[37] | 1 | function [out]=detbestlength2(FFTrv,FFTiv,IFFTiv,size1,size2,isreal1,isreal2) |
---|
| 2 | % [out]=detbestlength2(FFTrv,FFTiv,IFFTiv,size1,size2,isreal1,isreal2) |
---|
| 3 | % Determine the best parameters for Overlap-Add FFT-based convolution. |
---|
| 4 | % |
---|
| 5 | % INPUT |
---|
| 6 | % FFTrv: vector with costs of FFT for real 1d vectors |
---|
| 7 | % FFTiv: vector with costs of FFT for complex 1d vectors |
---|
| 8 | % IFFTiv: vector with costs of IFFT for complex 1d vectors |
---|
| 9 | % size1: size(first_image) |
---|
| 10 | % size2: size(second_image) |
---|
| 11 | % isreal1: 1 if first image is real, 0 otherwise (complex) |
---|
| 12 | % isreal2: 1 if second image is real, 0 otherwise (complex) |
---|
| 13 | % OUTPUT |
---|
| 14 | % out: the optimized parameters: |
---|
| 15 | % out.inverse: if 1 the two input have to be inverted |
---|
| 16 | % out.fftxfirst: if one the image has to be fft first along |
---|
| 17 | % x-dimension |
---|
| 18 | % out.ifftxfirst: if one the product of spectra has to be ifft |
---|
| 19 | % first along x-dimensio |
---|
| 20 | % out.nfftx: the best length for fft transform along |
---|
| 21 | % x-dimension |
---|
| 22 | % out.nffty: the best length for fft transform along |
---|
| 23 | % y-dimension |
---|
| 24 | % out.filterxfirst if 1 the filter has to be fft fisrt alng |
---|
| 25 | % x-dimension |
---|
| 26 | % |
---|
| 27 | |
---|
| 28 | out = []; |
---|
| 29 | % the 3 input vectors have to be the same length |
---|
| 30 | L = length(FFTrv); |
---|
| 31 | % a default value (just as Inf) |
---|
| 32 | infinitevalue = 99*10^99; |
---|
| 33 | %++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ |
---|
| 34 | %++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ |
---|
| 35 | %----------------------------------------------------- a image and b filter |
---|
| 36 | if isreal1 && isreal2 |
---|
| 37 | ax = size1(1); |
---|
| 38 | ay = size1(2); |
---|
| 39 | bx = size2(1); |
---|
| 40 | by = size2(2); |
---|
| 41 | |
---|
| 42 | val0 = infinitevalue; |
---|
| 43 | |
---|
| 44 | for ii=1:L |
---|
| 45 | for jj=1:L |
---|
| 46 | if FFTrv(ii)~=0 && FFTrv(jj)~=0 |
---|
| 47 | Lx = ii-bx+1; |
---|
| 48 | Ly = jj-by+1; |
---|
| 49 | if Lx>0 && Ly>0 |
---|
| 50 | nx = ceil(ax/Lx); |
---|
| 51 | ny = ceil(ay/Ly); |
---|
| 52 | |
---|
| 53 | cv1 = nx*ny*(ii*FFTrv(jj) + jj*FFTiv(ii) + jj*IFFTiv(ii) + ii*IFFTiv(jj)) + (ii*FFTrv(jj) + jj*FFTiv(ii)); |
---|
| 54 | cv2 = nx*ny*(ii*FFTrv(jj) + jj*FFTiv(ii) + ii*IFFTiv(jj) + jj*IFFTiv(ii)) + (ii*FFTrv(jj) + jj*FFTiv(ii)); |
---|
| 55 | cv3 = nx*ny*(jj*FFTrv(ii) + ii*FFTiv(jj) + jj*IFFTiv(ii) + ii*IFFTiv(jj)) + (ii*FFTrv(jj) + jj*FFTiv(ii)); |
---|
| 56 | cv4 = nx*ny*(jj*FFTrv(ii) + ii*FFTiv(jj) + ii*IFFTiv(jj) + jj*IFFTiv(ii)) + (ii*FFTrv(jj) + jj*FFTiv(ii)); |
---|
| 57 | |
---|
| 58 | cv5 = nx*ny*(ii*FFTrv(jj) + jj*FFTiv(ii) + jj*IFFTiv(ii) + ii*IFFTiv(jj)) + (jj*FFTrv(ii) + ii*FFTiv(jj)); |
---|
| 59 | cv6 = nx*ny*(ii*FFTrv(jj) + jj*FFTiv(ii) + ii*IFFTiv(jj) + jj*IFFTiv(ii)) + (jj*FFTrv(ii) + ii*FFTiv(jj)); |
---|
| 60 | cv7 = nx*ny*(jj*FFTrv(ii) + ii*FFTiv(jj) + jj*IFFTiv(ii) + ii*IFFTiv(jj)) + (jj*FFTrv(ii) + ii*FFTiv(jj)); |
---|
| 61 | cv8 = nx*ny*(jj*FFTrv(ii) + ii*FFTiv(jj) + ii*IFFTiv(jj) + jj*IFFTiv(ii)) + (jj*FFTrv(ii) + ii*FFTiv(jj)); |
---|
| 62 | |
---|
| 63 | if cv1<val0 |
---|
| 64 | val0 = cv1; |
---|
| 65 | x = ii; |
---|
| 66 | y = jj; |
---|
| 67 | z = 1; |
---|
| 68 | t = 1; |
---|
| 69 | end |
---|
| 70 | if cv2<val0 |
---|
| 71 | val0 = cv2; |
---|
| 72 | x = ii; |
---|
| 73 | y = jj; |
---|
| 74 | z = 2; |
---|
| 75 | t = 1; |
---|
| 76 | end |
---|
| 77 | if cv3<val0 |
---|
| 78 | val0 = cv3; |
---|
| 79 | x = ii; |
---|
| 80 | y = jj; |
---|
| 81 | z = 3; |
