rect.js

/**
 * @license
 * Copyright The Closure Library Authors.
 * SPDX-License-Identifier: Apache-2.0
 */

/**
 * @fileoverview A utility class for representing rectangles. Some of these
 * functions should be migrated over to non-nullable params.
 */

goog.provide('goog.math.Rect');

goog.require('goog.asserts');
goog.require('goog.math.Box');
goog.require('goog.math.Coordinate');
goog.require('goog.math.IRect');
goog.require('goog.math.Size');



/**
 * Class for representing rectangular regions.
 * @param {number} x Left.
 * @param {number} y Top.
 * @param {number} w Width.
 * @param {number} h Height.
 * @struct
 * @constructor
 * @implements {goog.math.IRect}
 */
goog.math.Rect = function(x, y, w, h) {
  'use strict';
  /** @type {number} */
  this.left = x;

  /** @type {number} */
  this.top = y;

  /** @type {number} */
  this.width = w;

  /** @type {number} */
  this.height = h;
};


/**
 * @return {!goog.math.Rect} A new copy of this Rectangle.
 */
goog.math.Rect.prototype.clone = function() {
  'use strict';
  return new goog.math.Rect(this.left, this.top, this.width, this.height);
};


/**
 * Returns a new Box object with the same position and dimensions as this
 * rectangle.
 * @return {!goog.math.Box} A new Box representation of this Rectangle.
 */
goog.math.Rect.prototype.toBox = function() {
  'use strict';
  var right = this.left + this.width;
  var bottom = this.top + this.height;
  return new goog.math.Box(this.top, right, bottom, this.left);
};


/**
 * Creates a new Rect object with the position and size given.
 * @param {!goog.math.Coordinate} position The top-left coordinate of the Rect
 * @param {!goog.math.Size} size The size of the Rect
 * @return {!goog.math.Rect} A new Rect initialized with the given position and
 *     size.
 */
goog.math.Rect.createFromPositionAndSize = function(position, size) {
  'use strict';
  return new goog.math.Rect(position.x, position.y, size.width, size.height);
};


/**
 * Creates a new Rect object with the same position and dimensions as a given
 * Box.  Note that this is only the inverse of toBox if left/top are defined.
 * @param {goog.math.Box} box A box.
 * @return {!goog.math.Rect} A new Rect initialized with the box's position
 *     and size.
 */
goog.math.Rect.createFromBox = function(box) {
  'use strict';
  return new goog.math.Rect(
      box.left, box.top, box.right - box.left, box.bottom - box.top);
};


if (goog.DEBUG) {
  /**
   * Returns a nice string representing size and dimensions of rectangle.
   * @return {string} In the form (50, 73 - 75w x 25h).
   * @override
   */
  goog.math.Rect.prototype.toString = function() {
    'use strict';
    return '(' + this.left + ', ' + this.top + ' - ' + this.width + 'w x ' +
        this.height + 'h)';
  };
}


/**
 * Compares rectangles for equality.
 * @param {goog.math.IRect} a A Rectangle.
 * @param {goog.math.IRect} b A Rectangle.
 * @return {boolean} True iff the rectangles have the same left, top, width,
 *     and height, or if both are null.
 */
goog.math.Rect.equals = function(a, b) {
  'use strict';
  if (a == b) {
    return true;
  }
  if (!a || !b) {
    return false;
  }
  return a.left == b.left && a.width == b.width && a.top == b.top &&
      a.height == b.height;
};


/**
 * Computes the intersection of this rectangle and the rectangle parameter.  If
 * there is no intersection, returns false and leaves this rectangle as is.
 * @param {goog.math.IRect} rect A Rectangle.
 * @return {boolean} True iff this rectangle intersects with the parameter.
 */
goog.math.Rect.prototype.intersection = function(rect) {
  'use strict';
  var x0 = Math.max(this.left, rect.left);
  var x1 = Math.min(this.left + this.width, rect.left + rect.width);

  if (x0 <= x1) {
    var y0 = Math.max(this.top, rect.top);
    var y1 = Math.min(this.top + this.height, rect.top + rect.height);

    if (y0 <= y1) {
      this.left = x0;
      this.top = y0;
      this.width = x1 - x0;
      this.height = y1 - y0;

      return true;
    }
  }
  return false;
};


/**
 * Returns the intersection of two rectangles. Two rectangles intersect if they
 * touch at all, for example, two zero width and height rectangles would
 * intersect if they had the same top and left.
 * @param {goog.math.IRect} a A Rectangle.
 * @param {goog.math.IRect} b A Rectangle.
 * @return {goog.math.Rect} A new intersection rect (even if width and height
 *     are 0), or null if there is no intersection.
 */
goog.math.Rect.intersection = function(a, b) {
  'use strict';
  // There is no nice way to do intersection via a clone, because any such
  // clone might be unnecessary if this function returns null.  So, we duplicate
  // code from above.

