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<?php |
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/** |
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* Class QRrsItem |
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* @author Tinymeng <[email protected]> |
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* @date: 2019/9/26 18:26 |
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*/ |
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namespace tinymeng\code\Gateways\qrcode; |
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class QRrsItem { |
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public $mm; // Bits per symbol |
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public $nn; // Symbols per block (= (1<<mm)-1) |
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public $alpha_to = array(); // log lookup table |
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public $index_of = array(); // Antilog lookup table |
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public $genpoly = array(); // Generator polynomial |
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public $nroots; // Number of generator roots = number of parity symbols |
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public $fcr; // First consecutive root, index form |
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public $prim; // Primitive element, index form |
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public $iprim; // prim-th root of 1, index form |
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public $pad; // Padding bytes in shortened block |
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public $gfpoly; |
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//---------------------------------------------------------------------- |
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public function modnn($x) |
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{ |
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while ($x >= $this->nn) { |
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$x -= $this->nn; |
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$x = ($x >> $this->mm) + ($x & $this->nn); |
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} |
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return $x; |
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} |
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//---------------------------------------------------------------------- |
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public static function init_rs_char($symsize, $gfpoly, $fcr, $prim, $nroots, $pad) |
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{ |
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// Common code for intializing a Reed-Solomon control block (char or int symbols) |
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// Copyright 2004 Phil Karn, KA9Q |
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// May be used under the terms of the GNU Lesser General Public License (LGPL) |
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$rs = null; |
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// Check parameter ranges |
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if($symsize < 0 || $symsize > 8) return $rs; |
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if($fcr < 0 || $fcr >= (1<<$symsize)) return $rs; |
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if($prim <= 0 || $prim >= (1<<$symsize)) return $rs; |
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if($nroots < 0 || $nroots >= (1<<$symsize)) return $rs; // Can't have more roots than symbol values! |
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if($pad < 0 || $pad >= ((1<<$symsize) -1 - $nroots)) return $rs; // Too much padding |
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$rs = new QRrsItem(); |
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$rs->mm = $symsize; |
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$rs->nn = (1<<$symsize)-1; |
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$rs->pad = $pad; |
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$rs->alpha_to = array_fill(0, $rs->nn+1, 0); |
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$rs->index_of = array_fill(0, $rs->nn+1, 0); |
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// PHP style macro replacement ;) |
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$NN =& $rs->nn; |
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$A0 =& $NN; |
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// Generate Galois field lookup tables |
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$rs->index_of[0] = $A0; // log(zero) = -inf |
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$rs->alpha_to[$A0] = 0; // alpha**-inf = 0 |
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$sr = 1; |
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for($i=0; $i<$rs->nn; $i++) { |
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$rs->index_of[$sr] = $i; |
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$rs->alpha_to[$i] = $sr; |
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$sr <<= 1; |
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if($sr & (1<<$symsize)) { |
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$sr ^= $gfpoly; |
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} |
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$sr &= $rs->nn; |
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} |
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if($sr != 1){ |
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// field generator polynomial is not primitive! |
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$rs = NULL; |
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return $rs; |
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} |
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/* Form RS code generator polynomial from its roots */ |
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$rs->genpoly = array_fill(0, $nroots+1, 0); |
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$rs->fcr = $fcr; |
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$rs->prim = $prim; |
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$rs->nroots = $nroots; |
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$rs->gfpoly = $gfpoly; |
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/* Find prim-th root of 1, used in decoding */ |
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for($iprim=1;($iprim % $prim) != 0;$iprim += $rs->nn) |
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; // intentional empty-body loop! |
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$rs->iprim = (int)($iprim / $prim); |
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$rs->genpoly[0] = 1; |
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for ($i = 0,$root=$fcr*$prim; $i < $nroots; $i++, $root += $prim) { |
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$rs->genpoly[$i+1] = 1; |
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// Multiply rs->genpoly[] by @**(root + x) |
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for ($j = $i; $j > 0; $j--) { |
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if ($rs->genpoly[$j] != 0) { |
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$rs->genpoly[$j] = $rs->genpoly[$j-1] ^ $rs->alpha_to[$rs->modnn($rs->index_of[$rs->genpoly[$j]] + $root)]; |
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} else { |
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$rs->genpoly[$j] = $rs->genpoly[$j-1]; |
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} |
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} |
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// rs->genpoly[0] can never be zero |
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$rs->genpoly[0] = $rs->alpha_to[$rs->modnn($rs->index_of[$rs->genpoly[0]] + $root)]; |
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} |
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// convert rs->genpoly[] to index form for quicker encoding |
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for ($i = 0; $i <= $nroots; $i++) |
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$rs->genpoly[$i] = $rs->index_of[$rs->genpoly[$i]]; |
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return $rs; |
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} |
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//---------------------------------------------------------------------- |
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public function encode_rs_char($data, &$parity) |
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{ |
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$MM =& $this->mm; |
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$NN =& $this->nn; |
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$ALPHA_TO =& $this->alpha_to; |
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$INDEX_OF =& $this->index_of; |
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$GENPOLY =& $this->genpoly; |
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$NROOTS =& $this->nroots; |
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$FCR =& $this->fcr; |
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$PRIM =& $this->prim; |
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$IPRIM =& $this->iprim; |
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$PAD =& $this->pad; |
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$A0 =& $NN; |
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$parity = array_fill(0, $NROOTS, 0); |
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for($i=0; $i< ($NN-$NROOTS-$PAD); $i++) { |
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$feedback = $INDEX_OF[$data[$i] ^ $parity[0]]; |
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if($feedback != $A0) { |
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// feedback term is non-zero |
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// This line is unnecessary when GENPOLY[NROOTS] is unity, as it must |
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// always be for the polynomials constructed by init_rs() |
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$feedback = $this->modnn($NN - $GENPOLY[$NROOTS] + $feedback); |
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for($j=1;$j<$NROOTS;$j++) { |
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$parity[$j] ^= $ALPHA_TO[$this->modnn($feedback + $GENPOLY[$NROOTS-$j])]; |
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} |
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} |
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// Shift |
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array_shift($parity); |
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if($feedback != $A0) { |
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array_push($parity, $ALPHA_TO[$this->modnn($feedback + $GENPOLY[0])]); |
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} else { |
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array_push($parity, 0); |
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} |
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} |
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} |
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} |
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