2542 gammainc (double x, double a, bool& err)
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2543 {
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2544 double retval;
3164 45490c020e47 [project @ 1998-04-14 20:56:48 by jwe] jwe parents: 3162 diff changeset	2545
4004 ca854fb51a88 [project @ 2002-07-25 06:31:33 by jwe] jwe parents: 3887 diff changeset	2546 err = false;
3164 45490c020e47 [project @ 1998-04-14 20:56:48 by jwe] jwe parents: 3162 diff changeset	2547
4004 ca854fb51a88 [project @ 2002-07-25 06:31:33 by jwe] jwe parents: 3887 diff changeset	2548 if (a < 0.0 \|\| x < 0.0)
ca854fb51a88 [project @ 2002-07-25 06:31:33 by jwe] jwe parents: 3887 diff changeset	2549 {
ca854fb51a88 [project @ 2002-07-25 06:31:33 by jwe] jwe parents: 3887 diff changeset	2550 (*current_liboctave_error_handler)
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2551 ("gammainc: A and X must be non-negative");
4004 ca854fb51a88 [project @ 2002-07-25 06:31:33 by jwe] jwe parents: 3887 diff changeset	2552
ca854fb51a88 [project @ 2002-07-25 06:31:33 by jwe] jwe parents: 3887 diff changeset	2553 err = true;
ca854fb51a88 [project @ 2002-07-25 06:31:33 by jwe] jwe parents: 3887 diff changeset	2554 }
ca854fb51a88 [project @ 2002-07-25 06:31:33 by jwe] jwe parents: 3887 diff changeset	2555 else
5278 fe23ec6763b7 [project @ 2005-04-12 21:04:39 by jwe] jwe parents: 5275 diff changeset	2556 F77_XFCN (xgammainc, XGAMMAINC, (a, x, retval));
3164 45490c020e47 [project @ 1998-04-14 20:56:48 by jwe] jwe parents: 3162 diff changeset	2557
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2558 return retval;
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2559 }
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2560
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2561 Matrix
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2562 gammainc (double x, const Matrix& a)
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2563 {
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	2564 octave_idx_type nr = a.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	2565 octave_idx_type nc = a.cols ();
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2566
4004 ca854fb51a88 [project @ 2002-07-25 06:31:33 by jwe] jwe parents: 3887 diff changeset	2567 Matrix result (nr, nc);
ca854fb51a88 [project @ 2002-07-25 06:31:33 by jwe] jwe parents: 3887 diff changeset	2568 Matrix retval;
ca854fb51a88 [project @ 2002-07-25 06:31:33 by jwe] jwe parents: 3887 diff changeset	2569
ca854fb51a88 [project @ 2002-07-25 06:31:33 by jwe] jwe parents: 3887 diff changeset	2570 bool err;
3146 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 for (octave_idx_type j = 0; j < nc; j++)
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	2573 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	2574 {
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2575 result(i,j) = gammainc (x, a(i,j), err);
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2576
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2577 if (err)
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2578 goto done;
4004 ca854fb51a88 [project @ 2002-07-25 06:31:33 by jwe] jwe parents: 3887 diff changeset	2579 }
ca854fb51a88 [project @ 2002-07-25 06:31:33 by jwe] jwe parents: 3887 diff changeset	2580
ca854fb51a88 [project @ 2002-07-25 06:31:33 by jwe] jwe parents: 3887 diff changeset	2581 retval = result;
ca854fb51a88 [project @ 2002-07-25 06:31:33 by jwe] jwe parents: 3887 diff changeset	2582
ca854fb51a88 [project @ 2002-07-25 06:31:33 by jwe] jwe parents: 3887 diff changeset	2583 done:
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2584
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2585 return retval;
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2586 }
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2587
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2588 Matrix
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2589 gammainc (const Matrix& x, double a)
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2590 {
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	2591 octave_idx_type nr = x.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	2592 octave_idx_type nc = x.cols ();
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2593
4004 ca854fb51a88 [project @ 2002-07-25 06:31:33 by jwe] jwe parents: 3887 diff changeset	2594 Matrix result (nr, nc);
ca854fb51a88 [project @ 2002-07-25 06:31:33 by jwe] jwe parents: 3887 diff changeset	2595 Matrix retval;
ca854fb51a88 [project @ 2002-07-25 06:31:33 by jwe] jwe parents: 3887 diff changeset	2596
ca854fb51a88 [project @ 2002-07-25 06:31:33 by jwe] jwe parents: 3887 diff changeset	2597 bool err;
3146 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 for (octave_idx_type j = 0; j < nc; j++)
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	2600 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	2601 {
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2602 result(i,j) = gammainc (x(i,j), a, err);
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2603
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2604 if (err)
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2605 goto done;
4004 ca854fb51a88 [project @ 2002-07-25 06:31:33 by jwe] jwe parents: 3887 diff changeset	2606 }
ca854fb51a88 [project @ 2002-07-25 06:31:33 by jwe] jwe parents: 3887 diff changeset	2607
ca854fb51a88 [project @ 2002-07-25 06:31:33 by jwe] jwe parents: 3887 diff changeset	2608 retval = result;
ca854fb51a88 [project @ 2002-07-25 06:31:33 by jwe] jwe parents: 3887 diff changeset	2609
ca854fb51a88 [project @ 2002-07-25 06:31:33 by jwe] jwe parents: 3887 diff changeset	2610 done:
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2611
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2612 return retval;
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2613 }
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2614
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2615 Matrix
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2616 gammainc (const Matrix& x, const Matrix& a)
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2617 {
4004 ca854fb51a88 [project @ 2002-07-25 06:31:33 by jwe] jwe parents: 3887 diff changeset	2618 Matrix result;
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2619 Matrix retval;
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2620
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	2621 octave_idx_type nr = x.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	2622 octave_idx_type nc = x.cols ();
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2623
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	2624 octave_idx_type a_nr = a.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	2625 octave_idx_type a_nc = a.cols ();
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2626
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2627 if (nr == a_nr && nc == a_nc)
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2628 {
4004 ca854fb51a88 [project @ 2002-07-25 06:31:33 by jwe] jwe parents: 3887 diff changeset	2629 result.resize (nr, nc);
ca854fb51a88 [project @ 2002-07-25 06:31:33 by jwe] jwe parents: 3887 diff changeset	2630
ca854fb51a88 [project @ 2002-07-25 06:31:33 by jwe] jwe parents: 3887 diff changeset	2631 bool err;
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2632
