Mercurial > hg > octave-lyh
annotate liboctave/lo-specfun.cc @ 14138:72c96de7a403 stable
maint: update copyright notices for 2012
author | John W. Eaton <jwe@octave.org> |
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date | Mon, 02 Jan 2012 14:25:41 -0500 |
parents | 12df7854fa7c |
children | 35ce1eab7400 |
rev | line source |
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3146 | 1 /* |
2 | |
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3 Copyright (C) 1996-2012 John W. Eaton |
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4 Copyright (C) 2010 Jaroslav Hajek |
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5 Copyright (C) 2010 VZLU Prague |
3146 | 6 |
7 This file is part of Octave. | |
8 | |
9 Octave is free software; you can redistribute it and/or modify it | |
10 under the terms of the GNU General Public License as published by the | |
7016 | 11 Free Software Foundation; either version 3 of the License, or (at your |
12 option) any later version. | |
3146 | 13 |
14 Octave is distributed in the hope that it will be useful, but WITHOUT | |
15 ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or | |
16 FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License | |
17 for more details. | |
18 | |
19 You should have received a copy of the GNU General Public License | |
7016 | 20 along with Octave; see the file COPYING. If not, see |
21 <http://www.gnu.org/licenses/>. | |
3146 | 22 |
23 */ | |
24 | |
25 #ifdef HAVE_CONFIG_H | |
26 #include <config.h> | |
27 #endif | |
28 | |
29 #include "Range.h" | |
3220 | 30 #include "CColVector.h" |
31 #include "CMatrix.h" | |
32 #include "dRowVector.h" | |
3146 | 33 #include "dMatrix.h" |
4844 | 34 #include "dNDArray.h" |
35 #include "CNDArray.h" | |
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36 #include "fCColVector.h" |
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37 #include "fCMatrix.h" |
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38 #include "fRowVector.h" |
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39 #include "fMatrix.h" |
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40 #include "fNDArray.h" |
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41 #include "fCNDArray.h" |
3146 | 42 #include "f77-fcn.h" |
43 #include "lo-error.h" | |
3220 | 44 #include "lo-ieee.h" |
45 #include "lo-specfun.h" | |
3146 | 46 #include "mx-inlines.cc" |
5701 | 47 #include "lo-mappers.h" |
3146 | 48 |
4064 | 49 #ifndef M_PI |
50 #define M_PI 3.14159265358979323846 | |
51 #endif | |
52 | |
3146 | 53 extern "C" |
54 { | |
4552 | 55 F77_RET_T |
56 F77_FUNC (zbesj, ZBESJ) (const double&, const double&, const double&, | |
11518 | 57 const octave_idx_type&, const octave_idx_type&, |
58 double*, double*, octave_idx_type&, | |
59 octave_idx_type&); | |
3146 | 60 |
4552 | 61 F77_RET_T |
62 F77_FUNC (zbesy, ZBESY) (const double&, const double&, const double&, | |
11518 | 63 const octave_idx_type&, const octave_idx_type&, |
64 double*, double*, octave_idx_type&, double*, | |
65 double*, octave_idx_type&); | |
3220 | 66 |
4552 | 67 F77_RET_T |
68 F77_FUNC (zbesi, ZBESI) (const double&, const double&, const double&, | |
11518 | 69 const octave_idx_type&, const octave_idx_type&, |
70 double*, double*, octave_idx_type&, | |
71 octave_idx_type&); | |
3146 | 72 |
4552 | 73 F77_RET_T |
74 F77_FUNC (zbesk, ZBESK) (const double&, const double&, const double&, | |
11518 | 75 const octave_idx_type&, const octave_idx_type&, |
76 double*, double*, octave_idx_type&, | |
77 octave_idx_type&); | |
3220 | 78 |
4552 | 79 F77_RET_T |
80 F77_FUNC (zbesh, ZBESH) (const double&, const double&, const double&, | |
11518 | 81 const octave_idx_type&, const octave_idx_type&, |
82 const octave_idx_type&, double*, double*, | |
83 octave_idx_type&, octave_idx_type&); | |
4552 | 84 |
85 F77_RET_T | |
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86 F77_FUNC (cbesj, cBESJ) (const FloatComplex&, const float&, |
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87 const octave_idx_type&, const octave_idx_type&, |
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88 FloatComplex*, octave_idx_type&, octave_idx_type&); |
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89 |
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90 F77_RET_T |
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91 F77_FUNC (cbesy, CBESY) (const FloatComplex&, const float&, |
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92 const octave_idx_type&, const octave_idx_type&, |
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93 FloatComplex*, octave_idx_type&, |
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94 FloatComplex*, octave_idx_type&); |
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95 |
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96 F77_RET_T |
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97 F77_FUNC (cbesi, CBESI) (const FloatComplex&, const float&, |
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98 const octave_idx_type&, const octave_idx_type&, |
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99 FloatComplex*, octave_idx_type&, octave_idx_type&); |
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100 |
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101 F77_RET_T |
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102 F77_FUNC (cbesk, CBESK) (const FloatComplex&, const float&, |
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103 const octave_idx_type&, const octave_idx_type&, |
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104 FloatComplex*, octave_idx_type&, octave_idx_type&); |
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105 |
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106 F77_RET_T |
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107 F77_FUNC (cbesh, CBESH) (const FloatComplex&, const float&, |
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108 const octave_idx_type&, const octave_idx_type&, |
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109 const octave_idx_type&, FloatComplex*, |
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110 octave_idx_type&, octave_idx_type&); |
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111 |
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112 F77_RET_T |
11518 | 113 F77_FUNC (zairy, ZAIRY) (const double&, const double&, |
114 const octave_idx_type&, const octave_idx_type&, | |
115 double&, double&, octave_idx_type&, | |
116 octave_idx_type&); | |
3146 | 117 |
4552 | 118 F77_RET_T |
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119 F77_FUNC (cairy, CAIRY) (const float&, const float&, const octave_idx_type&, |
11518 | 120 const octave_idx_type&, float&, float&, |
121 octave_idx_type&, octave_idx_type&); | |
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122 |
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123 F77_RET_T |
11518 | 124 F77_FUNC (zbiry, ZBIRY) (const double&, const double&, |
125 const octave_idx_type&, const octave_idx_type&, | |
126 double&, double&, octave_idx_type&); | |
4552 | 127 |
128 F77_RET_T | |
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129 F77_FUNC (cbiry, CBIRY) (const float&, const float&, const octave_idx_type&, |
11518 | 130 const octave_idx_type&, float&, float&, |
131 octave_idx_type&); | |
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132 |
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133 F77_RET_T |
4552 | 134 F77_FUNC (xdacosh, XDACOSH) (const double&, double&); |
3220 | 135 |
4552 | 136 F77_RET_T |
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137 F77_FUNC (xacosh, XACOSH) (const float&, float&); |
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138 |
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139 F77_RET_T |
4552 | 140 F77_FUNC (xdasinh, XDASINH) (const double&, double&); |
3146 | 141 |
4552 | 142 F77_RET_T |
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143 F77_FUNC (xasinh, XASINH) (const float&, float&); |
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144 |
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145 F77_RET_T |
4552 | 146 F77_FUNC (xdatanh, XDATANH) (const double&, double&); |
3146 | 147 |
4552 | 148 F77_RET_T |
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149 F77_FUNC (xatanh, XATANH) (const float&, float&); |
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150 |
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151 F77_RET_T |
4552 | 152 F77_FUNC (xderf, XDERF) (const double&, double&); |
3146 | 153 |
4552 | 154 F77_RET_T |
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155 F77_FUNC (xerf, XERF) (const float&, float&); |
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156 |
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157 F77_RET_T |
4552 | 158 F77_FUNC (xderfc, XDERFC) (const double&, double&); |
3146 | 159 |
4552 | 160 F77_RET_T |
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161 F77_FUNC (xerfc, XERFC) (const float&, float&); |
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162 |
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163 F77_RET_T |
4552 | 164 F77_FUNC (xdbetai, XDBETAI) (const double&, const double&, |
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165 const double&, double&); |
3146 | 166 |
4552 | 167 F77_RET_T |
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168 F77_FUNC (xbetai, XBETAI) (const float&, const float&, |
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169 const float&, float&); |
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170 |
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171 F77_RET_T |
4552 | 172 F77_FUNC (xdgamma, XDGAMMA) (const double&, double&); |
3146 | 173 |
4552 | 174 F77_RET_T |
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175 F77_FUNC (xgamma, XGAMMA) (const float&, float&); |
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176 |
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177 F77_RET_T |
4552 | 178 F77_FUNC (xgammainc, XGAMMAINC) (const double&, const double&, double&); |
3146 | 179 |
4552 | 180 F77_RET_T |
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181 F77_FUNC (xsgammainc, XSGAMMAINC) (const float&, const float&, float&); |
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182 |
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183 F77_RET_T |
4552 | 184 F77_FUNC (dlgams, DLGAMS) (const double&, double&, double&); |
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185 |
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186 F77_RET_T |
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187 F77_FUNC (algams, ALGAMS) (const float&, float&, float&); |
3146 | 188 } |
189 | |
190 #if !defined (HAVE_ACOSH) | |
191 double | |
192 acosh (double x) | |
193 { | |
194 double retval; | |
5278 | 195 F77_XFCN (xdacosh, XDACOSH, (x, retval)); |
3146 | 196 return retval; |
197 } | |
198 #endif | |
199 | |
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200 #if !defined (HAVE_ACOSHF) |
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201 float |
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202 acoshf (float x) |
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203 { |
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204 float retval; |
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205 F77_XFCN (xacosh, XACOSH, (x, retval)); |
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206 return retval; |
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207 } |
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208 #endif |
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209 |
3146 | 210 #if !defined (HAVE_ASINH) |
211 double | |
212 asinh (double x) | |
213 { | |
214 double retval; | |
5278 | 215 F77_XFCN (xdasinh, XDASINH, (x, retval)); |
3146 | 216 return retval; |
217 } | |
218 #endif | |
219 | |
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220 #if !defined (HAVE_ASINHF) |
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221 float |
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222 asinhf (float x) |
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223 { |
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224 float retval; |
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225 F77_XFCN (xasinh, XASINH, (x, retval)); |
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226 return retval; |
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227 } |
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228 #endif |
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229 |
3146 | 230 #if !defined (HAVE_ATANH) |
231 double | |
232 atanh (double x) | |
233 { | |
234 double retval; | |
5278 | 235 F77_XFCN (xdatanh, XDATANH, (x, retval)); |
3146 | 236 return retval; |
237 } | |
238 #endif | |
239 | |
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240 #if !defined (HAVE_ATANHF) |
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241 float |
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242 atanhf (float x) |
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243 { |
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244 float retval; |
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245 F77_XFCN (xatanh, XATANH, (x, retval)); |
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246 return retval; |
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247 } |
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248 #endif |
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249 |
3146 | 250 #if !defined (HAVE_ERF) |
251 double | |
252 erf (double x) | |
253 { | |
254 double retval; | |
5278 | 255 F77_XFCN (xderf, XDERF, (x, retval)); |
3146 | 256 return retval; |
257 } | |
258 #endif | |
259 | |
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260 #if !defined (HAVE_ERFF) |
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261 float |
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262 erff (float x) |
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263 { |
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264 float retval; |
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265 F77_XFCN (xerf, XERF, (x, retval)); |
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266 return retval; |
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267 } |
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268 #endif |
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269 |
3146 | 270 #if !defined (HAVE_ERFC) |
271 double | |
272 erfc (double x) | |
273 { | |
274 double retval; | |
5278 | 275 F77_XFCN (xderfc, XDERFC, (x, retval)); |
3146 | 276 return retval; |
277 } | |
278 #endif | |
279 | |
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280 #if !defined (HAVE_ERFCF) |
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281 float |
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282 erfcf (float x) |
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283 { |
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284 float retval; |
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285 F77_XFCN (xerfc, XERFC, (x, retval)); |
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286 return retval; |
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287 } |
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288 #endif |
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289 |
3146 | 290 double |
3156 | 291 xgamma (double x) |
3146 | 292 { |
3156 | 293 double result; |
5701 | 294 |
295 if (xisnan (x)) | |
296 result = x; | |
297 else if ((x <= 0 && D_NINT (x) == x) || xisinf (x)) | |
298 result = octave_Inf; | |
299 else | |
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300 #if defined (HAVE_TGAMMA) |
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301 result = tgamma (x); |
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302 #else |
5701 | 303 F77_XFCN (xdgamma, XDGAMMA, (x, result)); |
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304 #endif |
6969 | 305 |
3156 | 306 return result; |
3146 | 307 } |
308 | |
309 double | |
3156 | 310 xlgamma (double x) |
3146 | 311 { |
6969 | 312 #if defined (HAVE_LGAMMA) |
313 return lgamma (x); | |
314 #else | |
3156 | 315 double result; |
3146 | 316 double sgngam; |
4497 | 317 |
5701 | 318 if (xisnan (x)) |
319 result = x; | |
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320 else if ((x <= 0 && D_NINT (x) == x) || xisinf (x)) |
5701 | 321 result = octave_Inf; |
5700 | 322 else |
323 F77_XFCN (dlgams, DLGAMS, (x, result, sgngam)); | |
4497 | 324 |
3156 | 325 return result; |
6969 | 326 #endif |
6961 | 327 } |
328 | |
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329 Complex |
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330 rc_lgamma (double x) |
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331 { |
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332 double result; |
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333 |
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334 #if defined (HAVE_LGAMMA_R) |
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335 int sgngam; |
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336 result = lgamma_r (x, &sgngam); |
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337 #else |
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338 double sgngam; |
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339 |
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340 if (xisnan (x)) |
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341 result = x; |
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342 else if ((x <= 0 && D_NINT (x) == x) || xisinf (x)) |
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343 result = octave_Inf; |
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344 else |
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345 F77_XFCN (dlgams, DLGAMS, (x, result, sgngam)); |
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346 |
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347 #endif |
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348 |
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349 if (sgngam < 0) |
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350 return result + Complex (0., M_PI); |
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351 else |
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352 return result; |
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353 } |
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354 |
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355 float |
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356 xgamma (float x) |
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357 { |
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358 float result; |
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359 |
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360 if (xisnan (x)) |
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361 result = x; |
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362 else if ((x <= 0 && D_NINT (x) == x) || xisinf (x)) |
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363 result = octave_Float_Inf; |
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364 else |
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365 #if defined (HAVE_TGAMMAF) |
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366 result = tgammaf (x); |
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367 #else |
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368 F77_XFCN (xgamma, XGAMMA, (x, result)); |
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369 #endif |
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370 |
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371 return result; |
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372 } |
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373 |
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374 float |
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375 xlgamma (float x) |
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376 { |
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377 #if defined (HAVE_LGAMMAF) |
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378 return lgammaf (x); |
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379 #else |
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380 float result; |
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381 float sgngam; |
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382 |
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383 if (xisnan (x)) |
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384 result = x; |
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385 else if ((x <= 0 && D_NINT (x) == x) || xisinf (x)) |
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386 result = octave_Float_Inf; |
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387 else |
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388 F77_XFCN (algams, ALGAMS, (x, result, sgngam)); |
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389 |
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390 return result; |
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391 #endif |
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392 } |
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393 |
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394 FloatComplex |
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395 rc_lgamma (float x) |
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396 { |
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397 float result; |
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398 |
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399 #if defined (HAVE_LGAMMAF_R) |
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400 int sgngam; |
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401 result = lgammaf_r (x, &sgngam); |
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402 #else |
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403 float sgngam; |
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404 |
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405 if (xisnan (x)) |
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406 result = x; |
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407 else if ((x <= 0 && D_NINT (x) == x) || xisinf (x)) |
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408 result = octave_Float_Inf; |
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409 else |
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410 F77_XFCN (algams, ALGAMS, (x, result, sgngam)); |
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411 |
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412 #endif |
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413 |
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414 if (sgngam < 0) |
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415 return result + FloatComplex (0., M_PI); |
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416 else |
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|
417 return result; |
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|
418 } |
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419 |
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|
420 #if !defined (HAVE_EXPM1) |
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421 double |
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parents:
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diff
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|
422 expm1 (double x) |
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423 { |
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424 double retval; |
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|
425 |
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426 double ax = fabs (x); |
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|
427 |
2df457529cfa
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428 if (ax < 0.1) |
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|
429 { |
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diff
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|
430 ax /= 16; |
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parents:
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diff
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|
431 |
2df457529cfa
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parents:
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|
432 // use Taylor series to calculate exp(x)-1. |
2df457529cfa
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parents:
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diff
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|
433 double t = ax; |
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strip trailing whitespace from source files
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parents:
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diff
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434 double s = 0; |
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parents:
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|
435 for (int i = 2; i < 7; i++) |
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parents:
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diff
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436 s += (t *= ax/i); |
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parents:
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|
437 s += ax; |
2df457529cfa
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parents:
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diff
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|
438 |
2df457529cfa
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parents:
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diff
changeset
|
439 // use the identity (a+1)^2-1 = a*(a+2) |
2df457529cfa
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parents:
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diff
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|
440 double e = s; |
2df457529cfa
implement expm1 and log1p functions
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parents:
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diff
changeset
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441 for (int i = 0; i < 4; i++) |
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parents:
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diff
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|
442 { |
2df457529cfa
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parents:
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diff
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|
443 s *= e + 2; |
2df457529cfa
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parents:
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diff
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444 e *= e + 2; |
2df457529cfa
implement expm1 and log1p functions
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parents:
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diff
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|
445 } |
2df457529cfa
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diff
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|
446 |
2df457529cfa
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parents:
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diff
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|
447 retval = (x > 0) ? s : -s / (1+s); |
2df457529cfa
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parents:
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|
448 } |
2df457529cfa
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parents:
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diff
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|
449 else |
2df457529cfa
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parents:
