chillerlan /
php-qrcode
| 1 | <?php |
||||||
| 2 | /** |
||||||
| 3 | * Class BitMatrix |
||||||
| 4 | * |
||||||
| 5 | * @created 17.01.2021 |
||||||
| 6 | * @author ZXing Authors |
||||||
| 7 | * @author Smiley <[email protected]> |
||||||
| 8 | * @copyright 2021 Smiley |
||||||
| 9 | * @license Apache-2.0 |
||||||
| 10 | */ |
||||||
| 11 | |||||||
| 12 | namespace chillerlan\QRCode\Decoder; |
||||||
| 13 | |||||||
| 14 | use chillerlan\QRCode\Common\{EccLevel, MaskPattern, Version}; |
||||||
| 15 | use chillerlan\QRCode\Data\{QRCodeDataException, QRMatrix}; |
||||||
| 16 | use function array_fill, array_reverse, count; |
||||||
| 17 | use const PHP_INT_MAX, PHP_INT_SIZE; |
||||||
| 18 | |||||||
| 19 | /** |
||||||
| 20 | * Extended QRMatrix to map read data from the Binarizer |
||||||
| 21 | */ |
||||||
| 22 | final class BitMatrix extends QRMatrix{ |
||||||
| 23 | |||||||
| 24 | /** |
||||||
| 25 | * See ISO 18004:2006, Annex C, Table C.1 |
||||||
| 26 | * |
||||||
| 27 | * [data bits, sequence after masking] |
||||||
| 28 | */ |
||||||
| 29 | private const DECODE_LOOKUP = [ |
||||||
| 30 | 0x5412, // 0101010000010010 |
||||||
| 31 | 0x5125, // 0101000100100101 |
||||||
| 32 | 0x5E7C, // 0101111001111100 |
||||||
| 33 | 0x5B4B, // 0101101101001011 |
||||||
| 34 | 0x45F9, // 0100010111111001 |
||||||
| 35 | 0x40CE, // 0100000011001110 |
||||||
| 36 | 0x4F97, // 0100111110010111 |
||||||
| 37 | 0x4AA0, // 0100101010100000 |
||||||
| 38 | 0x77C4, // 0111011111000100 |
||||||
| 39 | 0x72F3, // 0111001011110011 |
||||||
| 40 | 0x7DAA, // 0111110110101010 |
||||||
| 41 | 0x789D, // 0111100010011101 |
||||||
| 42 | 0x662F, // 0110011000101111 |
||||||
| 43 | 0x6318, // 0110001100011000 |
||||||
| 44 | 0x6C41, // 0110110001000001 |
||||||
| 45 | 0x6976, // 0110100101110110 |
||||||
| 46 | 0x1689, // 0001011010001001 |
||||||
| 47 | 0x13BE, // 0001001110111110 |
||||||
| 48 | 0x1CE7, // 0001110011100111 |
||||||
| 49 | 0x19D0, // 0001100111010000 |
||||||
| 50 | 0x0762, // 0000011101100010 |
||||||
| 51 | 0x0255, // 0000001001010101 |
||||||
| 52 | 0x0D0C, // 0000110100001100 |
||||||
| 53 | 0x083B, // 0000100000111011 |
||||||
| 54 | 0x355F, // 0011010101011111 |
||||||
| 55 | 0x3068, // 0011000001101000 |
||||||
| 56 | 0x3F31, // 0011111100110001 |
||||||
| 57 | 0x3A06, // 0011101000000110 |
||||||
| 58 | 0x24B4, // 0010010010110100 |
||||||
| 59 | 0x2183, // 0010000110000011 |
||||||
| 60 | 0x2EDA, // 0010111011011010 |
||||||
| 61 | 0x2BED, // 0010101111101101 |
||||||
| 62 | ]; |
||||||
| 63 | |||||||
| 64 | private const FORMAT_INFO_MASK_QR = 0x5412; // 0101010000010010 |
||||||
| 65 | |||||||
| 66 | /** |
||||||
| 67 | * This flag has effect only on the copyVersionBit() method. |
||||||
| 68 | * Before proceeding with readCodewords() the resetInfo() method should be called. |
||||||
| 69 | */ |
||||||
| 70 | private bool $mirror = false; |
||||||
| 71 | |||||||
| 72 | /** |
||||||