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4911 diff changeset	2633 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	2634 for (octave_idx_type i = 0; i < nr; i++)
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2635 {
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2636 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	2637
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2638 if (err)
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2639 goto done;
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2640 }
4004 ca854fb51a88 [project @ 2002-07-25 06:31:33 by jwe] jwe parents: 3887 diff changeset	2641
ca854fb51a88 [project @ 2002-07-25 06:31:33 by jwe] jwe parents: 3887 diff changeset	2642 retval = result;
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2643 }
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2644 else
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2645 (*current_liboctave_error_handler)
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2646 ("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	2647 nr, nc, a_nr, a_nc);
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2648
4004 ca854fb51a88 [project @ 2002-07-25 06:31:33 by jwe] jwe parents: 3887 diff changeset	2649 done:
ca854fb51a88 [project @ 2002-07-25 06:31:33 by jwe] jwe parents: 3887 diff changeset	2650
3146 3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2651 return retval;
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2652 }
3d5aefef14e2 [project @ 1998-02-05 20:58:44 by jwe] jwe parents: diff changeset	2653
4844 9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2654 NDArray
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2655 gammainc (double x, const NDArray& a)
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2656 {
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2657 dim_vector dv = a.dims ();
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2658 octave_idx_type nel = dv.numel ();
4844 9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2659
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2660 NDArray retval;
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2661 NDArray result (dv);
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2662
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2663 bool err;
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2664
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2665 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	2666 {
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2667 result (i) = gammainc (x, a(i), err);
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2668
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2669 if (err)
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2670 goto done;
4844 9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2671 }
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2672
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2673 retval = result;
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 done:
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 return retval;
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2678 }
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2679
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2680 NDArray
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2681 gammainc (const NDArray& x, double a)
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 dim_vector dv = x.dims ();
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2684 octave_idx_type nel = dv.numel ();
4844 9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2685
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2686 NDArray retval;
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2687 NDArray result (dv);
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2688
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2689 bool err;
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2690
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2691 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	2692 {
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2693 result (i) = gammainc (x(i), a, err);
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2694
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2695 if (err)
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2696 goto done;
4844 9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2697 }
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2698
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2699 retval = result;
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 done:
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 return retval;
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2704 }
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2705
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2706 NDArray
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2707 gammainc (const NDArray& x, const NDArray& a)
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 dim_vector dv = x.dims ();
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2710 octave_idx_type nel = dv.numel ();
4844 9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2711
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2712 NDArray retval;
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2713 NDArray result;
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2714
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2715 if (dv == a.dims ())
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 result.resize (dv);
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2718
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2719 bool err;
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2720
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2721 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	2722 {
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2723 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	2724
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2725 if (err)
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2726 goto done;
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2727 }
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2728
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2729 retval = result;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2730 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2731 else
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2732 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2733 std::string x_str = dv.str ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2734 std::string a_str = a.dims ().str ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2735
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2736 (*current_liboctave_error_handler)
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2737 ("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	2738 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	2739 }
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 done:
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2742
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2743 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2744 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2745
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2746 float
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2747 gammainc (float x, float a, bool& err)
