4 local function assert_vector(v)
5 assert(type(v) == "table" and v.x and v.y and v.z, "Invalid vector")
8 function vector.new(a, b, c)
9 if type(a) == "table" then
10 assert(a.x and a.y and a.z, "Invalid vector passed to vector.new()")
11 return {x=a.x, y=a.y, z=a.z}
13 assert(b and c, "Invalid arguments for vector.new()")
14 return {x=a, y=b, z=c}
16 return {x=0, y=0, z=0}
19 function vector.equals(a, b)
27 function vector.length(v)
29 return math.hypot(v.x, math.hypot(v.y, v.z))
32 function vector.normalize(v)
34 local len = vector.length(v)
36 return {x=0, y=0, z=0}
38 return vector.divide(v, len)
42 function vector.round(v)
45 x = math.floor(v.x + 0.5),
46 y = math.floor(v.y + 0.5),
47 z = math.floor(v.z + 0.5)
51 function vector.distance(a, b)
57 return math.hypot(x, math.hypot(y, z))
60 function vector.direction(pos1, pos2)
63 local x_raw = pos2.x - pos1.x
64 local y_raw = pos2.y - pos1.y
65 local z_raw = pos2.z - pos1.z
66 local x_abs = math.abs(x_raw)
67 local y_abs = math.abs(y_raw)
68 local z_abs = math.abs(z_raw)
71 y_raw = y_raw * (1 / x_abs)
72 z_raw = z_raw * (1 / x_abs)
77 x_raw = x_raw * (1 / y_abs)
78 z_raw = z_raw * (1 / y_abs)
83 x_raw = x_raw * (1 / z_abs)
84 y_raw = y_raw * (1 / z_abs)
87 return {x=x_raw, y=y_raw, z=z_raw}
91 function vector.add(a, b)
93 if type(b) == "table" then
95 return {x = a.x + b.x,
105 function vector.subtract(a, b)
107 if type(b) == "table" then
109 return {x = a.x - b.x,
119 function vector.multiply(a, b)
121 if type(b) == "table" then
123 return {x = a.x * b.x,
133 function vector.divide(a, b)
135 if type(b) == "table" then
137 return {x = a.x / b.x,