StellarXipher/Assets/Puzzles/Untangle/Scripts/UntangleGame.cs

using UnityEngine;
using UnityEngine.UI;
using System.Collections.Generic;
using TMPro;

public class UntangleGame : MonoBehaviour
{
    public class Point
    {
        public float x, y;
        public GameObject visual;
        public int index;
    }

    public class Edge
    {
        public int a, b; // indices of connected points
        public bool isCrossed;
        public LineRenderer line;
    }

    [Header("Game Objects")]
    public GameObject pointPrefab;
    public LineRenderer edgePrefab;
    
    [Header("Game Settings")]
    public int pointCount = 10;
    public float playAreaSize = 8f;
    
    [Header("Colors")]
    public Color normalEdgeColor = Color.black;
    public Color crossedEdgeColor = Color.red;
    public Color pointColor = Color.blue;
    public Color dragPointColor = Color.white;
    public Color cursorPointColor = Color.gray;
    public Color neighborPointColor = Color.red;
    
    [Header("Visual Settings")]
    public float pointRadius = 0.2f;
    public float dragThreshold = 0.5f;
    
    [Header("Options")]
    public bool snapToGrid = false;
    public bool showCrossedEdges = true;
    public bool showVertexNumbers = false;

    private List<Point> points = new List<Point>();
    private List<Edge> edges = new List<Edge>();
    private int draggedPoint = -1;
    private int cursorPoint = -1;
    private bool isSolved = false;
    private Camera mainCamera;
    private Material lineMaterial;

    void Start()
    {
        mainCamera = Camera.main;
        
        // Create material for lines to prevent pink color
        lineMaterial = new Material(Shader.Find("UI/Default"));
        lineMaterial.color = normalEdgeColor;
        
        GenerateGame();
    }

    void GenerateGame()
    {
        // Clear existing game
        foreach (Point p in points)
        {
            if (p.visual != null) Destroy(p.visual);
        }
        foreach (Edge e in edges)
        {
            if (e.line != null) Destroy(e.line.gameObject);
        }
        points.Clear();
        edges.Clear();
        isSolved = false;

        // Create points in a circle (local space)
        for (int i = 0; i < pointCount; i++)
        {
            float angle = i * 2 * Mathf.PI / pointCount;
            Point p = new Point
            {
                x = Mathf.Sin(angle) * playAreaSize * 0.4f,
                y = Mathf.Cos(angle) * playAreaSize * 0.4f,
                index = i
            };
            points.Add(p);
        }

        // Create edges (simplified planar graph)
        for (int i = 0; i < pointCount; i++)
        {
            int connections = Mathf.Min(3, pointCount - i - 1);
            for (int j = 1; j <= connections; j++)
            {
                int k = (i + j) % pointCount;
                edges.Add(new Edge { a = i, b = k });
            }
        }

        CreateVisuals();
        CheckCrossings();
    }

    void CreateVisuals()
    {
        // Create point visuals
        foreach (Point p in points)
        {
            p.visual = Instantiate(pointPrefab, transform);
            p.visual.transform.localPosition = new Vector3(p.x, p.y, 0);
            p.visual.transform.localScale = Vector3.one * pointRadius * 2;
            
            if (showVertexNumbers)
            {
                Text text = p.visual.GetComponentInChildren<Text>();
                if (text != null)
                {
                    text.text = p.index.ToString();
                    text.enabled = showVertexNumbers;
                }
            }
        }

        // Create edge visuals
        foreach (Edge e in edges)
        {
            e.line = Instantiate(edgePrefab, transform);
            e.line.useWorldSpace = false;
            e.line.material = lineMaterial;
            e.line.startWidth = 0.1f;
            e.line.endWidth = 0.1f;
            UpdateEdgeVisual(e);
        }
    }

    void UpdateEdgeVisual(Edge e)
    {
        Point a = points[e.a];
        Point b = points[e.b];
        
        e.line.startColor = e.isCrossed && showCrossedEdges ? crossedEdgeColor : normalEdgeColor;
        e.line.endColor = e.line.startColor;
        e.line.SetPosition(0, new Vector3(a.x, a.y, 0));
        e.line.SetPosition(1, new Vector3(b.x, b.y, 0));
    }

    void Update()
    {
        HandleInput();
        UpdateVisuals();
    }

    void HandleInput()
    {
        Vector2 localMousePos;
        RectTransformUtility.ScreenPointToLocalPointInRectangle(
            GetComponent<RectTransform>(),
            Input.mousePosition,
            mainCamera,
            out localMousePos);
        Debug.Log($"Mouse Position: {localMousePos}");

        if (Input.GetMouseButtonDown(0))
        {
            int closest = FindClosestPoint(localMousePos);
            if (closest != -1) draggedPoint = closest;
        }
        else if (Input.GetMouseButton(0) && draggedPoint != -1)
        {
            if (snapToGrid)
            {
                float gridSize = playAreaSize / (pointCount - 1);
                points[draggedPoint].x = Mathf.Round(localMousePos.x / gridSize) * gridSize;
                points[draggedPoint].y = Mathf.Round(localMousePos.y / gridSize) * gridSize;
            }
            else
            {
                points[draggedPoint].x = localMousePos.x;
                points[draggedPoint].y = localMousePos.y;
            }