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 float retval;
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 err = false;
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 if (a < 0.0 \|\| x < 0.0)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2754 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2755 (*current_liboctave_error_handler)
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2756 ("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	2757
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2758 err = true;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2759 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2760 else
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2761 F77_XFCN (xsgammainc, XSGAMMAINC, (a, x, retval));
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 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2764 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2765
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2766 FloatMatrix
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2767 gammainc (float x, const FloatMatrix& a)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2768 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2769 octave_idx_type nr = a.rows ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2770 octave_idx_type nc = a.cols ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2771
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2772 FloatMatrix result (nr, nc);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2773 FloatMatrix retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2774
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2775 bool err;
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 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	2778 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	2779 {
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2780 result(i,j) = gammainc (x, a(i,j), err);
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2781
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2782 if (err)
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2783 goto done;
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2784 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2785
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2786 retval = result;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2787
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2788 done:
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2789
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2790 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2791 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2792
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2793 FloatMatrix
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2794 gammainc (const FloatMatrix& x, float a)
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 octave_idx_type nr = x.rows ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2797 octave_idx_type nc = x.cols ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2798
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2799 FloatMatrix result (nr, nc);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2800 FloatMatrix retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2801
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2802 bool err;
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 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	2805 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	2806 {
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2807 result(i,j) = gammainc (x(i,j), a, err);
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2808
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2809 if (err)
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2810 goto done;
7789 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
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2813 retval = result;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2814
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2815 done:
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2816
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2817 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2818 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2819
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2820 FloatMatrix
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2821 gammainc (const FloatMatrix& x, const FloatMatrix& a)
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 FloatMatrix result;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2824 FloatMatrix retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2825
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2826 octave_idx_type nr = x.rows ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2827 octave_idx_type nc = x.cols ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2828
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2829 octave_idx_type a_nr = a.rows ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2830 octave_idx_type a_nc = a.cols ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2831
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2832 if (nr == a_nr && nc == a_nc)
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 result.resize (nr, nc);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2835
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2836 bool err;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2837
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2838 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	2839 for (octave_idx_type i = 0; i < nr; i++)
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2840 {
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2841 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	2842
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2843 if (err)
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2844 goto done;
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2845 }
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2846
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2847 retval = result;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2848 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2849 else
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2850 (*current_liboctave_error_handler)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2851 ("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	2852 nr, nc, a_nr, a_nc);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2853
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2854 done:
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2855
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2856 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2857 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2858
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2859 FloatNDArray
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2860 gammainc (float x, const FloatNDArray& a)
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 dim_vector dv = a.dims ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2863 octave_idx_type nel = dv.numel ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2864
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2865 FloatNDArray retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2866 FloatNDArray result (dv);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2867