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diff
changeset
|
450 retval = exp (x) - 1; |
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parents:
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diff
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|
451 |
2df457529cfa
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parents:
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diff
changeset
|
452 return retval; |
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parents:
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diff
changeset
|
453 } |
2df457529cfa
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parents:
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diff
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|
454 #endif |
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parents:
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diff
changeset
|
455 |
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
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|
456 Complex |
7638
2df457529cfa
implement expm1 and log1p functions
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parents:
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diff
changeset
|
457 expm1(const Complex& x) |
2df457529cfa
implement expm1 and log1p functions
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parents:
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diff
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|
458 { |
2df457529cfa
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parents:
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diff
changeset
|
459 Complex retval; |
2df457529cfa
implement expm1 and log1p functions
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parents:
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diff
changeset
|
460 |
2df457529cfa
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parents:
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diff
changeset
|
461 if (std:: abs (x) < 1) |
2df457529cfa
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parents:
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diff
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|
462 { |
2df457529cfa
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parents:
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diff
changeset
|
463 double im = x.imag(); |
2df457529cfa
implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents:
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diff
changeset
|
464 double u = expm1 (x.real ()); |
2df457529cfa
implement expm1 and log1p functions
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parents:
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diff
changeset
|
465 double v = sin (im/2); |
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implement expm1 and log1p functions
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diff
changeset
|
466 v = -2*v*v; |
2df457529cfa
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parents:
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diff
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|
467 retval = Complex (u*v + u + v, (u+1) * sin (im)); |
2df457529cfa
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parents:
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diff
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|
468 } |
2df457529cfa
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Jaroslav Hajek <highegg@gmail.com>
parents:
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diff
changeset
|
469 else |
2df457529cfa
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diff
changeset
|
470 retval = std::exp (x) - Complex (1); |
2df457529cfa
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parents:
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diff
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|
471 |
2df457529cfa
implement expm1 and log1p functions
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diff
changeset
|
472 return retval; |
2df457529cfa
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parents:
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diff
changeset
|
473 } |
2df457529cfa
implement expm1 and log1p functions
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parents:
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diff
changeset
|
474 |
7789
82be108cc558
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diff
changeset
|
475 #if !defined (HAVE_EXPM1F) |
82be108cc558
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diff
changeset
|
476 float |
82be108cc558
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diff
changeset
|
477 expm1f (float x) |
82be108cc558
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diff
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|
478 { |
82be108cc558
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diff
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|
479 float retval; |
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diff
changeset
|
480 |
82be108cc558
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changeset
|
481 float ax = fabs (x); |
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changeset
|
482 |
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diff
changeset
|
483 if (ax < 0.1) |
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diff
changeset
|
484 { |
82be108cc558
First attempt at single precision tyeps
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diff
changeset
|
485 ax /= 16; |
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diff
changeset
|
486 |
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diff
changeset
|
487 // use Taylor series to calculate exp(x)-1. |
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diff
changeset
|
488 float t = ax; |
11586
12df7854fa7c
strip trailing whitespace from source files
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parents:
11574
diff
changeset
|
489 float s = 0; |
7789
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diff
changeset
|
490 for (int i = 2; i < 7; i++) |
82be108cc558
First attempt at single precision tyeps
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diff
changeset
|
491 s += (t *= ax/i); |
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First attempt at single precision tyeps
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diff
changeset
|
492 s += ax; |
82be108cc558
First attempt at single precision tyeps
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parents:
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diff
changeset
|
493 |
82be108cc558
First attempt at single precision tyeps
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parents:
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diff
changeset
|
494 // use the identity (a+1)^2-1 = a*(a+2) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
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diff
changeset
|
495 float e = s; |
82be108cc558
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David Bateman <dbateman@free.fr>
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diff
changeset
|
496 for (int i = 0; i < 4; i++) |
82be108cc558
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diff
changeset
|
497 { |
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diff
changeset
|
498 s *= e + 2; |
82be108cc558
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diff
changeset
|
499 e *= e + 2; |
82be108cc558
First attempt at single precision tyeps
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parents:
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diff
changeset
|
500 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
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diff
changeset
|
501 |
82be108cc558
First attempt at single precision tyeps
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diff
changeset
|
502 retval = (x > 0) ? s : -s / (1+s); |
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diff
changeset
|
503 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
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diff
changeset
|
504 else |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
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diff
changeset
|
505 retval = exp (x) - 1; |
82be108cc558
First attempt at single precision tyeps
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parents:
7638
diff
changeset
|
506 |
82be108cc558
First attempt at single precision tyeps
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diff
changeset
|
507 return retval; |
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diff
changeset
|
508 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
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diff
changeset
|
509 #endif |
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First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
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diff
changeset
|
510 |
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
511 FloatComplex |
9812
f80c566bc751
improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents:
9732
diff
changeset
|
512 expm1(const FloatComplex& x) |
7789
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diff
changeset
|
513 { |
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First attempt at single precision tyeps
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parents:
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diff
changeset
|
514 FloatComplex retval; |
82be108cc558
First attempt at single precision tyeps
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parents:
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diff
changeset
|
515 |
82be108cc558
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parents:
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diff
changeset
|
516 if (std:: abs (x) < 1) |
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parents:
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diff
changeset
|
517 { |
82be108cc558
First attempt at single precision tyeps
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parents:
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diff
changeset
|
518 float im = x.imag(); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
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diff
changeset
|
519 float u = expm1 (x.real ()); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
520 float v = sin (im/2); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
521 v = -2*v*v; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
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diff
changeset
|
522 retval = FloatComplex (u*v + u + v, (u+1) * sin (im)); |
82be108cc558
First attempt at single precision tyeps
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parents:
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diff
changeset
|
523 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
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diff
changeset
|
524 else |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
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diff
changeset
|
525 retval = std::exp (x) - FloatComplex (1); |
82be108cc558
First attempt at single precision tyeps
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parents:
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diff
changeset
|
526 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
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diff
changeset
|
527 return retval; |
82be108cc558
First attempt at single precision tyeps
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parents:
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diff
changeset
|
528 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
529 |
7638
2df457529cfa
implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7601
diff
changeset
|
530 #if !defined (HAVE_LOG1P) |
2df457529cfa
implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7601
diff
changeset
|
531 double |
2df457529cfa
implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7601
diff
changeset
|
532 log1p (double x) |
2df457529cfa
implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7601
diff
changeset
|
533 { |
2df457529cfa
implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7601
diff
changeset
|
534 double retval; |
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 double ax = fabs (x); |
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 if (ax < 0.2) |
2df457529cfa
implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7601
diff
changeset
|
539 { |
2df457529cfa
implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7601
diff
changeset
|
540 // 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
|
541 double u = x / (2 + x), t = 1, s = 0; |
2df457529cfa
implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7601
diff
changeset
|
542 for (int i = 2; i < 12; i += 2) |
2df457529cfa
implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7601
diff
changeset
|
543 s += (t *= u*u) / (i+1); |
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 retval = 2 * (s + 1) * u; |
2df457529cfa
implement expm1 and log1p functions
Jaroslav Hajek <highegg@gmail.com>
parents:
7601
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546 } |
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547 else |
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548 retval = log (1 + x); |
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549 |
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550 return retval; |
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|
551 } |
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|
552 #endif |
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|
553 |
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554 Complex |
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555 log1p (const Complex& x) |
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556 { |
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557 Complex retval; |
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558 |
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559 double r = x.real (), i = x.imag(); |
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560 |
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561 if (fabs (r) < 0.5 && fabs (i) < 0.5) |
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|
562 { |
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|
563 double u = 2*r + r*r + i*i; |
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|
564 retval = Complex (log1p (u / (1+sqrt (u+1))), |
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565 atan2 (1 + r, i)); |
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|
566 } |
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|
567 else |
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|
568 retval = std::log (Complex(1) + x); |
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|
569 |
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|
570 return retval; |
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|
571 } |
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|
572 |
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573 #if !defined (HAVE_CBRT) |
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|
574 double cbrt (double x) |
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575 { |
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576 static const double one_third = 0.3333333333333333333; |
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577 if (xfinite (x)) |
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578 { |
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|
579 // Use pow. |
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580 double y = std::pow (std::abs (x), one_third) * signum (x); |
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581 // Correct for better accuracy. |
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582 return (x / (y*y) + y + y) / 3; |
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|
583 } |
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584 else |
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585 return x; |
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|
586 } |
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|
587 #endif |
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|
588 |
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589 #if !defined (HAVE_LOG1PF) |
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590 float |
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|
591 log1pf (float x) |
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592 { |
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|
593 float retval; |
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594 |
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|
595 float ax = fabs (x); |
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|
596 |
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|
597 if (ax < 0.2) |
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|
598 { |
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|
599 // use approximation log (1+x) ~ 2*sum ((x/(2+x)).^ii ./ ii), ii = 1:2:2n+1 |
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600 float u = x / (2 + x), t = 1, s = 0; |
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|
601 for (int i = 2; i < 12; i += 2) |
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|
602 s += (t *= u*u) / (i+1); |
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|
603 |
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|
604 retval = 2 * (s + 1) * u; |
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|
605 } |
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|
606 else |
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|
607 retval = log (1 + x); |
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changeset
|
608 |
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|
609 return retval; |
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changeset
|
610 } |
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changeset
|
611 #endif |
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|
612 |
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|
613 FloatComplex |
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9732
diff
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|
614 log1p (const FloatComplex& x) |
7789
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|
615 { |
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|
616 FloatComplex retval; |
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|
617 |
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|
618 float r = x.real (), i = x.imag(); |
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|
619 |
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620 if (fabs (r) < 0.5 && fabs (i) < 0.5) |
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|
621 { |
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|
622 float u = 2*r + r*r + i*i; |
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|
623 retval = FloatComplex (log1p (u / (1+sqrt (u+1))), |
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624 atan2 (1 + r, i)); |
7789
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|
625 } |
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changeset
|
626 else |
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|
627 retval = std::log (FloatComplex(1) + x); |
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changeset
|
628 |
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diff
changeset
|
629 return retval; |
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changeset
|
630 } |
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changeset
|
631 |
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|
632 #if !defined (HAVE_CBRTF) |
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|
633 float cbrtf (float x) |
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|
634 { |
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diff
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|
635 static const float one_third = 0.3333333333333333333f; |
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implement built-in cbrt
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|
636 if (xfinite (x)) |
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|
637 { |
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diff
changeset
|
638 // Use pow. |
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implement built-in cbrt
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diff
changeset
|
639 float y = std::pow (std::abs (x), one_third) * signum (x); |
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diff
changeset
|
640 // Correct for better accuracy. |
2a8b1db1e2ca
implement built-in cbrt
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diff
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|
641 return (x / (y*y) + y + y) / 3; |
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10391
diff
changeset
|
642 } |
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|
643 else |
2a8b1db1e2ca
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diff
changeset
|
644 return x; |
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10391
diff
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|
645 } |
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10391
diff
changeset
|
646 #endif |
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diff
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|
647 |
3220 | 648 static inline Complex |
5275 | 649 zbesj (const Complex& z, double alpha, int kode, octave_idx_type& ierr); |
3220 | 650 |
651 static inline Complex | |
5275 | 652 zbesy (const Complex& z, double alpha, int kode, octave_idx_type& ierr); |
3220 | 653 |
654 static inline Complex | |
5275 | 655 zbesi (const Complex& z, double alpha, int kode, octave_idx_type& ierr); |
3220 | 656 |
657 static inline Complex | |
5275 | 658 zbesk (const Complex& z, double alpha, int kode, octave_idx_type& ierr); |
3220 | 659 |
660 static inline Complex | |
5275 | 661 zbesh1 (const Complex& z, double alpha, int kode, octave_idx_type& ierr); |
3220 | 662 |
663 static inline Complex | |
5275 | 664 zbesh2 (const Complex& z, double alpha, int kode, octave_idx_type& ierr); |
3220 | 665 |
666 static inline Complex | |
5275 | 667 bessel_return_value (const Complex& val, octave_idx_type ierr) |
3146 | 668 { |
3220 | 669 static const Complex inf_val = Complex (octave_Inf, octave_Inf); |
670 static const Complex nan_val = Complex (octave_NaN, octave_NaN); | |
671 | |
672 Complex retval; | |
673 | |
674 switch (ierr) | |
675 { | |
676 case 0: | |
677 case 3: | |
678 retval = val; | |
679 break; | |
680 | |
681 case 2: | |
682 retval = inf_val; | |
683 break; | |
684 | |
685 default: | |
686 retval = nan_val; | |
687 break; | |
688 } | |
689 | |
3146 | 690 return retval; |
691 } | |
692 | |
4911 | 693 static inline bool |
694 is_integer_value (double x) | |
695 { | |
696 return x == static_cast<double> (static_cast<long> (x)); | |
697 } | |
698 | |
3220 | 699 static inline Complex |
5275 | 700 zbesj (const Complex& z, double alpha, int kode, octave_idx_type& ierr) |
3146 | 701 { |
3220 | 702 Complex retval; |
703 | |
704 if (alpha >= 0.0) | |
705 { | |
706 double yr = 0.0; | |
707 double yi = 0.0; | |
708 | |
5275 | 709 octave_idx_type nz; |
3220 | 710 |
711 double zr = z.real (); | |
712 double zi = z.imag (); | |
713 | |
4506 | 714 F77_FUNC (zbesj, ZBESJ) (zr, zi, alpha, 2, 1, &yr, &yi, nz, ierr); |
715 | |
716 if (kode != 2) | |
10314
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changeset
|
717 { |
11586
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11574
diff
changeset
|
718 double expz = exp (std::abs (zi)); |
10314
07ebe522dac2
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diff
changeset
|
719 yr *= expz; |
07ebe522dac2
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John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
720 yi *= expz; |
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John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
721 } |
3220 | 722 |
4490 | 723 if (zi == 0.0 && zr >= 0.0) |
10314
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untabify liboctave C++ sources
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diff
changeset
|
724 yi = 0.0; |
3220 | 725 |
726 retval = bessel_return_value (Complex (yr, yi), ierr); | |
727 } | |
4911 | 728 else if (is_integer_value (alpha)) |
729 { | |
730 // zbesy can overflow as z->0, and cause troubles for generic case below | |
731 alpha = -alpha; | |
732 Complex tmp = zbesj (z, alpha, kode, ierr); | |
11586
12df7854fa7c
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diff
changeset
|
733 if ((static_cast <long> (alpha)) & 1) |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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diff
changeset
|
734 tmp = - tmp; |
4911 | 735 retval = bessel_return_value (tmp, ierr); |
736 } | |
3220 | 737 else |
738 { | |
739 alpha = -alpha; | |
740 | |
741 Complex tmp = cos (M_PI * alpha) * zbesj (z, alpha, kode, ierr); | |
742 | |
743 if (ierr == 0 || ierr == 3) | |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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diff
changeset
|
744 { |
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745 tmp -= sin (M_PI * alpha) * zbesy (z, alpha, kode, ierr); |
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746 |
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747 retval = bessel_return_value (tmp, ierr); |
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748 } |
3220 | 749 else |
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750 retval = Complex (octave_NaN, octave_NaN); |
3220 | 751 } |
752 | |
3146 | 753 return retval; |
754 } | |
755 | |
3220 | 756 static inline Complex |
5275 | 757 zbesy (const Complex& z, double alpha, int kode, octave_idx_type& ierr) |
3146 | 758 { |
3220 | 759 Complex retval; |
3146 | 760 |
761 if (alpha >= 0.0) | |
762 { | |
3220 | 763 double yr = 0.0; |
764 double yi = 0.0; | |
765 | |
5275 | 766 octave_idx_type nz; |
3220 | 767 |
768 double wr, wi; | |
3146 | 769 |
3220 | 770 double zr = z.real (); |
771 double zi = z.imag (); | |
772 | |
773 ierr = 0; | |
774 | |
775 if (zr == 0.0 && zi == 0.0) | |
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776 { |
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777 yr = -octave_Inf; |
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778 yi = 0.0; |
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779 } |
3220 | 780 else |
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781 { |
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782 F77_FUNC (zbesy, ZBESY) (zr, zi, alpha, 2, 1, &yr, &yi, nz, |
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783 &wr, &wi, ierr); |
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784 |
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785 if (kode != 2) |
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786 { |
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787 double expz = exp (std::abs (zi)); |
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788 yr *= expz; |
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789 yi *= expz; |
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790 } |
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791 |
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792 if (zi == 0.0 && zr >= 0.0) |
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793 yi = 0.0; |
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794 } |
3146 | 795 |
3220 | 796 return bessel_return_value (Complex (yr, yi), ierr); |
797 } | |
4911 | 798 else if (is_integer_value (alpha - 0.5)) |
799 { | |
800 // zbesy can overflow as z->0, and cause troubles for generic case below | |
801 alpha = -alpha; | |
802 Complex tmp = zbesj (z, alpha, kode, ierr); | |