---|
| 82 | t = 1; |
---|
| 83 | end |
---|
| 84 | if cv4<val0 |
---|
| 85 | val0 = cv4; |
---|
| 86 | x = ii; |
---|
| 87 | y = jj; |
---|
| 88 | z = 4; |
---|
| 89 | t = 1; |
---|
| 90 | end |
---|
| 91 | if cv5<val0 |
---|
| 92 | val0 = cv5; |
---|
| 93 | x = ii; |
---|
| 94 | y = jj; |
---|
| 95 | z = 1; |
---|
| 96 | t = 0; |
---|
| 97 | end |
---|
| 98 | if cv6<val0 |
---|
| 99 | val0 = cv6; |
---|
| 100 | x = ii; |
---|
| 101 | y = jj; |
---|
| 102 | z = 2; |
---|
| 103 | t = 0; |
---|
| 104 | end |
---|
| 105 | if cv7<val0 |
---|
| 106 | val0 = cv7; |
---|
| 107 | x = ii; |
---|
| 108 | y = jj; |
---|
| 109 | z = 3; |
---|
| 110 | t = 0; |
---|
| 111 | end |
---|
| 112 | if cv8<val0 |
---|
| 113 | val0 = cv8; |
---|
| 114 | x = ii; |
---|
| 115 | y = jj; |
---|
| 116 | z = 4; |
---|
| 117 | t = 0; |
---|
| 118 | end |
---|
| 119 | end |
---|
| 120 | end |
---|
| 121 | end |
---|
| 122 | end |
---|
| 123 | %----------------------------------------------------- a filter and b image |
---|
| 124 | ax = size2(1); |
---|
| 125 | ay = size2(2); |
---|
| 126 | bx = size1(1); |
---|
| 127 | by = size1(2); |
---|
| 128 | |
---|
| 129 | |
---|
| 130 | val1 = infinitevalue; |
---|
| 131 | |
---|
| 132 | for ii=1:L |
---|
| 133 | for jj=1:L |
---|
| 134 | if FFTrv(ii)~=0 && FFTrv(jj)~=0 |
---|
| 135 | Lx = ii-bx+1; |
---|
| 136 | Ly = jj-by+1; |
---|
| 137 | if Lx>0 && Ly>0 |
---|
| 138 | nx = ceil(ax/Lx); |
---|
| 139 | ny = ceil(ay/Ly); |
---|
| 140 | |
---|
| 141 | cv1 = nx*ny*(ii*FFTrv(jj) + jj*FFTiv(ii) + jj*IFFTiv(ii) + ii*IFFTiv(jj)) + (ii*FFTrv(jj) + jj*FFTiv(ii)); |
---|
| 142 | cv2 = nx*ny*(ii*FFTrv(jj) + jj*FFTiv(ii) + ii*IFFTiv(jj) + jj*IFFTiv(ii)) + (ii*FFTrv(jj) + jj*FFTiv(ii)); |
---|
| 143 | cv3 = nx*ny*(jj*FFTrv(ii) + ii*FFTiv(jj) + jj*IFFTiv(ii) + ii*IFFTiv(jj)) + (ii*FFTrv(jj) + jj*FFTiv(ii)); |
---|
| 144 | cv4 = nx*ny*(jj*FFTrv(ii) + ii*FFTiv(jj) + ii*IFFTiv(jj) + jj*IFFTiv(ii)) + (ii*FFTrv(jj) + jj*FFTiv(ii)); |
---|
| 145 | |
---|
| 146 | cv5 = nx*ny*(ii*FFTrv(jj) + jj*FFTiv(ii) + jj*IFFTiv(ii) + ii*IFFTiv(jj)) + (jj*FFTrv(ii) + ii*FFTiv(jj)); |
---|
| 147 | cv6 = nx*ny*(ii*FFTrv(jj) + jj*FFTiv(ii) + ii*IFFTiv(jj) + jj*IFFTiv(ii)) + (jj*FFTrv(ii) + ii*FFTiv(jj)); |
---|
| 148 | cv7 = nx*ny*(jj*FFTrv(ii) + ii*FFTiv(jj) + jj*IFFTiv(ii) + ii*IFFTiv(jj)) + (jj*FFTrv(ii) + ii*FFTiv(jj)); |
---|
| 149 | cv8 = nx*ny*(jj*FFTrv(ii) + ii*FFTiv(jj) + ii*IFFTiv(jj) + jj*IFFTiv(ii)) + (jj*FFTrv(ii) + ii*FFTiv(jj)); |
---|
| 150 | |
---|
| 151 | if cv1<val1 |
---|
| 152 | val1 = cv1; |
---|
| 153 | x = ii; |
---|
| 154 | y = jj; |
---|
| 155 | z = 1; |
---|
| 156 | t = 1; |
---|
| 157 | end |
---|
| 158 | if cv2<val1 |
---|
| 159 | val1 = cv2; |
---|
| 160 | x = ii; |
---|
| 161 | y = jj; |
---|
| 162 | z = 2; |
---|
| 163 | t = 1; |
---|
| 164 | end |
---|
| 165 | if cv3<val1 |
---|
| 166 | val1 = cv3; |
---|
| 167 | x = ii; |
---|
| 168 | y = jj; |
---|
| 169 | z = 3; |
---|
| 170 | t = 1; |
---|
| 171 | end |
---|
| 172 | if cv4<val1 |
---|
| 173 | val1 = cv4; |
---|
| 174 | x = ii; |
---|
| 175 | y = jj; |
---|
| 176 | z = 4; |
---|
| 177 | t = 1; |
---|
| 178 | end |
---|
| 179 | if cv5<val1 |
---|
| 180 | val1 = cv5; |
---|
| 181 | x = ii; |
---|
| 182 | y = jj; |
---|
| 183 | z = 1; |
---|
| 184 | t = 0; |
---|
| 185 | end |
---|
| 186 | if cv6<val1 |
---|
| 187 | val1 = cv6; |
---|
| 188 | x = ii; |
---|
| 189 | y = jj; |
---|
| 190 | z = 2; |
---|
| 191 | t = 0; |
---|
| 192 | end |
---|
| 193 | if cv7<val1 |
---|
| 194 | val1 = cv7; |
---|
| 195 | x = ii; |
---|
| 196 | y = jj; |
---|
| 197 | z = 3; |
---|
| 198 | t = 0; |
---|
| 199 | end |
---|
| 200 | if cv8<val1 |
---|
| 201 | val1 = cv8; |
---|
| 202 | x = ii; |
---|
| 203 | y = jj; |
---|
| 204 | z = 4; |
---|