| 73 | * @noinspection PhpMissingParentConstructorInspection |
||||||
| 74 | */ |
||||||
| 75 | public function __construct(int $dimension){ |
||||||
| 76 | $this->moduleCount = $dimension; |
||||||
| 77 | $this->matrix = array_fill(0, $this->moduleCount, array_fill(0, $this->moduleCount, $this::M_NULL)); |
||||||
| 78 | } |
||||||
| 79 | |||||||
| 80 | /** |
||||||
| 81 | * Resets the current version info in order to attempt another reading |
||||||
| 82 | */ |
||||||
| 83 | public function resetVersionInfo():self{ |
||||||
| 84 | $this->version = null; |
||||||
| 85 | $this->eccLevel = null; |
||||||
| 86 | $this->maskPattern = null; |
||||||
| 87 | |||||||
| 88 | return $this; |
||||||
| 89 | } |
||||||
| 90 | |||||||
| 91 | /** |
||||||
| 92 | * Mirror the bit matrix diagonally in order to attempt a second reading. |
||||||
| 93 | */ |
||||||
| 94 | public function mirrorDiagonal():self{ |
||||||
| 95 | $this->mirror = !$this->mirror; |
||||||
| 96 | |||||||
| 97 | // mirror vertically |
||||||
| 98 | $this->matrix = array_reverse($this->matrix); |
||||||
| 99 | // rotate by 90 degrees clockwise |
||||||
| 100 | /** @phan-suppress-next-line PhanTypeMismatchReturnSuperType */ |
||||||
| 101 | return $this->rotate90(); |
||||||
| 102 | } |
||||||
| 103 | |||||||
| 104 | /** |
||||||
| 105 | * Reads the bits in the BitMatrix representing the finder pattern in the |
||||||
| 106 | * correct order in order to reconstruct the codewords bytes contained within the |
||||||
| 107 | * QR Code. Throws if the exact number of bytes expected is not read. |
||||||
| 108 | * |
||||||
| 109 | * @throws \chillerlan\QRCode\Decoder\QRCodeDecoderException |
||||||
| 110 | */ |
||||||
| 111 | public function readCodewords():array{ |
||||||
| 112 | |||||||
| 113 | $this |
||||||
| 114 | ->readFormatInformation() |
||||||
| 115 | ->readVersion() |
||||||
| 116 | ->mask($this->maskPattern) // reverse the mask pattern |
||||||
|
0 ignored issues
–
show
Bug
introduced
by
Loading history...
|
|||||||
| 117 | ; |
||||||
| 118 | |||||||
| 119 | // invoke a fresh matrix with only the function & format patterns to compare against |
||||||
| 120 | $matrix = (new QRMatrix($this->version, $this->eccLevel)) |
||||||
|
0 ignored issues
–
show
It seems like
$this->version can also be of type null; however, parameter $version of chillerlan\QRCode\Data\QRMatrix::__construct() does only seem to accept chillerlan\QRCode\Common\Version, maybe add an additional type check?
(
Ignorable by Annotation
)
If this is a false-positive, you can also ignore this issue in your code via the
Loading history...
It seems like
$this->eccLevel can also be of type null; however, parameter $eccLevel of chillerlan\QRCode\Data\QRMatrix::__construct() does only seem to accept chillerlan\QRCode\Common\EccLevel, maybe add an additional type check?
(
Ignorable by Annotation
)
If this is a false-positive, you can also ignore this issue in your code via the
Loading history...
