Mercurial > octave-libgccjit
annotate src/DLD-FUNCTIONS/besselj.cc @ 7919:9d080df0c843
new NDArray constructor for ArrayN<octave_idx_type>
author | David Bateman <dbateman@free.fr> |
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date | Mon, 30 Jun 2008 15:51:31 +0200 |
parents | 82be108cc558 |
children | ab0674a8b345 |
rev | line source |
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3155 | 1 /* |
2 | |
7017 | 3 Copyright (C) 1997, 1998, 1999, 2000, 2001, 2002, 2004, 2005, 2006, |
4 2007 John W. Eaton | |
3155 | 5 |
6 This file is part of Octave. | |
7 | |
8 Octave is free software; you can redistribute it and/or modify it | |
9 under the terms of the GNU General Public License as published by the | |
7016 | 10 Free Software Foundation; either version 3 of the License, or (at your |
11 option) any later version. | |
3155 | 12 |
13 Octave is distributed in the hope that it will be useful, but WITHOUT | |
14 ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or | |
15 FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License | |
16 for more details. | |
17 | |
18 You should have received a copy of the GNU General Public License | |
7016 | 19 along with Octave; see the file COPYING. If not, see |
20 <http://www.gnu.org/licenses/>. | |
3155 | 21 |
22 */ | |
23 | |
24 #ifdef HAVE_CONFIG_H | |
25 #include <config.h> | |
26 #endif | |
27 | |
28 #include "lo-specfun.h" | |
4153 | 29 #include "quit.h" |
3155 | 30 |
31 #include "defun-dld.h" | |
32 #include "error.h" | |
33 #include "gripes.h" | |
34 #include "oct-obj.h" | |
35 #include "utils.h" | |
36 | |
3220 | 37 enum bessel_type |
38 { | |
39 BESSEL_J, | |
40 BESSEL_Y, | |
41 BESSEL_I, | |
42 BESSEL_K, | |
43 BESSEL_H1, | |
44 BESSEL_H2 | |
45 }; | |
46 | |
47 #define DO_BESSEL(type, alpha, x, scaled, ierr, result) \ | |
3155 | 48 do \ |
49 { \ | |
50 switch (type) \ | |
51 { \ | |
3220 | 52 case BESSEL_J: \ |
53 result = besselj (alpha, x, scaled, ierr); \ | |
54 break; \ | |
55 \ | |
56 case BESSEL_Y: \ | |
57 result = bessely (alpha, x, scaled, ierr); \ | |
3155 | 58 break; \ |
59 \ | |
3220 | 60 case BESSEL_I: \ |
61 result = besseli (alpha, x, scaled, ierr); \ | |
3155 | 62 break; \ |
63 \ | |
3220 | 64 case BESSEL_K: \ |
65 result = besselk (alpha, x, scaled, ierr); \ | |
3155 | 66 break; \ |
67 \ | |
3220 | 68 case BESSEL_H1: \ |
69 result = besselh1 (alpha, x, scaled, ierr); \ | |
70 break; \ | |
71 \ | |
72 case BESSEL_H2: \ | |
73 result = besselh2 (alpha, x, scaled, ierr); \ | |
3155 | 74 break; \ |
75 \ | |
76 default: \ | |
77 break; \ | |
78 } \ | |
79 } \ | |
80 while (0) | |
81 | |
82 static void | |
3220 | 83 gripe_bessel_arg (const char *fn, const char *arg) |
3155 | 84 { |
3220 | 85 error ("%s: expecting scalar or matrix as %s argument", fn, arg); |
3155 | 86 } |
87 | |
88 octave_value_list | |
3220 | 89 do_bessel (enum bessel_type type, const char *fn, |
90 const octave_value_list& args, int nargout) | |
3155 | 91 { |
3220 | 92 octave_value_list retval; |
3155 | 93 |
94 int nargin = args.length (); | |
95 | |
3220 | 96 if (nargin == 2 || nargin == 3) |
3155 | 97 { |
3220 | 98 bool scaled = (nargin == 3); |
99 | |
3155 | 100 octave_value alpha_arg = args(0); |
3220 | 101 octave_value x_arg = args(1); |
3155 | 102 |
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103 if (alpha_arg.is_single_type () || x_arg.is_single_type ()) |
3155 | 104 { |
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105 if (alpha_arg.is_scalar_type ()) |
3155 | 106 { |
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107 float alpha = args(0).float_value (); |
4844 | 108 |
109 if (! error_state) | |
3220 | 110 { |
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111 if (x_arg.is_scalar_type ()) |
3220 | 112 { |
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113 FloatComplex x = x_arg.float_complex_value (); |
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114 |
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115 if (! error_state) |
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116 { |
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117 octave_idx_type ierr; |
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118 octave_value result; |
3155 | 119 |
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120 DO_BESSEL (type, alpha, x, scaled, ierr, result); |
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121 |
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122 if (nargout > 1) |
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123 retval(1) = static_cast<float> (ierr); |
3220 | 124 |
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125 retval(0) = result; |
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126 } |
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127 else |
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128 gripe_bessel_arg (fn, "second"); |
3220 | 129 } |
130 else | |
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131 { |
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132 FloatComplexNDArray x = x_arg.float_complex_array_value (); |
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133 |
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134 if (! error_state) |
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135 { |