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2868 bool err;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2869
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2870 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	2871 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2872 result (i) = gammainc (x, a(i), err);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2873
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2874 if (err)
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2875 goto done;
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2876 }
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 retval = result;
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 done:
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 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2883 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2884
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2885 FloatNDArray
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2886 gammainc (const FloatNDArray& x, float a)
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 dim_vector dv = x.dims ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2889 octave_idx_type nel = dv.numel ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2890
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2891 FloatNDArray retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2892 FloatNDArray result (dv);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2893
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2894 bool err;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2895
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2896 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	2897 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2898 result (i) = gammainc (x(i), a, err);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2899
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2900 if (err)
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2901 goto done;
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2902 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2903
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2904 retval = result;
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 done:
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 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2909 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2910
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2911 FloatNDArray
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2912 gammainc (const FloatNDArray& x, const FloatNDArray& a)
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 dim_vector dv = x.dims ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2915 octave_idx_type nel = dv.numel ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2916
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2917 FloatNDArray retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2918 FloatNDArray result;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2919
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2920 if (dv == a.dims ())
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 result.resize (dv);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2923
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2924 bool err;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2925
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7638 diff changeset	2926 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	2927 {
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2928 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	2929
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2930 if (err)
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2931 goto done;
07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2932 }
4844 9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2933
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2934 retval = result;
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2935 }
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2936 else
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2937 {
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2938 std::string x_str = dv.str ();
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2939 std::string a_str = a.dims ().str ();
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2940
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2941 (*current_liboctave_error_handler)
10314 07ebe522dac2 untabify liboctave C++ sources John W. Eaton <jwe@octave.org> parents: 10258 diff changeset	2942 ("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	2943 x_str.c_str (), a_str.c_str ());
4844 9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2944 }
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 done:
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2947
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2948 return retval;
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2949 }
9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4552 diff changeset	2950
9812 f80c566bc751 improve unary mapper system Jaroslav Hajek <highegg@gmail.com> parents: 9732 diff changeset	2951
f80c566bc751 improve unary mapper system Jaroslav Hajek <highegg@gmail.com> parents: 9732 diff changeset	2952 Complex rc_log1p (double x)
f80c566bc751 improve unary mapper system Jaroslav Hajek <highegg@gmail.com> parents: 9732 diff changeset	2953 {
f80c566bc751 improve unary mapper system Jaroslav Hajek <highegg@gmail.com> parents: 9732 diff changeset	2954 const double pi = 3.14159265358979323846;
f80c566bc751 improve unary mapper system Jaroslav Hajek <highegg@gmail.com> parents: 9732 diff changeset	2955 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	2956 }
f80c566bc751 improve unary mapper system Jaroslav Hajek <highegg@gmail.com> parents: 9732 diff changeset	2957
f80c566bc751 improve unary mapper system Jaroslav Hajek <highegg@gmail.com> parents: 9732 diff changeset	2958 FloatComplex rc_log1p (float x)
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 const float pi = 3.14159265358979323846f;
f80c566bc751 improve unary mapper system Jaroslav Hajek <highegg@gmail.com> parents: 9732 diff changeset	2961 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	2962 }
f80c566bc751 improve unary mapper system Jaroslav Hajek <highegg@gmail.com> parents: 9732 diff changeset	2963
9838 55219e65c7cd fix typo Jaroslav Hajek <highegg@gmail.com> parents: 9837 diff changeset	2964 // This algorithm is due to P. J. Acklam.
9837 7c70084b125e improve comment for 9835 Jaroslav Hajek <highegg@gmail.com> parents: 9835 diff changeset	2965 // See http://home.online.no/~pjacklam/notes/invnorm/
7c70084b125e improve comment for 9835 Jaroslav Hajek <highegg@gmail.com> parents: 9835 diff changeset	2966 // 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	2967 // 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	2968 // 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	2969 // faster evaluation.
1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	2970
1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	2971 static double do_erfinv (double x, bool refine)
1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	2972 {
1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	2973 // Coefficients of rational approximation.
