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Merge Sort

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  • 
    SortingAlgorithms := module:
        # A divide-and-conquer sorting algorithm that divides an array into two, sorts each divided array, and then merges the arrays together.
        # This is a recursive implementation, where the function calls itself to merge sort the divided arrays.
        # The base case (the condition to stop the recursion) is the array has only one element.
        # This is a generic implementation using parametric types, so you can provide your own type and your own comparison function as arguments.
        MergeSort<public>(Array:[]t, Compare(L:t, R:t)<decides><transacts>:t where t:type)<transacts>:[]t=
            Length:int = Array.Length
    
            if:
                Length > 1 # Verify there is more than one element in the array, otherwise we've reached the base case.
                Mid:int = Floor(Length / 2) # Get the middle index of the array.
                Left:[]t = Array.Slice[0, Mid] # Split the array in half. This keeps elements from the beginning to Mid - 1 index.
                Right:[]t = Array.Slice[Mid] # Split the array in half. This keeps elements from Mid index to the end of the array.
            then:
                # Call MergeSort on the left half of the array.
                LeftSorted:[]t = MergeSort(Left, Compare)
                # Call MergeSort on the right half of the array.
                RightSorted:[]t = MergeSort(Right, Compare)

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Last updated 2026-07-26T12:04:22.227526+00:00

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