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136 ArrayN<octave_idx_type> ierr; |
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137 octave_value result; |
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138 |
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139 DO_BESSEL (type, alpha, x, scaled, ierr, result); |
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140 |
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141 if (nargout > 1) |
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142 retval(1) = NDArray (ierr); |
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143 |
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144 retval(0) = result; |
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145 } |
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146 else |
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147 gripe_bessel_arg (fn, "second"); |
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148 } |
3220 | 149 } |
150 else | |
4844 | 151 gripe_bessel_arg (fn, "first"); |
152 } | |
153 else | |
154 { | |
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155 dim_vector dv0 = args(0).dims (); |
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156 dim_vector dv1 = args(1).dims (); |
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157 |
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158 bool args0_is_row_vector = (dv0 (1) == dv0.numel ()); |
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159 bool args1_is_col_vector = (dv1 (0) == dv1.numel ()); |
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160 |
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161 if (args0_is_row_vector && args1_is_col_vector) |
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162 { |
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163 FloatRowVector ralpha = args(0).float_row_vector_value (); |
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164 |
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165 if (! error_state) |
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166 { |
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167 FloatComplexColumnVector cx = |
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168 x_arg.float_complex_column_vector_value (); |
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169 |
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170 if (! error_state) |
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171 { |
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172 Array2<octave_idx_type> ierr; |
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173 octave_value result; |
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174 |
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175 DO_BESSEL (type, ralpha, cx, scaled, ierr, result); |
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176 |
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177 if (nargout > 1) |
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178 retval(1) = NDArray (ierr); |
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179 |
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180 retval(0) = result; |
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181 } |
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182 else |
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183 gripe_bessel_arg (fn, "second"); |
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184 } |
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185 else |
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186 gripe_bessel_arg (fn, "first"); |
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187 } |
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188 else |
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189 { |
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190 FloatNDArray alpha = args(0).float_array_value (); |
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191 |
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192 if (! error_state) |
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193 { |
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194 if (x_arg.is_scalar_type ()) |
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195 { |
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196 FloatComplex x = x_arg.float_complex_value (); |
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197 |
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198 if (! error_state) |
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199 { |
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200 ArrayN<octave_idx_type> ierr; |
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201 octave_value result; |
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202 |
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203 DO_BESSEL (type, alpha, x, scaled, ierr, result); |
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204 |
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205 if (nargout > 1) |
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206 retval(1) = NDArray (ierr); |
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207 |
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208 retval(0) = result; |
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209 } |