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803 if ((static_cast <long> (alpha - 0.5)) & 1) |
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804 tmp = - tmp; |
4911 | 805 retval = bessel_return_value (tmp, ierr); |
806 } | |
3220 | 807 else |
808 { | |
809 alpha = -alpha; | |
3146 | 810 |
3220 | 811 Complex tmp = cos (M_PI * alpha) * zbesy (z, alpha, kode, ierr); |
3146 | 812 |
3220 | 813 if (ierr == 0 || ierr == 3) |
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814 { |
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815 tmp += sin (M_PI * alpha) * zbesj (z, alpha, kode, ierr); |
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816 |
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817 retval = bessel_return_value (tmp, ierr); |
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818 } |
3220 | 819 else |
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820 retval = Complex (octave_NaN, octave_NaN); |
3220 | 821 } |
822 | |
823 return retval; | |
824 } | |
825 | |
826 static inline Complex | |
5275 | 827 zbesi (const Complex& z, double alpha, int kode, octave_idx_type& ierr) |
3220 | 828 { |
829 Complex retval; | |
3146 | 830 |
3220 | 831 if (alpha >= 0.0) |
832 { | |
833 double yr = 0.0; | |
834 double yi = 0.0; | |
835 | |
5275 | 836 octave_idx_type nz; |
3146 | 837 |
3220 | 838 double zr = z.real (); |
839 double zi = z.imag (); | |
840 | |
4506 | 841 F77_FUNC (zbesi, ZBESI) (zr, zi, alpha, 2, 1, &yr, &yi, nz, ierr); |
842 | |
843 if (kode != 2) | |
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844 { |
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845 double expz = exp (std::abs (zr)); |
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846 yr *= expz; |
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847 yi *= expz; |
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848 } |
3146 | 849 |
4490 | 850 if (zi == 0.0 && zr >= 0.0) |
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851 yi = 0.0; |
3220 | 852 |
853 retval = bessel_return_value (Complex (yr, yi), ierr); | |
3146 | 854 } |
855 else | |
3220 | 856 { |
857 alpha = -alpha; | |
858 | |
859 Complex tmp = zbesi (z, alpha, kode, ierr); | |
860 | |
861 if (ierr == 0 || ierr == 3) | |
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862 { |
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863 Complex tmp2 = (2.0 / M_PI) * sin (M_PI * alpha) |
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864 * zbesk (z, alpha, kode, ierr); |
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865 |
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866 if (kode == 2) |
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867 { |
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868 // Compensate for different scaling factor of besk. |
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869 tmp2 *= exp(-z - std::abs(z.real())); |
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870 } |
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871 |
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872 tmp += tmp2; |
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873 |
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874 retval = bessel_return_value (tmp, ierr); |
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875 } |
3220 | 876 else |
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877 retval = Complex (octave_NaN, octave_NaN); |
3220 | 878 } |
879 | |
880 return retval; | |
881 } | |
882 | |
883 static inline Complex | |
5275 | 884 zbesk (const Complex& z, double alpha, int kode, octave_idx_type& ierr) |
3220 | 885 { |
886 Complex retval; | |
887 | |
888 if (alpha >= 0.0) | |
889 { | |
890 double yr = 0.0; | |
891 double yi = 0.0; | |
892 | |
5275 | 893 octave_idx_type nz; |
3220 | 894 |
895 double zr = z.real (); | |
896 double zi = z.imag (); | |
897 | |
898 ierr = 0; | |
899 | |
900 if (zr == 0.0 && zi == 0.0) | |
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901 { |
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902 yr = octave_Inf; |
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903 yi = 0.0; |
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904 } |
3220 | 905 else |
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906 { |
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907 F77_FUNC (zbesk, ZBESK) (zr, zi, alpha, 2, 1, &yr, &yi, nz, ierr); |
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908 |
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909 if (kode != 2) |
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910 { |
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911 Complex expz = exp (-z); |
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912 |
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913 double rexpz = real (expz); |
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914 double iexpz = imag (expz); |
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915 |
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916 double tmp = yr*rexpz - yi*iexpz; |
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917 |
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918 yi = yr*iexpz + yi*rexpz; |
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919 yr = tmp; |
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920 } |
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921 |
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922 if (zi == 0.0 && zr >= 0.0) |
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923 yi = 0.0; |
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924 } |
3220 | 925 |
926 retval = bessel_return_value (Complex (yr, yi), ierr); | |
927 } | |
928 else | |
929 { | |
930 Complex tmp = zbesk (z, -alpha, kode, ierr); | |
931 | |
932 retval = bessel_return_value (tmp, ierr); | |
933 } | |
3146 | 934 |
935 return retval; | |
936 } | |
937 | |
3220 | 938 static inline Complex |
5275 | 939 zbesh1 (const Complex& z, double alpha, int kode, octave_idx_type& ierr) |
3146 | 940 { |
3220 | 941 Complex retval; |
3146 | 942 |
3220 | 943 if (alpha >= 0.0) |
3146 | 944 { |
3220 | 945 double yr = 0.0; |
946 double yi = 0.0; | |
947 | |
5275 | 948 octave_idx_type nz; |
3220 | 949 |
950 double zr = z.real (); | |
951 double zi = z.imag (); | |
3146 | 952 |
4506 | 953 F77_FUNC (zbesh, ZBESH) (zr, zi, alpha, 2, 1, 1, &yr, &yi, nz, ierr); |
954 | |
955 if (kode != 2) | |
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956 { |
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957 Complex expz = exp (Complex (0.0, 1.0) * z); |
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958 |
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959 double rexpz = real (expz); |
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960 double iexpz = imag (expz); |
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961 |
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962 double tmp = yr*rexpz - yi*iexpz; |
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963 |
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964 yi = yr*iexpz + yi*rexpz; |
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965 yr = tmp; |
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966 } |
3146 | 967 |
3220 | 968 retval = bessel_return_value (Complex (yr, yi), ierr); |
969 } | |
970 else | |
971 { | |
972 alpha = -alpha; | |
973 | |
974 static const Complex eye = Complex (0.0, 1.0); | |
3146 | 975 |
3220 | 976 Complex tmp = exp (M_PI * alpha * eye) * zbesh1 (z, alpha, kode, ierr); |
3146 | 977 |
3220 | 978 retval = bessel_return_value (tmp, ierr); |
979 } | |
3146 | 980 |
3220 | 981 return retval; |
982 } | |
3146 | 983 |
3220 | 984 static inline Complex |
5275 | 985 zbesh2 (const Complex& z, double alpha, int kode, octave_idx_type& ierr) |
3220 | 986 { |
987 Complex retval; | |
3146 | 988 |
3220 | 989 if (alpha >= 0.0) |
990 { | |
991 double yr = 0.0; | |
992 double yi = 0.0; | |
993 | |
5275 | 994 octave_idx_type nz; |
3146 | 995 |
3220 | 996 double zr = z.real (); |
997 double zi = z.imag (); | |
3146 | 998 |
4506 | 999 F77_FUNC (zbesh, ZBESH) (zr, zi, alpha, 2, 2, 1, &yr, &yi, nz, ierr); |
1000 | |
1001 if (kode != 2) | |
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1002 { |
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1003 Complex expz = exp (-Complex (0.0, 1.0) * z); |
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1004 |
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1005 double rexpz = real (expz); |
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1006 double iexpz = imag (expz); |
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1007 |
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1008 double tmp = yr*rexpz - yi*iexpz; |
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1009 |
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1010 yi = yr*iexpz + yi*rexpz; |
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1011 yr = tmp; |
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1012 } |
3220 | 1013 |
1014 retval = bessel_return_value (Complex (yr, yi), ierr); | |
3146 | 1015 } |
1016 else | |
3220 | 1017 { |
1018 alpha = -alpha; | |
1019 | |
1020 static const Complex eye = Complex (0.0, 1.0); | |
1021 | |
1022 Complex tmp = exp (-M_PI * alpha * eye) * zbesh2 (z, alpha, kode, ierr); | |
1023 | |
1024 retval = bessel_return_value (tmp, ierr); | |
1025 } | |
1026 | |
1027 return retval; | |
1028 } | |
1029 | |
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1030 typedef Complex (*dptr) (const Complex&, double, int, octave_idx_type&); |
3220 | 1031 |
1032 static inline Complex | |
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1033 do_bessel (dptr f, const char *, double alpha, const Complex& x, |
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1034 bool scaled, octave_idx_type& ierr) |
3220 | 1035 { |
1036 Complex retval; | |
1037 | |
1038 retval = f (x, alpha, (scaled ? 2 : 1), ierr); | |
1039 | |
1040 return retval; | |
1041 } | |
1042 | |
1043 static inline ComplexMatrix | |
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1044 do_bessel (dptr f, const char *, double alpha, const ComplexMatrix& x, |
10352 | 1045 bool scaled, Array<octave_idx_type>& ierr) |
3220 | 1046 { |
5275 | 1047 octave_idx_type nr = x.rows (); |
1048 octave_idx_type nc = x.cols (); | |
3220 | 1049 |
1050 ComplexMatrix retval (nr, nc); | |
1051 | |
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1052 ierr.resize (dim_vector (nr, nc)); |
3220 | 1053 |
5275 | 1054 for (octave_idx_type j = 0; j < nc; j++) |
1055 for (octave_idx_type i = 0; i < nr; i++) | |
3220 | 1056 retval(i,j) = f (x(i,j), alpha, (scaled ? 2 : 1), ierr(i,j)); |
1057 | |
1058 return retval; | |
1059 } | |
1060 | |
1061 static inline ComplexMatrix | |
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1062 do_bessel (dptr f, const char *, const Matrix& alpha, const Complex& x, |
10352 | 1063 bool scaled, Array<octave_idx_type>& ierr) |
3220 | 1064 { |
5275 | 1065 octave_idx_type nr = alpha.rows (); |
1066 octave_idx_type nc = alpha.cols (); | |
3220 | 1067 |
1068 ComplexMatrix retval (nr, nc); | |
1069 | |
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1070 ierr.resize (dim_vector (nr, nc)); |
3220 | 1071 |
5275 | 1072 for (octave_idx_type j = 0; j < nc; j++) |
1073 for (octave_idx_type i = 0; i < nr; i++) | |
3220 | 1074 retval(i,j) = f (x, alpha(i,j), (scaled ? 2 : 1), ierr(i,j)); |
3146 | 1075 |
1076 return retval; | |
1077 } | |
1078 | |
3220 | 1079 static inline ComplexMatrix |
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1080 do_bessel (dptr f, const char *fn, const Matrix& alpha, |
10352 | 1081 const ComplexMatrix& x, bool scaled, Array<octave_idx_type>& ierr) |
3146 | 1082 { |
3220 | 1083 ComplexMatrix retval; |
1084 | |
5275 | 1085 octave_idx_type x_nr = x.rows (); |
1086 octave_idx_type x_nc = x.cols (); | |
3220 | 1087 |
5275 | 1088 octave_idx_type alpha_nr = alpha.rows (); |
1089 octave_idx_type alpha_nc = alpha.cols (); | |
3220 | 1090 |
1091 if (x_nr == alpha_nr && x_nc == alpha_nc) | |
1092 { | |
5275 | 1093 octave_idx_type nr = x_nr; |
1094 octave_idx_type nc = x_nc; | |
3220 | 1095 |
1096 retval.resize (nr, nc); | |
1097 | |
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1098 ierr.resize (dim_vector (nr, nc)); |
3220 | 1099 |
5275 | 1100 for (octave_idx_type j = 0; j < nc; j++) |
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1101 for (octave_idx_type i = 0; i < nr; i++) |
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1102 retval(i,j) = f (x(i,j), alpha(i,j), (scaled ? 2 : 1), ierr(i,j)); |
3220 | 1103 } |
1104 else | |
1105 (*current_liboctave_error_handler) | |
1106 ("%s: the sizes of alpha and x must conform", fn); | |
1107 | |
1108 return retval; | |
3146 | 1109 } |
1110 | |
4844 | 1111 static inline ComplexNDArray |
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1112 do_bessel (dptr f, const char *, double alpha, const ComplexNDArray& x, |
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1113 bool scaled, Array<octave_idx_type>& ierr) |
4844 | 1114 { |
1115 dim_vector dv = x.dims (); | |
5275 | 1116 octave_idx_type nel = dv.numel (); |
4844 | 1117 ComplexNDArray retval (dv); |
1118 | |
1119 ierr.resize (dv); | |
1120 | |
5275 | 1121 for (octave_idx_type i = 0; i < nel; i++) |
4844 | 1122 retval(i) = f (x(i), alpha, (scaled ? 2 : 1), ierr(i)); |
1123 | |
1124 return retval; | |
1125 } | |
1126 | |
1127 static inline ComplexNDArray | |
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1128 do_bessel (dptr f, const char *, const NDArray& alpha, const Complex& x, |
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1129 bool scaled, Array<octave_idx_type>& ierr) |
4844 | 1130 { |
1131 dim_vector dv = alpha.dims (); | |
5275 | 1132 octave_idx_type nel = dv.numel (); |
4844 | 1133 ComplexNDArray retval (dv); |
1134 | |
1135 ierr.resize (dv); | |
1136 | |
5275 | 1137 for (octave_idx_type i = 0; i < nel; i++) |
4844 | 1138 retval(i) = f (x, alpha(i), (scaled ? 2 : 1), ierr(i)); |
1139 | |
1140 return retval; | |
1141 } | |
1142 | |
1143 static inline ComplexNDArray | |
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1144 do_bessel (dptr f, const char *fn, const NDArray& alpha, |
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1145 const ComplexNDArray& x, bool scaled, Array<octave_idx_type>& ierr) |
4844 | 1146 { |
1147 dim_vector dv = x.dims (); | |
1148 ComplexNDArray retval; | |
1149 | |
1150 if (dv == alpha.dims ()) | |
1151 { | |
5275 | 1152 octave_idx_type nel = dv.numel (); |
4844 | 1153 |
1154 retval.resize (dv); | |
1155 ierr.resize (dv); | |
1156 | |
5275 | 1157 for (octave_idx_type i = 0; i < nel; i++) |
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1158 retval(i) = f (x(i), alpha(i), (scaled ? 2 : 1), ierr(i)); |
4844 | 1159 } |
1160 else | |
1161 (*current_liboctave_error_handler) | |
1162 ("%s: the sizes of alpha and x must conform", fn); | |
1163 | |
1164 return retval; | |
1165 } | |
1166 | |
3220 | 1167 static inline ComplexMatrix |
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1168 do_bessel (dptr f, const char *, const RowVector& alpha, |
10352 | 1169 const ComplexColumnVector& x, bool scaled, Array<octave_idx_type>& ierr) |
3146 | 1170 { |
5275 | 1171 octave_idx_type nr = x.length (); |
1172 octave_idx_type nc = alpha.length (); | |
3220 | 1173 |
1174 ComplexMatrix retval (nr, nc); | |
3146 | 1175 |
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1176 ierr.resize (dim_vector (nr, nc)); |
3220 | 1177 |
5275 | 1178 for (octave_idx_type j = 0; j < nc; j++) |
1179 for (octave_idx_type i = 0; i < nr; i++) | |
3220 | 1180 retval(i,j) = f (x(i), alpha(j), (scaled ? 2 : 1), ierr(i,j)); |
1181 | |
1182 return retval; | |
3146 | 1183 } |
1184 | |
3220 | 1185 #define SS_BESSEL(name, fcn) \ |
1186 Complex \ | |
5275 | 1187 name (double alpha, const Complex& x, bool scaled, octave_idx_type& ierr) \ |
3220 | 1188 { \ |
1189 return do_bessel (fcn, #name, alpha, x, scaled, ierr); \ | |
1190 } | |
1191 | |
1192 #define SM_BESSEL(name, fcn) \ | |
1193 ComplexMatrix \ | |
1194 name (double alpha, const ComplexMatrix& x, bool scaled, \ | |
10352 | 1195 Array<octave_idx_type>& ierr) \ |
3220 | 1196 { \ |
1197 return do_bessel (fcn, #name, alpha, x, scaled, ierr); \ | |
1198 } | |
1199 | |
1200 #define MS_BESSEL(name, fcn) \ | |
1201 ComplexMatrix \ | |
1202 name (const Matrix& alpha, const Complex& x, bool scaled, \ | |
10352 | 1203 Array<octave_idx_type>& ierr) \ |
3220 | 1204 { \ |
1205 return do_bessel (fcn, #name, alpha, x, scaled, ierr); \ | |
1206 } | |
1207 | |
1208 #define MM_BESSEL(name, fcn) \ | |
1209 ComplexMatrix \ | |
1210 name (const Matrix& alpha, const ComplexMatrix& x, bool scaled, \ | |
10352 | 1211 Array<octave_idx_type>& ierr) \ |
3220 | 1212 { \ |
1213 return do_bessel (fcn, #name, alpha, x, scaled, ierr); \ | |
1214 } | |
1215 | |
4844 | 1216 #define SN_BESSEL(name, fcn) \ |
1217 ComplexNDArray \ | |
1218 name (double alpha, const ComplexNDArray& x, bool scaled, \ | |
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1219 Array<octave_idx_type>& ierr) \ |
4844 | 1220 { \ |
1221 return do_bessel (fcn, #name, alpha, x, scaled, ierr); \ | |
1222 } | |
1223 | |
1224 #define NS_BESSEL(name, fcn) \ | |
1225 ComplexNDArray \ | |
1226 name (const NDArray& alpha, const Complex& x, bool scaled, \ | |
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1227 Array<octave_idx_type>& ierr) \ |
4844 | 1228 { \ |
1229 return do_bessel (fcn, #name, alpha, x, scaled, ierr); \ | |
1230 } | |
1231 | |
1232 #define NN_BESSEL(name, fcn) \ | |
1233 ComplexNDArray \ | |
1234 name (const NDArray& alpha, const ComplexNDArray& x, bool scaled, \ | |
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1235 Array<octave_idx_type>& ierr) \ |
4844 | 1236 { \ |
1237 return do_bessel (fcn, #name, alpha, x, scaled, ierr); \ | |
1238 } | |
1239 | |
3220 | 1240 #define RC_BESSEL(name, fcn) \ |
1241 ComplexMatrix \ | |
1242 name (const RowVector& alpha, const ComplexColumnVector& x, bool scaled, \ | |
10352 | 1243 Array<octave_idx_type>& ierr) \ |
3220 | 1244 { \ |
1245 return do_bessel (fcn, #name, alpha, x, scaled, ierr); \ | |
1246 } | |
1247 | |
1248 #define ALL_BESSEL(name, fcn) \ | |
1249 SS_BESSEL (name, fcn) \ | |
1250 SM_BESSEL (name, fcn) \ | |
1251 MS_BESSEL (name, fcn) \ | |
1252 MM_BESSEL (name, fcn) \ | |
4844 | 1253 SN_BESSEL (name, fcn) \ |
1254 NS_BESSEL (name, fcn) \ | |
1255 NN_BESSEL (name, fcn) \ | |
3220 | 1256 RC_BESSEL (name, fcn) |
1257 | |
1258 ALL_BESSEL (besselj, zbesj) | |
1259 ALL_BESSEL (bessely, zbesy) | |
1260 ALL_BESSEL (besseli, zbesi) | |
1261 ALL_BESSEL (besselk, zbesk) | |
1262 ALL_BESSEL (besselh1, zbesh1) | |
1263 ALL_BESSEL (besselh2, zbesh2) | |
1264 | |
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1265 #undef ALL_BESSEL |
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1266 #undef SS_BESSEL |
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1267 #undef SM_BESSEL |
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1268 #undef MS_BESSEL |
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1269 #undef MM_BESSEL |
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1270 #undef SN_BESSEL |
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1271 #undef NS_BESSEL |
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1272 #undef NN_BESSEL |
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1273 #undef RC_BESSEL |
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1274 |
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1275 static inline FloatComplex |
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1276 cbesj (const FloatComplex& z, float alpha, int kode, octave_idx_type& ierr); |
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1277 |
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1278 static inline FloatComplex |
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1279 cbesy (const FloatComplex& z, float alpha, int kode, octave_idx_type& ierr); |
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1280 |
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1281 static inline FloatComplex |
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1282 cbesi (const FloatComplex& z, float alpha, int kode, octave_idx_type& ierr); |
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1283 |
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1284 static inline FloatComplex |
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1285 cbesk (const FloatComplex& z, float alpha, int kode, octave_idx_type& ierr); |
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1286 |
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1287 static inline FloatComplex |
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1288 cbesh1 (const FloatComplex& z, float alpha, int kode, octave_idx_type& ierr); |
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1289 |
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1290 static inline FloatComplex |
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1291 cbesh2 (const FloatComplex& z, float alpha, int kode, octave_idx_type& ierr); |
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1292 |
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1293 static inline FloatComplex |
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1294 bessel_return_value (const FloatComplex& val, octave_idx_type ierr) |
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1295 { |
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1296 static const FloatComplex inf_val = FloatComplex (octave_Float_Inf, octave_Float_Inf); |
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1297 static const FloatComplex nan_val = FloatComplex (octave_Float_NaN, octave_Float_NaN); |
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1298 |
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1299 FloatComplex retval; |
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1300 |
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1301 switch (ierr) |
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1302 { |
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1303 case 0: |
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1304 case 3: |
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1305 retval = val; |
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1306 break; |
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1307 |
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1308 case 2: |
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1309 retval = inf_val; |
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First attempt at single precision tyeps
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|
1310 break; |
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First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
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changeset
|
1311 |
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First attempt at single precision tyeps
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changeset
|
1312 default: |
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|
1313 retval = nan_val; |
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David Bateman <dbateman@free.fr>
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changeset
|
1314 break; |
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changeset
|
1315 } |
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changeset
|
1316 |
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changeset
|
1317 return retval; |
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changeset
|
1318 } |
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changeset
|
1319 |
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First attempt at single precision tyeps
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diff
changeset
|
1320 static inline bool |
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diff
changeset
|
1321 is_integer_value (float x) |
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|
1322 { |
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|
1323 return x == static_cast<float> (static_cast<long> (x)); |
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|
1324 } |
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changeset
|
1325 |
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changeset
|
1326 static inline FloatComplex |
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changeset
|
1327 cbesj (const FloatComplex& z, float alpha, int kode, octave_idx_type& ierr) |
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|
1328 { |
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diff
changeset
|
1329 FloatComplex retval; |
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changeset
|
1330 |
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|
1331 if (alpha >= 0.0) |
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|
1332 { |
8279
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lo-specfun.cc: fix prototypes and calls to cbes{h,i,j,k,y} subroutines
John W. Eaton <jwe@octave.org>
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|
1333 FloatComplex y = 0.0; |
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changeset
|
1334 |
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|
1335 octave_idx_type nz; |
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|
1336 |
8279
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lo-specfun.cc: fix prototypes and calls to cbes{h,i,j,k,y} subroutines
John W. Eaton <jwe@octave.org>
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|
1337 F77_FUNC (cbesj, CBESJ) (z, alpha, 2, 1, &y, nz, ierr); |
7789
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|
1338 |
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|
1339 if (kode != 2) |
10314
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|
1340 { |
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untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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|
1341 float expz = exp (std::abs (imag (z))); |
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untabify liboctave C++ sources
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changeset
|
1342 y *= expz; |
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untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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|
1343 } |
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|
1344 |
8279
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lo-specfun.cc: fix prototypes and calls to cbes{h,i,j,k,y} subroutines
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|
1345 if (imag (z) == 0.0 && real (z) >= 0.0) |
10314
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untabify liboctave C++ sources
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changeset
|
1346 y = FloatComplex (y.real (), 0.0); |
8279
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lo-specfun.cc: fix prototypes and calls to cbes{h,i,j,k,y} subroutines
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|
1347 |
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lo-specfun.cc: fix prototypes and calls to cbes{h,i,j,k,y} subroutines
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|
1348 retval = bessel_return_value (y, ierr); |
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|
1349 } |
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|
1350 else if (is_integer_value (alpha)) |
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|
1351 { |
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changeset
|
1352 // zbesy can overflow as z->0, and cause troubles for generic case below |
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|
1353 alpha = -alpha; |
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|
1354 FloatComplex tmp = cbesj (z, alpha, kode, ierr); |
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strip trailing whitespace from source files
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|
