diff --git a/core/lib/Drupal/Component/Utility/Rectangle.php b/core/lib/Drupal/Component/Utility/Rectangle.php
index 46a08c9..a3e6a06 100644
--- a/core/lib/Drupal/Component/Utility/Rectangle.php
+++ b/core/lib/Drupal/Component/Utility/Rectangle.php
@@ -18,7 +18,7 @@
  * This class implements a calculation algorithm that returns, given input
  * width, height and rotation angle, dimensions of the expected image after
  * rotation that are consistent with those produced by the GD rotate image
- * toolkit operation using PHP 5.5 and above.
+ * toolkit operation using PHP 7.0.25 or 7.1.10 and above.
  *
  * @see \Drupal\system\Plugin\ImageToolkit\Operation\gd\Rotate
  */
@@ -81,95 +81,110 @@ public function __construct($width, $height) {
    * @return $this
    */
   public function rotate($angle) {
-    // PHP 5.5 GD bug: https://bugs.php.net/bug.php?id=65148: To prevent buggy
-    // behavior on negative multiples of 30 degrees we convert any negative
-    // angle to a positive one between 0 and 360 degrees.
-    $angle -= floor($angle / 360) * 360;
-
-    // For some rotations that are multiple of 30 degrees, we need to correct
-    // an imprecision between GD that uses C floats internally, and PHP that
-    // uses C doubles. Also, for rotations that are not multiple of 90 degrees,
-    // we need to introduce a correction factor of 0.5 to match the GD
-    // algorithm used in PHP 5.5 (and above) to calculate the width and height
-    // of the rotated image.
     if ((int) $angle == $angle && $angle % 90 == 0) {
-      $imprecision = 0;
-      $correction = 0;
+      // For rotations that are multiple of 90 degrees, no trigonometry is
+      // needed.
+      if (abs($angle) % 180 == 0) {
+        $this->boundingWidth = $this->width;
+        $this->boundingHeight = $this->height;
+      }
+      else {
+        $this->boundingWidth = $this->height;
+        $this->boundingHeight = $this->width;
+      }
     }
     else {
-      $imprecision = -0.00001;
-      $correction = 0.5;
+      $rotate_affine_transform = $this->gdAffineRotate($angle);
+      $bounding_box = $this->gdTransformAffineBoundingBox($this->width, $this->height, $rotate_affine_transform);
+      $this->boundingWidth = $bounding_box['width'];
+      $this->boundingHeight = $bounding_box['height'];
     }
-
-    // Do the trigonometry, applying imprecision fixes where needed.
-    $rad = deg2rad($angle);
-    $cos = cos($rad);
-    $sin = sin($rad);
-    $a = $this->width * $cos;
-    $b = $this->height * $sin + $correction;
-    $c = $this->width * $sin;
-    $d = $this->height * $cos + $correction;
-    if ((int) $angle == $angle && in_array($angle, [60, 150, 300])) {
-      $a = $this->fixImprecision($a, $imprecision);
-      $b = $this->fixImprecision($b, $imprecision);
-      $c = $this->fixImprecision($c, $imprecision);
-      $d = $this->fixImprecision($d, $imprecision);
-    }
-
-    // This is how GD on PHP5.5 calculates the new dimensions.
-    $this->boundingWidth = abs((int) $a) + abs((int) $b);
-    $this->boundingHeight = abs((int) $c) + abs((int) $d);
-
     return $this;
   }
 
   /**
-   * Performs an imprecision check on the input value and fixes it if needed.
+   * Set up a rotation affine transform.
    *
-   * GD that uses C floats internally, whereas we at PHP level use C doubles.
-   * In some cases, we need to compensate imprecision.
+   * @param float $angle
+   *   Rotation angle.
    *
-   * @param float $input
-   *   The input value.
-   * @param float $imprecision
-   *   The imprecision factor.
+   * @return array
+   *   The resulting affine transform.
    *
-   * @return float
-   *   A value, where imprecision is added to input if the delta part of the
-   *   input is lower than the absolute imprecision.
