Mercurial > hg > octave-nkf
annotate liboctave/numeric/lo-specfun.cc @ 19552:c6437824681c stable
improve Matlab compatibility for gamma function (bug #43551)
* lo-specfun.cc (xgamma): Return Inf instead of NaN for negative
integer arguments.
* mappers.cc: Fix tests for gamma.
author | John W. Eaton <jwe@octave.org> |
---|---|
date | Thu, 20 Nov 2014 15:48:35 -0500 |
parents | 49a5a4be04a1 |
children | 998628b7963a |
rev | line source |
---|---|
3146 | 1 /* |
2 | |
17744
d63878346099
maint: Update copyright notices for release.
John W. Eaton <jwe@octave.org>
parents:
17741
diff
changeset
|
3 Copyright (C) 1996-2013 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 | 6 |
7 This file is part of Octave. | |
8 | |
9 Octave is free software; you can redistribute it and/or modify it | |
10 under the terms of the GNU General Public License as published by the | |
7016 | 11 Free Software Foundation; either version 3 of the License, or (at your |
12 option) any later version. | |
3146 | 13 |
14 Octave is distributed in the hope that it will be useful, but WITHOUT | |
15 ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or | |
16 FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License | |
17 for more details. | |
18 | |
19 You should have received a copy of the GNU General Public License | |
7016 | 20 along with Octave; see the file COPYING. If not, see |
21 <http://www.gnu.org/licenses/>. | |
3146 | 22 |
23 */ | |
24 | |
25 #ifdef HAVE_CONFIG_H | |
26 #include <config.h> | |
27 #endif | |
28 | |
29 #include "Range.h" | |
3220 | 30 #include "CColVector.h" |
31 #include "CMatrix.h" | |
32 #include "dRowVector.h" | |
3146 | 33 #include "dMatrix.h" |
4844 | 34 #include "dNDArray.h" |
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 | 42 #include "f77-fcn.h" |
43 #include "lo-error.h" | |
3220 | 44 #include "lo-ieee.h" |
45 #include "lo-specfun.h" | |
3146 | 46 #include "mx-inlines.cc" |
5701 | 47 #include "lo-mappers.h" |
3146 | 48 |
15696
2fac72a256ce
Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package.
Steven G. Johnson <stevenj@alum.mit.edu>
parents:
15271
diff
changeset
|
49 #include "Faddeeva.hh" |
2fac72a256ce
Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package.
Steven G. Johnson <stevenj@alum.mit.edu>
parents:
15271
diff
changeset
|
50 |
3146 | 51 extern "C" |
52 { | |
4552 | 53 F77_RET_T |
54 F77_FUNC (zbesj, ZBESJ) (const double&, const double&, const double&, | |
11518 | 55 const octave_idx_type&, const octave_idx_type&, |
56 double*, double*, octave_idx_type&, | |
57 octave_idx_type&); | |
3146 | 58 |
4552 | 59 F77_RET_T |
60 F77_FUNC (zbesy, ZBESY) (const double&, const double&, const double&, | |
11518 | 61 const octave_idx_type&, const octave_idx_type&, |
62 double*, double*, octave_idx_type&, double*, | |
63 double*, octave_idx_type&); | |
3220 | 64 |
4552 | 65 F77_RET_T |
66 F77_FUNC (zbesi, ZBESI) (const double&, const double&, const double&, | |
11518 | 67 const octave_idx_type&, const octave_idx_type&, |
68 double*, double*, octave_idx_type&, | |
69 octave_idx_type&); | |
3146 | 70 |
4552 | 71 F77_RET_T |
72 F77_FUNC (zbesk, ZBESK) (const double&, const double&, const double&, | |
11518 | 73 const octave_idx_type&, const octave_idx_type&, |
74 double*, double*, octave_idx_type&, | |
75 octave_idx_type&); | |
3220 | 76 |
4552 | 77 F77_RET_T |
78 F77_FUNC (zbesh, ZBESH) (const double&, const double&, const double&, | |
11518 | 79 const octave_idx_type&, const octave_idx_type&, |
80 const octave_idx_type&, double*, double*, | |
81 octave_idx_type&, octave_idx_type&); | |
4552 | 82 |
83 F77_RET_T | |
8279
b3734f1cb592
lo-specfun.cc: fix prototypes and calls to cbes{h,i,j,k,y} subroutines
John W. Eaton <jwe@octave.org>
parents:
8278
diff
changeset
|
84 F77_FUNC (cbesj, cBESJ) (const FloatComplex&, const float&, |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
85 const octave_idx_type&, const octave_idx_type&, |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
86 FloatComplex*, octave_idx_type&, octave_idx_type&); |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
87 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
88 F77_RET_T |
8279
b3734f1cb592
lo-specfun.cc: fix prototypes and calls to cbes{h,i,j,k,y} subroutines
John W. Eaton <jwe@octave.org>
parents:
8278
diff
changeset
|
89 F77_FUNC (cbesy, CBESY) (const FloatComplex&, const float&, |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
90 const octave_idx_type&, const octave_idx_type&, |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
91 FloatComplex*, octave_idx_type&, |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
92 FloatComplex*, octave_idx_type&); |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
93 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
94 F77_RET_T |
8279
b3734f1cb592
lo-specfun.cc: fix prototypes and calls to cbes{h,i,j,k,y} subroutines
John W. Eaton <jwe@octave.org>
parents:
8278
diff
changeset
|
95 F77_FUNC (cbesi, CBESI) (const FloatComplex&, const float&, |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
96 const octave_idx_type&, const octave_idx_type&, |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
97 FloatComplex*, octave_idx_type&, octave_idx_type&); |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
98 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
99 F77_RET_T |
8279
b3734f1cb592
lo-specfun.cc: fix prototypes and calls to cbes{h,i,j,k,y} subroutines
John W. Eaton <jwe@octave.org>
parents:
8278
diff
changeset
|
100 F77_FUNC (cbesk, CBESK) (const FloatComplex&, const float&, |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
101 const octave_idx_type&, const octave_idx_type&, |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
102 FloatComplex*, octave_idx_type&, octave_idx_type&); |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
103 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
104 F77_RET_T |
8279
b3734f1cb592
lo-specfun.cc: fix prototypes and calls to cbes{h,i,j,k,y} subroutines
John W. Eaton <jwe@octave.org>
parents:
8278
diff
changeset
|
105 F77_FUNC (cbesh, CBESH) (const FloatComplex&, const float&, |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
106 const octave_idx_type&, const octave_idx_type&, |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
107 const octave_idx_type&, FloatComplex*, |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
108 octave_idx_type&, octave_idx_type&); |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
109 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
110 F77_RET_T |
11518 | 111 F77_FUNC (zairy, ZAIRY) (const double&, const double&, |
112 const octave_idx_type&, const octave_idx_type&, | |
113 double&, double&, octave_idx_type&, | |
114 octave_idx_type&); | |
3146 | 115 |
4552 | 116 F77_RET_T |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
117 F77_FUNC (cairy, CAIRY) (const float&, const float&, const octave_idx_type&, |
11518 | 118 const octave_idx_type&, float&, float&, |
119 octave_idx_type&, octave_idx_type&); | |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
120 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
121 F77_RET_T |
11518 | 122 F77_FUNC (zbiry, ZBIRY) (const double&, const double&, |
123 const octave_idx_type&, const octave_idx_type&, | |
124 double&, double&, octave_idx_type&); | |
4552 | 125 |
126 F77_RET_T | |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
127 F77_FUNC (cbiry, CBIRY) (const float&, const float&, const octave_idx_type&, |
11518 | 128 const octave_idx_type&, float&, float&, |
129 octave_idx_type&); | |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
130 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
131 F77_RET_T |
4552 | 132 F77_FUNC (xdacosh, XDACOSH) (const double&, double&); |
3220 | 133 |
4552 | 134 F77_RET_T |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
135 F77_FUNC (xacosh, XACOSH) (const float&, float&); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
136 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
137 F77_RET_T |
4552 | 138 F77_FUNC (xdasinh, XDASINH) (const double&, double&); |
3146 | 139 |
4552 | 140 F77_RET_T |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
141 F77_FUNC (xasinh, XASINH) (const float&, float&); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
142 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
143 F77_RET_T |
4552 | 144 F77_FUNC (xdatanh, XDATANH) (const double&, double&); |
3146 | 145 |
4552 | 146 F77_RET_T |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
147 F77_FUNC (xatanh, XATANH) (const float&, float&); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
148 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
149 F77_RET_T |
4552 | 150 F77_FUNC (xderf, XDERF) (const double&, double&); |
3146 | 151 |
4552 | 152 F77_RET_T |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
153 F77_FUNC (xerf, XERF) (const float&, float&); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
154 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
155 F77_RET_T |
4552 | 156 F77_FUNC (xderfc, XDERFC) (const double&, double&); |
3146 | 157 |
4552 | 158 F77_RET_T |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
159 F77_FUNC (xerfc, XERFC) (const float&, float&); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
160 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
161 F77_RET_T |
4552 | 162 F77_FUNC (xdbetai, XDBETAI) (const double&, const double&, |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
163 const double&, double&); |
3146 | 164 |
4552 | 165 F77_RET_T |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
166 F77_FUNC (xbetai, XBETAI) (const float&, const float&, |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
167 const float&, float&); |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
168 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
169 F77_RET_T |
4552 | 170 F77_FUNC (xdgamma, XDGAMMA) (const double&, double&); |
3146 | 171 |
4552 | 172 F77_RET_T |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
173 F77_FUNC (xgamma, XGAMMA) (const float&, float&); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
174 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
175 F77_RET_T |
4552 | 176 F77_FUNC (xgammainc, XGAMMAINC) (const double&, const double&, double&); |
3146 | 177 |
4552 | 178 F77_RET_T |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
179 F77_FUNC (xsgammainc, XSGAMMAINC) (const float&, const float&, float&); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
180 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
181 F77_RET_T |
4552 | 182 F77_FUNC (dlgams, DLGAMS) (const double&, double&, double&); |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
183 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
184 F77_RET_T |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
185 F77_FUNC (algams, ALGAMS) (const float&, float&, float&); |
3146 | 186 } |
187 | |
188 #if !defined (HAVE_ACOSH) | |
189 double | |
190 acosh (double x) | |
191 { | |
192 double retval; | |
5278 | 193 F77_XFCN (xdacosh, XDACOSH, (x, retval)); |
3146 | 194 return retval; |
195 } | |
196 #endif | |
197 | |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
198 #if !defined (HAVE_ACOSHF) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
199 float |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
200 acoshf (float x) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
201 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
202 float retval; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
203 F77_XFCN (xacosh, XACOSH, (x, retval)); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
204 return retval; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
205 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
206 #endif |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
207 |
3146 | 208 #if !defined (HAVE_ASINH) |
209 double | |
210 asinh (double x) | |
211 { | |
212 double retval; | |
5278 | 213 F77_XFCN (xdasinh, XDASINH, (x, retval)); |
3146 | 214 return retval; |
215 } | |
216 #endif | |
217 | |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
218 #if !defined (HAVE_ASINHF) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
219 float |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
220 asinhf (float x) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
221 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
222 float retval; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
223 F77_XFCN (xasinh, XASINH, (x, retval)); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
224 return retval; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
225 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
226 #endif |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
227 |
3146 | 228 #if !defined (HAVE_ATANH) |
229 double | |
230 atanh (double x) | |
231 { | |
232 double retval; | |
5278 | 233 F77_XFCN (xdatanh, XDATANH, (x, retval)); |
3146 | 234 return retval; |
235 } | |
236 #endif | |
237 | |
7914
e998e81224b5
Various compilation fixes for MSVC.
John W. Eaton <jwe@octave.org>
parents:
7789
diff
changeset
|
238 #if !defined (HAVE_ATANHF) |
e998e81224b5
Various compilation fixes for MSVC.
John W. Eaton <jwe@octave.org>
parents:
7789
diff
changeset
|
239 float |
e998e81224b5
Various compilation fixes for MSVC.
John W. Eaton <jwe@octave.org>
parents:
7789
diff
changeset
|
240 atanhf (float x) |
e998e81224b5
Various compilation fixes for MSVC.
John W. Eaton <jwe@octave.org>
parents:
7789
diff
changeset
|
241 { |
e998e81224b5
Various compilation fixes for MSVC.
John W. Eaton <jwe@octave.org>
parents:
7789
diff
changeset
|
242 float retval; |
e998e81224b5
Various compilation fixes for MSVC.
John W. Eaton <jwe@octave.org>
parents:
7789
diff
changeset
|
243 F77_XFCN (xatanh, XATANH, (x, retval)); |
e998e81224b5
Various compilation fixes for MSVC.
John W. Eaton <jwe@octave.org>
parents:
7789
diff
changeset
|
244 return retval; |
e998e81224b5
Various compilation fixes for MSVC.
John W. Eaton <jwe@octave.org>
parents:
7789
diff
changeset
|
245 } |
e998e81224b5
Various compilation fixes for MSVC.
John W. Eaton <jwe@octave.org>
parents:
7789
diff
changeset
|
246 #endif |
e998e81224b5
Various compilation fixes for MSVC.
John W. Eaton <jwe@octave.org>
parents:
7789
diff
changeset
|
247 |
3146 | 248 #if !defined (HAVE_ERF) |
249 double | |
250 erf (double x) | |
251 { | |
252 double retval; | |
5278 | 253 F77_XFCN (xderf, XDERF, (x, retval)); |
3146 | 254 return retval; |
255 } | |
256 #endif | |
257 | |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
258 #if !defined (HAVE_ERFF) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
259 float |
7914
e998e81224b5
Various compilation fixes for MSVC.
John W. Eaton <jwe@octave.org>
parents:
7789
diff
changeset
|
260 erff (float x) |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
261 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
262 float retval; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
263 F77_XFCN (xerf, XERF, (x, retval)); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
264 return retval; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
265 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
266 #endif |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
267 |
3146 | 268 #if !defined (HAVE_ERFC) |
269 double | |
270 erfc (double x) | |
271 { | |
272 double retval; | |
5278 | 273 F77_XFCN (xderfc, XDERFC, (x, retval)); |
3146 | 274 return retval; |
275 } | |
276 #endif | |
277 | |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
278 #if !defined (HAVE_ERFCF) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
279 float |
7914
e998e81224b5
Various compilation fixes for MSVC.
John W. Eaton <jwe@octave.org>
parents:
7789
diff
changeset
|
280 erfcf (float x) |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
281 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
282 float retval; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
283 F77_XFCN (xerfc, XERFC, (x, retval)); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
284 return retval; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
285 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
286 #endif |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
287 |
15696
2fac72a256ce
Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package.
Steven G. Johnson <stevenj@alum.mit.edu>
parents:
15271
diff
changeset
|
288 // Complex error function from the Faddeeva package |
2fac72a256ce
Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package.
Steven G. Johnson <stevenj@alum.mit.edu>
parents:
15271
diff
changeset
|
289 Complex |
2fac72a256ce
Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package.
Steven G. Johnson <stevenj@alum.mit.edu>
parents:
15271
diff
changeset
|
290 erf (const Complex& x) |
2fac72a256ce
Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package.
Steven G. Johnson <stevenj@alum.mit.edu>
parents:
15271
diff
changeset
|
291 { |
2fac72a256ce
Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package.
Steven G. Johnson <stevenj@alum.mit.edu>
parents:
15271
diff
changeset
|
292 return Faddeeva::erf (x); |
2fac72a256ce
Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package.
Steven G. Johnson <stevenj@alum.mit.edu>
parents:
15271
diff
changeset
|
293 } |
2fac72a256ce
Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package.
Steven G. Johnson <stevenj@alum.mit.edu>
parents:
15271
diff
changeset
|
294 FloatComplex |
2fac72a256ce
Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package.
Steven G. Johnson <stevenj@alum.mit.edu>
parents:
15271
diff
changeset
|
295 erf (const FloatComplex& x) |
2fac72a256ce
Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package.
Steven G. Johnson <stevenj@alum.mit.edu>
parents:
15271
diff
changeset
|
296 { |
2fac72a256ce
Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package.
Steven G. Johnson <stevenj@alum.mit.edu>
parents:
15271
diff
changeset
|
297 Complex xd (real (x), imag (x)); |
2fac72a256ce
Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package.
Steven G. Johnson <stevenj@alum.mit.edu>
parents:
15271
diff
changeset
|
298 Complex ret = Faddeeva::erf (xd, std::numeric_limits<float>::epsilon ()); |
2fac72a256ce
Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package.
Steven G. Johnson <stevenj@alum.mit.edu>
parents:
15271
diff
changeset
|
299 return FloatComplex (real (ret), imag (ret)); |
2fac72a256ce
Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package.
Steven G. Johnson <stevenj@alum.mit.edu>
parents:
15271
diff
changeset
|
300 } |
2fac72a256ce
Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package.
Steven G. Johnson <stevenj@alum.mit.edu>
parents:
15271
diff
changeset
|
301 |
2fac72a256ce
Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package.
Steven G. Johnson <stevenj@alum.mit.edu>
parents:
15271
diff
changeset
|
302 // Complex complementary error function from the Faddeeva package |
2fac72a256ce
Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package.
Steven G. Johnson <stevenj@alum.mit.edu>
parents:
15271
diff
changeset
|
303 Complex |
2fac72a256ce
Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package.
Steven G. Johnson <stevenj@alum.mit.edu>
parents:
15271
diff
changeset
|
304 erfc (const Complex& x) |
2fac72a256ce
Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package.
Steven G. Johnson <stevenj@alum.mit.edu>
parents:
15271
diff
changeset
|
305 { |
2fac72a256ce
Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package.
Steven G. Johnson <stevenj@alum.mit.edu>
parents:
15271
diff
changeset
|
306 return Faddeeva::erfc (x); |
2fac72a256ce
Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package.
Steven G. Johnson <stevenj@alum.mit.edu>
parents:
15271
diff
changeset
|
307 } |
2fac72a256ce
Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package.
Steven G. Johnson <stevenj@alum.mit.edu>
parents:
15271
diff
changeset
|
308 FloatComplex |
2fac72a256ce
Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package.
Steven G. Johnson <stevenj@alum.mit.edu>
parents:
15271
diff
changeset
|
309 erfc (const FloatComplex& x) |
2fac72a256ce
Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package.
Steven G. Johnson <stevenj@alum.mit.edu>
parents:
15271
diff
changeset
|
310 { |
2fac72a256ce
Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package.
Steven G. Johnson <stevenj@alum.mit.edu>
parents:
15271
diff
changeset
|
311 Complex xd (real (x), imag (x)); |
2fac72a256ce
Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package.
Steven G. Johnson <stevenj@alum.mit.edu>
parents:
15271
diff
changeset
|
312 Complex ret = Faddeeva::erfc (xd, std::numeric_limits<float>::epsilon ()); |
2fac72a256ce
Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package.
Steven G. Johnson <stevenj@alum.mit.edu>
parents:
15271
diff
changeset
|
313 return FloatComplex (real (ret), imag (ret)); |
2fac72a256ce
Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package.
Steven G. Johnson <stevenj@alum.mit.edu>
parents:
15271
diff
changeset
|
314 } |
2fac72a256ce
Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package.
Steven G. Johnson <stevenj@alum.mit.edu>
parents:
15271
diff
changeset
|
315 |
2fac72a256ce
Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package.
Steven G. Johnson <stevenj@alum.mit.edu>
parents:
15271
diff
changeset
|
316 // Real and complex scaled complementary error function from Faddeeva package |
2fac72a256ce
Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package.
Steven G. Johnson <stevenj@alum.mit.edu>
parents:
15271
diff
changeset
|
317 float erfcx (float x) { return Faddeeva::erfcx(x); } |
2fac72a256ce
Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package.
Steven G. Johnson <stevenj@alum.mit.edu>
parents:
15271
diff
changeset
|
318 double erfcx (double x) { return Faddeeva::erfcx(x); } |
2fac72a256ce
Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package.
Steven G. Johnson <stevenj@alum.mit.edu>
parents:
15271
diff
changeset
|
319 Complex |
2fac72a256ce
Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package.
Steven G. Johnson <stevenj@alum.mit.edu>
parents:
15271
diff
changeset
|
320 erfcx (const Complex& x) |
2fac72a256ce
Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package.
Steven G. Johnson <stevenj@alum.mit.edu>
parents:
15271
diff
changeset
|
321 { |
2fac72a256ce
Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package.
Steven G. Johnson <stevenj@alum.mit.edu>
parents:
15271
diff
changeset
|
322 return Faddeeva::erfcx (x); |
2fac72a256ce
Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package.
Steven G. Johnson <stevenj@alum.mit.edu>
parents:
15271
diff
changeset
|
323 } |
2fac72a256ce
Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package.
Steven G. Johnson <stevenj@alum.mit.edu>
parents:
15271
diff
changeset
|
324 FloatComplex |
2fac72a256ce
Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package.
Steven G. Johnson <stevenj@alum.mit.edu>
parents:
15271
diff
changeset
|
325 erfcx (const FloatComplex& x) |
2fac72a256ce
Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package.
Steven G. Johnson <stevenj@alum.mit.edu>
parents:
15271
diff
changeset
|
326 { |
2fac72a256ce
Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package.
Steven G. Johnson <stevenj@alum.mit.edu>
parents:
15271
diff
changeset
|
327 Complex xd (real (x), imag (x)); |
2fac72a256ce
Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package.
Steven G. Johnson <stevenj@alum.mit.edu>
parents:
15271
diff
changeset
|
328 Complex ret = Faddeeva::erfcx (xd, std::numeric_limits<float>::epsilon ()); |
2fac72a256ce
Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package.
Steven G. Johnson <stevenj@alum.mit.edu>
parents:
15271
diff
changeset
|
329 return FloatComplex (real (ret), imag (ret)); |
2fac72a256ce
Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package.
Steven G. Johnson <stevenj@alum.mit.edu>
parents:
15271
diff
changeset
|
330 } |
2fac72a256ce
Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package.
Steven G. Johnson <stevenj@alum.mit.edu>
parents:
15271
diff
changeset
|
331 |
2fac72a256ce
Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package.
Steven G. Johnson <stevenj@alum.mit.edu>
parents:
15271
diff
changeset
|
332 // Real and complex imaginary error function from Faddeeva package |
2fac72a256ce
Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package.
Steven G. Johnson <stevenj@alum.mit.edu>
parents:
15271
diff
changeset
|
333 float erfi (float x) { return Faddeeva::erfi(x); } |
2fac72a256ce
Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package.
Steven G. Johnson <stevenj@alum.mit.edu>
parents:
15271
diff
changeset
|
334 double erfi (double x) { return Faddeeva::erfi(x); } |
2fac72a256ce
Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package.
Steven G. Johnson <stevenj@alum.mit.edu>
parents:
15271
diff
changeset
|
335 Complex |
2fac72a256ce
Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package.
Steven G. Johnson <stevenj@alum.mit.edu>
parents:
15271
diff
changeset
|
336 erfi (const Complex& x) |
2fac72a256ce
Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package.
Steven G. Johnson <stevenj@alum.mit.edu>
parents:
15271
diff
changeset
|
337 { |
2fac72a256ce
Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package.
Steven G. Johnson <stevenj@alum.mit.edu>
parents:
15271
diff
changeset
|
338 return Faddeeva::erfi (x); |
2fac72a256ce
Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package.
Steven G. Johnson <stevenj@alum.mit.edu>
parents:
15271
diff
changeset
|
339 } |
2fac72a256ce
Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package.
Steven G. Johnson <stevenj@alum.mit.edu>
parents:
15271
diff
changeset
|
340 FloatComplex |
2fac72a256ce
Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package.
Steven G. Johnson <stevenj@alum.mit.edu>
parents:
15271
diff
changeset
|
341 erfi (const FloatComplex& x) |
2fac72a256ce
Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package.
Steven G. Johnson <stevenj@alum.mit.edu>
parents:
15271
diff
changeset
|
342 { |
2fac72a256ce
Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package.
Steven G. Johnson <stevenj@alum.mit.edu>
parents:
15271
diff
changeset
|
343 Complex xd (real (x), imag (x)); |
2fac72a256ce
Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package.
Steven G. Johnson <stevenj@alum.mit.edu>
parents:
15271
diff
changeset
|
344 Complex ret = Faddeeva::erfi (xd, std::numeric_limits<float>::epsilon ()); |
2fac72a256ce
Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package.
Steven G. Johnson <stevenj@alum.mit.edu>
parents:
15271
diff
changeset
|
345 return FloatComplex (real (ret), imag (ret)); |
2fac72a256ce
Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package.
Steven G. Johnson <stevenj@alum.mit.edu>
parents:
15271
diff
changeset
|
346 } |
2fac72a256ce
Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package.
Steven G. Johnson <stevenj@alum.mit.edu>
parents:
15271
diff
changeset
|
347 |
2fac72a256ce
Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package.
Steven G. Johnson <stevenj@alum.mit.edu>
parents:
15271
diff
changeset
|
348 // Real and complex Dawson function (= scaled erfi) from Faddeeva package |
2fac72a256ce
Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package.
Steven G. Johnson <stevenj@alum.mit.edu>
parents:
15271
diff
changeset
|
349 float dawson (float x) { return Faddeeva::Dawson(x); } |
2fac72a256ce
Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package.