| 205 | t = 0; |
---|
| 206 | end |
---|
| 207 | end |
---|
| 208 | end |
---|
| 209 | end |
---|
| 210 | end |
---|
| 211 | %-------------------------------------------------------------------------- |
---|
| 212 | if val1<val0 |
---|
| 213 | out.inverse = 1; |
---|
| 214 | if z==1 || z==2 |
---|
| 215 | out.fftxfirst = 0; |
---|
| 216 | else |
---|
| 217 | out.fftxfirst = 1; |
---|
| 218 | end |
---|
| 219 | if z==1 || z==3 |
---|
| 220 | out.ifftxfirst = 1; |
---|
| 221 | else |
---|
| 222 | out.ifftxfirst = 0; |
---|
| 223 | end |
---|
| 224 | else |
---|
| 225 | out.inverse = 0; |
---|
| 226 | if z==1 || z==2 |
---|
| 227 | out.fftxfirst = 0; |
---|
| 228 | else |
---|
| 229 | out.fftxfirst = 1; |
---|
| 230 | end |
---|
| 231 | if z==1 || z==3 |
---|
| 232 | out.ifftxfirst = 1; |
---|
| 233 | else |
---|
| 234 | out.ifftxfirst = 0; |
---|
| 235 | end |
---|
| 236 | end |
---|
| 237 | out.nfftx = x; |
---|
| 238 | out.nffty = y; |
---|
| 239 | if t==1 |
---|
| 240 | out.filterxfirst = 0; |
---|
| 241 | else |
---|
| 242 | out.filterxfirst = 1; |
---|
| 243 | end |
---|
| 244 | return; |
---|
| 245 | end |
---|
| 246 | %++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ |
---|
| 247 | %++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ |
---|
| 248 | %----------------------------------------------------- a image and b filter |
---|
| 249 | if ~isreal1 && ~isreal2 |
---|
| 250 | ax = size1(1); |
---|
| 251 | ay = size1(2); |
---|
| 252 | bx = size2(1); |
---|
| 253 | by = size2(2); |
---|
| 254 | |
---|
| 255 | val0 = infinitevalue; |
---|
| 256 | |
---|
| 257 | for ii=1:L |
---|
| 258 | for jj=1:L |
---|
| 259 | if FFTrv(ii)~=0 && FFTrv(jj)~=0 |
---|
| 260 | Lx = ii-bx+1; |
---|
| 261 | Ly = jj-by+1; |
---|
| 262 | if Lx>0 && Ly>0 |
---|
| 263 | nx = ceil(ax/Lx); |
---|
| 264 | ny = ceil(ay/Ly); |
---|
| 265 | |
---|
| 266 | cv1 = nx*ny*(ii*FFTiv(jj) + jj*FFTiv(ii) + jj*IFFTiv(ii) + ii*IFFTiv(jj)) + (ii*FFTiv(jj) + jj*FFTiv(ii)); |
---|
| 267 | cv2 = nx*ny*(ii*FFTiv(jj) + jj*FFTiv(ii) + ii*IFFTiv(jj) + jj*IFFTiv(ii)) + (ii*FFTiv(jj) + jj*FFTiv(ii)); |
---|
| 268 | cv3 = nx*ny*(jj*FFTiv(ii) + ii*FFTiv(jj) + jj*IFFTiv(ii) + ii*IFFTiv(jj)) + (ii*FFTiv(jj) + jj*FFTiv(ii)); |
---|
| 269 | cv4 = nx*ny*(jj*FFTiv(ii) + ii*FFTiv(jj) + ii*IFFTiv(jj) + jj*IFFTiv(ii)) + (ii*FFTiv(jj) + jj*FFTiv(ii)); |
---|
| 270 | |
---|
| 271 | cv5 = nx*ny*(ii*FFTiv(jj) + jj*FFTiv(ii) + jj*IFFTiv(ii) + ii*IFFTiv(jj)) + (jj*FFTiv(ii) + ii*FFTiv(jj)); |
---|
| 272 | cv6 = nx*ny*(ii*FFTiv(jj) + jj*FFTiv(ii) + ii*IFFTiv(jj) + jj*IFFTiv(ii)) + (jj*FFTiv(ii) + ii*FFTiv(jj)); |
---|
| 273 | cv7 = nx*ny*(jj*FFTiv(ii) + ii*FFTiv(jj) + jj*IFFTiv(ii) + ii*IFFTiv(jj)) + (jj*FFTiv(ii) + ii*FFTiv(jj)); |
---|
| 274 | cv8 = nx*ny*(jj*FFTiv(ii) + ii*FFTiv(jj) + ii*IFFTiv(jj) + jj*IFFTiv(ii)) + (jj*FFTiv(ii) + ii*FFTiv(jj)); |
---|
| 275 | |
---|
| 276 | if cv1<val0 |
---|
| 277 | val0 = cv1; |
---|
| 278 | x = ii; |
---|
| 279 | y = jj; |
---|
| 280 | z = 1; |
---|
| 281 | t = 1; |
---|
| 282 | end |
---|
| 283 | if cv2<val0 |
---|
| 284 | val0 = cv2; |
---|
| 285 | x = ii; |
---|
| 286 | y = jj; |
---|
| 287 | z = 2; |
---|
| 288 | t = 1; |
---|
| 289 | end |
---|
| 290 | if cv3<val0 |
---|
| 291 | val0 = cv3; |
---|
| 292 | x = ii; |
---|
| 293 | y = jj; |
---|
| 294 | z = 3; |
---|
| 295 | t = 1; |
---|
| 296 | end |
---|
| 297 | if cv4<val0 |
---|
| 298 | val0 = cv4; |
---|
| 299 | x = ii; |
---|
| 300 | y = jj; |
---|
| 301 | z = 4; |
---|
| 302 | t = 1; |
---|
| 303 | end |
---|
| 304 | if cv5<val0 |
---|
| 305 | val0 = cv5; |
---|
| 306 | x = ii; |
---|
| 307 | y = jj; |
---|
| 308 | z = 1; |
---|
| 309 | t = 0; |
---|
| 310 | end |
---|
| 311 | if cv6<val0 |
---|
| 312 | val0 = cv6; |
---|
| 313 | x = ii; |
