website/includes/qrcodedecoder/Zxing/Common/PerspectiveTransform.php

<?php
/*
* Copyright 2007 ZXing authors
*
* Licensed under the Apache License, Version 2.0 (the "License");
* you may not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
*      http://www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS,
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*/

namespace Zxing\Common;

/**
 * <p>This class implements a perspective transform in two dimensions. Given four source and four
 * destination points, it will compute the transformation implied between them. The code is based
 * directly upon section 3.4.2 of George Wolberg's "Digital Image Warping"; see pages 54-56.</p>
 *
 * @author Sean Owen
 */
final class PerspectiveTransform
{
    private $a11;
    private $a12;
    private $a13;
    private $a21;
    private $a22;
    private $a23;
    private $a31;
    private $a32;
    private $a33;

    private function __construct(
        $a11, $a21, $a31,
        $a12, $a22, $a32,
        $a13, $a23, $a33
    ) {
        $this->a11 = $a11;
        $this->a12 = $a12;
        $this->a13 = $a13;
        $this->a21 = $a21;
        $this->a22 = $a22;
        $this->a23 = $a23;
        $this->a31 = $a31;
        $this->a32 = $a32;
        $this->a33 = $a33;
    }

    public static function quadrilateralToQuadrilateral(
        $x0, $y0,
        $x1, $y1,
        $x2, $y2,
        $x3, $y3,
        $x0p, $y0p,
        $x1p, $y1p,
        $x2p, $y2p,
        $x3p, $y3p
    ) {

        $qToS = self::quadrilateralToSquare($x0, $y0, $x1, $y1, $x2, $y2, $x3, $y3);
        $sToQ = self::squareToQuadrilateral($x0p, $y0p, $x1p, $y1p, $x2p, $y2p, $x3p, $y3p);

        return $sToQ->times($qToS);
    }

    public static function quadrilateralToSquare(
        $x0, $y0,
        $x1, $y1,
        $x2, $y2,
        $x3, $y3
    ) {
// Here, the adjoint serves as the inverse:
        return self::squareToQuadrilateral($x0, $y0, $x1, $y1, $x2, $y2, $x3, $y3)->buildAdjoint();
    }

    public function buildAdjoint()
    {
// Adjoint is the transpose of the cofactor matrix:
        return new PerspectiveTransform($this->a22 * $this->a33 - $this->a23 * $this->a32,
            $this->a23 * $this->a31 - $this->a21 * $this->a33,
            $this->a21 * $this->a32 - $this->a22 * $this->a31,
            $this->a13 * $this->a32 - $this->a12 * $this->a33,
            $this->a11 * $this->a33 - $this->a13 * $this->a31,
            $this->a12 * $this->a31 - $this->a11 * $this->a32,
            $this->a12 * $this->a23 - $this->a13 * $this->a22,
            $this->a13 * $this->a21 - $this->a11 * $this->a23,
            $this->a11 * $this->a22 - $this->a12 * $this->a21);
    }

    public static function squareToQuadrilateral(
        $x0, $y0,
        $x1, $y1,
        $x2, $y2,
        $x3, $y3
    ) {
        $dx3 = $x0 - $x1 + $x2 - $x3;
        $dy3 = $y0 - $y1 + $y2 - $y3;
        if ($dx3 == 0.0 && $dy3 == 0.0) {
// Affine
            return new PerspectiveTransform($x1 - $x0, $x2 - $x1, $x0,
                $y1 - $y0, $y2 - $y1, $y0,
                0.0, 0.0, 1.0);
        } else {
            $dx1         = $x1 - $x2;
            $dx2         = $x3 - $x2;
            $dy1         = $y1 - $y2;
            $dy2         = $y3 - $y2;
            $denominator = $dx1 * $dy2 - $dx2 * $dy1;
            $a13         = ($dx3 * $dy2 - $dx2 * $dy3) / $denominator;
            $a23         = ($dx1 * $dy3 - $dx3 * $dy1) / $denominator;

            return new PerspectiveTransform($x1 - $x0 + $a13 * $x1, $x3 - $x0 + $a23 * $x3, $x0,
                $y1 - $y0 + $a13 * $y1, $y3 - $y0 + $a23 * $y3, $y0,
                $a13, $a23, 1.0);
        }
    }

    public function times($other)
    {
        return new PerspectiveTransform($this->a11 * $other->a11 + $this->a21 * $other->a12 + $this->a31 * $other->a13,
            $this->a11 * $other->a21 + $this->a21 * $other->a22 + $this->a31 * $other->a23,
            $this->a11 * $other->a31 + $this->a21 * $other->a32 + $this->a31 * $other->a33,
            $this->a12 * $other->a11 + $this->a22 * $other->a12 + $this->a32 * $other->a13,
            $this->a12 * $other->a21 + $this->a22 * $other->a22 + $this->a32 * $other->a23,
            $this->a12 * $other->a31 + $this->a22 * $other->a32 + $this->a32 * $other->a33,
            $this->a13 * $other->a11 + $this->a23 * $other->a12 + $this->a33 * $other->a13,
            $this->a13 * $other->a21 + $this->a23 * $other->a22 + $this->a33 * $other->a23,
            $this->a13 * $other->a31 + $this->a23 * $other->a32 + $this->a33 * $other->a33);

    }

    public function transformPoints(&$points, &$yValues = 0)
    {
        if ($yValues) {
            $this->transformPoints_($points, $yValues);

            return;
        }
        $max = count($points);
        $a11 = $this->a11;
        $a12 = $this->a12;
        $a13 = $this->a13;
        $a21 = $this->a21;
        $a22 = $this->a22;
        $a23 = $this->a23;
        $a31 = $this->a31;
        $a32 = $this->a32;
        $a33 = $this->a33;
        for ($i = 0; $i < $max; $i += 2) {
            $x              = $points[$i];
            $y              = $points[$i + 1];
            $denominator    = $a13 * $x + $a23 * $y + $a33;
            $points[$i]     = ($a11 * $x + $a21 * $y + $a31) / $denominator;
            $points[$i + 1] = ($a12 * $x + $a22 * $y + $a32) / $denominator;
        }
    }

    public function transformPoints_(&$xValues, &$yValues)
    {
        $n = count($xValues);
        for ($i = 0; $i < $n; $i++) {
            $x           = $xValues[$i];
            $y           = $yValues[$i];
            $denominator = $this->a13 * $x + $this->a23 * $y + $this->a33;
            $xValues[$i] = ($this->a11 * $x + $this->a21 * $y + $this->a31) / $denominator;
            $yValues[$i] = ($this->a12 * $x + $this->a22 * $y + $this->a32) / $denominator;
        }
    }
}