Steven G. Johnson <stevenj@alum.mit.edu>
parents:
15271
diff
changeset
|
350 double dawson (double x) { return Faddeeva::Dawson(x); } |
2fac72a256ce
Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package.
Steven G. Johnson <stevenj@alum.mit.edu>
parents:
15271
diff
changeset
|
351 Complex |
2fac72a256ce
Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package.
Steven G. Johnson <stevenj@alum.mit.edu>
parents:
15271
diff
changeset
|
352 dawson (const Complex& x) |
2fac72a256ce
Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package.
Steven G. Johnson <stevenj@alum.mit.edu>
parents:
15271
diff
changeset
|
353 { |
2fac72a256ce
Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package.
Steven G. Johnson <stevenj@alum.mit.edu>
parents:
15271
diff
changeset
|
354 return Faddeeva::Dawson (x); |
2fac72a256ce
Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package.
Steven G. Johnson <stevenj@alum.mit.edu>
parents:
15271
diff
changeset
|
355 } |
2fac72a256ce
Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package.
Steven G. Johnson <stevenj@alum.mit.edu>
parents:
15271
diff
changeset
|
356 FloatComplex |
2fac72a256ce
Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package.
Steven G. Johnson <stevenj@alum.mit.edu>
parents:
15271
diff
changeset
|
357 dawson (const FloatComplex& x) |
2fac72a256ce
Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package.
Steven G. Johnson <stevenj@alum.mit.edu>
parents:
15271
diff
changeset
|
358 { |
2fac72a256ce
Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package.
Steven G. Johnson <stevenj@alum.mit.edu>
parents:
15271
diff
changeset
|
359 Complex xd (real (x), imag (x)); |
2fac72a256ce
Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package.
Steven G. Johnson <stevenj@alum.mit.edu>
parents:
15271
diff
changeset
|
360 Complex ret = Faddeeva::Dawson (xd, std::numeric_limits<float>::epsilon ()); |
2fac72a256ce
Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package.
Steven G. Johnson <stevenj@alum.mit.edu>
parents:
15271
diff
changeset
|
361 return FloatComplex (real (ret), imag (ret)); |
2fac72a256ce
Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package.
Steven G. Johnson <stevenj@alum.mit.edu>
parents:
15271
diff
changeset
|
362 } |
2fac72a256ce
Add complex erf,erfc,erfcx,erfi,dawson routines from Faddeeva package.
Steven G. Johnson <stevenj@alum.mit.edu>
parents:
15271
diff
changeset
|
363 |
3146 | 364 double |
3156 | 365 xgamma (double x) |
3146 | 366 { |
3156 | 367 double result; |
5701 | 368 |
19552
c6437824681c
improve Matlab compatibility for gamma function (bug #43551)
John W. Eaton <jwe@octave.org>
parents:
17769
diff
changeset
|
369 // Special cases for (near) compatibility with Matlab instead of |
c6437824681c
improve Matlab compatibility for gamma function (bug #43551)
John W. Eaton <jwe@octave.org>
parents:
17769
diff
changeset
|
370 // tgamma. Matlab does not have -0. |
c6437824681c
improve Matlab compatibility for gamma function (bug #43551)
John W. Eaton <jwe@octave.org>
parents:
17769
diff
changeset
|
371 |
c6437824681c
improve Matlab compatibility for gamma function (bug #43551)
John W. Eaton <jwe@octave.org>
parents:
17769
diff
changeset
|
372 if (x == 0) |
c6437824681c
improve Matlab compatibility for gamma function (bug #43551)
John W. Eaton <jwe@octave.org>
parents:
17769
diff
changeset
|
373 result = xnegative_sign (x) ? -octave_Inf : octave_Inf; |
c6437824681c
improve Matlab compatibility for gamma function (bug #43551)
John W. Eaton <jwe@octave.org>
parents:
17769
diff
changeset
|
374 else if ((x < 0 && D_NINT (x) == x) || xisinf (x)) |
c6437824681c
improve Matlab compatibility for gamma function (bug #43551)
John W. Eaton <jwe@octave.org>
parents:
17769
diff
changeset
|
375 result = octave_Inf; |
c6437824681c
improve Matlab compatibility for gamma function (bug #43551)
John W. Eaton <jwe@octave.org>
parents:
17769
diff
changeset
|
376 else if (xisnan (x)) |
17708
f10b7a578e2c
Correct return values of gamma() (see Numerical, item 3 on Projects page).
Craig Hudson <c_hudson_phd@hotmail.com>
parents:
17502
diff
changeset
|
377 result = octave_NaN; |
5701 | 378 else |
17708
f10b7a578e2c
Correct return values of gamma() (see Numerical, item 3 on Projects page).
Craig Hudson <c_hudson_phd@hotmail.com>
parents:
17502
diff
changeset
|
379 { |
11327
ef0e995f8c0f
correctly compute gamma for negative integer values when tgamma is available
Marco Atzeri <marco_atzeri@yahoo.it>
parents:
10902
diff
changeset
|
380 #if defined (HAVE_TGAMMA) |
17708
f10b7a578e2c
Correct return values of gamma() (see Numerical, item 3 on Projects page).
Craig Hudson <c_hudson_phd@hotmail.com>
parents:
17502
diff
changeset
|
381 result = tgamma (x); |
11327
ef0e995f8c0f
correctly compute gamma for negative integer values when tgamma is available
Marco Atzeri <marco_atzeri@yahoo.it>
parents:
10902
diff
changeset
|
382 #else |
17708
f10b7a578e2c
Correct return values of gamma() (see Numerical, item 3 on Projects page).
Craig Hudson <c_hudson_phd@hotmail.com>
parents:
17502
diff
changeset
|
383 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
|
384 #endif |
17708
f10b7a578e2c
Correct return values of gamma() (see Numerical, item 3 on Projects page).
Craig Hudson <c_hudson_phd@hotmail.com>
parents:
17502
diff
changeset
|
385 } |
6969 | 386 |
3156 | 387 return result; |
3146 | 388 } |
389 | |
390 double | |
3156 | 391 xlgamma (double x) |
3146 | 392 { |
6969 | 393 #if defined (HAVE_LGAMMA) |
394 return lgamma (x); | |
395 #else | |
3156 | 396 double result; |
3146 | 397 double sgngam; |
4497 | 398 |
5701 | 399 if (xisnan (x)) |
400 result = x; | |
10902
9a64e02e2aad
Validate input arguments for gamma, lgamma.
Tatsuro MATSUOKA <tmacchant@yahoo.co.jp>
parents:
10521
diff
changeset
|
401 else if ((x <= 0 && D_NINT (x) == x) || xisinf (x)) |
5701 | 402 result = octave_Inf; |
5700 | 403 else |
404 F77_XFCN (dlgams, DLGAMS, (x, result, sgngam)); | |
4497 | 405 |
3156 | 406 return result; |
6969 | 407 #endif |
6961 | 408 } |
409 | |
7601
8a939b217863
Treat negative values to lgamma and beta correctly
David Bateman <dbateman@free.fr>
parents:
7176
diff
changeset
|
410 Complex |
9812
f80c566bc751
improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents:
9732
diff
changeset
|
411 rc_lgamma (double x) |
7601
8a939b217863
Treat negative values to lgamma and beta correctly
David Bateman <dbateman@free.fr>
parents:
7176
diff
changeset
|
412 { |
8a939b217863
Treat negative values to lgamma and beta correctly
David Bateman <dbateman@free.fr>
parents:
7176
diff
changeset
|
413 double result; |
8a939b217863
Treat negative values to lgamma and beta correctly
David Bateman <dbateman@free.fr>
parents:
7176
diff
changeset
|
414 |
8a939b217863
Treat negative values to lgamma and beta correctly
David Bateman <dbateman@free.fr>
parents:
7176
diff
changeset
|
415 #if defined (HAVE_LGAMMA_R) |
8a939b217863
Treat negative values to lgamma and beta correctly
David Bateman <dbateman@free.fr>
parents:
7176
diff
changeset
|
416 int sgngam; |
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
417 result = lgamma_r (x, &sgngam); |
7601
8a939b217863
Treat negative values to lgamma and beta correctly
David Bateman <dbateman@free.fr>
parents:
7176
diff
changeset
|
418 #else |
8a939b217863
Treat negative values to lgamma and beta correctly
David Bateman <dbateman@free.fr>
parents:
7176
diff
changeset
|
419 double sgngam; |
8a939b217863
Treat negative values to lgamma and beta correctly
David Bateman <dbateman@free.fr>
parents:
7176
diff
changeset
|
420 |
8a939b217863
Treat negative values to lgamma and beta correctly
David Bateman <dbateman@free.fr>
parents:
7176
diff
changeset
|
421 if (xisnan (x)) |
8a939b217863
Treat negative values to lgamma and beta correctly
David Bateman <dbateman@free.fr>
parents:
7176
diff
changeset
|
422 result = x; |
10902
9a64e02e2aad
Validate input arguments for gamma, lgamma.
Tatsuro MATSUOKA <tmacchant@yahoo.co.jp>
parents:
10521
diff
changeset
|
423 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
|
424 result = octave_Inf; |
8a939b217863
Treat negative values to lgamma and beta correctly
David Bateman <dbateman@free.fr>
parents:
7176
diff
changeset
|
425 else |
8a939b217863
Treat negative values to lgamma and beta correctly
David Bateman <dbateman@free.fr>
parents:
7176
diff
changeset
|
426 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
|
427 |
8a939b217863
Treat negative values to lgamma and beta correctly
David Bateman <dbateman@free.fr>
parents:
7176
diff
changeset
|
428 #endif |
8a939b217863
Treat negative values to lgamma and beta correctly
David Bateman <dbateman@free.fr>
parents:
7176
diff
changeset
|
429 |
8a939b217863
Treat negative values to lgamma and beta correctly
David Bateman <dbateman@free.fr>
parents:
7176
diff
changeset
|
430 if (sgngam < 0) |
8a939b217863
Treat negative values to lgamma and beta correctly
David Bateman <dbateman@free.fr>
parents:
7176
diff
changeset
|
431 return result + Complex (0., M_PI); |
8a939b217863
Treat negative values to lgamma and beta correctly
David Bateman <dbateman@free.fr>
parents:
7176
diff
changeset
|
432 else |
8a939b217863
Treat negative values to lgamma and beta correctly
David Bateman <dbateman@free.fr>
parents:
7176
diff
changeset
|
433 return result; |
8a939b217863
Treat negative values to lgamma and beta correctly
David Bateman <dbateman@free.fr>
parents:
7176
diff
changeset
|
434 } |
8a939b217863
Treat negative values to lgamma and beta correctly
David Bateman <dbateman@free.fr>
parents:
7176
diff
changeset
|
435 |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
436 float |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
437 xgamma (float x) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
438 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
439 float result; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
440 |
19552
c6437824681c
improve Matlab compatibility for gamma function (bug #43551)
John W. Eaton <jwe@octave.org>
parents:
17769
diff
changeset
|
441 // Special cases for (near) compatibility with Matlab instead of |
c6437824681c
improve Matlab compatibility for gamma function (bug #43551)
John W. Eaton <jwe@octave.org>
parents:
17769
diff
changeset
|
442 // tgamma. Matlab does not have -0. |
c6437824681c
improve Matlab compatibility for gamma function (bug #43551)
John W. Eaton <jwe@octave.org>
parents:
17769
diff
changeset
|
443 |
c6437824681c
improve Matlab compatibility for gamma function (bug #43551)
John W. Eaton <jwe@octave.org>
parents:
17769
diff
changeset
|
444 if (x == 0) |
c6437824681c
improve Matlab compatibility for gamma function (bug #43551)
John W. Eaton <jwe@octave.org>
parents:
17769
diff
changeset
|
445 result = xnegative_sign (x) ? -octave_Float_Inf : octave_Float_Inf; |
c6437824681c
improve Matlab compatibility for gamma function (bug #43551)
John W. Eaton <jwe@octave.org>
parents:
17769
diff
changeset
|
446 else if ((x < 0 && D_NINT (x) == x) || xisinf (x)) |
c6437824681c
improve Matlab compatibility for gamma function (bug #43551)
John W. Eaton <jwe@octave.org>
parents:
17769
diff
changeset
|
447 result = octave_Float_Inf; |
c6437824681c
improve Matlab compatibility for gamma function (bug #43551)
John W. Eaton <jwe@octave.org>
parents:
17769
diff
changeset
|
448 else if (xisnan (x)) |
17708
f10b7a578e2c
Correct return values of gamma() (see Numerical, item 3 on Projects page).
Craig Hudson <c_hudson_phd@hotmail.com>
parents:
17502
diff
changeset
|
449 result = octave_Float_NaN; |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
450 else |
17708
f10b7a578e2c
Correct return values of gamma() (see Numerical, item 3 on Projects page).
Craig Hudson <c_hudson_phd@hotmail.com>
parents:
17502
diff
changeset
|
451 { |
f10b7a578e2c
Correct return values of gamma() (see Numerical, item 3 on Projects page).
Craig Hudson <c_hudson_phd@hotmail.com>
parents:
17502
diff
changeset
|
452 #if defined (HAVE_TGAMMA) |
f10b7a578e2c
Correct return values of gamma() (see Numerical, item 3 on Projects page).
Craig Hudson <c_hudson_phd@hotmail.com>
parents:
17502
diff
changeset
|
453 result = tgammaf (x); |
11327
ef0e995f8c0f
correctly compute gamma for negative integer values when tgamma is available
Marco Atzeri <marco_atzeri@yahoo.it>
parents:
10902
diff
changeset
|
454 #else |
17708
f10b7a578e2c
Correct return values of gamma() (see Numerical, item 3 on Projects page).
Craig Hudson <c_hudson_phd@hotmail.com>
parents:
17502
diff
changeset
|
455 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
|
456 #endif |
17708
f10b7a578e2c
Correct return values of gamma() (see Numerical, item 3 on Projects page).
Craig Hudson <c_hudson_phd@hotmail.com>
parents:
17502
diff
changeset
|
457 } |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
458 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
459 return result; |
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 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
462 float |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
463 xlgamma (float x) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
464 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
465 #if defined (HAVE_LGAMMAF) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
466 return lgammaf (x); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
467 #else |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
468 float result; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
469 float sgngam; |
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 if (xisnan (x)) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
472 result = x; |
10902
9a64e02e2aad
Validate input arguments for gamma, lgamma.
Tatsuro MATSUOKA <tmacchant@yahoo.co.jp>
parents:
10521
diff
changeset
|
473 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
|
474 result = octave_Float_Inf; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
475 else |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
476 F77_XFCN (algams, ALGAMS, (x, result, sgngam)); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
477 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
478 return result; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
479 #endif |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
480 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
481 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
482 FloatComplex |
9812
f80c566bc751
improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents:
9732
diff
changeset
|
483 rc_lgamma (float x) |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
484 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
485 float result; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
486 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
487 #if defined (HAVE_LGAMMAF_R) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
488 int sgngam; |
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
489 result = lgammaf_r (x, &sgngam); |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
490 #else |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
491 float sgngam; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
492 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
493 if (xisnan (x)) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
494 result = x; |
10902
9a64e02e2aad
Validate input arguments for gamma, lgamma.
Tatsuro MATSUOKA <tmacchant@yahoo.co.jp>
parents:
10521
diff
changeset
|
495 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
|
496 result = octave_Float_Inf; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
497 else |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
498 F77_XFCN (algams, ALGAMS, (x, result, sgngam)); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
499 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
500 #endif |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
501 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
502 if (sgngam < 0) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
503 return result + FloatComplex (0., M_PI); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
504 else |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
505 return result; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
506 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
507 |
7638
2df457529cfa
implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7601
diff
changeset
|
508 #if !defined (HAVE_EXPM1) |
2df457529cfa
implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7601
diff
changeset
|
509 double |
2df457529cfa
implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7601
diff
changeset
|
510 expm1 (double x) |
2df457529cfa
implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7601
diff
changeset
|
511 { |
2df457529cfa
implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7601
diff
changeset
|
512 double retval; |
2df457529cfa
implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7601
diff
changeset
|
513 |
2df457529cfa
implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7601
diff
changeset
|
514 double ax = fabs (x); |
2df457529cfa
implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7601
diff
changeset
|
515 |
2df457529cfa
implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7601
diff
changeset
|
516 if (ax < 0.1) |
2df457529cfa
implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7601
diff
changeset
|
517 { |
2df457529cfa
implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7601
diff
changeset
|
518 ax /= 16; |
2df457529cfa
implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7601
diff
changeset
|
519 |
2df457529cfa
implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7601
diff
changeset
|
520 // use Taylor series to calculate exp(x)-1. |
2df457529cfa
implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7601
diff
changeset
|
521 double t = ax; |
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
522 double s = 0; |
7638
2df457529cfa
implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7601
diff
changeset
|
523 for (int i = 2; i < 7; i++) |
2df457529cfa
implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7601
diff
changeset
|
524 s += (t *= ax/i); |
2df457529cfa
implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7601
diff
changeset
|
525 s += ax; |
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 // 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
|
528 double e = s; |
2df457529cfa
implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7601
diff
changeset
|
529 for (int i = 0; i < 4; i++) |
2df457529cfa
implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7601
diff
changeset
|
530 { |
2df457529cfa
implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7601
diff
changeset
|
531 s *= e + 2; |
2df457529cfa
implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7601
diff
changeset
|
532 e *= e + 2; |
2df457529cfa
implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7601
diff
changeset
|
533 } |
2df457529cfa
implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7601
diff
changeset
|
534 |
2df457529cfa
implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7601
diff
changeset
|
535 retval = (x > 0) ? s : -s / (1+s); |
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 else |
2df457529cfa
implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7601
diff
changeset
|
538 retval = exp (x) - 1; |
2df457529cfa
implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7601
diff
changeset
|
539 |
2df457529cfa
implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7601
diff
changeset
|
540 return retval; |
2df457529cfa
implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7601
diff
changeset
|
541 } |
2df457529cfa
implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7601
diff
changeset
|
542 #endif |
2df457529cfa
implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7601
diff
changeset
|
543 |
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
544 Complex |
15018
3d8ace26c5b4
maint: Use Octave coding conventions for cuddled parentheses in liboctave/.
Rik <rik@octave.org>
parents:
14847
diff
changeset
|
545 expm1 (const Complex& x) |
7638
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 Complex retval; |
2df457529cfa
implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7601
diff
changeset
|
548 |
2df457529cfa
implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7601
diff
changeset
|
549 if (std:: abs (x) < 1) |
2df457529cfa
implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7601
diff
changeset
|
550 { |
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
|
551 double im = x.imag (); |
7638
2df457529cfa
implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7601
diff
changeset
|
552 double u = expm1 (x.real ()); |
2df457529cfa
implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7601
diff
changeset
|
553 double v = sin (im/2); |
2df457529cfa
implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7601
diff
changeset
|
554 v = -2*v*v; |
2df457529cfa
implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7601
diff
changeset
|
555 retval = Complex (u*v + u + v, (u+1) * sin (im)); |
2df457529cfa
implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7601
diff
changeset
|
556 } |
2df457529cfa
implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7601
diff
changeset
|
557 else |
2df457529cfa
implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7601
diff
changeset
|
558 retval = std::exp (x) - Complex (1); |
2df457529cfa
implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7601
diff
changeset
|
559 |
2df457529cfa
implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7601
diff
changeset
|
560 return retval; |
2df457529cfa
implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7601
diff
changeset
|
561 } |
2df457529cfa
implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7601
diff
changeset
|
562 |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
563 #if !defined (HAVE_EXPM1F) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
564 float |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
565 expm1f (float x) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
566 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
567 float retval; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
568 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
569 float ax = fabs (x); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
570 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
571 if (ax < 0.1) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
572 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
573 ax /= 16; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
574 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
575 // use Taylor series to calculate exp(x)-1. |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
576 float t = ax; |
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
577 float s = 0; |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
578 for (int i = 2; i < 7; i++) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
579 s += (t *= ax/i); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
580 s += ax; |
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 // 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
|
583 float e = s; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
584 for (int i = 0; i < 4; i++) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
585 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
586 s *= e + 2; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
587 e *= e + 2; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
588 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
589 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
590 retval = (x > 0) ? s : -s / (1+s); |
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 else |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
593 retval = exp (x) - 1; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
594 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
595 return retval; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
596 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
597 #endif |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
598 |
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
599 FloatComplex |
15018
3d8ace26c5b4
maint: Use Octave coding conventions for cuddled parentheses in liboctave/.
Rik <rik@octave.org>
parents:
14847
diff
changeset
|
600 expm1 (const FloatComplex& x) |
7789
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 FloatComplex retval; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
603 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
604 if (std:: abs (x) < 1) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
605 { |
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
|
606 float im = x.imag (); |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
607 float u = expm1 (x.real ()); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
608 float v = sin (im/2); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
609 v = -2*v*v; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
610 retval = FloatComplex (u*v + u + v, (u+1) * sin (im)); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
611 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
612 else |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
613 retval = std::exp (x) - FloatComplex (1); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
614 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
615 return retval; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
616 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
617 |
7638
2df457529cfa
implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7601
diff
changeset
|
618 #if !defined (HAVE_LOG1P) |
2df457529cfa
implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7601
diff
changeset
|
619 double |
2df457529cfa
implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7601
diff
changeset
|
620 log1p (double x) |
2df457529cfa
implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7601
diff
changeset
|
621 { |
2df457529cfa
implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7601
diff
changeset
|
622 double retval; |
2df457529cfa
implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7601
diff
changeset
|
623 |
2df457529cfa
implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7601
diff
changeset
|
624 double ax = fabs (x); |
2df457529cfa
implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7601
diff
changeset
|
625 |
2df457529cfa
implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7601
diff
changeset
|
626 if (ax < 0.2) |
2df457529cfa
implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7601
diff
changeset
|
627 { |
17769
49a5a4be04a1
maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
628 // approximation log (1+x) ~ 2*sum ((x/(2+x)).^ii ./ ii), ii = 1:2:2n+1 |
7638
2df457529cfa
implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7601
diff
changeset
|
629 double u = x / (2 + x), t = 1, s = 0; |
2df457529cfa
implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7601
diff
changeset
|
630 for (int i = 2; i < 12; i += 2) |
2df457529cfa
implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7601
diff
changeset
|
631 s += (t *= u*u) / (i+1); |
2df457529cfa
implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7601
diff
changeset
|
632 |
2df457529cfa
implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7601
diff
changeset
|
633 retval = 2 * (s + 1) * u; |
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 else |
2df457529cfa
implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7601
diff
changeset
|
636 retval = log (1 + x); |
2df457529cfa
implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7601
diff
changeset
|
637 |
2df457529cfa
implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7601
diff
changeset
|
638 return retval; |
2df457529cfa
implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7601
diff
changeset
|
639 } |
2df457529cfa
implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7601
diff
changeset
|
640 #endif |
2df457529cfa
implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7601
diff
changeset
|
641 |
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
642 Complex |
7638
2df457529cfa
implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7601
diff
changeset
|
643 log1p (const Complex& x) |
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 Complex retval; |
2df457529cfa
implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7601
diff
changeset
|
646 |
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
|
647 double r = x.real (), i = x.imag (); |
7638
2df457529cfa
implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7601
diff
changeset
|
648 |
2df457529cfa
implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7601
diff
changeset
|
649 if (fabs (r) < 0.5 && fabs (i) < 0.5) |
2df457529cfa
implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7601
diff
changeset
|
650 { |
2df457529cfa
implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7601
diff
changeset
|
651 double u = 2*r + r*r + i*i; |
2df457529cfa
implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7601
diff
changeset
|
652 retval = Complex (log1p (u / (1+sqrt (u+1))), |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
653 atan2 (1 + r, i)); |
7638
2df457529cfa
implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7601
diff
changeset
|
654 } |
2df457529cfa
implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7601
diff
changeset
|
655 else |
15018
3d8ace26c5b4
maint: Use Octave coding conventions for cuddled parentheses in liboctave/.
