Mercurial > hg > octave-lyh
annotate liboctave/lo-specfun.cc @ 8278:ab0674a8b345
fix scaling factor for negative alpha in zbesi,cbesi
add bessel function tests
add all scaling factors to bessel documentation
author | Brian Gough <bjg@gnu.org> |
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date | Tue, 28 Oct 2008 10:47:26 -0400 |
parents | e998e81224b5 |
children | b3734f1cb592 |
rev | line source |
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3146 | 1 /* |
2 | |
7017 | 3 Copyright (C) 1996, 1998, 2002, 2003, 2004, 2005, 2006, 2007 |
4 John W. Eaton | |
3146 | 5 |
6 This file is part of Octave. | |
7 | |
8 Octave is free software; you can redistribute it and/or modify it | |
9 under the terms of the GNU General Public License as published by the | |
7016 | 10 Free Software Foundation; either version 3 of the License, or (at your |
11 option) any later version. | |
3146 | 12 |
13 Octave is distributed in the hope that it will be useful, but WITHOUT | |
14 ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or | |
15 FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License | |
16 for more details. | |
17 | |
18 You should have received a copy of the GNU General Public License | |
7016 | 19 along with Octave; see the file COPYING. If not, see |
20 <http://www.gnu.org/licenses/>. | |
3146 | 21 |
22 */ | |
23 | |
24 #ifdef HAVE_CONFIG_H | |
25 #include <config.h> | |
26 #endif | |
27 | |
28 #include "Range.h" | |
3220 | 29 #include "CColVector.h" |
30 #include "CMatrix.h" | |
31 #include "dRowVector.h" | |
3146 | 32 #include "dMatrix.h" |
4844 | 33 #include "dNDArray.h" |
34 #include "CNDArray.h" | |
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35 #include "fCColVector.h" |
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36 #include "fCMatrix.h" |
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37 #include "fRowVector.h" |
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38 #include "fMatrix.h" |
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39 #include "fNDArray.h" |
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40 #include "fCNDArray.h" |
3146 | 41 #include "f77-fcn.h" |
42 #include "lo-error.h" | |
3220 | 43 #include "lo-ieee.h" |
44 #include "lo-specfun.h" | |
3146 | 45 #include "mx-inlines.cc" |
5701 | 46 #include "lo-mappers.h" |
3146 | 47 |
4064 | 48 #ifndef M_PI |
49 #define M_PI 3.14159265358979323846 | |
50 #endif | |
51 | |
3146 | 52 extern "C" |
53 { | |
4552 | 54 F77_RET_T |
55 F77_FUNC (zbesj, ZBESJ) (const double&, const double&, const double&, | |
5275 | 56 const octave_idx_type&, const octave_idx_type&, double*, double*, |
57 octave_idx_type&, octave_idx_type&); | |
3146 | 58 |
4552 | 59 F77_RET_T |
60 F77_FUNC (zbesy, ZBESY) (const double&, const double&, const double&, | |
5275 | 61 const octave_idx_type&, const octave_idx_type&, double*, double*, |
62 octave_idx_type&, double*, double*, octave_idx_type&); | |
3220 | 63 |
4552 | 64 F77_RET_T |
65 F77_FUNC (zbesi, ZBESI) (const double&, const double&, const double&, | |
5275 | 66 const octave_idx_type&, const octave_idx_type&, double*, double*, |
67 octave_idx_type&, octave_idx_type&); | |
3146 | 68 |
4552 | 69 F77_RET_T |
70 F77_FUNC (zbesk, ZBESK) (const double&, const double&, const double&, | |
5275 | 71 const octave_idx_type&, const octave_idx_type&, double*, double*, |
72 octave_idx_type&, octave_idx_type&); | |
3220 | 73 |
4552 | 74 F77_RET_T |
75 F77_FUNC (zbesh, ZBESH) (const double&, const double&, const double&, | |
5275 | 76 const octave_idx_type&, const octave_idx_type&, const octave_idx_type&, double*, |
77 double*, octave_idx_type&, octave_idx_type&); | |
4552 | 78 |
79 F77_RET_T | |
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80 F77_FUNC (cbesj, cBESJ) (const float&, const float&, const float&, |
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81 const octave_idx_type&, const octave_idx_type&, float*, float*, |
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82 octave_idx_type&, octave_idx_type&); |
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83 |
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84 F77_RET_T |
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85 F77_FUNC (cbesy, CBESY) (const float&, const float&, const float&, |
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86 const octave_idx_type&, const octave_idx_type&, float*, float*, |
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87 octave_idx_type&, float*, float*, octave_idx_type&); |
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88 |
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89 F77_RET_T |
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90 F77_FUNC (cbesi, CBESI) (const float&, const float&, const float&, |
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91 const octave_idx_type&, const octave_idx_type&, float*, float*, |
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92 octave_idx_type&, octave_idx_type&); |
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93 |
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94 F77_RET_T |
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95 F77_FUNC (cbesk, CBESK) (const float&, const float&, const float&, |
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96 const octave_idx_type&, const octave_idx_type&, float*, float*, |
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97 octave_idx_type&, octave_idx_type&); |
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98 |
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99 F77_RET_T |
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100 F77_FUNC (cbesh, CBESH) (const float&, const float&, const float&, |
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101 const octave_idx_type&, const octave_idx_type&, const octave_idx_type&, float*, |
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102 float*, octave_idx_type&, octave_idx_type&); |
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103 |
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104 F77_RET_T |
5275 | 105 F77_FUNC (zairy, ZAIRY) (const double&, const double&, const octave_idx_type&, |
106 const octave_idx_type&, double&, double&, octave_idx_type&, octave_idx_type&); | |
3146 | 107 |
4552 | 108 F77_RET_T |
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109 F77_FUNC (cairy, CAIRY) (const float&, const float&, const octave_idx_type&, |
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110 const octave_idx_type&, float&, float&, octave_idx_type&, octave_idx_type&); |
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111 |
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112 F77_RET_T |
5275 | 113 F77_FUNC (zbiry, ZBIRY) (const double&, const double&, const octave_idx_type&, |
114 const octave_idx_type&, double&, double&, octave_idx_type&); | |
4552 | 115 |
116 F77_RET_T | |
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117 F77_FUNC (cbiry, CBIRY) (const float&, const float&, const octave_idx_type&, |
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118 const octave_idx_type&, float&, float&, octave_idx_type&); |
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119 |
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120 F77_RET_T |
4552 | 121 F77_FUNC (xdacosh, XDACOSH) (const double&, double&); |
3220 | 122 |
4552 | 123 F77_RET_T |
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124 F77_FUNC (xacosh, XACOSH) (const float&, float&); |
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125 |
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126 F77_RET_T |
4552 | 127 F77_FUNC (xdasinh, XDASINH) (const double&, double&); |
3146 | 128 |
4552 | 129 F77_RET_T |
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130 F77_FUNC (xasinh, XASINH) (const float&, float&); |
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131 |
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132 F77_RET_T |
4552 | 133 F77_FUNC (xdatanh, XDATANH) (const double&, double&); |
3146 | 134 |
4552 | 135 F77_RET_T |
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136 F77_FUNC (xatanh, XATANH) (const float&, float&); |
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137 |
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138 F77_RET_T |
4552 | 139 F77_FUNC (xderf, XDERF) (const double&, double&); |
3146 | 140 |
4552 | 141 F77_RET_T |
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142 F77_FUNC (xerf, XERF) (const float&, float&); |
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143 |
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144 F77_RET_T |
4552 | 145 F77_FUNC (xderfc, XDERFC) (const double&, double&); |
3146 | 146 |
4552 | 147 F77_RET_T |
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148 F77_FUNC (xerfc, XERFC) (const float&, float&); |
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149 |
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150 F77_RET_T |
4552 | 151 F77_FUNC (xdbetai, XDBETAI) (const double&, const double&, |
152 const double&, double&); | |
3146 | 153 |
4552 | 154 F77_RET_T |
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155 F77_FUNC (xbetai, XBETAI) (const float&, const float&, |
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156 const float&, float&); |
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157 |
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158 F77_RET_T |
4552 | 159 F77_FUNC (xdgamma, XDGAMMA) (const double&, double&); |
3146 | 160 |
4552 | 161 F77_RET_T |
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162 F77_FUNC (xgamma, XGAMMA) (const float&, float&); |
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163 |
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164 F77_RET_T |
4552 | 165 F77_FUNC (xgammainc, XGAMMAINC) (const double&, const double&, double&); |
3146 | 166 |
4552 | 167 F77_RET_T |
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168 F77_FUNC (xsgammainc, XSGAMMAINC) (const float&, const float&, float&); |
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169 |
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170 F77_RET_T |
4552 | 171 F77_FUNC (dlgams, DLGAMS) (const double&, double&, double&); |
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172 |
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173 F77_RET_T |
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174 F77_FUNC (algams, ALGAMS) (const float&, float&, float&); |
3146 | 175 } |
176 | |
177 #if !defined (HAVE_ACOSH) | |
178 double | |
179 acosh (double x) | |
180 { | |
181 double retval; | |
5278 | 182 F77_XFCN (xdacosh, XDACOSH, (x, retval)); |
3146 | 183 return retval; |
184 } | |
185 #endif | |
186 | |
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187 #if !defined (HAVE_ACOSHF) |
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188 float |
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189 acoshf (float x) |
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190 { |
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191 float retval; |
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192 F77_XFCN (xacosh, XACOSH, (x, retval)); |
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193 return retval; |
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194 } |
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195 #endif |
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196 |
3146 | 197 #if !defined (HAVE_ASINH) |
198 double | |
199 asinh (double x) | |
200 { | |
201 double retval; | |
5278 | 202 F77_XFCN (xdasinh, XDASINH, (x, retval)); |
3146 | 203 return retval; |
204 } | |
205 #endif | |
206 | |
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207 #if !defined (HAVE_ASINHF) |
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208 float |
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209 asinhf (float x) |
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210 { |
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211 float retval; |
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212 F77_XFCN (xasinh, XASINH, (x, retval)); |
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213 return retval; |
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214 } |
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215 #endif |
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216 |
3146 | 217 #if !defined (HAVE_ATANH) |
218 double | |
219 atanh (double x) | |
220 { | |
221 double retval; | |
5278 | 222 F77_XFCN (xdatanh, XDATANH, (x, retval)); |
3146 | 223 return retval; |
224 } | |
225 #endif | |
226 | |
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227 #if !defined (HAVE_ATANHF) |
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228 float |
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229 atanhf (float x) |
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230 { |
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231 float retval; |
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232 F77_XFCN (xatanh, XATANH, (x, retval)); |
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233 return retval; |
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234 } |
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235 #endif |
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236 |
3146 | 237 #if !defined (HAVE_ERF) |
238 double | |
239 erf (double x) | |
240 { | |
241 double retval; | |
5278 | 242 F77_XFCN (xderf, XDERF, (x, retval)); |
3146 | 243 return retval; |
244 } | |
245 #endif | |
246 | |
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247 #if !defined (HAVE_ERFF) |
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248 float |
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249 erff (float x) |
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250 { |
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251 float retval; |
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252 F77_XFCN (xerf, XERF, (x, retval)); |
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253 return retval; |
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254 } |
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255 #endif |
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256 |
3146 | 257 #if !defined (HAVE_ERFC) |
258 double | |
259 erfc (double x) | |
260 { | |
261 double retval; | |
5278 | 262 F77_XFCN (xderfc, XDERFC, (x, retval)); |
3146 | 263 return retval; |
264 } | |
265 #endif | |
266 | |
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267 #if !defined (HAVE_ERFCF) |
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268 float |
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269 erfcf (float x) |
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270 { |
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271 float retval; |
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272 F77_XFCN (xerfc, XERFC, (x, retval)); |
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273 return retval; |
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274 } |
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275 #endif |
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276 |
3146 | 277 double |
3156 | 278 xgamma (double x) |
3146 | 279 { |
6969 | 280 #if defined (HAVE_TGAMMA) |
281 return tgamma (x); | |
282 #else | |
3156 | 283 double result; |
5701 | 284 |
285 if (xisnan (x)) | |
286 result = x; | |
287 else if ((x <= 0 && D_NINT (x) == x) || xisinf (x)) | |
288 result = octave_Inf; | |
289 else | |
290 F77_XFCN (xdgamma, XDGAMMA, (x, result)); | |
6969 | 291 |
3156 | 292 return result; |
6969 | 293 #endif |
3146 | 294 } |
295 | |
296 double | |
3156 | 297 xlgamma (double x) |
3146 | 298 { |
6969 | 299 #if defined (HAVE_LGAMMA) |
300 return lgamma (x); | |
301 #else | |
3156 | 302 double result; |
3146 | 303 double sgngam; |
4497 | 304 |
5701 | 305 if (xisnan (x)) |
306 result = x; | |
6969 | 307 else if (xisinf (x)) |
5701 | 308 result = octave_Inf; |
5700 | 309 else |
310 F77_XFCN (dlgams, DLGAMS, (x, result, sgngam)); | |
4497 | 311 |
3156 | 312 return result; |
6969 | 313 #endif |
6961 | 314 } |
315 | |
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316 Complex |
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317 xlgamma (const Complex& xc) |
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318 { |
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319 // Can only be called with a real value of x. |
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320 double x = xc.real (); |
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321 double result; |
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322 |
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323 #if defined (HAVE_LGAMMA_R) |
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324 int sgngam; |
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325 result = lgamma_r (x, &sgngam); |
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326 #else |
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327 double sgngam; |
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328 |
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329 if (xisnan (x)) |
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330 result = x; |
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331 else if (xisinf (x)) |
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332 result = octave_Inf; |
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333 else |
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334 F77_XFCN (dlgams, DLGAMS, (x, result, sgngam)); |
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335 |
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336 #endif |
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337 |
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338 if (sgngam < 0) |
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339 return result + Complex (0., M_PI); |
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340 else |
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341 return result; |
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342 } |
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343 |
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344 float |
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345 xgamma (float x) |
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346 { |
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347 #if defined (HAVE_TGAMMAF) |
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348 return tgammaf (x); |
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349 #else |
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350 float result; |
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351 |
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352 if (xisnan (x)) |
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353 result = x; |
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354 else if ((x <= 0 && D_NINT (x) == x) || xisinf (x)) |
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355 result = octave_Float_Inf; |
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356 else |
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357 F77_XFCN (xgamma, XGAMMA, (x, result)); |
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358 |
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359 return result; |
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360 #endif |
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361 } |
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362 |
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363 float |
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364 xlgamma (float x) |
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365 { |
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366 #if defined (HAVE_LGAMMAF) |
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367 return lgammaf (x); |
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368 #else |
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369 float result; |
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370 float sgngam; |
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371 |
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372 if (xisnan (x)) |
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373 result = x; |
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374 else if (xisinf (x)) |
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375 result = octave_Float_Inf; |
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376 else |
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377 F77_XFCN (algams, ALGAMS, (x, result, sgngam)); |
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378 |
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379 return result; |
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380 #endif |
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381 } |
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382 |
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383 FloatComplex |
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384 xlgamma (const FloatComplex& xc) |
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385 { |
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386 // Can only be called with a real value of x. |
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387 float x = xc.real (); |
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388 float result; |
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389 |
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390 #if defined (HAVE_LGAMMAF_R) |
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391 int sgngam; |
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392 result = lgammaf_r (x, &sgngam); |
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393 #else |
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394 float sgngam; |
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395 |
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396 if (xisnan (x)) |
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397 result = x; |
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398 else if (xisinf (x)) |
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399 result = octave_Float_Inf; |
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400 else |
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401 F77_XFCN (algams, ALGAMS, (x, result, sgngam)); |
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402 |
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403 #endif |
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404 |
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405 if (sgngam < 0) |
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406 return result + FloatComplex (0., M_PI); |
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407 else |