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210 else |
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211 gripe_bessel_arg (fn, "second"); |
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212 } |
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213 else |
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214 { |
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215 FloatComplexNDArray x = x_arg.float_complex_array_value (); |
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216 |
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217 if (! error_state) |
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218 { |
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219 ArrayN<octave_idx_type> ierr; |
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220 octave_value result; |
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221 |
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222 DO_BESSEL (type, alpha, x, scaled, ierr, result); |
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223 |
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224 if (nargout > 1) |
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225 retval(1) = NDArray (ierr); |
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226 |
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227 retval(0) = result; |
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228 } |
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229 else |
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230 gripe_bessel_arg (fn, "second"); |
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231 } |
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232 } |
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233 else |
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234 gripe_bessel_arg (fn, "first"); |
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235 } |
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236 } |
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237 } |
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238 else |
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239 { |
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240 if (alpha_arg.is_scalar_type ()) |
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241 { |
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242 double alpha = args(0).double_value (); |
3220 | 243 |
4844 | 244 if (! error_state) |
245 { | |
246 if (x_arg.is_scalar_type ()) | |
247 { | |
248 Complex x = x_arg.complex_value (); | |
3155 | 249 |
4844 | 250 if (! error_state) |
3155 | 251 { |
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252 octave_idx_type ierr; |
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253 octave_value result; |
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254 |
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255 DO_BESSEL (type, alpha, x, scaled, ierr, result); |
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256 |
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257 if (nargout > 1) |
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258 retval(1) = static_cast<double> (ierr); |
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259 |
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260 retval(0) = result; |
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261 } |
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262 else |
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263 gripe_bessel_arg (fn, "second"); |
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264 } |
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265 else |
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266 { |
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267 ComplexNDArray x = x_arg.complex_array_value (); |
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268 |
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269 if (! error_state) |
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270 { |
5275 | 271 ArrayN<octave_idx_type> ierr; |
3220 | 272 octave_value result; |
273 | |
274 DO_BESSEL (type, alpha, x, scaled, ierr, result); | |
275 | |
276 if (nargout > 1) | |
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277 retval(1) = NDArray (ierr); |
3220 | 278 |
279 retval(0) = result; | |
3155 | 280 } |
4844 | 281 else |
282 gripe_bessel_arg (fn, "second"); | |
3155 | 283 } |
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284 } |
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285 else |
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286 gripe_bessel_arg (fn, "first"); |
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287 } |
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288 else |
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289 { |
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290 dim_vector dv0 = args(0).dims (); |
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291 dim_vector dv1 = args(1).dims (); |
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292 |
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293 bool args0_is_row_vector = (dv0 (1) == dv0.numel ()); |
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294 bool args1_is_col_vector = (dv1 (0) == dv1.numel ()); |