Rik <rik@octave.org>
parents:
14847
diff
changeset
|
656 retval = std::log (Complex (1) + x); |
7638
2df457529cfa
implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7601
diff
changeset
|
657 |
2df457529cfa
implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7601
diff
changeset
|
658 return retval; |
2df457529cfa
implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7601
diff
changeset
|
659 } |
2df457529cfa
implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7601
diff
changeset
|
660 |
10414
2a8b1db1e2ca
implement built-in cbrt
Jaroslav Hajek <highegg@gmail.com>
parents:
10391
diff
changeset
|
661 #if !defined (HAVE_CBRT) |
2a8b1db1e2ca
implement built-in cbrt
Jaroslav Hajek <highegg@gmail.com>
parents:
10391
diff
changeset
|
662 double cbrt (double x) |
2a8b1db1e2ca
implement built-in cbrt
Jaroslav Hajek <highegg@gmail.com>
parents:
10391
diff
changeset
|
663 { |
2a8b1db1e2ca
implement built-in cbrt
Jaroslav Hajek <highegg@gmail.com>
parents:
10391
diff
changeset
|
664 static const double one_third = 0.3333333333333333333; |
2a8b1db1e2ca
implement built-in cbrt
Jaroslav Hajek <highegg@gmail.com>
parents:
10391
diff
changeset
|
665 if (xfinite (x)) |
2a8b1db1e2ca
implement built-in cbrt
Jaroslav Hajek <highegg@gmail.com>
parents:
10391
diff
changeset
|
666 { |
2a8b1db1e2ca
implement built-in cbrt
Jaroslav Hajek <highegg@gmail.com>
parents:
10391
diff
changeset
|
667 // Use pow. |
2a8b1db1e2ca
implement built-in cbrt
Jaroslav Hajek <highegg@gmail.com>
parents:
10391
diff
changeset
|
668 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
|
669 // Correct for better accuracy. |
2a8b1db1e2ca
implement built-in cbrt
Jaroslav Hajek <highegg@gmail.com>
parents:
10391
diff
changeset
|
670 return (x / (y*y) + y + y) / 3; |
2a8b1db1e2ca
implement built-in cbrt
Jaroslav Hajek <highegg@gmail.com>
parents:
10391
diff
changeset
|
671 } |
2a8b1db1e2ca
implement built-in cbrt
Jaroslav Hajek <highegg@gmail.com>
parents:
10391
diff
changeset
|
672 else |
2a8b1db1e2ca
implement built-in cbrt
Jaroslav Hajek <highegg@gmail.com>
parents:
10391
diff
changeset
|
673 return x; |
2a8b1db1e2ca
implement built-in cbrt
Jaroslav Hajek <highegg@gmail.com>
parents:
10391
diff
changeset
|
674 } |
2a8b1db1e2ca
implement built-in cbrt
Jaroslav Hajek <highegg@gmail.com>
parents:
10391
diff
changeset
|
675 #endif |
2a8b1db1e2ca
implement built-in cbrt
Jaroslav Hajek <highegg@gmail.com>
parents:
10391
diff
changeset
|
676 |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
677 #if !defined (HAVE_LOG1PF) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
678 float |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
679 log1pf (float x) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
680 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
681 float retval; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
682 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
683 float ax = fabs (x); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
684 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
685 if (ax < 0.2) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
686 { |
17769
49a5a4be04a1
maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
687 // approximation log (1+x) ~ 2*sum ((x/(2+x)).^ii ./ ii), ii = 1:2:2n+1 |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
688 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
|
689 for (int i = 2; i < 12; i += 2) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
690 s += (t *= u*u) / (i+1); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
691 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
692 retval = 2 * (s + 1) * u; |
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 else |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
695 retval = log (1 + x); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
696 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
697 return retval; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
698 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
699 #endif |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
700 |
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
701 FloatComplex |
9812
f80c566bc751
improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents:
9732
diff
changeset
|
702 log1p (const FloatComplex& x) |
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 FloatComplex retval; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
705 |
14816
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
706 float r = x.real (), i = x.imag (); |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
707 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
708 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
|
709 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
710 float u = 2*r + r*r + i*i; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
711 retval = FloatComplex (log1p (u / (1+sqrt (u+1))), |
17769
49a5a4be04a1
maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
712 atan2 (1 + r, i)); |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
713 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
714 else |
15018
3d8ace26c5b4
maint: Use Octave coding conventions for cuddled parentheses in liboctave/.
Rik <rik@octave.org>
parents:
14847
diff
changeset
|
715 retval = std::log (FloatComplex (1) + x); |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
716 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
717 return retval; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
718 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
719 |
10414
2a8b1db1e2ca
implement built-in cbrt
Jaroslav Hajek <highegg@gmail.com>
parents:
10391
diff
changeset
|
720 #if !defined (HAVE_CBRTF) |
2a8b1db1e2ca
implement built-in cbrt
Jaroslav Hajek <highegg@gmail.com>
parents:
10391
diff
changeset
|
721 float cbrtf (float x) |
2a8b1db1e2ca
implement built-in cbrt
Jaroslav Hajek <highegg@gmail.com>
parents:
10391
diff
changeset
|
722 { |
2a8b1db1e2ca
implement built-in cbrt
Jaroslav Hajek <highegg@gmail.com>
parents:
10391
diff
changeset
|
723 static const float one_third = 0.3333333333333333333f; |
2a8b1db1e2ca
implement built-in cbrt
Jaroslav Hajek <highegg@gmail.com>
parents:
10391
diff
changeset
|
724 if (xfinite (x)) |
2a8b1db1e2ca
implement built-in cbrt
Jaroslav Hajek <highegg@gmail.com>
parents:
10391
diff
changeset
|
725 { |
2a8b1db1e2ca
implement built-in cbrt
Jaroslav Hajek <highegg@gmail.com>
parents:
10391
diff
changeset
|
726 // Use pow. |
2a8b1db1e2ca
implement built-in cbrt
Jaroslav Hajek <highegg@gmail.com>
parents:
10391
diff
changeset
|
727 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
|
728 // Correct for better accuracy. |
2a8b1db1e2ca
implement built-in cbrt
Jaroslav Hajek <highegg@gmail.com>
parents:
10391
diff
changeset
|
729 return (x / (y*y) + y + y) / 3; |
2a8b1db1e2ca
implement built-in cbrt
Jaroslav Hajek <highegg@gmail.com>
parents:
10391
diff
changeset
|
730 } |
2a8b1db1e2ca
implement built-in cbrt
Jaroslav Hajek <highegg@gmail.com>
parents:
10391
diff
changeset
|
731 else |
2a8b1db1e2ca
implement built-in cbrt
Jaroslav Hajek <highegg@gmail.com>
parents:
10391
diff
changeset
|
732 return x; |
2a8b1db1e2ca
implement built-in cbrt
Jaroslav Hajek <highegg@gmail.com>
parents:
10391
diff
changeset
|
733 } |
2a8b1db1e2ca
implement built-in cbrt
Jaroslav Hajek <highegg@gmail.com>
parents:
10391
diff
changeset
|
734 #endif |
2a8b1db1e2ca
implement built-in cbrt
Jaroslav Hajek <highegg@gmail.com>
parents:
10391
diff
changeset
|
735 |
3220 | 736 static inline Complex |
5275 | 737 zbesj (const Complex& z, double alpha, int kode, octave_idx_type& ierr); |
3220 | 738 |
739 static inline Complex | |
5275 | 740 zbesy (const Complex& z, double alpha, int kode, octave_idx_type& ierr); |
3220 | 741 |
742 static inline Complex | |
5275 | 743 zbesi (const Complex& z, double alpha, int kode, octave_idx_type& ierr); |
3220 | 744 |
745 static inline Complex | |
5275 | 746 zbesk (const Complex& z, double alpha, int kode, octave_idx_type& ierr); |
3220 | 747 |
748 static inline Complex | |
5275 | 749 zbesh1 (const Complex& z, double alpha, int kode, octave_idx_type& ierr); |
3220 | 750 |
751 static inline Complex | |
5275 | 752 zbesh2 (const Complex& z, double alpha, int kode, octave_idx_type& ierr); |
3220 | 753 |
754 static inline Complex | |
5275 | 755 bessel_return_value (const Complex& val, octave_idx_type ierr) |
3146 | 756 { |
3220 | 757 static const Complex inf_val = Complex (octave_Inf, octave_Inf); |
758 static const Complex nan_val = Complex (octave_NaN, octave_NaN); | |
759 | |
760 Complex retval; | |
761 | |
762 switch (ierr) | |
763 { | |
764 case 0: | |
765 case 3: | |
766 retval = val; | |
767 break; | |
768 | |
769 case 2: | |
770 retval = inf_val; | |
771 break; | |
772 | |
773 default: | |
774 retval = nan_val; | |
775 break; | |
776 } | |
777 | |
3146 | 778 return retval; |
779 } | |
780 | |
4911 | 781 static inline bool |
782 is_integer_value (double x) | |
783 { | |
784 return x == static_cast<double> (static_cast<long> (x)); | |
785 } | |
786 | |
3220 | 787 static inline Complex |
5275 | 788 zbesj (const Complex& z, double alpha, int kode, octave_idx_type& ierr) |
3146 | 789 { |
3220 | 790 Complex retval; |
791 | |
792 if (alpha >= 0.0) | |
793 { | |
794 double yr = 0.0; | |
795 double yi = 0.0; | |
796 | |
5275 | 797 octave_idx_type nz; |
3220 | 798 |
799 double zr = z.real (); | |
800 double zi = z.imag (); | |
801 | |
4506 | 802 F77_FUNC (zbesj, ZBESJ) (zr, zi, alpha, 2, 1, &yr, &yi, nz, ierr); |
803 | |
804 if (kode != 2) | |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
805 { |
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
806 double expz = exp (std::abs (zi)); |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
807 yr *= expz; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
808 yi *= expz; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
809 } |
3220 | 810 |
4490 | 811 if (zi == 0.0 && zr >= 0.0) |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
812 yi = 0.0; |
3220 | 813 |
814 retval = bessel_return_value (Complex (yr, yi), ierr); | |
815 } | |
4911 | 816 else if (is_integer_value (alpha)) |
817 { | |
818 // zbesy can overflow as z->0, and cause troubles for generic case below | |
819 alpha = -alpha; | |
820 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
|
821 if ((static_cast <long> (alpha)) & 1) |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
822 tmp = - tmp; |
4911 | 823 retval = bessel_return_value (tmp, ierr); |
824 } | |
3220 | 825 else |
826 { | |
827 alpha = -alpha; | |
828 | |
829 Complex tmp = cos (M_PI * alpha) * zbesj (z, alpha, kode, ierr); | |
830 | |
831 if (ierr == 0 || ierr == 3) | |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
832 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
833 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
|
834 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
835 retval = bessel_return_value (tmp, ierr); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
836 } |
3220 | 837 else |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
838 retval = Complex (octave_NaN, octave_NaN); |
3220 | 839 } |
840 | |
3146 | 841 return retval; |
842 } | |
843 | |
3220 | 844 static inline Complex |
5275 | 845 zbesy (const Complex& z, double alpha, int kode, octave_idx_type& ierr) |
3146 | 846 { |
3220 | 847 Complex retval; |
3146 | 848 |
849 if (alpha >= 0.0) | |
850 { | |
3220 | 851 double yr = 0.0; |
852 double yi = 0.0; | |
853 | |
5275 | 854 octave_idx_type nz; |
3220 | 855 |
856 double wr, wi; | |
3146 | 857 |
3220 | 858 double zr = z.real (); |
859 double zi = z.imag (); | |
860 | |
861 ierr = 0; | |
862 | |
863 if (zr == 0.0 && zi == 0.0) | |
10314
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 yr = -octave_Inf; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
866 yi = 0.0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
867 } |
3220 | 868 else |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
869 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
870 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
|
871 &wr, &wi, ierr); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
872 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
873 if (kode != 2) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
874 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
875 double expz = exp (std::abs (zi)); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
876 yr *= expz; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
877 yi *= expz; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
878 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
879 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
880 if (zi == 0.0 && zr >= 0.0) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
881 yi = 0.0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
882 } |
3146 | 883 |
3220 | 884 return bessel_return_value (Complex (yr, yi), ierr); |
885 } | |
4911 | 886 else if (is_integer_value (alpha - 0.5)) |
887 { | |
888 // zbesy can overflow as z->0, and cause troubles for generic case below | |
889 alpha = -alpha; | |
890 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
|
891 if ((static_cast <long> (alpha - 0.5)) & 1) |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
892 tmp = - tmp; |
4911 | 893 retval = bessel_return_value (tmp, ierr); |
894 } | |
3220 | 895 else |
896 { | |
897 alpha = -alpha; | |
3146 | 898 |
3220 | 899 Complex tmp = cos (M_PI * alpha) * zbesy (z, alpha, kode, ierr); |
3146 | 900 |
3220 | 901 if (ierr == 0 || ierr == 3) |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
902 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
903 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
|
904 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
905 retval = bessel_return_value (tmp, ierr); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
906 } |
3220 | 907 else |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
908 retval = Complex (octave_NaN, octave_NaN); |
3220 | 909 } |
910 | |
911 return retval; | |
912 } | |
913 | |
914 static inline Complex | |
5275 | 915 zbesi (const Complex& z, double alpha, int kode, octave_idx_type& ierr) |
3220 | 916 { |
917 Complex retval; | |
3146 | 918 |
3220 | 919 if (alpha >= 0.0) |
920 { | |
921 double yr = 0.0; | |
922 double yi = 0.0; | |
923 | |
5275 | 924 octave_idx_type nz; |
3146 | 925 |
3220 | 926 double zr = z.real (); |
927 double zi = z.imag (); | |
928 | |
4506 | 929 F77_FUNC (zbesi, ZBESI) (zr, zi, alpha, 2, 1, &yr, &yi, nz, ierr); |
930 | |
931 if (kode != 2) | |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
932 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
933 double expz = exp (std::abs (zr)); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
934 yr *= expz; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
935 yi *= expz; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
936 } |
3146 | 937 |
4490 | 938 if (zi == 0.0 && zr >= 0.0) |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
939 yi = 0.0; |
3220 | 940 |
941 retval = bessel_return_value (Complex (yr, yi), ierr); | |
3146 | 942 } |
14196
35ce1eab7400
besseli: use special case for negative integer orders
John W. Eaton <jwe@octave.org>
parents:
14138
diff
changeset
|
943 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
|
944 { |
35ce1eab7400
besseli: use special case for negative integer orders
John W. Eaton <jwe@octave.org>
parents:
14138
diff
changeset
|
945 // 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
|
946 alpha = -alpha; |
35ce1eab7400
besseli: use special case for negative integer orders
John W. Eaton <jwe@octave.org>
parents:
14138
diff
changeset
|
947 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
|
948 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
|
949 } |
3146 | 950 else |
3220 | 951 { |
952 alpha = -alpha; | |
953 | |
954 Complex tmp = zbesi (z, alpha, kode, ierr); | |
955 | |
956 if (ierr == 0 || ierr == 3) | |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
957 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
958 Complex tmp2 = (2.0 / M_PI) * sin (M_PI * alpha) |
17769
49a5a4be04a1
maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
959 * zbesk (z, alpha, kode, ierr); |
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
960 |
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
961 if (kode == 2) |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
962 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
963 // 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
|
964 tmp2 *= exp (-z - std::abs (z.real ())); |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
965 } |
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
966 |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
967 tmp += tmp2; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
968 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
969 retval = bessel_return_value (tmp, ierr); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
970 } |
3220 | 971 else |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
972 retval = Complex (octave_NaN, octave_NaN); |
3220 | 973 } |
974 | |
975 return retval; | |
976 } | |
977 | |
978 static inline Complex | |
5275 | 979 zbesk (const Complex& z, double alpha, int kode, octave_idx_type& ierr) |
3220 | 980 { |
981 Complex retval; | |
982 | |
983 if (alpha >= 0.0) | |
984 { | |
985 double yr = 0.0; | |
986 double yi = 0.0; | |
987 | |
5275 | 988 octave_idx_type nz; |
3220 | 989 |
990 double zr = z.real (); | |
991 double zi = z.imag (); | |
992 | |
993 ierr = 0; | |
994 | |
995 if (zr == 0.0 && zi == 0.0) | |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
996 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
997 yr = octave_Inf; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
998 yi = 0.0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
999 } |
3220 | 1000 else |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
1001 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
1002 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
|
1003 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
1004 if (kode != 2) |
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 Complex expz = exp (-z); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
1007 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
1008 double rexpz = real (expz); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
1009 double iexpz = imag (expz); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
1010 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
1011 double tmp = yr*rexpz - yi*iexpz; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
1012 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
1013 yi = yr*iexpz + yi*rexpz; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
1014 yr = tmp; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
1015 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
1016 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
1017 if (zi == 0.0 && zr >= 0.0) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
1018 yi = 0.0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
1019 } |
3220 | 1020 |
1021 retval = bessel_return_value (Complex (yr, yi), ierr); | |
1022 } | |
1023 else | |
1024 { | |
1025 Complex tmp = zbesk (z, -alpha, kode, ierr); | |
1026 | |
1027 retval = bessel_return_value (tmp, ierr); | |
1028 } | |
3146 | 1029 |
1030 return retval; | |
1031 } | |
1032 | |
3220 | 1033 static inline Complex |
5275 | 1034 zbesh1 (const Complex& z, double alpha, int kode, octave_idx_type& ierr) |
3146 | 1035 { |
3220 | 1036 Complex retval; |
3146 | 1037 |
3220 | 1038 if (alpha >= 0.0) |
3146 | 1039 { |
3220 | 1040 double yr = 0.0; |
1041 double yi = 0.0; | |
1042 | |
5275 | 1043 octave_idx_type nz; |
3220 | 1044 |
1045 double zr = z.real (); | |
1046 double zi = z.imag (); | |
3146 | 1047 |
4506 | 1048 F77_FUNC (zbesh, ZBESH) (zr, zi, alpha, 2, 1, 1, &yr, &yi, nz, ierr); |
1049 | |
1050 if (kode != 2) | |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
1051 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
1052 Complex expz = exp (Complex (0.0, 1.0) * z); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
1053 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
1054 double rexpz = real (expz); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
1055 double iexpz = imag (expz); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
1056 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
1057 double tmp = yr*rexpz - yi*iexpz; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
1058 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
1059 yi = yr*iexpz + yi*rexpz; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
1060 yr = tmp; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
1061 } |
3146 | 1062 |
3220 | 1063 retval = bessel_return_value (Complex (yr, yi), ierr); |
1064 } | |
1065 else | |
1066 { | |
1067 alpha = -alpha; | |
1068 | |
1069 static const Complex eye = Complex (0.0, 1.0); | |
3146 | 1070 |
3220 | 1071 Complex tmp = exp (M_PI * alpha * eye) * zbesh1 (z, alpha, kode, ierr); |
3146 | 1072 |
3220 | 1073 retval = bessel_return_value (tmp, ierr); |
1074 } | |
3146 | 1075 |
3220 | 1076 return retval; |
1077 } | |
3146 | 1078 |
3220 | 1079 static inline Complex |
5275 | 1080 zbesh2 (const Complex& z, double alpha, int kode, octave_idx_type& ierr) |
3220 | 1081 { |
1082 Complex retval; | |
3146 | 1083 |
3220 | 1084 if (alpha >= 0.0) |
1085 { | |
1086 double yr = 0.0; | |
1087 double yi = 0.0; | |
1088 | |
5275 | 1089 octave_idx_type nz; |
3146 | 1090 |
3220 | 1091 double zr = z.real (); |
1092 double zi = z.imag (); | |
3146 | 1093 |
4506 | 1094 F77_FUNC (zbesh, ZBESH) (zr, zi, alpha, 2, 2, 1, &yr, &yi, nz, ierr); |
1095 | |
1096 if (kode != 2) | |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
1097 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
1098 Complex expz = exp (-Complex (0.0, 1.0) * z); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
1099 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
1100 double rexpz = real (expz); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
1101 double iexpz = imag (expz); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
1102 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
1103 double tmp = yr*rexpz - yi*iexpz; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
1104 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
1105 yi = yr*iexpz + yi*rexpz; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
1106 yr = tmp; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
1107 } |
3220 | 1108 |
1109 retval = bessel_return_value (Complex (yr, yi), ierr); | |
3146 | 1110 } |
1111 else | |
3220 | 1112 { |
1113 alpha = -alpha; | |
1114 | |
1115 static const Complex eye = Complex (0.0, 1.0); | |
1116 | |
1117 Complex tmp = exp (-M_PI * alpha * eye) * zbesh2 (z, alpha, kode, ierr); | |
1118 | |
1119 retval = bessel_return_value (tmp, ierr); | |
1120 } | |
1121 | |
1122 return retval; | |
1123 } | |
1124 | |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1125 typedef Complex (*dptr) (const Complex&, double, int, octave_idx_type&); |
3220 | 1126 |
1127 static inline Complex | |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1128 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
|
1129 bool scaled, octave_idx_type& ierr) |
3220 | 1130 { |
1131 Complex retval; | |
1132 | |
1133 retval = f (x, alpha, (scaled ? 2 : 1), ierr); | |
1134 | |
1135 return retval; | |
1136 } | |
1137 | |
1138 static inline ComplexMatrix | |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1139 do_bessel (dptr f, const char *, double alpha, const ComplexMatrix& x, |
10352 | 1140 bool scaled, Array<octave_idx_type>& ierr) |
3220 | 1141 { |
5275 | 1142 octave_idx_type nr = x.rows (); |
1143 octave_idx_type nc = x.cols (); | |
3220 | 1144 |
1145 ComplexMatrix retval (nr, nc); | |
1146 | |
11574
a83bad07f7e3
attempt better backward compatibility for Array resize functions
John W. Eaton <jwe@octave.org>
parents:
11523
diff
changeset
|
1147 ierr.resize (dim_vector (nr, nc)); |
3220 | 1148 |
5275 | 1149 for (octave_idx_type j = 0; j < nc; j++) |
1150 for (octave_idx_type i = 0; i < nr; i++) | |
3220 | 1151 retval(i,j) = f (x(i,j), alpha, (scaled ? 2 : 1), ierr(i,j)); |
1152 | |
1153 return retval; | |
1154 } | |
1155 | |
1156 static inline ComplexMatrix | |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1157 do_bessel (dptr f, const char *, const Matrix& alpha, const Complex& x, |
10352 | 1158 bool scaled, Array<octave_idx_type>& ierr) |
3220 | 1159 { |
5275 | 1160 octave_idx_type nr = alpha.rows (); |
1161 octave_idx_type nc = alpha.cols (); | |
3220 | 1162 |
1163 ComplexMatrix retval (nr, nc); | |
1164 | |
11574
a83bad07f7e3
attempt better backward compatibility for Array resize functions
John W. Eaton <jwe@octave.org>
parents:
11523
diff
changeset
|
1165 ierr.resize (dim_vector (nr, nc)); |
3220 | 1166 |
5275 | 1167 for (octave_idx_type j = 0; j < nc; j++) |
1168 for (octave_idx_type i = 0; i < nr; i++) | |
3220 | 1169 retval(i,j) = f (x, alpha(i,j), (scaled ? 2 : 1), ierr(i,j)); |
3146 | 1170 |
1171 return retval; | |
1172 } | |
1173 | |
3220 | 1174 static inline ComplexMatrix |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1175 do_bessel (dptr f, const char *fn, const Matrix& alpha, |
10352 | 1176 const ComplexMatrix& x, bool scaled, Array<octave_idx_type>& ierr) |
3146 | 1177 { |
3220 | 1178 ComplexMatrix retval; |
1179 | |
5275 | 1180 octave_idx_type x_nr = x.rows (); |
1181 octave_idx_type x_nc = x.cols (); | |
3220 | 1182 |
5275 | 1183 octave_idx_type alpha_nr = alpha.rows (); |
1184 octave_idx_type alpha_nc = alpha.cols (); | |
3220 | 1185 |
1186 if (x_nr == alpha_nr && x_nc == alpha_nc) | |
1187 { | |
5275 | 1188 octave_idx_type nr = x_nr; |
1189 octave_idx_type nc = x_nc; | |
3220 | 1190 |
1191 retval.resize (nr, nc); | |
1192 | |
11574
a83bad07f7e3
attempt better backward compatibility for Array resize functions
John W. Eaton <jwe@octave.org>
parents:
11523
diff
changeset
|
1193 ierr.resize (dim_vector (nr, nc)); |
3220 | 1194 |
5275 | 1195 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
|
1196 for (octave_idx_type i = 0; i < nr; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
1197 retval(i,j) = f (x(i,j), alpha(i,j), (scaled ? 2 : 1), ierr(i,j)); |
3220 | 1198 } |
1199 else | |
1200 (*current_liboctave_error_handler) | |
1201 ("%s: the sizes of alpha and x must conform", fn); | |
1202 | |
1203 return retval; | |
3146 | 1204 } |
1205 | |
4844 | 1206 static inline ComplexNDArray |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1207 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
|
1208 bool scaled, Array<octave_idx_type>& ierr) |
4844 | 1209 { |
1210 dim_vector dv = x.dims (); | |
5275 | 1211 octave_idx_type nel = dv.numel (); |
4844 | 1212 ComplexNDArray retval (dv); |
1213 | |
1214 ierr.resize (dv); | |
1215 | |
5275 | 1216 for (octave_idx_type i = 0; i < nel; i++) |
17769
49a5a4be04a1
maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1217 retval(i) = f (x(i), alpha, (scaled ? 2 : 1), ierr(i)); |
4844 | 1218 |
1219 return retval; | |
1220 } | |
1221 | |
1222 static inline ComplexNDArray | |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1223 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
|
1224 bool scaled, Array<octave_idx_type>& ierr) |
4844 | 1225 { |
1226 dim_vector dv = alpha.dims (); | |
5275 | 1227 octave_idx_type nel = dv.numel (); |
4844 | 1228 ComplexNDArray retval (dv); |
1229 | |
1230 ierr.resize (dv); | |
1231 | |
5275 | 1232 for (octave_idx_type i = 0; i < nel; i++) |
4844 | 1233 retval(i) = f (x, alpha(i), (scaled ? 2 : 1), ierr(i)); |
1234 | |
1235 return retval; | |
1236 } | |
1237 | |
1238 static inline ComplexNDArray | |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1239 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
|
1240 const ComplexNDArray& x, bool scaled, Array<octave_idx_type>& ierr) |
4844 | 1241 { |
1242 dim_vector dv = x.dims (); | |
1243 ComplexNDArray retval; | |
1244 | |
1245 if (dv == alpha.dims ()) | |
1246 { | |
5275 | 1247 octave_idx_type nel = dv.numel (); |
4844 | 1248 |
1249 retval.resize (dv); | |
1250 ierr.resize (dv); | |
1251 | |
5275 | 1252 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
|
1253 retval(i) = f (x(i), alpha(i), (scaled ? 2 : 1), ierr(i)); |
4844 | 1254 } |
1255 else | |
1256 (*current_liboctave_error_handler) | |
1257 ("%s: the sizes of alpha and x must conform", fn); | |
1258 | |
1259 return retval; | |
1260 } | |
1261 | |
3220 | 1262 static inline ComplexMatrix |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1263 do_bessel (dptr f, const char *, const RowVector& alpha, |
17769
49a5a4be04a1
maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1264 const ComplexColumnVector& x, bool scaled, |
49a5a4be04a1
maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1265 Array<octave_idx_type>& ierr) |
3146 | 1266 { |
5275 | 1267 octave_idx_type nr = x.length (); |
1268 octave_idx_type nc = alpha.length (); | |
3220 | 1269 |
1270 ComplexMatrix retval (nr, nc); | |
3146 | 1271 |
11574
a83bad07f7e3
attempt better backward compatibility for Array resize functions
John W. Eaton <jwe@octave.org>
parents:
11523
diff
changeset
|
1272 ierr.resize (dim_vector (nr, nc)); |
3220 | 1273 |
5275 | 1274 for (octave_idx_type j = 0; j < nc; j++) |
1275 for (octave_idx_type i = 0; i < nr; i++) | |
3220 | 1276 retval(i,j) = f (x(i), alpha(j), (scaled ? 2 : 1), ierr(i,j)); |
1277 | |
1278 return retval; | |
3146 | 1279 } |
1280 | |
3220 | 1281 #define SS_BESSEL(name, fcn) \ |
1282 Complex \ | |
5275 | 1283 name (double alpha, const Complex& x, bool scaled, octave_idx_type& ierr) \ |
3220 | 1284 { \ |
1285 return do_bessel (fcn, #name, alpha, x, scaled, ierr); \ | |
1286 } | |
1287 | |
1288 #define SM_BESSEL(name, fcn) \ | |
1289 ComplexMatrix \ | |
1290 name (double alpha, const ComplexMatrix& x, bool scaled, \ | |
10352 | 1291 Array<octave_idx_type>& ierr) \ |
3220 | 1292 { \ |
1293 return do_bessel (fcn, #name, alpha, x, scaled, ierr); \ | |
1294 } | |
1295 | |
1296 #define MS_BESSEL(name, fcn) \ | |
1297 ComplexMatrix \ | |
1298 name (const Matrix& alpha, const Complex& x, bool scaled, \ | |
10352 | 1299 Array<octave_idx_type>& ierr) \ |
3220 | 1300 { \ |
1301 return do_bessel (fcn, #name, alpha, x, scaled, ierr); \ | |
1302 } | |
1303 | |
1304 #define MM_BESSEL(name, fcn) \ | |
1305 ComplexMatrix \ | |
1306 name (const Matrix& alpha, const ComplexMatrix& x, bool scaled, \ | |
10352 | 1307 Array<octave_idx_type>& ierr) \ |
3220 | 1308 { \ |
1309 return do_bessel (fcn, #name, alpha, x, scaled, ierr); \ | |
1310 } | |
1311 | |
4844 | 1312 #define SN_BESSEL(name, fcn) \ |
1313 ComplexNDArray \ | |
1314 name (double alpha, const ComplexNDArray& x, bool scaled, \ | |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
1315 Array<octave_idx_type>& ierr) \ |
4844 | 1316 { \ |
1317 return do_bessel (fcn, #name, alpha, x, scaled, ierr); \ | |
1318 } | |
1319 | |
1320 #define NS_BESSEL(name, fcn) \ | |
1321 ComplexNDArray \ | |
1322 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
|
1323 Array<octave_idx_type>& ierr) \ |
4844 | 1324 { \ |
1325 return do_bessel (fcn, #name, alpha, x, scaled, ierr); \ | |
1326 } | |
1327 | |
1328 #define NN_BESSEL(name, fcn) \ | |
1329 ComplexNDArray \ | |
1330 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
|
1331 Array<octave_idx_type>& ierr) \ |
4844 | 1332 { \ |
1333 return do_bessel (fcn, #name, alpha, x, scaled, ierr); \ | |
1334 } | |
1335 | |
3220 | 1336 #define RC_BESSEL(name, fcn) \ |
1337 ComplexMatrix \ | |
1338 name (const RowVector& alpha, const ComplexColumnVector& x, bool scaled, \ | |
10352 | 1339 Array<octave_idx_type>& ierr) \ |
3220 | 1340 { \ |
1341 return do_bessel (fcn, #name, alpha, x, scaled, ierr); \ | |
1342 } | |
1343 | |
1344 #define ALL_BESSEL(name, fcn) \ | |
1345 SS_BESSEL (name, fcn) \ | |
1346 SM_BESSEL (name, fcn) \ | |
1347 MS_BESSEL (name, fcn) \ | |
1348 MM_BESSEL (name, fcn) \ | |
4844 | 1349 SN_BESSEL (name, fcn) \ |
1350 NS_BESSEL (name, fcn) \ | |
1351 NN_BESSEL (name, fcn) \ | |
3220 | 1352 RC_BESSEL (name, fcn) |
1353 | |
1354 ALL_BESSEL (besselj, zbesj) | |
1355 ALL_BESSEL (bessely, zbesy) | |
1356 ALL_BESSEL (besseli, zbesi) | |
1357 ALL_BESSEL (besselk, zbesk) | |
1358 ALL_BESSEL (besselh1, zbesh1) | |
1359 ALL_BESSEL (besselh2, zbesh2) | |
1360 | |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1361 #undef ALL_BESSEL |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1362 #undef SS_BESSEL |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1363 #undef SM_BESSEL |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1364 #undef MS_BESSEL |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1365 #undef MM_BESSEL |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1366 #undef SN_BESSEL |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1367 #undef NS_BESSEL |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1368 #undef NN_BESSEL |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1369 #undef RC_BESSEL |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1370 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1371 static inline FloatComplex |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1372 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
|
1373 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1374 static inline FloatComplex |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1375 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
|
1376 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1377 static inline FloatComplex |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1378 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
|
1379 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1380 static inline FloatComplex |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1381 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
|
1382 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1383 static inline FloatComplex |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1384 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
|
1385 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1386 static inline FloatComplex |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1387 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
|
1388 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1389 static inline FloatComplex |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1390 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
|
1391 { |
17769
49a5a4be04a1
maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1392 static const FloatComplex inf_val = FloatComplex (octave_Float_Inf, |
49a5a4be04a1
maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1393 octave_Float_Inf); |
49a5a4be04a1
maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1394 static const FloatComplex nan_val = FloatComplex (octave_Float_NaN, |
49a5a4be04a1
maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1395 octave_Float_NaN); |
7789
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 FloatComplex retval; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1398 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1399 switch (ierr) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1400 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1401 case 0: |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1402 case 3: |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1403 retval = val; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1404 break; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1405 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1406 case 2: |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1407 retval = inf_val; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1408 break; |
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 default: |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1411 retval = nan_val; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1412 break; |
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 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1415 return retval; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1416 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1417 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1418 static inline bool |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1419 is_integer_value (float x) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1420 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1421 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
|
1422 } |
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 static inline FloatComplex |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1425 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
|
1426 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1427 FloatComplex retval; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1428 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1429 if (alpha >= 0.0) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1430 { |
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
|
1431 FloatComplex y = 0.0; |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1432 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1433 octave_idx_type nz; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1434 |
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
|
1435 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
|
1436 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1437 if (kode != 2) |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
1438 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
1439 float expz = exp (std::abs (imag (z))); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
1440 y *= expz; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
1441 } |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1442 |
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
|
1443 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
|
1444 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
|
1445 |
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
|
1446 retval = bessel_return_value (y, ierr); |
7789
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 else if (is_integer_value (alpha)) |
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 // 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
|
1451 alpha = -alpha; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1452 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
|
1453 if ((static_cast <long> (alpha)) & 1) |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