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408 return result; |
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409 } |
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410 |
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411 #if !defined (HAVE_EXPM1) |
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412 double |
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413 expm1 (double x) |
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414 { |
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415 double retval; |
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416 |
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417 double ax = fabs (x); |
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418 |
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419 if (ax < 0.1) |
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Jaroslav Hajek <highegg@gmail.com>
parents:
7601
diff
changeset
|
420 { |
2df457529cfa
implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7601
diff
changeset
|
421 ax /= 16; |
2df457529cfa
implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7601
diff
changeset
|
422 |
2df457529cfa
implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7601
diff
changeset
|
423 // use Taylor series to calculate exp(x)-1. |
2df457529cfa
implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7601
diff
changeset
|
424 double t = ax; |
2df457529cfa
implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7601
diff
changeset
|
425 double s = 0; |
2df457529cfa
implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7601
diff
changeset
|
426 for (int i = 2; i < 7; i++) |
2df457529cfa
implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7601
diff
changeset
|
427 s += (t *= ax/i); |
2df457529cfa
implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7601
diff
changeset
|
428 s += ax; |
2df457529cfa
implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7601
diff
changeset
|
429 |
2df457529cfa
implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7601
diff
changeset
|
430 // 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
|
431 double e = s; |
2df457529cfa
implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7601
diff
changeset
|
432 for (int i = 0; i < 4; i++) |
2df457529cfa
implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7601
diff
changeset
|
433 { |
2df457529cfa
implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7601
diff
changeset
|
434 s *= e + 2; |
2df457529cfa
implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7601
diff
changeset
|
435 e *= e + 2; |
2df457529cfa
implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7601
diff
changeset
|
436 } |
2df457529cfa
implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7601
diff
changeset
|
437 |
2df457529cfa
implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7601
diff
changeset
|
438 retval = (x > 0) ? s : -s / (1+s); |
2df457529cfa
implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7601
diff
changeset
|
439 } |
2df457529cfa
implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7601
diff
changeset
|
440 else |
2df457529cfa
implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7601
diff
changeset
|
441 retval = exp (x) - 1; |
2df457529cfa
implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7601
diff
changeset
|
442 |
2df457529cfa
implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7601
diff
changeset
|
443 return retval; |
2df457529cfa
implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7601
diff
changeset
|
444 } |
2df457529cfa
implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7601
diff
changeset
|
445 #endif |
2df457529cfa
implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7601
diff
changeset
|
446 |
2df457529cfa
implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7601
diff
changeset
|
447 Complex |
2df457529cfa
implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7601
diff
changeset
|
448 expm1(const Complex& x) |
2df457529cfa
implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7601
diff
changeset
|
449 { |
2df457529cfa
implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7601
diff
changeset
|
450 Complex retval; |
2df457529cfa
implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7601
diff
changeset
|
451 |
2df457529cfa
implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7601
diff
changeset
|
452 if (std:: abs (x) < 1) |
2df457529cfa
implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7601
diff
changeset
|
453 { |
2df457529cfa
implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7601
diff
changeset
|
454 double im = x.imag(); |
2df457529cfa
implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7601
diff
changeset
|
455 double u = expm1 (x.real ()); |
2df457529cfa
implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7601
diff
changeset
|
456 double v = sin (im/2); |
2df457529cfa
implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7601
diff
changeset
|
457 v = -2*v*v; |
2df457529cfa
implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7601
diff
changeset
|
458 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
|
459 } |
2df457529cfa
implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7601
diff
changeset
|
460 else |
2df457529cfa
implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7601
diff
changeset
|
461 retval = std::exp (x) - Complex (1); |
2df457529cfa
implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7601
diff
changeset
|
462 |
2df457529cfa
implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7601
diff
changeset
|
463 return retval; |
2df457529cfa
implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7601
diff
changeset
|
464 } |
2df457529cfa
implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7601
diff
changeset
|
465 |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
466 #if !defined (HAVE_EXPM1F) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
467 float |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
468 expm1f (float x) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
469 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
470 float retval; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
471 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
472 float ax = fabs (x); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
473 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
474 if (ax < 0.1) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
475 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
476 ax /= 16; |
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 // use Taylor series to calculate exp(x)-1. |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
479 float t = ax; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
480 float s = 0; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
481 for (int i = 2; i < 7; i++) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
482 s += (t *= ax/i); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
483 s += ax; |
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 // 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
|
486 float e = s; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
487 for (int i = 0; i < 4; i++) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
488 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
489 s *= e + 2; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
490 e *= e + 2; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
491 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
492 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
493 retval = (x > 0) ? s : -s / (1+s); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
494 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
495 else |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
496 retval = exp (x) - 1; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
497 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
498 return retval; |
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 FloatComplex |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
503 expm1f(const FloatComplex& x) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
504 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
505 FloatComplex retval; |
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 if (std:: abs (x) < 1) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
508 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
509 float im = x.imag(); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
510 float u = expm1 (x.real ()); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
511 float v = sin (im/2); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
512 v = -2*v*v; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
513 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
|
514 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
515 else |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
516 retval = std::exp (x) - FloatComplex (1); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
517 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
518 return retval; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
519 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
520 |
7638
2df457529cfa
implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7601
diff
changeset
|
521 #if !defined (HAVE_LOG1P) |
2df457529cfa
implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7601
diff
changeset
|
522 double |
2df457529cfa
implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7601
diff
changeset
|
523 log1p (double x) |
2df457529cfa
implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7601
diff
changeset
|
524 { |
2df457529cfa
implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7601
diff
changeset
|
525 double retval; |
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 double ax = fabs (x); |
2df457529cfa
implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7601
diff
changeset
|
528 |
2df457529cfa
implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7601
diff
changeset
|
529 if (ax < 0.2) |
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 // use approximation log (1+x) ~ 2*sum ((x/(2+x)).^ii ./ ii), ii = 1:2:2n+1 |
2df457529cfa
implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7601
diff
changeset
|
532 double u = x / (2 + x), t = 1, s = 0; |
2df457529cfa
implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7601
diff
changeset
|
533 for (int i = 2; i < 12; i += 2) |
2df457529cfa
implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7601
diff
changeset
|
534 s += (t *= u*u) / (i+1); |
2df457529cfa
implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7601
diff
changeset
|
535 |
2df457529cfa
implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7601
diff
changeset
|
536 retval = 2 * (s + 1) * u; |
2df457529cfa
implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7601
diff
changeset
|
537 } |
2df457529cfa
implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7601
diff
changeset
|
538 else |
2df457529cfa
implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7601
diff
changeset
|
539 retval = log (1 + x); |
2df457529cfa
implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7601
diff
changeset
|
540 |
2df457529cfa
implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7601
diff
changeset
|
541 return retval; |
2df457529cfa
implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7601
diff
changeset
|
542 } |
2df457529cfa
implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7601
diff
changeset
|
543 #endif |
2df457529cfa
implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7601
diff
changeset
|
544 |
2df457529cfa
implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7601
diff
changeset
|
545 Complex |
2df457529cfa
implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7601
diff
changeset
|
546 log1p (const Complex& x) |
2df457529cfa
implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7601
diff
changeset
|
547 { |
2df457529cfa
implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7601
diff
changeset
|
548 Complex retval; |
2df457529cfa
implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7601
diff
changeset
|
549 |
2df457529cfa
implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7601
diff
changeset
|
550 double r = x.real (), i = x.imag(); |
2df457529cfa
implement expm1 and log1p functions
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551 |
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552 if (fabs (r) < 0.5 && fabs (i) < 0.5) |
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553 { |
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554 double u = 2*r + r*r + i*i; |
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555 retval = Complex (log1p (u / (1+sqrt (u+1))), |
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556 atan2 (1 + r, i)); |
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557 } |
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558 else |
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559 retval = std::log (Complex(1) + x); |
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560 |
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561 return retval; |
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562 } |
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563 |
7789
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564 #if !defined (HAVE_LOG1PF) |
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565 float |
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566 log1pf (float x) |
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|
567 { |
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568 float retval; |
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569 |
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570 float ax = fabs (x); |
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571 |
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572 if (ax < 0.2) |
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573 { |
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574 // use approximation log (1+x) ~ 2*sum ((x/(2+x)).^ii ./ ii), ii = 1:2:2n+1 |
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575 float u = x / (2 + x), t = 1, s = 0; |
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576 for (int i = 2; i < 12; i += 2) |
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577 s += (t *= u*u) / (i+1); |
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578 |
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579 retval = 2 * (s + 1) * u; |
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580 } |
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581 else |
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582 retval = log (1 + x); |
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583 |
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584 return retval; |
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585 } |
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586 #endif |
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587 |
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588 FloatComplex |
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589 log1pf (const FloatComplex& x) |
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590 { |
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591 FloatComplex retval; |
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592 |
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593 float r = x.real (), i = x.imag(); |
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594 |
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595 if (fabs (r) < 0.5 && fabs (i) < 0.5) |
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596 { |
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597 float u = 2*r + r*r + i*i; |
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598 retval = FloatComplex (log1p (u / (1+sqrt (u+1))), |
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599 atan2 (1 + r, i)); |
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600 } |
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601 else |
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602 retval = std::log (FloatComplex(1) + x); |
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603 |
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604 return retval; |
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605 } |
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606 |
3220 | 607 static inline Complex |
5275 | 608 zbesj (const Complex& z, double alpha, int kode, octave_idx_type& ierr); |
3220 | 609 |
610 static inline Complex | |
5275 | 611 zbesy (const Complex& z, double alpha, int kode, octave_idx_type& ierr); |
3220 | 612 |
613 static inline Complex | |
5275 | 614 zbesi (const Complex& z, double alpha, int kode, octave_idx_type& ierr); |
3220 | 615 |
616 static inline Complex | |
5275 | 617 zbesk (const Complex& z, double alpha, int kode, octave_idx_type& ierr); |
3220 | 618 |
619 static inline Complex | |
5275 | 620 zbesh1 (const Complex& z, double alpha, int kode, octave_idx_type& ierr); |
3220 | 621 |
622 static inline Complex | |
5275 | 623 zbesh2 (const Complex& z, double alpha, int kode, octave_idx_type& ierr); |
3220 | 624 |
625 static inline Complex | |
5275 | 626 bessel_return_value (const Complex& val, octave_idx_type ierr) |
3146 | 627 { |
3220 | 628 static const Complex inf_val = Complex (octave_Inf, octave_Inf); |
629 static const Complex nan_val = Complex (octave_NaN, octave_NaN); | |
630 | |
631 Complex retval; | |
632 | |
633 switch (ierr) | |
634 { | |
635 case 0: | |
636 case 3: | |
637 retval = val; | |
638 break; | |
639 | |
640 case 2: | |
641 retval = inf_val; | |
642 break; | |
643 | |
644 default: | |
645 retval = nan_val; | |
646 break; | |
647 } | |
648 | |
3146 | 649 return retval; |
650 } | |
651 | |
4911 | 652 static inline bool |
653 is_integer_value (double x) | |
654 { | |
655 return x == static_cast<double> (static_cast<long> (x)); | |
656 } | |
657 | |
3220 | 658 static inline Complex |
5275 | 659 zbesj (const Complex& z, double alpha, int kode, octave_idx_type& ierr) |
3146 | 660 { |
3220 | 661 Complex retval; |
662 | |
663 if (alpha >= 0.0) | |
664 { | |
665 double yr = 0.0; | |
666 double yi = 0.0; | |
667 | |
5275 | 668 octave_idx_type nz; |
3220 | 669 |
670 double zr = z.real (); | |
671 double zi = z.imag (); | |
672 | |
4506 | 673 F77_FUNC (zbesj, ZBESJ) (zr, zi, alpha, 2, 1, &yr, &yi, nz, ierr); |
674 | |
675 if (kode != 2) | |
676 { | |
677 double expz = exp (std::abs (zi)); | |
678 yr *= expz; | |
679 yi *= expz; | |
680 } | |
3220 | 681 |
4490 | 682 if (zi == 0.0 && zr >= 0.0) |
3220 | 683 yi = 0.0; |
684 | |
685 retval = bessel_return_value (Complex (yr, yi), ierr); | |
686 } | |
4911 | 687 else if (is_integer_value (alpha)) |
688 { | |
689 // zbesy can overflow as z->0, and cause troubles for generic case below | |
690 alpha = -alpha; | |
691 Complex tmp = zbesj (z, alpha, kode, ierr); | |
692 if ((static_cast <long> (alpha)) & 1) | |
693 tmp = - tmp; | |
694 retval = bessel_return_value (tmp, ierr); | |
695 } | |
3220 | 696 else |
697 { | |
698 alpha = -alpha; | |
699 | |
700 Complex tmp = cos (M_PI * alpha) * zbesj (z, alpha, kode, ierr); | |
701 | |
702 if (ierr == 0 || ierr == 3) | |
703 { | |
704 tmp -= sin (M_PI * alpha) * zbesy (z, alpha, kode, ierr); | |
705 | |
706 retval = bessel_return_value (tmp, ierr); | |
707 } | |
708 else | |
709 retval = Complex (octave_NaN, octave_NaN); | |
710 } | |
711 | |
3146 | 712 return retval; |
713 } | |
714 | |
3220 | 715 static inline Complex |
5275 | 716 zbesy (const Complex& z, double alpha, int kode, octave_idx_type& ierr) |
3146 | 717 { |
3220 | 718 Complex retval; |
3146 | 719 |
720 if (alpha >= 0.0) | |
721 { | |
3220 | 722 double yr = 0.0; |
723 double yi = 0.0; | |
724 | |
5275 | 725 octave_idx_type nz; |
3220 | 726 |
727 double wr, wi; | |
3146 | 728 |
3220 | 729 double zr = z.real (); |
730 double zi = z.imag (); | |
731 | |
732 ierr = 0; | |
733 | |
734 if (zr == 0.0 && zi == 0.0) | |
3146 | 735 { |
3220 | 736 yr = -octave_Inf; |
737 yi = 0.0; | |
738 } | |
739 else | |
740 { | |
4506 | 741 F77_FUNC (zbesy, ZBESY) (zr, zi, alpha, 2, 1, &yr, &yi, nz, |
742 &wr, &wi, ierr); | |
743 | |
744 if (kode != 2) | |
745 { | |
746 double expz = exp (std::abs (zi)); | |
747 yr *= expz; | |
748 yi *= expz; | |
749 } | |
3220 | 750 |
4490 | 751 if (zi == 0.0 && zr >= 0.0) |
3220 | 752 yi = 0.0; |
3146 | 753 } |
754 | |
3220 | 755 return bessel_return_value (Complex (yr, yi), ierr); |
756 } | |
4911 | 757 else if (is_integer_value (alpha - 0.5)) |
758 { | |
759 // zbesy can overflow as z->0, and cause troubles for generic case below | |
760 alpha = -alpha; | |
761 Complex tmp = zbesj (z, alpha, kode, ierr); | |
762 if ((static_cast <long> (alpha - 0.5)) & 1) | |
763 tmp = - tmp; | |
764 retval = bessel_return_value (tmp, ierr); | |
765 } | |
3220 | 766 else |
767 { | |
768 alpha = -alpha; | |
3146 | 769 |
3220 | 770 Complex tmp = cos (M_PI * alpha) * zbesy (z, alpha, kode, ierr); |
3146 | 771 |
3220 | 772 if (ierr == 0 || ierr == 3) |
3146 | 773 { |
3220 | 774 tmp += sin (M_PI * alpha) * zbesj (z, alpha, kode, ierr); |
775 | |
776 retval = bessel_return_value (tmp, ierr); | |
777 } | |
778 else | |
779 retval = Complex (octave_NaN, octave_NaN); | |
780 } | |
781 | |
782 return retval; | |
783 } | |
784 | |
785 static inline Complex | |
5275 | 786 zbesi (const Complex& z, double alpha, int kode, octave_idx_type& ierr) |
3220 | 787 { |
788 Complex retval; | |
3146 | 789 |
3220 | 790 if (alpha >= 0.0) |
791 { | |
792 double yr = 0.0; | |
793 double yi = 0.0; | |
794 | |
5275 | 795 octave_idx_type nz; |
3146 | 796 |
3220 | 797 double zr = z.real (); |
798 double zi = z.imag (); | |
799 | |
4506 | 800 F77_FUNC (zbesi, ZBESI) (zr, zi, alpha, 2, 1, &yr, &yi, nz, ierr); |
801 | |
802 if (kode != 2) | |
803 { | |
804 double expz = exp (std::abs (zr)); | |
805 yr *= expz; | |
806 yi *= expz; | |
807 } | |
3146 | 808 |
4490 | 809 if (zi == 0.0 && zr >= 0.0) |
3220 | 810 yi = 0.0; |
811 | |
812 retval = bessel_return_value (Complex (yr, yi), ierr); | |
3146 | 813 } |
814 else | |
3220 | 815 { |
816 alpha = -alpha; | |
817 | |
818 Complex tmp = zbesi (z, alpha, kode, ierr); | |
819 | |
820 if (ierr == 0 || ierr == 3) | |
821 { | |
8278
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|
822 Complex tmp2 = (2.0 / M_PI) * sin (M_PI * alpha) |
7176 | 823 * zbesk (z, alpha, kode, ierr); |
8278
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Brian Gough <bjg@gnu.org>
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|
824 |
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|
825 if (kode == 2) |
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diff