|
|||||||
| 121 | ->initFunctionalPatterns() |
||||||
| 122 | ->setFormatInfo($this->maskPattern) |
||||||
| 123 | ; |
||||||
| 124 | |||||||
| 125 | $result = []; |
||||||
| 126 | $byte = 0; |
||||||
| 127 | $bitsRead = 0; |
||||||
| 128 | $direction = true; |
||||||
| 129 | |||||||
| 130 | // Read columns in pairs, from right to left |
||||||
| 131 | for($i = ($this->moduleCount - 1); $i > 0; $i -= 2){ |
||||||
| 132 | |||||||
| 133 | // Skip whole column with vertical alignment pattern; |
||||||
| 134 | // saves time and makes the other code proceed more cleanly |
||||||
| 135 | if($i === 6){ |
||||||
| 136 | $i--; |
||||||
| 137 | } |
||||||
| 138 | // Read alternatingly from bottom to top then top to bottom |
||||||
| 139 | for($count = 0; $count < $this->moduleCount; $count++){ |
||||||
| 140 | $y = ($direction) ? ($this->moduleCount - 1 - $count) : $count; |
||||||
| 141 | |||||||
| 142 | for($col = 0; $col < 2; $col++){ |
||||||
| 143 | $x = ($i - $col); |
||||||
| 144 | |||||||
| 145 | // Ignore bits covered by the function pattern |
||||||
| 146 | if($matrix->get($x, $y) !== $this::M_NULL){ |
||||||
| 147 | continue; |
||||||
| 148 | } |
||||||
| 149 | |||||||
| 150 | $bitsRead++; |
||||||
| 151 | $byte <<= 1; |
||||||
| 152 | |||||||
| 153 | if($this->check($x, $y)){ |
||||||
| 154 | $byte |= 1; |
||||||
| 155 | } |
||||||
| 156 | // If we've made a whole byte, save it off |
||||||
| 157 | if($bitsRead === 8){ |
||||||
| 158 | $result[] = $byte; |
||||||
| 159 | $bitsRead = 0; |
||||||
| 160 | $byte = 0; |
||||||
| 161 | } |
||||||
| 162 | } |
||||||
| 163 | } |
||||||
| 164 | |||||||
| 165 | $direction = !$direction; // switch directions |
||||||
|
0 ignored issues
–
show
|
|||||||
| 166 | } |
||||||
| 167 | |||||||
| 168 | if(count($result) !== $this->version->getTotalCodewords()){ |
||||||
|
0 ignored issues
–
show
The method
getTotalCodewords() does not exist on null.
(
Ignorable by Annotation
)
If this is a false-positive, you can also ignore this issue in your code via the
This check looks for calls to methods that do not seem to exist on a given type. It looks for the method on the type itself as well as in inherited classes or implemented interfaces. This is most likely a typographical error or the method has been renamed. Loading history...
|
|||||||
| 169 | throw new QRCodeDecoderException('result count differs from total codewords for version'); |
||||||
| 170 | } |
||||||
| 171 | |||||||
| 172 | // bytes encoded within the QR Code |
||||||
| 173 | return $result; |
||||||
| 174 | } |
||||||
| 175 | |||||||
| 176 | /** |
||||||
| 177 | * Reads format information from one of its two locations within the QR Code. |
||||||
| 178 | * Throws if both format information locations cannot be parsed as the valid encoding of format information. |
||||||
| 179 | * |
||||||
| 180 | * @throws \chillerlan\QRCode\Decoder\QRCodeDecoderException |
||||||
| 181 | */ |
||||||
| 182 | private function readFormatInformation():self{ |
||||||
| 183 | |||||||
| 184 | if($this->eccLevel !== null && $this->maskPattern !== null){ |
||||||
| 185 | return $this; |
||||||
| 186 | } |
||||||
| 187 | |||||||
| 188 | // Read top-left format info bits |
||||||
| 189 | $formatInfoBits1 = 0; |
||||||
| 190 | |||||||
| 191 | for($i = 0; $i < 6; $i++){ |
||||||
| 192 | $formatInfoBits1 = $this->copyVersionBit($i, 8, $formatInfoBits1); |
||||||
| 193 | } |
||||||
| 194 | |||||||
| 195 | // ... and skip a bit in the timing pattern ... |
||||||
| 196 | $formatInfoBits1 = $this->copyVersionBit(7, 8, $formatInfoBits1); |
||||||
| 197 | $formatInfoBits1 = $this->copyVersionBit(8, 8, $formatInfoBits1); |
||||||
| 198 | $formatInfoBits1 = $this->copyVersionBit(8, 7, $formatInfoBits1); |
||||||
| 199 | // ... and skip a bit in the timing pattern ... |
||||||
| 200 | for($j = 5; $j >= 0; $j--){ |