1355 if ((static_cast <long> (alpha)) & 1) |
10314
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untabify liboctave C++ sources
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|
1356 tmp = - tmp; |
7789
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|
1357 retval = bessel_return_value (tmp, ierr); |
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|
1358 } |
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changeset
|
1359 else |
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changeset
|
1360 { |
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changeset
|
1361 alpha = -alpha; |
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changeset
|
1362 |
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|
1363 FloatComplex tmp = cosf (static_cast<float> (M_PI) * alpha) * cbesj (z, alpha, kode, ierr); |
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|
1364 |
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|
1365 if (ierr == 0 || ierr == 3) |
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|
1366 { |
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untabify liboctave C++ sources
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|
1367 tmp -= sinf (static_cast<float> (M_PI) * alpha) * cbesy (z, alpha, kode, ierr); |
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untabify liboctave C++ sources
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|
1368 |
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untabify liboctave C++ sources
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changeset
|
1369 retval = bessel_return_value (tmp, ierr); |
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untabify liboctave C++ sources
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|
1370 } |
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|
1371 else |
10314
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untabify liboctave C++ sources
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|
1372 retval = FloatComplex (octave_Float_NaN, octave_Float_NaN); |
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|
1373 } |
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changeset
|
1374 |
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changeset
|
1375 return retval; |
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|
1376 } |
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diff
changeset
|
1377 |
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diff
changeset
|
1378 static inline FloatComplex |
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diff
changeset
|
1379 cbesy (const FloatComplex& z, float alpha, int kode, octave_idx_type& ierr) |
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changeset
|
1380 { |
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diff
changeset
|
1381 FloatComplex retval; |
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changeset
|
1382 |
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changeset
|
1383 if (alpha >= 0.0) |
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changeset
|
1384 { |
8279
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lo-specfun.cc: fix prototypes and calls to cbes{h,i,j,k,y} subroutines
John W. Eaton <jwe@octave.org>
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diff
changeset
|
1385 FloatComplex y = 0.0; |
7789
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changeset
|
1386 |
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changeset
|
1387 octave_idx_type nz; |
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changeset
|
1388 |
8279
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diff
changeset
|
1389 FloatComplex w; |
7789
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changeset
|
1390 |
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diff
changeset
|
1391 ierr = 0; |
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changeset
|
1392 |
8279
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lo-specfun.cc: fix prototypes and calls to cbes{h,i,j,k,y} subroutines
John W. Eaton <jwe@octave.org>
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changeset
|
1393 if (real (z) == 0.0 && imag (z) == 0.0) |
10314
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untabify liboctave C++ sources
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|
1394 { |
07ebe522dac2
untabify liboctave C++ sources
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10258
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changeset
|
1395 y = FloatComplex (-octave_Float_Inf, 0.0); |
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untabify liboctave C++ sources
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|
1396 } |
7789
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|
1397 else |
10314
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changeset
|
1398 { |
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untabify liboctave C++ sources
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diff
changeset
|
1399 F77_FUNC (cbesy, CBESY) (z, alpha, 2, 1, &y, nz, &w, ierr); |
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untabify liboctave C++ sources
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|
1400 |
07ebe522dac2
untabify liboctave C++ sources
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changeset
|
1401 if (kode != 2) |
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untabify liboctave C++ sources
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|
1402 { |
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untabify liboctave C++ sources
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changeset
|
1403 float expz = exp (std::abs (imag (z))); |
07ebe522dac2
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diff
changeset
|
1404 y *= expz; |
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diff
changeset
|
1405 } |
07ebe522dac2
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changeset
|
1406 |
07ebe522dac2
untabify liboctave C++ sources
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changeset
|
1407 if (imag (z) == 0.0 && real (z) >= 0.0) |
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untabify liboctave C++ sources
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changeset
|
1408 y = FloatComplex (y.real (), 0.0); |
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untabify liboctave C++ sources
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changeset
|
1409 } |
7789
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|
1410 |
8279
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John W. Eaton <jwe@octave.org>
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changeset
|
1411 return bessel_return_value (y, ierr); |
7789
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changeset
|
1412 } |
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changeset
|
1413 else if (is_integer_value (alpha - 0.5)) |
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changeset
|
1414 { |
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changeset
|
1415 // zbesy can overflow as z->0, and cause troubles for generic case below |
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changeset
|
1416 alpha = -alpha; |
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changeset
|
1417 FloatComplex tmp = cbesj (z, alpha, kode, ierr); |
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strip trailing whitespace from source files
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changeset
|
1418 if ((static_cast <long> (alpha - 0.5)) & 1) |
10314
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changeset
|
1419 tmp = - tmp; |
7789
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changeset
|
1420 retval = bessel_return_value (tmp, ierr); |
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|
1421 } |
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changeset
|
1422 else |
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changeset
|
1423 { |
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changeset
|
1424 alpha = -alpha; |
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changeset
|
1425 |
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changeset
|
1426 FloatComplex tmp = cosf (static_cast<float> (M_PI) * alpha) * cbesy (z, alpha, kode, ierr); |
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changeset
|
1427 |
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changeset
|
1428 if (ierr == 0 || ierr == 3) |
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|
1429 { |
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changeset
|
1430 tmp += sinf (static_cast<float> (M_PI) * alpha) * cbesj (z, alpha, kode, ierr); |
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changeset
|
1431 |
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changeset
|
1432 retval = bessel_return_value (tmp, ierr); |
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|
1433 } |
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changeset
|
1434 else |
10314
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changeset
|
1435 retval = FloatComplex (octave_Float_NaN, octave_Float_NaN); |
7789
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|
1436 } |
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|
1437 |
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|
1438 return retval; |
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|
1439 } |
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First attempt at single precision tyeps
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|
1440 |
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First attempt at single precision tyeps
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|
1441 static inline FloatComplex |
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|
1442 cbesi (const FloatComplex& z, float alpha, int kode, octave_idx_type& ierr) |
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|
1443 { |
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First attempt at single precision tyeps
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|
1444 FloatComplex retval; |
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changeset
|
1445 |
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|
1446 if (alpha >= 0.0) |
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|
1447 { |
8279
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John W. Eaton <jwe@octave.org>
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|
1448 FloatComplex y = 0.0; |
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|
1449 |
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|
1450 octave_idx_type nz; |
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|
1451 |
8279
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|
1452 F77_FUNC (cbesi, CBESI) (z, alpha, 2, 1, &y, nz, ierr); |
7789
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|
1453 |
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First attempt at single precision tyeps
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|
1454 if (kode != 2) |
10314
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|
1455 { |
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|
1456 float expz = exp (std::abs (real (z))); |
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untabify liboctave C++ sources
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|
1457 y *= expz; |
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untabify liboctave C++ sources
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|
1458 } |
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|
1459 |
8279
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lo-specfun.cc: fix prototypes and calls to cbes{h,i,j,k,y} subroutines
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|
1460 if (imag (z) == 0.0 && real (z) >= 0.0) |
10314
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untabify liboctave C++ sources
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|
1461 y = FloatComplex (y.real (), 0.0); |
8279
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lo-specfun.cc: fix prototypes and calls to cbes{h,i,j,k,y} subroutines
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|
1462 |
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|
1463 retval = bessel_return_value (y, ierr); |
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|
1464 } |
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|
1465 else |
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|
1466 { |
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|
1467 alpha = -alpha; |
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|
1468 |
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|
1469 FloatComplex tmp = cbesi (z, alpha, kode, ierr); |
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First attempt at single precision tyeps
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|
1470 |
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|
1471 if (ierr == 0 || ierr == 3) |
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|
1472 { |
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untabify liboctave C++ sources
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|
1473 FloatComplex tmp2 = static_cast<float> (2.0 / M_PI) * sinf (static_cast<float> (M_PI) * alpha) |
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untabify liboctave C++ sources
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|
1474 * cbesk (z, alpha, kode, ierr); |
11586
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strip trailing whitespace from source files
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diff
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|
1475 |
12df7854fa7c
strip trailing whitespace from source files
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diff
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|
1476 if (kode == 2) |
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|
1477 { |
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|
1478 // Compensate for different scaling factor of besk. |
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untabify liboctave C++ sources
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|
1479 tmp2 *= exp(-z - std::abs(z.real())); |
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untabify liboctave C++ sources
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|
1480 } |
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untabify liboctave C++ sources
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|
1481 |
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untabify liboctave C++ sources
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changeset
|
1482 tmp += tmp2; |
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untabify liboctave C++ sources
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changeset
|
1483 |
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untabify liboctave C++ sources
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|
1484 retval = bessel_return_value (tmp, ierr); |
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untabify liboctave C++ sources
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|
1485 } |
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|
1486 else |
10314
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untabify liboctave C++ sources
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|
1487 retval = FloatComplex (octave_Float_NaN, octave_Float_NaN); |
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|
1488 } |
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diff
changeset
|
1489 |
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changeset
|
1490 return retval; |
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changeset
|
1491 } |
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diff
changeset
|
1492 |
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changeset
|
1493 static inline FloatComplex |
82be108cc558
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diff
changeset
|
1494 cbesk (const FloatComplex& z, float alpha, int kode, octave_idx_type& ierr) |
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changeset
|
1495 { |
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diff
changeset
|
1496 FloatComplex retval; |
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diff
changeset
|
1497 |
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diff
changeset
|
1498 if (alpha >= 0.0) |
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changeset
|
1499 { |
8279
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changeset
|
1500 FloatComplex y = 0.0; |
7789
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diff
changeset
|
1501 |
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diff
changeset
|
1502 octave_idx_type nz; |
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diff
changeset
|
1503 |
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diff
changeset
|
1504 ierr = 0; |
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changeset
|
1505 |
8279
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lo-specfun.cc: fix prototypes and calls to cbes{h,i,j,k,y} subroutines
John W. Eaton <jwe@octave.org>
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8278
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changeset
|
1506 if (real (z) == 0.0 && imag (z) == 0.0) |
10314
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untabify liboctave C++ sources
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|
1507 { |
07ebe522dac2
untabify liboctave C++ sources
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10258
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changeset
|
1508 y = FloatComplex (octave_Float_Inf, 0.0); |
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untabify liboctave C++ sources
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|
1509 } |
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|
1510 else |
10314
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
1511 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10258
diff
changeset
|
1512 F77_FUNC (cbesk, CBESK) (z, alpha, 2, 1, &y, nz, ierr); |
07ebe522dac2
untabify liboctave C++ sources
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changeset
|
1513 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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changeset
|
1514 if (kode != 2) |
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untabify liboctave C++ sources
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10258
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changeset
|
1515 { |
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untabify liboctave C++ sources
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changeset
|
1516 FloatComplex expz = exp (-z); |
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untabify liboctave C++ sources
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changeset
|
1517 |
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untabify liboctave C++ sources
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10258
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changeset
|
1518 float rexpz = real (expz); |
07ebe522dac2
untabify liboctave C++ sources
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10258
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changeset
|
1519 float iexpz = imag (expz); |
07ebe522dac2
untabify liboctave C++ sources
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10258
diff
changeset
|
1520 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10258
diff
changeset
|
1521 float tmp_r = real (y) * rexpz - imag (y) * iexpz; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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changeset
|
1522 float tmp_i = real (y) * iexpz + imag (y) * rexpz; |
07ebe522dac2
untabify liboctave C++ sources
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changeset
|
1523 |
07ebe522dac2
untabify liboctave C++ sources
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10258
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changeset
|
1524 y = FloatComplex (tmp_r, tmp_i); |
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untabify liboctave C++ sources
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10258
diff
changeset
|
1525 } |
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untabify liboctave C++ sources
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10258
diff
changeset
|
1526 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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changeset
|
1527 if (imag (z) == 0.0 && real (z) >= 0.0) |
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untabify liboctave C++ sources
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changeset
|
1528 y = FloatComplex (y.real (), 0.0); |
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untabify liboctave C++ sources
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changeset
|
1529 } |
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changeset
|
1530 |
8279
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John W. Eaton <jwe@octave.org>
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changeset
|
1531 retval = bessel_return_value (y, ierr); |
7789
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changeset
|
1532 } |
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diff
changeset
|
1533 else |
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diff
changeset
|
1534 { |
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changeset
|
1535 FloatComplex tmp = cbesk (z, -alpha, kode, ierr); |
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changeset
|
1536 |
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changeset
|
1537 retval = bessel_return_value (tmp, ierr); |
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changeset
|
1538 } |
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changeset
|
1539 |
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changeset
|
1540 return retval; |
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diff
changeset
|
1541 } |
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changeset
|
1542 |
82be108cc558
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changeset
|
1543 static inline FloatComplex |
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changeset
|
1544 cbesh1 (const FloatComplex& z, float alpha, int kode, octave_idx_type& ierr) |
82be108cc558
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changeset
|
1545 { |
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diff
changeset
|
1546 FloatComplex retval; |
82be108cc558
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diff
changeset
|
1547 |
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changeset
|
1548 if (alpha >= 0.0) |
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changeset
|
1549 { |
8279
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John W. Eaton <jwe@octave.org>
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changeset
|
1550 FloatComplex y = 0.0; |
7789
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changeset
|
1551 |
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changeset
|
1552 octave_idx_type nz; |
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changeset
|
1553 |
8279
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changeset
|
1554 F77_FUNC (cbesh, CBESH) (z, alpha, 2, 1, 1, &y, nz, ierr); |
7789
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changeset
|
1555 |
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changeset
|
1556 if (kode != 2) |
10314
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|
1557 { |
07ebe522dac2
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changeset
|
1558 FloatComplex expz = exp (FloatComplex (0.0, 1.0) * z); |
07ebe522dac2
untabify liboctave C++ sources
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changeset
|
1559 |
07ebe522dac2
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changeset
|
1560 float rexpz = real (expz); |
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untabify liboctave C++ sources
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changeset
|
1561 float iexpz = imag (expz); |
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untabify liboctave C++ sources
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|
1562 |
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untabify liboctave C++ sources
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|
1563 float tmp_r = real (y) * rexpz - imag (y) * iexpz; |
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untabify liboctave C++ sources
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|
1564 float tmp_i = real (y) * iexpz + imag (y) * rexpz; |
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untabify liboctave C++ sources
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|
1565 |
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untabify liboctave C++ sources
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|
1566 y = FloatComplex (tmp_r, tmp_i); |
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untabify liboctave C++ sources
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|
1567 } |
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1568 |
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|
1569 retval = bessel_return_value (y, ierr); |
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|
1570 } |
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|
1571 else |
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|
1572 { |
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|
1573 alpha = -alpha; |
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|
1574 |
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|
1575 static const FloatComplex eye = FloatComplex (0.0, 1.0); |
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1576 |
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1577 FloatComplex tmp = exp (static_cast<float> (M_PI) * alpha * eye) * cbesh1 (z, alpha, kode, ierr); |
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1578 |
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|
1579 retval = bessel_return_value (tmp, ierr); |
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|
1580 } |
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|
1581 |
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|
1582 return retval; |
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|
1583 } |
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|
1584 |
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|
1585 static inline FloatComplex |
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|
1586 cbesh2 (const FloatComplex& z, float alpha, int kode, octave_idx_type& ierr) |
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|
1587 { |
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|
1588 FloatComplex retval; |
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|
1589 |
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|
1590 if (alpha >= 0.0) |
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|
1591 { |
8279
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|
1592 FloatComplex y = 0.0; |
7789
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|
1593 |
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|
1594 octave_idx_type nz; |
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|
1595 |
8279
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John W. Eaton <jwe@octave.org>
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|
1596 F77_FUNC (cbesh, CBESH) (z, alpha, 2, 2, 1, &y, nz, ierr); |
7789
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|
1597 |
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|
1598 if (kode != 2) |
10314
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|
1599 { |
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|
1600 FloatComplex expz = exp (-FloatComplex (0.0, 1.0) * z); |