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|
826 { |
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parents:
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diff
changeset
|
827 // Compensate for different scaling factor of besk. |
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parents:
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|
828 tmp2 *= exp(-z - std::abs(z.real())); |
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|
829 } |
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parents:
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changeset
|
830 |
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|
831 tmp += tmp2; |
3220 | 832 |
833 retval = bessel_return_value (tmp, ierr); | |
834 } | |
835 else | |
836 retval = Complex (octave_NaN, octave_NaN); | |
837 } | |
838 | |
839 return retval; | |
840 } | |
841 | |
842 static inline Complex | |
5275 | 843 zbesk (const Complex& z, double alpha, int kode, octave_idx_type& ierr) |
3220 | 844 { |
845 Complex retval; | |
846 | |
847 if (alpha >= 0.0) | |
848 { | |
849 double yr = 0.0; | |
850 double yi = 0.0; | |
851 | |
5275 | 852 octave_idx_type nz; |
3220 | 853 |
854 double zr = z.real (); | |
855 double zi = z.imag (); | |
856 | |
857 ierr = 0; | |
858 | |
859 if (zr == 0.0 && zi == 0.0) | |
860 { | |
861 yr = octave_Inf; | |
862 yi = 0.0; | |
863 } | |
864 else | |
865 { | |
4506 | 866 F77_FUNC (zbesk, ZBESK) (zr, zi, alpha, 2, 1, &yr, &yi, nz, ierr); |
867 | |
868 if (kode != 2) | |
869 { | |
870 Complex expz = exp (-z); | |
871 | |
872 double rexpz = real (expz); | |
873 double iexpz = imag (expz); | |
874 | |
875 double tmp = yr*rexpz - yi*iexpz; | |
876 | |
877 yi = yr*iexpz + yi*rexpz; | |
878 yr = tmp; | |
879 } | |
3220 | 880 |
4490 | 881 if (zi == 0.0 && zr >= 0.0) |
3220 | 882 yi = 0.0; |
883 } | |
884 | |
885 retval = bessel_return_value (Complex (yr, yi), ierr); | |
886 } | |
887 else | |
888 { | |
889 Complex tmp = zbesk (z, -alpha, kode, ierr); | |
890 | |
891 retval = bessel_return_value (tmp, ierr); | |
892 } | |
3146 | 893 |
894 return retval; | |
895 } | |
896 | |
3220 | 897 static inline Complex |
5275 | 898 zbesh1 (const Complex& z, double alpha, int kode, octave_idx_type& ierr) |
3146 | 899 { |
3220 | 900 Complex retval; |
3146 | 901 |
3220 | 902 if (alpha >= 0.0) |
3146 | 903 { |
3220 | 904 double yr = 0.0; |
905 double yi = 0.0; | |
906 | |
5275 | 907 octave_idx_type nz; |
3220 | 908 |
909 double zr = z.real (); | |
910 double zi = z.imag (); | |
3146 | 911 |
4506 | 912 F77_FUNC (zbesh, ZBESH) (zr, zi, alpha, 2, 1, 1, &yr, &yi, nz, ierr); |
913 | |
914 if (kode != 2) | |
915 { | |
916 Complex expz = exp (Complex (0.0, 1.0) * z); | |
917 | |
918 double rexpz = real (expz); | |
919 double iexpz = imag (expz); | |
920 | |
921 double tmp = yr*rexpz - yi*iexpz; | |
922 | |
923 yi = yr*iexpz + yi*rexpz; | |
924 yr = tmp; | |
925 } | |
3146 | 926 |
3220 | 927 retval = bessel_return_value (Complex (yr, yi), ierr); |
928 } | |
929 else | |
930 { | |
931 alpha = -alpha; | |
932 | |
933 static const Complex eye = Complex (0.0, 1.0); | |
3146 | 934 |
3220 | 935 Complex tmp = exp (M_PI * alpha * eye) * zbesh1 (z, alpha, kode, ierr); |
3146 | 936 |
3220 | 937 retval = bessel_return_value (tmp, ierr); |
938 } | |
3146 | 939 |
3220 | 940 return retval; |
941 } | |
3146 | 942 |
3220 | 943 static inline Complex |
5275 | 944 zbesh2 (const Complex& z, double alpha, int kode, octave_idx_type& ierr) |
3220 | 945 { |
946 Complex retval; | |
3146 | 947 |
3220 | 948 if (alpha >= 0.0) |
949 { | |
950 double yr = 0.0; | |
951 double yi = 0.0; | |
952 | |
5275 | 953 octave_idx_type nz; |
3146 | 954 |
3220 | 955 double zr = z.real (); |
956 double zi = z.imag (); | |
3146 | 957 |
4506 | 958 F77_FUNC (zbesh, ZBESH) (zr, zi, alpha, 2, 2, 1, &yr, &yi, nz, ierr); |
959 | |
960 if (kode != 2) | |
961 { | |
962 Complex expz = exp (-Complex (0.0, 1.0) * z); | |
963 | |
964 double rexpz = real (expz); | |
965 double iexpz = imag (expz); | |
966 | |
967 double tmp = yr*rexpz - yi*iexpz; | |
968 | |
969 yi = yr*iexpz + yi*rexpz; | |
970 yr = tmp; | |
971 } | |
3220 | 972 |
973 retval = bessel_return_value (Complex (yr, yi), ierr); | |
3146 | 974 } |
975 else | |
3220 | 976 { |
977 alpha = -alpha; | |
978 | |
979 static const Complex eye = Complex (0.0, 1.0); | |
980 | |
981 Complex tmp = exp (-M_PI * alpha * eye) * zbesh2 (z, alpha, kode, ierr); | |
982 | |
983 retval = bessel_return_value (tmp, ierr); | |
984 } | |
985 | |
986 return retval; | |
987 } | |
988 | |
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989 typedef Complex (*dptr) (const Complex&, double, int, octave_idx_type&); |
3220 | 990 |
991 static inline Complex | |
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992 do_bessel (dptr f, const char *, double alpha, const Complex& x, |
5275 | 993 bool scaled, octave_idx_type& ierr) |
3220 | 994 { |
995 Complex retval; | |
996 | |
997 retval = f (x, alpha, (scaled ? 2 : 1), ierr); | |
998 | |
999 return retval; | |
1000 } | |
1001 | |
1002 static inline ComplexMatrix | |
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1003 do_bessel (dptr f, const char *, double alpha, const ComplexMatrix& x, |
5275 | 1004 bool scaled, Array2<octave_idx_type>& ierr) |
3220 | 1005 { |
5275 | 1006 octave_idx_type nr = x.rows (); |
1007 octave_idx_type nc = x.cols (); | |
3220 | 1008 |
1009 ComplexMatrix retval (nr, nc); | |
1010 | |
1011 ierr.resize (nr, nc); | |
1012 | |
5275 | 1013 for (octave_idx_type j = 0; j < nc; j++) |
1014 for (octave_idx_type i = 0; i < nr; i++) | |
3220 | 1015 retval(i,j) = f (x(i,j), alpha, (scaled ? 2 : 1), ierr(i,j)); |
1016 | |
1017 return retval; | |
1018 } | |
1019 | |
1020 static inline ComplexMatrix | |
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1021 do_bessel (dptr f, const char *, const Matrix& alpha, const Complex& x, |
5275 | 1022 bool scaled, Array2<octave_idx_type>& ierr) |
3220 | 1023 { |
5275 | 1024 octave_idx_type nr = alpha.rows (); |
1025 octave_idx_type nc = alpha.cols (); | |
3220 | 1026 |
1027 ComplexMatrix retval (nr, nc); | |
1028 | |
1029 ierr.resize (nr, nc); | |
1030 | |
5275 | 1031 for (octave_idx_type j = 0; j < nc; j++) |
1032 for (octave_idx_type i = 0; i < nr; i++) | |
3220 | 1033 retval(i,j) = f (x, alpha(i,j), (scaled ? 2 : 1), ierr(i,j)); |
3146 | 1034 |
1035 return retval; | |
1036 } | |
1037 | |
3220 | 1038 static inline ComplexMatrix |
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1039 do_bessel (dptr f, const char *fn, const Matrix& alpha, |
5275 | 1040 const ComplexMatrix& x, bool scaled, Array2<octave_idx_type>& ierr) |
3146 | 1041 { |
3220 | 1042 ComplexMatrix retval; |
1043 | |
5275 | 1044 octave_idx_type x_nr = x.rows (); |
1045 octave_idx_type x_nc = x.cols (); | |
3220 | 1046 |
5275 | 1047 octave_idx_type alpha_nr = alpha.rows (); |
1048 octave_idx_type alpha_nc = alpha.cols (); | |
3220 | 1049 |
1050 if (x_nr == alpha_nr && x_nc == alpha_nc) | |
1051 { | |
5275 | 1052 octave_idx_type nr = x_nr; |
1053 octave_idx_type nc = x_nc; | |
3220 | 1054 |
1055 retval.resize (nr, nc); | |
1056 | |
1057 ierr.resize (nr, nc); | |
1058 | |
5275 | 1059 for (octave_idx_type j = 0; j < nc; j++) |
1060 for (octave_idx_type i = 0; i < nr; i++) | |
3220 | 1061 retval(i,j) = f (x(i,j), alpha(i,j), (scaled ? 2 : 1), ierr(i,j)); |
1062 } | |
1063 else | |
1064 (*current_liboctave_error_handler) | |
1065 ("%s: the sizes of alpha and x must conform", fn); | |
1066 | |
1067 return retval; | |
3146 | 1068 } |
1069 | |
4844 | 1070 static inline ComplexNDArray |
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1071 do_bessel (dptr f, const char *, double alpha, const ComplexNDArray& x, |
5275 | 1072 bool scaled, ArrayN<octave_idx_type>& ierr) |
4844 | 1073 { |
1074 dim_vector dv = x.dims (); | |
5275 | 1075 octave_idx_type nel = dv.numel (); |
4844 | 1076 ComplexNDArray retval (dv); |
1077 | |
1078 ierr.resize (dv); | |
1079 | |
5275 | 1080 for (octave_idx_type i = 0; i < nel; i++) |
4844 | 1081 retval(i) = f (x(i), alpha, (scaled ? 2 : 1), ierr(i)); |
1082 | |
1083 return retval; | |
1084 } | |
1085 | |
1086 static inline ComplexNDArray | |
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1087 do_bessel (dptr f, const char *, const NDArray& alpha, const Complex& x, |
5275 | 1088 bool scaled, ArrayN<octave_idx_type>& ierr) |
4844 | 1089 { |
1090 dim_vector dv = alpha.dims (); | |
5275 | 1091 octave_idx_type nel = dv.numel (); |
4844 | 1092 ComplexNDArray retval (dv); |
1093 | |
1094 ierr.resize (dv); | |
1095 | |
5275 | 1096 for (octave_idx_type i = 0; i < nel; i++) |
4844 | 1097 retval(i) = f (x, alpha(i), (scaled ? 2 : 1), ierr(i)); |
1098 | |
1099 return retval; | |
1100 } | |
1101 | |
1102 static inline ComplexNDArray | |
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1103 do_bessel (dptr f, const char *fn, const NDArray& alpha, |
5275 | 1104 const ComplexNDArray& x, bool scaled, ArrayN<octave_idx_type>& ierr) |
4844 | 1105 { |
1106 dim_vector dv = x.dims (); | |
1107 ComplexNDArray retval; | |
1108 | |
1109 if (dv == alpha.dims ()) | |
1110 { | |
5275 | 1111 octave_idx_type nel = dv.numel (); |
4844 | 1112 |
1113 retval.resize (dv); | |
1114 ierr.resize (dv); | |
1115 | |
5275 | 1116 for (octave_idx_type i = 0; i < nel; i++) |
4844 | 1117 retval(i) = f (x(i), alpha(i), (scaled ? 2 : 1), ierr(i)); |
1118 } | |
1119 else | |
1120 (*current_liboctave_error_handler) | |
1121 ("%s: the sizes of alpha and x must conform", fn); | |
1122 | |
1123 return retval; | |
1124 } | |
1125 | |
3220 | 1126 static inline ComplexMatrix |
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1127 do_bessel (dptr f, const char *, const RowVector& alpha, |
5275 | 1128 const ComplexColumnVector& x, bool scaled, Array2<octave_idx_type>& ierr) |
3146 | 1129 { |
5275 | 1130 octave_idx_type nr = x.length (); |
1131 octave_idx_type nc = alpha.length (); | |
3220 | 1132 |
1133 ComplexMatrix retval (nr, nc); | |
3146 | 1134 |
3220 | 1135 ierr.resize (nr, nc); |
1136 | |
5275 | 1137 for (octave_idx_type j = 0; j < nc; j++) |
1138 for (octave_idx_type i = 0; i < nr; i++) | |
3220 | 1139 retval(i,j) = f (x(i), alpha(j), (scaled ? 2 : 1), ierr(i,j)); |
1140 | |
1141 return retval; | |
3146 | 1142 } |
1143 | |
3220 | 1144 #define SS_BESSEL(name, fcn) \ |
1145 Complex \ | |
5275 | 1146 name (double alpha, const Complex& x, bool scaled, octave_idx_type& ierr) \ |
3220 | 1147 { \ |
1148 return do_bessel (fcn, #name, alpha, x, scaled, ierr); \ | |
1149 } | |
1150 | |
1151 #define SM_BESSEL(name, fcn) \ | |
1152 ComplexMatrix \ | |
1153 name (double alpha, const ComplexMatrix& x, bool scaled, \ | |
5275 | 1154 Array2<octave_idx_type>& ierr) \ |
3220 | 1155 { \ |
1156 return do_bessel (fcn, #name, alpha, x, scaled, ierr); \ | |
1157 } | |
1158 | |
1159 #define MS_BESSEL(name, fcn) \ | |
1160 ComplexMatrix \ | |
1161 name (const Matrix& alpha, const Complex& x, bool scaled, \ | |
5275 | 1162 Array2<octave_idx_type>& ierr) \ |
3220 | 1163 { \ |
1164 return do_bessel (fcn, #name, alpha, x, scaled, ierr); \ | |
1165 } | |
1166 | |
1167 #define MM_BESSEL(name, fcn) \ | |
1168 ComplexMatrix \ | |
1169 name (const Matrix& alpha, const ComplexMatrix& x, bool scaled, \ | |
5275 | 1170 Array2<octave_idx_type>& ierr) \ |
3220 | 1171 { \ |
1172 return do_bessel (fcn, #name, alpha, x, scaled, ierr); \ | |
1173 } | |
1174 | |
4844 | 1175 #define SN_BESSEL(name, fcn) \ |
1176 ComplexNDArray \ | |
1177 name (double alpha, const ComplexNDArray& x, bool scaled, \ | |
5275 | 1178 ArrayN<octave_idx_type>& ierr) \ |
4844 | 1179 { \ |
1180 return do_bessel (fcn, #name, alpha, x, scaled, ierr); \ | |
1181 } | |
1182 | |
1183 #define NS_BESSEL(name, fcn) \ | |
1184 ComplexNDArray \ | |
1185 name (const NDArray& alpha, const Complex& x, bool scaled, \ | |
5275 | 1186 ArrayN<octave_idx_type>& ierr) \ |
4844 | 1187 { \ |
1188 return do_bessel (fcn, #name, alpha, x, scaled, ierr); \ | |
1189 } | |
1190 | |
1191 #define NN_BESSEL(name, fcn) \ | |
1192 ComplexNDArray \ | |
1193 name (const NDArray& alpha, const ComplexNDArray& x, bool scaled, \ | |
5275 | 1194 ArrayN<octave_idx_type>& ierr) \ |
4844 | 1195 { \ |
1196 return do_bessel (fcn, #name, alpha, x, scaled, ierr); \ | |
1197 } | |
1198 | |
3220 | 1199 #define RC_BESSEL(name, fcn) \ |
1200 ComplexMatrix \ | |
1201 name (const RowVector& alpha, const ComplexColumnVector& x, bool scaled, \ | |
5275 | 1202 Array2<octave_idx_type>& ierr) \ |
3220 | 1203 { \ |
1204 return do_bessel (fcn, #name, alpha, x, scaled, ierr); \ | |
1205 } | |
1206 | |
1207 #define ALL_BESSEL(name, fcn) \ | |
1208 SS_BESSEL (name, fcn) \ | |
1209 SM_BESSEL (name, fcn) \ | |
1210 MS_BESSEL (name, fcn) \ | |
1211 MM_BESSEL (name, fcn) \ | |
4844 | 1212 SN_BESSEL (name, fcn) \ |
1213 NS_BESSEL (name, fcn) \ | |
1214 NN_BESSEL (name, fcn) \ | |
3220 | 1215 RC_BESSEL (name, fcn) |
1216 | |
1217 ALL_BESSEL (besselj, zbesj) | |
1218 ALL_BESSEL (bessely, zbesy) | |
1219 ALL_BESSEL (besseli, zbesi) | |
1220 ALL_BESSEL (besselk, zbesk) | |
1221 ALL_BESSEL (besselh1, zbesh1) | |
1222 ALL_BESSEL (besselh2, zbesh2) | |
1223 | |
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1224 #undef ALL_BESSEL |
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1225 #undef SS_BESSEL |
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1226 #undef SM_BESSEL |
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1227 #undef MS_BESSEL |
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1228 #undef MM_BESSEL |
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1229 #undef SN_BESSEL |
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1230 #undef NS_BESSEL |
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1231 #undef NN_BESSEL |
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1232 #undef RC_BESSEL |
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1233 |
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1234 static inline FloatComplex |
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1235 cbesj (const FloatComplex& z, float alpha, int kode, octave_idx_type& ierr); |
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1236 |
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1237 static inline FloatComplex |
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1238 cbesy (const FloatComplex& z, float alpha, int kode, octave_idx_type& ierr); |
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1239 |
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1240 static inline FloatComplex |
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1241 cbesi (const FloatComplex& z, float alpha, int kode, octave_idx_type& ierr); |
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1242 |
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1243 static inline FloatComplex |
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1244 cbesk (const FloatComplex& z, float alpha, int kode, octave_idx_type& ierr); |
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1245 |
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1246 static inline FloatComplex |
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1247 cbesh1 (const FloatComplex& z, float alpha, int kode, octave_idx_type& ierr); |
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1248 |
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1249 static inline FloatComplex |
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1250 cbesh2 (const FloatComplex& z, float alpha, int kode, octave_idx_type& ierr); |
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1251 |
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1252 static inline FloatComplex |
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1253 bessel_return_value (const FloatComplex& val, octave_idx_type ierr) |
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1254 { |
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1255 static const FloatComplex inf_val = FloatComplex (octave_Float_Inf, octave_Float_Inf); |
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1256 static const FloatComplex nan_val = FloatComplex (octave_Float_NaN, octave_Float_NaN); |
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1257 |
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1258 FloatComplex retval; |
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1259 |
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1260 switch (ierr) |
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1261 { |
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1262 case 0: |
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1263 case 3: |
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1264 retval = val; |
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1265 break; |
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1266 |
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1267 case 2: |
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1268 retval = inf_val; |
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1269 break; |
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1270 |
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1271 default: |
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1272 retval = nan_val; |
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1273 break; |
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1274 } |
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1275 |
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1276 return retval; |
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1277 } |
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1278 |
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1279 static inline bool |
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1280 is_integer_value (float x) |
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1281 { |
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1282 return x == static_cast<float> (static_cast<long> (x)); |
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1283 } |
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David Bateman <dbateman@free.fr>
parents:
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diff
changeset
|
1284 |
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First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
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diff
changeset
|
1285 static inline FloatComplex |
82be108cc558
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David Bateman <dbateman@free.fr>
parents:
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diff
changeset
|
1286 cbesj (const FloatComplex& z, float alpha, int kode, octave_idx_type& ierr) |
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David Bateman <dbateman@free.fr>
parents:
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diff
changeset
|
1287 { |
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David Bateman <dbateman@free.fr>
parents:
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diff
changeset
|
1288 FloatComplex retval; |
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David Bateman <dbateman@free.fr>
parents:
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diff
changeset
|
1289 |
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David Bateman <dbateman@free.fr>
parents:
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diff
changeset
|
1290 if (alpha >= 0.0) |
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David Bateman <dbateman@free.fr>
parents:
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diff
changeset
|
1291 { |
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David Bateman <dbateman@free.fr>
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diff
changeset
|
1292 float yr = 0.0; |
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David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1293 float yi = 0.0; |
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David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1294 |
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First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
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diff
changeset
|
1295 octave_idx_type nz; |
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David Bateman <dbateman@free.fr>
parents:
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diff
changeset
|
1296 |
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First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
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diff
changeset
|
1297 float zr = z.real (); |
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David Bateman <dbateman@free.fr>
parents:
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diff
changeset
|
1298 float zi = z.imag (); |
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David Bateman <dbateman@free.fr>
parents:
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diff
changeset
|
1299 |
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First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
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diff
changeset
|
1300 F77_FUNC (cbesj, CBESJ) (zr, zi, alpha, 2, 1, &yr, &yi, nz, ierr); |
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David Bateman <dbateman@free.fr>
parents:
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diff
changeset
|
1301 |
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David Bateman <dbateman@free.fr>
parents:
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diff
changeset
|
1302 if (kode != 2) |
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David Bateman <dbateman@free.fr>
parents:
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diff
changeset
|
1303 { |
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First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
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diff
changeset
|
1304 float expz = exp (std::abs (zi)); |
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parents:
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diff
changeset
|
1305 yr *= expz; |
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David Bateman <dbateman@free.fr>
parents:
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diff
changeset
|
1306 yi *= expz; |
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David Bateman <dbateman@free.fr>
parents:
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diff
changeset
|
1307 } |
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David Bateman <dbateman@free.fr>
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diff
changeset
|
1308 |
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David Bateman <dbateman@free.fr>
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diff
changeset
|
1309 if (zi == 0.0 && zr >= 0.0) |
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First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