1454 tmp = - tmp; |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1455 retval = bessel_return_value (tmp, ierr); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1456 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1457 else |
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 alpha = -alpha; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1460 |
17769
49a5a4be04a1
maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1461 FloatComplex tmp = cosf (static_cast<float> (M_PI) * alpha) |
49a5a4be04a1
maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1462 * cbesj (z, alpha, kode, ierr); |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1463 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1464 if (ierr == 0 || ierr == 3) |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
1465 { |
17769
49a5a4be04a1
maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1466 tmp -= sinf (static_cast<float> (M_PI) * alpha) |
49a5a4be04a1
maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1467 * cbesy (z, alpha, kode, ierr); |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
1468 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
1469 retval = bessel_return_value (tmp, ierr); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
1470 } |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1471 else |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
1472 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
|
1473 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1474 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1475 return retval; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1476 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1477 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1478 static inline FloatComplex |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1479 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
|
1480 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1481 FloatComplex retval; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1482 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1483 if (alpha >= 0.0) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1484 { |
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
|
1485 FloatComplex y = 0.0; |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1486 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1487 octave_idx_type nz; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1488 |
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
|
1489 FloatComplex w; |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1490 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1491 ierr = 0; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1492 |
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
|
1493 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
|
1494 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
1495 y = FloatComplex (-octave_Float_Inf, 0.0); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
1496 } |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1497 else |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
1498 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
1499 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
|
1500 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
1501 if (kode != 2) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
1502 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
1503 float expz = exp (std::abs (imag (z))); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
1504 y *= expz; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
1505 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
1506 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
1507 if (imag (z) == 0.0 && real (z) >= 0.0) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
1508 y = FloatComplex (y.real (), 0.0); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
1509 } |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1510 |
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
|
1511 return bessel_return_value (y, ierr); |
7789
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 else if (is_integer_value (alpha - 0.5)) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1514 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1515 // 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
|
1516 alpha = -alpha; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1517 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
|
1518 if ((static_cast <long> (alpha - 0.5)) & 1) |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
1519 tmp = - tmp; |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1520 retval = bessel_return_value (tmp, ierr); |
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 else |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1523 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1524 alpha = -alpha; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1525 |
17769
49a5a4be04a1
maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1526 FloatComplex tmp = cosf (static_cast<float> (M_PI) * alpha) |
49a5a4be04a1
maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1527 * cbesy (z, alpha, kode, ierr); |
7789
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 if (ierr == 0 || ierr == 3) |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
1530 { |
17769
49a5a4be04a1
maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1531 tmp += sinf (static_cast<float> (M_PI) * alpha) |
49a5a4be04a1
maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1532 * cbesj (z, alpha, kode, ierr); |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
1533 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
1534 retval = bessel_return_value (tmp, ierr); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
1535 } |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1536 else |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
1537 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
|
1538 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1539 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1540 return retval; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1541 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1542 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1543 static inline FloatComplex |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1544 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
|
1545 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1546 FloatComplex retval; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1547 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1548 if (alpha >= 0.0) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1549 { |
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
|
1550 FloatComplex y = 0.0; |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1551 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1552 octave_idx_type nz; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1553 |
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
|
1554 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
|
1555 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1556 if (kode != 2) |
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 float expz = exp (std::abs (real (z))); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
1559 y *= expz; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
1560 } |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1561 |
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
|
1562 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
|
1563 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
|
1564 |
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
|
1565 retval = bessel_return_value (y, ierr); |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1566 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1567 else |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1568 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1569 alpha = -alpha; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1570 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1571 FloatComplex tmp = cbesi (z, alpha, kode, ierr); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1572 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1573 if (ierr == 0 || ierr == 3) |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
1574 { |
17769
49a5a4be04a1
maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1575 FloatComplex tmp2 = static_cast<float> (2.0 / M_PI) |
49a5a4be04a1
maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1576 * sinf (static_cast<float> (M_PI) * alpha) |
49a5a4be04a1
maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1577 * cbesk (z, alpha, kode, ierr); |
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
1578 |
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
1579 if (kode == 2) |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
1580 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
1581 // 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
|
1582 tmp2 *= exp (-z - std::abs (z.real ())); |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
1583 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
1584 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
1585 tmp += tmp2; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
1586 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
1587 retval = bessel_return_value (tmp, ierr); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
1588 } |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1589 else |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
1590 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
|
1591 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1592 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1593 return retval; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1594 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1595 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1596 static inline FloatComplex |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1597 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
|
1598 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1599 FloatComplex retval; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1600 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1601 if (alpha >= 0.0) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1602 { |
8279
b3734f1cb592
lo-specfun.cc: fix prototypes and calls to cbes{h,i,j,k,y} subroutines
John W. Eaton <jwe@octave.org>
parents:
8278
diff
changeset
|
1603 FloatComplex y = 0.0; |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1604 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1605 octave_idx_type nz; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1606 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1607 ierr = 0; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1608 |
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
|
1609 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
|
1610 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
1611 y = FloatComplex (octave_Float_Inf, 0.0); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
1612 } |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1613 else |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
1614 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
1615 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
|
1616 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
1617 if (kode != 2) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
1618 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
1619 FloatComplex expz = exp (-z); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
1620 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
1621 float rexpz = real (expz); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
1622 float iexpz = imag (expz); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
1623 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
1624 float tmp_r = real (y) * rexpz - imag (y) * iexpz; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
1625 float tmp_i = real (y) * iexpz + imag (y) * rexpz; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
1626 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
1627 y = FloatComplex (tmp_r, tmp_i); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
1628 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
1629 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
1630 if (imag (z) == 0.0 && real (z) >= 0.0) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
1631 y = FloatComplex (y.real (), 0.0); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
1632 } |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1633 |
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
|
1634 retval = bessel_return_value (y, ierr); |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1635 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1636 else |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1637 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1638 FloatComplex tmp = cbesk (z, -alpha, kode, ierr); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1639 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1640 retval = bessel_return_value (tmp, ierr); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1641 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1642 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1643 return retval; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1644 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1645 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1646 static inline FloatComplex |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1647 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
|
1648 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1649 FloatComplex retval; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1650 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1651 if (alpha >= 0.0) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1652 { |
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
|
1653 FloatComplex y = 0.0; |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1654 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1655 octave_idx_type nz; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1656 |
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
|
1657 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
|
1658 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1659 if (kode != 2) |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
1660 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
1661 FloatComplex expz = exp (FloatComplex (0.0, 1.0) * z); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
1662 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
1663 float rexpz = real (expz); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
1664 float iexpz = imag (expz); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
1665 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
1666 float tmp_r = real (y) * rexpz - imag (y) * iexpz; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
1667 float tmp_i = real (y) * iexpz + imag (y) * rexpz; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
1668 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
1669 y = FloatComplex (tmp_r, tmp_i); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
1670 } |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1671 |
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
|
1672 retval = bessel_return_value (y, ierr); |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1673 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1674 else |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1675 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1676 alpha = -alpha; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1677 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1678 static const FloatComplex eye = FloatComplex (0.0, 1.0); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1679 |
17769
49a5a4be04a1
maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1680 FloatComplex tmp = exp (static_cast<float> (M_PI) * alpha * eye) |
49a5a4be04a1
maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1681 * cbesh1 (z, alpha, kode, 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 retval = bessel_return_value (tmp, ierr); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1684 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1685 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1686 return retval; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1687 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1688 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1689 static inline FloatComplex |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1690 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
|
1691 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1692 FloatComplex retval; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1693 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1694 if (alpha >= 0.0) |
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 FloatComplex y = 0.0; |
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 octave_idx_type nz; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1699 |
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
|
1700 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
|
1701 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1702 if (kode != 2) |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
1703 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
1704 FloatComplex expz = exp (-FloatComplex (0.0, 1.0) * z); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
1705 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
1706 float rexpz = real (expz); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
1707 float iexpz = imag (expz); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
1708 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
1709 float tmp_r = real (y) * rexpz - imag (y) * iexpz; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
1710 float tmp_i = real (y) * iexpz + imag (y) * rexpz; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
1711 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
1712 y = FloatComplex (tmp_r, tmp_i); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
1713 } |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1714 |
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
|
1715 retval = bessel_return_value (y, ierr); |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1716 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1717 else |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1718 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1719 alpha = -alpha; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1720 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1721 static const FloatComplex eye = FloatComplex (0.0, 1.0); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1722 |
17769
49a5a4be04a1
maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1723 FloatComplex tmp = exp (-static_cast<float> (M_PI) * alpha * eye) |
49a5a4be04a1
maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1724 * cbesh2 (z, alpha, kode, ierr); |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1725 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1726 retval = bessel_return_value (tmp, ierr); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1727 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1728 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1729 return retval; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1730 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1731 |
17769
49a5a4be04a1
maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1732 typedef FloatComplex (*fptr) (const FloatComplex&, float, int, |
49a5a4be04a1
maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1733 octave_idx_type&); |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1734 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1735 static inline FloatComplex |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1736 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
|
1737 bool scaled, octave_idx_type& ierr) |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1738 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1739 FloatComplex retval; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1740 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1741 retval = f (x, alpha, (scaled ? 2 : 1), ierr); |
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 return retval; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1744 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1745 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1746 static inline FloatComplexMatrix |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1747 do_bessel (fptr f, const char *, float alpha, const FloatComplexMatrix& x, |
10352 | 1748 bool scaled, Array<octave_idx_type>& ierr) |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1749 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1750 octave_idx_type nr = x.rows (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1751 octave_idx_type nc = x.cols (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1752 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1753 FloatComplexMatrix retval (nr, nc); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1754 |
11574
a83bad07f7e3
attempt better backward compatibility for Array resize functions
John W. Eaton <jwe@octave.org>
parents:
11523
diff
changeset
|
1755 ierr.resize (dim_vector (nr, nc)); |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1756 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1757 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
|
1758 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
|
1759 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
|
1760 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1761 return retval; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1762 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1763 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1764 static inline FloatComplexMatrix |
17769
49a5a4be04a1
maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1765 do_bessel (fptr f, const char *, const FloatMatrix& alpha, |
49a5a4be04a1
maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1766 const FloatComplex& x, |
10352 | 1767 bool scaled, Array<octave_idx_type>& ierr) |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1768 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1769 octave_idx_type nr = alpha.rows (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1770 octave_idx_type nc = alpha.cols (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1771 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1772 FloatComplexMatrix retval (nr, nc); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1773 |
11574
a83bad07f7e3
attempt better backward compatibility for Array resize functions
John W. Eaton <jwe@octave.org>
parents:
11523
diff
changeset
|
1774 ierr.resize (dim_vector (nr, nc)); |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1775 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1776 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
|
1777 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
|
1778 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
|
1779 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1780 return retval; |
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 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1783 static inline FloatComplexMatrix |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1784 do_bessel (fptr f, const char *fn, const FloatMatrix& alpha, |
17769
49a5a4be04a1
maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1785 const FloatComplexMatrix& x, bool scaled, |
49a5a4be04a1
maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1786 Array<octave_idx_type>& ierr) |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1787 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1788 FloatComplexMatrix retval; |
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 octave_idx_type x_nr = x.rows (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1791 octave_idx_type x_nc = x.cols (); |
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 octave_idx_type alpha_nr = alpha.rows (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1794 octave_idx_type alpha_nc = alpha.cols (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1795 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1796 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
|
1797 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1798 octave_idx_type nr = x_nr; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1799 octave_idx_type nc = x_nc; |
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 retval.resize (nr, nc); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1802 |
11574
a83bad07f7e3
attempt better backward compatibility for Array resize functions
John W. Eaton <jwe@octave.org>
parents:
11523
diff
changeset
|
1803 ierr.resize (dim_vector (nr, nc)); |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1804 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1805 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
|
1806 for (octave_idx_type i = 0; i < nr; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
1807 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
|
1808 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1809 else |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1810 (*current_liboctave_error_handler) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1811 ("%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
|
1812 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1813 return retval; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1814 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1815 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1816 static inline FloatComplexNDArray |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1817 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
|
1818 bool scaled, Array<octave_idx_type>& ierr) |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1819 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1820 dim_vector dv = x.dims (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1821 octave_idx_type nel = dv.numel (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1822 FloatComplexNDArray retval (dv); |
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 ierr.resize (dv); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1825 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1826 for (octave_idx_type i = 0; i < nel; i++) |
17769
49a5a4be04a1
maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1827 retval(i) = f (x(i), alpha, (scaled ? 2 : 1), ierr(i)); |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1828 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1829 return retval; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1830 } |
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 static inline FloatComplexNDArray |
17769
49a5a4be04a1
maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1833 do_bessel (fptr f, const char *, const FloatNDArray& alpha, |
49a5a4be04a1
maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1834 const FloatComplex& x, bool scaled, Array<octave_idx_type>& ierr) |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1835 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1836 dim_vector dv = alpha.dims (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1837 octave_idx_type nel = dv.numel (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1838 FloatComplexNDArray retval (dv); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1839 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1840 ierr.resize (dv); |
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 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
|
1843 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
|
1844 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1845 return retval; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1846 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1847 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1848 static inline FloatComplexNDArray |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1849 do_bessel (fptr f, const char *fn, const FloatNDArray& alpha, |
17769
49a5a4be04a1
maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1850 const FloatComplexNDArray& x, bool scaled, |
49a5a4be04a1
maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1851 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 dim_vector dv = x.dims (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1854 FloatComplexNDArray retval; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1855 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1856 if (dv == alpha.dims ()) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1857 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1858 octave_idx_type nel = dv.numel (); |
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 retval.resize (dv); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1861 ierr.resize (dv); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1862 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1863 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
|
1864 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
|
1865 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1866 else |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1867 (*current_liboctave_error_handler) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1868 ("%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
|
1869 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1870 return retval; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1871 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1872 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1873 static inline FloatComplexMatrix |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1874 do_bessel (fptr f, const char *, const FloatRowVector& alpha, |
17769
49a5a4be04a1
maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1875 const FloatComplexColumnVector& x, bool scaled, |
49a5a4be04a1
maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1876 Array<octave_idx_type>& ierr) |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1877 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1878 octave_idx_type nr = x.length (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1879 octave_idx_type nc = alpha.length (); |
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 FloatComplexMatrix retval (nr, nc); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1882 |
11574
a83bad07f7e3
attempt better backward compatibility for Array resize functions
John W. Eaton <jwe@octave.org>
parents:
11523
diff
changeset
|
1883 ierr.resize (dim_vector (nr, nc)); |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1884 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1885 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
|
1886 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
|
1887 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
|
1888 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1889 return retval; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1890 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1891 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1892 #define SS_BESSEL(name, fcn) \ |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1893 FloatComplex \ |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1894 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
|
1895 { \ |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1896 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
|
1897 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1898 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1899 #define SM_BESSEL(name, fcn) \ |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1900 FloatComplexMatrix \ |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1901 name (float alpha, const FloatComplexMatrix& x, bool scaled, \ |
10352 | 1902 Array<octave_idx_type>& ierr) \ |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1903 { \ |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1904 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
|
1905 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1906 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1907 #define MS_BESSEL(name, fcn) \ |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1908 FloatComplexMatrix \ |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1909 name (const FloatMatrix& alpha, const FloatComplex& x, bool scaled, \ |
10352 | 1910 Array<octave_idx_type>& ierr) \ |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1911 { \ |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1912 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
|
1913 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1914 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1915 #define MM_BESSEL(name, fcn) \ |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1916 FloatComplexMatrix \ |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1917 name (const FloatMatrix& alpha, const FloatComplexMatrix& x, bool scaled, \ |
10352 | 1918 Array<octave_idx_type>& ierr) \ |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1919 { \ |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1920 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
|
1921 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1922 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1923 #define SN_BESSEL(name, fcn) \ |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1924 FloatComplexNDArray \ |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1925 name (float alpha, const FloatComplexNDArray& x, bool scaled, \ |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
1926 Array<octave_idx_type>& ierr) \ |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1927 { \ |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1928 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
|
1929 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1930 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1931 #define NS_BESSEL(name, fcn) \ |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1932 FloatComplexNDArray \ |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1933 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
|
1934 Array<octave_idx_type>& ierr) \ |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1935 { \ |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1936 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
|
1937 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1938 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1939 #define NN_BESSEL(name, fcn) \ |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1940 FloatComplexNDArray \ |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1941 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
|
1942 Array<octave_idx_type>& ierr) \ |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1943 { \ |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1944 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
|
1945 } |
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 #define RC_BESSEL(name, fcn) \ |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1948 FloatComplexMatrix \ |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1949 name (const FloatRowVector& alpha, const FloatComplexColumnVector& x, bool scaled, \ |
10352 | 1950 Array<octave_idx_type>& ierr) \ |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1951 { \ |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1952 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
|
1953 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1954 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1955 #define ALL_BESSEL(name, fcn) \ |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1956 SS_BESSEL (name, fcn) \ |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1957 SM_BESSEL (name, fcn) \ |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1958 MS_BESSEL (name, fcn) \ |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1959 MM_BESSEL (name, fcn) \ |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1960 SN_BESSEL (name, fcn) \ |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1961 NS_BESSEL (name, fcn) \ |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1962 NN_BESSEL (name, fcn) \ |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1963 RC_BESSEL (name, fcn) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1964 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1965 ALL_BESSEL (besselj, cbesj) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1966 ALL_BESSEL (bessely, cbesy) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1967 ALL_BESSEL (besseli, cbesi) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1968 ALL_BESSEL (besselk, cbesk) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1969 ALL_BESSEL (besselh1, cbesh1) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1970 ALL_BESSEL (besselh2, cbesh2) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1971 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1972 #undef ALL_BESSEL |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1973 #undef SS_BESSEL |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1974 #undef SM_BESSEL |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1975 #undef MS_BESSEL |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1976 #undef MM_BESSEL |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1977 #undef SN_BESSEL |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1978 #undef NS_BESSEL |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1979 #undef NN_BESSEL |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1980 #undef RC_BESSEL |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1981 |
3220 | 1982 Complex |
5275 | 1983 airy (const Complex& z, bool deriv, bool scaled, octave_idx_type& ierr) |
3146 | 1984 { |
3220 | 1985 double ar = 0.0; |
1986 double ai = 0.0; | |
1987 | |
5275 | 1988 octave_idx_type nz; |
3220 | 1989 |
1990 double zr = z.real (); | |
1991 double zi = z.imag (); | |
3146 | 1992 |
5275 | 1993 octave_idx_type id = deriv ? 1 : 0; |
3220 | 1994 |
4506 | 1995 F77_FUNC (zairy, ZAIRY) (zr, zi, id, 2, ar, ai, nz, ierr); |
1996 | |
1997 if (! scaled) | |
1998 { | |
15018
3d8ace26c5b4
maint: Use Octave coding conventions for cuddled parentheses in liboctave/.