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untabify liboctave C++ sources
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|
1601 |
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untabify liboctave C++ sources
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|
1602 float rexpz = real (expz); |
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untabify liboctave C++ sources
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|
1603 float iexpz = imag (expz); |
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|
1604 |
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untabify liboctave C++ sources
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|
1605 float tmp_r = real (y) * rexpz - imag (y) * iexpz; |
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untabify liboctave C++ sources
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|
1606 float tmp_i = real (y) * iexpz + imag (y) * rexpz; |
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untabify liboctave C++ sources
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|
1607 |
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untabify liboctave C++ sources
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|
1608 y = FloatComplex (tmp_r, tmp_i); |
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untabify liboctave C++ sources
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|
1609 } |
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|
1610 |
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|
1611 retval = bessel_return_value (y, ierr); |
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|
1612 } |
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|
1613 else |
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|
1614 { |
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|
1615 alpha = -alpha; |
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|
1616 |
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|
1617 static const FloatComplex eye = FloatComplex (0.0, 1.0); |
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|
1618 |
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|
1619 FloatComplex tmp = exp (-static_cast<float> (M_PI) * alpha * eye) * cbesh2 (z, alpha, kode, ierr); |
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|
1620 |
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|
1621 retval = bessel_return_value (tmp, ierr); |
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|
1622 } |
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|
1623 |
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|
1624 return retval; |
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|
1625 } |
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|
1626 |
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|
1627 typedef FloatComplex (*fptr) (const FloatComplex&, float, int, octave_idx_type&); |
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|
1628 |
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|
1629 static inline FloatComplex |
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|
1630 do_bessel (fptr f, const char *, float alpha, const FloatComplex& x, |
10314
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untabify liboctave C++ sources
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|
1631 bool scaled, octave_idx_type& ierr) |
7789
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|
1632 { |
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|
1633 FloatComplex retval; |
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|
1634 |
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|
1635 retval = f (x, alpha, (scaled ? 2 : 1), ierr); |
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|
1636 |
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|
1637 return retval; |
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|
1638 } |
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|
1639 |
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|
1640 static inline FloatComplexMatrix |
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|
1641 do_bessel (fptr f, const char *, float alpha, const FloatComplexMatrix& x, |
10352 | 1642 bool scaled, Array<octave_idx_type>& ierr) |
7789
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|
1643 { |
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|
1644 octave_idx_type nr = x.rows (); |
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|
1645 octave_idx_type nc = x.cols (); |
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|
1646 |
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changeset
|
1647 FloatComplexMatrix retval (nr, nc); |
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|
1648 |
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attempt better backward compatibility for Array resize functions
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|
1649 ierr.resize (dim_vector (nr, nc)); |
7789
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|
1650 |
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|
1651 for (octave_idx_type j = 0; j < nc; j++) |
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|
1652 for (octave_idx_type i = 0; i < nr; i++) |
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|
1653 retval(i,j) = f (x(i,j), alpha, (scaled ? 2 : 1), ierr(i,j)); |
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|
1654 |
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|
1655 return retval; |
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|
1656 } |
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changeset
|
1657 |
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|
1658 static inline FloatComplexMatrix |
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|
1659 do_bessel (fptr f, const char *, const FloatMatrix& alpha, const FloatComplex& x, |
10352 | 1660 bool scaled, Array<octave_idx_type>& ierr) |
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|
1661 { |
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|
1662 octave_idx_type nr = alpha.rows (); |
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|
1663 octave_idx_type nc = alpha.cols (); |
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|
1664 |
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|
1665 FloatComplexMatrix retval (nr, nc); |
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|
1666 |
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|
1667 ierr.resize (dim_vector (nr, nc)); |
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|
1668 |
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|
1669 for (octave_idx_type j = 0; j < nc; j++) |
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|
1670 for (octave_idx_type i = 0; i < nr; i++) |
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|
1671 retval(i,j) = f (x, alpha(i,j), (scaled ? 2 : 1), ierr(i,j)); |
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|
1672 |
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|
1673 return retval; |
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|
1674 } |
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changeset
|
1675 |
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|
1676 static inline FloatComplexMatrix |
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changeset
|
1677 do_bessel (fptr f, const char *fn, const FloatMatrix& alpha, |
10352 | 1678 const FloatComplexMatrix& x, bool scaled, Array<octave_idx_type>& ierr) |
7789
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|
1679 { |
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changeset
|
1680 FloatComplexMatrix retval; |
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|
1681 |
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|
1682 octave_idx_type x_nr = x.rows (); |
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|
1683 octave_idx_type x_nc = x.cols (); |
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|
1684 |
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|
1685 octave_idx_type alpha_nr = alpha.rows (); |
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|
1686 octave_idx_type alpha_nc = alpha.cols (); |
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changeset
|
1687 |
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|
1688 if (x_nr == alpha_nr && x_nc == alpha_nc) |
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|
1689 { |
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changeset
|
1690 octave_idx_type nr = x_nr; |
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changeset
|
1691 octave_idx_type nc = x_nc; |
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|
1692 |
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First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1693 retval.resize (nr, nc); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1694 |
11574
a83bad07f7e3
attempt better backward compatibility for Array resize functions
John W. Eaton <jwe@octave.org>
parents:
11523
diff
changeset
|
1695 ierr.resize (dim_vector (nr, nc)); |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1696 |
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First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1697 for (octave_idx_type j = 0; j < nc; j++) |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
1698 for (octave_idx_type i = 0; i < nr; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
1699 retval(i,j) = f (x(i,j), alpha(i,j), (scaled ? 2 : 1), ierr(i,j)); |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1700 } |
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First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1701 else |
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First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1702 (*current_liboctave_error_handler) |
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First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1703 ("%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
|
1704 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1705 return retval; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1706 } |
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First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1707 |
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First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1708 static inline FloatComplexNDArray |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1709 do_bessel (fptr f, const char *, float alpha, const FloatComplexNDArray& x, |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
1710 bool scaled, Array<octave_idx_type>& ierr) |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1711 { |
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First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1712 dim_vector dv = x.dims (); |
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First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1713 octave_idx_type nel = dv.numel (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1714 FloatComplexNDArray retval (dv); |
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First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1715 |
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First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1716 ierr.resize (dv); |
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First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1717 |
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First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1718 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
|
1719 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
|
1720 |
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First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1721 return retval; |
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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 |
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First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1724 static inline FloatComplexNDArray |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1725 do_bessel (fptr f, const char *, const FloatNDArray& alpha, const FloatComplex& x, |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
1726 bool scaled, Array<octave_idx_type>& ierr) |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1727 { |
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First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1728 dim_vector dv = alpha.dims (); |
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First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1729 octave_idx_type nel = dv.numel (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1730 FloatComplexNDArray retval (dv); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1731 |
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First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1732 ierr.resize (dv); |
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First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1733 |
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First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1734 for (octave_idx_type i = 0; i < nel; i++) |
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First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1735 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
|
1736 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1737 return retval; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1738 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1739 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1740 static inline FloatComplexNDArray |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1741 do_bessel (fptr f, const char *fn, const FloatNDArray& alpha, |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
1742 const FloatComplexNDArray& x, bool scaled, Array<octave_idx_type>& ierr) |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1743 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1744 dim_vector dv = x.dims (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1745 FloatComplexNDArray retval; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1746 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1747 if (dv == alpha.dims ()) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1748 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1749 octave_idx_type nel = dv.numel (); |
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First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1750 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1751 retval.resize (dv); |
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First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1752 ierr.resize (dv); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1753 |
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First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1754 for (octave_idx_type i = 0; i < nel; i++) |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
1755 retval(i) = f (x(i), alpha(i), (scaled ? 2 : 1), ierr(i)); |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1756 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1757 else |
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First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1758 (*current_liboctave_error_handler) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1759 ("%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
|
1760 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1761 return retval; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1762 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1763 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1764 static inline FloatComplexMatrix |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1765 do_bessel (fptr f, const char *, const FloatRowVector& alpha, |
10352 | 1766 const FloatComplexColumnVector& x, bool scaled, Array<octave_idx_type>& ierr) |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1767 { |
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First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1768 octave_idx_type nr = x.length (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1769 octave_idx_type nc = alpha.length (); |
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First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
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diff
changeset
|
1770 |
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First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1771 FloatComplexMatrix retval (nr, nc); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1772 |
11574
a83bad07f7e3
attempt better backward compatibility for Array resize functions
John W. Eaton <jwe@octave.org>
parents:
11523
diff
changeset
|
1773 ierr.resize (dim_vector (nr, nc)); |
7789
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 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
|
1776 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
|
1777 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:
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diff
changeset
|
1778 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1779 return retval; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1780 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1781 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1782 #define SS_BESSEL(name, fcn) \ |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1783 FloatComplex \ |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1784 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
|
1785 { \ |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1786 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
|
1787 } |
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First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1788 |
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First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1789 #define SM_BESSEL(name, fcn) \ |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1790 FloatComplexMatrix \ |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1791 name (float alpha, const FloatComplexMatrix& x, bool scaled, \ |
10352 | 1792 Array<octave_idx_type>& ierr) \ |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1793 { \ |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1794 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
|
1795 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1796 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1797 #define MS_BESSEL(name, fcn) \ |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1798 FloatComplexMatrix \ |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1799 name (const FloatMatrix& alpha, const FloatComplex& x, bool scaled, \ |
10352 | 1800 Array<octave_idx_type>& ierr) \ |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1801 { \ |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1802 return do_bessel (fcn, #name, alpha, x, scaled, ierr); \ |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1803 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
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diff
changeset
|
1804 |
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First attempt at single precision tyeps
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parents:
7638
diff
changeset
|
1805 #define MM_BESSEL(name, fcn) \ |
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First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
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diff
changeset
|
1806 FloatComplexMatrix \ |
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First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1807 name (const FloatMatrix& alpha, const FloatComplexMatrix& x, bool scaled, \ |
10352 | 1808 Array<octave_idx_type>& ierr) \ |
7789
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First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1809 { \ |
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First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1810 return do_bessel (fcn, #name, alpha, x, scaled, ierr); \ |
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First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
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diff
changeset
|
1811 } |
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parents:
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diff
changeset
|
1812 |
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parents:
7638
diff
changeset
|
1813 #define SN_BESSEL(name, fcn) \ |
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First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
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diff
changeset
|
1814 FloatComplexNDArray \ |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1815 name (float alpha, const FloatComplexNDArray& x, bool scaled, \ |
10314
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untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
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changeset
|
1816 Array<octave_idx_type>& ierr) \ |
7789
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First attempt at single precision tyeps
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parents:
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diff
changeset
|
1817 { \ |
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First attempt at single precision tyeps
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parents:
7638
diff
changeset
|
1818 return do_bessel (fcn, #name, alpha, x, scaled, ierr); \ |
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First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
1819 } |
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diff
changeset
|
1820 |
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parents:
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diff
changeset
|
1821 #define NS_BESSEL(name, fcn) \ |
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First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
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diff
changeset
|
1822 FloatComplexNDArray \ |
82be108cc558
First attempt at single precision tyeps
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parents:
7638
diff
changeset
|
1823 name (const FloatNDArray& alpha, const FloatComplex& x, bool scaled, \ |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
1824 Array<octave_idx_type>& ierr) \ |
7789
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diff
changeset
|
1825 { \ |
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1826 return do_bessel (fcn, #name, alpha, x, scaled, ierr); \ |
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1827 } |
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1828 |
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1829 #define NN_BESSEL(name, fcn) \ |
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1830 FloatComplexNDArray \ |
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1831 name (const FloatNDArray& alpha, const FloatComplexNDArray& x, bool scaled, \ |
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1832 Array<octave_idx_type>& ierr) \ |
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1833 { \ |
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1834 return do_bessel (fcn, #name, alpha, x, scaled, ierr); \ |
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1835 } |
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1836 |
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1837 #define RC_BESSEL(name, fcn) \ |
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1838 FloatComplexMatrix \ |
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1839 name (const FloatRowVector& alpha, const FloatComplexColumnVector& x, bool scaled, \ |
10352 | 1840 Array<octave_idx_type>& ierr) \ |
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1841 { \ |
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1842 return do_bessel (fcn, #name, alpha, x, scaled, ierr); \ |
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1843 } |
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1844 |
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1845 #define ALL_BESSEL(name, fcn) \ |
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1846 SS_BESSEL (name, fcn) \ |
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1847 SM_BESSEL (name, fcn) \ |
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1848 MS_BESSEL (name, fcn) \ |
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1849 MM_BESSEL (name, fcn) \ |
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1850 SN_BESSEL (name, fcn) \ |
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1851 NS_BESSEL (name, fcn) \ |
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1852 NN_BESSEL (name, fcn) \ |
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1853 RC_BESSEL (name, fcn) |
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1854 |
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1855 ALL_BESSEL (besselj, cbesj) |
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1856 ALL_BESSEL (bessely, cbesy) |
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1857 ALL_BESSEL (besseli, cbesi) |
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1858 ALL_BESSEL (besselk, cbesk) |
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1859 ALL_BESSEL (besselh1, cbesh1) |
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1860 ALL_BESSEL (besselh2, cbesh2) |
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1861 |
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1862 #undef ALL_BESSEL |
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1863 #undef SS_BESSEL |
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1864 #undef SM_BESSEL |
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1865 #undef MS_BESSEL |
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1866 #undef MM_BESSEL |
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1867 #undef SN_BESSEL |
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1868 #undef NS_BESSEL |
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1869 #undef NN_BESSEL |
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1870 #undef RC_BESSEL |
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1871 |
3220 | 1872 Complex |
5275 | 1873 airy (const Complex& z, bool deriv, bool scaled, octave_idx_type& ierr) |
3146 | 1874 { |
3220 | 1875 double ar = 0.0; |
1876 double ai = 0.0; | |
1877 | |
5275 | 1878 octave_idx_type nz; |
3220 | 1879 |
1880 double zr = z.real (); | |
1881 double zi = z.imag (); | |
3146 | 1882 |
5275 | 1883 octave_idx_type id = deriv ? 1 : 0; |
3220 | 1884 |
4506 | 1885 F77_FUNC (zairy, ZAIRY) (zr, zi, id, 2, ar, ai, nz, ierr); |
1886 | |
1887 if (! scaled) | |
1888 { | |
1889 Complex expz = exp (- 2.0 / 3.0 * z * sqrt(z)); | |
3220 | 1890 |
4506 | 1891 double rexpz = real (expz); |
1892 double iexpz = imag (expz); | |
1893 | |
1894 double tmp = ar*rexpz - ai*iexpz; | |
1895 | |
1896 ai = ar*iexpz + ai*rexpz; | |
1897 ar = tmp; | |
1898 } | |
3220 | 1899 |
4490 | 1900 if (zi == 0.0 && (! scaled || zr >= 0.0)) |
3225 | 1901 ai = 0.0; |
1902 | |
3220 | 1903 return bessel_return_value (Complex (ar, ai), ierr); |
3146 | 1904 } |
1905 | |
3220 | 1906 Complex |
5275 | 1907 biry (const Complex& z, bool deriv, bool scaled, octave_idx_type& ierr) |
3146 | 1908 { |
3220 | 1909 double ar = 0.0; |
1910 double ai = 0.0; | |
1911 | |
1912 double zr = z.real (); | |
1913 double zi = z.imag (); | |
1914 | |
5275 | 1915 octave_idx_type id = deriv ? 1 : 0; |
3220 | 1916 |
4506 | 1917 F77_FUNC (zbiry, ZBIRY) (zr, zi, id, 2, ar, ai, ierr); |
1918 | |
1919 if (! scaled) | |
1920 { | |
1921 Complex expz = exp (std::abs (real (2.0 / 3.0 * z * sqrt (z)))); | |
3220 | 1922 |
4506 | 1923 double rexpz = real (expz); |
1924 double iexpz = imag (expz); | |