---|
| 314 | y = jj; |
---|
| 315 | z = 2; |
---|
| 316 | t = 0; |
---|
| 317 | end |
---|
| 318 | if cv7<val0 |
---|
| 319 | val0 = cv7; |
---|
| 320 | x = ii; |
---|
| 321 | y = jj; |
---|
| 322 | z = 3; |
---|
| 323 | t = 0; |
---|
| 324 | end |
---|
| 325 | if cv8<val0 |
---|
| 326 | val0 = cv8; |
---|
| 327 | x = ii; |
---|
| 328 | y = jj; |
---|
| 329 | z = 4; |
---|
| 330 | t = 0; |
---|
| 331 | end |
---|
| 332 | end |
---|
| 333 | end |
---|
| 334 | end |
---|
| 335 | end |
---|
| 336 | %----------------------------------------------------- a filter and b image |
---|
| 337 | ax = size2(1); |
---|
| 338 | ay = size2(2); |
---|
| 339 | bx = size1(1); |
---|
| 340 | by = size1(2); |
---|
| 341 | |
---|
| 342 | |
---|
| 343 | val1 = infinitevalue; |
---|
| 344 | |
---|
| 345 | for ii=1:L |
---|
| 346 | for jj=1:L |
---|
| 347 | if FFTiv(ii)~=0 && FFTiv(jj)~=0 |
---|
| 348 | Lx = ii-bx+1; |
---|
| 349 | Ly = jj-by+1; |
---|
| 350 | if Lx>0 && Ly>0 |
---|
| 351 | nx = ceil(ax/Lx); |
---|
| 352 | ny = ceil(ay/Ly); |
---|
| 353 | |
---|
| 354 | cv1 = nx*ny*(ii*FFTiv(jj) + jj*FFTiv(ii) + jj*IFFTiv(ii) + ii*IFFTiv(jj)) + (ii*FFTiv(jj) + jj*FFTiv(ii)); |
---|
| 355 | cv2 = nx*ny*(ii*FFTiv(jj) + jj*FFTiv(ii) + ii*IFFTiv(jj) + jj*IFFTiv(ii)) + (ii*FFTiv(jj) + jj*FFTiv(ii)); |
---|
| 356 | cv3 = nx*ny*(jj*FFTiv(ii) + ii*FFTiv(jj) + jj*IFFTiv(ii) + ii*IFFTiv(jj)) + (ii*FFTiv(jj) + jj*FFTiv(ii)); |
---|
| 357 | cv4 = nx*ny*(jj*FFTiv(ii) + ii*FFTiv(jj) + ii*IFFTiv(jj) + jj*IFFTiv(ii)) + (ii*FFTiv(jj) + jj*FFTiv(ii)); |
---|
| 358 | |
---|
| 359 | cv5 = nx*ny*(ii*FFTiv(jj) + jj*FFTiv(ii) + jj*IFFTiv(ii) + ii*IFFTiv(jj)) + (jj*FFTiv(ii) + ii*FFTiv(jj)); |
---|
| 360 | cv6 = nx*ny*(ii*FFTiv(jj) + jj*FFTiv(ii) + ii*IFFTiv(jj) + jj*IFFTiv(ii)) + (jj*FFTiv(ii) + ii*FFTiv(jj)); |
---|
| 361 | cv7 = nx*ny*(jj*FFTiv(ii) + ii*FFTiv(jj) + jj*IFFTiv(ii) + ii*IFFTiv(jj)) + (jj*FFTiv(ii) + ii*FFTiv(jj)); |
---|
| 362 | cv8 = nx*ny*(jj*FFTiv(ii) + ii*FFTiv(jj) + ii*IFFTiv(jj) + jj*IFFTiv(ii)) + (jj*FFTiv(ii) + ii*FFTiv(jj)); |
---|
| 363 | |
---|
| 364 | if cv1<val1 |
---|
| 365 | val1 = cv1; |
---|
| 366 | x = ii; |
---|
| 367 | y = jj; |
---|
| 368 | z = 1; |
---|
| 369 | t = 1; |
---|
| 370 | end |
---|
| 371 | if cv2<val1 |
---|
| 372 | val1 = cv2; |
---|
| 373 | x = ii; |
---|
| 374 | y = jj; |
---|
| 375 | z = 2; |
---|
| 376 | t = 1; |
---|
| 377 | end |
---|
| 378 | if cv3<val1 |
---|
| 379 | val1 = cv3; |
---|
| 380 | x = ii; |
---|
| 381 | y = jj; |
---|
| 382 | z = 3; |
---|
| 383 | t = 1; |
---|
| 384 | end |
---|
| 385 | if cv4<val1 |
---|
| 386 | val1 = cv4; |
---|
| 387 | x = ii; |
---|
| 388 | y = jj; |
---|
| 389 | z = 4; |
---|
| 390 | t = 1; |
---|
| 391 | end |
---|
| 392 | if cv5<val1 |
---|
| 393 | val1 = cv5; |
---|
| 394 | x = ii; |
---|
| 395 | y = jj; |
---|
| 396 | z = 1; |
---|
| 397 | t = 0; |
---|
| 398 | end |
---|
| 399 | if cv6<val1 |
---|
| 400 | val1 = cv6; |
---|
| 401 | x = ii; |
---|
| 402 | y = jj; |
---|
| 403 | z = 2; |
---|
| 404 | t = 0; |
---|
| 405 | end |
---|
| 406 | if cv7<val1 |
---|
| 407 | val1 = cv7; |
---|
| 408 | x = ii; |
---|
| 409 | y = jj; |
---|
| 410 | z = 3; |
---|
| 411 | t = 0; |
---|
| 412 | end |
---|
| 413 | if cv8<val1 |
---|
| 414 | val1 = cv8; |
---|
| 415 | x = ii; |
---|
| 416 | y = jj; |
---|
| 417 | z = 4; |
---|
| 418 | t = 0; |
---|
| 419 | end |
---|
| 420 | end |
---|
| 421 | end |
---|
| 422 | end |
---|
| 423 | end |
---|
| 424 | %-------------------------------------------------------------------------- |
---|
| 425 | if val1<val0 |
---|
| 426 | out.inverse = 1; |
---|
| 427 | if z==1 || z==2 |
---|
| 428 | out.fftxfirst = 0; |
---|
| 429 | else |
---|
| 430 | out.fftxfirst = 1; |
---|
| 431 | end |
---|
| 432 | if z==1 || z==3 |