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11574 diff changeset	2974 static const double a[] =
9835 1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	2975 { -2.806989788730439e+01, 1.562324844726888e+02,
1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	2976 -1.951109208597547e+02, 9.783370457507161e+01,
1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	2977 -2.168328665628878e+01, 1.772453852905383e+00 };
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11574 diff changeset	2978 static const double b[] =
9835 1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	2979 { -5.447609879822406e+01, 1.615858368580409e+02,
1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	2980 -1.556989798598866e+02, 6.680131188771972e+01,
1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	2981 -1.328068155288572e+01 };
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11574 diff changeset	2982 static const double c[] =
9835 1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	2983 { -5.504751339936943e-03, -2.279687217114118e-01,
1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	2984 -1.697592457770869e+00, -1.802933168781950e+00,
1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	2985 3.093354679843505e+00, 2.077595676404383e+00 };
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11574 diff changeset	2986 static const double d[] =
9835 1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	2987 { 7.784695709041462e-03, 3.224671290700398e-01,
1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	2988 2.445134137142996e+00, 3.754408661907416e+00 };
1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	2989
14781 e190f6da40f6 maint: Correct comments and use Octave spacing conventions for erfinv. Rik <octave@nomad.inbox5.com> parents: 14771 diff changeset	2990 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	2991 static const double pbreak = 0.95150;
1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	2992 double ax = fabs (x), y;
1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	2993
1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	2994 // Select case.
1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	2995 if (ax <= pbreak)
1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	2996 {
1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	2997 // Middle region.
1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	2998 const double q = 0.5 * x, r = q*q;
1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	2999 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	3000 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	3001 y = yn / yd;
1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	3002 }
1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	3003 else if (ax < 1.0)
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 // Tail region.
1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	3006 const double q = sqrt (-2log (0.5(1-ax)));
1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	3007 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	3008 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	3009 y = yn / yd * signum (-x);
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 return octave_Inf * signum (x);
1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	3013 else
1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	3014 return octave_NaN;
1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	3015
1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	3016 if (refine)
1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	3017 {
1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	3018 // 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	3019 double u = (erf (y) - x) * spi2 * exp (y*y);
9835 1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	3020 y -= u / (1 + y*u);
1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	3021 }
1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	3022
1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	3023 return y;
1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	3024 }
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 double erfinv (double x)
1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	3027 {
1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	3028 return do_erfinv (x, true);
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 float erfinv (float x)
1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	3032 {
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11574 diff changeset	3033 return do_erfinv (x, false);
9835 1bb1ed717d2f implement built-in erfinv Jaroslav Hajek <highegg@gmail.com> parents: 9812 diff changeset	3034 }
10391 59e34bcdff13 implement built-in erfcx Jaroslav Hajek <highegg@gmail.com> parents: 10352 diff changeset	3035
14786 e70a0c9cada6 Pre-compute bounds (constant folding) for erfcinv function. Rik <octave@nomad.inbox5.com> parents: 14781 diff changeset	3036 // 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	3037 // 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	3038 // 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	3039
14770 cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3040 static double do_erfcinv (double x, bool refine)
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3041 {
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3042 // Coefficients of rational approximation.
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3043 static const double a[] =
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3044 { -2.806989788730439e+01, 1.562324844726888e+02,
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3045 -1.951109208597547e+02, 9.783370457507161e+01,
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3046 -2.168328665628878e+01, 1.772453852905383e+00 };
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3047 static const double b[] =
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3048 { -5.447609879822406e+01, 1.615858368580409e+02,
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3049 -1.556989798598866e+02, 6.680131188771972e+01,
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3050 -1.328068155288572e+01 };
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3051 static const double c[] =
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3052 { -5.504751339936943e-03, -2.279687217114118e-01,
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3053 -1.697592457770869e+00, -1.802933168781950e+00,
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3054 3.093354679843505e+00, 2.077595676404383e+00 };
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3055 static const double d[] =
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3056 { 7.784695709041462e-03, 3.224671290700398e-01,
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3057 2.445134137142996e+00, 3.754408661907416e+00 };
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3058
14771 10ed11922f19 maint: code cleanup for new erfcinv function. Rik <octave@nomad.inbox5.com> parents: 14770 diff changeset	3059 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	3060 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	3061 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	3062 double y;
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3063
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3064 // Select case.
14786 e70a0c9cada6 Pre-compute bounds (constant folding) for erfcinv function. Rik <octave@nomad.inbox5.com> parents: 14781 diff changeset	3065 if (x >= pbreak_lo && x <= pbreak_hi)
14770 cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3066 {
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3067 // Middle region.
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3068 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	3069 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	3070 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	3071 y = yn / yd;
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3072 }
14786 e70a0c9cada6 Pre-compute bounds (constant folding) for erfcinv function. Rik <octave@nomad.inbox5.com> parents: 14781 diff changeset	3073 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	3074 {
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3075 // Tail region.