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295 |
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296 if (args0_is_row_vector && args1_is_col_vector) |
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297 { |
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298 RowVector ralpha = args(0).row_vector_value (); |
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299 |
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300 if (! error_state) |
4844 | 301 { |
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302 ComplexColumnVector cx = |
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303 x_arg.complex_column_vector_value (); |
4844 | 304 |
305 if (! error_state) | |
306 { | |
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307 Array2<octave_idx_type> ierr; |
4844 | 308 octave_value result; |
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309 |
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310 DO_BESSEL (type, ralpha, cx, scaled, ierr, result); |
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311 |
4844 | 312 if (nargout > 1) |
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313 retval(1) = NDArray (ierr); |
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314 |
4844 | 315 retval(0) = result; |
316 } | |
317 else | |
318 gripe_bessel_arg (fn, "second"); | |
319 } | |
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320 else |
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321 gripe_bessel_arg (fn, "first"); |
3155 | 322 } |
4844 | 323 else |
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324 { |
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325 NDArray alpha = args(0).array_value (); |
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326 |
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327 if (! error_state) |
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328 { |
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329 if (x_arg.is_scalar_type ()) |
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330 { |
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331 Complex x = x_arg.complex_value (); |
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332 |
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333 if (! error_state) |
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334 { |
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335 ArrayN<octave_idx_type> ierr; |
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336 octave_value result; |
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337 |
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338 DO_BESSEL (type, alpha, x, scaled, ierr, result); |
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339 |
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340 if (nargout > 1) |
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341 retval(1) = NDArray (ierr); |
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342 |
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343 retval(0) = result; |
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344 } |
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345 else |
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346 gripe_bessel_arg (fn, "second"); |
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347 } |
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348 else |
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349 { |
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350 ComplexNDArray x = x_arg.complex_array_value (); |
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351 |
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352 if (! error_state) |
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353 { |
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354 ArrayN<octave_idx_type> ierr; |
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355 octave_value result; |
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356 |
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357 DO_BESSEL (type, alpha, x, scaled, ierr, result); |
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358 |
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359 if (nargout > 1) |
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360 retval(1) = NDArray (ierr); |
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361 |
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362 retval(0) = result; |
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363 } |
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364 else |
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365 gripe_bessel_arg (fn, "second"); |
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366 } |
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367 } |
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368 else |
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369 gripe_bessel_arg (fn, "first"); |
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370 } |
3155 | 371 } |
372 } | |
373 } | |
374 else | |
5823 | 375 print_usage (); |
3155 | 376 |
377 return retval; | |
378 } | |
379 | |
3220 | 380 DEFUN_DLD (besselj, args, nargout, |
3459 | 381 "-*- texinfo -*-\n\ |
382 @deftypefn {Loadable Function} {[@var{j}, @var{ierr}] =} besselj (@var{alpha}, @var{x}, @var{opt})\n\ | |