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diff
changeset
|
1310 yi = 0.0; |
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First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
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diff
changeset
|
1311 |
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First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
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diff
changeset
|
1312 retval = bessel_return_value (FloatComplex (yr, yi), ierr); |
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David Bateman <dbateman@free.fr>
parents:
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diff
changeset
|
1313 } |
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First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
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diff
changeset
|
1314 else if (is_integer_value (alpha)) |
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First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
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diff
changeset
|
1315 { |
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First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
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diff
changeset
|
1316 // zbesy can overflow as z->0, and cause troubles for generic case below |
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First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1317 alpha = -alpha; |
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First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1318 FloatComplex tmp = cbesj (z, alpha, kode, ierr); |
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First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
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diff
changeset
|
1319 if ((static_cast <long> (alpha)) & 1) |
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First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
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diff
changeset
|
1320 tmp = - tmp; |
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First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
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diff
changeset
|
1321 retval = bessel_return_value (tmp, ierr); |
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David Bateman <dbateman@free.fr>
parents:
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diff
changeset
|
1322 } |
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First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
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diff
changeset
|
1323 else |
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First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
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diff
changeset
|
1324 { |
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First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
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diff
changeset
|
1325 alpha = -alpha; |
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First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
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diff
changeset
|
1326 |
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First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
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diff
changeset
|
1327 FloatComplex tmp = cosf (static_cast<float> (M_PI) * alpha) * cbesj (z, alpha, kode, ierr); |
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First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
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diff
changeset
|
1328 |
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First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
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diff
changeset
|
1329 if (ierr == 0 || ierr == 3) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
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diff
changeset
|
1330 { |
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First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
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diff
changeset
|
1331 tmp -= sinf (static_cast<float> (M_PI) * alpha) * cbesy (z, alpha, kode, ierr); |
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First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
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diff
changeset
|
1332 |
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First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
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diff
changeset
|
1333 retval = bessel_return_value (tmp, ierr); |
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David Bateman <dbateman@free.fr>
parents:
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diff
changeset
|
1334 } |
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First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
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diff
changeset
|
1335 else |
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David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1336 retval = FloatComplex (octave_Float_NaN, octave_Float_NaN); |
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David Bateman <dbateman@free.fr>
parents:
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diff
changeset
|
1337 } |
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First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
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diff
changeset
|
1338 |
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First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
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diff
changeset
|
1339 return retval; |
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David Bateman <dbateman@free.fr>
parents:
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diff
changeset
|
1340 } |
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David Bateman <dbateman@free.fr>
parents:
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diff
changeset
|
1341 |
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First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
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diff
changeset
|
1342 static inline FloatComplex |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1343 cbesy (const FloatComplex& z, float alpha, int kode, octave_idx_type& ierr) |
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First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
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diff
changeset
|
1344 { |
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First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
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diff
changeset
|
1345 FloatComplex retval; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
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diff
changeset
|
1346 |
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First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
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diff
changeset
|
1347 if (alpha >= 0.0) |
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David Bateman <dbateman@free.fr>
parents:
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diff
changeset
|
1348 { |
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First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
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diff
changeset
|
1349 float yr = 0.0; |
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First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1350 float yi = 0.0; |
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David Bateman <dbateman@free.fr>
parents:
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diff
changeset
|
1351 |
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First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
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diff
changeset
|
1352 octave_idx_type nz; |
82be108cc558
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David Bateman <dbateman@free.fr>
parents:
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diff
changeset
|
1353 |
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First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
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diff
changeset
|
1354 float wr, wi; |
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David Bateman <dbateman@free.fr>
parents:
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diff
changeset
|
1355 |
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First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
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diff
changeset
|
1356 float zr = z.real (); |
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David Bateman <dbateman@free.fr>
parents:
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diff
changeset
|
1357 float zi = z.imag (); |
82be108cc558
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David Bateman <dbateman@free.fr>
parents:
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diff
changeset
|
1358 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
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diff
changeset
|
1359 ierr = 0; |
82be108cc558
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David Bateman <dbateman@free.fr>
parents:
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diff
changeset
|
1360 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
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diff
changeset
|
1361 if (zr == 0.0 && zi == 0.0) |
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David Bateman <dbateman@free.fr>
parents:
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diff
changeset
|
1362 { |
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First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
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diff
changeset
|
1363 yr = -octave_Float_Inf; |
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First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1364 yi = 0.0; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1365 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
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diff
changeset
|
1366 else |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
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diff
changeset
|
1367 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1368 F77_FUNC (cbesy, CBESY) (zr, zi, alpha, 2, 1, &yr, &yi, nz, |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1369 &wr, &wi, ierr); |
82be108cc558
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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 if (kode != 2) |
82be108cc558
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David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1372 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
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diff
changeset
|
1373 float expz = exp (std::abs (zi)); |
82be108cc558
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David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1374 yr *= expz; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1375 yi *= expz; |
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:
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diff
changeset
|
1377 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
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diff
changeset
|
1378 if (zi == 0.0 && zr >= 0.0) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1379 yi = 0.0; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1380 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
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diff
changeset
|
1381 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
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diff
changeset
|
1382 return bessel_return_value (FloatComplex (yr, yi), ierr); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
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diff
changeset
|
1383 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1384 else if (is_integer_value (alpha - 0.5)) |
82be108cc558
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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 // 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
|
1387 alpha = -alpha; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1388 FloatComplex tmp = cbesj (z, alpha, kode, ierr); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1389 if ((static_cast <long> (alpha - 0.5)) & 1) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1390 tmp = - tmp; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1391 retval = bessel_return_value (tmp, ierr); |
82be108cc558
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David Bateman <dbateman@free.fr>
parents:
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diff
changeset
|
1392 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
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diff
changeset
|
1393 else |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
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diff
changeset
|
1394 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1395 alpha = -alpha; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
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diff
changeset
|
1396 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1397 FloatComplex tmp = cosf (static_cast<float> (M_PI) * alpha) * cbesy (z, alpha, kode, ierr); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
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diff
changeset
|
1398 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1399 if (ierr == 0 || ierr == 3) |
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 tmp += sinf (static_cast<float> (M_PI) * alpha) * cbesj (z, alpha, kode, ierr); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1402 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1403 retval = bessel_return_value (tmp, ierr); |
82be108cc558
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David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1404 } |
82be108cc558
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parents:
7638
diff
changeset
|
1405 else |
82be108cc558
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David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1406 retval = FloatComplex (octave_Float_NaN, octave_Float_NaN); |
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parents:
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diff
changeset
|
1407 } |
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parents:
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diff
changeset
|
1408 |
82be108cc558
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David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1409 return retval; |
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David Bateman <dbateman@free.fr>
parents:
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diff
changeset
|
1410 } |
82be108cc558
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parents:
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diff
changeset
|
1411 |
82be108cc558
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parents:
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diff
changeset
|
1412 static inline FloatComplex |
82be108cc558
First attempt at single precision tyeps
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parents:
7638
diff
changeset
|
1413 cbesi (const FloatComplex& z, float alpha, int kode, octave_idx_type& ierr) |
82be108cc558
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parents:
7638
diff
changeset
|
1414 { |
82be108cc558
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David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1415 FloatComplex retval; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1416 |
82be108cc558
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David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1417 if (alpha >= 0.0) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1418 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1419 float yr = 0.0; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1420 float yi = 0.0; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1421 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1422 octave_idx_type nz; |
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 float zr = z.real (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1425 float zi = z.imag (); |
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 F77_FUNC (cbesi, CBESI) (zr, zi, alpha, 2, 1, &yr, &yi, nz, ierr); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1428 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1429 if (kode != 2) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1430 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1431 float expz = exp (std::abs (zr)); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1432 yr *= expz; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1433 yi *= expz; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1434 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1435 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1436 if (zi == 0.0 && zr >= 0.0) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1437 yi = 0.0; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1438 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1439 retval = bessel_return_value (FloatComplex (yr, yi), ierr); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1440 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1441 else |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1442 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1443 alpha = -alpha; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1444 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1445 FloatComplex tmp = cbesi (z, alpha, kode, ierr); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1446 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1447 if (ierr == 0 || ierr == 3) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1448 { |
8278
ab0674a8b345
fix scaling factor for negative alpha in zbesi,cbesi
Brian Gough <bjg@gnu.org>
parents:
7914
diff
changeset
|
1449 FloatComplex tmp2 = static_cast<float> (2.0 / M_PI) * sinf (static_cast<float> (M_PI) * alpha) |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1450 * cbesk (z, alpha, kode, ierr); |
8278
ab0674a8b345
fix scaling factor for negative alpha in zbesi,cbesi
Brian Gough <bjg@gnu.org>
parents:
7914
diff
changeset
|
1451 |
ab0674a8b345
fix scaling factor for negative alpha in zbesi,cbesi
Brian Gough <bjg@gnu.org>
parents:
7914
diff
changeset
|
1452 if (kode == 2) |
ab0674a8b345
fix scaling factor for negative alpha in zbesi,cbesi
Brian Gough <bjg@gnu.org>
parents:
7914
diff
changeset
|
1453 { |
ab0674a8b345
fix scaling factor for negative alpha in zbesi,cbesi
Brian Gough <bjg@gnu.org>
parents:
7914
diff
changeset
|
1454 // Compensate for different scaling factor of besk. |
ab0674a8b345
fix scaling factor for negative alpha in zbesi,cbesi
Brian Gough <bjg@gnu.org>
parents:
7914
diff
changeset
|
1455 tmp2 *= exp(-z - std::abs(z.real())); |
ab0674a8b345
fix scaling factor for negative alpha in zbesi,cbesi
Brian Gough <bjg@gnu.org>
parents:
7914
diff
changeset
|
1456 } |
ab0674a8b345
fix scaling factor for negative alpha in zbesi,cbesi
Brian Gough <bjg@gnu.org>
parents:
7914
diff
changeset
|
1457 |
ab0674a8b345
fix scaling factor for negative alpha in zbesi,cbesi
Brian Gough <bjg@gnu.org>
parents:
7914
diff
changeset
|
1458 tmp += tmp2; |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1459 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1460 retval = bessel_return_value (tmp, ierr); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1461 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1462 else |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1463 retval = FloatComplex (octave_Float_NaN, octave_Float_NaN); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1464 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1465 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1466 return retval; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1467 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1468 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1469 static inline FloatComplex |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1470 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
|
1471 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1472 FloatComplex retval; |
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 if (alpha >= 0.0) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1475 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1476 float yr = 0.0; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1477 float yi = 0.0; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1478 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1479 octave_idx_type nz; |
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 float zr = z.real (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1482 float zi = z.imag (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1483 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1484 ierr = 0; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1485 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1486 if (zr == 0.0 && zi == 0.0) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1487 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1488 yr = octave_Float_Inf; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1489 yi = 0.0; |