---|
| 433 | out.ifftxfirst = 1; |
---|
| 434 | else |
---|
| 435 | out.ifftxfirst = 0; |
---|
| 436 | end |
---|
| 437 | else |
---|
| 438 | out.inverse = 0; |
---|
| 439 | if z==1 || z==2 |
---|
| 440 | out.fftxfirst = 0; |
---|
| 441 | else |
---|
| 442 | out.fftxfirst = 1; |
---|
| 443 | end |
---|
| 444 | if z==1 || z==3 |
---|
| 445 | out.ifftxfirst = 1; |
---|
| 446 | else |
---|
| 447 | out.ifftxfirst = 0; |
---|
| 448 | end |
---|
| 449 | end |
---|
| 450 | out.nfftx = x; |
---|
| 451 | out.nffty = y; |
---|
| 452 | if t==1 |
---|
| 453 | out.filterxfirst = 0; |
---|
| 454 | else |
---|
| 455 | out.filterxfirst = 1; |
---|
| 456 | end |
---|
| 457 | return; |
---|
| 458 | end |
---|
| 459 | %++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ |
---|
| 460 | %++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ |
---|
| 461 | %----------------------------------------------------- a image and b filter |
---|
| 462 | if isreal1 && ~isreal2 |
---|
| 463 | ax = size1(1); |
---|
| 464 | ay = size1(2); |
---|
| 465 | bx = size2(1); |
---|
| 466 | by = size2(2); |
---|
| 467 | |
---|
| 468 | val0 = infinitevalue; |
---|
| 469 | |
---|
| 470 | for ii=1:L |
---|
| 471 | for jj=1:L |
---|
| 472 | if FFTrv(ii)~=0 && FFTrv(jj)~=0 |
---|
| 473 | Lx = ii-bx+1; |
---|
| 474 | Ly = jj-by+1; |
---|
| 475 | if Lx>0 && Ly>0 |
---|
| 476 | nx = ceil(ax/Lx); |
---|
| 477 | ny = ceil(ay/Ly); |
---|
| 478 | |
---|
| 479 | cv1 = nx*ny*(ii*FFTrv(jj) + jj*FFTiv(ii) + jj*IFFTiv(ii) + ii*IFFTiv(jj)) + (ii*FFTiv(jj) + jj*FFTiv(ii)); |
---|
| 480 | cv2 = nx*ny*(ii*FFTrv(jj) + jj*FFTiv(ii) + ii*IFFTiv(jj) + jj*IFFTiv(ii)) + (ii*FFTiv(jj) + jj*FFTiv(ii)); |
---|
| 481 | cv3 = nx*ny*(jj*FFTrv(ii) + ii*FFTiv(jj) + jj*IFFTiv(ii) + ii*IFFTiv(jj)) + (ii*FFTiv(jj) + jj*FFTiv(ii)); |
---|
| 482 | cv4 = nx*ny*(jj*FFTrv(ii) + ii*FFTiv(jj) + ii*IFFTiv(jj) + jj*IFFTiv(ii)) + (ii*FFTiv(jj) + jj*FFTiv(ii)); |
---|
| 483 | |
---|
| 484 | cv5 = nx*ny*(ii*FFTrv(jj) + jj*FFTiv(ii) + jj*IFFTiv(ii) + ii*IFFTiv(jj)) + (jj*FFTiv(ii) + ii*FFTiv(jj)); |
---|
| 485 | cv6 = nx*ny*(ii*FFTrv(jj) + jj*FFTiv(ii) + ii*IFFTiv(jj) + jj*IFFTiv(ii)) + (jj*FFTiv(ii) + ii*FFTiv(jj)); |
---|
| 486 | cv7 = nx*ny*(jj*FFTrv(ii) + ii*FFTiv(jj) + jj*IFFTiv(ii) + ii*IFFTiv(jj)) + (jj*FFTiv(ii) + ii*FFTiv(jj)); |
---|
| 487 | cv8 = nx*ny*(jj*FFTrv(ii) + ii*FFTiv(jj) + ii*IFFTiv(jj) + jj*IFFTiv(ii)) + (jj*FFTiv(ii) + ii*FFTiv(jj)); |
---|
| 488 | |
---|
| 489 | if cv1<val0 |
---|
| 490 | val0 = cv1; |
---|
| 491 | x = ii; |
---|
| 492 | y = jj; |
---|
| 493 | z = 1; |
---|
| 494 | t = 1; |
---|
| 495 | end |
---|
| 496 | if cv2<val0 |
---|
| 497 | val0 = cv2; |
---|
| 498 | x = ii; |
---|
| 499 | y = jj; |
---|
| 500 | z = 2; |
---|
| 501 | t = 1; |
---|
| 502 | end |
---|
| 503 | if cv3<val0 |
---|
| 504 | val0 = cv3; |
---|
| 505 | x = ii; |
---|
| 506 | y = jj; |
---|
| 507 | z = 3; |
---|
| 508 | t = 1; |
---|
| 509 | end |
---|
| 510 | if cv4<val0 |
---|
| 511 | val0 = cv4; |
---|
| 512 | x = ii; |
---|
| 513 | y = jj; |
---|
| 514 | z = 4; |
---|
| 515 | t = 1; |
---|
| 516 | end |
---|
| 517 | if cv5<val0 |
---|
| 518 | val0 = cv5; |
---|
| 519 | x = ii; |
---|
| 520 | y = jj; |
---|
| 521 | z = 1; |
---|
| 522 | t = 0; |
---|
| 523 | end |
---|
| 524 | if cv6<val0 |
---|
| 525 | val0 = cv6; |
---|
| 526 | x = ii; |
---|
| 527 | y = jj; |
---|
| 528 | z = 2; |
---|
| 529 | t = 0; |
---|
| 530 | end |
---|
| 531 | if cv7<val0 |
---|
| 532 | val0 = cv7; |
---|
| 533 | x = ii; |
---|
| 534 | y = jj; |
---|
| 535 | z = 3; |
---|
| 536 | t = 0; |
---|
| 537 | end |
---|
| 538 | if cv8<val0 |
---|
| 539 | val0 = cv8; |
---|
| 540 | x = ii; |
---|
| 541 | y = jj; |
---|
| 542 | z = 4; |
---|
| 543 | t = 0; |
---|
| 544 | end |
---|