1925 | |
1926 double tmp = ar*rexpz - ai*iexpz; | |
1927 | |
1928 ai = ar*iexpz + ai*rexpz; | |
1929 ar = tmp; | |
1930 } | |
3220 | 1931 |
4490 | 1932 if (zi == 0.0 && (! scaled || zr >= 0.0)) |
3225 | 1933 ai = 0.0; |
1934 | |
3220 | 1935 return bessel_return_value (Complex (ar, ai), ierr); |
3146 | 1936 } |
1937 | |
3220 | 1938 ComplexMatrix |
10352 | 1939 airy (const ComplexMatrix& z, bool deriv, bool scaled, Array<octave_idx_type>& ierr) |
3146 | 1940 { |
5275 | 1941 octave_idx_type nr = z.rows (); |
1942 octave_idx_type nc = z.cols (); | |
3220 | 1943 |
1944 ComplexMatrix retval (nr, nc); | |
1945 | |
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1946 ierr.resize (dim_vector (nr, nc)); |
3220 | 1947 |
5275 | 1948 for (octave_idx_type j = 0; j < nc; j++) |
1949 for (octave_idx_type i = 0; i < nr; i++) | |
3220 | 1950 retval(i,j) = airy (z(i,j), deriv, scaled, ierr(i,j)); |
1951 | |
1952 return retval; | |
3146 | 1953 } |
1954 | |
3220 | 1955 ComplexMatrix |
10352 | 1956 biry (const ComplexMatrix& z, bool deriv, bool scaled, Array<octave_idx_type>& ierr) |
3146 | 1957 { |
5275 | 1958 octave_idx_type nr = z.rows (); |
1959 octave_idx_type nc = z.cols (); | |
3220 | 1960 |
1961 ComplexMatrix retval (nr, nc); | |
1962 | |
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1963 ierr.resize (dim_vector (nr, nc)); |
3220 | 1964 |
5275 | 1965 for (octave_idx_type j = 0; j < nc; j++) |
1966 for (octave_idx_type i = 0; i < nr; i++) | |
3220 | 1967 retval(i,j) = biry (z(i,j), deriv, scaled, ierr(i,j)); |
1968 | |
1969 return retval; | |
3146 | 1970 } |
1971 | |
4844 | 1972 ComplexNDArray |
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1973 airy (const ComplexNDArray& z, bool deriv, bool scaled, Array<octave_idx_type>& ierr) |
4844 | 1974 { |
1975 dim_vector dv = z.dims (); | |
5275 | 1976 octave_idx_type nel = dv.numel (); |
4844 | 1977 ComplexNDArray retval (dv); |
1978 | |
1979 ierr.resize (dv); | |
1980 | |
5275 | 1981 for (octave_idx_type i = 0; i < nel; i++) |
4844 | 1982 retval (i) = airy (z(i), deriv, scaled, ierr(i)); |
1983 | |
1984 return retval; | |
1985 } | |
1986 | |
1987 ComplexNDArray | |
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1988 biry (const ComplexNDArray& z, bool deriv, bool scaled, Array<octave_idx_type>& ierr) |
4844 | 1989 { |
1990 dim_vector dv = z.dims (); | |
5275 | 1991 octave_idx_type nel = dv.numel (); |
4844 | 1992 ComplexNDArray retval (dv); |
1993 | |
1994 ierr.resize (dv); | |
1995 | |
5275 | 1996 for (octave_idx_type i = 0; i < nel; i++) |
4844 | 1997 retval (i) = biry (z(i), deriv, scaled, ierr(i)); |
1998 | |
1999 return retval; | |
2000 } | |
2001 | |
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2002 FloatComplex |
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2003 airy (const FloatComplex& z, bool deriv, bool scaled, octave_idx_type& ierr) |
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2004 { |
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2005 float ar = 0.0; |
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2006 float ai = 0.0; |
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2007 |
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2008 octave_idx_type nz; |
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2009 |
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2010 float zr = z.real (); |
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2011 float zi = z.imag (); |
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2012 |
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2013 octave_idx_type id = deriv ? 1 : 0; |
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2014 |
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2015 F77_FUNC (cairy, CAIRY) (zr, zi, id, 2, ar, ai, nz, ierr); |
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2016 |
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2017 if (! scaled) |
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2018 { |
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2019 FloatComplex expz = exp (- static_cast<float> (2.0 / 3.0) * z * sqrt(z)); |
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2020 |
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2021 float rexpz = real (expz); |
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2022 float iexpz = imag (expz); |
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2023 |
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2024 float tmp = ar*rexpz - ai*iexpz; |
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2025 |
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2026 ai = ar*iexpz + ai*rexpz; |
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2027 ar = tmp; |
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2028 } |
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2029 |
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2030 if (zi == 0.0 && (! scaled || zr >= 0.0)) |
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2031 ai = 0.0; |
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2032 |
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2033 return bessel_return_value (FloatComplex (ar, ai), ierr); |
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2034 } |
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2035 |
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2036 FloatComplex |
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2037 biry (const FloatComplex& z, bool deriv, bool scaled, octave_idx_type& ierr) |
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2038 { |
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2039 float ar = 0.0; |
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2040 float ai = 0.0; |
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2041 |
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2042 float zr = z.real (); |
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2043 float zi = z.imag (); |
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2044 |
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2045 octave_idx_type id = deriv ? 1 : 0; |
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2046 |
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2047 F77_FUNC (cbiry, CBIRY) (zr, zi, id, 2, ar, ai, ierr); |
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2048 |
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2049 if (! scaled) |
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2050 { |
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2051 FloatComplex expz = exp (std::abs (real (static_cast<float> (2.0 / 3.0) * z * sqrt (z)))); |
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2052 |
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2053 float rexpz = real (expz); |
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2054 float iexpz = imag (expz); |
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2055 |
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2056 float tmp = ar*rexpz - ai*iexpz; |
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2057 |
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2058 ai = ar*iexpz + ai*rexpz; |
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2059 ar = tmp; |
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2060 } |
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2061 |
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2062 if (zi == 0.0 && (! scaled || zr >= 0.0)) |
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2063 ai = 0.0; |
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2064 |
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2065 return bessel_return_value (FloatComplex (ar, ai), ierr); |
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2066 } |
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2067 |
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2068 FloatComplexMatrix |
10352 | 2069 airy (const FloatComplexMatrix& z, bool deriv, bool scaled, Array<octave_idx_type>& ierr) |
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2070 { |
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2071 octave_idx_type nr = z.rows (); |
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2072 octave_idx_type nc = z.cols (); |
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2073 |
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2074 FloatComplexMatrix retval (nr, nc); |
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2075 |
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2076 ierr.resize (dim_vector (nr, nc)); |
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2077 |
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2078 for (octave_idx_type j = 0; j < nc; j++) |
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2079 for (octave_idx_type i = 0; i < nr; i++) |
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2080 retval(i,j) = airy (z(i,j), deriv, scaled, ierr(i,j)); |
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2081 |
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2082 return retval; |
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2083 } |
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2084 |
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2085 FloatComplexMatrix |
10352 | 2086 biry (const FloatComplexMatrix& z, bool deriv, bool scaled, Array<octave_idx_type>& ierr) |
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2087 { |
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2088 octave_idx_type nr = z.rows (); |
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2089 octave_idx_type nc = z.cols (); |
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2090 |
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2091 FloatComplexMatrix retval (nr, nc); |
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2092 |
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2093 ierr.resize (dim_vector (nr, nc)); |
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2094 |
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2095 for (octave_idx_type j = 0; j < nc; j++) |
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2096 for (octave_idx_type i = 0; i < nr; i++) |
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2097 retval(i,j) = biry (z(i,j), deriv, scaled, ierr(i,j)); |
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2098 |
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2099 return retval; |
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2100 } |
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2101 |
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2102 FloatComplexNDArray |
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2103 airy (const FloatComplexNDArray& z, bool deriv, bool scaled, Array<octave_idx_type>& ierr) |
7789
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2104 { |
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2105 dim_vector dv = z.dims (); |
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2106 octave_idx_type nel = dv.numel (); |
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2107 FloatComplexNDArray retval (dv); |
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2108 |
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2109 ierr.resize (dv); |
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2110 |
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2111 for (octave_idx_type i = 0; i < nel; i++) |
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2112 retval (i) = airy (z(i), deriv, scaled, ierr(i)); |
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2113 |
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2114 return retval; |
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2115 } |
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2116 |
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2117 FloatComplexNDArray |
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2118 biry (const FloatComplexNDArray& z, bool deriv, bool scaled, Array<octave_idx_type>& ierr) |
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2119 { |
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2120 dim_vector dv = z.dims (); |
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2121 octave_idx_type nel = dv.numel (); |
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2122 FloatComplexNDArray retval (dv); |
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2123 |
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2124 ierr.resize (dv); |
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2125 |
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2126 for (octave_idx_type i = 0; i < nel; i++) |
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2127 retval (i) = biry (z(i), deriv, scaled, ierr(i)); |
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2128 |
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2129 return retval; |
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2130 } |
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2131 |
3146 | 2132 static void |
5275 | 2133 gripe_betainc_nonconformant (octave_idx_type r1, octave_idx_type c1, octave_idx_type r2, octave_idx_type c2, octave_idx_type r3, |
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2134 octave_idx_type c3) |
3146 | 2135 { |
2136 (*current_liboctave_error_handler) | |
2137 ("betainc: nonconformant arguments (x is %dx%d, a is %dx%d, b is %dx%d)", | |
2138 r1, c1, r2, c2, r3, c3); | |
2139 } | |
2140 | |
4844 | 2141 static void |
2142 gripe_betainc_nonconformant (const dim_vector& d1, const dim_vector& d2, | |
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2143 const dim_vector& d3) |
4844 | 2144 { |
2145 std::string d1_str = d1.str (); | |
2146 std::string d2_str = d2.str (); | |
2147 std::string d3_str = d3.str (); | |
2148 | |
2149 (*current_liboctave_error_handler) | |
2150 ("betainc: nonconformant arguments (x is %s, a is %s, b is %s)", | |
2151 d1_str.c_str (), d2_str.c_str (), d3_str.c_str ()); | |
2152 } | |
2153 | |
3146 | 2154 double |
2155 betainc (double x, double a, double b) | |
2156 { | |
2157 double retval; | |
5700 | 2158 F77_XFCN (xdbetai, XDBETAI, (x, a, b, retval)); |
3146 | 2159 return retval; |
2160 } | |
2161 | |
2162 Matrix | |
2163 betainc (double x, double a, const Matrix& b) | |
2164 { | |
5275 | 2165 octave_idx_type nr = b.rows (); |
2166 octave_idx_type nc = b.cols (); | |
3146 | 2167 |
2168 Matrix retval (nr, nc); | |
2169 | |
5275 | 2170 for (octave_idx_type j = 0; j < nc; j++) |
2171 for (octave_idx_type i = 0; i < nr; i++) | |
3146 | 2172 retval(i,j) = betainc (x, a, b(i,j)); |
2173 | |
2174 return retval; | |
2175 } | |
2176 | |
2177 Matrix | |
2178 betainc (double x, const Matrix& a, double b) | |
2179 { | |
5275 | 2180 octave_idx_type nr = a.rows (); |
2181 octave_idx_type nc = a.cols (); | |
3146 | 2182 |
2183 Matrix retval (nr, nc); | |
2184 | |
5275 | 2185 for (octave_idx_type j = 0; j < nc; j++) |
2186 for (octave_idx_type i = 0; i < nr; i++) | |
3146 | 2187 retval(i,j) = betainc (x, a(i,j), b); |
2188 | |
2189 return retval; | |
2190 } | |
2191 | |
2192 Matrix | |
2193 betainc (double x, const Matrix& a, const Matrix& b) | |
2194 { | |
2195 Matrix retval; | |
2196 | |
5275 | 2197 octave_idx_type a_nr = a.rows (); |
2198 octave_idx_type a_nc = a.cols (); | |
3146 | 2199 |
5275 | 2200 octave_idx_type b_nr = b.rows (); |
2201 octave_idx_type b_nc = b.cols (); | |
3146 | 2202 |
2203 if (a_nr == b_nr && a_nc == b_nc) | |
2204 { | |
2205 retval.resize (a_nr, a_nc); | |
2206 | |
5275 | 2207 for (octave_idx_type j = 0; j < a_nc; j++) |
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2208 for (octave_idx_type i = 0; i < a_nr; i++) |
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2209 retval(i,j) = betainc (x, a(i,j), b(i,j)); |
3146 | 2210 } |
2211 else | |
2212 gripe_betainc_nonconformant (1, 1, a_nr, a_nc, b_nr, b_nc); | |
2213 | |
2214 return retval; | |
2215 } | |
2216 | |
4844 | 2217 NDArray |
2218 betainc (double x, double a, const NDArray& b) | |
2219 { | |
2220 dim_vector dv = b.dims (); | |
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2221 octave_idx_type nel = dv.numel (); |
4844 | 2222 |
2223 NDArray retval (dv); | |
2224 | |
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2225 for (octave_idx_type i = 0; i < nel; i++) |
4844 | 2226 retval (i) = betainc (x, a, b(i)); |
2227 | |
2228 return retval; | |
2229 } | |
2230 | |
2231 NDArray | |
2232 betainc (double x, const NDArray& a, double b) | |
2233 { | |
2234 dim_vector dv = a.dims (); | |
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2235 octave_idx_type nel = dv.numel (); |
4844 | 2236 |
2237 NDArray retval (dv); | |
2238 | |
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2239 for (octave_idx_type i = 0; i < nel; i++) |
4844 | 2240 retval (i) = betainc (x, a(i), b); |
2241 | |
2242 return retval; | |
2243 } | |
2244 | |
2245 NDArray | |
2246 betainc (double x, const NDArray& a, const NDArray& b) | |
2247 { | |
2248 NDArray retval; | |
2249 dim_vector dv = a.dims (); | |
2250 | |
2251 if (dv == b.dims ()) | |
2252 { | |
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2253 octave_idx_type nel = dv.numel (); |
4844 | 2254 |
2255 retval.resize (dv); | |
2256 | |
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2257 for (octave_idx_type i = 0; i < nel; i++) |
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2258 retval (i) = betainc (x, a(i), b(i)); |
4844 | 2259 } |
2260 else | |
10258 | 2261 gripe_betainc_nonconformant (dim_vector (0, 0), dv, b.dims ()); |
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2262 |
4844 | 2263 return retval; |
2264 } | |
2265 | |
2266 | |
3146 | 2267 Matrix |
2268 betainc (const Matrix& x, double a, double b) | |
2269 { | |
5275 | 2270 octave_idx_type nr = x.rows (); |
2271 octave_idx_type nc = x.cols (); | |
3146 | 2272 |
2273 Matrix retval (nr, nc); | |
2274 | |
5275 | 2275 for (octave_idx_type j = 0; j < nc; j++) |
2276 for (octave_idx_type i = 0; i < nr; i++) | |
3146 | 2277 retval(i,j) = betainc (x(i,j), a, b); |
2278 | |
2279 return retval; | |
2280 } | |
2281 | |
2282 Matrix | |
2283 betainc (const Matrix& x, double a, const Matrix& b) | |
2284 { | |
2285 Matrix retval; | |
2286 | |
5275 | 2287 octave_idx_type nr = x.rows (); |
2288 octave_idx_type nc = x.cols (); | |
3146 | 2289 |
5275 | 2290 octave_idx_type b_nr = b.rows (); |
2291 octave_idx_type b_nc = b.cols (); | |
3146 | 2292 |
2293 if (nr == b_nr && nc == b_nc) | |
2294 { | |
2295 retval.resize (nr, nc); | |
2296 | |
5275 | 2297 for (octave_idx_type j = 0; j < nc; j++) |
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2298 for (octave_idx_type i = 0; i < nr; i++) |
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2299 retval(i,j) = betainc (x(i,j), a, b(i,j)); |
3146 | 2300 } |
2301 else | |
2302 gripe_betainc_nonconformant (nr, nc, 1, 1, b_nr, b_nc); | |
2303 | |
2304 return retval; | |
2305 } | |
2306 | |
2307 Matrix | |
2308 betainc (const Matrix& x, const Matrix& a, double b) | |
2309 { | |
2310 Matrix retval; | |
2311 | |
5275 | 2312 octave_idx_type nr = x.rows (); |
2313 octave_idx_type nc = x.cols (); | |
3146 | 2314 |
5275 | 2315 octave_idx_type a_nr = a.rows (); |
2316 octave_idx_type a_nc = a.cols (); | |
3146 | 2317 |
2318 if (nr == a_nr && nc == a_nc) | |
2319 { | |
2320 retval.resize (nr, nc); | |
2321 | |
5275 | 2322 for (octave_idx_type j = 0; j < nc; j++) |
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|
2323 for (octave_idx_type i = 0; i < nr; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
2324 retval(i,j) = betainc (x(i,j), a(i,j), b); |
3146 | 2325 } |
2326 else | |
2327 gripe_betainc_nonconformant (nr, nc, a_nr, a_nc, 1, 1); | |
2328 | |
2329 return retval; | |
2330 } | |
2331 | |
2332 Matrix | |
2333 betainc (const Matrix& x, const Matrix& a, const Matrix& b) | |
2334 { | |
2335 Matrix retval; | |
2336 | |
5275 | 2337 octave_idx_type nr = x.rows (); |
2338 octave_idx_type nc = x.cols (); | |
3146 | 2339 |
5275 | 2340 octave_idx_type a_nr = a.rows (); |
2341 octave_idx_type a_nc = a.cols (); | |
3146 | 2342 |
5275 | 2343 octave_idx_type b_nr = b.rows (); |
2344 octave_idx_type b_nc = b.cols (); | |
3146 | 2345 |
2346 if (nr == a_nr && nr == b_nr && nc == a_nc && nc == b_nc) | |
2347 { | |
2348 retval.resize (nr, nc); | |
2349 | |
5275 | 2350 for (octave_idx_type j = 0; j < nc; j++) |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
2351 for (octave_idx_type i = 0; i < nr; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
2352 retval(i,j) = betainc (x(i,j), a(i,j), b(i,j)); |
3146 | 2353 } |
2354 else | |
2355 gripe_betainc_nonconformant (nr, nc, a_nr, a_nc, b_nr, b_nc); | |
2356 | |
2357 return retval; | |
2358 } | |
2359 | |
4844 | 2360 NDArray |
2361 betainc (const NDArray& x, double a, double b) | |
2362 { | |
2363 dim_vector dv = x.dims (); | |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2364 octave_idx_type nel = dv.numel (); |
4844 | 2365 |
2366 NDArray retval (dv); | |
2367 | |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2368 for (octave_idx_type i = 0; i < nel; i++) |
4844 | 2369 retval (i) = betainc (x(i), a, b); |
2370 | |
2371 return retval; | |
2372 } | |
2373 | |
2374 NDArray | |
2375 betainc (const NDArray& x, double a, const NDArray& b) | |
2376 { | |
2377 NDArray retval; | |
2378 dim_vector dv = x.dims (); | |
2379 | |
2380 if (dv == b.dims ()) | |
2381 { | |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2382 octave_idx_type nel = dv.numel (); |
4844 | 2383 |
2384 retval.resize (dv); | |
2385 | |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2386 for (octave_idx_type i = 0; i < nel; i++) |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
2387 retval (i) = betainc (x(i), a, b(i)); |
4844 | 2388 } |
2389 else | |
10258 | 2390 gripe_betainc_nonconformant (dv, dim_vector (0, 0), b.dims ()); |
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
2391 |
4844 | 2392 return retval; |
2393 } | |
2394 | |
2395 NDArray | |
2396 betainc (const NDArray& x, const NDArray& a, double b) | |
2397 { | |
2398 NDArray retval; | |
2399 dim_vector dv = x.dims (); | |
2400 | |
2401 if (dv == a.dims ()) | |
2402 { | |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2403 octave_idx_type nel = dv.numel (); |
4844 | 2404 |
2405 retval.resize (dv); | |
2406 | |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2407 for (octave_idx_type i = 0; i < nel; i++) |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
2408 retval (i) = betainc (x(i), a(i), b); |
4844 | 2409 } |
2410 else | |
10258 | 2411 gripe_betainc_nonconformant (dv, a.dims (), dim_vector (0, 0)); |
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
2412 |
4844 | 2413 return retval; |
2414 } | |
2415 | |
2416 NDArray | |
2417 betainc (const NDArray& x, const NDArray& a, const NDArray& b) | |
2418 { | |
2419 NDArray retval; | |
2420 dim_vector dv = x.dims (); | |
2421 | |
2422 if (dv == a.dims () && dv == b.dims ()) | |
2423 { | |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2424 octave_idx_type nel = dv.numel (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2425 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2426 retval.resize (dv); |
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 for (octave_idx_type i = 0; i < nel; i++) |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
2429 retval (i) = betainc (x(i), a(i), b(i)); |
7789
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 else |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2432 gripe_betainc_nonconformant (dv, a.dims (), b.dims ()); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2433 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2434 return retval; |
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 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2437 float |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2438 betainc (float x, float a, float b) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2439 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2440 float retval; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2441 F77_XFCN (xbetai, XBETAI, (x, a, b, retval)); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2442 return retval; |
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 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2445 FloatMatrix |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2446 betainc (float x, float a, const FloatMatrix& b) |
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 octave_idx_type nr = b.rows (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2449 octave_idx_type nc = b.cols (); |
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 retval (nr, nc); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2452 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2453 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
|
2454 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
|
2455 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
|
2456 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2457 return retval; |
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 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2460 FloatMatrix |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2461 betainc (float x, const FloatMatrix& a, float 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 octave_idx_type nr = a.rows (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2464 octave_idx_type nc = a.cols (); |
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 retval (nr, nc); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2467 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2468 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
|
2469 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
|
2470 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
|
2471 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2472 return retval; |
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 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2475 FloatMatrix |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2476 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
|
2477 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2478 FloatMatrix retval; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2479 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2480 octave_idx_type a_nr = a.rows (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2481 octave_idx_type a_nc = a.cols (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2482 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2483 octave_idx_type b_nr = b.rows (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2484 octave_idx_type b_nc = b.cols (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2485 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2486 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
|
2487 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2488 retval.resize (a_nr, a_nc); |
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 for (octave_idx_type j = 0; j < a_nc; j++) |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
2491 for (octave_idx_type i = 0; i < a_nr; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
2492 retval(i,j) = betainc (x, a(i,j), b(i,j)); |
7789
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 else |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2495 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
|
2496 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2497 return retval; |
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 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2500 FloatNDArray |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2501 betainc (float x, float a, const FloatNDArray& b) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2502 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2503 dim_vector dv = b.dims (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2504 octave_idx_type nel = dv.numel (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2505 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2506 FloatNDArray retval (dv); |