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 else |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1492 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1493 F77_FUNC (cbesk, CBESK) (zr, zi, alpha, 2, 1, &yr, &yi, nz, ierr); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1494 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1495 if (kode != 2) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1496 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1497 FloatComplex expz = exp (-z); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1498 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1499 float rexpz = real (expz); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1500 float iexpz = imag (expz); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1501 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1502 float tmp = yr*rexpz - yi*iexpz; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1503 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1504 yi = yr*iexpz + yi*rexpz; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1505 yr = tmp; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1506 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1507 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1508 if (zi == 0.0 && zr >= 0.0) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1509 yi = 0.0; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1510 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1511 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1512 retval = bessel_return_value (FloatComplex (yr, yi), ierr); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1513 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1514 else |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1515 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1516 FloatComplex tmp = cbesk (z, -alpha, kode, ierr); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1517 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1518 retval = bessel_return_value (tmp, ierr); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1519 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1520 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1521 return retval; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1522 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1523 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1524 static inline FloatComplex |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1525 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
|
1526 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1527 FloatComplex retval; |
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 (alpha >= 0.0) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1530 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1531 float yr = 0.0; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1532 float yi = 0.0; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1533 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1534 octave_idx_type nz; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1535 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1536 float zr = z.real (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1537 float zi = z.imag (); |
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 F77_FUNC (cbesh, CBESH) (zr, zi, alpha, 2, 1, 1, &yr, &yi, nz, ierr); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1540 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1541 if (kode != 2) |
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 FloatComplex expz = exp (FloatComplex (0.0, 1.0) * z); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1544 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1545 float rexpz = real (expz); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1546 float iexpz = imag (expz); |
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 float tmp = yr*rexpz - yi*iexpz; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1549 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1550 yi = yr*iexpz + yi*rexpz; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1551 yr = tmp; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1552 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1553 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1554 retval = bessel_return_value (FloatComplex (yr, yi), ierr); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1555 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1556 else |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1557 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1558 alpha = -alpha; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1559 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1560 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
|
1561 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1562 FloatComplex tmp = exp (static_cast<float> (M_PI) * alpha * eye) * cbesh1 (z, alpha, kode, ierr); |
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First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1563 |
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First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1564 retval = bessel_return_value (tmp, ierr); |
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First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1565 } |
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First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1566 |
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First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1567 return retval; |
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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 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1570 static inline FloatComplex |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1571 cbesh2 (const FloatComplex& z, float alpha, int kode, octave_idx_type& ierr) |
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First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1572 { |
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First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1573 FloatComplex retval; |
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First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1574 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1575 if (alpha >= 0.0) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1576 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1577 float yr = 0.0; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1578 float yi = 0.0; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1579 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1580 octave_idx_type nz; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1581 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1582 float zr = z.real (); |
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First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1583 float zi = z.imag (); |
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First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1584 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1585 F77_FUNC (cbesh, CBESH) (zr, zi, alpha, 2, 2, 1, &yr, &yi, nz, ierr); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1586 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1587 if (kode != 2) |
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First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1588 { |
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First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1589 FloatComplex expz = exp (-FloatComplex (0.0, 1.0) * z); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1590 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1591 float rexpz = real (expz); |
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First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1592 float iexpz = imag (expz); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1593 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1594 float tmp = yr*rexpz - yi*iexpz; |
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 yi = yr*iexpz + yi*rexpz; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1597 yr = tmp; |
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 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1600 retval = bessel_return_value (FloatComplex (yr, yi), ierr); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1601 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1602 else |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1603 { |
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First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1604 alpha = -alpha; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1605 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1606 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
|
1607 |
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First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1608 FloatComplex tmp = exp (-static_cast<float> (M_PI) * alpha * eye) * cbesh2 (z, alpha, kode, ierr); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1609 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1610 retval = bessel_return_value (tmp, ierr); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1611 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1612 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1613 return retval; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1614 } |
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First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1615 |
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First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1616 typedef FloatComplex (*fptr) (const FloatComplex&, float, int, octave_idx_type&); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1617 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1618 static inline FloatComplex |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1619 do_bessel (fptr f, const char *, float alpha, const FloatComplex& x, |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1620 bool scaled, octave_idx_type& ierr) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1621 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1622 FloatComplex retval; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1623 |
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First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1624 retval = f (x, alpha, (scaled ? 2 : 1), ierr); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1625 |
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First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1626 return retval; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1627 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1628 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1629 static inline FloatComplexMatrix |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1630 do_bessel (fptr f, const char *, float alpha, const FloatComplexMatrix& x, |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1631 bool scaled, Array2<octave_idx_type>& ierr) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1632 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1633 octave_idx_type nr = x.rows (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1634 octave_idx_type nc = x.cols (); |
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 FloatComplexMatrix retval (nr, nc); |
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 ierr.resize (nr, nc); |
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 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
|
1641 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
|
1642 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
|
1643 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1644 return retval; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1645 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1646 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1647 static inline FloatComplexMatrix |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1648 do_bessel (fptr f, const char *, const FloatMatrix& alpha, const FloatComplex& x, |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1649 bool scaled, Array2<octave_idx_type>& ierr) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1650 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1651 octave_idx_type nr = alpha.rows (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1652 octave_idx_type nc = alpha.cols (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1653 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1654 FloatComplexMatrix retval (nr, nc); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1655 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1656 ierr.resize (nr, nc); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1657 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1658 for (octave_idx_type j = 0; j < nc; j++) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1659 for (octave_idx_type i = 0; i < nr; i++) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1660 retval(i,j) = f (x, 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
|
1661 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1662 return retval; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1663 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1664 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1665 static inline FloatComplexMatrix |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1666 do_bessel (fptr f, const char *fn, const FloatMatrix& alpha, |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1667 const FloatComplexMatrix& x, bool scaled, Array2<octave_idx_type>& ierr) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1668 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1669 FloatComplexMatrix retval; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1670 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1671 octave_idx_type x_nr = x.rows (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1672 octave_idx_type x_nc = x.cols (); |
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 octave_idx_type alpha_nr = alpha.rows (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1675 octave_idx_type alpha_nc = alpha.cols (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1676 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1677 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
|
1678 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1679 octave_idx_type nr = x_nr; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1680 octave_idx_type nc = x_nc; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1681 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1682 retval.resize (nr, nc); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1683 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1684 ierr.resize (nr, nc); |
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 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
|
1687 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
|
1688 retval(i,j) = f (x(i,j), alpha(i,j), (scaled ? 2 : 1), ierr(i,j)); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
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diff
changeset
|
1689 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1690 else |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1691 (*current_liboctave_error_handler) |
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First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1692 ("%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
|
1693 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1694 return retval; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1695 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1696 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1697 static inline FloatComplexNDArray |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1698 do_bessel (fptr f, const char *, float alpha, const FloatComplexNDArray& x, |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1699 bool scaled, ArrayN<octave_idx_type>& ierr) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1700 { |
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First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1701 dim_vector dv = x.dims (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1702 octave_idx_type nel = dv.numel (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1703 FloatComplexNDArray retval (dv); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1704 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1705 ierr.resize (dv); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1706 |
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First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1707 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
|
1708 retval(i) = f (x(i), alpha, (scaled ? 2 : 1), ierr(i)); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1709 |
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First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1710 return retval; |
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First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1711 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1712 |
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First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1713 static inline FloatComplexNDArray |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1714 do_bessel (fptr f, const char *, const FloatNDArray& alpha, const FloatComplex& x, |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1715 bool scaled, ArrayN<octave_idx_type>& ierr) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1716 { |
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First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1717 dim_vector dv = alpha.dims (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1718 octave_idx_type nel = dv.numel (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1719 FloatComplexNDArray retval (dv); |
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 ierr.resize (dv); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1722 |
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First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1723 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
|
1724 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
|
1725 |
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First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1726 return retval; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1727 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1728 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1729 static inline FloatComplexNDArray |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1730 do_bessel (fptr f, const char *fn, const FloatNDArray& alpha, |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1731 const FloatComplexNDArray& x, bool scaled, ArrayN<octave_idx_type>& ierr) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1732 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1733 dim_vector dv = x.dims (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1734 FloatComplexNDArray retval; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1735 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1736 if (dv == alpha.dims ()) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1737 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1738 octave_idx_type nel = dv.numel (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1739 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1740 retval.resize (dv); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1741 ierr.resize (dv); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1742 |
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First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1743 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
|
1744 retval(i) = f (x(i), alpha(i), (scaled ? 2 : 1), ierr(i)); |
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 else |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1747 (*current_liboctave_error_handler) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1748 ("%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
|
1749 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1750 return retval; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1751 } |
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 static inline FloatComplexMatrix |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1754 do_bessel (fptr f, const char *, const FloatRowVector& alpha, |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1755 const FloatComplexColumnVector& x, bool scaled, Array2<octave_idx_type>& ierr) |
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 octave_idx_type nr = x.length (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1758 octave_idx_type nc = alpha.length (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1759 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1760 FloatComplexMatrix retval (nr, nc); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1761 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1762 ierr.resize (nr, nc); |
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 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
|
1765 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
|
1766 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
|
1767 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1768 return retval; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1769 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1770 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1771 #define SS_BESSEL(name, fcn) \ |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1772 FloatComplex \ |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1773 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
|
1774 { \ |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1775 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
|
1776 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1777 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1778 #define SM_BESSEL(name, fcn) \ |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1779 FloatComplexMatrix \ |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1780 name (float alpha, const FloatComplexMatrix& x, bool scaled, \ |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1781 Array2<octave_idx_type>& ierr) \ |
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 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
|
1784 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1785 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1786 #define MS_BESSEL(name, fcn) \ |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1787 FloatComplexMatrix \ |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1788 name (const FloatMatrix& alpha, const FloatComplex& x, bool scaled, \ |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1789 Array2<octave_idx_type>& ierr) \ |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1790 { \ |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1791 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
|
1792 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1793 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1794 #define MM_BESSEL(name, fcn) \ |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1795 FloatComplexMatrix \ |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1796 name (const FloatMatrix& alpha, const FloatComplexMatrix& x, bool scaled, \ |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1797 Array2<octave_idx_type>& ierr) \ |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1798 { \ |