Rik <rik@octave.org>
parents:
14847
diff
changeset
|
1999 Complex expz = exp (- 2.0 / 3.0 * z * sqrt (z)); |
3220 | 2000 |
4506 | 2001 double rexpz = real (expz); |
2002 double iexpz = imag (expz); | |
2003 | |
2004 double tmp = ar*rexpz - ai*iexpz; | |
2005 | |
2006 ai = ar*iexpz + ai*rexpz; | |
2007 ar = tmp; | |
2008 } | |
3220 | 2009 |
4490 | 2010 if (zi == 0.0 && (! scaled || zr >= 0.0)) |
3225 | 2011 ai = 0.0; |
2012 | |
3220 | 2013 return bessel_return_value (Complex (ar, ai), ierr); |
3146 | 2014 } |
2015 | |
3220 | 2016 Complex |
5275 | 2017 biry (const Complex& z, bool deriv, bool scaled, octave_idx_type& ierr) |
3146 | 2018 { |
3220 | 2019 double ar = 0.0; |
2020 double ai = 0.0; | |
2021 | |
2022 double zr = z.real (); | |
2023 double zi = z.imag (); | |
2024 | |
5275 | 2025 octave_idx_type id = deriv ? 1 : 0; |
3220 | 2026 |
4506 | 2027 F77_FUNC (zbiry, ZBIRY) (zr, zi, id, 2, ar, ai, ierr); |
2028 | |
2029 if (! scaled) | |
2030 { | |
2031 Complex expz = exp (std::abs (real (2.0 / 3.0 * z * sqrt (z)))); | |
3220 | 2032 |
4506 | 2033 double rexpz = real (expz); |
2034 double iexpz = imag (expz); | |
2035 | |
2036 double tmp = ar*rexpz - ai*iexpz; | |
2037 | |
2038 ai = ar*iexpz + ai*rexpz; | |
2039 ar = tmp; | |
2040 } | |
3220 | 2041 |
4490 | 2042 if (zi == 0.0 && (! scaled || zr >= 0.0)) |
3225 | 2043 ai = 0.0; |
2044 | |
3220 | 2045 return bessel_return_value (Complex (ar, ai), ierr); |
3146 | 2046 } |
2047 | |
3220 | 2048 ComplexMatrix |
17769
49a5a4be04a1
maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
2049 airy (const ComplexMatrix& z, bool deriv, bool scaled, |
49a5a4be04a1
maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
2050 Array<octave_idx_type>& ierr) |
3146 | 2051 { |
5275 | 2052 octave_idx_type nr = z.rows (); |
2053 octave_idx_type nc = z.cols (); | |
3220 | 2054 |
2055 ComplexMatrix retval (nr, nc); | |
2056 | |
11574
a83bad07f7e3
attempt better backward compatibility for Array resize functions
John W. Eaton <jwe@octave.org>
parents:
11523
diff
changeset
|
2057 ierr.resize (dim_vector (nr, nc)); |
3220 | 2058 |
5275 | 2059 for (octave_idx_type j = 0; j < nc; j++) |
2060 for (octave_idx_type i = 0; i < nr; i++) | |
3220 | 2061 retval(i,j) = airy (z(i,j), deriv, scaled, ierr(i,j)); |
2062 | |
2063 return retval; | |
3146 | 2064 } |
2065 | |
3220 | 2066 ComplexMatrix |
17769
49a5a4be04a1
maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
2067 biry (const ComplexMatrix& z, bool deriv, bool scaled, |
49a5a4be04a1
maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
2068 Array<octave_idx_type>& ierr) |
3146 | 2069 { |
5275 | 2070 octave_idx_type nr = z.rows (); |
2071 octave_idx_type nc = z.cols (); | |
3220 | 2072 |
2073 ComplexMatrix retval (nr, nc); | |
2074 | |
11574
a83bad07f7e3
attempt better backward compatibility for Array resize functions
John W. Eaton <jwe@octave.org>
parents:
11523
diff
changeset
|
2075 ierr.resize (dim_vector (nr, nc)); |
3220 | 2076 |
5275 | 2077 for (octave_idx_type j = 0; j < nc; j++) |
2078 for (octave_idx_type i = 0; i < nr; i++) | |
3220 | 2079 retval(i,j) = biry (z(i,j), deriv, scaled, ierr(i,j)); |
2080 | |
2081 return retval; | |
3146 | 2082 } |
2083 | |
4844 | 2084 ComplexNDArray |
17769
49a5a4be04a1
maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
2085 airy (const ComplexNDArray& z, bool deriv, bool scaled, |
49a5a4be04a1
maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
2086 Array<octave_idx_type>& ierr) |
4844 | 2087 { |
2088 dim_vector dv = z.dims (); | |
5275 | 2089 octave_idx_type nel = dv.numel (); |
4844 | 2090 ComplexNDArray retval (dv); |
2091 | |
2092 ierr.resize (dv); | |
2093 | |
5275 | 2094 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
|
2095 retval(i) = airy (z(i), deriv, scaled, ierr(i)); |
4844 | 2096 |
2097 return retval; | |
2098 } | |
2099 | |
2100 ComplexNDArray | |
17769
49a5a4be04a1
maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
2101 biry (const ComplexNDArray& z, bool deriv, bool scaled, |
49a5a4be04a1
maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
2102 Array<octave_idx_type>& ierr) |
4844 | 2103 { |
2104 dim_vector dv = z.dims (); | |
5275 | 2105 octave_idx_type nel = dv.numel (); |
4844 | 2106 ComplexNDArray retval (dv); |
2107 | |
2108 ierr.resize (dv); | |
2109 | |
5275 | 2110 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
|
2111 retval(i) = biry (z(i), deriv, scaled, ierr(i)); |
4844 | 2112 |
2113 return retval; | |
2114 } | |
2115 | |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2116 FloatComplex |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2117 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
|
2118 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2119 float ar = 0.0; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2120 float ai = 0.0; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2121 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2122 octave_idx_type nz; |
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 zr = z.real (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2125 float zi = z.imag (); |
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 octave_idx_type id = deriv ? 1 : 0; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2128 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2129 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
|
2130 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2131 if (! scaled) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2132 { |
15018
3d8ace26c5b4
maint: Use Octave coding conventions for cuddled parentheses in liboctave/.
Rik <rik@octave.org>
parents:
14847
diff
changeset
|
2133 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
|
2134 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2135 float rexpz = real (expz); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2136 float iexpz = imag (expz); |
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 tmp = ar*rexpz - ai*iexpz; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2139 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2140 ai = ar*iexpz + ai*rexpz; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2141 ar = tmp; |
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 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2144 if (zi == 0.0 && (! scaled || zr >= 0.0)) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2145 ai = 0.0; |
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 return bessel_return_value (FloatComplex (ar, ai), ierr); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2148 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2149 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2150 FloatComplex |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2151 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
|
2152 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2153 float ar = 0.0; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2154 float ai = 0.0; |
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 float zr = z.real (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2157 float zi = z.imag (); |
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 octave_idx_type id = deriv ? 1 : 0; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2160 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2161 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
|
2162 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2163 if (! scaled) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2164 { |
17769
49a5a4be04a1
maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
2165 FloatComplex expz = exp (std::abs (real (static_cast<float> (2.0 / 3.0) |
49a5a4be04a1
maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
2166 * z * sqrt (z)))); |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2167 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2168 float rexpz = real (expz); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2169 float iexpz = imag (expz); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2170 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2171 float tmp = ar*rexpz - ai*iexpz; |
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 ai = ar*iexpz + ai*rexpz; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2174 ar = tmp; |
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 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2177 if (zi == 0.0 && (! scaled || zr >= 0.0)) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2178 ai = 0.0; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2179 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2180 return bessel_return_value (FloatComplex (ar, ai), ierr); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2181 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2182 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2183 FloatComplexMatrix |
17769
49a5a4be04a1
maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
2184 airy (const FloatComplexMatrix& z, bool deriv, bool scaled, |
49a5a4be04a1
maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
2185 Array<octave_idx_type>& ierr) |
7789
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 octave_idx_type nr = z.rows (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2188 octave_idx_type nc = z.cols (); |
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 FloatComplexMatrix retval (nr, nc); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2191 |
11574
a83bad07f7e3
attempt better backward compatibility for Array resize functions
John W. Eaton <jwe@octave.org>
parents:
11523
diff
changeset
|
2192 ierr.resize (dim_vector (nr, nc)); |
7789
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 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
|
2195 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
|
2196 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
|
2197 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2198 return retval; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2199 } |
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 FloatComplexMatrix |
17769
49a5a4be04a1
maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
2202 biry (const FloatComplexMatrix& z, bool deriv, bool scaled, |
49a5a4be04a1
maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
2203 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 octave_idx_type nr = z.rows (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2206 octave_idx_type nc = z.cols (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2207 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2208 FloatComplexMatrix retval (nr, nc); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2209 |
11574
a83bad07f7e3
attempt better backward compatibility for Array resize functions
John W. Eaton <jwe@octave.org>
parents:
11523
diff
changeset
|
2210 ierr.resize (dim_vector (nr, nc)); |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2211 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2212 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
|
2213 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
|
2214 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
|
2215 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2216 return retval; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2217 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2218 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2219 FloatComplexNDArray |
17769
49a5a4be04a1
maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
2220 airy (const FloatComplexNDArray& z, bool deriv, bool scaled, |
49a5a4be04a1
maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
2221 Array<octave_idx_type>& ierr) |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2222 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2223 dim_vector dv = z.dims (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2224 octave_idx_type nel = dv.numel (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2225 FloatComplexNDArray retval (dv); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2226 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2227 ierr.resize (dv); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2228 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2229 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
|
2230 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
|
2231 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2232 return retval; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2233 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2234 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2235 FloatComplexNDArray |
17769
49a5a4be04a1
maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
2236 biry (const FloatComplexNDArray& z, bool deriv, bool scaled, |
49a5a4be04a1
maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
2237 Array<octave_idx_type>& ierr) |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2238 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2239 dim_vector dv = z.dims (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2240 octave_idx_type nel = dv.numel (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2241 FloatComplexNDArray retval (dv); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2242 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2243 ierr.resize (dv); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2244 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2245 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
|
2246 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
|
2247 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2248 return retval; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2249 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2250 |
3146 | 2251 static void |
4844 | 2252 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
|
2253 const dim_vector& d3) |
4844 | 2254 { |
2255 std::string d1_str = d1.str (); | |
2256 std::string d2_str = d2.str (); | |
2257 std::string d3_str = d3.str (); | |
2258 | |
2259 (*current_liboctave_error_handler) | |
17769
49a5a4be04a1
maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
2260 ("betainc: nonconformant arguments (x is %s, a is %s, b is %s)", |
49a5a4be04a1
maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
2261 d1_str.c_str (), d2_str.c_str (), d3_str.c_str ()); |
4844 | 2262 } |
2263 | |
14816
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
2264 static void |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
2265 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
|
2266 const dim_vector& d3) |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
2267 { |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
2268 std::string d1_str = d1.str (); |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
2269 std::string d2_str = d2.str (); |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
2270 std::string d3_str = d3.str (); |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
2271 |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
2272 (*current_liboctave_error_handler) |
17769
49a5a4be04a1
maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
2273 ("betaincinv: nonconformant arguments (x is %s, a is %s, b is %s)", |
49a5a4be04a1
maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
2274 d1_str.c_str (), d2_str.c_str (), d3_str.c_str ()); |
14816
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
2275 } |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
2276 |
3146 | 2277 double |
2278 betainc (double x, double a, double b) | |
2279 { | |
2280 double retval; | |
5700 | 2281 F77_XFCN (xdbetai, XDBETAI, (x, a, b, retval)); |
3146 | 2282 return retval; |
2283 } | |
2284 | |
14815
95b93a728603
Use Array superclass, rather than Matrix or NDArray, for betainc function.
Rik <octave@nomad.inbox5.com>
parents:
14786
diff
changeset
|
2285 Array<double> |
95b93a728603
Use Array superclass, rather than Matrix or NDArray, for betainc function.
Rik <octave@nomad.inbox5.com>
parents:
14786
diff
changeset
|
2286 betainc (double x, double a, const Array<double>& b) |
3146 | 2287 { |
14815
95b93a728603
Use Array superclass, rather than Matrix or NDArray, for betainc function.
Rik <octave@nomad.inbox5.com>
parents:
14786
diff
changeset
|
2288 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
|
2289 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
|
2290 |
95b93a728603
Use Array superclass, rather than Matrix or NDArray, for betainc function.
Rik <octave@nomad.inbox5.com>
parents:
14786
diff
changeset
|
2291 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
|
2292 |
95b93a728603
Use Array superclass, rather than Matrix or NDArray, for betainc function.
Rik <octave@nomad.inbox5.com>
parents:
14786
diff
changeset
|
2293 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
|
2294 |
95b93a728603
Use Array superclass, rather than Matrix or NDArray, for betainc function.
Rik <octave@nomad.inbox5.com>
parents:
14786
diff
changeset
|
2295 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
|
2296 *pretval++ = betainc (x, a, b(i)); |
3146 | 2297 |
2298 return retval; | |
2299 } | |
2300 | |
14815
95b93a728603
Use Array superclass, rather than Matrix or NDArray, for betainc function.
Rik <octave@nomad.inbox5.com>
parents:
14786
diff
changeset
|
2301 Array<double> |
95b93a728603
Use Array superclass, rather than Matrix or NDArray, for betainc function.
Rik <octave@nomad.inbox5.com>
parents:
14786
diff
changeset
|
2302 betainc (double x, const Array<double>& a, double b) |
3146 | 2303 { |
14815
95b93a728603
Use Array superclass, rather than Matrix or NDArray, for betainc function.
Rik <octave@nomad.inbox5.com>
parents:
14786
diff
changeset
|
2304 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
|
2305 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
|
2306 |
95b93a728603
Use Array superclass, rather than Matrix or NDArray, for betainc function.
Rik <octave@nomad.inbox5.com>
parents:
14786
diff
changeset
|
2307 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
|
2308 |
95b93a728603
Use Array superclass, rather than Matrix or NDArray, for betainc function.
Rik <octave@nomad.inbox5.com>
parents:
14786
diff
changeset
|
2309 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
|
2310 |
95b93a728603
Use Array superclass, rather than Matrix or NDArray, for betainc function.
Rik <octave@nomad.inbox5.com>
parents:
14786
diff
changeset
|
2311 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
|
2312 *pretval++ = betainc (x, a(i), b); |
3146 | 2313 |
2314 return retval; | |
2315 } | |
2316 | |
14815
95b93a728603
Use Array superclass, rather than Matrix or NDArray, for betainc function.
Rik <octave@nomad.inbox5.com>
parents:
14786
diff
changeset
|
2317 Array<double> |
95b93a728603
Use Array superclass, rather than Matrix or NDArray, for betainc function.
Rik <octave@nomad.inbox5.com>
parents:
14786
diff
changeset
|
2318 betainc (double x, const Array<double>& a, const Array<double>& b) |
4844 | 2319 { |
14815
95b93a728603
Use Array superclass, rather than Matrix or NDArray, for betainc function.
Rik <octave@nomad.inbox5.com>
parents:
14786
diff
changeset
|
2320 Array<double> retval; |
4844 | 2321 dim_vector dv = a.dims (); |
2322 | |
2323 if (dv == b.dims ()) | |
2324 { | |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2325 octave_idx_type nel = dv.numel (); |
4844 | 2326 |
2327 retval.resize (dv); | |
2328 | |
14815
95b93a728603
Use Array superclass, rather than Matrix or NDArray, for betainc function.
Rik <octave@nomad.inbox5.com>
parents:
14786
diff
changeset
|
2329 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
|
2330 |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2331 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
|
2332 *pretval++ = betainc (x, a(i), b(i)); |
4844 | 2333 } |
2334 else | |
10258 | 2335 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
|
2336 |
4844 | 2337 return retval; |
2338 } | |
2339 | |
14815
95b93a728603
Use Array superclass, rather than Matrix or NDArray, for betainc function.
Rik <octave@nomad.inbox5.com>
parents:
14786
diff
changeset
|
2340 Array<double> |
95b93a728603
Use Array superclass, rather than Matrix or NDArray, for betainc function.
Rik <octave@nomad.inbox5.com>
parents:
14786
diff
changeset
|
2341 betainc (const Array<double>& x, double a, double b) |
3146 | 2342 { |
14815
95b93a728603
Use Array superclass, rather than Matrix or NDArray, for betainc function.
Rik <octave@nomad.inbox5.com>
parents:
14786
diff
changeset
|
2343 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
|
2344 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
|
2345 |
95b93a728603
Use Array superclass, rather than Matrix or NDArray, for betainc function.
Rik <octave@nomad.inbox5.com>
parents:
14786
diff
changeset
|
2346 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
|
2347 |
95b93a728603
Use Array superclass, rather than Matrix or NDArray, for betainc function.
Rik <octave@nomad.inbox5.com>
parents:
14786
diff
changeset
|
2348 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
|
2349 |
95b93a728603
Use Array superclass, rather than Matrix or NDArray, for betainc function.
Rik <octave@nomad.inbox5.com>
parents:
14786
diff
changeset
|
2350 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
|
2351 *pretval++ = betainc (x(i), a, b); |
3146 | 2352 |
2353 return retval; | |
2354 } | |
2355 | |
14815
95b93a728603
Use Array superclass, rather than Matrix or NDArray, for betainc function.
Rik <octave@nomad.inbox5.com>
parents:
14786
diff
changeset
|
2356 Array<double> |
95b93a728603
Use Array superclass, rather than Matrix or NDArray, for betainc function.
Rik <octave@nomad.inbox5.com>
parents:
14786
diff
changeset
|
2357 betainc (const Array<double>& x, double a, const Array<double>& b) |
3146 | 2358 { |
14815
95b93a728603
Use Array superclass, rather than Matrix or NDArray, for betainc function.
Rik <octave@nomad.inbox5.com>
parents:
14786
diff
changeset
|
2359 Array<double> retval; |
4844 | 2360 dim_vector dv = x.dims (); |
2361 | |
2362 if (dv == b.dims ()) | |
2363 { | |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2364 octave_idx_type nel = dv.numel (); |
4844 | 2365 |
2366 retval.resize (dv); | |
2367 | |
14815
95b93a728603
Use Array superclass, rather than Matrix or NDArray, for betainc function.
Rik <octave@nomad.inbox5.com>
parents:
14786
diff
changeset
|
2368 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
|
2369 |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2370 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
|
2371 *pretval++ = betainc (x(i), a, b(i)); |
4844 | 2372 } |
2373 else | |
10258 | 2374 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
|
2375 |
4844 | 2376 return retval; |
2377 } | |
2378 | |
14815
95b93a728603
Use Array superclass, rather than Matrix or NDArray, for betainc function.
Rik <octave@nomad.inbox5.com>
parents:
14786
diff
changeset
|
2379 Array<double> |
95b93a728603
Use Array superclass, rather than Matrix or NDArray, for betainc function.
Rik <octave@nomad.inbox5.com>
parents:
14786
diff
changeset
|
2380 betainc (const Array<double>& x, const Array<double>& a, double b) |
4844 | 2381 { |
14815
95b93a728603
Use Array superclass, rather than Matrix or NDArray, for betainc function.
Rik <octave@nomad.inbox5.com>
parents:
14786
diff
changeset
|
2382 Array<double> retval; |
4844 | 2383 dim_vector dv = x.dims (); |
2384 | |
2385 if (dv == a.dims ()) | |
2386 { | |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2387 octave_idx_type nel = dv.numel (); |
4844 | 2388 |
2389 retval.resize (dv); | |
2390 | |
14815
95b93a728603
Use Array superclass, rather than Matrix or NDArray, for betainc function.
Rik <octave@nomad.inbox5.com>
parents:
14786
diff
changeset
|
2391 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
|
2392 |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2393 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
|
2394 *pretval++ = betainc (x(i), a(i), b); |
4844 | 2395 } |
2396 else | |
10258 | 2397 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
|
2398 |
4844 | 2399 return retval; |
2400 } | |
2401 | |
14815
95b93a728603
Use Array superclass, rather than Matrix or NDArray, for betainc function.
Rik <octave@nomad.inbox5.com>
parents:
14786
diff
changeset
|
2402 Array<double> |
95b93a728603
Use Array superclass, rather than Matrix or NDArray, for betainc function.
Rik <octave@nomad.inbox5.com>
parents:
14786
diff
changeset
|
2403 betainc (const Array<double>& x, const Array<double>& a, const Array<double>& b) |
4844 | 2404 { |
14815
95b93a728603
Use Array superclass, rather than Matrix or NDArray, for betainc function.
Rik <octave@nomad.inbox5.com>
parents:
14786
diff
changeset
|
2405 Array<double> retval; |
4844 | 2406 dim_vector dv = x.dims (); |
2407 | |
2408 if (dv == a.dims () && dv == b.dims ()) | |
2409 { | |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2410 octave_idx_type nel = dv.numel (); |
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 retval.resize (dv); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2413 |
14815
95b93a728603
Use Array superclass, rather than Matrix or NDArray, for betainc function.
Rik <octave@nomad.inbox5.com>
parents:
14786
diff
changeset
|
2414 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
|
2415 |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2416 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
|
2417 *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
|
2418 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2419 else |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2420 gripe_betainc_nonconformant (dv, a.dims (), b.dims ()); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2421 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2422 return retval; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2423 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2424 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2425 float |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2426 betainc (float x, float a, float b) |
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 float retval; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2429 F77_XFCN (xbetai, XBETAI, (x, a, b, retval)); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2430 return retval; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2431 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2432 |
14815
95b93a728603
Use Array superclass, rather than Matrix or NDArray, for betainc function.
Rik <octave@nomad.inbox5.com>
parents:
14786
diff
changeset
|
2433 Array<float> |
95b93a728603
Use Array superclass, rather than Matrix or NDArray, for betainc function.
Rik <octave@nomad.inbox5.com>
parents:
14786
diff
changeset
|
2434 betainc (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
|
2435 { |
14815
95b93a728603
Use Array superclass, rather than Matrix or NDArray, for betainc function.
Rik <octave@nomad.inbox5.com>
parents:
14786
diff
changeset
|
2436 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
|
2437 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
|
2438 |
95b93a728603
Use Array superclass, rather than Matrix or NDArray, for betainc function.