| 545 | end |
---|
| 546 | end |
---|
| 547 | end |
---|
| 548 | end |
---|
| 549 | %----------------------------------------------------- a filter and b image |
---|
| 550 | ax = size2(1); |
---|
| 551 | ay = size2(2); |
---|
| 552 | bx = size1(1); |
---|
| 553 | by = size1(2); |
---|
| 554 | |
---|
| 555 | |
---|
| 556 | val1 = infinitevalue; |
---|
| 557 | |
---|
| 558 | for ii=1:L |
---|
| 559 | for jj=1:L |
---|
| 560 | if FFTrv(ii)~=0 && FFTrv(jj)~=0 |
---|
| 561 | Lx = ii-bx+1; |
---|
| 562 | Ly = jj-by+1; |
---|
| 563 | if Lx>0 && Ly>0 |
---|
| 564 | nx = ceil(ax/Lx); |
---|
| 565 | ny = ceil(ay/Ly); |
---|
| 566 | |
---|
| 567 | cv1 = nx*ny*(ii*FFTiv(jj) + jj*FFTiv(ii) + jj*IFFTiv(ii) + ii*IFFTiv(jj)) + (ii*FFTrv(jj) + jj*FFTiv(ii)); |
---|
| 568 | cv2 = nx*ny*(ii*FFTiv(jj) + jj*FFTiv(ii) + ii*IFFTiv(jj) + jj*IFFTiv(ii)) + (ii*FFTrv(jj) + jj*FFTiv(ii)); |
---|
| 569 | cv3 = nx*ny*(jj*FFTiv(ii) + ii*FFTiv(jj) + jj*IFFTiv(ii) + ii*IFFTiv(jj)) + (ii*FFTrv(jj) + jj*FFTiv(ii)); |
---|
| 570 | cv4 = nx*ny*(jj*FFTiv(ii) + ii*FFTiv(jj) + ii*IFFTiv(jj) + jj*IFFTiv(ii)) + (ii*FFTrv(jj) + jj*FFTiv(ii)); |
---|
| 571 | |
---|
| 572 | cv5 = nx*ny*(ii*FFTiv(jj) + jj*FFTiv(ii) + jj*IFFTiv(ii) + ii*IFFTiv(jj)) + (jj*FFTrv(ii) + ii*FFTiv(jj)); |
---|
| 573 | cv6 = nx*ny*(ii*FFTiv(jj) + jj*FFTiv(ii) + ii*IFFTiv(jj) + jj*IFFTiv(ii)) + (jj*FFTrv(ii) + ii*FFTiv(jj)); |
---|
| 574 | cv7 = nx*ny*(jj*FFTiv(ii) + ii*FFTiv(jj) + jj*IFFTiv(ii) + ii*IFFTiv(jj)) + (jj*FFTrv(ii) + ii*FFTiv(jj)); |
---|
| 575 | cv8 = nx*ny*(jj*FFTiv(ii) + ii*FFTiv(jj) + ii*IFFTiv(jj) + jj*IFFTiv(ii)) + (jj*FFTrv(ii) + ii*FFTiv(jj)); |
---|
| 576 | |
---|
| 577 | if cv1<val1 |
---|
| 578 | val1 = cv1; |
---|
| 579 | x = ii; |
---|
| 580 | y = jj; |
---|
| 581 | z = 1; |
---|
| 582 | t = 1; |
---|
| 583 | end |
---|
| 584 | if cv2<val1 |
---|
| 585 | val1 = cv2; |
---|
| 586 | x = ii; |
---|
| 587 | y = jj; |
---|
| 588 | z = 2; |
---|
| 589 | t = 1; |
---|
| 590 | end |
---|
| 591 | if cv3<val1 |
---|
| 592 | val1 = cv3; |
---|
| 593 | x = ii; |
---|
| 594 | y = jj; |
---|
| 595 | z = 3; |
---|
| 596 | t = 1; |
---|
| 597 | end |
---|
| 598 | if cv4<val1 |
---|
| 599 | val1 = cv4; |
---|
| 600 | x = ii; |
---|
| 601 | y = jj; |
---|
| 602 | z = 4; |
---|
| 603 | t = 1; |
---|
| 604 | end |
---|
| 605 | if cv5<val1 |
---|
| 606 | val1 = cv5; |
---|
| 607 | x = ii; |
---|
| 608 | y = jj; |
---|
| 609 | z = 1; |
---|
| 610 | t = 0; |
---|
| 611 | end |
---|
| 612 | if cv6<val1 |
---|
| 613 | val1 = cv6; |
---|
| 614 | x = ii; |
---|
| 615 | y = jj; |
---|
| 616 | z = 2; |
---|
| 617 | t = 0; |
---|
| 618 | end |
---|
| 619 | if cv7<val1 |
---|
| 620 | val1 = cv7; |
---|
| 621 | x = ii; |
---|
| 622 | y = jj; |
---|
| 623 | z = 3; |
---|
| 624 | t = 0; |
---|
| 625 | end |
---|
| 626 | if cv8<val1 |
---|
| 627 | val1 = cv8; |
---|
| 628 | x = ii; |
---|
| 629 | y = jj; |
---|
| 630 | z = 4; |
---|
| 631 | t = 0; |
---|
| 632 | end |
---|
| 633 | end |
---|
| 634 | end |
---|
| 635 | end |
---|
| 636 | end |
---|
| 637 | %-------------------------------------------------------------------------- |
---|
| 638 | if val1<val0 |
---|
| 639 | out.inverse = 1; |
---|
| 640 | if z==1 || z==2 |
---|
| 641 | out.fftxfirst = 0; |
---|
| 642 | else |
---|
| 643 | out.fftxfirst = 1; |
---|
| 644 | end |
---|
| 645 | if z==1 || z==3 |
---|
| 646 | out.ifftxfirst = 1; |
---|
| 647 | else |
---|
| 648 | out.ifftxfirst = 0; |
---|
| 649 | end |
---|
| 650 | else |
---|
| 651 | out.inverse = 0; |
---|
| 652 | if z==1 || z==2 |
---|
| 653 | out.fftxfirst = 0; |
---|
| 654 | else |
---|
| 655 | out.fftxfirst = 1; |
---|
| 656 | end |
---|
| 657 | if z==1 || z==3 |
---|
| 658 | out.ifftxfirst = 1; |
---|
| 659 | else |
---|
| 660 | out.ifftxfirst = 0; |