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First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1799 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
|
1800 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1801 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1802 #define SN_BESSEL(name, fcn) \ |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1803 FloatComplexNDArray \ |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1804 name (float alpha, const FloatComplexNDArray& x, bool scaled, \ |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1805 ArrayN<octave_idx_type>& ierr) \ |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1806 { \ |
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First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1807 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
|
1808 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
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diff
changeset
|
1809 |
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First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1810 #define NS_BESSEL(name, fcn) \ |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1811 FloatComplexNDArray \ |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1812 name (const FloatNDArray& alpha, const FloatComplex& x, bool scaled, \ |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1813 ArrayN<octave_idx_type>& ierr) \ |
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 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
|
1816 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1817 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1818 #define NN_BESSEL(name, fcn) \ |
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First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1819 FloatComplexNDArray \ |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1820 name (const FloatNDArray& alpha, const FloatComplexNDArray& x, bool scaled, \ |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1821 ArrayN<octave_idx_type>& ierr) \ |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
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1822 { \ |
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1823 return do_bessel (fcn, #name, alpha, x, scaled, ierr); \ |
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1824 } |
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1825 |
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1826 #define RC_BESSEL(name, fcn) \ |
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1827 FloatComplexMatrix \ |
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1828 name (const FloatRowVector& alpha, const FloatComplexColumnVector& x, bool scaled, \ |
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1829 Array2<octave_idx_type>& ierr) \ |
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1830 { \ |
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1831 return do_bessel (fcn, #name, alpha, x, scaled, ierr); \ |
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1832 } |
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1833 |
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1834 #define ALL_BESSEL(name, fcn) \ |
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1835 SS_BESSEL (name, fcn) \ |
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1836 SM_BESSEL (name, fcn) \ |
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1837 MS_BESSEL (name, fcn) \ |
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1838 MM_BESSEL (name, fcn) \ |
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1839 SN_BESSEL (name, fcn) \ |
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1840 NS_BESSEL (name, fcn) \ |
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1841 NN_BESSEL (name, fcn) \ |
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1842 RC_BESSEL (name, fcn) |
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1843 |
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1844 ALL_BESSEL (besselj, cbesj) |
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1845 ALL_BESSEL (bessely, cbesy) |
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1846 ALL_BESSEL (besseli, cbesi) |
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1847 ALL_BESSEL (besselk, cbesk) |
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1848 ALL_BESSEL (besselh1, cbesh1) |
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1849 ALL_BESSEL (besselh2, cbesh2) |
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1850 |
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1851 #undef ALL_BESSEL |
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1852 #undef SS_BESSEL |
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1853 #undef SM_BESSEL |
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1854 #undef MS_BESSEL |
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1855 #undef MM_BESSEL |
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1856 #undef SN_BESSEL |
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1857 #undef NS_BESSEL |
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1858 #undef NN_BESSEL |
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1859 #undef RC_BESSEL |
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1860 |
3220 | 1861 Complex |
5275 | 1862 airy (const Complex& z, bool deriv, bool scaled, octave_idx_type& ierr) |
3146 | 1863 { |
3220 | 1864 double ar = 0.0; |
1865 double ai = 0.0; | |
1866 | |
5275 | 1867 octave_idx_type nz; |
3220 | 1868 |
1869 double zr = z.real (); | |
1870 double zi = z.imag (); | |
3146 | 1871 |
5275 | 1872 octave_idx_type id = deriv ? 1 : 0; |
3220 | 1873 |
4506 | 1874 F77_FUNC (zairy, ZAIRY) (zr, zi, id, 2, ar, ai, nz, ierr); |
1875 | |
1876 if (! scaled) | |
1877 { | |
1878 Complex expz = exp (- 2.0 / 3.0 * z * sqrt(z)); | |
3220 | 1879 |
4506 | 1880 double rexpz = real (expz); |
1881 double iexpz = imag (expz); | |
1882 | |
1883 double tmp = ar*rexpz - ai*iexpz; | |
1884 | |
1885 ai = ar*iexpz + ai*rexpz; | |
1886 ar = tmp; | |
1887 } | |
3220 | 1888 |
4490 | 1889 if (zi == 0.0 && (! scaled || zr >= 0.0)) |
3225 | 1890 ai = 0.0; |
1891 | |
3220 | 1892 return bessel_return_value (Complex (ar, ai), ierr); |
3146 | 1893 } |
1894 | |
3220 | 1895 Complex |
5275 | 1896 biry (const Complex& z, bool deriv, bool scaled, octave_idx_type& ierr) |
3146 | 1897 { |
3220 | 1898 double ar = 0.0; |
1899 double ai = 0.0; | |
1900 | |
1901 double zr = z.real (); | |
1902 double zi = z.imag (); | |
1903 | |
5275 | 1904 octave_idx_type id = deriv ? 1 : 0; |
3220 | 1905 |
4506 | 1906 F77_FUNC (zbiry, ZBIRY) (zr, zi, id, 2, ar, ai, ierr); |
1907 | |
1908 if (! scaled) | |
1909 { | |
1910 Complex expz = exp (std::abs (real (2.0 / 3.0 * z * sqrt (z)))); | |
3220 | 1911 |
4506 | 1912 double rexpz = real (expz); |
1913 double iexpz = imag (expz); | |
1914 | |
1915 double tmp = ar*rexpz - ai*iexpz; | |
1916 | |
1917 ai = ar*iexpz + ai*rexpz; | |
1918 ar = tmp; | |
1919 } | |
3220 | 1920 |
4490 | 1921 if (zi == 0.0 && (! scaled || zr >= 0.0)) |
3225 | 1922 ai = 0.0; |
1923 | |
3220 | 1924 return bessel_return_value (Complex (ar, ai), ierr); |
3146 | 1925 } |
1926 | |
3220 | 1927 ComplexMatrix |
5275 | 1928 airy (const ComplexMatrix& z, bool deriv, bool scaled, Array2<octave_idx_type>& ierr) |
3146 | 1929 { |
5275 | 1930 octave_idx_type nr = z.rows (); |
1931 octave_idx_type nc = z.cols (); | |
3220 | 1932 |
1933 ComplexMatrix retval (nr, nc); | |
1934 | |
1935 ierr.resize (nr, nc); | |
1936 | |
5275 | 1937 for (octave_idx_type j = 0; j < nc; j++) |
1938 for (octave_idx_type i = 0; i < nr; i++) | |
3220 | 1939 retval(i,j) = airy (z(i,j), deriv, scaled, ierr(i,j)); |
1940 | |
1941 return retval; | |
3146 | 1942 } |
1943 | |
3220 | 1944 ComplexMatrix |
5275 | 1945 biry (const ComplexMatrix& z, bool deriv, bool scaled, Array2<octave_idx_type>& ierr) |
3146 | 1946 { |
5275 | 1947 octave_idx_type nr = z.rows (); |
1948 octave_idx_type nc = z.cols (); | |
3220 | 1949 |
1950 ComplexMatrix retval (nr, nc); | |
1951 | |
1952 ierr.resize (nr, nc); | |
1953 | |
5275 | 1954 for (octave_idx_type j = 0; j < nc; j++) |
1955 for (octave_idx_type i = 0; i < nr; i++) | |
3220 | 1956 retval(i,j) = biry (z(i,j), deriv, scaled, ierr(i,j)); |
1957 | |
1958 return retval; | |
3146 | 1959 } |
1960 | |
4844 | 1961 ComplexNDArray |
5275 | 1962 airy (const ComplexNDArray& z, bool deriv, bool scaled, ArrayN<octave_idx_type>& ierr) |
4844 | 1963 { |
1964 dim_vector dv = z.dims (); | |
5275 | 1965 octave_idx_type nel = dv.numel (); |
4844 | 1966 ComplexNDArray retval (dv); |
1967 | |
1968 ierr.resize (dv); | |
1969 | |
5275 | 1970 for (octave_idx_type i = 0; i < nel; i++) |
4844 | 1971 retval (i) = airy (z(i), deriv, scaled, ierr(i)); |
1972 | |
1973 return retval; | |
1974 } | |
1975 | |
1976 ComplexNDArray | |
5275 | 1977 biry (const ComplexNDArray& z, bool deriv, bool scaled, ArrayN<octave_idx_type>& ierr) |
4844 | 1978 { |
1979 dim_vector dv = z.dims (); | |
5275 | 1980 octave_idx_type nel = dv.numel (); |
4844 | 1981 ComplexNDArray retval (dv); |
1982 | |
1983 ierr.resize (dv); | |
1984 | |
5275 | 1985 for (octave_idx_type i = 0; i < nel; i++) |
4844 | 1986 retval (i) = biry (z(i), deriv, scaled, ierr(i)); |
1987 | |
1988 return retval; | |
1989 } | |
1990 | |
7789
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1991 FloatComplex |
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1992 airy (const FloatComplex& z, bool deriv, bool scaled, octave_idx_type& ierr) |
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1993 { |
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1994 float ar = 0.0; |
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1995 float ai = 0.0; |
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1996 |
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1997 octave_idx_type nz; |
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1998 |
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1999 float zr = z.real (); |
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2000 float zi = z.imag (); |
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2001 |
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2002 octave_idx_type id = deriv ? 1 : 0; |
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2003 |
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2004 F77_FUNC (cairy, CAIRY) (zr, zi, id, 2, ar, ai, nz, ierr); |
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2005 |
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2006 if (! scaled) |
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2007 { |
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2008 FloatComplex expz = exp (- static_cast<float> (2.0 / 3.0) * z * sqrt(z)); |
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2009 |
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2010 float rexpz = real (expz); |
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2011 float iexpz = imag (expz); |
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2012 |
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2013 float tmp = ar*rexpz - ai*iexpz; |
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2014 |
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2015 ai = ar*iexpz + ai*rexpz; |
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2016 ar = tmp; |
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2017 } |
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2018 |
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2019 if (zi == 0.0 && (! scaled || zr >= 0.0)) |
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2020 ai = 0.0; |
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2021 |
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2022 return bessel_return_value (FloatComplex (ar, ai), ierr); |
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2023 } |
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2024 |
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2025 FloatComplex |
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2026 biry (const FloatComplex& z, bool deriv, bool scaled, octave_idx_type& ierr) |
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2027 { |
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2028 float ar = 0.0; |
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2029 float ai = 0.0; |
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2030 |
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2031 float zr = z.real (); |
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2032 float zi = z.imag (); |
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2033 |
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2034 octave_idx_type id = deriv ? 1 : 0; |
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2035 |
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2036 F77_FUNC (cbiry, CBIRY) (zr, zi, id, 2, ar, ai, ierr); |
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2037 |
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2038 if (! scaled) |
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2039 { |
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2040 FloatComplex expz = exp (std::abs (real (static_cast<float> (2.0 / 3.0) * z * sqrt (z)))); |
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2041 |
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2042 float rexpz = real (expz); |
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2043 float iexpz = imag (expz); |
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2044 |
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2045 float tmp = ar*rexpz - ai*iexpz; |
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2046 |
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2047 ai = ar*iexpz + ai*rexpz; |
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2048 ar = tmp; |
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2049 } |
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2050 |
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2051 if (zi == 0.0 && (! scaled || zr >= 0.0)) |
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2052 ai = 0.0; |
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2053 |
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2054 return bessel_return_value (FloatComplex (ar, ai), ierr); |
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2055 } |
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2056 |
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2057 FloatComplexMatrix |
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2058 airy (const FloatComplexMatrix& z, bool deriv, bool scaled, Array2<octave_idx_type>& ierr) |
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2059 { |
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2060 octave_idx_type nr = z.rows (); |
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2061 octave_idx_type nc = z.cols (); |
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2062 |
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2063 FloatComplexMatrix retval (nr, nc); |
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2064 |
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2065 ierr.resize (nr, nc); |
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2066 |
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2067 for (octave_idx_type j = 0; j < nc; j++) |
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2068 for (octave_idx_type i = 0; i < nr; i++) |
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2069 retval(i,j) = airy (z(i,j), deriv, scaled, ierr(i,j)); |
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2070 |
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2071 return retval; |
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2072 } |
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2073 |
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2074 FloatComplexMatrix |
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2075 biry (const FloatComplexMatrix& z, bool deriv, bool scaled, Array2<octave_idx_type>& ierr) |
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2076 { |
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2077 octave_idx_type nr = z.rows (); |
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2078 octave_idx_type nc = z.cols (); |
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2079 |
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2080 FloatComplexMatrix retval (nr, nc); |
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2081 |
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2082 ierr.resize (nr, nc); |
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2083 |
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2084 for (octave_idx_type j = 0; j < nc; j++) |
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2085 for (octave_idx_type i = 0; i < nr; i++) |
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2086 retval(i,j) = biry (z(i,j), deriv, scaled, ierr(i,j)); |
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2087 |
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2088 return retval; |
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2089 } |
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2090 |
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2091 FloatComplexNDArray |
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2092 airy (const FloatComplexNDArray& z, bool deriv, bool scaled, ArrayN<octave_idx_type>& ierr) |
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2093 { |
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2094 dim_vector dv = z.dims (); |
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2095 octave_idx_type nel = dv.numel (); |
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2096 FloatComplexNDArray retval (dv); |
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2097 |
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2098 ierr.resize (dv); |
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2099 |
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2100 for (octave_idx_type i = 0; i < nel; i++) |
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2101 retval (i) = airy (z(i), deriv, scaled, ierr(i)); |
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2102 |
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2103 return retval; |
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2104 } |
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2105 |
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2106 FloatComplexNDArray |
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2107 biry (const FloatComplexNDArray& z, bool deriv, bool scaled, ArrayN<octave_idx_type>& ierr) |
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2108 { |
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2109 dim_vector dv = z.dims (); |
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2110 octave_idx_type nel = dv.numel (); |
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2111 FloatComplexNDArray retval (dv); |
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2112 |
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2113 ierr.resize (dv); |
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2114 |
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2115 for (octave_idx_type i = 0; i < nel; i++) |
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2116 retval (i) = biry (z(i), deriv, scaled, ierr(i)); |
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2117 |
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2118 return retval; |
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2119 } |
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2120 |
3146 | 2121 static void |
5275 | 2122 gripe_betainc_nonconformant (octave_idx_type r1, octave_idx_type c1, octave_idx_type r2, octave_idx_type c2, octave_idx_type r3, |
2123 octave_idx_type c3) | |
3146 | 2124 { |
2125 (*current_liboctave_error_handler) | |
2126 ("betainc: nonconformant arguments (x is %dx%d, a is %dx%d, b is %dx%d)", | |
2127 r1, c1, r2, c2, r3, c3); | |
2128 } | |
2129 | |
4844 | 2130 static dim_vector null_dims (0); |
2131 | |
2132 static void | |
2133 gripe_betainc_nonconformant (const dim_vector& d1, const dim_vector& d2, | |
2134 const dim_vector& d3) | |
2135 { | |
2136 std::string d1_str = d1.str (); | |
2137 std::string d2_str = d2.str (); | |
2138 std::string d3_str = d3.str (); | |
2139 | |
2140 (*current_liboctave_error_handler) | |
2141 ("betainc: nonconformant arguments (x is %s, a is %s, b is %s)", | |
2142 d1_str.c_str (), d2_str.c_str (), d3_str.c_str ()); | |
2143 } | |
2144 | |
3146 | 2145 double |
2146 betainc (double x, double a, double b) | |
2147 { | |
2148 double retval; | |
5700 | 2149 F77_XFCN (xdbetai, XDBETAI, (x, a, b, retval)); |
3146 | 2150 return retval; |
2151 } | |
2152 | |
2153 Matrix | |
2154 betainc (double x, double a, const Matrix& b) | |
2155 { | |
5275 | 2156 octave_idx_type nr = b.rows (); |
2157 octave_idx_type nc = b.cols (); | |
3146 | 2158 |
2159 Matrix retval (nr, nc); | |
2160 | |
5275 | 2161 for (octave_idx_type j = 0; j < nc; j++) |
2162 for (octave_idx_type i = 0; i < nr; i++) | |
3146 | 2163 retval(i,j) = betainc (x, a, b(i,j)); |
2164 | |
2165 return retval; | |
2166 } | |
2167 | |
2168 Matrix | |
2169 betainc (double x, const Matrix& a, double b) | |
2170 { | |
5275 | 2171 octave_idx_type nr = a.rows (); |
2172 octave_idx_type nc = a.cols (); | |
3146 | 2173 |
2174 Matrix retval (nr, nc); | |
2175 | |
5275 | 2176 for (octave_idx_type j = 0; j < nc; j++) |
2177 for (octave_idx_type i = 0; i < nr; i++) | |
3146 | 2178 retval(i,j) = betainc (x, a(i,j), b); |
2179 | |
2180 return retval; | |
2181 } | |
2182 | |
2183 Matrix | |
2184 betainc (double x, const Matrix& a, const Matrix& b) | |
2185 { | |
2186 Matrix retval; | |
2187 | |
5275 | 2188 octave_idx_type a_nr = a.rows (); |
2189 octave_idx_type a_nc = a.cols (); | |
3146 | 2190 |
5275 | 2191 octave_idx_type b_nr = b.rows (); |
2192 octave_idx_type b_nc = b.cols (); | |
3146 | 2193 |
2194 if (a_nr == b_nr && a_nc == b_nc) | |
2195 { | |
2196 retval.resize (a_nr, a_nc); | |
2197 | |
5275 | 2198 for (octave_idx_type j = 0; j < a_nc; j++) |
2199 for (octave_idx_type i = 0; i < a_nr; i++) | |
3146 | 2200 retval(i,j) = betainc (x, a(i,j), b(i,j)); |
2201 } | |
2202 else | |
2203 gripe_betainc_nonconformant (1, 1, a_nr, a_nc, b_nr, b_nc); | |
2204 | |
2205 return retval; | |
2206 } | |
2207 | |
4844 | 2208 NDArray |
2209 betainc (double x, double a, const NDArray& b) | |
2210 { | |
2211 dim_vector dv = b.dims (); | |