+   * @see https://libgd.github.io/manuals/2.2.2/files/gd_matrix-c.html#gdAffineRotate
    */
-  protected function fixImprecision($input, $imprecision) {
-    if ($this->delta($input) < abs($imprecision)) {
-      return $input + $imprecision;
-    }
-    return $input;
+  protected function gdAffineRotate($angle) {
+    $rad = deg2rad($angle);
+    $sin_t = sin($rad);
+    $cos_t = cos($rad);
+    return [$cos_t, $sin_t, -$sin_t, $cos_t, 0, 0];
   }
 
   /**
-   * Returns the fractional part of a float number, unsigned.
+   * Applies an affine transformation to a point.
    *
-   * @param float $input
-   *   The input value.
+   * @param array $src
+   *   The source point.
+   * @param array $affine
+   *   The affine transform to apply.
    *
-   * @return float
-   *   The fractional part of the input number, unsigned.
+   * @return array
+   *   The resulting point.
+   *
+   * @see https://libgd.github.io/manuals/2.2.2/files/gd_matrix-c.html#gdAffineApplyToPointF
    */
-  protected function fraction($input) {
-    return abs((int) $input - $input);
+  protected function gdAffineApplyToPointF(array $src, array $affine) {
+    return [
+      'x' => $src['x'] * $affine[0] + $src['y'] * $affine[2] + $affine[4],
+      'y' => $src['x'] * $affine[1] + $src['y'] * $affine[3] + $affine[5],
+    ];
   }
 
   /**
-   * Returns the difference of a fraction from the closest between 0 and 1.
+   * Returns the bounding box of an affine transform applied to a rectangle.
    *
-   * @param float $input
-   *   The input value.
+   * @param int $width
+   *   The width of the rectangle.
+   * @param int $height
+   *   The height of the rectangle.
+   * @param array $affine
+   *   The affine transform to apply.
    *
-   * @return float
-   *   the difference of a fraction from the closest between 0 and 1.
+   * @return array
+   *   The resulting bounding box.
+   *
+   * @see https://libgd.github.io/manuals/2.1.1/files/gd_interpolation-c.html#gdTransformAffineBoundingBox
    */
-  protected function delta($input) {
-    $fraction = $this->fraction($input);
-    return $fraction > 0.5 ? (1 - $fraction) : $fraction;
+  protected function gdTransformAffineBoundingBox($width, $height, $affine) {
+    $extent = [];
+    $extent[0]['x'] = 0.0;
+    $extent[0]['y'] = 0.0;
+    $extent[1]['x'] = $width;
+    $extent[1]['y'] = 0.0;
+    $extent[2]['x'] = $width;
+    $extent[2]['y'] = $height;
+    $extent[3]['x'] = 0.0;
+    $extent[3]['y'] = $height;
+
+    for ($i = 0; $i < 4; $i++) {
+      $extent[$i] = $this->gdAffineApplyToPointF($extent[$i], $affine);
+    }
+    $min = $extent[0];
+    $max = $extent[0];
+
+    for ($i = 1; $i < 4; $i++) {
+      $min['x'] = $min['x'] > $extent[$i]['x'] ? $extent[$i]['x'] : $min['x'];
+      $min['y'] = $min['y'] > $extent[$i]['y'] ? $extent[$i]['y'] : $min['y'];
+      $max['x'] = $max['x'] < $extent[$i]['x'] ? $extent[$i]['x'] : $max['x'];
+      $max['y'] = $max['y'] < $extent[$i]['y'] ? $extent[$i]['y'] : $max['y'];
+    }
+
+    return [
+      'x' => (int) $min['x'],
+      'y' => (int) $min['y'],
+      'width' => (int) ceil(($max['x'] - $min['x'])) + 1,
+      'height' => (int) ceil($max['y'] - $min['y']) + 1,
+    ];
   }
 
   /**
diff --git a/core/tests/Drupal/Tests/Component/Utility/RectangleTest.php b/core/tests/Drupal/Tests/Component/Utility/RectangleTest.php
index 49d0833..c1e8252 100644
--- a/core/tests/Drupal/Tests/Component/Utility/RectangleTest.php
+++ b/core/tests/Drupal/Tests/Component/Utility/RectangleTest.php
@@ -49,7 +49,7 @@ public function testWrongHeight() {
    * @covers ::getBoundingWidth
    * @covers ::getBoundingHeight
    *
-   * @dataProvider providerPhp55RotateDimensions
+   * @dataProvider providerPhp7025RotateDimensions
    */
   public function testRotateDimensions($width, $height, $angle, $exp_width, $exp_height) {
     $rect = new Rectangle($width, $height);
@@ -61,7 +61,8 @@ public function testRotateDimensions($width, $height, $angle, $exp_width, $exp_h
   /**
    * Provides data for image dimension rotation tests.