            // Keep within bounds
            points[draggedPoint].x = Mathf.Clamp(points[draggedPoint].x, -playAreaSize/2, playAreaSize/2);
            points[draggedPoint].y = Mathf.Clamp(points[draggedPoint].y, -playAreaSize/2, playAreaSize/2);

            CheckCrossings();
        }
        else if (Input.GetMouseButtonUp(0))
        {
            draggedPoint = -1;
        }
        else
        {
            cursorPoint = FindClosestPoint(localMousePos);
        }
    }

    int FindClosestPoint(Vector2 localPosition)
    {
        int closest = -1;
        float minDist = float.MaxValue;

        for (int i = 0; i < points.Count; i++)
        {
            float dist = Vector2.Distance(localPosition, new Vector2(points[i].x, points[i].y));
            Debug.Log($"Point {i}: Distance {dist}");
            if (dist < dragThreshold && dist < minDist)
            {
                minDist = dist;
                closest = i;
            }
        }
        Debug.Log($"Closest point: {closest} at distance {minDist}");
        return closest;
    }

    void UpdateVisuals()
    {
        // Update point positions
        for (int i = 0; i < points.Count; i++)
        {
            Point p = points[i];
            p.visual.transform.localPosition = new Vector3(p.x, p.y, 0);

            // Update point color
            Image img = p.visual.GetComponent<Image>();
            if (img != null)
            {
                if (i == draggedPoint)
                    img.color = dragPointColor;
                else if (i == cursorPoint)
                    img.color = cursorPointColor;
                else if (draggedPoint != -1 && IsConnected(draggedPoint, i))
                    img.color = neighborPointColor;
                else
                    img.color = pointColor;
            }
        }

        // Update edges
        foreach (Edge e in edges)
        {
            UpdateEdgeVisual(e);
        }
    }

    bool IsConnected(int a, int b)
    {
        foreach (Edge e in edges)
        {
            if ((e.a == a && e.b == b) || (e.a == b && e.b == a))
                return true;
        }
        return false;
    }

    void CheckCrossings()
    {
        bool anyCrossings = false;

        // Reset all edges
        foreach (Edge e in edges)
        {
            e.isCrossed = false;
        }

        // Check all edge pairs for crossings
        for (int i = 0; i < edges.Count; i++)
        {
            Edge e1 = edges[i];
            Point a1 = points[e1.a];
            Point a2 = points[e1.b];

            for (int j = i + 1; j < edges.Count; j++)
            {
                Edge e2 = edges[j];
                Point b1 = points[e2.a];
                Point b2 = points[e2.b];

                // Skip if edges share a point
                if (e1.a == e2.a || e1.a == e2.b || e1.b == e2.a || e1.b == e2.b)
                    continue;

                if (DoLinesIntersect(a1, a2, b1, b2))
                {
                    e1.isCrossed = true;
                    e2.isCrossed = true;
                    anyCrossings = true;
                }
            }
        }

        isSolved = !anyCrossings;
    }

    bool DoLinesIntersect(Point a1, Point a2, Point b1, Point b2)
    {
        Vector2 p1 = new Vector2(a1.x, a1.y);
        Vector2 p2 = new Vector2(a2.x, a2.y);
        Vector2 p3 = new Vector2(b1.x, b1.y);
        Vector2 p4 = new Vector2(b2.x, b2.y);

        float d = (p2.x - p1.x) * (p4.y - p3.y) - (p2.y - p1.y) * (p4.x - p3.x);
        if (d == 0) return false;

        float u = ((p3.x - p1.x) * (p4.y - p3.y) - (p3.y - p1.y) * (p4.x - p3.x)) / d;
        float v = ((p3.x - p1.x) * (p2.y - p1.y) - (p3.y - p1.y) * (p2.x - p1.x)) / d;

        return (u >= 0) && (u <= 1) && (v >= 0) && (v <= 1);
    }

    public void OnSnapToGridToggle(bool value)
    {
        snapToGrid = value;
    }

    public void OnShowCrossedEdgesToggle(bool value)
    {
        showCrossedEdges = value;
        foreach (Edge e in edges)
        {
            UpdateEdgeVisual(e);
        }
    }

    public void OnVertexNumbersToggle(bool value)
    {
        showVertexNumbers = value;
        foreach (Point p in points)
        {
            Text text = p.visual.GetComponentInChildren<Text>();
            if (text != null)
            {
                text.enabled = value;
            }
        }
    }

    public void OnRegenerateClick()
    {
        GenerateGame();
    }
}