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- vector = {}
- function vector.new(a, b, c)
- v = {x=0, y=0, z=0}
- if type(a) == "table" then
- v = {x=a.x, y=a.y, z=a.z}
- elseif a and b and c then
- v = {x=a, y=b, z=c}
- end
- setmetatable(v, {
- __add = vector.add,
- __sub = vector.subtract,
- __mul = vector.multiply,
- __div = vector.divide,
- __umn = function(v) return vector.multiply(v, -1) end,
- __len = vector.length,
- __eq = vector.equals,
- })
- return v
- end
- function vector.equals(a, b)
- return a.x == b.x and
- a.y == b.y and
- a.z == b.z
- end
- function vector.length(v)
- return math.hypot(v.x, math.hypot(v.y, v.z))
- end
- function vector.normalize(v)
- local len = vector.length(v)
- if len == 0 then
- return vector.new()
- else
- return vector.divide(v, len)
- end
- end
- function vector.round(v)
- return {
- x = math.floor(v.x + 0.5),
- y = math.floor(v.y + 0.5),
- z = math.floor(v.z + 0.5)
- }
- end
- function vector.distance(a, b)
- local x = a.x - b.x
- local y = a.y - b.y
- local z = a.z - b.z
- return math.hypot(x, math.hypot(y, z))
- end
- function vector.direction(pos1, pos2)
- local x_raw = pos2.x - pos1.x
- local y_raw = pos2.y - pos1.y
- local z_raw = pos2.z - pos1.z
- local x_abs = math.abs(x_raw)
- local y_abs = math.abs(y_raw)
- local z_abs = math.abs(z_raw)
- if x_abs >= y_abs and
- x_abs >= z_abs then
- y_raw = y_raw * (1 / x_abs)
- z_raw = z_raw * (1 / x_abs)
- x_raw = x_raw / x_abs
- end
- if y_abs >= x_abs and
- y_abs >= z_abs then
- x_raw = x_raw * (1 / y_abs)
- z_raw = z_raw * (1 / y_abs)
- y_raw = y_raw / y_abs
- end
- if z_abs >= y_abs and
- z_abs >= x_abs then
- x_raw = x_raw * (1 / z_abs)
- y_raw = y_raw * (1 / z_abs)
- z_raw = z_raw / z_abs
- end
- return {x=x_raw, y=y_raw, z=z_raw}
- end
- function vector.add(a, b)
- if type(b) == "table" then
- return vector.new(
- a.x + b.x,
- a.y + b.y,
- a.z + b.z)
- else
- return vector.new(
- a.x + b,
- a.y + b,
- a.z + b)
- end
- end
- function vector.subtract(a, b)
- if type(b) == "table" then
- return vector.new(
- a.x - b.x,
- a.y - b.y,
- a.z - b.z)
- else
- return vector.new(
- a.x - b,
- a.y - b,
- a.z - b)
- end
- end
- function vector.multiply(a, b)
- if type(b) == "table" then
- return vector.new(
- a.x * b.x,
- a.y * b.y,
- a.z * b.z)
- else
- return vector.new(
- a.x * b,
- a.y * b,
- a.z * b)
- end
- end
- function vector.divide(a, b)
- if type(b) == "table" then
- return vector.new(
- a.x / b.x,
- a.y / b.y,
- a.z / b.z)
- else
- return vector.new(
- a.x / b,
- a.y / b,
- a.z / b)
- end
- end
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