||||||
| 201 | $formatInfoBits1 = $this->copyVersionBit(8, $j, $formatInfoBits1); |
||||||
| 202 | } |
||||||
| 203 | |||||||
| 204 | // Read the top-right/bottom-left pattern too |
||||||
| 205 | $formatInfoBits2 = 0; |
||||||
| 206 | $jMin = ($this->moduleCount - 7); |
||||||
| 207 | |||||||
| 208 | for($j = ($this->moduleCount - 1); $j >= $jMin; $j--){ |
||||||
| 209 | $formatInfoBits2 = $this->copyVersionBit(8, $j, $formatInfoBits2); |
||||||
| 210 | } |
||||||
| 211 | |||||||
| 212 | for($i = ($this->moduleCount - 8); $i < $this->moduleCount; $i++){ |
||||||
| 213 | $formatInfoBits2 = $this->copyVersionBit($i, 8, $formatInfoBits2); |
||||||
| 214 | } |
||||||
| 215 | |||||||
| 216 | $formatInfo = $this->doDecodeFormatInformation($formatInfoBits1, $formatInfoBits2); |
||||||
| 217 | |||||||
| 218 | if($formatInfo === null){ |
||||||
| 219 | |||||||
| 220 | // Should return null, but, some QR codes apparently do not mask this info. |
||||||
| 221 | // Try again by actually masking the pattern first. |
||||||
| 222 | $formatInfo = $this->doDecodeFormatInformation( |
||||||
| 223 | ($formatInfoBits1 ^ $this::FORMAT_INFO_MASK_QR), |
||||||
| 224 | ($formatInfoBits2 ^ $this::FORMAT_INFO_MASK_QR) |
||||||
| 225 | ); |
||||||
| 226 | |||||||
| 227 | // still nothing??? |
||||||
| 228 | if($formatInfo === null){ |
||||||
| 229 | throw new QRCodeDecoderException('failed to read format info'); // @codeCoverageIgnore |
||||||
| 230 | } |
||||||
| 231 | |||||||
| 232 | } |
||||||
| 233 | |||||||
| 234 | $this->eccLevel = new EccLevel(($formatInfo >> 3) & 0x03); // Bits 3,4 |
||||||
| 235 | $this->maskPattern = new MaskPattern($formatInfo & 0x07); // Bottom 3 bits |
||||||
| 236 | |||||||
| 237 | return $this; |
||||||
| 238 | } |
||||||
| 239 | |||||||
| 240 | /** |
||||||
| 241 | * |
||||||
| 242 | */ |
||||||
| 243 | private function copyVersionBit(int $i, int $j, int $versionBits):int{ |
||||||
| 244 | |||||||
| 245 | $bit = $this->mirror |
||||||
| 246 | ? $this->check($j, $i) |
||||||
| 247 | : $this->check($i, $j); |
||||||
| 248 | |||||||
| 249 | return ($bit) ? (($versionBits << 1) | 0x1) : ($versionBits << 1); |
||||||
| 250 | } |
||||||
| 251 | |||||||
| 252 | /** |
||||||
| 253 | * Returns information about the format it specifies, or null if it doesn't seem to match any known pattern |
||||||
| 254 | */ |
||||||
| 255 | private function doDecodeFormatInformation(int $maskedFormatInfo1, int $maskedFormatInfo2):?int{ |
||||||
| 256 | $bestDifference = PHP_INT_MAX; |
||||||
| 257 | $bestFormatInfo = 0; |
||||||
| 258 | |||||||
| 259 | // Find the int in FORMAT_INFO_DECODE_LOOKUP with the fewest bits differing |
||||||
| 260 | foreach($this::DECODE_LOOKUP as $maskedBits => $dataBits){ |
||||||
| 261 | |||||||
| 262 | if($maskedFormatInfo1 === $dataBits || $maskedFormatInfo2 === $dataBits){ |
||||||
| 263 | // Found an exact match |
||||||
| 264 | return $maskedBits; |
||||||
| 265 | } |
||||||
| 266 | |||||||
| 267 | $bitsDifference = $this->numBitsDiffering($maskedFormatInfo1, $dataBits); |
||||||
| 268 | |||||||
| 269 | if($bitsDifference < $bestDifference){ |
||||||
| 270 | $bestFormatInfo = $maskedBits; |
||||||
| 271 | $bestDifference = $bitsDifference; |
||||||
| 272 | } |
||||||
| 273 | |||||||
| 274 | if($maskedFormatInfo1 !== $maskedFormatInfo2){ |
||||||
| 275 | // also try the other option |
||||||
| 276 | $bitsDifference = $this->numBitsDiffering($maskedFormatInfo2, $dataBits); |
||||||
| 277 | |||||||
| 278 | if($bitsDifference < $bestDifference){ |
||||||
| 279 | $bestFormatInfo = $maskedBits; |
||||||
| 280 | $bestDifference = $bitsDifference; |
||||||
| 281 | } |
||||||
| 282 | } |
||||||
| 283 | } |
||||||
| 284 | // Hamming distance of the 32 masked codes is 7, by construction, so <= 3 bits differing means we found a match |
||||||
| 285 | if($bestDifference <= 3){ |
