4 function vector.new(a, b, c)
6 if type(a) == "table" then
7 v = {x=a.x, y=a.y, z=a.z}
8 elseif a and b and c then
13 __sub = vector.subtract,
14 __mul = vector.multiply,
15 __div = vector.divide,
16 __umn = function(v) return vector.multiply(v, -1) end,
17 __len = vector.length,
23 function vector.equals(a, b)
29 function vector.length(v)
30 return math.hypot(v.x, math.hypot(v.y, v.z))
33 function vector.normalize(v)
34 local len = vector.length(v)
38 return vector.divide(v, len)
42 function vector.round(v)
44 x = math.floor(v.x + 0.5),
45 y = math.floor(v.y + 0.5),
46 z = math.floor(v.z + 0.5)
50 function vector.distance(a, b)
54 return math.hypot(x, math.hypot(y, z))
57 function vector.direction(pos1, pos2)
58 local x_raw = pos2.x - pos1.x
59 local y_raw = pos2.y - pos1.y
60 local z_raw = pos2.z - pos1.z
61 local x_abs = math.abs(x_raw)
62 local y_abs = math.abs(y_raw)
63 local z_abs = math.abs(z_raw)
66 y_raw = y_raw * (1 / x_abs)
67 z_raw = z_raw * (1 / x_abs)
72 x_raw = x_raw * (1 / y_abs)
73 z_raw = z_raw * (1 / y_abs)
78 x_raw = x_raw * (1 / z_abs)
79 y_raw = y_raw * (1 / z_abs)
82 return {x=x_raw, y=y_raw, z=z_raw}
86 function vector.add(a, b)
87 if type(b) == "table" then
100 function vector.subtract(a, b)
101 if type(b) == "table" then
114 function vector.multiply(a, b)
115 if type(b) == "table" then
128 function vector.divide(a, b)
129 if type(b) == "table" then