Rik <octave@nomad.inbox5.com>
parents:
14786
diff
changeset
|
2439 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
|
2440 |
95b93a728603
Use Array superclass, rather than Matrix or NDArray, for betainc function.
Rik <octave@nomad.inbox5.com>
parents:
14786
diff
changeset
|
2441 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
|
2442 |
95b93a728603
Use Array superclass, rather than Matrix or NDArray, for betainc function.
Rik <octave@nomad.inbox5.com>
parents:
14786
diff
changeset
|
2443 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
|
2444 *pretval++ = betainc (x, a, b(i)); |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2445 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2446 return retval; |
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 |
14815
95b93a728603
Use Array superclass, rather than Matrix or NDArray, for betainc function.
Rik <octave@nomad.inbox5.com>
parents:
14786
diff
changeset
|
2449 Array<float> |
95b93a728603
Use Array superclass, rather than Matrix or NDArray, for betainc function.
Rik <octave@nomad.inbox5.com>
parents:
14786
diff
changeset
|
2450 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
|
2451 { |
14815
95b93a728603
Use Array superclass, rather than Matrix or NDArray, for betainc function.
Rik <octave@nomad.inbox5.com>
parents:
14786
diff
changeset
|
2452 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
|
2453 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
|
2454 |
95b93a728603
Use Array superclass, rather than Matrix or NDArray, for betainc function.
Rik <octave@nomad.inbox5.com>
parents:
14786
diff
changeset
|
2455 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
|
2456 |
95b93a728603
Use Array superclass, rather than Matrix or NDArray, for betainc function.
Rik <octave@nomad.inbox5.com>
parents:
14786
diff
changeset
|
2457 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
|
2458 |
95b93a728603
Use Array superclass, rather than Matrix or NDArray, for betainc function.
Rik <octave@nomad.inbox5.com>
parents:
14786
diff
changeset
|
2459 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
|
2460 *pretval++ = betainc (x, a(i), b); |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2461 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2462 return retval; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2463 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2464 |
14815
95b93a728603
Use Array superclass, rather than Matrix or NDArray, for betainc function.
Rik <octave@nomad.inbox5.com>
parents:
14786
diff
changeset
|
2465 Array<float> |
95b93a728603
Use Array superclass, rather than Matrix or NDArray, for betainc function.
Rik <octave@nomad.inbox5.com>
parents:
14786
diff
changeset
|
2466 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
|
2467 { |
14815
95b93a728603
Use Array superclass, rather than Matrix or NDArray, for betainc function.
Rik <octave@nomad.inbox5.com>
parents:
14786
diff
changeset
|
2468 Array<float> retval; |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2469 dim_vector dv = a.dims (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2470 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2471 if (dv == b.dims ()) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2472 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2473 octave_idx_type nel = dv.numel (); |
4844 | 2474 |
2475 retval.resize (dv); | |
2476 | |
14815
95b93a728603
Use Array superclass, rather than Matrix or NDArray, for betainc function.
Rik <octave@nomad.inbox5.com>
parents:
14786
diff
changeset
|
2477 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
|
2478 |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2479 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
|
2480 *pretval++ = betainc (x, a(i), b(i)); |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2481 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2482 else |
10258 | 2483 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
|
2484 |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2485 return retval; |
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 |
14815
95b93a728603
Use Array superclass, rather than Matrix or NDArray, for betainc function.
Rik <octave@nomad.inbox5.com>
parents:
14786
diff
changeset
|
2488 Array<float> |
95b93a728603
Use Array superclass, rather than Matrix or NDArray, for betainc function.
Rik <octave@nomad.inbox5.com>
parents:
14786
diff
changeset
|
2489 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
|
2490 { |
14815
95b93a728603
Use Array superclass, rather than Matrix or NDArray, for betainc function.
Rik <octave@nomad.inbox5.com>
parents:
14786
diff
changeset
|
2491 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
|
2492 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
|
2493 |
95b93a728603
Use Array superclass, rather than Matrix or NDArray, for betainc function.
Rik <octave@nomad.inbox5.com>
parents:
14786
diff
changeset
|
2494 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
|
2495 |
95b93a728603
Use Array superclass, rather than Matrix or NDArray, for betainc function.
Rik <octave@nomad.inbox5.com>
parents:
14786
diff
changeset
|
2496 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
|
2497 |
95b93a728603
Use Array superclass, rather than Matrix or NDArray, for betainc function.
Rik <octave@nomad.inbox5.com>
parents:
14786
diff
changeset
|
2498 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
|
2499 *pretval++ = betainc (x(i), a, b); |
7789
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 return retval; |
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 |
14815
95b93a728603
Use Array superclass, rather than Matrix or NDArray, for betainc function.
Rik <octave@nomad.inbox5.com>
parents:
14786
diff
changeset
|
2504 Array<float> |
95b93a728603
Use Array superclass, rather than Matrix or NDArray, for betainc function.
Rik <octave@nomad.inbox5.com>
parents:
14786
diff
changeset
|
2505 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
|
2506 { |
14815
95b93a728603
Use Array superclass, rather than Matrix or NDArray, for betainc function.
Rik <octave@nomad.inbox5.com>
parents:
14786
diff
changeset
|
2507 Array<float> retval; |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2508 dim_vector dv = x.dims (); |
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 if (dv == b.dims ()) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2511 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2512 octave_idx_type nel = dv.numel (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2513 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2514 retval.resize (dv); |
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 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
|
2517 |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2518 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
|
2519 *pretval++ = betainc (x(i), a, b(i)); |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2520 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2521 else |
10258 | 2522 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
|
2523 |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2524 return retval; |
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 |
14815
95b93a728603
Use Array superclass, rather than Matrix or NDArray, for betainc function.
Rik <octave@nomad.inbox5.com>
parents:
14786
diff
changeset
|
2527 Array<float> |
95b93a728603
Use Array superclass, rather than Matrix or NDArray, for betainc function.
Rik <octave@nomad.inbox5.com>
parents:
14786
diff
changeset
|
2528 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
|
2529 { |
14815
95b93a728603
Use Array superclass, rather than Matrix or NDArray, for betainc function.
Rik <octave@nomad.inbox5.com>
parents:
14786
diff
changeset
|
2530 Array<float> retval; |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2531 dim_vector dv = x.dims (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2532 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2533 if (dv == a.dims ()) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2534 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2535 octave_idx_type nel = dv.numel (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2536 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2537 retval.resize (dv); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2538 |
14815
95b93a728603
Use Array superclass, rather than Matrix or NDArray, for betainc function.
Rik <octave@nomad.inbox5.com>
parents:
14786
diff
changeset
|
2539 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
|
2540 |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2541 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
|
2542 *pretval++ = betainc (x(i), a(i), b); |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2543 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2544 else |
10258 | 2545 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
|
2546 |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2547 return retval; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2548 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2549 |
14815
95b93a728603
Use Array superclass, rather than Matrix or NDArray, for betainc function.
Rik <octave@nomad.inbox5.com>
parents:
14786
diff
changeset
|
2550 Array<float> |
95b93a728603
Use Array superclass, rather than Matrix or NDArray, for betainc function.
Rik <octave@nomad.inbox5.com>
parents:
14786
diff
changeset
|
2551 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
|
2552 { |
14815
95b93a728603
Use Array superclass, rather than Matrix or NDArray, for betainc function.
Rik <octave@nomad.inbox5.com>
parents:
14786
diff
changeset
|
2553 Array<float> retval; |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2554 dim_vector dv = x.dims (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2555 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2556 if (dv == a.dims () && dv == b.dims ()) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2557 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2558 octave_idx_type nel = dv.numel (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2559 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2560 retval.resize (dv); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2561 |
14815
95b93a728603
Use Array superclass, rather than Matrix or NDArray, for betainc function.
Rik <octave@nomad.inbox5.com>
parents:
14786
diff
changeset
|
2562 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
|
2563 |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2564 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
|
2565 *pretval++ = betainc (x(i), a(i), b(i)); |
4844 | 2566 } |
2567 else | |
2568 gripe_betainc_nonconformant (dv, a.dims (), b.dims ()); | |
2569 | |
2570 return retval; | |
2571 } | |
2572 | |
17769
49a5a4be04a1
maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
2573 // FIXME: there is still room for improvement here... |
3164 | 2574 |
3146 | 2575 double |
4004 | 2576 gammainc (double x, double a, bool& err) |
3146 | 2577 { |
2578 double retval; | |
3164 | 2579 |
4004 | 2580 err = false; |
3164 | 2581 |
4004 | 2582 if (a < 0.0 || x < 0.0) |
2583 { | |
2584 (*current_liboctave_error_handler) | |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
2585 ("gammainc: A and X must be non-negative"); |
4004 | 2586 |
2587 err = true; | |
2588 } | |
2589 else | |
5278 | 2590 F77_XFCN (xgammainc, XGAMMAINC, (a, x, retval)); |
3164 | 2591 |
3146 | 2592 return retval; |
2593 } | |
2594 | |
2595 Matrix | |
2596 gammainc (double x, const Matrix& a) | |
2597 { | |
5275 | 2598 octave_idx_type nr = a.rows (); |
2599 octave_idx_type nc = a.cols (); | |
3146 | 2600 |
4004 | 2601 Matrix result (nr, nc); |
2602 Matrix retval; | |
2603 | |
2604 bool err; | |
3146 | 2605 |
5275 | 2606 for (octave_idx_type j = 0; j < nc; j++) |
2607 for (octave_idx_type i = 0; i < nr; i++) | |
4004 | 2608 { |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
2609 result(i,j) = gammainc (x, a(i,j), err); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
2610 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
2611 if (err) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
2612 goto done; |
4004 | 2613 } |
2614 | |
2615 retval = result; | |
2616 | |
17769
49a5a4be04a1
maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
2617 done: |
3146 | 2618 |
2619 return retval; | |
2620 } | |
2621 | |
2622 Matrix | |
2623 gammainc (const Matrix& x, double a) | |
2624 { | |
5275 | 2625 octave_idx_type nr = x.rows (); |
2626 octave_idx_type nc = x.cols (); | |
3146 | 2627 |
4004 | 2628 Matrix result (nr, nc); |
2629 Matrix retval; | |
2630 | |
2631 bool err; | |
3146 | 2632 |
5275 | 2633 for (octave_idx_type j = 0; j < nc; j++) |
2634 for (octave_idx_type i = 0; i < nr; i++) | |
4004 | 2635 { |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
2636 result(i,j) = gammainc (x(i,j), a, 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; |
4004 | 2640 } |
2641 | |
2642 retval = result; | |
2643 | |
17769
49a5a4be04a1
maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
2644 done: |
3146 | 2645 |
2646 return retval; | |
2647 } | |
2648 | |
2649 Matrix | |
2650 gammainc (const Matrix& x, const Matrix& a) | |
2651 { | |
4004 | 2652 Matrix result; |
3146 | 2653 Matrix retval; |
2654 | |
5275 | 2655 octave_idx_type nr = x.rows (); |
2656 octave_idx_type nc = x.cols (); | |
3146 | 2657 |
5275 | 2658 octave_idx_type a_nr = a.rows (); |
2659 octave_idx_type a_nc = a.cols (); | |
3146 | 2660 |
2661 if (nr == a_nr && nc == a_nc) | |
2662 { | |
4004 | 2663 result.resize (nr, nc); |
2664 | |
2665 bool err; | |
3146 | 2666 |
5275 | 2667 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
|
2668 for (octave_idx_type i = 0; i < nr; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
2669 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
2670 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
|
2671 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
2672 if (err) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
2673 goto done; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
2674 } |
4004 | 2675 |
2676 retval = result; | |
3146 | 2677 } |
2678 else | |
2679 (*current_liboctave_error_handler) | |
2680 ("gammainc: nonconformant arguments (arg 1 is %dx%d, arg 2 is %dx%d)", | |
2681 nr, nc, a_nr, a_nc); | |
2682 | |
17769
49a5a4be04a1
maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
2683 done: |
4004 | 2684 |
3146 | 2685 return retval; |
2686 } | |
2687 | |
4844 | 2688 NDArray |
2689 gammainc (double x, const NDArray& a) | |
2690 { | |
2691 dim_vector dv = a.dims (); | |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2692 octave_idx_type nel = dv.numel (); |
4844 | 2693 |
2694 NDArray retval; | |
2695 NDArray result (dv); | |
2696 | |
2697 bool err; | |
2698 | |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2699 for (octave_idx_type i = 0; i < nel; i++) |
4844 | 2700 { |
2701 result (i) = gammainc (x, a(i), err); | |
2702 | |
2703 if (err) | |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
2704 goto done; |
4844 | 2705 } |
2706 | |
2707 retval = result; | |
2708 | |
17769
49a5a4be04a1
maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
2709 done: |
4844 | 2710 |
2711 return retval; | |
2712 } | |
2713 | |
2714 NDArray | |
2715 gammainc (const NDArray& x, double a) | |
2716 { | |
2717 dim_vector dv = x.dims (); | |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2718 octave_idx_type nel = dv.numel (); |
4844 | 2719 |
2720 NDArray retval; | |
2721 NDArray result (dv); | |
2722 | |
2723 bool err; | |
2724 | |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2725 for (octave_idx_type i = 0; i < nel; i++) |
4844 | 2726 { |
2727 result (i) = gammainc (x(i), a, err); | |
2728 | |
2729 if (err) | |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
2730 goto done; |
4844 | 2731 } |
2732 | |
2733 retval = result; | |
2734 | |
17769
49a5a4be04a1
maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
2735 done: |
4844 | 2736 |
2737 return retval; | |
2738 } | |
2739 | |
2740 NDArray | |
2741 gammainc (const NDArray& x, const NDArray& a) | |
2742 { | |
2743 dim_vector dv = x.dims (); | |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2744 octave_idx_type nel = dv.numel (); |
4844 | 2745 |
2746 NDArray retval; | |
2747 NDArray result; | |
2748 | |
2749 if (dv == a.dims ()) | |
2750 { | |
2751 result.resize (dv); | |
2752 | |
2753 bool err; | |
2754 | |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2755 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
|
2756 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
2757 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
|
2758 |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
2759 if (err) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
2760 goto done; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
2761 } |
7789
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 retval = result; |
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 else |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2766 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2767 std::string x_str = dv.str (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2768 std::string a_str = a.dims ().str (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2769 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2770 (*current_liboctave_error_handler) |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
2771 ("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
|
2772 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
|
2773 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2774 |
17769
49a5a4be04a1
maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
2775 done: |
7789
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 return retval; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2778 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2779 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2780 float |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2781 gammainc (float x, float a, bool& err) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2782 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2783 float retval; |
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 err = false; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2786 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2787 if (a < 0.0 || x < 0.0) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2788 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2789 (*current_liboctave_error_handler) |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
2790 ("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
|
2791 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2792 err = true; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2793 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2794 else |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2795 F77_XFCN (xsgammainc, XSGAMMAINC, (a, x, retval)); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2796 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2797 return retval; |
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 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2800 FloatMatrix |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2801 gammainc (float x, const FloatMatrix& a) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2802 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2803 octave_idx_type nr = a.rows (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2804 octave_idx_type nc = a.cols (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2805 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2806 FloatMatrix result (nr, nc); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2807 FloatMatrix retval; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2808 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2809 bool err; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2810 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2811 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
|
2812 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
|
2813 { |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
2814 result(i,j) = gammainc (x, a(i,j), err); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
2815 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
2816 if (err) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
2817 goto done; |
7789
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 retval = result; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2821 |
17769
49a5a4be04a1
maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
2822 done: |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2823 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2824 return 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 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2827 FloatMatrix |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2828 gammainc (const FloatMatrix& x, float a) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2829 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2830 octave_idx_type nr = x.rows (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2831 octave_idx_type nc = x.cols (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2832 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2833 FloatMatrix result (nr, nc); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2834 FloatMatrix retval; |
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++) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2839 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
|
2840 { |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
2841 result(i,j) = gammainc (x(i,j), a, 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; |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2845 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2846 |
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 |
17769
49a5a4be04a1
maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
2849 done: |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2850 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2851 return retval; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2852 } |
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 FloatMatrix |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2855 gammainc (const FloatMatrix& x, const FloatMatrix& a) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2856 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2857 FloatMatrix result; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2858 FloatMatrix retval; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2859 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2860 octave_idx_type nr = x.rows (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2861 octave_idx_type nc = x.cols (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2862 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2863 octave_idx_type a_nr = a.rows (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2864 octave_idx_type a_nc = a.cols (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2865 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2866 if (nr == a_nr && nc == a_nc) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2867 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2868 result.resize (nr, nc); |
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 bool err; |
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 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
|
2873 for (octave_idx_type i = 0; i < nr; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
2874 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
2875 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
|
2876 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
2877 if (err) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
2878 goto done; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
2879 } |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2880 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2881 retval = result; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2882 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2883 else |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2884 (*current_liboctave_error_handler) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2885 ("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
|
2886 nr, nc, a_nr, a_nc); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2887 |
17769
49a5a4be04a1
maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
2888 done: |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2889 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2890 return retval; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2891 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2892 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2893 FloatNDArray |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2894 gammainc (float x, const FloatNDArray& a) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2895 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2896 dim_vector dv = a.dims (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2897 octave_idx_type nel = dv.numel (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2898 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2899 FloatNDArray retval; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2900 FloatNDArray result (dv); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2901 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2902 bool err; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2903 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2904 for (octave_idx_type i = 0; i < nel; i++) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2905 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2906 result (i) = gammainc (x, a(i), err); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2907 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2908 if (err) |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
2909 goto done; |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2910 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2911 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2912 retval = result; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2913 |
17769
49a5a4be04a1
maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
2914 done: |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2915 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2916 return retval; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2917 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2918 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2919 FloatNDArray |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2920 gammainc (const FloatNDArray& x, float a) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2921 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2922 dim_vector dv = x.dims (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2923 octave_idx_type nel = dv.numel (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2924 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2925 FloatNDArray retval; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2926 FloatNDArray result (dv); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2927 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2928 bool err; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2929 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2930 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
|
2931 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2932 result (i) = gammainc (x(i), a, err); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2933 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2934 if (err) |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
2935 goto done; |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2936 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2937 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2938 retval = result; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2939 |
17769
49a5a4be04a1
maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
2940 done: |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2941 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2942 return retval; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2943 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2944 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2945 FloatNDArray |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2946 gammainc (const FloatNDArray& x, const FloatNDArray& a) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2947 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2948 dim_vector dv = x.dims (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2949 octave_idx_type nel = dv.numel (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2950 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2951 FloatNDArray retval; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2952 FloatNDArray result; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2953 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2954 if (dv == a.dims ()) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2955 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2956 result.resize (dv); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2957 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2958 bool err; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2959 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2960 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
|
2961 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
2962 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
|
2963 |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
2964 if (err) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
2965 goto done; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
2966 } |
4844 | 2967 |
2968 retval = result; | |
2969 } | |
2970 else | |
2971 { | |
2972 std::string x_str = dv.str (); | |
2973 std::string a_str = a.dims ().str (); | |
2974 | |
2975 (*current_liboctave_error_handler) | |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
2976 ("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
|
2977 x_str.c_str (), a_str.c_str ()); |
4844 | 2978 } |
2979 | |
17769
49a5a4be04a1
maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
2980 done: |
4844 | 2981 |
2982 return retval; | |
2983 } | |
2984 | |
9812
f80c566bc751
improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents:
9732
diff
changeset
|
2985 |
f80c566bc751
improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents:
9732
diff
changeset
|
2986 Complex rc_log1p (double x) |
f80c566bc751
improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents:
9732
diff
changeset
|
2987 { |
f80c566bc751
improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents:
9732
diff
changeset
|
2988 const double pi = 3.14159265358979323846; |
f80c566bc751
improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents:
9732
diff
changeset
|
2989 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
|
2990 } |
f80c566bc751
improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents:
9732
diff
changeset
|
2991 |
f80c566bc751
improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents:
9732
diff
changeset
|
2992 FloatComplex rc_log1p (float x) |
f80c566bc751
improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents:
9732
diff
changeset
|
2993 { |
f80c566bc751
improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents:
9732
diff
changeset
|
2994 const float pi = 3.14159265358979323846f; |
17769
49a5a4be04a1
maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
2995 return x < -1.0f ? FloatComplex (logf (-(1.0f + x)), pi) |
49a5a4be04a1
maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
2996 : FloatComplex (log1pf (x)); |
9812
f80c566bc751
improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents:
9732
diff
changeset
|
2997 } |
f80c566bc751
improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents:
9732
diff
changeset
|
2998 |
9838 | 2999 // This algorithm is due to P. J. Acklam. |
9837
7c70084b125e
improve comment for 9835
Jaroslav Hajek <highegg@gmail.com>
parents:
9835
diff
changeset
|
3000 // See http://home.online.no/~pjacklam/notes/invnorm/ |
7c70084b125e
improve comment for 9835
Jaroslav Hajek <highegg@gmail.com>
parents:
9835
diff
changeset
|
3001 // 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
|
3002 // 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
|
3003 // 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
|
3004 // faster evaluation. |
1bb1ed717d2f
implement built-in erfinv
Jaroslav Hajek <highegg@gmail.com>
parents:
9812
diff
changeset
|
3005 |
1bb1ed717d2f
implement built-in erfinv
Jaroslav Hajek <highegg@gmail.com>
parents:
9812
diff
changeset
|
3006 static double do_erfinv (double x, bool refine) |
1bb1ed717d2f
implement built-in erfinv
Jaroslav Hajek <highegg@gmail.com>
parents:
9812
diff
changeset
|
3007 { |
1bb1ed717d2f
implement built-in erfinv
Jaroslav Hajek <highegg@gmail.com>
parents:
9812
diff
changeset
|
3008 // Coefficients of rational approximation. |
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
3009 static const double a[] = |
17769
49a5a4be04a1
maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
3010 { |
49a5a4be04a1
maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
3011 -2.806989788730439e+01, 1.562324844726888e+02, |
49a5a4be04a1
maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
3012 -1.951109208597547e+02, 9.783370457507161e+01, |
49a5a4be04a1
maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
3013 -2.168328665628878e+01, 1.772453852905383e+00 |
49a5a4be04a1
maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
3014 }; |
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
3015 static const double b[] = |
17769
49a5a4be04a1
maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
3016 { |
49a5a4be04a1
maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
3017 -5.447609879822406e+01, 1.615858368580409e+02, |
49a5a4be04a1
maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
3018 -1.556989798598866e+02, 6.680131188771972e+01, |
49a5a4be04a1
maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
3019 -1.328068155288572e+01 |
49a5a4be04a1
maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
3020 }; |
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
3021 static const double c[] = |
17769
49a5a4be04a1
maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
3022 { |
49a5a4be04a1
maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
3023 -5.504751339936943e-03, -2.279687217114118e-01, |
49a5a4be04a1
maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
3024 -1.697592457770869e+00, -1.802933168781950e+00, |
49a5a4be04a1
maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
3025 3.093354679843505e+00, 2.077595676404383e+00 |
49a5a4be04a1
maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
3026 }; |
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
3027 static const double d[] = |
17769
49a5a4be04a1
maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
3028 { |
49a5a4be04a1
maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
3029 7.784695709041462e-03, 3.224671290700398e-01, |
49a5a4be04a1
maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
3030 2.445134137142996e+00, 3.754408661907416e+00 |
49a5a4be04a1
maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
3031 }; |
9835
1bb1ed717d2f
implement built-in erfinv
Jaroslav Hajek <highegg@gmail.com>
parents:
9812
diff
changeset
|
3032 |
14781
e190f6da40f6
maint: Correct comments and use Octave spacing conventions for erfinv.
