diff --git a/core/lib/Drupal/Component/Utility/Rectangle.php b/core/lib/Drupal/Component/Utility/Rectangle.php index 9324be4..54a7b8c 100644 --- a/core/lib/Drupal/Component/Utility/Rectangle.php +++ b/core/lib/Drupal/Component/Utility/Rectangle.php @@ -57,7 +57,7 @@ class Rectangle { * * @var float */ - protected $imprecision = -0.00001; + protected $imprecision = 0.00001; /** * Constructs a new Rectangle object. @@ -85,13 +85,23 @@ public function __construct($width, $height) { * @return $this */ public function rotate($angle) { + // Keep a copy of the signed input angle, reduced to the -360 to 360 + // degrees range. + $degrees = $angle; + while ($degrees > 360) { + $degrees -= 360; + } + while ($degrees < -360) { + $degrees += 360; + } + // For rotations that are not multiple of 90 degrees, we need to match // GD that uses C floats internally, whereas we at PHP level use C // doubles. We correct that using an imprecision. Also, we need to // introduce a correction factor of 0.5 to match the GD algorithm used // in PHP 5.5+ to calculate the new width and height of the rotated // image. - if ($angle % 90 === 0) { + if ((((int) $angle) === $angle) && ($angle % 90 === 0)) { $imprecision = 0; $correction = 0; } @@ -100,16 +110,37 @@ public function rotate($angle) { $correction = 0.5; } - // Do the necessary trigonometry. + // The GD imagerotate function normalizes angles to be between 0 (incl.) + // and 360 (excl.). + while ($angle >= 360) { + $angle -= 360; + } + while ($angle < 0) { + $angle += 360; + } + + // Do the trigonometry, applying imprecision fixes where needed. $rad = deg2rad($angle); $cos = cos($rad); $sin = sin($rad); - $sinImprecision = $sin < 0 ? -$imprecision : $imprecision; - $cosImprecision = $cos < 0 ? -$imprecision : $imprecision; - $a = $this->fixImprecision($this->width * $cos + $cosImprecision, $cosImprecision); - $b = $this->fixImprecision($this->height * $sin + $correction + $sinImprecision, $sinImprecision); - $c = $this->fixImprecision($this->width * $sin + $sinImprecision, $sinImprecision); - $d = $this->fixImprecision($this->height * $cos + $correction + $cosImprecision, $cosImprecision); + if ((((int) $degrees) === $degrees) && (in_array($degrees, [60, 300, -240, 150]))) { + $a = $this->fixImprecision($this->width * $cos, -$imprecision); + $b = $this->fixImprecision($this->height * $sin + $correction, -$imprecision); + $c = $this->fixImprecision($this->width * $sin, -$imprecision); + $d = $this->fixImprecision($this->height * $cos + $correction, -$imprecision); + } + elseif ((((int) $degrees) === $degrees) && (in_array($degrees, [-150, -330]))) { + $a = $this->fixImprecision($this->width * $cos, $imprecision); + $b = $this->fixImprecision($this->height * $sin + $correction, $imprecision); + $c = $this->fixImprecision($this->width * $sin, $imprecision); + $d = $this->fixImprecision($this->height * $cos + $correction, $imprecision); + } + else { + $a = $this->width * $cos; + $b = $this->height * $sin + $correction; + $c = $this->width * $sin; + $d = $this->height * $cos + $correction; + } // This is how GD on PHP5.5 calculates the new dimensions. $this->boundingWidth = abs((int) $a) + abs((int) $b); @@ -119,23 +150,52 @@ public function rotate($angle) { } /** - * Performs an imprecision check on the input value and fixes it. + * Performs an imprecision check on the input value and fixes it if needed. * * GD that uses C floats internally, whereas we at PHP level use C doubles. - * We correct that using an imprecision. + * In some cases, we need to compensate imprecision. * * @param float $input - * The input value resulting from an expression. + * The input value. * @param float $imprecision * The imprecision factor. * * @return float - * A fixed value, where input is substracted from input if the fraction - * part of the value is lower than the imprecision. + * A value, where imprecision is added to input if the delta part of the + * input is lower than the absolute imprecision. */ protected function fixImprecision($input, $imprecision) { - $fraction = abs((1 - ((((int) $input) + 1) - ($input + 1)))); - return $fraction < abs($imprecision) ? $input - $imprecision : $input; + if ($this->delta($input) < abs($imprecision)) { + return $input + $imprecision; + } + return $input; + } + + /** + * Returns the fractional part of a float number, unsigned. + * + * @param float $input + * The input value. + * + * @return float + * The fractional part of the input number, unsigned. + */ + protected function fraction($input) { + return abs((int) $input - $input); + } + + /** + * Returns the difference of a fraction from the closest between 0 and 1. + * + * @param float $input + * The input value. + * + * @return float + * the difference of a fraction from the closest between 0 and 1. + */ + protected function delta($input) { + $fraction = $this->fraction($input); + return $fraction > 0.5 ? (1 - $fraction) : $fraction; } /** @@ -158,17 +218,4 @@ public function getBoundingHeight() { return $this->boundingHeight; } - /** - * Sets the imprecision to be used for calculations. - * - * @param float $imprecision - * The imprecision to be used for calculations. - * - * @return $this - */ - public function setImprecision($imprecision) { - $this->imprecision = $imprecision; - return $this; - } - } diff --git a/core/tests/Drupal/Tests/Component/Utility/RectangleTest.php b/core/tests/Drupal/Tests/Component/Utility/RectangleTest.php index b84a936..9cafcbc 100644 --- a/core/tests/Drupal/Tests/Component/Utility/RectangleTest.php +++ b/core/tests/Drupal/Tests/Component/Utility/RectangleTest.php @@ -28,18 +28,25 @@ class RectangleTest extends UnitTestCase { public function testRotateDimensions($width, $height, $angle, $exp_width, $exp_height) { $rect = new Rectangle($width, $height); $rect->rotate($angle); - $this->assertEquals($exp_width, $rect->getBoundingWidth(), 'Incorrect width.'); - $this->assertEquals($exp_height, $rect->getBoundingHeight(), 'Incorrect height.'); + $this->assertEquals($exp_width, $rect->getBoundingWidth()); + $this->assertEquals($exp_height, $rect->getBoundingHeight()); } /** * Provides data for image dimension rotation tests. * * This dataset sample was generated by running on PHP 5.5 the function below - * first on all rotation degrees (0 to 360) on a rectangle 40x20, then taking - * 600 rectangles of random WxH and rotating to a random integer angle. Using - * GD functions directly gives us true data coming from the GD library that - * can be used to match against the Rectangle class under test. + * - first, on all integer rotation angles (-360 to 360) on a rectangle + * 40x20 + * - second, on 500 random float rotation angle in the range -360 to 360 on + * a rectangle 40x20 + * - third, on 1000 rectangles of random WxH rotated to a random float + * angle in the range -360 to 360 + * - fourth, on 2000 rectangles of random WxH rotated to a random integer + * angle multiple of 30 degrees in the range -360 to 360 (which is the + * most tricky case). + * Using GD functions directly gives us true data coming from the GD library + * that can be used to match against the Rectangle class under test. * @code * protected function rotateResults($width, $height, $angle, &$new_width, &$new_height) { * $background = array('red' => 255, 'green' => 255, 'blue' => 255, 'alpha' => 127); @@ -65,6 +72,366 @@ public function testRotateDimensions($width, $height, $angle, $exp_width, $exp_h */ public function providerPhp55RotateDimensions() { return [ + [ 40, 20, -360, 40, 20 ], + [ 40, 20, -359, 39, 20 ], + [ 40, 20, -358, 40, 21 ], + [ 40, 20, -357, 40, 22 ], + [ 40, 20, -356, 40, 22 ], + [ 40, 20, -355, 41, 23 ], + [ 40, 20, -354, 41, 24 ], + [ 40, 20, -353, 41, 24 ], + [ 40, 20, -352, 42, 25 ], + [ 40, 20, -351, 42, 26 ], + [ 40, 20, -350, 42, 26 ], + [ 40, 20, -349, 43, 27 ], + [ 40, 20, -348, 43, 28 ], + [ 40, 20, -347, 42, 27 ], + [ 40, 20, -346, 43, 28 ], + [ 40, 20, -345, 43, 29 ], + [ 40, 20, -344, 44, 30 ], + [ 40, 20, -343, 44, 30 ], + [ 40, 20, -342, 44, 31 ], + [ 40, 20, -341, 44, 32 ], + [ 40, 20, -340, 44, 32 ], + [ 40, 20, -339, 44, 33 ], + [ 40, 20, -338, 44, 33 ], + [ 40, 20, -337, 44, 33 ], + [ 40, 20, -336, 44, 34 ], + [ 40, 20, -335, 44, 34 ], + [ 40, 20, -334, 44, 35 ], + [ 40, 20, -333, 44, 36 ], + [ 40, 20, -332, 44, 36 ], + [ 40, 20, -331, 44, 36 ], + [ 40, 20, -330, 44, 37 ], + [ 40, 20, -329, 44, 37 ], + [ 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