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2212 octave_idx_type nel = dv.numel (); |
4844 | 2213 |
2214 NDArray retval (dv); | |
2215 | |
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2216 for (octave_idx_type i = 0; i < nel; i++) |
4844 | 2217 retval (i) = betainc (x, a, b(i)); |
2218 | |
2219 return retval; | |
2220 } | |
2221 | |
2222 NDArray | |
2223 betainc (double x, const NDArray& a, double b) | |
2224 { | |
2225 dim_vector dv = a.dims (); | |
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2226 octave_idx_type nel = dv.numel (); |
4844 | 2227 |
2228 NDArray retval (dv); | |
2229 | |
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2230 for (octave_idx_type i = 0; i < nel; i++) |
4844 | 2231 retval (i) = betainc (x, a(i), b); |
2232 | |
2233 return retval; | |
2234 } | |
2235 | |
2236 NDArray | |
2237 betainc (double x, const NDArray& a, const NDArray& b) | |
2238 { | |
2239 NDArray retval; | |
2240 dim_vector dv = a.dims (); | |
2241 | |
2242 if (dv == b.dims ()) | |
2243 { | |
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2244 octave_idx_type nel = dv.numel (); |
4844 | 2245 |
2246 retval.resize (dv); | |
2247 | |
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2248 for (octave_idx_type i = 0; i < nel; i++) |
4844 | 2249 retval (i) = betainc (x, a(i), b(i)); |
2250 } | |
2251 else | |
2252 gripe_betainc_nonconformant (dim_vector (0), dv, b.dims ()); | |
2253 | |
2254 return retval; | |
2255 } | |
2256 | |
2257 | |
3146 | 2258 Matrix |
2259 betainc (const Matrix& x, double a, double b) | |
2260 { | |
5275 | 2261 octave_idx_type nr = x.rows (); |
2262 octave_idx_type nc = x.cols (); | |
3146 | 2263 |
2264 Matrix retval (nr, nc); | |
2265 | |
5275 | 2266 for (octave_idx_type j = 0; j < nc; j++) |
2267 for (octave_idx_type i = 0; i < nr; i++) | |
3146 | 2268 retval(i,j) = betainc (x(i,j), a, b); |
2269 | |
2270 return retval; | |
2271 } | |
2272 | |
2273 Matrix | |
2274 betainc (const Matrix& x, double a, const Matrix& b) | |
2275 { | |
2276 Matrix retval; | |
2277 | |
5275 | 2278 octave_idx_type nr = x.rows (); |
2279 octave_idx_type nc = x.cols (); | |
3146 | 2280 |
5275 | 2281 octave_idx_type b_nr = b.rows (); |
2282 octave_idx_type b_nc = b.cols (); | |
3146 | 2283 |
2284 if (nr == b_nr && nc == b_nc) | |
2285 { | |
2286 retval.resize (nr, nc); | |
2287 | |
5275 | 2288 for (octave_idx_type j = 0; j < nc; j++) |
2289 for (octave_idx_type i = 0; i < nr; i++) | |
3146 | 2290 retval(i,j) = betainc (x(i,j), a, b(i,j)); |
2291 } | |
2292 else | |
2293 gripe_betainc_nonconformant (nr, nc, 1, 1, b_nr, b_nc); | |
2294 | |
2295 return retval; | |
2296 } | |
2297 | |
2298 Matrix | |
2299 betainc (const Matrix& x, const Matrix& a, double b) | |
2300 { | |
2301 Matrix retval; | |
2302 | |
5275 | 2303 octave_idx_type nr = x.rows (); |
2304 octave_idx_type nc = x.cols (); | |
3146 | 2305 |
5275 | 2306 octave_idx_type a_nr = a.rows (); |
2307 octave_idx_type a_nc = a.cols (); | |
3146 | 2308 |
2309 if (nr == a_nr && nc == a_nc) | |
2310 { | |
2311 retval.resize (nr, nc); | |
2312 | |
5275 | 2313 for (octave_idx_type j = 0; j < nc; j++) |
2314 for (octave_idx_type i = 0; i < nr; i++) | |
3146 | 2315 retval(i,j) = betainc (x(i,j), a(i,j), b); |
2316 } | |
2317 else | |
2318 gripe_betainc_nonconformant (nr, nc, a_nr, a_nc, 1, 1); | |
2319 | |
2320 return retval; | |
2321 } | |
2322 | |
2323 Matrix | |
2324 betainc (const Matrix& x, const Matrix& a, const Matrix& b) | |
2325 { | |
2326 Matrix retval; | |
2327 | |
5275 | 2328 octave_idx_type nr = x.rows (); |
2329 octave_idx_type nc = x.cols (); | |
3146 | 2330 |
5275 | 2331 octave_idx_type a_nr = a.rows (); |
2332 octave_idx_type a_nc = a.cols (); | |
3146 | 2333 |
5275 | 2334 octave_idx_type b_nr = b.rows (); |
2335 octave_idx_type b_nc = b.cols (); | |
3146 | 2336 |
2337 if (nr == a_nr && nr == b_nr && nc == a_nc && nc == b_nc) | |
2338 { | |
2339 retval.resize (nr, nc); | |
2340 | |
5275 | 2341 for (octave_idx_type j = 0; j < nc; j++) |
2342 for (octave_idx_type i = 0; i < nr; i++) | |
3146 | 2343 retval(i,j) = betainc (x(i,j), a(i,j), b(i,j)); |
2344 } | |
2345 else | |
2346 gripe_betainc_nonconformant (nr, nc, a_nr, a_nc, b_nr, b_nc); | |
2347 | |
2348 return retval; | |
2349 } | |
2350 | |
4844 | 2351 NDArray |
2352 betainc (const NDArray& x, double a, double b) | |
2353 { | |
2354 dim_vector dv = x.dims (); | |
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2355 octave_idx_type nel = dv.numel (); |
4844 | 2356 |
2357 NDArray retval (dv); | |
2358 | |
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2359 for (octave_idx_type i = 0; i < nel; i++) |
4844 | 2360 retval (i) = betainc (x(i), a, b); |
2361 | |
2362 return retval; | |
2363 } | |
2364 | |
2365 NDArray | |
2366 betainc (const NDArray& x, double a, const NDArray& b) | |
2367 { | |
2368 NDArray retval; | |
2369 dim_vector dv = x.dims (); | |
2370 | |
2371 if (dv == b.dims ()) | |
2372 { | |
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2373 octave_idx_type nel = dv.numel (); |
4844 | 2374 |
2375 retval.resize (dv); | |
2376 | |
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2377 for (octave_idx_type i = 0; i < nel; i++) |
4844 | 2378 retval (i) = betainc (x(i), a, b(i)); |
2379 } | |
2380 else | |
2381 gripe_betainc_nonconformant (dv, dim_vector (0), b.dims ()); | |
2382 | |
2383 return retval; | |
2384 } | |
2385 | |
2386 NDArray | |
2387 betainc (const NDArray& x, const NDArray& a, double b) | |
2388 { | |
2389 NDArray retval; | |
2390 dim_vector dv = x.dims (); | |
2391 | |
2392 if (dv == a.dims ()) | |
2393 { | |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2394 octave_idx_type nel = dv.numel (); |
4844 | 2395 |
2396 retval.resize (dv); | |
2397 | |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2398 for (octave_idx_type i = 0; i < nel; i++) |
4844 | 2399 retval (i) = betainc (x(i), a(i), b); |
2400 } | |
2401 else | |
2402 gripe_betainc_nonconformant (dv, a.dims (), dim_vector (0)); | |
2403 | |
2404 return retval; | |
2405 } | |
2406 | |
2407 NDArray | |
2408 betainc (const NDArray& x, const NDArray& a, const NDArray& b) | |
2409 { | |
2410 NDArray retval; | |
2411 dim_vector dv = x.dims (); | |
2412 | |
2413 if (dv == a.dims () && dv == b.dims ()) | |
2414 { | |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2415 octave_idx_type nel = dv.numel (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2416 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2417 retval.resize (dv); |
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 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
|
2420 retval (i) = betainc (x(i), a(i), b(i)); |
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 else |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2423 gripe_betainc_nonconformant (dv, a.dims (), b.dims ()); |
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 return retval; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2426 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2427 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2428 float |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2429 betainc (float x, float a, float b) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2430 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2431 float retval; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2432 F77_XFCN (xbetai, XBETAI, (x, a, b, retval)); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2433 return retval; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2434 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2435 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2436 FloatMatrix |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2437 betainc (float x, float a, const FloatMatrix& b) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2438 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2439 octave_idx_type nr = b.rows (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2440 octave_idx_type nc = b.cols (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2441 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2442 FloatMatrix retval (nr, nc); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2443 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2444 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
|
2445 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
|
2446 retval(i,j) = betainc (x, a, b(i,j)); |
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 return retval; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2449 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2450 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2451 FloatMatrix |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2452 betainc (float x, const FloatMatrix& a, float b) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2453 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2454 octave_idx_type nr = a.rows (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2455 octave_idx_type nc = a.cols (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2456 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2457 FloatMatrix retval (nr, nc); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2458 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2459 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
|
2460 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
|
2461 retval(i,j) = betainc (x, a(i,j), b); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2462 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2463 return retval; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2464 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2465 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2466 FloatMatrix |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2467 betainc (float x, const FloatMatrix& a, const FloatMatrix& b) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2468 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2469 FloatMatrix retval; |
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 octave_idx_type a_nr = a.rows (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2472 octave_idx_type a_nc = a.cols (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2473 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2474 octave_idx_type b_nr = b.rows (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2475 octave_idx_type b_nc = b.cols (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2476 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2477 if (a_nr == b_nr && a_nc == b_nc) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2478 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2479 retval.resize (a_nr, a_nc); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2480 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2481 for (octave_idx_type j = 0; j < a_nc; j++) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2482 for (octave_idx_type i = 0; i < a_nr; i++) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2483 retval(i,j) = betainc (x, a(i,j), b(i,j)); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2484 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2485 else |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2486 gripe_betainc_nonconformant (1, 1, a_nr, a_nc, b_nr, b_nc); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2487 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2488 return retval; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2489 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2490 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2491 FloatNDArray |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2492 betainc (float x, float a, const FloatNDArray& b) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2493 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2494 dim_vector dv = b.dims (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2495 octave_idx_type nel = dv.numel (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2496 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2497 FloatNDArray retval (dv); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2498 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2499 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
|
2500 retval (i) = betainc (x, a, b(i)); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2501 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2502 return retval; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2503 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2504 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2505 FloatNDArray |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2506 betainc (float x, const FloatNDArray& a, float b) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2507 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2508 dim_vector dv = a.dims (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2509 octave_idx_type nel = dv.numel (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2510 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2511 FloatNDArray retval (dv); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2512 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2513 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
|
2514 retval (i) = betainc (x, a(i), b); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2515 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2516 return retval; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2517 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2518 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2519 FloatNDArray |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2520 betainc (float x, const FloatNDArray& a, const FloatNDArray& b) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2521 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2522 FloatNDArray retval; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2523 dim_vector dv = a.dims (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2524 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2525 if (dv == b.dims ()) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2526 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2527 octave_idx_type nel = dv.numel (); |
4844 | 2528 |
2529 retval.resize (dv); | |
2530 | |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2531 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
|
2532 retval (i) = betainc (x, a(i), b(i)); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2533 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2534 else |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2535 gripe_betainc_nonconformant (dim_vector (0), dv, b.dims ()); |
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 return retval; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2538 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2539 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2540 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2541 FloatMatrix |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2542 betainc (const FloatMatrix& x, float a, float b) |
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 octave_idx_type nr = x.rows (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2545 octave_idx_type nc = x.cols (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2546 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2547 FloatMatrix retval (nr, nc); |
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 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
|
2550 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
|
2551 retval(i,j) = betainc (x(i,j), a, b); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2552 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2553 return retval; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2554 } |
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 FloatMatrix |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2557 betainc (const FloatMatrix& x, float a, const FloatMatrix& b) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2558 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2559 FloatMatrix retval; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2560 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2561 octave_idx_type nr = x.rows (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2562 octave_idx_type nc = x.cols (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2563 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2564 octave_idx_type b_nr = b.rows (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2565 octave_idx_type b_nc = b.cols (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2566 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2567 if (nr == b_nr && nc == b_nc) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2568 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2569 retval.resize (nr, nc); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2570 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2571 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
|
2572 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
|
2573 retval(i,j) = betainc (x(i,j), a, b(i,j)); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2574 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2575 else |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2576 gripe_betainc_nonconformant (nr, nc, 1, 1, b_nr, b_nc); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2577 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2578 return retval; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2579 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2580 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2581 FloatMatrix |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2582 betainc (const FloatMatrix& x, const FloatMatrix& a, float b) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2583 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2584 FloatMatrix retval; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2585 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2586 octave_idx_type nr = x.rows (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2587 octave_idx_type nc = x.cols (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2588 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2589 octave_idx_type a_nr = a.rows (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2590 octave_idx_type a_nc = a.cols (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2591 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2592 if (nr == a_nr && nc == a_nc) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2593 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2594 retval.resize (nr, nc); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2595 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2596 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
|
2597 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
|
2598 retval(i,j) = betainc (x(i,j), a(i,j), b); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2599 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2600 else |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2601 gripe_betainc_nonconformant (nr, nc, a_nr, a_nc, 1, 1); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2602 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2603 return retval; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2604 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2605 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2606 FloatMatrix |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2607 betainc (const FloatMatrix& x, const FloatMatrix& a, const FloatMatrix& b) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2608 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2609 FloatMatrix retval; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2610 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2611 octave_idx_type nr = x.rows (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2612 octave_idx_type nc = x.cols (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2613 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2614 octave_idx_type a_nr = a.rows (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2615 octave_idx_type a_nc = a.cols (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2616 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2617 octave_idx_type b_nr = b.rows (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2618 octave_idx_type b_nc = b.cols (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2619 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2620 if (nr == a_nr && nr == b_nr && nc == a_nc && nc == b_nc) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2621 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2622 retval.resize (nr, nc); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2623 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2624 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
|
2625 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
|
2626 retval(i,j) = betainc (x(i,j), a(i,j), b(i,j)); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2627 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2628 else |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2629 gripe_betainc_nonconformant (nr, nc, a_nr, a_nc, b_nr, b_nc); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2630 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2631 return retval; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2632 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2633 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2634 FloatNDArray |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2635 betainc (const FloatNDArray& x, float a, float b) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2636 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2637 dim_vector dv = x.dims (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2638 octave_idx_type nel = dv.numel (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2639 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2640 FloatNDArray retval (dv); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2641 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2642 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
|