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 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
|
2509 retval (i) = betainc (x, a, b(i)); |
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 return retval; |
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 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2514 FloatNDArray |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2515 betainc (float x, const FloatNDArray& a, float b) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2516 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2517 dim_vector dv = a.dims (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2518 octave_idx_type nel = dv.numel (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2519 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2520 FloatNDArray retval (dv); |
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 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
|
2523 retval (i) = betainc (x, a(i), b); |
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 return retval; |
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 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2528 FloatNDArray |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2529 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
|
2530 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2531 FloatNDArray retval; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2532 dim_vector dv = a.dims (); |
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 if (dv == b.dims ()) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2535 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2536 octave_idx_type nel = dv.numel (); |
4844 | 2537 |
2538 retval.resize (dv); | |
2539 | |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2540 for (octave_idx_type i = 0; i < nel; i++) |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
2541 retval (i) = betainc (x, a(i), b(i)); |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2542 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2543 else |
10258 | 2544 gripe_betainc_nonconformant (dim_vector (0, 0), dv, b.dims ()); |
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
2545 |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2546 return retval; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2547 } |
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 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2550 FloatMatrix |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2551 betainc (const FloatMatrix& x, float a, float 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 octave_idx_type nr = x.rows (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2554 octave_idx_type nc = x.cols (); |
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 retval (nr, nc); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2557 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2558 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
|
2559 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
|
2560 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
|
2561 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2562 return retval; |
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 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2565 FloatMatrix |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2566 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
|
2567 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2568 FloatMatrix retval; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2569 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2570 octave_idx_type nr = x.rows (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2571 octave_idx_type nc = x.cols (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2572 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2573 octave_idx_type b_nr = b.rows (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2574 octave_idx_type b_nc = b.cols (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2575 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2576 if (nr == b_nr && nc == 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 retval.resize (nr, nc); |
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 for (octave_idx_type j = 0; j < nc; j++) |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
2581 for (octave_idx_type i = 0; i < nr; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
2582 retval(i,j) = betainc (x(i,j), a, b(i,j)); |
7789
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 else |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2585 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
|
2586 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2587 return retval; |
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 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2590 FloatMatrix |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2591 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
|
2592 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2593 FloatMatrix retval; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2594 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2595 octave_idx_type nr = x.rows (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2596 octave_idx_type nc = x.cols (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2597 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2598 octave_idx_type a_nr = a.rows (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2599 octave_idx_type a_nc = a.cols (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2600 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2601 if (nr == a_nr && nc == a_nc) |
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 retval.resize (nr, nc); |
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 for (octave_idx_type j = 0; j < nc; j++) |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
2606 for (octave_idx_type i = 0; i < nr; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
2607 retval(i,j) = betainc (x(i,j), a(i,j), b); |
7789
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 else |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2610 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
|
2611 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2612 return retval; |
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 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2615 FloatMatrix |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2616 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
|
2617 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2618 FloatMatrix retval; |
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 octave_idx_type nr = x.rows (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2621 octave_idx_type nc = x.cols (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2622 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2623 octave_idx_type a_nr = a.rows (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2624 octave_idx_type a_nc = a.cols (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2625 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2626 octave_idx_type b_nr = b.rows (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2627 octave_idx_type b_nc = b.cols (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2628 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2629 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
|
2630 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2631 retval.resize (nr, nc); |
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 for (octave_idx_type j = 0; j < nc; j++) |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
2634 for (octave_idx_type i = 0; i < nr; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
2635 retval(i,j) = betainc (x(i,j), a(i,j), b(i,j)); |
7789
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 else |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2638 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
|
2639 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2640 return retval; |
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 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2643 FloatNDArray |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2644 betainc (const FloatNDArray& x, float a, float b) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2645 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2646 dim_vector dv = x.dims (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2647 octave_idx_type nel = dv.numel (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2648 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2649 FloatNDArray retval (dv); |
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 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
|
2652 retval (i) = betainc (x(i), a, b); |
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 return retval; |
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 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2657 FloatNDArray |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2658 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
|
2659 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2660 FloatNDArray retval; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2661 dim_vector dv = x.dims (); |
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 if (dv == b.dims ()) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2664 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2665 octave_idx_type nel = dv.numel (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2666 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2667 retval.resize (dv); |
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 for (octave_idx_type i = 0; i < nel; i++) |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
2670 retval (i) = betainc (x(i), a, b(i)); |
7789
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 else |
10258 | 2673 gripe_betainc_nonconformant (dv, dim_vector (0, 0), b.dims ()); |
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
2674 |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2675 return retval; |
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 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2678 FloatNDArray |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2679 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
|
2680 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2681 FloatNDArray retval; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2682 dim_vector dv = x.dims (); |
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 if (dv == a.dims ()) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2685 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2686 octave_idx_type nel = dv.numel (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2687 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2688 retval.resize (dv); |
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 for (octave_idx_type i = 0; i < nel; i++) |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
2691 retval (i) = betainc (x(i), a(i), b); |
7789
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 else |
10258 | 2694 gripe_betainc_nonconformant (dv, a.dims (), dim_vector (0, 0)); |
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
2695 |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2696 return retval; |
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 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2699 FloatNDArray |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2700 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
|
2701 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2702 FloatNDArray retval; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2703 dim_vector dv = x.dims (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2704 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2705 if (dv == a.dims () && dv == b.dims ()) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2706 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2707 octave_idx_type nel = dv.numel (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2708 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2709 retval.resize (dv); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2710 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2711 for (octave_idx_type i = 0; i < nel; i++) |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
2712 retval (i) = betainc (x(i), a(i), b(i)); |
4844 | 2713 } |
2714 else | |
2715 gripe_betainc_nonconformant (dv, a.dims (), b.dims ()); | |
2716 | |
2717 return retval; | |
2718 } | |
2719 | |
5775 | 2720 // FIXME -- there is still room for improvement here... |
3164 | 2721 |
3146 | 2722 double |
4004 | 2723 gammainc (double x, double a, bool& err) |
3146 | 2724 { |
2725 double retval; | |
3164 | 2726 |
4004 | 2727 err = false; |
3164 | 2728 |
4004 | 2729 if (a < 0.0 || x < 0.0) |
2730 { | |
2731 (*current_liboctave_error_handler) | |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
2732 ("gammainc: A and X must be non-negative"); |
4004 | 2733 |
2734 err = true; | |
2735 } | |
2736 else | |
5278 | 2737 F77_XFCN (xgammainc, XGAMMAINC, (a, x, retval)); |
3164 | 2738 |
3146 | 2739 return retval; |
2740 } | |
2741 | |
2742 Matrix | |
2743 gammainc (double x, const Matrix& a) | |
2744 { | |
5275 | 2745 octave_idx_type nr = a.rows (); |
2746 octave_idx_type nc = a.cols (); | |
3146 | 2747 |
4004 | 2748 Matrix result (nr, nc); |
2749 Matrix retval; | |
2750 | |
2751 bool err; | |
3146 | 2752 |
5275 | 2753 for (octave_idx_type j = 0; j < nc; j++) |
2754 for (octave_idx_type i = 0; i < nr; i++) | |
4004 | 2755 { |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
2756 result(i,j) = gammainc (x, a(i,j), err); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
2757 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
2758 if (err) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
2759 goto done; |
4004 | 2760 } |
2761 | |
2762 retval = result; | |
2763 | |
2764 done: | |
3146 | 2765 |
2766 return retval; | |
2767 } | |
2768 | |
2769 Matrix | |
2770 gammainc (const Matrix& x, double a) | |
2771 { | |
5275 | 2772 octave_idx_type nr = x.rows (); |
2773 octave_idx_type nc = x.cols (); | |
3146 | 2774 |
4004 | 2775 Matrix result (nr, nc); |
2776 Matrix retval; | |
2777 | |
2778 bool err; | |
3146 | 2779 |
5275 | 2780 for (octave_idx_type j = 0; j < nc; j++) |
2781 for (octave_idx_type i = 0; i < nr; i++) | |
4004 | 2782 { |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
2783 result(i,j) = gammainc (x(i,j), a, err); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
2784 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
2785 if (err) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
2786 goto done; |
4004 | 2787 } |
2788 | |
2789 retval = result; | |
2790 | |
2791 done: | |
3146 | 2792 |
2793 return retval; | |
2794 } | |
2795 | |
2796 Matrix | |
2797 gammainc (const Matrix& x, const Matrix& a) | |
2798 { | |
4004 | 2799 Matrix result; |
3146 | 2800 Matrix retval; |
2801 | |
5275 | 2802 octave_idx_type nr = x.rows (); |
2803 octave_idx_type nc = x.cols (); | |
3146 | 2804 |
5275 | 2805 octave_idx_type a_nr = a.rows (); |
2806 octave_idx_type a_nc = a.cols (); | |
3146 | 2807 |
2808 if (nr == a_nr && nc == a_nc) | |
2809 { | |
4004 | 2810 result.resize (nr, nc); |
2811 | |
2812 bool err; | |
3146 | 2813 |
5275 | 2814 for (octave_idx_type j = 0; j < nc; j++) |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
2815 for (octave_idx_type i = 0; i < nr; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
2816 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
2817 result(i,j) = gammainc (x(i,j), a(i,j), err); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
2818 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
2819 if (err) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
2820 goto done; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
2821 } |
4004 | 2822 |
2823 retval = result; | |
3146 | 2824 } |
2825 else | |
2826 (*current_liboctave_error_handler) | |
2827 ("gammainc: nonconformant arguments (arg 1 is %dx%d, arg 2 is %dx%d)", | |
2828 nr, nc, a_nr, a_nc); | |
2829 | |
4004 | 2830 done: |
2831 | |
3146 | 2832 return retval; |
2833 } | |
2834 | |
4844 | 2835 NDArray |
2836 gammainc (double x, const NDArray& a) | |
2837 { | |
2838 dim_vector dv = a.dims (); | |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2839 octave_idx_type nel = dv.numel (); |
4844 | 2840 |
2841 NDArray retval; | |
2842 NDArray result (dv); | |
2843 | |
2844 bool err; | |
2845 | |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2846 for (octave_idx_type i = 0; i < nel; i++) |
4844 | 2847 { |
2848 result (i) = gammainc (x, a(i), err); | |
2849 | |
2850 if (err) | |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
2851 goto done; |
4844 | 2852 } |
2853 | |
2854 retval = result; | |
2855 | |
2856 done: | |
2857 | |
2858 return retval; | |
2859 } | |
2860 | |
2861 NDArray | |
2862 gammainc (const NDArray& x, double a) | |
2863 { | |
2864 dim_vector dv = x.dims (); | |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2865 octave_idx_type nel = dv.numel (); |
4844 | 2866 |
2867 NDArray retval; | |
2868 NDArray result (dv); | |
2869 | |
2870 bool err; | |
2871 | |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2872 for (octave_idx_type i = 0; i < nel; i++) |
4844 | 2873 { |
2874 result (i) = gammainc (x(i), a, err); | |
2875 | |
2876 if (err) | |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
2877 goto done; |
4844 | 2878 } |
2879 | |
2880 retval = result; | |
2881 | |
2882 done: | |
2883 | |
2884 return retval; | |
2885 } | |
2886 | |
2887 NDArray | |
2888 gammainc (const NDArray& x, const NDArray& a) | |
2889 { | |
2890 dim_vector dv = x.dims (); | |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2891 octave_idx_type nel = dv.numel (); |
4844 | 2892 |
2893 NDArray retval; | |
2894 NDArray result; | |
2895 | |
2896 if (dv == a.dims ()) | |
2897 { | |
2898 result.resize (dv); | |
2899 | |
2900 bool err; | |
2901 | |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2902 for (octave_idx_type i = 0; i < nel; i++) |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
2903 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
2904 result (i) = gammainc (x(i), a(i), err); |
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
2905 |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
2906 if (err) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
2907 goto done; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
2908 } |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2909 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2910 retval = result; |
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 else |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2913 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2914 std::string x_str = dv.str (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2915 std::string a_str = a.dims ().str (); |
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 (*current_liboctave_error_handler) |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
2918 ("gammainc: nonconformant arguments (arg 1 is %s, arg 2 is %s)", |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
2919 x_str.c_str (), a_str. c_str ()); |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2920 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2921 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2922 done: |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2923 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2924 return retval; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2925 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2926 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2927 float |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2928 gammainc (float x, float a, bool& err) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2929 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2930 float retval; |
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 err = false; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2933 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2934 if (a < 0.0 || x < 0.0) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2935 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2936 (*current_liboctave_error_handler) |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
2937 ("gammainc: A and X must be non-negative"); |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2938 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2939 err = true; |
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 else |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2942 F77_XFCN (xsgammainc, XSGAMMAINC, (a, x, retval)); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2943 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2944 return retval; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2945 } |
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 FloatMatrix |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2948 gammainc (float x, const FloatMatrix& a) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2949 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2950 octave_idx_type nr = a.rows (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2951 octave_idx_type nc = a.cols (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2952 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2953 FloatMatrix result (nr, nc); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2954 FloatMatrix retval; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2955 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2956 bool err; |
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 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
|
2959 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
|
2960 { |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
2961 result(i,j) = gammainc (x, a(i,j), err); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
2962 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
2963 if (err) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
2964 goto done; |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2965 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2966 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2967 retval = result; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2968 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2969 done: |
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 return retval; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2972 } |
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 FloatMatrix |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2975 gammainc (const FloatMatrix& x, float a) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2976 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2977 octave_idx_type nr = x.rows (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2978 octave_idx_type nc = x.cols (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2979 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2980 FloatMatrix result (nr, nc); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2981 FloatMatrix retval; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2982 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2983 bool err; |
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 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
|
2986 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
|
2987 { |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
2988 result(i,j) = gammainc (x(i,j), a, err); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
2989 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
2990 if (err) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
2991 goto done; |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2992 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2993 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2994 retval = result; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2995 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2996 done: |
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 return retval; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
2999 } |
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 FloatMatrix |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
3002 gammainc (const FloatMatrix& x, const FloatMatrix& a) |
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 FloatMatrix result; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
3005 FloatMatrix retval; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
3006 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
3007 octave_idx_type nr = x.rows (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
3008 octave_idx_type nc = x.cols (); |
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 octave_idx_type a_nr = a.rows (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
3011 octave_idx_type a_nc = a.cols (); |
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 if (nr == a_nr && nc == a_nc) |
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 result.resize (nr, nc); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
3016 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
3017 bool err; |
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 for (octave_idx_type j = 0; j < nc; j++) |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
3020 for (octave_idx_type i = 0; i < nr; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
3021 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
3022 result(i,j) = gammainc (x(i,j), a(i,j), err); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
3023 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
3024 if (err) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
3025 goto done; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
3026 } |
7789
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 retval = result; |
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 else |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
3031 (*current_liboctave_error_handler) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
3032 ("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
|
3033 nr, nc, a_nr, a_nc); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
3034 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
3035 done: |
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 return retval; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
3038 } |
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 FloatNDArray |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
3041 gammainc (float x, const FloatNDArray& a) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
3042 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
3043 dim_vector dv = a.dims (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
3044 octave_idx_type nel = dv.numel (); |
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 FloatNDArray retval; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
3047 FloatNDArray result (dv); |
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 bool err; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
3050 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
3051 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
|
3052 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
3053 result (i) = gammainc (x, a(i), err); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
3054 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
3055 if (err) |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
3056 goto done; |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
3057 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
3058 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
3059 retval = result; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
3060 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
