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