Rik <octave@nomad.inbox5.com>
parents:
14771
diff
changeset
|
3033 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
|
3034 static const double pbreak = 0.95150; |
1bb1ed717d2f
implement built-in erfinv
Jaroslav Hajek <highegg@gmail.com>
parents:
9812
diff
changeset
|
3035 double ax = fabs (x), y; |
1bb1ed717d2f
implement built-in erfinv
Jaroslav Hajek <highegg@gmail.com>
parents:
9812
diff
changeset
|
3036 |
1bb1ed717d2f
implement built-in erfinv
Jaroslav Hajek <highegg@gmail.com>
parents:
9812
diff
changeset
|
3037 // Select case. |
1bb1ed717d2f
implement built-in erfinv
Jaroslav Hajek <highegg@gmail.com>
parents:
9812
diff
changeset
|
3038 if (ax <= pbreak) |
1bb1ed717d2f
implement built-in erfinv
Jaroslav Hajek <highegg@gmail.com>
parents:
9812
diff
changeset
|
3039 { |
1bb1ed717d2f
implement built-in erfinv
Jaroslav Hajek <highegg@gmail.com>
parents:
9812
diff
changeset
|
3040 // Middle region. |
1bb1ed717d2f
implement built-in erfinv
Jaroslav Hajek <highegg@gmail.com>
parents:
9812
diff
changeset
|
3041 const double q = 0.5 * x, r = q*q; |
1bb1ed717d2f
implement built-in erfinv
Jaroslav Hajek <highegg@gmail.com>
parents:
9812
diff
changeset
|
3042 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
|
3043 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
|
3044 y = yn / yd; |
1bb1ed717d2f
implement built-in erfinv
Jaroslav Hajek <highegg@gmail.com>
parents:
9812
diff
changeset
|
3045 } |
1bb1ed717d2f
implement built-in erfinv
Jaroslav Hajek <highegg@gmail.com>
parents:
9812
diff
changeset
|
3046 else if (ax < 1.0) |
1bb1ed717d2f
implement built-in erfinv
Jaroslav Hajek <highegg@gmail.com>
parents:
9812
diff
changeset
|
3047 { |
1bb1ed717d2f
implement built-in erfinv
Jaroslav Hajek <highegg@gmail.com>
parents:
9812
diff
changeset
|
3048 // Tail region. |
1bb1ed717d2f
implement built-in erfinv
Jaroslav Hajek <highegg@gmail.com>
parents:
9812
diff
changeset
|
3049 const double q = sqrt (-2*log (0.5*(1-ax))); |
1bb1ed717d2f
implement built-in erfinv
Jaroslav Hajek <highegg@gmail.com>
parents:
9812
diff
changeset
|
3050 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
|
3051 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
|
3052 y = yn / yd * signum (-x); |
1bb1ed717d2f
implement built-in erfinv
Jaroslav Hajek <highegg@gmail.com>
parents:
9812
diff
changeset
|
3053 } |
1bb1ed717d2f
implement built-in erfinv
Jaroslav Hajek <highegg@gmail.com>
parents:
9812
diff
changeset
|
3054 else if (ax == 1.0) |
1bb1ed717d2f
implement built-in erfinv
Jaroslav Hajek <highegg@gmail.com>
parents:
9812
diff
changeset
|
3055 return octave_Inf * signum (x); |
1bb1ed717d2f
implement built-in erfinv
Jaroslav Hajek <highegg@gmail.com>
parents:
9812
diff
changeset
|
3056 else |
1bb1ed717d2f
implement built-in erfinv
Jaroslav Hajek <highegg@gmail.com>
parents:
9812
diff
changeset
|
3057 return octave_NaN; |
1bb1ed717d2f
implement built-in erfinv
Jaroslav Hajek <highegg@gmail.com>
parents:
9812
diff
changeset
|
3058 |
1bb1ed717d2f
implement built-in erfinv
Jaroslav Hajek <highegg@gmail.com>
parents:
9812
diff
changeset
|
3059 if (refine) |
1bb1ed717d2f
implement built-in erfinv
Jaroslav Hajek <highegg@gmail.com>
parents:
9812
diff
changeset
|
3060 { |
1bb1ed717d2f
implement built-in erfinv
Jaroslav Hajek <highegg@gmail.com>
parents:
9812
diff
changeset
|
3061 // 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
|
3062 double u = (erf (y) - x) * spi2 * exp (y*y); |
9835
1bb1ed717d2f
implement built-in erfinv
Jaroslav Hajek <highegg@gmail.com>
parents:
9812
diff
changeset
|
3063 y -= u / (1 + y*u); |
1bb1ed717d2f
implement built-in erfinv
Jaroslav Hajek <highegg@gmail.com>
parents:
9812
diff
changeset
|
3064 } |
1bb1ed717d2f
implement built-in erfinv
Jaroslav Hajek <highegg@gmail.com>
parents:
9812
diff
changeset
|
3065 |
1bb1ed717d2f
implement built-in erfinv
Jaroslav Hajek <highegg@gmail.com>
parents:
9812
diff
changeset
|
3066 return y; |
1bb1ed717d2f
implement built-in erfinv
Jaroslav Hajek <highegg@gmail.com>
parents:
9812
diff
changeset
|
3067 } |
1bb1ed717d2f
implement built-in erfinv
Jaroslav Hajek <highegg@gmail.com>
parents:
9812
diff
changeset
|
3068 |
1bb1ed717d2f
implement built-in erfinv
Jaroslav Hajek <highegg@gmail.com>
parents:
9812
diff
changeset
|
3069 double erfinv (double x) |
1bb1ed717d2f
implement built-in erfinv
Jaroslav Hajek <highegg@gmail.com>
parents:
9812
diff
changeset
|
3070 { |
1bb1ed717d2f
implement built-in erfinv
Jaroslav Hajek <highegg@gmail.com>
parents:
9812
diff
changeset
|
3071 return do_erfinv (x, true); |
1bb1ed717d2f
implement built-in erfinv
Jaroslav Hajek <highegg@gmail.com>
parents:
9812
diff
changeset
|
3072 } |
1bb1ed717d2f
implement built-in erfinv
Jaroslav Hajek <highegg@gmail.com>
parents:
9812
diff
changeset
|
3073 |
1bb1ed717d2f
implement built-in erfinv
Jaroslav Hajek <highegg@gmail.com>
parents:
9812
diff
changeset
|
3074 float erfinv (float x) |
1bb1ed717d2f
implement built-in erfinv
Jaroslav Hajek <highegg@gmail.com>
parents:
9812
diff
changeset
|
3075 { |
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
3076 return do_erfinv (x, false); |
9835
1bb1ed717d2f
implement built-in erfinv
Jaroslav Hajek <highegg@gmail.com>
parents:
9812
diff
changeset
|
3077 } |
10391
59e34bcdff13
implement built-in erfcx
Jaroslav Hajek <highegg@gmail.com>
parents:
10352
diff
changeset
|
3078 |
14786
e70a0c9cada6
Pre-compute bounds (constant folding) for erfcinv function.
Rik <octave@nomad.inbox5.com>
parents:
14781
diff
changeset
|
3079 // 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
|
3080 // 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
|
3081 // 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
|
3082 |
14770
cb85e836d035
New function: erfcinv (bug #36607)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14197
diff
changeset
|
3083 static double do_erfcinv (double x, bool refine) |
cb85e836d035
New function: erfcinv (bug #36607)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14197
diff
changeset
|
3084 { |
cb85e836d035
New function: erfcinv (bug #36607)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14197
diff
changeset
|
3085 // Coefficients of rational approximation. |
cb85e836d035
New function: erfcinv (bug #36607)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14197
diff
changeset
|
3086 static const double a[] = |
17769
49a5a4be04a1
maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
3087 { |
49a5a4be04a1
maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
3088 -2.806989788730439e+01, 1.562324844726888e+02, |
49a5a4be04a1
maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
3089 -1.951109208597547e+02, 9.783370457507161e+01, |
49a5a4be04a1
maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
3090 -2.168328665628878e+01, 1.772453852905383e+00 |
49a5a4be04a1
maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
3091 }; |
14770
cb85e836d035
New function: erfcinv (bug #36607)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14197
diff
changeset
|
3092 static const double b[] = |
17769
49a5a4be04a1
maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
3093 { |
49a5a4be04a1
maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
3094 -5.447609879822406e+01, 1.615858368580409e+02, |
49a5a4be04a1
maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
3095 -1.556989798598866e+02, 6.680131188771972e+01, |
49a5a4be04a1
maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
3096 -1.328068155288572e+01 |
49a5a4be04a1
maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
3097 }; |
14770
cb85e836d035
New function: erfcinv (bug #36607)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14197
diff
changeset
|
3098 static const double c[] = |
17769
49a5a4be04a1
maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
3099 { |
49a5a4be04a1
maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
3100 -5.504751339936943e-03, -2.279687217114118e-01, |
49a5a4be04a1
maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
3101 -1.697592457770869e+00, -1.802933168781950e+00, |
49a5a4be04a1
maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
3102 3.093354679843505e+00, 2.077595676404383e+00 |
49a5a4be04a1
maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
3103 }; |
14770
cb85e836d035
New function: erfcinv (bug #36607)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14197
diff
changeset
|
3104 static const double d[] = |
17769
49a5a4be04a1
maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
3105 { |
49a5a4be04a1
maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
3106 7.784695709041462e-03, 3.224671290700398e-01, |
49a5a4be04a1
maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
3107 2.445134137142996e+00, 3.754408661907416e+00 |
49a5a4be04a1
maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
3108 }; |
14770
cb85e836d035
New function: erfcinv (bug #36607)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14197
diff
changeset
|
3109 |
14771
10ed11922f19
maint: code cleanup for new erfcinv function.
Rik <octave@nomad.inbox5.com>
parents:
14770
diff
changeset
|
3110 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
|
3111 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
|
3112 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
|
3113 double y; |
cb85e836d035
New function: erfcinv (bug #36607)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14197
diff
changeset
|
3114 |
cb85e836d035
New function: erfcinv (bug #36607)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14197
diff
changeset
|
3115 // Select case. |
14786
e70a0c9cada6
Pre-compute bounds (constant folding) for erfcinv function.
Rik <octave@nomad.inbox5.com>
parents:
14781
diff
changeset
|
3116 if (x >= pbreak_lo && x <= pbreak_hi) |
14770
cb85e836d035
New function: erfcinv (bug #36607)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14197
diff
changeset
|
3117 { |
cb85e836d035
New function: erfcinv (bug #36607)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14197
diff
changeset
|
3118 // Middle region. |
cb85e836d035
New function: erfcinv (bug #36607)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14197
diff
changeset
|
3119 const double q = 0.5*(1-x), r = q*q; |
cb85e836d035
New function: erfcinv (bug #36607)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14197
diff
changeset
|
3120 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
|
3121 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
|
3122 y = yn / yd; |
cb85e836d035
New function: erfcinv (bug #36607)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14197
diff
changeset
|
3123 } |
14786
e70a0c9cada6
Pre-compute bounds (constant folding) for erfcinv function.
Rik <octave@nomad.inbox5.com>
parents:
14781
diff
changeset
|
3124 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
|
3125 { |
cb85e836d035
New function: erfcinv (bug #36607)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14197
diff
changeset
|
3126 // Tail region. |
cb85e836d035
New function: erfcinv (bug #36607)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14197
diff
changeset
|
3127 const double q = x < 1 ? sqrt (-2*log (0.5*x)) : sqrt (-2*log (0.5*(2-x))); |
cb85e836d035
New function: erfcinv (bug #36607)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14197
diff
changeset
|
3128 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
|
3129 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
|
3130 y = yn / yd; |
14786
e70a0c9cada6
Pre-compute bounds (constant folding) for erfcinv function.
Rik <octave@nomad.inbox5.com>
parents:
14781
diff
changeset
|
3131 if (x < pbreak_lo) |
e70a0c9cada6
Pre-compute bounds (constant folding) for erfcinv function.
Rik <octave@nomad.inbox5.com>
parents:
14781
diff
changeset
|
3132 y = -y; |
14770
cb85e836d035
New function: erfcinv (bug #36607)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14197
diff
changeset
|
3133 } |
cb85e836d035
New function: erfcinv (bug #36607)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14197
diff
changeset
|
3134 else if (x == 0.0) |
cb85e836d035
New function: erfcinv (bug #36607)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14197
diff
changeset
|
3135 return octave_Inf; |
cb85e836d035
New function: erfcinv (bug #36607)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14197
diff
changeset
|
3136 else if (x == 2.0) |
cb85e836d035
New function: erfcinv (bug #36607)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14197
diff
changeset
|
3137 return -octave_Inf; |
cb85e836d035
New function: erfcinv (bug #36607)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14197
diff
changeset
|
3138 else |
cb85e836d035
New function: erfcinv (bug #36607)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14197
diff
changeset
|
3139 return octave_NaN; |
cb85e836d035
New function: erfcinv (bug #36607)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14197
diff
changeset
|
3140 |
cb85e836d035
New function: erfcinv (bug #36607)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14197
diff
changeset
|
3141 if (refine) |
cb85e836d035
New function: erfcinv (bug #36607)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14197
diff
changeset
|
3142 { |
cb85e836d035
New function: erfcinv (bug #36607)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14197
diff
changeset
|
3143 // 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
|
3144 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
|
3145 y -= u / (1 + y*u); |
cb85e836d035
New function: erfcinv (bug #36607)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14197
diff
changeset
|
3146 } |
cb85e836d035
New function: erfcinv (bug #36607)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14197
diff
changeset
|
3147 |
cb85e836d035
New function: erfcinv (bug #36607)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14197
diff
changeset
|
3148 return y; |
cb85e836d035
New function: erfcinv (bug #36607)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14197
diff
changeset
|
3149 } |
cb85e836d035
New function: erfcinv (bug #36607)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14197
diff
changeset
|
3150 |
cb85e836d035
New function: erfcinv (bug #36607)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14197
diff
changeset
|
3151 double erfcinv (double x) |
cb85e836d035
New function: erfcinv (bug #36607)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14197
diff
changeset
|
3152 { |
cb85e836d035
New function: erfcinv (bug #36607)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14197
diff
changeset
|
3153 return do_erfcinv (x, true); |
cb85e836d035
New function: erfcinv (bug #36607)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14197
diff
changeset
|
3154 } |
cb85e836d035
New function: erfcinv (bug #36607)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14197
diff
changeset
|
3155 |
cb85e836d035
New function: erfcinv (bug #36607)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14197
diff
changeset
|
3156 float erfcinv (float x) |
cb85e836d035
New function: erfcinv (bug #36607)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14197
diff
changeset
|
3157 { |
cb85e836d035
New function: erfcinv (bug #36607)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14197
diff
changeset
|
3158 return do_erfcinv (x, false); |
cb85e836d035
New function: erfcinv (bug #36607)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14197
diff
changeset
|
3159 } |
cb85e836d035
New function: erfcinv (bug #36607)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14197
diff
changeset
|
3160 |
14816
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3161 // |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3162 // Incomplete Beta function ratio |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3163 // |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3164 // Algorithm based on the one by John Burkardt. |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3165 // 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
|
3166 // |
14817
67897baaa05f
Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents:
14816
diff
changeset
|
3167 // 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
|
3168 // |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3169 // Reference: |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3170 // |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3171 // KL Majumder, GP Bhattacharjee, |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3172 // Algorithm AS 63: |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3173 // The incomplete Beta Integral, |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3174 // Applied Statistics, |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3175 // Volume 22, Number 3, 1973, pages 409-411. |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3176 // |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3177 double |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3178 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
|
3179 { |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3180 double acu = 0.1E-14, ai, cx; |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3181 bool indx; |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3182 int ns; |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3183 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
|
3184 |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3185 value = x; |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3186 err = false; |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3187 |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3188 // Check the input arguments. |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3189 |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3190 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
|
3191 { |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3192 err = true; |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3193 return 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 |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3196 // Special cases. |
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 (x == 0.0 || x == 1.0) |
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 return 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 |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3203 // Change tail if necessary and determine S. |
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 psq = p + q; |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3206 cx = 1.0 - x; |
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 (p < psq * x) |
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 xx = cx; |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3211 cx = x; |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3212 pp = q; |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3213 qq = p; |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3214 indx = true; |
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 xx = x; |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3219 pp = p; |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3220 qq = q; |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3221 indx = false; |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3222 } |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3223 |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3224 term = 1.0; |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3225 ai = 1.0; |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3226 value = 1.0; |
15217
d2220c3def3f
avoid C-style cast warning
John W. Eaton <jwe@octave.org>
parents:
15084
diff
changeset
|
3227 ns = static_cast<int> (qq + cx * psq); |
14816
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 // Use the Soper reduction formula. |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3230 |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3231 rx = xx / cx; |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3232 temp = qq - ai; |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3233 if (ns == 0) |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3234 { |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3235 rx = xx; |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3236 } |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3237 |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3238 for ( ; ; ) |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3239 { |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3240 term = term * temp * rx / (pp + ai); |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3241 value = value + term; |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3242 temp = fabs (term); |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3243 |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3244 if (temp <= acu && temp <= acu * value) |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3245 { |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3246 value = value * exp (pp * log (xx) |
17769
49a5a4be04a1
maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
3247 + (qq - 1.0) * log (cx) - beta) / pp; |
14816
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3248 |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3249 if (indx) |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3250 { |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3251 value = 1.0 - value; |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3252 } |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3253 break; |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3254 } |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3255 |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3256 ai = ai + 1.0; |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3257 ns = ns - 1; |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3258 |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3259 if (0 <= ns) |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3260 { |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3261 temp = qq - ai; |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3262 if (ns == 0) |
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 rx = xx; |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3265 } |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3266 } |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3267 else |
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 temp = psq; |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3270 psq = psq + 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 } |
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 return value; |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3275 } |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3276 |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3277 // |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3278 // Inverse of the incomplete Beta function |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3279 // |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3280 // Algorithm based on the one by John Burkardt. |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3281 // 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
|
3282 // |
14817
67897baaa05f
Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents:
14816
diff
changeset
|
3283 // 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
|
3284 // |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3285 // Reference: |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3286 // |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3287 // GW Cran, KJ Martin, GE Thomas, |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3288 // Remark AS R19 and Algorithm AS 109: |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3289 // 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
|
3290 // 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
|
3291 // Applied Statistics, |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3292 // Volume 26, Number 1, 1977, pages 111-114. |
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 double |
15217
d2220c3def3f
avoid C-style cast warning
John W. Eaton <jwe@octave.org>
parents:
15084
diff
changeset
|
3295 betaincinv (double y, double p, double q) |
d2220c3def3f
avoid C-style cast warning
John W. Eaton <jwe@octave.org>
parents:
15084
diff
changeset
|
3296 { |
14816
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3297 double a, acu, adj, fpu, g, h; |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3298 int iex; |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3299 bool indx; |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3300 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
|
3301 |
14847
bcf86cc2f1ee
Use xlgamma instead of lgamma in betaincinv for portability across systems.
Rik <octave@nomad.inbox5.com>
parents:
14846
diff
changeset
|
3302 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
|
3303 bool err = false; |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3304 fpu = pow (10.0, sae); |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3305 value = y; |
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 // Test for admissibility of parameters. |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3308 |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3309 if (p <= 0.0 || q <= 0.0) |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3310 { |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3311 (*current_liboctave_error_handler) |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3312 ("betaincinv: wrong parameters"); |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3313 } |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3314 |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3315 if (y < 0.0 || 1.0 < y) |
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 (*current_liboctave_error_handler) |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3318 ("betaincinv: wrong parameter Y"); |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3319 } |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3320 |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3321 if (y == 0.0 || y == 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 return value; |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3324 } |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3325 |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3326 // Change tail if necessary. |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3327 |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3328 if (0.5 < y) |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3329 { |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3330 a = 1.0 - y; |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3331 pp = q; |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3332 qq = p; |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3333 indx = true; |
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 else |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3336 { |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3337 a = y; |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3338 pp = p; |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3339 qq = q; |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3340 indx = false; |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3341 } |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3342 |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3343 // Calculate the initial approximation. |
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 r = sqrt (- log (a * a)); |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3346 |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3347 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
|
3348 |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3349 if (1.0 < pp && 1.0 < qq) |
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 r = (ycur * ycur - 3.0) / 6.0; |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3352 s = 1.0 / (pp + pp - 1.0); |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3353 t = 1.0 / (qq + qq - 1.0); |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3354 h = 2.0 / (s + t); |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3355 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
|
3356 value = pp / (pp + qq * exp (w + w)); |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3357 } |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3358 else |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3359 { |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3360 r = qq + qq; |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3361 t = 1.0 / (9.0 * qq); |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3362 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
|
3363 |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3364 if (t <= 0.0) |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3365 { |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3366 value = 1.0 - exp ((log ((1.0 - a) * qq) + beta) / qq); |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3367 } |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3368 else |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3369 { |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3370 t = (4.0 * pp + r - 2.0) / t; |
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 if (t <= 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 value = exp ((log (a * pp) + beta) / pp); |
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 else |
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 value = 1.0 - 2.0 / (t + 1.0); |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3379 } |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3380 } |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3381 } |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3382 |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3383 // 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
|
3384 // using the function BETAIN. |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3385 |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3386 r = 1.0 - pp; |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3387 t = 1.0 - qq; |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3388 yprev = 0.0; |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3389 sq = 1.0; |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3390 prev = 1.0; |
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 if (value < 0.0001) |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3393 { |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3394 value = 0.0001; |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3395 } |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3396 |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3397 if (0.9999 < 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 value = 0.9999; |
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 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
|
3403 |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3404 acu = pow (10.0, iex); |
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 for ( ; ; ) |
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 ycur = betain (value, pp, qq, beta, err); |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3409 |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3410 if (err) |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3411 { |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3412 return value; |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3413 } |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3414 |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3415 xin = value; |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3416 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
|
3417 |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3418 if (ycur * yprev <= 0.0) |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3419 { |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3420 prev = std::max (sq, fpu); |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3421 } |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3422 |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3423 g = 1.0; |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3424 |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3425 for ( ; ; ) |
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 for ( ; ; ) |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3428 { |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3429 adj = g * ycur; |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3430 sq = adj * adj; |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3431 |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3432 if (sq < prev) |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3433 { |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3434 tx = value - adj; |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3435 |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3436 if (0.0 <= tx && tx <= 1.0) |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3437 { |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3438 break; |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3439 } |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3440 } |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3441 g = g / 3.0; |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3442 } |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3443 |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3444 if (prev <= acu) |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3445 { |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3446 if (indx) |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3447 { |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3448 value = 1.0 - value; |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3449 } |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3450 return value; |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3451 } |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3452 |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3453 if (ycur * ycur <= acu) |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3454 { |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3455 if (indx) |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3456 { |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3457 value = 1.0 - value; |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3458 } |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3459 return value; |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3460 } |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3461 |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3462 if (tx != 0.0 && tx != 1.0) |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3463 { |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3464 break; |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3465 } |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3466 |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3467 g = g / 3.0; |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3468 } |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3469 |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3470 if (tx == value) |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3471 { |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3472 break; |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3473 } |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3474 |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3475 value = tx; |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3476 yprev = ycur; |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3477 } |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3478 |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3479 if (indx) |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3480 { |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3481 value = 1.0 - value; |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3482 } |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3483 |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3484 return value; |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3485 } |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3486 |
14817
67897baaa05f
Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents:
14816
diff
changeset
|
3487 Array<double> |
67897baaa05f
Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents:
14816
diff
changeset
|
3488 betaincinv (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
|
3489 { |
14817
67897baaa05f
Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents:
14816
diff
changeset
|
3490 dim_vector dv = b.dims (); |
67897baaa05f
Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents:
14816
diff
changeset
|
3491 octave_idx_type nel = dv.numel (); |
67897baaa05f
Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents:
14816
diff
changeset
|
3492 |
67897baaa05f
Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents:
14816
diff
changeset
|
3493 Array<double> retval (dv); |
67897baaa05f
Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents:
14816
diff
changeset
|
3494 |
67897baaa05f
Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents:
14816
diff
changeset
|
3495 double *pretval = retval.fortran_vec (); |
67897baaa05f
Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents:
14816
diff
changeset
|
3496 |
67897baaa05f
Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents:
14816
diff
changeset
|
3497 for (octave_idx_type i = 0; i < nel; i++) |
67897baaa05f
Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents:
14816
diff
changeset
|
3498 *pretval++ = betaincinv (x, a, b(i)); |
14816
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3499 |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3500 return retval; |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3501 } |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3502 |
14817
67897baaa05f
Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents:
14816
diff
changeset
|
3503 Array<double> |
67897baaa05f
Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents:
14816
diff
changeset
|
3504 betaincinv (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
|
3505 { |
14817
67897baaa05f
Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents:
14816
diff
changeset
|
3506 dim_vector dv = a.dims (); |
67897baaa05f
Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents:
14816
diff
changeset
|
3507 octave_idx_type nel = dv.numel (); |
67897baaa05f
Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents:
14816
diff
changeset
|
3508 |
67897baaa05f
Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents:
14816
diff
changeset
|
3509 Array<double> retval (dv); |
67897baaa05f
Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents:
14816
diff
changeset
|
3510 |
67897baaa05f
Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents:
14816
diff
changeset
|
3511 double *pretval = retval.fortran_vec (); |
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 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
|
3514 *pretval++ = betaincinv (x, a(i), b); |
14816
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3515 |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3516 return retval; |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3517 } |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3518 |
14817
67897baaa05f
Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents:
14816
diff
changeset
|
3519 Array<double> |
67897baaa05f
Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents:
14816
diff
changeset
|
3520 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
|
3521 { |
14817
67897baaa05f
Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents:
14816
diff
changeset
|
3522 Array<double> retval; |
67897baaa05f
Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents:
14816
diff
changeset
|
3523 dim_vector dv = a.dims (); |
67897baaa05f
Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents:
14816
diff
changeset
|
3524 |
67897baaa05f
Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents:
14816
diff
changeset
|
3525 if (dv == b.dims ()) |
14816
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3526 { |
14817
67897baaa05f
Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents:
14816
diff
changeset
|
3527 octave_idx_type nel = dv.numel (); |
67897baaa05f
Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents:
14816
diff
changeset
|
3528 |
67897baaa05f
Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents:
14816
diff
changeset
|
3529 retval.resize (dv); |
67897baaa05f
Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents:
14816
diff
changeset
|
3530 |
67897baaa05f
Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents:
14816
diff
changeset
|
3531 double *pretval = retval.fortran_vec (); |
67897baaa05f
Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents:
14816
diff
changeset
|
3532 |
67897baaa05f
Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents:
14816
diff
changeset
|
3533 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
|
3534 *pretval++ = betaincinv (x, a(i), b(i)); |
14816
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3535 } |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3536 else |
14817
67897baaa05f
Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents:
14816
diff
changeset
|
3537 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
|
3538 |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3539 return retval; |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3540 } |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3541 |
14817
67897baaa05f
Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents:
14816
diff
changeset
|
3542 Array<double> |
67897baaa05f
Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents:
14816
diff
changeset
|
3543 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
|
3544 { |
14817
67897baaa05f
Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents:
14816
diff
changeset
|
3545 dim_vector dv = x.dims (); |
67897baaa05f
Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents:
14816
diff
changeset
|
3546 octave_idx_type nel = dv.numel (); |
67897baaa05f
Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents:
14816
diff
changeset
|
3547 |
67897baaa05f
Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents:
14816
diff
changeset
|
3548 Array<double> retval (dv); |
67897baaa05f
Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents:
14816
diff
changeset
|
3549 |
67897baaa05f
Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents:
14816
diff
changeset
|
3550 double *pretval = retval.fortran_vec (); |
67897baaa05f
Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents:
14816
diff
changeset
|
3551 |
67897baaa05f
Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents:
14816
diff
changeset
|
3552 for (octave_idx_type i = 0; i < nel; i++) |
67897baaa05f
Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents:
14816
diff
changeset
|
3553 *pretval++ = betaincinv (x(i), a, b); |
14816
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3554 |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3555 return retval; |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3556 } |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3557 |
14817
67897baaa05f
Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents:
14816
diff
changeset
|
3558 Array<double> |
67897baaa05f
Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents:
14816
diff
changeset
|
3559 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
|
3560 { |
14817
67897baaa05f
Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents:
14816
diff
changeset
|
3561 Array<double> retval; |
67897baaa05f
Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents:
14816
diff
changeset
|
3562 dim_vector dv = x.dims (); |
67897baaa05f
Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents:
14816
diff
changeset
|
3563 |
67897baaa05f
Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents:
14816
diff
changeset
|
3564 if (dv == b.dims ()) |
14816
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3565 { |
14817
67897baaa05f
Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents:
14816
diff
changeset
|
3566 octave_idx_type nel = dv.numel (); |
67897baaa05f
Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents:
14816
diff
changeset
|
3567 |
67897baaa05f
Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents:
14816
diff
changeset
|
3568 retval.resize (dv); |
67897baaa05f
Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents:
14816
diff
changeset
|
3569 |
67897baaa05f
Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents:
14816
diff
changeset
|
3570 double *pretval = retval.fortran_vec (); |
67897baaa05f
Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents:
14816
diff
changeset
|
3571 |
67897baaa05f
Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents:
14816
diff
changeset
|
3572 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
|
3573 *pretval++ = betaincinv (x(i), a, b(i)); |
14816
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3574 } |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3575 else |
14817
67897baaa05f
Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents:
14816
diff
changeset
|
3576 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
|
3577 |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3578 return retval; |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3579 } |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3580 |
14817
67897baaa05f
Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents:
14816
diff
changeset
|
3581 Array<double> |
67897baaa05f
Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents:
14816
diff
changeset
|
3582 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
|
3583 { |
14817
67897baaa05f
Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents:
14816
diff
changeset
|
3584 Array<double> retval; |
67897baaa05f
Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents:
14816
diff
changeset
|
3585 dim_vector dv = x.dims (); |
67897baaa05f
Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents:
14816
diff
changeset
|
3586 |
67897baaa05f
Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents:
14816
diff
changeset
|
3587 if (dv == a.dims ()) |
14816
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3588 { |
14817
67897baaa05f
Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents:
14816
diff
changeset
|
3589 octave_idx_type nel = dv.numel (); |
67897baaa05f
Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents:
14816
diff
changeset
|
3590 |
67897baaa05f
Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents:
14816
diff
changeset
|
3591 retval.resize (dv); |
67897baaa05f
Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents:
14816
diff
changeset
|
3592 |
67897baaa05f
Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents:
14816
diff
changeset
|
3593 double *pretval = retval.fortran_vec (); |
67897baaa05f
Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents:
14816
diff
changeset
|
3594 |
67897baaa05f
Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents:
14816
diff
changeset
|
3595 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
|
3596 *pretval++ = betaincinv (x(i), a(i), b); |
14816
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3597 } |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3598 else |
14817
67897baaa05f
Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents:
14816
diff
changeset
|
3599 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
|
3600 |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3601 return retval; |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3602 } |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3603 |
14817
67897baaa05f
Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents:
14816
diff
changeset
|
3604 Array<double> |
17769
49a5a4be04a1
maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
3605 betaincinv (const Array<double>& x, const Array<double>& a, |
49a5a4be04a1
maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
3606 const Array<double>& b) |
14816
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3607 { |
14817
67897baaa05f
Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents:
14816
diff
changeset
|
3608 Array<double> retval; |
67897baaa05f
Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents:
14816
diff
changeset
|
3609 dim_vector dv = x.dims (); |
67897baaa05f
Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents:
14816
diff
changeset
|
3610 |
67897baaa05f
Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents:
14816
diff
changeset
|
3611 if (dv == a.dims () && dv == b.dims ()) |
14816
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3612 { |
14817
67897baaa05f
Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents:
14816
diff
changeset
|
3613 octave_idx_type nel = dv.numel (); |
67897baaa05f
Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents:
14816
diff
changeset
|
3614 |
67897baaa05f
Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents:
14816
diff
changeset
|
3615 retval.resize (dv); |
67897baaa05f
Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents:
14816
diff
changeset
|
3616 |
67897baaa05f
Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents:
14816
diff
changeset
|
3617 double *pretval = retval.fortran_vec (); |
67897baaa05f
Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents:
14816
diff
changeset
|
3618 |
67897baaa05f
Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents:
14816
diff
changeset
|
3619 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
|
3620 *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
|
3621 } |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3622 else |
14817
67897baaa05f
Adapt implementation of betaincinv to Octave.