||||||
| 286 | return $bestFormatInfo; |
||||||
| 287 | } |
||||||
| 288 | |||||||
| 289 | return null; |
||||||
| 290 | } |
||||||
| 291 | |||||||
| 292 | /** |
||||||
| 293 | * Reads version information from one of its two locations within the QR Code. |
||||||
| 294 | * Throws if both version information locations cannot be parsed as the valid encoding of version information. |
||||||
| 295 | * |
||||||
| 296 | * @throws \chillerlan\QRCode\Decoder\QRCodeDecoderException |
||||||
| 297 | * @noinspection DuplicatedCode |
||||||
| 298 | */ |
||||||
| 299 | private function readVersion():self{ |
||||||
| 300 | |||||||
| 301 | if($this->version !== null){ |
||||||
| 302 | return $this; |
||||||
| 303 | } |
||||||
| 304 | |||||||
| 305 | $provisionalVersion = (($this->moduleCount - 17) / 4); |
||||||
| 306 | |||||||
| 307 | // no version info if v < 7 |
||||||
| 308 | if($provisionalVersion < 7){ |
||||||
| 309 | $this->version = new Version($provisionalVersion); |
||||||
| 310 | |||||||
| 311 | return $this; |
||||||
| 312 | } |
||||||
| 313 | |||||||
| 314 | // Read top-right version info: 3 wide by 6 tall |
||||||
| 315 | $versionBits = 0; |
||||||
| 316 | $ijMin = ($this->moduleCount - 11); |
||||||
| 317 | |||||||
| 318 | for($y = 5; $y >= 0; $y--){ |
||||||
| 319 | for($x = ($this->moduleCount - 9); $x >= $ijMin; $x--){ |
||||||
| 320 | $versionBits = $this->copyVersionBit($x, $y, $versionBits); |
||||||
| 321 | } |
||||||
| 322 | } |
||||||
| 323 | |||||||
| 324 | $this->version = $this->decodeVersionInformation($versionBits); |
||||||
| 325 | |||||||
| 326 | if($this->version !== null && $this->version->getDimension() === $this->moduleCount){ |
||||||
| 327 | return $this; |
||||||
| 328 | } |
||||||
| 329 | |||||||
| 330 | // Hmm, failed. Try bottom left: 6 wide by 3 tall |
||||||
| 331 | $versionBits = 0; |
||||||
| 332 | |||||||
| 333 | for($x = 5; $x >= 0; $x--){ |
||||||
| 334 | for($y = ($this->moduleCount - 9); $y >= $ijMin; $y--){ |
||||||
| 335 | $versionBits = $this->copyVersionBit($x, $y, $versionBits); |
||||||
| 336 | } |
||||||
| 337 | } |
||||||
| 338 | |||||||
| 339 | $this->version = $this->decodeVersionInformation($versionBits); |
||||||
| 340 | |||||||
| 341 | if($this->version !== null && $this->version->getDimension() === $this->moduleCount){ |
||||||
| 342 | return $this; |
||||||
| 343 | } |
||||||
| 344 | |||||||
| 345 | throw new QRCodeDecoderException('failed to read version'); |
||||||
| 346 | } |
||||||
| 347 | |||||||
| 348 | /** |
||||||
| 349 | * Decodes the version information from the given bit sequence, returns null if no valid match is found. |
||||||
| 350 | */ |
||||||
| 351 | private function decodeVersionInformation(int $versionBits):?Version{ |
||||||
| 352 | $bestDifference = PHP_INT_MAX; |
||||||
| 353 | $bestVersion = 0; |
||||||
| 354 | |||||||
| 355 | for($i = 7; $i <= 40; $i++){ |
||||||
| 356 | $targetVersion = new Version($i); |
||||||
| 357 | $targetVersionPattern = $targetVersion->getVersionPattern(); |
||||||
| 358 | |||||||
| 359 | // Do the version info bits match exactly? done. |
||||||
| 360 | if($targetVersionPattern === $versionBits){ |
||||||
| 361 | return $targetVersion; |
||||||
| 362 | } |
||||||
| 363 | |||||||
| 364 | // Otherwise see if this is the closest to a real version info bit string |
||||||
| 365 | // we have seen so far |
||||||
| 366 | /** @phan-suppress-next-line PhanTypeMismatchArgumentNullable ($targetVersionPattern is never null here) */ |
||||||
| 367 | $bitsDifference = $this->numBitsDiffering($versionBits, $targetVersionPattern); |
||||||
|
0 ignored issues
–
show
It seems like
$targetVersionPattern can also be of type null; however, parameter $b of chillerlan\QRCode\Decode...rix::numBitsDiffering() does only seem to accept integer, maybe add an additional type check?