---|
| 661 | end |
---|
| 662 | end |
---|
| 663 | out.nfftx = x; |
---|
| 664 | out.nffty = y; |
---|
| 665 | if t==1 |
---|
| 666 | out.filterxfirst = 0; |
---|
| 667 | else |
---|
| 668 | out.filterxfirst = 1; |
---|
| 669 | end |
---|
| 670 | return; |
---|
| 671 | end |
---|
| 672 | %++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ |
---|
| 673 | %++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ |
---|
| 674 | %----------------------------------------------------- a image and b filter |
---|
| 675 | if ~isreal1 && isreal2 |
---|
| 676 | ax = size1(1); |
---|
| 677 | ay = size1(2); |
---|
| 678 | bx = size2(1); |
---|
| 679 | by = size2(2); |
---|
| 680 | |
---|
| 681 | val0 = infinitevalue; |
---|
| 682 | |
---|
| 683 | for ii=1:L |
---|
| 684 | for jj=1:L |
---|
| 685 | if FFTrv(ii)~=0 && FFTrv(jj)~=0 |
---|
| 686 | Lx = ii-bx+1; |
---|
| 687 | Ly = jj-by+1; |
---|
| 688 | if Lx>0 && Ly>0 |
---|
| 689 | nx = ceil(ax/Lx); |
---|
| 690 | ny = ceil(ay/Ly); |
---|
| 691 | |
---|
| 692 | cv1 = nx*ny*(ii*FFTiv(jj) + jj*FFTiv(ii) + jj*IFFTiv(ii) + ii*IFFTiv(jj)) + (ii*FFTrv(jj) + jj*FFTiv(ii)); |
---|
| 693 | cv2 = nx*ny*(ii*FFTiv(jj) + jj*FFTiv(ii) + ii*IFFTiv(jj) + jj*IFFTiv(ii)) + (ii*FFTrv(jj) + jj*FFTiv(ii)); |
---|
| 694 | cv3 = nx*ny*(jj*FFTiv(ii) + ii*FFTiv(jj) + jj*IFFTiv(ii) + ii*IFFTiv(jj)) + (ii*FFTrv(jj) + jj*FFTiv(ii)); |
---|
| 695 | cv4 = nx*ny*(jj*FFTiv(ii) + ii*FFTiv(jj) + ii*IFFTiv(jj) + jj*IFFTiv(ii)) + (ii*FFTrv(jj) + jj*FFTiv(ii)); |
---|
| 696 | |
---|
| 697 | cv5 = nx*ny*(ii*FFTiv(jj) + jj*FFTiv(ii) + jj*IFFTiv(ii) + ii*IFFTiv(jj)) + (jj*FFTrv(ii) + ii*FFTiv(jj)); |
---|
| 698 | cv6 = nx*ny*(ii*FFTiv(jj) + jj*FFTiv(ii) + ii*IFFTiv(jj) + jj*IFFTiv(ii)) + (jj*FFTrv(ii) + ii*FFTiv(jj)); |
---|
| 699 | cv7 = nx*ny*(jj*FFTiv(ii) + ii*FFTiv(jj) + jj*IFFTiv(ii) + ii*IFFTiv(jj)) + (jj*FFTrv(ii) + ii*FFTiv(jj)); |
---|
| 700 | cv8 = nx*ny*(jj*FFTiv(ii) + ii*FFTiv(jj) + ii*IFFTiv(jj) + jj*IFFTiv(ii)) + (jj*FFTrv(ii) + ii*FFTiv(jj)); |
---|
| 701 | |
---|
| 702 | if cv1<val0 |
---|
| 703 | val0 = cv1; |
---|
| 704 | x = ii; |
---|
| 705 | y = jj; |
---|
| 706 | z = 1; |
---|
| 707 | t = 1; |
---|
| 708 | end |
---|
| 709 | if cv2<val0 |
---|
| 710 | val0 = cv2; |
---|
| 711 | x = ii; |
---|
| 712 | y = jj; |
---|
| 713 | z = 2; |
---|
| 714 | t = 1; |
---|
| 715 | end |
---|
| 716 | if cv3<val0 |
---|
| 717 | val0 = cv3; |
---|
| 718 | x = ii; |
---|
| 719 | y = jj; |
---|
| 720 | z = 3; |
---|
| 721 | t = 1; |
---|
| 722 | end |
---|
| 723 | if cv4<val0 |
---|
| 724 | val0 = cv4; |
---|
| 725 | x = ii; |
---|
| 726 | y = jj; |
---|
| 727 | z = 4; |
---|
| 728 | t = 1; |
---|
| 729 | end |
---|
| 730 | if cv5<val0 |
---|
| 731 | val0 = cv5; |
---|
| 732 | x = ii; |
---|
| 733 | y = jj; |
---|
| 734 | z = 1; |
---|
| 735 | t = 0; |
---|
| 736 | end |
---|
| 737 | if cv6<val0 |
---|
| 738 | val0 = cv6; |
---|
| 739 | x = ii; |
---|
| 740 | y = jj; |
---|
| 741 | z = 2; |
---|
| 742 | t = 0; |
---|
| 743 | end |
---|
| 744 | if cv7<val0 |
---|
| 745 | val0 = cv7; |
---|
| 746 | x = ii; |
---|
| 747 | y = jj; |
---|
| 748 | z = 3; |
---|
| 749 | t = 0; |
---|
| 750 | end |
---|
| 751 | if cv8<val0 |
---|
| 752 | val0 = cv8; |
---|
| 753 | x = ii; |
---|
| 754 | y = jj; |
---|
| 755 | z = 4; |
---|
| 756 | t = 0; |
---|
| 757 | end |
---|
| 758 | end |
---|
| 759 | end |
---|
| 760 | end |
---|
| 761 | end |
---|
| 762 | %----------------------------------------------------- a filter and b image |
---|
| 763 | ax = size2(1); |
---|
| 764 | ay = size2(2); |
---|
| 765 | bx = size1(1); |
---|
| 766 | by = size1(2); |
---|
| 767 | |
---|
| 768 | |
---|
| 769 | val1 = infinitevalue; |
---|
| 770 | |
---|
| 771 | for ii=1:L |
---|
| 772 | for jj=1:L |
---|