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3076 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	3077 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	3078 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	3079 y = yn / yd;
14786 e70a0c9cada6 Pre-compute bounds (constant folding) for erfcinv function. Rik <octave@nomad.inbox5.com> parents: 14781 diff changeset	3080 if (x < pbreak_lo)
e70a0c9cada6 Pre-compute bounds (constant folding) for erfcinv function. Rik <octave@nomad.inbox5.com> parents: 14781 diff changeset	3081 y = -y;
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 else if (x == 0.0)
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3084 return octave_Inf;
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3085 else if (x == 2.0)
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3086 return -octave_Inf;
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3087 else
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3088 return octave_NaN;
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3089
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3090 if (refine)
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3091 {
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3092 // 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	3093 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	3094 y -= u / (1 + y*u);
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3095 }
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3096
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3097 return y;
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3098 }
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 double erfcinv (double x)
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3101 {
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3102 return do_erfcinv (x, true);
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 float erfcinv (float x)
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 return do_erfcinv (x, false);
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3108 }
cb85e836d035 New function: erfcinv (bug #36607) Axel Mathéi <axel.mathei@gmail.com> parents: 14197 diff changeset	3109
14816 0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3110 //
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3111 // Incomplete Beta function ratio
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3112 //
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3113 // Algorithm based on the one by John Burkardt.
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3114 // 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	3115 //
14817 67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3116 // 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	3117 //
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3118 // Reference:
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3119 //
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3120 // KL Majumder, GP Bhattacharjee,
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3121 // Algorithm AS 63:
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3122 // The incomplete Beta Integral,
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3123 // Applied Statistics,
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3124 // Volume 22, Number 3, 1973, pages 409-411.
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 double
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3127 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	3128 {
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3129 double acu = 0.1E-14, ai, cx;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3130 bool indx;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3131 int ns;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3132 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	3133
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3134 value = x;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3135 err = false;
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 // Check the input arguments.
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3138
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3139 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	3140 {
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3141 err = true;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3142 return value;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3143 }
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 // Special cases.
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 (x == 0.0 \|\| x == 1.0)
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 return value;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3150 }
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3151
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3152 // Change tail if necessary and determine S.
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3153
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3154 psq = p + q;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3155 cx = 1.0 - x;
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 if (p < psq * x)
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 xx = cx;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3160 cx = x;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3161 pp = q;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3162 qq = p;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3163 indx = true;
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 else
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 = x;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3168 pp = p;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3169 qq = q;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3170 indx = false;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3171 }
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 term = 1.0;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3174 ai = 1.0;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3175 value = 1.0;
15217 d2220c3def3f avoid C-style cast warning John W. Eaton <jwe@octave.org> parents: 15084 diff changeset	3176 ns = static_cast<int> (qq + cx * psq);
14816 0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3177
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3178 // Use the Soper reduction formula.
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3179
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3180 rx = xx / cx;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3181 temp = qq - ai;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3182 if (ns == 0)
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3183 {
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3184 rx = xx;
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
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3187 for ( ; ; )
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3188 {
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3189 term = term * temp * rx / (pp + ai);
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3190 value = value + term;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3191 temp = fabs (term);
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3192
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3193 if (temp <= acu && temp <= acu * value)
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 value = value * exp (pp * log (xx)
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3196 + (qq - 1.0) * log (cx) - beta) / pp;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3197
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3198 if (indx)
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3199 {
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3200 value = 1.0 - value;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3201 }
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3202 break;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3203 }
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3204
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3205 ai = ai + 1.0;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3206 ns = ns - 1;
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 if (0 <= ns)
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 temp = qq - ai;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3211 if (ns == 0)
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3212 {
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3213 rx = xx;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3214 }
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3215 }
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3216 else
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 = psq;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3219 psq = psq + 1.0;
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 }
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 return value;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3224 }
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3225
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3226 //
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3227 // Inverse of the incomplete Beta function
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 // Algorithm based on the one by John Burkardt.
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3230 // 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	3231 //
14817 67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3232 // 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	3233 //
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3234 // Reference:
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3235 //
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3236 // GW Cran, KJ Martin, GE Thomas,
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3237 // Remark AS R19 and Algorithm AS 109:
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3238 // 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	3239 // 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	3240 // Applied Statistics,
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3241 // Volume 26, Number 1, 1977, pages 111-114.