Rik <octave@nomad.inbox5.com>
parents:
14816
diff
changeset
|
3623 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
|
3624 |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3625 return retval; |
0a868d90436b
New function: betaincinv (bug #34364)
Axel Mathéi <axel.mathei@gmail.com>
parents:
14815
diff
changeset
|
3626 } |
17502
578805a293e5
ellipj: Move numerical code into liboctave
Mike Miller <mtmiller@ieee.org>
parents:
15852
diff
changeset
|
3627 |
578805a293e5
ellipj: Move numerical code into liboctave
Mike Miller <mtmiller@ieee.org>
parents:
15852
diff
changeset
|
3628 void |
578805a293e5
ellipj: Move numerical code into liboctave
Mike Miller <mtmiller@ieee.org>
parents:
15852
diff
changeset
|
3629 ellipj (double u, double m, double& sn, double& cn, double& dn, double& err) |
578805a293e5
ellipj: Move numerical code into liboctave
Mike Miller <mtmiller@ieee.org>
parents:
15852
diff
changeset
|
3630 { |
578805a293e5
ellipj: Move numerical code into liboctave
Mike Miller <mtmiller@ieee.org>
parents:
15852
diff
changeset
|
3631 static const int Nmax = 16; |
578805a293e5
ellipj: Move numerical code into liboctave
Mike Miller <mtmiller@ieee.org>
parents:
15852
diff
changeset
|
3632 double m1, t=0, si_u, co_u, se_u, ta_u, b, c[Nmax], a[Nmax], phi; |
578805a293e5
ellipj: Move numerical code into liboctave
Mike Miller <mtmiller@ieee.org>
parents:
15852
diff
changeset
|
3633 int n, Nn, ii; |
578805a293e5
ellipj: Move numerical code into liboctave
Mike Miller <mtmiller@ieee.org>
parents:
15852
diff
changeset
|
3634 |
578805a293e5
ellipj: Move numerical code into liboctave
Mike Miller <mtmiller@ieee.org>
parents:
15852
diff
changeset
|
3635 if (m < 0 || m > 1) |
578805a293e5
ellipj: Move numerical code into liboctave
Mike Miller <mtmiller@ieee.org>
parents:
15852
diff
changeset
|
3636 { |
578805a293e5
ellipj: Move numerical code into liboctave
Mike Miller <mtmiller@ieee.org>
parents:
15852
diff
changeset
|
3637 (*current_liboctave_warning_handler) |
578805a293e5
ellipj: Move numerical code into liboctave
Mike Miller <mtmiller@ieee.org>
parents:
15852
diff
changeset
|
3638 ("ellipj: expecting 0 <= M <= 1"); |
578805a293e5
ellipj: Move numerical code into liboctave
Mike Miller <mtmiller@ieee.org>
parents:
15852
diff
changeset
|
3639 sn = cn = dn = lo_ieee_nan_value (); |
578805a293e5
ellipj: Move numerical code into liboctave
Mike Miller <mtmiller@ieee.org>
parents:
15852
diff
changeset
|
3640 return; |
578805a293e5
ellipj: Move numerical code into liboctave
Mike Miller <mtmiller@ieee.org>
parents:
15852
diff
changeset
|
3641 } |
578805a293e5
ellipj: Move numerical code into liboctave
Mike Miller <mtmiller@ieee.org>
parents:
15852
diff
changeset
|
3642 |
578805a293e5
ellipj: Move numerical code into liboctave
Mike Miller <mtmiller@ieee.org>
parents:
15852
diff
changeset
|
3643 double sqrt_eps = sqrt (std::numeric_limits<double>::epsilon ()); |
578805a293e5
ellipj: Move numerical code into liboctave
Mike Miller <mtmiller@ieee.org>
parents:
15852
diff
changeset
|
3644 if (m < sqrt_eps) |
578805a293e5
ellipj: Move numerical code into liboctave
Mike Miller <mtmiller@ieee.org>
parents:
15852
diff
changeset
|
3645 { |
578805a293e5
ellipj: Move numerical code into liboctave
Mike Miller <mtmiller@ieee.org>
parents:
15852
diff
changeset
|
3646 // For small m, ( Abramowitz and Stegun, Section 16.13 ) |
578805a293e5
ellipj: Move numerical code into liboctave
Mike Miller <mtmiller@ieee.org>
parents:
15852
diff
changeset
|
3647 si_u = sin (u); |
578805a293e5
ellipj: Move numerical code into liboctave
Mike Miller <mtmiller@ieee.org>
parents:
15852
diff
changeset
|
3648 co_u = cos (u); |
578805a293e5
ellipj: Move numerical code into liboctave
Mike Miller <mtmiller@ieee.org>
parents:
15852
diff
changeset
|
3649 t = 0.25*m*(u - si_u*co_u); |
578805a293e5
ellipj: Move numerical code into liboctave
Mike Miller <mtmiller@ieee.org>
parents:
15852
diff
changeset
|
3650 sn = si_u - t * co_u; |
578805a293e5
ellipj: Move numerical code into liboctave
Mike Miller <mtmiller@ieee.org>
parents:
15852
diff
changeset
|
3651 cn = co_u + t * si_u; |
578805a293e5
ellipj: Move numerical code into liboctave
Mike Miller <mtmiller@ieee.org>
parents:
15852
diff
changeset
|
3652 dn = 1 - 0.5*m*si_u*si_u; |
578805a293e5
ellipj: Move numerical code into liboctave
Mike Miller <mtmiller@ieee.org>
parents:
15852
diff
changeset
|
3653 } |
578805a293e5
ellipj: Move numerical code into liboctave
Mike Miller <mtmiller@ieee.org>
parents:
15852
diff
changeset
|
3654 else if ((1 - m) < sqrt_eps) |
578805a293e5
ellipj: Move numerical code into liboctave
Mike Miller <mtmiller@ieee.org>
parents:
15852
diff
changeset
|
3655 { |
578805a293e5
ellipj: Move numerical code into liboctave
Mike Miller <mtmiller@ieee.org>
parents:
15852
diff
changeset
|
3656 // For m1 = (1-m) small ( Abramowitz and Stegun, Section 16.15 ) |
578805a293e5
ellipj: Move numerical code into liboctave
Mike Miller <mtmiller@ieee.org>
parents:
15852
diff
changeset
|
3657 m1 = 1 - m; |
578805a293e5
ellipj: Move numerical code into liboctave
Mike Miller <mtmiller@ieee.org>
parents:
15852
diff
changeset
|
3658 si_u = sinh (u); |
578805a293e5
ellipj: Move numerical code into liboctave
Mike Miller <mtmiller@ieee.org>
parents:
15852
diff
changeset
|
3659 co_u = cosh (u); |
578805a293e5
ellipj: Move numerical code into liboctave
Mike Miller <mtmiller@ieee.org>
parents:
15852
diff
changeset
|
3660 ta_u = tanh (u); |
578805a293e5
ellipj: Move numerical code into liboctave
Mike Miller <mtmiller@ieee.org>
parents:
15852
diff
changeset
|
3661 se_u = 1/co_u; |
578805a293e5
ellipj: Move numerical code into liboctave
Mike Miller <mtmiller@ieee.org>
parents:
15852
diff
changeset
|
3662 sn = ta_u + 0.25*m1*(si_u*co_u - u)*se_u*se_u; |
578805a293e5
ellipj: Move numerical code into liboctave
Mike Miller <mtmiller@ieee.org>
parents:
15852
diff
changeset
|
3663 cn = se_u - 0.25*m1*(si_u*co_u - u)*ta_u*se_u; |
578805a293e5
ellipj: Move numerical code into liboctave
Mike Miller <mtmiller@ieee.org>
parents:
15852
diff
changeset
|
3664 dn = se_u + 0.25*m1*(si_u*co_u + u)*ta_u*se_u; |
578805a293e5
ellipj: Move numerical code into liboctave
Mike Miller <mtmiller@ieee.org>
parents:
15852
diff
changeset
|
3665 } |
578805a293e5
ellipj: Move numerical code into liboctave
Mike Miller <mtmiller@ieee.org>
parents:
15852
diff
changeset
|
3666 else |
578805a293e5
ellipj: Move numerical code into liboctave
Mike Miller <mtmiller@ieee.org>
parents:
15852
diff
changeset
|
3667 { |
578805a293e5
ellipj: Move numerical code into liboctave
Mike Miller <mtmiller@ieee.org>
parents:
15852
diff
changeset
|
3668 // Arithmetic-Geometric Mean (AGM) algorithm |
578805a293e5
ellipj: Move numerical code into liboctave
Mike Miller <mtmiller@ieee.org>
parents:
15852
diff
changeset
|
3669 // ( Abramowitz and Stegun, Section 16.4 ) |
578805a293e5
ellipj: Move numerical code into liboctave
Mike Miller <mtmiller@ieee.org>
parents:
15852
diff
changeset
|
3670 a[0] = 1; |
578805a293e5
ellipj: Move numerical code into liboctave
Mike Miller <mtmiller@ieee.org>
parents:
15852
diff
changeset
|
3671 b = sqrt (1 - m); |
578805a293e5
ellipj: Move numerical code into liboctave
Mike Miller <mtmiller@ieee.org>
parents:
15852
diff
changeset
|
3672 c[0] = sqrt (m); |
578805a293e5
ellipj: Move numerical code into liboctave
Mike Miller <mtmiller@ieee.org>
parents:
15852
diff
changeset
|
3673 for (n = 1; n < Nmax; ++n) |
578805a293e5
ellipj: Move numerical code into liboctave
Mike Miller <mtmiller@ieee.org>
parents:
15852
diff
changeset
|
3674 { |
578805a293e5
ellipj: Move numerical code into liboctave
Mike Miller <mtmiller@ieee.org>
parents:
15852
diff
changeset
|
3675 a[n] = (a[n - 1] + b)/2; |
578805a293e5
ellipj: Move numerical code into liboctave
Mike Miller <mtmiller@ieee.org>
parents:
15852
diff
changeset
|
3676 c[n] = (a[n - 1] - b)/2; |
578805a293e5
ellipj: Move numerical code into liboctave
Mike Miller <mtmiller@ieee.org>
parents:
15852
diff
changeset
|
3677 b = sqrt (a[n - 1]*b); |
578805a293e5
ellipj: Move numerical code into liboctave
Mike Miller <mtmiller@ieee.org>
parents:
15852
diff
changeset
|
3678 if (c[n]/a[n] < std::numeric_limits<double>::epsilon ()) break; |
578805a293e5
ellipj: Move numerical code into liboctave
Mike Miller <mtmiller@ieee.org>
parents:
15852
diff
changeset
|
3679 } |
578805a293e5
ellipj: Move numerical code into liboctave
Mike Miller <mtmiller@ieee.org>
parents:
15852
diff
changeset
|
3680 if (n >= Nmax - 1) |
578805a293e5
ellipj: Move numerical code into liboctave
Mike Miller <mtmiller@ieee.org>
parents:
15852
diff
changeset
|
3681 { |
578805a293e5
ellipj: Move numerical code into liboctave
Mike Miller <mtmiller@ieee.org>
parents:
15852
diff
changeset
|
3682 err = 1; |
578805a293e5
ellipj: Move numerical code into liboctave
Mike Miller <mtmiller@ieee.org>
parents:
15852
diff
changeset
|
3683 return; |
578805a293e5
ellipj: Move numerical code into liboctave
Mike Miller <mtmiller@ieee.org>
parents:
15852
diff
changeset
|
3684 } |
578805a293e5
ellipj: Move numerical code into liboctave
Mike Miller <mtmiller@ieee.org>
parents:
15852
diff
changeset
|
3685 Nn = n; |
578805a293e5
ellipj: Move numerical code into liboctave
Mike Miller <mtmiller@ieee.org>
parents:
15852
diff
changeset
|
3686 for (ii = 1; n > 0; ii = ii*2, --n) ; // ii = pow(2,Nn) |
578805a293e5
ellipj: Move numerical code into liboctave
Mike Miller <mtmiller@ieee.org>
parents:
15852
diff
changeset
|
3687 phi = ii*a[Nn]*u; |
578805a293e5
ellipj: Move numerical code into liboctave
Mike Miller <mtmiller@ieee.org>
parents:
15852
diff
changeset
|
3688 for (n = Nn; n > 0; --n) |
578805a293e5
ellipj: Move numerical code into liboctave
Mike Miller <mtmiller@ieee.org>
parents:
15852
diff
changeset
|
3689 { |
578805a293e5
ellipj: Move numerical code into liboctave
Mike Miller <mtmiller@ieee.org>
parents:
15852
diff
changeset
|
3690 t = phi; |
578805a293e5
ellipj: Move numerical code into liboctave
Mike Miller <mtmiller@ieee.org>
parents:
15852
diff
changeset
|
3691 phi = (asin ((c[n]/a[n])* sin (phi)) + phi)/2; |
578805a293e5
ellipj: Move numerical code into liboctave
Mike Miller <mtmiller@ieee.org>
parents:
15852
diff
changeset
|
3692 } |
578805a293e5
ellipj: Move numerical code into liboctave
Mike Miller <mtmiller@ieee.org>
parents:
15852
diff
changeset
|
3693 sn = sin (phi); |
578805a293e5
ellipj: Move numerical code into liboctave
Mike Miller <mtmiller@ieee.org>
parents:
15852
diff
changeset
|
3694 cn = cos (phi); |
578805a293e5
ellipj: Move numerical code into liboctave
Mike Miller <mtmiller@ieee.org>
parents:
15852
diff
changeset
|
3695 dn = cn/cos (t - phi); |
578805a293e5
ellipj: Move numerical code into liboctave
Mike Miller <mtmiller@ieee.org>
parents:
15852
diff
changeset
|
3696 } |
578805a293e5
ellipj: Move numerical code into liboctave
Mike Miller <mtmiller@ieee.org>
parents:
15852
diff
changeset
|
3697 } |
578805a293e5
ellipj: Move numerical code into liboctave
Mike Miller <mtmiller@ieee.org>
parents:
15852
diff
changeset
|
3698 |
578805a293e5
ellipj: Move numerical code into liboctave
Mike Miller <mtmiller@ieee.org>
parents:
15852
diff
changeset
|
3699 void |
17769
49a5a4be04a1
maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
3700 ellipj (const Complex& u, double m, Complex& sn, Complex& cn, Complex& dn, |
49a5a4be04a1
maint: Use GNU style coding conventions for code in liboctave/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
3701 double& err) |
17502
578805a293e5
ellipj: Move numerical code into liboctave
Mike Miller <mtmiller@ieee.org>
parents:
15852
diff
changeset
|
3702 { |
578805a293e5
ellipj: Move numerical code into liboctave
Mike Miller <mtmiller@ieee.org>
parents:
15852
diff
changeset
|
3703 double m1 = 1 - m, ss1, cc1, dd1; |
578805a293e5
ellipj: Move numerical code into liboctave
Mike Miller <mtmiller@ieee.org>
parents:
15852
diff
changeset
|
3704 |
578805a293e5
ellipj: Move numerical code into liboctave
Mike Miller <mtmiller@ieee.org>
parents:
15852
diff
changeset
|
3705 ellipj (imag (u), m1, ss1, cc1, dd1, err); |
578805a293e5
ellipj: Move numerical code into liboctave
Mike Miller <mtmiller@ieee.org>
parents:
15852
diff
changeset
|
3706 if (real (u) == 0) |
578805a293e5
ellipj: Move numerical code into liboctave
Mike Miller <mtmiller@ieee.org>
parents:
15852
diff
changeset
|
3707 { |
578805a293e5
ellipj: Move numerical code into liboctave
Mike Miller <mtmiller@ieee.org>
parents:
15852
diff
changeset
|
3708 // u is pure imag: Jacoby imag. transf. |
578805a293e5
ellipj: Move numerical code into liboctave
Mike Miller <mtmiller@ieee.org>
parents:
15852
diff
changeset
|
3709 sn = Complex (0, ss1/cc1); |
578805a293e5
ellipj: Move numerical code into liboctave
Mike Miller <mtmiller@ieee.org>
parents:
15852
diff
changeset
|
3710 cn = 1/cc1; // cn.imag = 0; |
578805a293e5
ellipj: Move numerical code into liboctave
Mike Miller <mtmiller@ieee.org>
parents:
15852
diff
changeset
|
3711 dn = dd1/cc1; // dn.imag = 0; |
578805a293e5
ellipj: Move numerical code into liboctave
Mike Miller <mtmiller@ieee.org>
parents:
15852
diff
changeset
|
3712 } |
578805a293e5
ellipj: Move numerical code into liboctave
Mike Miller <mtmiller@ieee.org>
parents:
15852
diff
changeset
|
3713 else |
578805a293e5
ellipj: Move numerical code into liboctave
Mike Miller <mtmiller@ieee.org>
parents:
15852
diff
changeset
|
3714 { |
578805a293e5
ellipj: Move numerical code into liboctave
Mike Miller <mtmiller@ieee.org>
parents:
15852
diff
changeset
|
3715 // u is generic complex |
578805a293e5
ellipj: Move numerical code into liboctave
Mike Miller <mtmiller@ieee.org>
parents:
15852
diff
changeset
|
3716 double ss, cc, dd, ddd; |
578805a293e5
ellipj: Move numerical code into liboctave
Mike Miller <mtmiller@ieee.org>
parents:
15852
diff
changeset
|
3717 |
578805a293e5
ellipj: Move numerical code into liboctave
Mike Miller <mtmiller@ieee.org>
parents:
15852
diff
changeset
|
3718 ellipj (real (u), m, ss, cc, dd, err); |
578805a293e5
ellipj: Move numerical code into liboctave
Mike Miller <mtmiller@ieee.org>
parents:
15852
diff
changeset
|
3719 ddd = cc1*cc1 + m*ss*ss*ss1*ss1; |
578805a293e5
ellipj: Move numerical code into liboctave
Mike Miller <mtmiller@ieee.org>
parents:
15852
diff
changeset
|
3720 sn = Complex (ss*dd1/ddd, cc*dd*ss1*cc1/ddd); |
578805a293e5
ellipj: Move numerical code into liboctave
Mike Miller <mtmiller@ieee.org>
parents:
15852
diff
changeset
|
3721 cn = Complex (cc*cc1/ddd, -ss*dd*ss1*dd1/ddd); |
578805a293e5
ellipj: Move numerical code into liboctave
Mike Miller <mtmiller@ieee.org>
parents:
15852
diff
changeset
|
3722 dn = Complex (dd*cc1*dd1/ddd, -m*ss*cc*ss1/ddd); |
578805a293e5
ellipj: Move numerical code into liboctave
Mike Miller <mtmiller@ieee.org>
parents:
15852
diff
changeset
|
3723 } |
578805a293e5
ellipj: Move numerical code into liboctave
Mike Miller <mtmiller@ieee.org>
parents:
15852
diff
changeset
|
3724 } |