383 @deftypefnx {Loadable Function} {[@var{y}, @var{ierr}] =} bessely (@var{alpha}, @var{x}, @var{opt})\n\ | |
384 @deftypefnx {Loadable Function} {[@var{i}, @var{ierr}] =} besseli (@var{alpha}, @var{x}, @var{opt})\n\ | |
385 @deftypefnx {Loadable Function} {[@var{k}, @var{ierr}] =} besselk (@var{alpha}, @var{x}, @var{opt})\n\ | |
386 @deftypefnx {Loadable Function} {[@var{h}, @var{ierr}] =} besselh (@var{alpha}, @var{k}, @var{x}, @var{opt})\n\ | |
387 Compute Bessel or Hankel functions of various kinds:\n\ | |
3155 | 388 \n\ |
3459 | 389 @table @code\n\ |
390 @item besselj\n\ | |
391 Bessel functions of the first kind.\n\ | |
392 @item bessely\n\ | |
393 Bessel functions of the second kind.\n\ | |
394 @item besseli\n\ | |
395 Modified Bessel functions of the first kind.\n\ | |
396 @item besselk\n\ | |
397 Modified Bessel functions of the second kind.\n\ | |
398 @item besselh\n\ | |
399 Compute Hankel functions of the first (@var{k} = 1) or second (@var{k}\n\ | |
400 = 2) kind.\n\ | |
401 @end table\n\ | |
3220 | 402 \n\ |
3568 | 403 If the argument @var{opt} is supplied, the result is scaled by the\n\ |
3459 | 404 @code{exp (-I*@var{x})} for @var{k} = 1 or @code{exp (I*@var{x})} for\n\ |
3499 | 405 @var{k} = 2.\n\ |
3220 | 406 \n\ |
3459 | 407 If @var{alpha} is a scalar, the result is the same size as @var{x}.\n\ |
408 If @var{x} is a scalar, the result is the same size as @var{alpha}.\n\ | |
409 If @var{alpha} is a row vector and @var{x} is a column vector, the\n\ | |
410 result is a matrix with @code{length (@var{x})} rows and\n\ | |
411 @code{length (@var{alpha})} columns. Otherwise, @var{alpha} and\n\ | |
412 @var{x} must conform and the result will be the same size.\n\ | |
3155 | 413 \n\ |
3459 | 414 The value of @var{alpha} must be real. The value of @var{x} may be\n\ |
415 complex.\n\ | |
416 \n\ | |
417 If requested, @var{ierr} contains the following status information\n\ | |
418 and is the same size as the result.\n\ | |
3548 | 419 \n\ |
3459 | 420 @enumerate 0\n\ |
421 @item\n\ | |
422 Normal return.\n\ | |
423 @item\n\ | |
424 Input error, return @code{NaN}.\n\ | |
425 @item\n\ | |
426 Overflow, return @code{Inf}.\n\ | |
427 @item\n\ | |
428 Loss of significance by argument reduction results in less than\n\ | |
429 half of machine accuracy.\n\ | |
430 @item\n\ | |
431 Complete loss of significance by argument reduction, return @code{NaN}.\n\ | |
432 @item\n\ | |
433 Error---no computation, algorithm termination condition not met,\n\ | |
434 return @code{NaN}.\n\ | |
435 @end enumerate\n\ | |
436 @end deftypefn") | |
3155 | 437 { |
3220 | 438 return do_bessel (BESSEL_J, "besselj", args, nargout); |
3155 | 439 } |
440 | |
3220 | 441 DEFUN_DLD (bessely, args, nargout, |
3459 | 442 "-*- texinfo -*-\n\ |
443 @deftypefn {Loadable Function} {[@var{y}, @var{ierr}] =} bessely (@var{alpha}, @var{x}, @var{opt})\n\ | |
444 See besselj.\n\ | |
445 @end deftypefn") | |
3155 | 446 { |
3220 | 447 return do_bessel (BESSEL_Y, "bessely", args, nargout); |
3155 | 448 } |
449 | |
3220 | 450 DEFUN_DLD (besseli, args, nargout, |
3459 | 451 "-*- texinfo -*-\n\ |
452 @deftypefn {Loadable Function} {[@var{i}, @var{ierr}] =} besseli (@var{alpha}, @var{x}, @var{opt})\n\ | |
453 See besselj.\n\ | |
454 @end deftypefn") | |
3155 | 455 { |
3220 | 456 return do_bessel (BESSEL_I, "besseli", args, nargout); |
3155 | 457 } |
458 | |
3220 | 459 DEFUN_DLD (besselk, args, nargout, |
3459 | 460 "-*- texinfo -*-\n\ |
461 @deftypefn {Loadable Function} {[@var{k}, @var{ierr}] =} besselk (@var{alpha}, @var{x}, @var{opt})\n\ | |
462 See besselj.\n\ | |
463 @end deftypefn") | |
3220 | 464 { |
465 return do_bessel (BESSEL_K, "besselk", args, nargout); | |
466 } | |
467 | |
468 DEFUN_DLD (besselh, args, nargout, | |
3459 | 469 "-*- texinfo -*-\n\ |
470 @deftypefn {Loadable Function} {[@var{h}, @var{ierr}] =} besselh (@var{alpha}, @var{k}, @var{x}, @var{opt})\n\ | |
471 See besselj.\n\ | |
472 @end deftypefn") | |
3220 | 473 { |
474 octave_value_list retval; | |
475 | |
476 int nargin = args.length (); | |
477 | |
478 if (nargin == 2) | |
479 { | |
480 retval = do_bessel (BESSEL_H1, "besselh", args, nargout); | |
481 } | |
482 else if (nargin == 3 || nargin == 4) | |
483 { | |
5275 | 484 octave_idx_type kind = args(1).int_value (); |
3220 | 485 |
3810 | 486 if (! error_state) |
3220 | 487 { |
488 octave_value_list tmp_args; | |
489 | |
490 if (nargin == 4) | |
491 tmp_args(2) = args(3); | |
492 | |
493 tmp_args(1) = args(2); | |
494 tmp_args(0) = args(0); | |
495 | |
496 if (kind == 1) | |
497 retval = do_bessel (BESSEL_H1, "besselh", tmp_args, nargout); | |
498 else if (kind == 2) | |
499 retval = do_bessel (BESSEL_H2, "besselh", tmp_args, nargout); | |
500 else | |
501 error ("besselh: expecting K = 1 or 2"); | |
502 } | |
503 else | |
504 error ("besselh: invalid value of K"); | |
505 } | |
506 else | |
5823 | 507 print_usage (); |
3220 | 508 |
509 return retval; | |
510 } | |
511 | |
512 DEFUN_DLD (airy, args, nargout, | |
3459 | 513 "-*- texinfo -*-\n\ |
514 @deftypefn {Loadable Function} {[@var{a}, @var{ierr}] =} airy (@var{k}, @var{z}, @var{opt})\n\ | |
3220 | 515 Compute Airy functions of the first and second kind, and their\n\ |
516 derivatives.\n\ | |
517 \n\ | |
3459 | 518 @example\n\ |