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3242 //
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3243 double
15217 d2220c3def3f avoid C-style cast warning John W. Eaton <jwe@octave.org> parents: 15084 diff changeset	3244 betaincinv (double y, double p, double q)
d2220c3def3f avoid C-style cast warning John W. Eaton <jwe@octave.org> parents: 15084 diff changeset	3245 {
14816 0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3246 double a, acu, adj, fpu, g, h;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3247 int iex;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3248 bool indx;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3249 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	3250
14847 bcf86cc2f1ee Use xlgamma instead of lgamma in betaincinv for portability across systems. Rik <octave@nomad.inbox5.com> parents: 14846 diff changeset	3251 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	3252 bool err = false;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3253 fpu = pow (10.0, sae);
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3254 value = y;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3255
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3256 // Test for admissibility of parameters.
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3257
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3258 if (p <= 0.0 \|\| q <= 0.0)
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3259 {
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3260 (*current_liboctave_error_handler)
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3261 ("betaincinv: wrong parameters");
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3262 }
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3263
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3264 if (y < 0.0 \|\| 1.0 < y)
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 (*current_liboctave_error_handler)
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3267 ("betaincinv: wrong parameter Y");
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3268 }
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3269
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3270 if (y == 0.0 \|\| y == 1.0)
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 return value;
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
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3275 // Change tail if necessary.
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 if (0.5 < y)
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3278 {
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3279 a = 1.0 - y;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3280 pp = q;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3281 qq = p;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3282 indx = true;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3283 }
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3284 else
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3285 {
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3286 a = y;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3287 pp = p;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3288 qq = q;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3289 indx = false;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3290 }
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3291
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3292 // Calculate the initial approximation.
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 r = sqrt (- log (a * a));
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3295
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3296 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	3297
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3298 if (1.0 < pp && 1.0 < qq)
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 r = (ycur * ycur - 3.0) / 6.0;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3301 s = 1.0 / (pp + pp - 1.0);
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3302 t = 1.0 / (qq + qq - 1.0);
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3303 h = 2.0 / (s + t);
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3304 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	3305 value = pp / (pp + qq * exp (w + w));
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3306 }
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3307 else
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3308 {
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3309 r = qq + qq;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3310 t = 1.0 / (9.0 * qq);
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3311 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	3312
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3313 if (t <= 0.0)
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 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	3316 }
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3317 else
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3318 {
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3319 t = (4.0 * pp + r - 2.0) / t;
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 <= 1.0)
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 = exp ((log (a * pp) + beta) / pp);
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 value = 1.0 - 2.0 / (t + 1.0);
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 }
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
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3332 // 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	3333 // using the function BETAIN.
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 r = 1.0 - pp;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3336 t = 1.0 - qq;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3337 yprev = 0.0;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3338 sq = 1.0;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3339 prev = 1.0;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3340
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3341 if (value < 0.0001)
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 value = 0.0001;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3344 }
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3345
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3346 if (0.9999 < value)
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3347 {
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3348 value = 0.9999;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3349 }
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3350
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3351 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	3352
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3353 acu = pow (10.0, iex);
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3354
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3355 for ( ; ; )
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3356 {
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3357 ycur = betain (value, pp, qq, beta, err);
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 if (err)
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 return value;
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
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3364 xin = value;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3365 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	3366
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3367 if (ycur * yprev <= 0.0)
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 prev = std::max (sq, fpu);
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 g = 1.0;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3373
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3374 for ( ; ; )
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3375 {
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3376 for ( ; ; )
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3377 {
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3378 adj = g * ycur;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3379 sq = adj * adj;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3380
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3381 if (sq < prev)
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3382 {
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3383 tx = value - adj;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3384
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3385 if (0.0 <= tx && tx <= 1.0)
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3386 {
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3387 break;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3388 }
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3389 }
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3390 g = g / 3.0;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3391 }
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3392
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3393 if (prev <= acu)
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 if (indx)
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 value = 1.0 - value;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3398 }
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3399 return value;
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
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3402 if (ycur * ycur <= acu)
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3403 {
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3404 if (indx)
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3405 {
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3406 value = 1.0 - value;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3407 }
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3408 return value;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3409 }
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3410
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3411 if (tx != 0.0 && tx != 1.0)
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3412 {
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3413 break;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3414 }
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3415
