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126 lines
2.9 KiB
CoffeeScript
126 lines
2.9 KiB
CoffeeScript
# https://github.com/hornairs/blog/blob/master/assets/coffeescripts/flocking/vector.coffee
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class Vector
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@className: "Vector"
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# Class methods for nondestructively operating
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for name in ['add', 'subtract', 'multiply', 'divide']
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do (name) ->
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Vector[name] = (a, b, useZ) ->
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a.copy()[name](b, useZ)
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isVector: true
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apiProperties: ['x', 'y', 'magnitude', 'heading', 'distance', 'dot', 'equals', 'copy']
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constructor: (@x=0, @y=0, @z=0) ->
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copy: ->
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new Vector(@x, @y, @z)
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magnitude: (useZ) ->
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sum = @x * @x + @y * @y
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sum += @z * @z if useZ
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Math.sqrt sum
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magnitudeSquared: (useZ) ->
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sum = @x * @x + @y * @y
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sum += @z * @z if useZ
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sum
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normalize: (useZ) ->
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m = @magnitude useZ
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@divide m, useZ if m > 0
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@
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limit: (max) ->
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if @magnitude() > max
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@normalize()
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return @multiply(max)
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else
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@
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heading: ->
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-1 * Math.atan2(-1 * @y, @x)
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distance: (other, useZ) ->
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dx = @x - other.x
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dy = @y - other.y
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sum = dx * dx + dy * dy
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if useZ
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dz = @z - other.z
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sum += dz * dz
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Math.sqrt sum
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distanceSquared: (other, useZ) ->
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dx = @x - other.x
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dy = @y - other.y
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sum = dx * dx + dy * dy
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if useZ
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dz = @z - other.z
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sum += dz * dz
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sum
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subtract: (other, useZ) ->
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@x -= other.x
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@y -= other.y
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@z -= other.z if useZ
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@
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add: (other, useZ) ->
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@x += other.x
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@y += other.y
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@z += other.z if useZ
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@
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divide: (n, useZ) ->
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[@x, @y] = [@x / n, @y / n]
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@z = @z / n if useZ
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@
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multiply: (n, useZ) ->
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[@x, @y] = [@x * n, @y * n]
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@z = @z * n if useZ
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@
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dot: (other, useZ) ->
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sum = @x * other.x + @y * other.y
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sum += @z + other.z if useZ
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sum
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# Not the strict projection, the other isn't converted to a unit vector first.
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projectOnto: (other, useZ) ->
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other.copy().multiply(@dot(other, useZ), useZ)
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isZero: (useZ) ->
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result = @x is 0 and @y is 0
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result = result and @z is 0 if useZ
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result
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equals: (other, useZ) ->
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result = other and @x is other.x and @y is other.y
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result = result and @z is other.z if useZ
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result
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# Rotate it around the origin
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# If we ever want to make this also use z: https://en.wikipedia.org/wiki/Axes_conventions
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rotate: (theta) ->
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return @ unless theta
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[@x, @y] = [Math.cos(theta) * @x - Math.sin(theta) * @y, Math.sin(theta) * @x + Math.cos(theta) * @y]
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@
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invalid: () ->
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return (@x is Infinity) || isNaN(@x) || @y is Infinity || isNaN(@y) || @z is Infinity || isNaN(@z)
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toString: (useZ) ->
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useZ = true
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return "{x: #{@x.toFixed(0)}, y: #{@y.toFixed(0)}, z: #{@z.toFixed(0)}}" if useZ
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return "{x: #{@x.toFixed(0)}, y: #{@y.toFixed(0)}}"
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serialize: ->
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{CN: @constructor.className, x: @x, y: @y, z: @z}
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@deserialize: (o, world, classMap) ->
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new Vector o.x, o.y, o.z
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serializeForAether: -> @serialize()
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@deserializeFromAether: (o) -> @deserialize o
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module.exports = Vector
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