    *
-   * This dataset sample was generated by running on PHP 5.5 the function below
+   * This dataset sample was generated by running on PHP 7.0.25 the function
+   * below
    * - first, for all integer rotation angles (-360 to 360) on a rectangle
    *   40x20;
    * - second, for 500 random float rotation angle in the range -360 to 360 on
@@ -84,6 +85,7 @@ public function testRotateDimensions($width, $height, $angle, $exp_width, $exp_h
    *     if (is_resource($old_res)) {
    *       imagedestroy($old_res);
    *     }
+   *     $image = NULL;
    *   }
    * @endcode
    *
@@ -97,7 +99,7 @@ public function testRotateDimensions($width, $height, $angle, $exp_width, $exp_h
    *
    * @see testRotateDimensions()
    */
-  public function providerPhp55RotateDimensions() {
+  public function providerPhp7025RotateDimensions() {
     // The dataset is stored in a .json file because it is very large and causes
     // problems for PHPCS.
     return json_decode(file_get_contents(__DIR__ . '/fixtures/RectangleTest.json'));
diff --git a/core/tests/Drupal/Tests/Component/Utility/fixtures/RectangleTest.json b/core/tests/Drupal/Tests/Component/Utility/fixtures/RectangleTest.json
index 5b0edf7..a886e5c 100644
--- a/core/tests/Drupal/Tests/Component/Utility/fixtures/RectangleTest.json
+++ b/core/tests/Drupal/Tests/Component/Utility/fixtures/RectangleTest.json
@@ -1,3039 +1,3039 @@
 [
   [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,-330,44,36],
-  [40,20,-329,44,37],
-  [40,20,-328,44,38],
-  [40,20,-327,44,38],
-  [40,20,-326,44,39],
-  [40,20,-325,43,38],
-  [40,20,-324,44,39],
-  [40,20,-323,43,40],
-  [40,20,-322,43,40],
-  [40,20,-321,44,41],
-  [40,20,-320,43,40],
-  [40,20,-319,43,41],
-  [40,20,-318,42,41],
-  [40,20,-317,43,42],
-  [40,20,-316,42,41],
-  [40,20,-315,42,42],
-  [40,20,-314,41,42],
-  [40,20,-313,42,43],
-  [40,20,-312,41,42],
-  [40,20,-311,41,43],
-  [40,20,-310,40,43],
-  [40,20,-309,41,44],
-  [40,20,-308,40,43],
-  [40,20,-307,40,43],
-  [40,20,-306,39,44],
-  [40,20,-305,38,43],
-  [40,20,-304,39,44],
-  [40,20,-303,38,44],
-  [40,20,-302,38,44],
-  [40,20,-301,37,44],
-  [40,20,-300,36,44],
-  [40,20,-299,36,44],
-  [40,20,-298,36,44],
-  [40,20,-297,36,44],
-  [40,20,-296,35,44],
-  [40,20,-295,34,44],
-  [40,20,-294,34,44],
-  [40,20,-293,33,44],
-  [40,20,-292,33,44],
-  [40,20,-291,33,44],
-  [40,20,-290,32,44],
-  [40,20,-289,32,44],
-  [40,20,-288,31,44],
-  [40,20,-287,30,44],
-  [40,20,-286,30,44],
-  [40,20,-285,29,43],
-  [40,20,-284,28,43],
-  [40,20,-283,27,42],
-  [40,20,-282,28,43],
-  [40,20,-281,27,43],
-  [40,20,-280,26,42],
-  [40,20,-279,26,42],
-  [40,20,-278,25,42],
-  [40,20,-277,24,41],
-  [40,20,-276,24,41],
-  [40,20,-275,23,41],
-  [40,20,-274,22,40],
