Shape Detector

local UserInputService = game:GetService("UserInputService")
local RunService = game:GetService("RunService")

local isDrawing = false
local points = {}

-- Accuracy tuning parameters (you can adjust these)
local LINE_THRESHOLD = 20 -- Lower = more sensitive for detecting straight lines
local CIRCLE_RADIUS_DEVIATION = 30 -- Lower = more sensitive for detecting perfect circles
local RIGHT_ANGLE_THRESHOLD = 40 -- Tolerance for detecting right angles (in degrees)
local MIN_TURN_ANGLE = 40 -- Minimum angle considered a "turn" for polygon detection
local POLYGON_ANGLE_THRESHOLD = 30 -- Tolerance for angle deviation in polygons

-- Start drawing when mouse button is pressed
UserInputService.InputBegan:Connect(function(input)
    if input.UserInputType == Enum.UserInputType.MouseButton1 then
        isDrawing = true
        points = {} -- Reset points
    end
end)

-- Track mouse movement while drawing
UserInputService.InputChanged:Connect(function(input)
    if isDrawing and input.UserInputType == Enum.UserInputType.MouseMovement then
        local mousePosition = input.Position
        table.insert(points, Vector2.new(mousePosition.X, mousePosition.Y))
    end
end)

-- Stop drawing and analyze points when mouse button is released
UserInputService.InputEnded:Connect(function(input)
    if input.UserInputType == Enum.UserInputType.MouseButton1 then
        isDrawing = false
        detectShape(points)
    end
end)

-- Function to detect the shape
function detectShape(points)
    if #points < 10 then
        print("Too few points to detect a shape.")
        return
    end

    local firstPoint = points[1]
    local lastPoint = points[#points]

    -- Check if the first and last points are close (to form closed shapes)
    local distance = (firstPoint - lastPoint).Magnitude

    if distance < 50 then
        if isCircle(points) then
            print("Circle detected!")
        elseif isSquare(points) then
            print("Square/Rectangle detected!")
        elseif isTriangle(points) then
            print("Triangle detected!")
        elseif isPolygon(points) then
            print("Polygon detected!")
        else
            print("Unknown closed shape")
        end
    else
        if isLine(points) then
            print("Line detected!")
        else
            print("Unknown open shape")
        end
    end
end

-- Helper function to check if the points form a line
function isLine(points)
    local totalLength = 0
    local directLineLength = (points[1] - points[#points]).Magnitude

    for i = 2, #points do
        totalLength = totalLength + (points[i] - points[i - 1]).Magnitude
    end

    -- If the total length of the segments is almost equal to the direct line distance, it's a line
    return math.abs(totalLength - directLineLength) < LINE_THRESHOLD
end

-- Helper function to check if the points form a circle
function isCircle(points)
    local center = (points[1] + points[#points]) / 2
    local totalRadius = 0
    local radiusDeviation = 0

    -- Calculate the average radius from the center
    for _, point in ipairs(points) do
        local radius = (point - center).Magnitude
        totalRadius = totalRadius + radius
    end

    local averageRadius = totalRadius / #points

    -- Calculate the deviation from the average radius
    for _, point in ipairs(points) do
        local radius = (point - center).Magnitude
        radiusDeviation = radiusDeviation + math.abs(radius - averageRadius)
    end

    -- If the deviation is small, it's a circle
    return radiusDeviation / #points < CIRCLE_RADIUS_DEVIATION
end

-- Helper function to check if the points form a square or rectangle
function isSquare(points)
    local function getAngle(v1, v2)
        return math.acos(v1:Dot(v2) / (v1.Magnitude * v2.Magnitude))
    end

    local rightAngleCount = 0
    local turns = 0

    -- Check for 90-degree turns (right angles)
    for i = 2, #points - 1 do
        local v1 = (points[i] - points[i - 1]).Unit
        local v2 = (points[i + 1] - points[i]).Unit
        local angle = getAngle(v1, v2)

        -- 90-degree turns (right angle)
        if math.abs(math.deg(angle) - 90) < RIGHT_ANGLE_THRESHOLD then
            rightAngleCount = rightAngleCount + 1
        end

        -- Track major turns
        if math.deg(angle) > MIN_TURN_ANGLE then
            turns = turns + 1
        end
    end

    -- A square/rectangle usually has 4 right angles and exactly 4 turns
    return rightAngleCount >= 3 and turns == 4
end

-- Helper function to check if the points form a triangle
function isTriangle(points)
    local function getAngle(v1, v2)
        return math.acos(v1:Dot(v2) / (v1.Magnitude * v2.Magnitude))
    end

    local turns = 0

    -- Check for 3 major turns to detect a triangle
    for i = 2, #points - 1 do
        local v1 = (points[i] - points[i - 1]).Unit
        local v2 = (points[i + 1] - points[i]).Unit
        local angle = getAngle(v1, v2)

        -- If the angle between segments indicates a sharp turn, increment
        if math.deg(angle) > MIN_TURN_ANGLE then
            turns = turns + 1
        end
    end

    -- A triangle has exactly 3 turns (corners)
    return turns == 3
end

-- Helper function to check if the points form a polygon (with more than 4 sides)
function isPolygon(points)
    local function getAngle(v1, v2)
        return math.acos(v1:Dot(v2) / (v1.Magnitude * v2.Magnitude))
    end

    local turns = 0
    local angleSum = 0
    local angles = {}

    -- Measure all angles between points
    for i = 2, #points - 1 do
        local v1 = (points[i] - points[i - 1]).Unit
        local v2 = (points[i + 1] - points[i]).Unit
        local angle = math.deg(getAngle(v1, v2))

        if angle > MIN_TURN_ANGLE then
            table.insert(angles, angle)
            turns = turns + 1
        end
    end

    -- Check if all angles are roughly the same for a regular polygon
    if #angles >= 4 then
        local averageAngle = 0
        for _, angle in ipairs(angles) do
            averageAngle = averageAngle + angle
        end
        averageAngle = averageAngle / #angles

        -- Check if the deviation from the average angle is small
        local deviation = 0
        for _, angle in ipairs(angles) do
            deviation = deviation + math.abs(angle - averageAngle)
        end

        -- If deviation is small, it's likely a regular polygon
        return deviation / #angles < POLYGON_ANGLE_THRESHOLD
    end

    return false
end