110 lines
2.7 KiB
CoffeeScript
110 lines
2.7 KiB
CoffeeScript
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# 000 000 00000000 0000000 000000000 0000000 00000000
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# 000 000 000 000 000 000 000 000 000
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# 000 000 0000000 000 000 000 000 0000000
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# 000 000 000 000 000 000 000 000
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# 0 00000000 0000000 000 0000000 000 000
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# X = 0
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# SX = 0
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# Y = 1
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# Z = 2
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# W = 3
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# SY = 5
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# SZ = 10
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# TX = 12
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# TY = 13
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# TZ = 14
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class Vector
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constructor: (@x,@y,@z,@w) ->
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if @x instanceof Vector
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@copy @x
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copy: (v) ->
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@x = v.x
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@y = v.y
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@z = v.z
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@w = v.w
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@
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normal: -> new Vector(@).normalize()
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parallel: (n) ->
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dot = @x*n.x + @y*n.y + @z*n.z
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new Vector dot*n.x, dot*n.y, dot*n.z
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# returns the projection of normalized vector n to vector that is perpendicular to this
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perpendicular: (n) ->
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dot = @x*n.x + @y*n.y + @z*n.z
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new Vector @x-dot*n.x, @y-dot*n.y, @z-dot*n.z
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reflect: (n) ->
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dot = 2*(@x*n.x + @y*n.y + @z*n.z)
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new Vector @x-dot*n.x, @y-dot*n.y, @z-dot*n.z
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cross: (v) -> new Vector @y*v.z-@z*v.y, @z*v.x-@x*v.z, @x*v.y-@y*v.x
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normalize: ->
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l = @length()
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if l
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l = 1.0/l
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@x *= l
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@y *= l
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@z *= l
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@w *= l
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@
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xyperp: -> new Vector -@y, @x
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round: -> new Vector @rint(@x), @rint(@y), @rint(@z), @w
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rint: (n) ->
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if n < 0 then Math.floor(n - 0.5)
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else Math.round n
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xyangle: (v) ->
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thisXY = new Vector(@x, @y).normal()
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otherXY = new Vector(v.x, v.y).normal()
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if thisXY.xyperp() * otherXY >= 0
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return Vector.RAD2DEG(Math.acos(thisXY * otherXY))
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-Vector.RAD2DEG(Math.acos(thisXY * otherXY));
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length: -> Math.sqrt @x*@x+@y*@y+@z*@z+@w*@w
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angle: (v) -> Vector.RAD2DEG Math.acos @normal()*v.normal()
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dot: (v) -> @x*v.x + @y*v.y + @z*v.z + @w*v.w
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mul: (f) -> new Vector @x*f, @y*f, @z*f, @w*f
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div: (d) -> new Vector @x/d, @y/d, @z/d, @w/d
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plus: (v) -> new Vector @x+v.x, @y+v.y, @z+v.z, @w+v.w
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minus: (v) -> new Vector @x-v.x, @y-v.y, @z-v.z, @w-v.w
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add: (v) ->
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@x += v.x
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@y += v.y
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@z += v.z
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@w += v.w
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@
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sub: (v) ->
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@x -= v.x
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@y -= v.y
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@z -= v.z
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@w -= v.w
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@
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scale: (f) ->
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@x *= f
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@y *= f
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@z *= f
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@w *= f
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@
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reset: ->
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@x = @y = @z = @w = 0
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@
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isZero: -> @x == @y == @z == 0
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@DEG2RAD: (d) -> Math.PI*d/180.0
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@RAD2DEG: (r) -> r*180.0/Math.PI
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module.exports = Vector |