describe 'Ellipse', ->
  Ellipse = require 'lib/world/ellipse'
  Rectangle = require 'lib/world/rectangle'
  Vector = require 'lib/world/vector'

  it 'contains its own center', ->
    ellipse = new Ellipse 0, 0, 10, 10
    expect(ellipse.containsPoint(new Vector 0, 0)).toBe true

  it 'contains a point when rotated', ->
    ellipse = new Ellipse 0, -20, 40, 40, 3 * Math.PI / 4
    expect(ellipse.containsPoint new Vector(0, 0)).toBe true
    expect(ellipse.containsPoint new Vector(0, 2)).toBe false

  it 'contains more points properly', ->
    # ellipse with y major axis, off-origin center, and 45 degree rotation
    ellipse = new Ellipse 1, 2, 4, 6, Math.PI / 4
    expect(ellipse.containsPoint new Vector(1, 2)).toBe true
    expect(ellipse.containsPoint new Vector(-1, 3)).toBe true
    expect(ellipse.containsPoint new Vector(0, 4)).toBe true
    expect(ellipse.containsPoint new Vector(1, 4)).toBe true
    expect(ellipse.containsPoint new Vector(3, 0)).toBe true
    expect(ellipse.containsPoint new Vector(1, 0)).toBe true
    expect(ellipse.containsPoint new Vector(0, 1)).toBe true
    expect(ellipse.containsPoint new Vector(-1, 2)).toBe true
    expect(ellipse.containsPoint new Vector(2, 2)).toBe true
    expect(ellipse.containsPoint new Vector(0, 0)).toBe false
    expect(ellipse.containsPoint new Vector(0, 5)).toBe false
    expect(ellipse.containsPoint new Vector(3, 4)).toBe false
    expect(ellipse.containsPoint new Vector(4, 0)).toBe false
    expect(ellipse.containsPoint new Vector(2, -1)).toBe false
    expect(ellipse.containsPoint new Vector(0, -3)).toBe false
    expect(ellipse.containsPoint new Vector(-2, -2)).toBe false
    expect(ellipse.containsPoint new Vector(-2, 0)).toBe false
    expect(ellipse.containsPoint new Vector(-2, 4)).toBe false

  xit 'correctly calculates distance to a faraway point', ->
    # TODO: this is the correct distance if the ellipse were a rectangle, but need to update for actual ellipse expected distances.
    ellipse = new Ellipse 100, 50, 20, 40
    p = new Vector 200, 300
    d = 10 * Math.sqrt(610)
    expect(ellipse.distanceToPoint(p)).toBeCloseTo d
    ellipse.rotation = Math.PI / 2
    d = 80 * Math.sqrt(10)
    expect(ellipse.distanceToPoint(p)).toBeCloseTo d

  it 'does not modify itself or target Vector when calculating distance', ->
    ellipse = new Ellipse -100, -200, 1, 100
    ellipse2 = ellipse.copy()
    p = new Vector -100.25, -101
    p2 = p.copy()
    ellipse.distanceToPoint(p)
    expect(p.x).toEqual p2.x
    expect(p.y).toEqual p2.y
    expect(ellipse.x).toEqual ellipse2.x
    expect(ellipse.y).toEqual ellipse2.y
    expect(ellipse.width).toEqual ellipse2.width
    expect(ellipse.height).toEqual ellipse2.height
    expect(ellipse.rotation).toEqual ellipse2.rotation

  it 'correctly calculates distance to contained point', ->
    ellipse = new Ellipse -100, -200, 1, 100
    ellipse2 = ellipse.copy()
    p = new Vector -100.25, -160
    p2 = p.copy()
    expect(ellipse.distanceToPoint(p)).toBe 0
    ellipse.rotation = 0.00000001 * Math.PI
    expect(ellipse.distanceToPoint(p)).toBe 0

  it 'AABB works when not rotated', ->
    ellipse = new Ellipse 10, 20, 30, 40
    rect = new Rectangle 10, 20, 30, 40
    aabb1 = ellipse.axisAlignedBoundingBox()
    aabb2 = ellipse.axisAlignedBoundingBox()
    for prop in ['x', 'y', 'width', 'height']
      expect(aabb1[prop]).toBe aabb2[prop]

  it 'AABB works when rotated', ->
    ellipse = new Ellipse 10, 20, 30, 40, Math.PI / 3
    rect = new Rectangle 10, 20, 30, 40, Math.PI / 3
    aabb1 = ellipse.axisAlignedBoundingBox()
    aabb2 = ellipse.axisAlignedBoundingBox()
    for prop in ['x', 'y', 'width', 'height']
      expect(aabb1[prop]).toBe aabb2[prop]

  it 'calculates ellipse intersections properly', ->
    # ellipse with y major axis, off-origin center, and 45 degree rotation
    ellipse = new Ellipse 1, 2, 4, 6, Math.PI / 4
    expect(ellipse.intersectsShape new Rectangle(0, 0, 2, 2, 0)).toBe true
    expect(ellipse.intersectsShape new Rectangle(0, -1, 2, 3, 0)).toBe true
    expect(ellipse.intersectsShape new Rectangle(-1, -0.5, 2 * Math.SQRT2, 2 * Math.SQRT2, Math.PI / 4)).toBe true
    expect(ellipse.intersectsShape new Rectangle(-1, -0.5, 2 * Math.SQRT2, 2 * Math.SQRT2, 0)).toBe true
    expect(ellipse.intersectsShape new Rectangle(-1, -1, 2 * Math.SQRT2, 2 * Math.SQRT2, 0)).toBe true
    expect(ellipse.intersectsShape new Rectangle(-1, -1, 2 * Math.SQRT2, 2 * Math.SQRT2, Math.PI / 4)).toBe false
    expect(ellipse.intersectsShape new Rectangle(-2, -2, 2, 2, 0)).toBe false
    expect(ellipse.intersectsShape new Rectangle(-Math.SQRT2 / 2, -Math.SQRT2 / 2, Math.SQRT2, Math.SQRT2, 0)).toBe false
    expect(ellipse.intersectsShape new Rectangle(-Math.SQRT2 / 2, -Math.SQRT2 / 2, Math.SQRT2, Math.SQRT2, Math.PI / 4)).toBe false
    expect(ellipse.intersectsShape new Rectangle(-2, 0, 2, 2, 0)).toBe false
    expect(ellipse.intersectsShape new Rectangle(0, -2, 2, 2, 0)).toBe false
    expect(ellipse.intersectsShape new Rectangle(1, 2, 1, 1, 0)).toBe true