-  [40,20,-273,22,40],
-  [40,20,-272,21,40],
-  [40,20,-271,20,39],
+  [40,20,-359,42,22],
+  [40,20,-358,42,23],
+  [40,20,-357,42,24],
+  [40,20,-356,43,24],
+  [40,20,-355,43,25],
+  [40,20,-354,43,26],
+  [40,20,-353,44,26],
+  [40,20,-352,44,27],
+  [40,20,-351,44,28],
+  [40,20,-350,44,28],
+  [40,20,-349,45,29],
+  [40,20,-348,45,29],
+  [40,20,-347,45,30],
+  [40,20,-346,45,31],
+  [40,20,-345,45,31],
+  [40,20,-344,45,32],
+  [40,20,-343,46,32],
+  [40,20,-342,46,33],
+  [40,20,-341,46,33],
+  [40,20,-340,46,34],
+  [40,20,-339,46,35],
+  [40,20,-338,46,35],
+  [40,20,-337,46,36],
+  [40,20,-336,46,36],
+  [40,20,-335,46,37],
+  [40,20,-334,46,37],
+  [40,20,-333,46,37],
+  [40,20,-332,46,38],
+  [40,20,-331,46,38],
+  [40,20,-330,46,39],
+  [40,20,-329,46,39],
+  [40,20,-328,46,40],
+  [40,20,-327,46,40],
+  [40,20,-326,46,40],
+  [40,20,-325,46,41],
+  [40,20,-324,46,41],
+  [40,20,-323,45,42],
+  [40,20,-322,45,42],
+  [40,20,-321,45,42],
+  [40,20,-320,45,43],
+  [40,20,-319,45,43],
+  [40,20,-318,45,43],
+  [40,20,-317,44,43],
+  [40,20,-316,44,44],
+  [40,20,-315,44,44],
+  [40,20,-314,44,44],
+  [40,20,-313,43,44],
+  [40,20,-312,43,45],
+  [40,20,-311,43,45],
+  [40,20,-310,43,45],
+  [40,20,-309,42,45],
+  [40,20,-308,42,45],
+  [40,20,-307,42,45],
+  [40,20,-306,41,46],
+  [40,20,-305,41,46],
+  [40,20,-304,40,46],
+  [40,20,-303,40,46],
+  [40,20,-302,40,46],
+  [40,20,-301,39,46],
+  [40,20,-300,39,46],
+  [40,20,-299,38,46],
+  [40,20,-298,38,46],
+  [40,20,-297,37,46],
+  [40,20,-296,37,46],
+  [40,20,-295,37,46],
+  [40,20,-294,36,46],
+  [40,20,-293,36,46],
+  [40,20,-292,35,46],
+  [40,20,-291,35,46],
+  [40,20,-290,34,46],
+  [40,20,-289,33,46],
+  [40,20,-288,33,46],
+  [40,20,-287,32,46],
+  [40,20,-286,32,45],
+  [40,20,-285,31,45],
+  [40,20,-284,31,45],
+  [40,20,-283,30,45],
+  [40,20,-282,29,45],
+  [40,20,-281,29,45],
+  [40,20,-280,28,44],
+  [40,20,-279,28,44],
+  [40,20,-278,27,44],
+  [40,20,-277,26,44],
+  [40,20,-276,26,43],
+  [40,20,-275,25,43],
+  [40,20,-274,24,43],
+  [40,20,-273,24,42],
+  [40,20,-272,23,42],
+  [40,20,-271,22,42],
   [40,20,-270,20,40],
-  [40,20,-269,20,39],
-  [40,20,-268,21,39],
-  [40,20,-267,22,39],
-  [40,20,-266,22,39],
-  [40,20,-265,23,40],
-  [40,20,-264,24,40],
-  [40,20,-263,24,40],
-  [40,20,-262,25,41],
-  [40,20,-261,26,41],
-  [40,20,-260,26,41],
-  [40,20,-259,27,42],
-  [40,20,-258,28,42],
-  [40,20,-257,27,41],
-  [40,20,-256,28,42],
-  [40,20,-255,29,42],
-  [40,20,-254,30,43],
-  [40,20,-253,30,43],
-  [40,20,-252,31,43],
-  [40,20,-251,32,43],
-  [40,20,-250,32,43],
-  [40,20,-249,33,43],
-  [40,20,-248,33,43],
-  [40,20,-247,33,43],
-  [40,20,-246,34,43],
-  [40,20,-245,34,43],
-  [40,20,-244,35,43],
-  [40,20,-243,36,43],