2643 retval (i) = betainc (x(i), a, b); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2644 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2645 return retval; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2646 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2647 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2648 FloatNDArray |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2649 betainc (const FloatNDArray& x, float a, const FloatNDArray& b) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2650 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2651 FloatNDArray retval; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2652 dim_vector dv = x.dims (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2653 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2654 if (dv == b.dims ()) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2655 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2656 octave_idx_type nel = dv.numel (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2657 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2658 retval.resize (dv); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2659 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2660 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
|
2661 retval (i) = betainc (x(i), a, b(i)); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2662 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2663 else |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2664 gripe_betainc_nonconformant (dv, dim_vector (0), b.dims ()); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2665 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2666 return retval; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2667 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2668 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2669 FloatNDArray |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2670 betainc (const FloatNDArray& x, const FloatNDArray& a, float b) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2671 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2672 FloatNDArray retval; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2673 dim_vector dv = x.dims (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2674 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2675 if (dv == a.dims ()) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2676 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2677 octave_idx_type nel = dv.numel (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2678 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2679 retval.resize (dv); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2680 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2681 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
|
2682 retval (i) = betainc (x(i), a(i), b); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2683 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2684 else |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2685 gripe_betainc_nonconformant (dv, a.dims (), dim_vector (0)); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2686 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2687 return retval; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2688 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2689 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2690 FloatNDArray |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2691 betainc (const FloatNDArray& x, const FloatNDArray& a, const FloatNDArray& b) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2692 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2693 FloatNDArray retval; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2694 dim_vector dv = x.dims (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2695 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2696 if (dv == a.dims () && dv == b.dims ()) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2697 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2698 octave_idx_type nel = dv.numel (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2699 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2700 retval.resize (dv); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2701 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2702 for (octave_idx_type i = 0; i < nel; i++) |
4844 | 2703 retval (i) = betainc (x(i), a(i), b(i)); |
2704 } | |
2705 else | |
2706 gripe_betainc_nonconformant (dv, a.dims (), b.dims ()); | |
2707 | |
2708 return retval; | |
2709 } | |
2710 | |
5775 | 2711 // FIXME -- there is still room for improvement here... |
3164 | 2712 |
3146 | 2713 double |
4004 | 2714 gammainc (double x, double a, bool& err) |
3146 | 2715 { |
2716 double retval; | |
3164 | 2717 |
4004 | 2718 err = false; |
3164 | 2719 |
4004 | 2720 if (a < 0.0 || x < 0.0) |
2721 { | |
2722 (*current_liboctave_error_handler) | |
2723 ("gammainc: A and X must be non-negative"); | |
2724 | |
2725 err = true; | |
2726 } | |
2727 else | |
5278 | 2728 F77_XFCN (xgammainc, XGAMMAINC, (a, x, retval)); |
3164 | 2729 |
3146 | 2730 return retval; |
2731 } | |
2732 | |
2733 Matrix | |
2734 gammainc (double x, const Matrix& a) | |
2735 { | |
5275 | 2736 octave_idx_type nr = a.rows (); |
2737 octave_idx_type nc = a.cols (); | |
3146 | 2738 |
4004 | 2739 Matrix result (nr, nc); |
2740 Matrix retval; | |
2741 | |
2742 bool err; | |
3146 | 2743 |
5275 | 2744 for (octave_idx_type j = 0; j < nc; j++) |
2745 for (octave_idx_type i = 0; i < nr; i++) | |
4004 | 2746 { |
2747 result(i,j) = gammainc (x, a(i,j), err); | |
2748 | |
2749 if (err) | |
2750 goto done; | |
2751 } | |
2752 | |
2753 retval = result; | |
2754 | |
2755 done: | |
3146 | 2756 |
2757 return retval; | |
2758 } | |
2759 | |
2760 Matrix | |
2761 gammainc (const Matrix& x, double a) | |
2762 { | |
5275 | 2763 octave_idx_type nr = x.rows (); |
2764 octave_idx_type nc = x.cols (); | |
3146 | 2765 |
4004 | 2766 Matrix result (nr, nc); |
2767 Matrix retval; | |
2768 | |
2769 bool err; | |
3146 | 2770 |
5275 | 2771 for (octave_idx_type j = 0; j < nc; j++) |
2772 for (octave_idx_type i = 0; i < nr; i++) | |
4004 | 2773 { |
2774 result(i,j) = gammainc (x(i,j), a, err); | |
2775 | |
2776 if (err) | |
2777 goto done; | |
2778 } | |
2779 | |
2780 retval = result; | |
2781 | |
2782 done: | |
3146 | 2783 |
2784 return retval; | |
2785 } | |
2786 | |
2787 Matrix | |
2788 gammainc (const Matrix& x, const Matrix& a) | |
2789 { | |
4004 | 2790 Matrix result; |
3146 | 2791 Matrix retval; |
2792 | |
5275 | 2793 octave_idx_type nr = x.rows (); |
2794 octave_idx_type nc = x.cols (); | |
3146 | 2795 |
5275 | 2796 octave_idx_type a_nr = a.rows (); |
2797 octave_idx_type a_nc = a.cols (); | |
3146 | 2798 |
2799 if (nr == a_nr && nc == a_nc) | |
2800 { | |
4004 | 2801 result.resize (nr, nc); |
2802 | |
2803 bool err; | |
3146 | 2804 |
5275 | 2805 for (octave_idx_type j = 0; j < nc; j++) |
2806 for (octave_idx_type i = 0; i < nr; i++) | |
4004 | 2807 { |
2808 result(i,j) = gammainc (x(i,j), a(i,j), err); | |
2809 | |
2810 if (err) | |
2811 goto done; | |
2812 } | |
2813 | |
2814 retval = result; | |
3146 | 2815 } |
2816 else | |
2817 (*current_liboctave_error_handler) | |
2818 ("gammainc: nonconformant arguments (arg 1 is %dx%d, arg 2 is %dx%d)", | |
2819 nr, nc, a_nr, a_nc); | |
2820 | |
4004 | 2821 done: |
2822 | |
3146 | 2823 return retval; |
2824 } | |
2825 | |
4844 | 2826 NDArray |
2827 gammainc (double x, const NDArray& a) | |
2828 { | |
2829 dim_vector dv = a.dims (); | |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2830 octave_idx_type nel = dv.numel (); |
4844 | 2831 |
2832 NDArray retval; | |
2833 NDArray result (dv); | |
2834 | |
2835 bool err; | |
2836 | |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2837 for (octave_idx_type i = 0; i < nel; i++) |
4844 | 2838 { |
2839 result (i) = gammainc (x, a(i), err); | |
2840 | |
2841 if (err) | |
2842 goto done; | |
2843 } | |
2844 | |
2845 retval = result; | |
2846 | |
2847 done: | |
2848 | |
2849 return retval; | |
2850 } | |
2851 | |
2852 NDArray | |
2853 gammainc (const NDArray& x, double a) | |
2854 { | |
2855 dim_vector dv = x.dims (); | |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2856 octave_idx_type nel = dv.numel (); |
4844 | 2857 |
2858 NDArray retval; | |
2859 NDArray result (dv); | |
2860 | |
2861 bool err; | |
2862 | |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2863 for (octave_idx_type i = 0; i < nel; i++) |
4844 | 2864 { |
2865 result (i) = gammainc (x(i), a, err); | |
2866 | |
2867 if (err) | |
2868 goto done; | |
2869 } | |
2870 | |
2871 retval = result; | |
2872 | |
2873 done: | |
2874 | |
2875 return retval; | |
2876 } | |
2877 | |
2878 NDArray | |
2879 gammainc (const NDArray& x, const NDArray& a) | |
2880 { | |
2881 dim_vector dv = x.dims (); | |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2882 octave_idx_type nel = dv.numel (); |
4844 | 2883 |
2884 NDArray retval; | |
2885 NDArray result; | |
2886 | |
2887 if (dv == a.dims ()) | |
2888 { | |
2889 result.resize (dv); | |
2890 | |
2891 bool err; | |
2892 | |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2893 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
|
2894 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2895 result (i) = gammainc (x(i), a(i), err); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2896 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2897 if (err) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2898 goto done; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2899 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2900 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2901 retval = result; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2902 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2903 else |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2904 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2905 std::string x_str = dv.str (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2906 std::string a_str = a.dims ().str (); |
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 (*current_liboctave_error_handler) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2909 ("gammainc: nonconformant arguments (arg 1 is %s, arg 2 is %s)", |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2910 x_str.c_str (), a_str. c_str ()); |
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 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2913 done: |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2914 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2915 return retval; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2916 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2917 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2918 float |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2919 gammainc (float x, float a, bool& err) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2920 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2921 float retval; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2922 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2923 err = false; |
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 if (a < 0.0 || x < 0.0) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2926 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2927 (*current_liboctave_error_handler) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2928 ("gammainc: A and X must be non-negative"); |
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 err = true; |
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 else |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2933 F77_XFCN (xsgammainc, XSGAMMAINC, (a, x, retval)); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2934 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2935 return retval; |
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 FloatMatrix |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2939 gammainc (float x, const FloatMatrix& a) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2940 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2941 octave_idx_type nr = a.rows (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2942 octave_idx_type nc = a.cols (); |
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 FloatMatrix result (nr, nc); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2945 FloatMatrix retval; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2946 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2947 bool err; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2948 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2949 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
|
2950 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
|
2951 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2952 result(i,j) = gammainc (x, a(i,j), err); |
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 (err) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2955 goto done; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2956 } |
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 retval = result; |
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 done: |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2961 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2962 return retval; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2963 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2964 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2965 FloatMatrix |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2966 gammainc (const FloatMatrix& x, float a) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2967 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2968 octave_idx_type nr = x.rows (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2969 octave_idx_type nc = x.cols (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2970 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2971 FloatMatrix result (nr, nc); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2972 FloatMatrix retval; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2973 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2974 bool err; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2975 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2976 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
|
2977 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
|
2978 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2979 result(i,j) = gammainc (x(i,j), a, err); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2980 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2981 if (err) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2982 goto done; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2983 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2984 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2985 retval = result; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2986 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2987 done: |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2988 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2989 return retval; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2990 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2991 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2992 FloatMatrix |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2993 gammainc (const FloatMatrix& x, const FloatMatrix& a) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2994 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2995 FloatMatrix result; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2996 FloatMatrix retval; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2997 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2998 octave_idx_type nr = x.rows (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2999 octave_idx_type nc = x.cols (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
3000 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
3001 octave_idx_type a_nr = a.rows (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
3002 octave_idx_type a_nc = a.cols (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
3003 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
3004 if (nr == a_nr && nc == a_nc) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
3005 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
3006 result.resize (nr, nc); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
3007 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
3008 bool err; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
3009 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
3010 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
|
3011 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
|
3012 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
3013 result(i,j) = gammainc (x(i,j), a(i,j), err); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
3014 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
3015 if (err) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
3016 goto done; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
3017 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
3018 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
3019 retval = result; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
3020 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
3021 else |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
3022 (*current_liboctave_error_handler) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
3023 ("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
|
3024 nr, nc, a_nr, a_nc); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
3025 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
3026 done: |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
3027 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
3028 return retval; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
3029 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
3030 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
3031 FloatNDArray |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
3032 gammainc (float x, const FloatNDArray& a) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
3033 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
3034 dim_vector dv = a.dims (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
3035 octave_idx_type nel = dv.numel (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
3036 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
3037 FloatNDArray retval; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
3038 FloatNDArray result (dv); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
3039 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
3040 bool err; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
3041 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
3042 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
|
3043 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
3044 result (i) = gammainc (x, a(i), err); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
3045 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
3046 if (err) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
3047 goto done; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
3048 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
3049 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
3050 retval = result; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
3051 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
3052 done: |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
3053 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
3054 return retval; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
3055 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
3056 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
3057 FloatNDArray |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
3058 gammainc (const FloatNDArray& x, float a) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
3059 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
3060 dim_vector dv = x.dims (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
3061 octave_idx_type nel = dv.numel (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
3062 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
3063 FloatNDArray retval; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
3064 FloatNDArray result (dv); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
3065 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
3066 bool err; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
3067 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
3068 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
|
3069 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
3070 result (i) = gammainc (x(i), a, err); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
3071 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
3072 if (err) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
3073 goto done; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
3074 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
3075 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
3076 retval = result; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
3077 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
3078 done: |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
3079 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
3080 return retval; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
3081 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
3082 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
3083 FloatNDArray |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
3084 gammainc (const FloatNDArray& x, const FloatNDArray& a) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
3085 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
3086 dim_vector dv = x.dims (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
3087 octave_idx_type nel = dv.numel (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
3088 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
3089 FloatNDArray retval; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
3090 FloatNDArray result; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
3091 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
3092 if (dv == a.dims ()) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
3093 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
3094 result.resize (dv); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
3095 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
3096 bool err; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
3097 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
3098 for (octave_idx_type i = 0; i < nel; i++) |
4844 | 3099 { |
3100 result (i) = gammainc (x(i), a(i), err); | |
3101 | |
3102 if (err) | |
3103 goto done; | |
3104 } | |
3105 | |
3106 retval = result; | |
3107 } | |
3108 else | |
3109 { | |
3110 std::string x_str = dv.str (); | |
3111 std::string a_str = a.dims ().str (); | |
3112 | |
3113 (*current_liboctave_error_handler) | |
3114 ("gammainc: nonconformant arguments (arg 1 is %s, arg 2 is %s)", | |
3115 x_str.c_str (), a_str. c_str ()); | |
3116 } | |
3117 | |
3118 done: | |
3119 | |
3120 return retval; | |
3121 } | |
3122 | |
3146 | 3123 /* |
3124 ;;; Local Variables: *** | |
3125 ;;; mode: C++ *** | |
3126 ;;; End: *** | |
3127 */ |