(
Ignorable by Annotation
)
If this is a false-positive, you can also ignore this issue in your code via the
Loading history...
|
|||||||
| 368 | |||||||
| 369 | if($bitsDifference < $bestDifference){ |
||||||
| 370 | $bestVersion = $i; |
||||||
| 371 | $bestDifference = $bitsDifference; |
||||||
| 372 | } |
||||||
| 373 | } |
||||||
| 374 | // We can tolerate up to 3 bits of error since no two version info codewords will |
||||||
| 375 | // differ in less than 8 bits. |
||||||
| 376 | if($bestDifference <= 3){ |
||||||
| 377 | return new Version($bestVersion); |
||||||
| 378 | } |
||||||
| 379 | |||||||
| 380 | // If we didn't find a close enough match, fail |
||||||
| 381 | return null; |
||||||
| 382 | } |
||||||
| 383 | |||||||
| 384 | /** |
||||||
| 385 | * |
||||||
| 386 | */ |
||||||
| 387 | private function uRShift(int $a, int $b):int{ |
||||||
| 388 | |||||||
| 389 | if($b === 0){ |
||||||
| 390 | return $a; |
||||||
| 391 | } |
||||||
| 392 | |||||||
| 393 | return (($a >> $b) & ~((1 << (8 * PHP_INT_SIZE - 1)) >> ($b - 1))); |
||||||
| 394 | } |
||||||
| 395 | |||||||
| 396 | /** |
||||||
| 397 | * |
||||||
| 398 | */ |
||||||
| 399 | private function numBitsDiffering(int $a, int $b):int{ |
||||||
| 400 | // a now has a 1 bit exactly where its bit differs with b's |
||||||
| 401 | $a ^= $b; |
||||||
| 402 | // Offset $i holds the number of 1-bits in the binary representation of $i |
||||||
| 403 | $BITS_SET_IN_HALF_BYTE = [0, 1, 1, 2, 1, 2, 2, 3, 1, 2, 2, 3, 2, 3, 3, 4]; |
||||||
| 404 | // Count bits set quickly with a series of lookups: |
||||||
| 405 | $count = 0; |
||||||
| 406 | |||||||
| 407 | for($i = 0; $i < 32; $i += 4){ |
||||||
| 408 | $count += $BITS_SET_IN_HALF_BYTE[($this->uRShift($a, $i) & 0x0F)]; |
||||||
| 409 | } |
||||||
| 410 | |||||||
| 411 | return $count; |
||||||
| 412 | } |
||||||
| 413 | |||||||
| 414 | /** |
||||||
| 415 | * @codeCoverageIgnore |
||||||
| 416 | * @throws \chillerlan\QRCode\Data\QRCodeDataException |
||||||
| 417 | */ |
||||||
| 418 | public function setQuietZone(int $quietZoneSize = null):self{ |
||||||
| 419 | throw new QRCodeDataException('not supported'); |
||||||
| 420 | } |
||||||
| 421 | |||||||
| 422 | /** |
||||||
| 423 | * @codeCoverageIgnore |
||||||
| 424 | * @throws \chillerlan\QRCode\Data\QRCodeDataException |
||||||
| 425 | */ |
||||||
| 426 | public function setLogoSpace(int $width, int $height = null, int $startX = null, int $startY = null):self{ |
||||||
| 427 | throw new QRCodeDataException('not supported'); |
||||||
| 428 | } |
||||||
| 429 | |||||||
| 430 | } |
||||||
| 431 |