-  [40,20,-242,36,43],
-  [40,20,-241,36,43],
-  [40,20,-240,36,43],
-  [40,20,-239,37,43],
-  [40,20,-238,38,43],
-  [40,20,-237,38,43],
-  [40,20,-236,39,43],
-  [40,20,-235,38,42],
-  [40,20,-234,39,43],
-  [40,20,-233,40,42],
-  [40,20,-232,40,42],
-  [40,20,-231,41,43],
-  [40,20,-230,40,42],
-  [40,20,-229,41,42],
-  [40,20,-228,41,41],
-  [40,20,-227,42,42],
-  [40,20,-226,41,41],
-  [40,20,-225,42,41],
-  [40,20,-224,42,40],
-  [40,20,-223,43,41],
-  [40,20,-222,42,40],
-  [40,20,-221,43,40],
-  [40,20,-220,43,39],
-  [40,20,-219,44,40],
-  [40,20,-218,43,39],
-  [40,20,-217,43,39],
-  [40,20,-216,44,38],
-  [40,20,-215,43,37],
-  [40,20,-214,44,38],
-  [40,20,-213,44,37],
-  [40,20,-212,44,37],
-  [40,20,-211,44,36],
-  [40,20,-210,44,35],
-  [40,20,-209,44,35],
-  [40,20,-208,44,35],
-  [40,20,-207,44,35],
-  [40,20,-206,44,34],
-  [40,20,-205,44,33],
-  [40,20,-204,44,33],
-  [40,20,-203,44,32],
-  [40,20,-202,44,32],
-  [40,20,-201,44,32],
-  [40,20,-200,44,31],
-  [40,20,-199,44,31],
-  [40,20,-198,44,30],
-  [40,20,-197,44,29],
-  [40,20,-196,44,29],
-  [40,20,-195,43,28],
-  [40,20,-194,43,27],
-  [40,20,-193,42,26],
-  [40,20,-192,43,27],
-  [40,20,-191,43,26],
-  [40,20,-190,42,25],
-  [40,20,-189,42,25],
-  [40,20,-188,42,24],
-  [40,20,-187,41,23],
-  [40,20,-186,41,23],
-  [40,20,-185,41,22],
-  [40,20,-184,40,21],
-  [40,20,-183,40,21],
-  [40,20,-182,40,20],
-  [40,20,-181,39,19],
+  [40,20,-269,22,42],
+  [40,20,-268,23,42],
+  [40,20,-267,24,42],
+  [40,20,-266,24,43],
+  [40,20,-265,25,43],
+  [40,20,-264,26,43],
+  [40,20,-263,26,44],
+  [40,20,-262,27,44],
+  [40,20,-261,28,44],
+  [40,20,-260,28,44],
+  [40,20,-259,29,45],
+  [40,20,-258,29,45],
+  [40,20,-257,30,45],
+  [40,20,-256,31,45],
+  [40,20,-255,31,45],
+  [40,20,-254,32,45],
+  [40,20,-253,32,46],
+  [40,20,-252,33,46],
+  [40,20,-251,33,46],
+  [40,20,-250,34,46],
+  [40,20,-249,35,46],
+  [40,20,-248,35,46],
+  [40,20,-247,36,46],
+  [40,20,-246,36,46],
+  [40,20,-245,37,46],
+  [40,20,-244,37,46],
+  [40,20,-243,37,46],
+  [40,20,-242,38,46],
+  [40,20,-241,38,46],
+  [40,20,-240,39,46],
+  [40,20,-239,39,46],
+  [40,20,-238,40,46],
+  [40,20,-237,40,46],
+  [40,20,-236,40,46],
+  [40,20,-235,41,46],
+  [40,20,-234,41,46],
+  [40,20,-233,42,45],
+  [40,20,-232,42,45],
+  [40,20,-231,42,45],
+  [40,20,-230,43,45],
+  [40,20,-229,43,45],
+  [40,20,-228,43,45],
+  [40,20,-227,43,44],
+  [40,20,-226,44,44],
+  [40,20,-225,44,44],
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@@ -3044,89 +3044,89 @@
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@@ -3134,824 +3134,824 @@
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@@ -3961,263 +3961,263 @@
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