7031 | 519 K Function Scale factor (if 'opt' is supplied)\n\ |
520 --- -------- ---------------------------------------\n\ | |
521 0 Ai (Z) exp ((2/3) * Z * sqrt (Z))\n\ | |
522 1 dAi(Z)/dZ exp ((2/3) * Z * sqrt (Z))\n\ | |
523 2 Bi (Z) exp (-abs (real ((2/3) * Z *sqrt (Z))))\n\ | |
524 3 dBi(Z)/dZ exp (-abs (real ((2/3) * Z *sqrt (Z))))\n\ | |
3459 | 525 @end example\n\ |
3220 | 526 \n\ |
3549 | 527 The function call @code{airy (@var{z})} is equivalent to\n\ |
3459 | 528 @code{airy (0, @var{z})}.\n\ |
3155 | 529 \n\ |
3549 | 530 The result is the same size as @var{z}.\n\ |
3220 | 531 \n\ |
3459 | 532 If requested, @var{ierr} contains the following status information and\n\ |
533 is the same size as the result.\n\ | |
3548 | 534 \n\ |
3459 | 535 @enumerate 0\n\ |
536 @item\n\ | |
537 Normal return.\n\ | |
538 @item\n\ | |
539 Input error, return @code{NaN}.\n\ | |
540 @item\n\ | |
541 Overflow, return @code{Inf}.\n\ | |
542 @item\n\ | |
543 Loss of significance by argument reduction results in less than half\n\ | |
544 of machine accuracy.\n\ | |
545 @item\n\ | |
546 Complete loss of significance by argument reduction, return @code{NaN}.\n\ | |
547 @item\n\ | |
548 Error---no computation, algorithm termination condition not met,\n\ | |
5448 | 549 return @code{NaN}.\n\ |
3459 | 550 @end enumerate\n\ |
551 @end deftypefn") | |
3155 | 552 { |
3220 | 553 octave_value_list retval; |
554 | |
555 int nargin = args.length (); | |
556 | |
557 if (nargin > 0 && nargin < 4) | |
558 { | |
559 bool scale = (nargin == 3); | |
560 | |
561 int kind = 0; | |
562 | |
563 if (nargin > 1) | |
564 { | |
5760 | 565 kind = args(0).int_value (); |
3220 | 566 |
567 if (! error_state) | |
568 { | |
569 if (kind < 0 || kind > 3) | |
570 error ("airy: expecting K = 0, 1, 2, or 3"); | |
571 } | |
572 else | |
573 error ("airy: expecting integer value for K"); | |
574 } | |
575 | |
576 if (! error_state) | |
577 { | |
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578 int idx = nargin == 1 ? 0 : 1; |
3220 | 579 |
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580 if (args (idx).is_single_type ()) |
3220 | 581 { |
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582 FloatComplexNDArray z = args(idx).float_complex_array_value (); |
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583 |
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584 if (! error_state) |
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585 { |
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586 ArrayN<octave_idx_type> ierr; |
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587 octave_value result; |
3220 | 588 |
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589 if (kind > 1) |
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590 result = biry (z, kind == 3, scale, ierr); |
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591 else |
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592 result = airy (z, kind == 1, scale, ierr); |
3220 | 593 |
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594 if (nargout > 1) |
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595 retval(1) = NDArray (ierr); |
3220 | 596 |
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597 retval(0) = result; |
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598 } |
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599 else |
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600 error ("airy: expecting complex matrix for Z"); |
3220 | 601 } |
602 else | |
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603 { |
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604 ComplexNDArray z = args(idx).complex_array_value (); |
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605 |
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606 if (! error_state) |
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607 { |
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608 ArrayN<octave_idx_type> ierr; |
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609 octave_value result; |
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610 |
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611 if (kind > 1) |
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612 result = biry (z, kind == 3, scale, ierr); |
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613 else |
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614 result = airy (z, kind == 1, scale, ierr); |
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615 |
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616 if (nargout > 1) |
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617 retval(1) = NDArray (ierr); |
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618 |
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619 retval(0) = result; |
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620 } |
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621 else |
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622 error ("airy: expecting complex matrix for Z"); |
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623 } |
3220 | 624 } |
625 } | |
626 else | |
5823 | 627 print_usage (); |
3220 | 628 |
629 return retval; | |
3155 | 630 } |
631 | |
632 /* | |
633 ;;; Local Variables: *** | |
634 ;;; mode: C++ *** | |
635 ;;; End: *** | |
636 */ |