3061 done: |
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 return retval; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
3064 } |
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 FloatNDArray |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
3067 gammainc (const FloatNDArray& x, float a) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
3068 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
3069 dim_vector dv = x.dims (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
3070 octave_idx_type nel = dv.numel (); |
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 FloatNDArray retval; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
3073 FloatNDArray result (dv); |
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 bool err; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
3076 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
3077 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
|
3078 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
3079 result (i) = gammainc (x(i), a, err); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
3080 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
3081 if (err) |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
3082 goto done; |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
3083 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
3084 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
3085 retval = result; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
3086 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
3087 done: |
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 return retval; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
3090 } |
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 FloatNDArray |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
3093 gammainc (const FloatNDArray& x, const FloatNDArray& a) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
3094 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
3095 dim_vector dv = x.dims (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
3096 octave_idx_type nel = dv.numel (); |
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 FloatNDArray retval; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
3099 FloatNDArray result; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
3100 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
3101 if (dv == a.dims ()) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
3102 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
3103 result.resize (dv); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
3104 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
3105 bool err; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
3106 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7638
diff
changeset
|
3107 for (octave_idx_type i = 0; i < nel; i++) |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
3108 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
3109 result (i) = gammainc (x(i), a(i), err); |
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
3110 |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
3111 if (err) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
3112 goto done; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
3113 } |
4844 | 3114 |
3115 retval = result; | |
3116 } | |
3117 else | |
3118 { | |
3119 std::string x_str = dv.str (); | |
3120 std::string a_str = a.dims ().str (); | |
3121 | |
3122 (*current_liboctave_error_handler) | |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
3123 ("gammainc: nonconformant arguments (arg 1 is %s, arg 2 is %s)", |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10258
diff
changeset
|
3124 x_str.c_str (), a_str. c_str ()); |
4844 | 3125 } |
3126 | |
3127 done: | |
3128 | |
3129 return retval; | |
3130 } | |
3131 | |
9812
f80c566bc751
improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents:
9732
diff
changeset
|
3132 |
f80c566bc751
improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents:
9732
diff
changeset
|
3133 Complex rc_log1p (double x) |
f80c566bc751
improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents:
9732
diff
changeset
|
3134 { |
f80c566bc751
improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents:
9732
diff
changeset
|
3135 const double pi = 3.14159265358979323846; |
f80c566bc751
improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents:
9732
diff
changeset
|
3136 return x < -1.0 ? Complex (log (-(1.0 + x)), pi) : Complex (log1p (x)); |
f80c566bc751
improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents:
9732
diff
changeset
|
3137 } |
f80c566bc751
improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents:
9732
diff
changeset
|
3138 |
f80c566bc751
improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents:
9732
diff
changeset
|
3139 FloatComplex rc_log1p (float x) |
f80c566bc751
improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents:
9732
diff
changeset
|
3140 { |
f80c566bc751
improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents:
9732
diff
changeset
|
3141 const float pi = 3.14159265358979323846f; |
f80c566bc751
improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents:
9732
diff
changeset
|
3142 return x < -1.0f ? FloatComplex (logf (-(1.0f + x)), pi) : FloatComplex (log1pf (x)); |
f80c566bc751
improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents:
9732
diff
changeset
|
3143 } |
f80c566bc751
improve unary mapper system
Jaroslav Hajek <highegg@gmail.com>
parents:
9732
diff
changeset
|
3144 |
9838 | 3145 // This algorithm is due to P. J. Acklam. |
9837
7c70084b125e
improve comment for 9835
Jaroslav Hajek <highegg@gmail.com>
parents:
9835
diff
changeset
|
3146 // See http://home.online.no/~pjacklam/notes/invnorm/ |
7c70084b125e
improve comment for 9835
Jaroslav Hajek <highegg@gmail.com>
parents:
9835
diff
changeset
|
3147 // The rational approximation has relative accuracy 1.15e-9 in the whole region. |
9835
1bb1ed717d2f
implement built-in erfinv
Jaroslav Hajek <highegg@gmail.com>
parents:
9812
diff
changeset
|
3148 // For doubles, it is refined by a single step of Higham's 3rd order method. |
1bb1ed717d2f
implement built-in erfinv
Jaroslav Hajek <highegg@gmail.com>
parents:
9812
diff
changeset
|
3149 // For single precision, the accuracy is already OK, so we skip it to get |
1bb1ed717d2f
implement built-in erfinv
Jaroslav Hajek <highegg@gmail.com>
parents:
9812
diff
changeset
|
3150 // faster evaluation. |
1bb1ed717d2f
implement built-in erfinv
Jaroslav Hajek <highegg@gmail.com>
parents:
9812
diff
changeset
|
3151 |
1bb1ed717d2f
implement built-in erfinv
Jaroslav Hajek <highegg@gmail.com>
parents:
9812
diff
changeset
|
3152 static double do_erfinv (double x, bool refine) |
1bb1ed717d2f
implement built-in erfinv
Jaroslav Hajek <highegg@gmail.com>
parents:
9812
diff
changeset
|
3153 { |
1bb1ed717d2f
implement built-in erfinv
Jaroslav Hajek <highegg@gmail.com>
parents:
9812
diff
changeset
|
3154 // Coefficients of rational approximation. |
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
3155 static const double a[] = |
9835
1bb1ed717d2f
implement built-in erfinv
Jaroslav Hajek <highegg@gmail.com>
parents:
9812
diff
changeset
|
3156 { -2.806989788730439e+01, 1.562324844726888e+02, |
1bb1ed717d2f
implement built-in erfinv
Jaroslav Hajek <highegg@gmail.com>
parents:
9812
diff
changeset
|
3157 -1.951109208597547e+02, 9.783370457507161e+01, |
1bb1ed717d2f
implement built-in erfinv
Jaroslav Hajek <highegg@gmail.com>
parents:
9812
diff
changeset
|
3158 -2.168328665628878e+01, 1.772453852905383e+00 }; |
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
3159 static const double b[] = |
9835
1bb1ed717d2f
implement built-in erfinv
Jaroslav Hajek <highegg@gmail.com>
parents:
9812
diff
changeset
|
3160 { -5.447609879822406e+01, 1.615858368580409e+02, |
1bb1ed717d2f
implement built-in erfinv
Jaroslav Hajek <highegg@gmail.com>
parents:
9812
diff
changeset
|
3161 -1.556989798598866e+02, 6.680131188771972e+01, |
1bb1ed717d2f
implement built-in erfinv
Jaroslav Hajek <highegg@gmail.com>
parents:
9812
diff
changeset
|
3162 -1.328068155288572e+01 }; |
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
3163 static const double c[] = |
9835
1bb1ed717d2f
implement built-in erfinv
Jaroslav Hajek <highegg@gmail.com>
parents:
9812
diff
changeset
|
3164 { -5.504751339936943e-03, -2.279687217114118e-01, |
1bb1ed717d2f
implement built-in erfinv
Jaroslav Hajek <highegg@gmail.com>
parents:
9812
diff
changeset
|
3165 -1.697592457770869e+00, -1.802933168781950e+00, |
1bb1ed717d2f
implement built-in erfinv
Jaroslav Hajek <highegg@gmail.com>
parents:
9812
diff
changeset
|
3166 3.093354679843505e+00, 2.077595676404383e+00 }; |
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
3167 static const double d[] = |
9835
1bb1ed717d2f
implement built-in erfinv
Jaroslav Hajek <highegg@gmail.com>
parents:
9812
diff
changeset
|
3168 { 7.784695709041462e-03, 3.224671290700398e-01, |
1bb1ed717d2f
implement built-in erfinv
Jaroslav Hajek <highegg@gmail.com>
parents:
9812
diff
changeset
|
3169 2.445134137142996e+00, 3.754408661907416e+00 }; |
1bb1ed717d2f
implement built-in erfinv
Jaroslav Hajek <highegg@gmail.com>
parents:
9812
diff
changeset
|
3170 |
1bb1ed717d2f
implement built-in erfinv
Jaroslav Hajek <highegg@gmail.com>
parents:
9812
diff
changeset
|
3171 static const double spi2 = 8.862269254527579e-01; // sqrt(pi)/2. |
1bb1ed717d2f
implement built-in erfinv
Jaroslav Hajek <highegg@gmail.com>
parents:
9812
diff
changeset
|
3172 static const double pbreak = 0.95150; |
1bb1ed717d2f
implement built-in erfinv
Jaroslav Hajek <highegg@gmail.com>
parents:
9812
diff
changeset
|
3173 double ax = fabs (x), y; |
1bb1ed717d2f
implement built-in erfinv
Jaroslav Hajek <highegg@gmail.com>
parents:
9812
diff
changeset
|
3174 |
1bb1ed717d2f
implement built-in erfinv
Jaroslav Hajek <highegg@gmail.com>
parents:
9812
diff
changeset
|
3175 // Select case. |
1bb1ed717d2f
implement built-in erfinv
Jaroslav Hajek <highegg@gmail.com>
parents:
9812
diff
changeset
|
3176 if (ax <= pbreak) |
1bb1ed717d2f
implement built-in erfinv
Jaroslav Hajek <highegg@gmail.com>
parents:
9812
diff
changeset
|
3177 { |
1bb1ed717d2f
implement built-in erfinv
Jaroslav Hajek <highegg@gmail.com>
parents:
9812
diff
changeset
|
3178 // Middle region. |
1bb1ed717d2f
implement built-in erfinv
Jaroslav Hajek <highegg@gmail.com>
parents:
9812
diff
changeset
|
3179 const double q = 0.5 * x, r = q*q; |
1bb1ed717d2f
implement built-in erfinv
Jaroslav Hajek <highegg@gmail.com>
parents:
9812
diff
changeset
|
3180 const double yn = (((((a[0]*r + a[1])*r + a[2])*r + a[3])*r + a[4])*r + a[5])*q; |
1bb1ed717d2f
implement built-in erfinv
Jaroslav Hajek <highegg@gmail.com>
parents:
9812
diff
changeset
|
3181 const double yd = ((((b[0]*r + b[1])*r + b[2])*r + b[3])*r + b[4])*r + 1.0; |
1bb1ed717d2f
implement built-in erfinv
Jaroslav Hajek <highegg@gmail.com>
parents:
9812
diff
changeset
|
3182 y = yn / yd; |
1bb1ed717d2f
implement built-in erfinv
Jaroslav Hajek <highegg@gmail.com>
parents:
9812
diff
changeset
|
3183 } |
1bb1ed717d2f
implement built-in erfinv
Jaroslav Hajek <highegg@gmail.com>
parents:
9812
diff
changeset
|
3184 else if (ax < 1.0) |
1bb1ed717d2f
implement built-in erfinv
Jaroslav Hajek <highegg@gmail.com>
parents:
9812
diff
changeset
|
3185 { |
1bb1ed717d2f
implement built-in erfinv
Jaroslav Hajek <highegg@gmail.com>
parents:
9812
diff
changeset
|
3186 // Tail region. |
1bb1ed717d2f
implement built-in erfinv
Jaroslav Hajek <highegg@gmail.com>
parents:
9812
diff
changeset
|
3187 const double q = sqrt (-2*log (0.5*(1-ax))); |
1bb1ed717d2f
implement built-in erfinv
Jaroslav Hajek <highegg@gmail.com>
parents:
9812
diff
changeset
|
3188 const double yn = ((((c[0]*q + c[1])*q + c[2])*q + c[3])*q + c[4])*q + c[5]; |
1bb1ed717d2f
implement built-in erfinv
Jaroslav Hajek <highegg@gmail.com>
parents:
9812
diff
changeset
|
3189 const double yd = (((d[0]*q + d[1])*q + d[2])*q + d[3])*q + 1.0; |
1bb1ed717d2f
implement built-in erfinv
Jaroslav Hajek <highegg@gmail.com>
parents:
9812
diff
changeset
|
3190 y = yn / yd * signum (-x); |
1bb1ed717d2f
implement built-in erfinv
Jaroslav Hajek <highegg@gmail.com>
parents:
9812
diff
changeset
|
3191 } |
1bb1ed717d2f
implement built-in erfinv
Jaroslav Hajek <highegg@gmail.com>
parents:
9812
diff
changeset
|
3192 else if (ax == 1.0) |
1bb1ed717d2f
implement built-in erfinv
Jaroslav Hajek <highegg@gmail.com>
parents:
9812
diff
changeset
|
3193 return octave_Inf * signum (x); |
1bb1ed717d2f
implement built-in erfinv
Jaroslav Hajek <highegg@gmail.com>
parents:
9812
diff
changeset
|
3194 else |
1bb1ed717d2f
implement built-in erfinv
Jaroslav Hajek <highegg@gmail.com>
parents:
9812
diff
changeset
|
3195 return octave_NaN; |
1bb1ed717d2f
implement built-in erfinv
Jaroslav Hajek <highegg@gmail.com>
parents:
9812
diff
changeset
|
3196 |
1bb1ed717d2f
implement built-in erfinv
Jaroslav Hajek <highegg@gmail.com>
parents:
9812
diff
changeset
|
3197 if (refine) |
1bb1ed717d2f
implement built-in erfinv
Jaroslav Hajek <highegg@gmail.com>
parents:
9812
diff
changeset
|
3198 { |
1bb1ed717d2f
implement built-in erfinv
Jaroslav Hajek <highegg@gmail.com>
parents:
9812
diff
changeset
|
3199 // One iteration of Halley's method gives full precision. |
1bb1ed717d2f
implement built-in erfinv
Jaroslav Hajek <highegg@gmail.com>
parents:
9812
diff
changeset
|
3200 double u = (erf(y) - x) * spi2 * exp (y*y); |
1bb1ed717d2f
implement built-in erfinv
Jaroslav Hajek <highegg@gmail.com>
parents:
9812
diff
changeset
|
3201 y -= u / (1 + y*u); |
1bb1ed717d2f
implement built-in erfinv
Jaroslav Hajek <highegg@gmail.com>
parents:
9812
diff
changeset
|
3202 } |
1bb1ed717d2f
implement built-in erfinv
Jaroslav Hajek <highegg@gmail.com>
parents:
9812
diff
changeset
|
3203 |
1bb1ed717d2f
implement built-in erfinv
Jaroslav Hajek <highegg@gmail.com>
parents:
9812
diff
changeset
|
3204 return y; |
1bb1ed717d2f
implement built-in erfinv
Jaroslav Hajek <highegg@gmail.com>
parents:
9812
diff
changeset
|
3205 } |
1bb1ed717d2f
implement built-in erfinv
Jaroslav Hajek <highegg@gmail.com>
parents:
9812
diff
changeset
|
3206 |
1bb1ed717d2f
implement built-in erfinv
Jaroslav Hajek <highegg@gmail.com>
parents:
9812
diff
changeset
|
3207 double erfinv (double x) |
1bb1ed717d2f
implement built-in erfinv
Jaroslav Hajek <highegg@gmail.com>
parents:
9812
diff
changeset
|
3208 { |
1bb1ed717d2f
implement built-in erfinv
Jaroslav Hajek <highegg@gmail.com>
parents:
9812
diff
changeset
|
3209 return do_erfinv (x, true); |
1bb1ed717d2f
implement built-in erfinv
Jaroslav Hajek <highegg@gmail.com>
parents:
9812
diff
changeset
|
3210 } |
1bb1ed717d2f
implement built-in erfinv
Jaroslav Hajek <highegg@gmail.com>
parents:
9812
diff
changeset
|
3211 |
1bb1ed717d2f
implement built-in erfinv
Jaroslav Hajek <highegg@gmail.com>
parents:
9812
diff
changeset
|
3212 float erfinv (float x) |
1bb1ed717d2f
implement built-in erfinv
Jaroslav Hajek <highegg@gmail.com>
parents:
9812
diff
changeset
|
3213 { |
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
3214 return do_erfinv (x, false); |
9835
1bb1ed717d2f
implement built-in erfinv
Jaroslav Hajek <highegg@gmail.com>
parents:
9812
diff
changeset
|
3215 } |
10391
59e34bcdff13
implement built-in erfcx
Jaroslav Hajek <highegg@gmail.com>
parents:
10352
diff
changeset
|
3216 |
59e34bcdff13
implement built-in erfcx
Jaroslav Hajek <highegg@gmail.com>
parents:
10352
diff
changeset
|
3217 // Implementation based on the Fortran code by W.J.Cody |
59e34bcdff13
implement built-in erfcx
Jaroslav Hajek <highegg@gmail.com>
parents:
10352
diff
changeset
|
3218 // see http://www.netlib.org/specfun/erf. |
59e34bcdff13
implement built-in erfcx
Jaroslav Hajek <highegg@gmail.com>
parents:
10352
diff
changeset
|
3219 // Templatized and simplified workflow. |
59e34bcdff13
implement built-in erfcx
Jaroslav Hajek <highegg@gmail.com>
parents:
10352
diff
changeset
|
3220 |
59e34bcdff13
implement built-in erfcx
Jaroslav Hajek <highegg@gmail.com>
parents:
10352
diff
changeset
|
3221 // FIXME: Maybe this should be globally visible. |
59e34bcdff13
implement built-in erfcx
Jaroslav Hajek <highegg@gmail.com>
parents:
10352
diff
changeset
|
3222 static inline float erfc (float x) { return erfcf (x); } |
59e34bcdff13
implement built-in erfcx
Jaroslav Hajek <highegg@gmail.com>
parents:
10352
diff
changeset
|
3223 |
59e34bcdff13
implement built-in erfcx
Jaroslav Hajek <highegg@gmail.com>
parents:
10352
diff
changeset
|
3224 template <class T> |
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
3225 static T |
10391
59e34bcdff13
implement built-in erfcx
Jaroslav Hajek <highegg@gmail.com>
parents:
10352
diff
changeset
|
3226 erfcx_impl (T x) |
59e34bcdff13
implement built-in erfcx
Jaroslav Hajek <highegg@gmail.com>
parents:
10352
diff
changeset
|
3227 { |
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
3228 static const T c[] = |
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
3229 { |
10391
59e34bcdff13
implement built-in erfcx
Jaroslav Hajek <highegg@gmail.com>
parents:
10352
diff
changeset
|
3230 5.64188496988670089e-1,8.88314979438837594, |
59e34bcdff13
implement built-in erfcx
Jaroslav Hajek <highegg@gmail.com>
parents:
10352
diff
changeset
|
3231 6.61191906371416295e+1,2.98635138197400131e+2, |
59e34bcdff13
implement built-in erfcx
Jaroslav Hajek <highegg@gmail.com>
parents:
10352
diff
changeset
|
3232 8.81952221241769090e+2,1.71204761263407058e+3, |
59e34bcdff13
implement built-in erfcx
Jaroslav Hajek <highegg@gmail.com>
parents:
10352
diff
changeset
|
3233 2.05107837782607147e+3,1.23033935479799725e+3, |
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
3234 2.15311535474403846e-8 |
10391
59e34bcdff13
implement built-in erfcx
Jaroslav Hajek <highegg@gmail.com>
parents:
10352
diff
changeset
|
3235 }; |
59e34bcdff13
implement built-in erfcx
Jaroslav Hajek <highegg@gmail.com>
parents:
10352
diff
changeset
|
3236 |
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
3237 static const T d[] = |
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
3238 { |
10391
59e34bcdff13
implement built-in erfcx
Jaroslav Hajek <highegg@gmail.com>
parents:
10352
diff
changeset
|
3239 1.57449261107098347e+1,1.17693950891312499e+2, |
59e34bcdff13
implement built-in erfcx
Jaroslav Hajek <highegg@gmail.com>
parents:
10352
diff
changeset
|
3240 5.37181101862009858e+2,1.62138957456669019e+3, |
59e34bcdff13
implement built-in erfcx
Jaroslav Hajek <highegg@gmail.com>
parents:
10352
diff
changeset
|
3241 3.29079923573345963e+3,4.36261909014324716e+3, |
59e34bcdff13
implement built-in erfcx
Jaroslav Hajek <highegg@gmail.com>
parents:
10352
diff
changeset
|
3242 3.43936767414372164e+3,1.23033935480374942e+3 |
59e34bcdff13
implement built-in erfcx
Jaroslav Hajek <highegg@gmail.com>
parents:
10352
diff
changeset
|
3243 }; |
59e34bcdff13
implement built-in erfcx
Jaroslav Hajek <highegg@gmail.com>
parents:
10352
diff
changeset
|
3244 |
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
3245 static const T p[] = |
10391
59e34bcdff13
implement built-in erfcx
Jaroslav Hajek <highegg@gmail.com>
parents:
10352
diff
changeset
|
3246 { |
59e34bcdff13
implement built-in erfcx
Jaroslav Hajek <highegg@gmail.com>
parents:
10352
diff
changeset
|
3247 3.05326634961232344e-1,3.60344899949804439e-1, |
59e34bcdff13
implement built-in erfcx
Jaroslav Hajek <highegg@gmail.com>
parents:
10352
diff
changeset
|
3248 1.25781726111229246e-1,1.60837851487422766e-2, |
59e34bcdff13
implement built-in erfcx
Jaroslav Hajek <highegg@gmail.com>
parents:
10352
diff
changeset
|
3249 6.58749161529837803e-4,1.63153871373020978e-2 |
59e34bcdff13
implement built-in erfcx
Jaroslav Hajek <highegg@gmail.com>
parents:
10352
diff
changeset
|
3250 }; |
59e34bcdff13
implement built-in erfcx
Jaroslav Hajek <highegg@gmail.com>
parents:
10352
diff
changeset
|
3251 |
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
3252 static const T q[] = |
10391
59e34bcdff13
implement built-in erfcx
Jaroslav Hajek <highegg@gmail.com>
parents:
10352
diff
changeset
|
3253 { |
59e34bcdff13
implement built-in erfcx
Jaroslav Hajek <highegg@gmail.com>
parents:
10352
diff
changeset
|
3254 2.56852019228982242,1.87295284992346047, |
59e34bcdff13
implement built-in erfcx
Jaroslav Hajek <highegg@gmail.com>
parents:
10352
diff
changeset
|
3255 5.27905102951428412e-1,6.05183413124413191e-2, |
59e34bcdff13
implement built-in erfcx
Jaroslav Hajek <highegg@gmail.com>
parents:
10352
diff
changeset
|
3256 2.33520497626869185e-3 |
59e34bcdff13
implement built-in erfcx
Jaroslav Hajek <highegg@gmail.com>
parents:
10352
diff
changeset
|
3257 }; |
59e34bcdff13
implement built-in erfcx
Jaroslav Hajek <highegg@gmail.com>
parents:
10352
diff
changeset
|
3258 |
59e34bcdff13
implement built-in erfcx
Jaroslav Hajek <highegg@gmail.com>
parents:
10352
diff
changeset
|
3259 static const T sqrpi = 5.6418958354775628695e-1; |
59e34bcdff13
implement built-in erfcx
Jaroslav Hajek <highegg@gmail.com>
parents:
10352
diff
changeset
|
3260 static const T xhuge = sqrt (1.0 / std::numeric_limits<T>::epsilon ()); |
59e34bcdff13
implement built-in erfcx
Jaroslav Hajek <highegg@gmail.com>
parents:
10352
diff
changeset
|
3261 static const T xneg = -sqrt (log (std::numeric_limits<T>::max ()/2.0)); |
59e34bcdff13
implement built-in erfcx
Jaroslav Hajek <highegg@gmail.com>
parents:
10352
diff
changeset
|
3262 |
59e34bcdff13
implement built-in erfcx
Jaroslav Hajek <highegg@gmail.com>
parents:
10352
diff
changeset
|
3263 double y = fabs (x), result; |
59e34bcdff13
implement built-in erfcx
Jaroslav Hajek <highegg@gmail.com>
parents:
10352
diff
changeset
|
3264 if (x < xneg) |
59e34bcdff13
implement built-in erfcx
Jaroslav Hajek <highegg@gmail.com>
parents:
10352
diff
changeset
|
3265 result = octave_Inf; |
59e34bcdff13
implement built-in erfcx
Jaroslav Hajek <highegg@gmail.com>
parents:
10352
diff
changeset
|
3266 else if (y <= 0.46875) |
59e34bcdff13
implement built-in erfcx
Jaroslav Hajek <highegg@gmail.com>
parents:
10352
diff
changeset
|
3267 result = std::exp (x*x) * erfc (x); |
59e34bcdff13
implement built-in erfcx
Jaroslav Hajek <highegg@gmail.com>
parents:
10352
diff
changeset
|
3268 else |
59e34bcdff13
implement built-in erfcx
Jaroslav Hajek <highegg@gmail.com>
parents:
10352
diff
changeset
|
3269 { |
59e34bcdff13
implement built-in erfcx
Jaroslav Hajek <highegg@gmail.com>
parents:
10352
diff
changeset
|
3270 if (y <= 4.0) |
59e34bcdff13
implement built-in erfcx
Jaroslav Hajek <highegg@gmail.com>
parents:
10352
diff
changeset
|
3271 { |
59e34bcdff13
implement built-in erfcx
Jaroslav Hajek <highegg@gmail.com>
parents:
10352
diff
changeset
|
3272 double xnum = c[8]*y, xden = y; |
59e34bcdff13
implement built-in erfcx
Jaroslav Hajek <highegg@gmail.com>
parents:
10352
diff
changeset
|
3273 for (int i = 0; i < 7; i++) |
59e34bcdff13
implement built-in erfcx
Jaroslav Hajek <highegg@gmail.com>
parents:
10352
diff
changeset
|
3274 { |
59e34bcdff13
implement built-in erfcx
Jaroslav Hajek <highegg@gmail.com>
parents:
10352
diff
changeset
|
3275 xnum = (xnum + c[i]) * y; |
59e34bcdff13
implement built-in erfcx
Jaroslav Hajek <highegg@gmail.com>
parents:
10352
diff
changeset
|
3276 xden = (xden + d[i]) * y; |
59e34bcdff13
implement built-in erfcx
Jaroslav Hajek <highegg@gmail.com>
parents:
10352
diff
changeset
|
3277 } |
59e34bcdff13
implement built-in erfcx
Jaroslav Hajek <highegg@gmail.com>
parents:
10352
diff
changeset
|
3278 |
59e34bcdff13
implement built-in erfcx
Jaroslav Hajek <highegg@gmail.com>
parents:
10352
diff
changeset
|
3279 result = (xnum + c[7]) / (xden + d[7]); |
59e34bcdff13
implement built-in erfcx
Jaroslav Hajek <highegg@gmail.com>
parents:
10352
diff
changeset
|
3280 } |
59e34bcdff13
implement built-in erfcx
Jaroslav Hajek <highegg@gmail.com>
parents:
10352
diff
changeset
|
3281 else if (y <= xhuge) |
59e34bcdff13
implement built-in erfcx
Jaroslav Hajek <highegg@gmail.com>
parents:
10352
diff
changeset
|
3282 { |
59e34bcdff13
implement built-in erfcx
Jaroslav Hajek <highegg@gmail.com>
parents:
10352
diff
changeset
|
3283 double y2 = 1/(y*y), xnum = p[5]*y2, xden = y2; |
59e34bcdff13
implement built-in erfcx
Jaroslav Hajek <highegg@gmail.com>
parents:
10352
diff
changeset
|
3284 for (int i = 0; i < 4; i++) |
59e34bcdff13
implement built-in erfcx
Jaroslav Hajek <highegg@gmail.com>
parents:
10352
diff
changeset
|
3285 { |
59e34bcdff13
implement built-in erfcx
Jaroslav Hajek <highegg@gmail.com>
parents:
10352
diff
changeset
|
3286 xnum = (xnum + p[i]) * y2; |
59e34bcdff13
implement built-in erfcx
Jaroslav Hajek <highegg@gmail.com>
parents:
10352
diff
changeset
|
3287 xden = (xden + q[i]) * y2; |
59e34bcdff13
implement built-in erfcx
Jaroslav Hajek <highegg@gmail.com>
parents:
10352
diff
changeset
|
3288 } |
59e34bcdff13
implement built-in erfcx
Jaroslav Hajek <highegg@gmail.com>
parents:
10352
diff
changeset
|
3289 |
59e34bcdff13
implement built-in erfcx
Jaroslav Hajek <highegg@gmail.com>
parents:
10352
diff
changeset
|
3290 result = y2 * (xnum + p[4]) / (xden + q[4]); |
59e34bcdff13
implement built-in erfcx
Jaroslav Hajek <highegg@gmail.com>
parents:
10352
diff
changeset
|
3291 result = (sqrpi - result) / y; |
59e34bcdff13
implement built-in erfcx
Jaroslav Hajek <highegg@gmail.com>
parents:
10352
diff
changeset
|
3292 } |
59e34bcdff13
implement built-in erfcx
Jaroslav Hajek <highegg@gmail.com>
parents:
10352
diff
changeset
|
3293 else |
59e34bcdff13
implement built-in erfcx
Jaroslav Hajek <highegg@gmail.com>
parents:
10352
diff
changeset
|
3294 result = sqrpi / y; |
59e34bcdff13
implement built-in erfcx
Jaroslav Hajek <highegg@gmail.com>
parents:
10352
diff
changeset
|
3295 |
59e34bcdff13
implement built-in erfcx
Jaroslav Hajek <highegg@gmail.com>
parents:
10352
diff
changeset
|
3296 // Fix up negative argument. |
59e34bcdff13
implement built-in erfcx
Jaroslav Hajek <highegg@gmail.com>
parents:
10352
diff
changeset
|
3297 if (x < 0) |
59e34bcdff13
implement built-in erfcx
Jaroslav Hajek <highegg@gmail.com>
parents:
10352
diff
changeset
|
3298 { |
59e34bcdff13
implement built-in erfcx
Jaroslav Hajek <highegg@gmail.com>
parents:
10352
diff
changeset
|
3299 double y2 = ceil (x / 16.0) * 16.0, del = (x-y2)*(x+y2); |
59e34bcdff13
implement built-in erfcx
Jaroslav Hajek <highegg@gmail.com>
parents:
10352
diff
changeset
|
3300 result = 2*(std::exp(y2*y2) * std::exp(del)) - result; |
59e34bcdff13
implement built-in erfcx
Jaroslav Hajek <highegg@gmail.com>
parents:
10352
diff
changeset
|
3301 } |
59e34bcdff13
implement built-in erfcx
Jaroslav Hajek <highegg@gmail.com>
parents:
10352
diff
changeset
|
3302 } |
59e34bcdff13
implement built-in erfcx
Jaroslav Hajek <highegg@gmail.com>
parents:
10352
diff
changeset
|
3303 |
59e34bcdff13
implement built-in erfcx
Jaroslav Hajek <highegg@gmail.com>
parents:
10352
diff
changeset
|
3304 return result; |
59e34bcdff13
implement built-in erfcx
Jaroslav Hajek <highegg@gmail.com>
parents:
10352
diff
changeset
|
3305 } |
59e34bcdff13
implement built-in erfcx
Jaroslav Hajek <highegg@gmail.com>
parents:
10352
diff
changeset
|
3306 |
59e34bcdff13
implement built-in erfcx
Jaroslav Hajek <highegg@gmail.com>
parents:
10352
diff
changeset
|
3307 double erfcx (double x) |
59e34bcdff13
implement built-in erfcx
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parents:
10352
diff
changeset
|
3308 { |
59e34bcdff13
implement built-in erfcx
Jaroslav Hajek <highegg@gmail.com>
parents:
10352
diff
changeset
|
3309 return erfcx_impl (x); |
59e34bcdff13
implement built-in erfcx
Jaroslav Hajek <highegg@gmail.com>
parents:
10352
diff
changeset
|
3310 } |
59e34bcdff13
implement built-in erfcx
Jaroslav Hajek <highegg@gmail.com>
parents:
10352
diff
changeset
|
3311 |
59e34bcdff13
implement built-in erfcx
Jaroslav Hajek <highegg@gmail.com>
parents:
10352
diff
changeset
|
3312 float erfcx (float x) |
59e34bcdff13
implement built-in erfcx
Jaroslav Hajek <highegg@gmail.com>
parents:
10352
diff
changeset
|
3313 { |
59e34bcdff13
implement built-in erfcx
Jaroslav Hajek <highegg@gmail.com>
parents:
10352
diff
changeset
|
3314 return erfcx_impl (x); |
59e34bcdff13
implement built-in erfcx
Jaroslav Hajek <highegg@gmail.com>
parents:
10352
diff
changeset
|
3315 } |