> For the complete documentation index, see [llms.txt](https://bhabs.gitbook.io/prepbook/llms.txt). Markdown versions of documentation pages are available by appending `.md` to page URLs; this page is available as [Markdown](https://bhabs.gitbook.io/prepbook/workrelatedcoding/rectangle-overlap.md).

# Rectangle Overlap

## [Calculate overlapped area between two rectangles](https://stackoverflow.com/questions/27152904/calculate-overlapped-area-between-two-rectangles)

```
 print("Valid IOU found for: ", rectGT, rectPD)
 Ax = max(rectGT[0], rectPD[0])
 Ay = max(rectGT[1], rectPD[1])
 Cx = min(rectGT[2], rectPD[2])
 Cy = min(rectGT[3], rectPD[3])

 IOU = abs(Cx - Ax) * abs(Cy - Ay)
```

## [Find if two rectangles overlap](https://www.geeksforgeeks.org/find-two-rectangles-overlap/)

```
Assume that the (0,0) reference coordinate is at the top left corner
  # In Python:
    # ---------------------------------------------------------
    # Check if 2 rectangles overlap
    # ---------------------------------------------------------
    def doOverlap(self, rectGT, rectPD): #Point l1, Point r1, Point l2, Point r2)
        # If one rectangle is on left side of other
        if rectGT[0] > rectPD[2] or rectPD[0] > rectGT[2]: #(l1.x > r2.x || l2.x > r1.x)
            return -1

        # If one rectangle is above other
        if rectGT[1] > rectPD[3] or rectPD[1] > rectGT[3]: #(l1.y < r2.y || l2.y < r1.y)
            return -1

        return 1



# In C++
Assume that the (0,0) reference coordinate is at the top left corner


#include<bits/stdc++.h>

struct Point
{
    int x, y;
};

// Returns true if two rectangles (l1, r1) and (l2, r2) overlap
bool doOverlap(Point l1, Point r1, Point l2, Point r2)
{
    // If one rectangle is on left side of other
    if (l1.x > r2.x || l2.x > r1.x)
        return false;

    // If one rectangle is above other 
    // (this is true when we assume (0,0) ref coordinate is at the bottom left corner
    //if (l1.y < r2.y || l2.y < r1.y)
        //return false;

    // Amit: (this is true when we assume (0,0) ref coordinate is at the top left corner
    if (l1.y > r2.y || l2.y > r1.y)
        return false;



    return true;
}

/* Driver program to test above function */
int main()
{
    Point l1 = {0, 10}, r1 = {10, 0};
    Point l2 = {5, 5}, r2 = {15, 0};
    if (doOverlap(l1, r1, l2, r2))
        printf("Rectangles Overlap");
    else
        printf("Rectangles Don't Overlap");
    return 0;
}
```


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