Java Program to Perform Polygon Containment Test

This is a Java Program to check whether a polygon contains another polygon or not. The class returns true if one polygon contains another, false otherwise.

Here is the source code of the Java Program to Perform Polygon Containment Test. The Java program is successfully compiled and run on a Windows system. The program output is also shown below.

//This is a java program to test whether a polygon is inside another polygon

```
class Point
```
```
{
```
```
    int x, y;
```
```
 
```
```
    Point()
```
```
    {
```
```
    }
```
```
 
```
```
    Point(int p, int q)
```
```
    {
```
```
        x = p;
```
```
        y = q;
```
```
    }
```
```
}
```
```
 
```
```
public class Position_Point_WRT_Polygon
```
```
{
```
```
 
```

    public static boolean onSegment(Point p, Point q, Point r)

```
    {
```

        if (q.x <= Math.max(p.x, r.x) && q.x >= Math.min(p.x, r.x)

                && q.y <= Math.max(p.y, r.y) && q.y >= Math.min(p.y, r.y))

```
            return true;
```
```
        return false;
```
```
    }
```
```
 
```

    public static int orientation(Point p, Point q, Point r)

```
    {
```

        int val = (q.y - p.y) * (r.x - q.x) - (q.x - p.x) * (r.y - q.y);

```
 
```
```
        if (val == 0)
```
```
            return 0;
```
```
        return (val > 0) ? 1 : 2;
```
```
    }
```
```
 
```

    public static boolean doIntersect(Point p1, Point q1, Point p2, Point q2)

```
    {
```
```
 
```

        int o1 = orientation(p1, q1, p2);

        int o2 = orientation(p1, q1, q2);

        int o3 = orientation(p2, q2, p1);

        int o4 = orientation(p2, q2, q1);

```
 
```
```
        if (o1 != o2 && o3 != o4)
```
```
            return true;
```
```
 
```

        if (o1 == 0 && onSegment(p1, p2, q1))

```
            return true;
```
```
 
```

        if (o2 == 0 && onSegment(p1, q2, q1))

```
            return true;
```
```
 
```

        if (o3 == 0 && onSegment(p2, p1, q2))

```
            return true;
```
```
 
```

        if (o4 == 0 && onSegment(p2, q1, q2))

```
            return true;
```
```
 
```
```
        return false;
```
```
    }
```
```
 
```

    public static boolean isInside(Point polygon[], int n, Point p)

```
    {
```
```
        int INF = 10000;
```
```
        if (n < 3)
```
```
            return false;
```
```
 
```

        Point extreme = new Point(INF, p.y);

```
 
```
```
        int count = 0, i = 0;
```
```
        do
```
```
        {
```
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            int next = (i + 1) % n;
```

            if (doIntersect(polygon[i], polygon[next], p, extreme))

```
            {
```

                if (orientation(polygon[i], p, polygon[next]) == 0)

                    return onSegment(polygon[i], p, polygon[next]);

```
 
```
```
                count++;
```
```
            }
```
```
            i = next;
```
```
        } while (i != 0);
```
```
 
```

        return (count & 1) == 1 ? true : false;

```
    }
```
```
 
```

    public static Boolean DoesPolygonContainPolygon(Point[] p1, Point[] p2)

```
    {
```
```
        Point p;
```

        for (int i = 0; i < p2.length; i++)

```
        {
```

            p = new Point(p2[i].x, p2[i].y);

            if (!isInside(p1, p1.length, p))

```
                return false;
```
```
        }
```
```
        return true;
```
```
    }
```
```
 
```

    public static void main(String args[])

```
    {
```

        Point polygon1[] = { new Point(0, 0), new Point(10, 0),

                new Point(10, 10), new Point(0, 10) };

```
 
```

        Point polygon2[] = { new Point(0, 0), new Point(15, 5), new Point(5, 0) };

```
 
```

        Point polygon3[] = { new Point(0, 0), new Point(10, 0),

                new Point(10, 10), new Point(0, 10), new Point(5, 5) };

```
 
```

        System.out.println("Polygon 1 contains Polygon 2 :"

                + DoesPolygonContainPolygon(polygon1, polygon2));

```
 
```

        System.out.println("Polygon 3 contains Polygon 1 :"

                + DoesPolygonContainPolygon(polygon3, polygon1));

```
 
```
```
    }
```
```
}
```

Output:

$ javac Polygon_Containment_Test.java
$ java Polygon_Containment_Test
 
Polygon 1 contains Polygon 2 :false
Polygon 3 contains Polygon 1 :true

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