| 773 | if FFTrv(ii)~=0 && FFTrv(jj)~=0 |
---|
| 774 | Lx = ii-bx+1; |
---|
| 775 | Ly = jj-by+1; |
---|
| 776 | if Lx>0 && Ly>0 |
---|
| 777 | nx = ceil(ax/Lx); |
---|
| 778 | ny = ceil(ay/Ly); |
---|
| 779 | |
---|
| 780 | cv1 = nx*ny*(ii*FFTrv(jj) + jj*FFTiv(ii) + jj*IFFTiv(ii) + ii*IFFTiv(jj)) + (ii*FFTiv(jj) + jj*FFTiv(ii)); |
---|
| 781 | cv2 = nx*ny*(ii*FFTrv(jj) + jj*FFTiv(ii) + ii*IFFTiv(jj) + jj*IFFTiv(ii)) + (ii*FFTiv(jj) + jj*FFTiv(ii)); |
---|
| 782 | cv3 = nx*ny*(jj*FFTrv(ii) + ii*FFTiv(jj) + jj*IFFTiv(ii) + ii*IFFTiv(jj)) + (ii*FFTiv(jj) + jj*FFTiv(ii)); |
---|
| 783 | cv4 = nx*ny*(jj*FFTrv(ii) + ii*FFTiv(jj) + ii*IFFTiv(jj) + jj*IFFTiv(ii)) + (ii*FFTiv(jj) + jj*FFTiv(ii)); |
---|
| 784 | |
---|
| 785 | cv5 = nx*ny*(ii*FFTrv(jj) + jj*FFTiv(ii) + jj*IFFTiv(ii) + ii*IFFTiv(jj)) + (jj*FFTiv(ii) + ii*FFTiv(jj)); |
---|
| 786 | cv6 = nx*ny*(ii*FFTrv(jj) + jj*FFTiv(ii) + ii*IFFTiv(jj) + jj*IFFTiv(ii)) + (jj*FFTiv(ii) + ii*FFTiv(jj)); |
---|
| 787 | cv7 = nx*ny*(jj*FFTrv(ii) + ii*FFTiv(jj) + jj*IFFTiv(ii) + ii*IFFTiv(jj)) + (jj*FFTiv(ii) + ii*FFTiv(jj)); |
---|
| 788 | cv8 = nx*ny*(jj*FFTrv(ii) + ii*FFTiv(jj) + ii*IFFTiv(jj) + jj*IFFTiv(ii)) + (jj*FFTiv(ii) + ii*FFTiv(jj)); |
---|
| 789 | |
---|
| 790 | if cv1<val1 |
---|
| 791 | val1 = cv1; |
---|
| 792 | x = ii; |
---|
| 793 | y = jj; |
---|
| 794 | z = 1; |
---|
| 795 | t = 1; |
---|
| 796 | end |
---|
| 797 | if cv2<val1 |
---|
| 798 | val1 = cv2; |
---|
| 799 | x = ii; |
---|
| 800 | y = jj; |
---|
| 801 | z = 2; |
---|
| 802 | t = 1; |
---|
| 803 | end |
---|
| 804 | if cv3<val1 |
---|
| 805 | val1 = cv3; |
---|
| 806 | x = ii; |
---|
| 807 | y = jj; |
---|
| 808 | z = 3; |
---|
| 809 | t = 1; |
---|
| 810 | end |
---|
| 811 | if cv4<val1 |
---|
| 812 | val1 = cv4; |
---|
| 813 | x = ii; |
---|
| 814 | y = jj; |
---|
| 815 | z = 4; |
---|
| 816 | t = 1; |
---|
| 817 | end |
---|
| 818 | if cv5<val1 |
---|
| 819 | val1 = cv5; |
---|
| 820 | x = ii; |
---|
| 821 | y = jj; |
---|
| 822 | z = 1; |
---|
| 823 | t = 0; |
---|
| 824 | end |
---|
| 825 | if cv6<val1 |
---|
| 826 | val1 = cv6; |
---|
| 827 | x = ii; |
---|
| 828 | y = jj; |
---|
| 829 | z = 2; |
---|
| 830 | t = 0; |
---|
| 831 | end |
---|
| 832 | if cv7<val1 |
---|
| 833 | val1 = cv7; |
---|
| 834 | x = ii; |
---|
| 835 | y = jj; |
---|
| 836 | z = 3; |
---|
| 837 | t = 0; |
---|
| 838 | end |
---|
| 839 | if cv8<val1 |
---|
| 840 | val1 = cv8; |
---|
| 841 | x = ii; |
---|
| 842 | y = jj; |
---|
| 843 | z = 4; |
---|
| 844 | t = 0; |
---|
| 845 | end |
---|
| 846 | end |
---|
| 847 | end |
---|
| 848 | end |
---|
| 849 | end |
---|
| 850 | %-------------------------------------------------------------------------- |
---|
| 851 | if val1<val0 |
---|
| 852 | out.inverse = 1; |
---|
| 853 | if z==1 || z==2 |
---|
| 854 | out.fftxfirst = 0; |
---|
| 855 | else |
---|
| 856 | out.fftxfirst = 1; |
---|
| 857 | end |
---|
| 858 | if z==1 || z==3 |
---|
| 859 | out.ifftxfirst = 1; |
---|
| 860 | else |
---|
| 861 | out.ifftxfirst = 0; |
---|
| 862 | end |
---|
| 863 | else |
---|
| 864 | out.inverse = 0; |
---|
| 865 | if z==1 || z==2 |
---|
| 866 | out.fftxfirst = 0; |
---|
| 867 | else |
---|
| 868 | out.fftxfirst = 1; |
---|
| 869 | end |
---|
| 870 | if z==1 || z==3 |
---|
| 871 | out.ifftxfirst = 1; |
---|
| 872 | else |
---|
| 873 | out.ifftxfirst = 0; |
---|
| 874 | end |
---|
| 875 | end |
---|
| 876 | out.nfftx = x; |
---|
| 877 | out.nffty = y; |
---|
| 878 | if t==1 |
---|
| 879 | out.filterxfirst = 0; |
---|
| 880 | else |
---|
| 881 | out.filterxfirst = 1; |
---|
| 882 | end |
---|
| 883 | return; |
---|
| 884 | end |
---|
| 885 | %++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ |
---|
| 886 | %++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ |
---|