  var x0 = Math.max(a.left, b.left);
  var x1 = Math.min(a.left + a.width, b.left + b.width);

  if (x0 <= x1) {
    var y0 = Math.max(a.top, b.top);
    var y1 = Math.min(a.top + a.height, b.top + b.height);

    if (y0 <= y1) {
      return new goog.math.Rect(x0, y0, x1 - x0, y1 - y0);
    }
  }
  return null;
};


/**
 * Returns whether two rectangles intersect. Two rectangles intersect if they
 * touch at all, for example, two zero width and height rectangles would
 * intersect if they had the same top and left.
 * @param {goog.math.IRect} a A Rectangle.
 * @param {goog.math.IRect} b A Rectangle.
 * @return {boolean} Whether a and b intersect.
 */
goog.math.Rect.intersects = function(a, b) {
  'use strict';
  return (
      a.left <= b.left + b.width && b.left <= a.left + a.width &&
      a.top <= b.top + b.height && b.top <= a.top + a.height);
};


/**
 * Returns whether a rectangle intersects this rectangle.
 * @param {goog.math.IRect} rect A rectangle.
 * @return {boolean} Whether rect intersects this rectangle.
 */
goog.math.Rect.prototype.intersects = function(rect) {
  'use strict';
  return goog.math.Rect.intersects(this, rect);
};


/**
 * Computes the difference regions between two rectangles. The return value is
 * an array of 0 to 4 rectangles defining the remaining regions of the first
 * rectangle after the second has been subtracted.
 * @param {goog.math.Rect} a A Rectangle.
 * @param {goog.math.IRect} b A Rectangle.
 * @return {!Array<!goog.math.Rect>} An array with 0 to 4 rectangles which
 *     together define the difference area of rectangle a minus rectangle b.
 */
goog.math.Rect.difference = function(a, b) {
  'use strict';
  var intersection = goog.math.Rect.intersection(a, b);
  if (!intersection || !intersection.height || !intersection.width) {
    return [a.clone()];
  }

  var result = [];

  var top = a.top;
  var height = a.height;

  var ar = a.left + a.width;
  var ab = a.top + a.height;

  var br = b.left + b.width;
  var bb = b.top + b.height;

  // Subtract off any area on top where A extends past B
  if (b.top > a.top) {
    result.push(new goog.math.Rect(a.left, a.top, a.width, b.top - a.top));
    top = b.top;
    // If we're moving the top down, we also need to subtract the height diff.
    height -= b.top - a.top;
  }
  // Subtract off any area on bottom where A extends past B
  if (bb < ab) {
    result.push(new goog.math.Rect(a.left, bb, a.width, ab - bb));
    height = bb - top;
  }
  // Subtract any area on left where A extends past B
  if (b.left > a.left) {
    result.push(new goog.math.Rect(a.left, top, b.left - a.left, height));
  }
  // Subtract any area on right where A extends past B
  if (br < ar) {
    result.push(new goog.math.Rect(br, top, ar - br, height));
  }

  return result;
};


/**
 * Computes the difference regions between this rectangle and `rect`. The
 * return value is an array of 0 to 4 rectangles defining the remaining regions
 * of this rectangle after the other has been subtracted.
 * @param {goog.math.IRect} rect A Rectangle.
 * @return {!Array<!goog.math.Rect>} An array with 0 to 4 rectangles which
 *     together define the difference area of rectangle a minus rectangle b.
 */
goog.math.Rect.prototype.difference = function(rect) {
  'use strict';
  return goog.math.Rect.difference(this, rect);
};


/**
 * Expand this rectangle to also include the area of the given rectangle.
 * @param {goog.math.IRect} rect The other rectangle.
 */
goog.math.Rect.prototype.boundingRect = function(rect) {
  'use strict';
  // We compute right and bottom before we change left and top below.
  var right = Math.max(this.left + this.width, rect.left + rect.width);
  var bottom = Math.max(this.top + this.height, rect.top + rect.height);

  this.left = Math.min(this.left, rect.left);
  this.top = Math.min(this.top, rect.top);

  this.width = right - this.left;
  this.height = bottom - this.top;
};


/**
 * Returns a new rectangle which completely contains both input rectangles.
 * @param {goog.math.IRect} a A rectangle.
 * @param {goog.math.IRect} b A rectangle.
 * @return {goog.math.Rect} A new bounding rect, or null if either rect is
 *     null.
 */
goog.math.Rect.boundingRect = function(a, b) {
  'use strict';
  if (!a || !b) {
    return null;
  }

  var newRect = new goog.math.Rect(a.left, a.top, a.width, a.height);
  newRect.boundingRect(b);

  return newRect;
};


/**
 * Tests whether this rectangle entirely contains another rectangle or
 * coordinate.
 *
 * @param {goog.math.IRect|goog.math.Coordinate} another The rectangle or
 *     coordinate to test for containment.
 * @return {boolean} Whether this rectangle contains given rectangle or
 *     coordinate.
 */
goog.math.Rect.prototype.contains = function(another) {
  'use strict';
  if (another instanceof goog.math.Coordinate) {
    return another.x >= this.left && another.x <= this.left + this.width &&
        another.y >= this.top && another.y <= this.top + this.height;
  } else {  // (another instanceof goog.math.IRect)
    return this.left <= another.left &&
        this.left + this.width >= another.left + another.width &&
        this.top <= another.top &&
        this.top + this.height >= another.top + another.height;
  }
};