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3416 g = g / 3.0;
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 == value)
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 value = tx;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3425 yprev = ycur;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3426 }
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3427
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3428 if (indx)
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3429 {
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3430 value = 1.0 - value;
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
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3433 return value;
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
14817 67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3436 Array<double>
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3437 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	3438 {
14817 67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3439 dim_vector dv = b.dims ();
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3440 octave_idx_type nel = dv.numel ();
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3441
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3442 Array<double> retval (dv);
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3443
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3444 double *pretval = retval.fortran_vec ();
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3445
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3446 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	3447 *pretval++ = betaincinv (x, a, b(i));
14816 0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3448
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3449 return retval;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3450 }
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3451
14817 67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3452 Array<double>
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3453 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	3454 {
14817 67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3455 dim_vector dv = a.dims ();
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3456 octave_idx_type nel = dv.numel ();
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3457
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3458 Array<double> retval (dv);
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3459
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3460 double *pretval = retval.fortran_vec ();
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3461
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3462 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	3463 *pretval++ = betaincinv (x, a(i), b);
14816 0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3464
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3465 return retval;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3466 }
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3467
14817 67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3468 Array<double>
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3469 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	3470 {
14817 67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3471 Array<double> retval;
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3472 dim_vector dv = a.dims ();
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3473
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3474 if (dv == b.dims ())
14816 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 octave_idx_type nel = dv.numel ();
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3477
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3478 retval.resize (dv);
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3479
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3480 double *pretval = retval.fortran_vec ();
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 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	3483 *pretval++ = betaincinv (x, a(i), b(i));
14816 0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3484 }
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3485 else
14817 67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3486 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	3487
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3488 return retval;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3489 }
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3490
14817 67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3491 Array<double>
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3492 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	3493 {
14817 67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3494 dim_vector dv = x.dims ();
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3495 octave_idx_type nel = dv.numel ();
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3496
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3497 Array<double> retval (dv);
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3498
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3499 double *pretval = retval.fortran_vec ();
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3500
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3501 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	3502 *pretval++ = betaincinv (x(i), a, b);
14816 0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3503
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3504 return retval;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3505 }
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3506
14817 67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3507 Array<double>
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3508 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	3509 {
14817 67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3510 Array<double> retval;
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3511 dim_vector dv = x.dims ();
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3512
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3513 if (dv == b.dims ())
14816 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 octave_idx_type nel = dv.numel ();
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3516
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3517 retval.resize (dv);
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3518
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3519 double *pretval = retval.fortran_vec ();
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 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	3522 *pretval++ = betaincinv (x(i), a, b(i));
14816 0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3523 }
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3524 else
14817 67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3525 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	3526
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3527 return retval;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3528 }
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3529
14817 67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3530 Array<double>
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3531 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	3532 {
14817 67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3533 Array<double> retval;
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3534 dim_vector dv = x.dims ();
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3535
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3536 if (dv == a.dims ())
14816 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 octave_idx_type nel = dv.numel ();
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3539
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3540 retval.resize (dv);
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3541
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3542 double *pretval = retval.fortran_vec ();
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 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	3545 *pretval++ = betaincinv (x(i), a(i), b);
14816 0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3546 }
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3547 else
14817 67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3548 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	3549
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3550 return retval;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3551 }
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3552
14817 67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3553 Array<double>
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3554 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	3555 {
14817 67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3556 Array<double> retval;
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3557 dim_vector dv = x.dims ();
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3558
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3559 if (dv == a.dims () && dv == b.dims ())
14816 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 octave_idx_type nel = dv.numel ();
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3562
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3563 retval.resize (dv);
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3564
67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3565 double *pretval = retval.fortran_vec ();
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 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	3568 *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	3569 }
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3570 else
14817 67897baaa05f Adapt implementation of betaincinv to Octave. Rik <octave@nomad.inbox5.com> parents: 14816 diff changeset	3571 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	3572
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3573 return retval;
0a868d90436b New function: betaincinv (bug #34364) Axel Mathéi <axel.mathei@gmail.com> parents: 14815 diff changeset	3574 }

Mercurial > octave

annotate liboctave/numeric/lo-specfun.cc @ 15696:2fac72a256ce