codecombat/app/lib/world/line_segment.coffee

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2014-07-16 18:57:53 -04:00
class LineSegment
@className: "LineSegment"
constructor: (@a, @b) ->
@slope = (@a.y - @b.y) / (@a.x - @b.x)
@y0 = @a.y - (@slope * @a.x)
@left = if @a.x < @b.x then @a else @b
@right = if @a.x > @b.x then @a else @b
@bottom = if @a.y < @b.y then @a else @b
@top = if @a.y > @b.y then @a else @b
y: (x) ->
(@slope * x) + @y0
x: (y) ->
(y - @y0) / @slope
intersectsLineSegment: (lineSegment) ->
if lineSegment.slope is @slope
if lineSegment.y0 is @y0
if lineSegment.left.x is @left.x or lineSegment.left.x is @right.x or lineSegment.right.x is @right.x or lineSegment.right.x is @left.x
# segments are of the same line with shared start and/or end points
return true
else
[left, right] = if lineSegment.left.x < @left.x then [lineSegment, @] else [@, lineSegment]
if left.right.x > right.left.x
# segments are of the same line and one is contained within the other
return true
else if Math.abs(@slope) isnt Infinity and Math.abs(lineSegment.slope) isnt Infinity
x = (lineSegment.y0 - @y0) / (@slope - lineSegment.slope)
if x >= @left.x and x <= @right.x and x >= lineSegment.left.x and x <= lineSegment.right.x
return true
else if Math.abs(@slope) isnt Infinity or Math.abs(lineSegment.slope) isnt Infinity
[vertical, nonvertical] = if Math.abs(@slope) isnt Infinity then [lineSegment, @] else [@, lineSegment]
x = vertical.a.x
bottom = vertical.bottom.y
top = vertical.top.y
y = nonvertical.y(x)
left = nonvertical.left.x
right = nonvertical.right.x
if y >= bottom and y <= top and x >= left and x <= right
return true
false
pointOnLine: (point, segment=true) ->
if point.y is @y(point.x)
if segment
[littleY, bigY] = if @a.y < @b.y then [@a.y, @b.y] else [@b.y, @a.y]
if littleY <= point.y and bigY >= point.y
return true
else
return true
false
distanceSquaredToPoint: (point) ->
# http://stackoverflow.com/a/1501725/540620
return @a.distanceSquared point if @a.equals @b
res = Math.min point.distanceSquared(@a), point.distanceSquared(@b)
lineMagnitudeSquared = @a.distanceSquared @b
t = ((point.x - @a.x) * (@b.x - @a.x) + (point.y - @a.y) * (@b.y - @a.y)) / lineMagnitudeSquared
return @a.distanceSquared point if t < 0
return @b.distanceSquared point if t > 1
point.distanceSquared x: @a.x + t * (@b.x - @a.x), y: @a.y + t * (@b.y - @a.y)
distanceToPoint: (point) ->
Math.sqrt @distanceSquaredToPoint point
toString: ->
"lineSegment(a=#{@a}, b=#{@b}, slope=#{@slope}, y0=#{@y0}, left=#{@left}, right=#{@right}, bottom=#{@bottom}, top=#{@top})"
serialize: ->
{CN: @constructor.className, a: @a, b: @b}
@deserialize: (o, world, classMap) ->
new LineSegment o.a, o.b
serializeForAether: -> @serialize()
@deserializeFromAether: (o) -> @deserialize o
module.exports = LineSegment