/**
 * @param {!goog.math.Coordinate} point A coordinate.
 * @return {number} The squared distance between the point and the closest
 *     point inside the rectangle. Returns 0 if the point is inside the
 *     rectangle.
 */
goog.math.Rect.prototype.squaredDistance = function(point) {
  'use strict';
  var dx = point.x < this.left ?
      this.left - point.x :
      Math.max(point.x - (this.left + this.width), 0);
  var dy = point.y < this.top ? this.top - point.y :
                                Math.max(point.y - (this.top + this.height), 0);
  return dx * dx + dy * dy;
};


/**
 * @param {!goog.math.Coordinate} point A coordinate.
 * @return {number} The distance between the point and the closest point
 *     inside the rectangle. Returns 0 if the point is inside the rectangle.
 */
goog.math.Rect.prototype.distance = function(point) {
  'use strict';
  return Math.sqrt(this.squaredDistance(point));
};


/**
 * @return {!goog.math.Size} The size of this rectangle.
 */
goog.math.Rect.prototype.getSize = function() {
  'use strict';
  return new goog.math.Size(this.width, this.height);
};


/**
 * @return {!goog.math.Coordinate} A new coordinate for the top-left corner of
 *     the rectangle.
 */
goog.math.Rect.prototype.getTopLeft = function() {
  'use strict';
  return new goog.math.Coordinate(this.left, this.top);
};


/**
 * @return {!goog.math.Coordinate} A new coordinate for the center of the
 *     rectangle.
 */
goog.math.Rect.prototype.getCenter = function() {
  'use strict';
  return new goog.math.Coordinate(
      this.left + this.width / 2, this.top + this.height / 2);
};


/**
 * @return {!goog.math.Coordinate} A new coordinate for the bottom-right corner
 *     of the rectangle.
 */
goog.math.Rect.prototype.getBottomRight = function() {
  'use strict';
  return new goog.math.Coordinate(
      this.left + this.width, this.top + this.height);
};


/**
 * Rounds the fields to the next larger integer values.
 * @return {!goog.math.Rect} This rectangle with ceil'd fields.
 */
goog.math.Rect.prototype.ceil = function() {
  'use strict';
  this.left = Math.ceil(this.left);
  this.top = Math.ceil(this.top);
  this.width = Math.ceil(this.width);
  this.height = Math.ceil(this.height);
  return this;
};


/**
 * Rounds the fields to the next smaller integer values.
 * @return {!goog.math.Rect} This rectangle with floored fields.
 */
goog.math.Rect.prototype.floor = function() {
  'use strict';
  this.left = Math.floor(this.left);
  this.top = Math.floor(this.top);
  this.width = Math.floor(this.width);
  this.height = Math.floor(this.height);
  return this;
};


/**
 * Rounds the fields to nearest integer values.
 * @return {!goog.math.Rect} This rectangle with rounded fields.
 */
goog.math.Rect.prototype.round = function() {
  'use strict';
  this.left = Math.round(this.left);
  this.top = Math.round(this.top);
  this.width = Math.round(this.width);
  this.height = Math.round(this.height);
  return this;
};


/**
 * Translates this rectangle by the given offsets. If a
 * `goog.math.Coordinate` is given, then the left and top values are
 * translated by the coordinate's x and y values. Otherwise, left and top are
 * translated by `tx` and `opt_ty` respectively.
 * @param {number|goog.math.Coordinate} tx The value to translate left by or the
 *     the coordinate to translate this rect by.
 * @param {number=} opt_ty The value to translate top by.
 * @return {!goog.math.Rect} This rectangle after translating.
 */
goog.math.Rect.prototype.translate = function(tx, opt_ty) {
  'use strict';
  if (tx instanceof goog.math.Coordinate) {
    this.left += tx.x;
    this.top += tx.y;
  } else {
    this.left += goog.asserts.assertNumber(tx);
    if (typeof opt_ty === 'number') {
      this.top += opt_ty;
    }
  }
  return this;
};


/**
 * Scales this rectangle by the given scale factors. The left and width values
 * are scaled by `sx` and the top and height values are scaled by
 * `opt_sy`.  If `opt_sy` is not given, then all fields are scaled
 * by `sx`.
 * @param {number} sx The scale factor to use for the x dimension.
 * @param {number=} opt_sy The scale factor to use for the y dimension.
 * @return {!goog.math.Rect} This rectangle after scaling.
 */
goog.math.Rect.prototype.scale = function(sx, opt_sy) {
  'use strict';
  var sy = (typeof opt_sy === 'number') ? opt_sy : sx;
  this.left *= sx;
  this.width *= sx;
  this.top *= sy;
  this.height *= sy;
  return this;
};