Python/searches/interpolation_search.py

"""
This is pure python implementation of interpolation search algorithm
"""


def interpolation_search(sorted_collection, item):
    """Pure implementation of interpolation search algorithm in Python
    Be careful collection must be ascending sorted, otherwise result will be
    unpredictable
    :param sorted_collection: some ascending sorted collection with comparable items
    :param item: item value to search
    :return: index of found item or None if item is not found
    """
    left = 0
    right = len(sorted_collection) - 1

    while left <= right:
        #avoid devided by 0 during interpolation
        if sorted_collection[left]==sorted_collection[right]:
            if sorted_collection[left]==item:
                return left
            else:
                return None

        point = left + ((item - sorted_collection[left]) * (right - left)) // (sorted_collection[right] - sorted_collection[left])

        #out of range check
        if point<0 or point>=len(sorted_collection):
            return None

        current_item = sorted_collection[point]
        if current_item == item:
            return point
        else:
            if point<left:
                right = left
                left = point
            elif point>right:
                left = right
                right = point
            else:
                if item < current_item:
                    right = point - 1
                else:
                    left = point + 1
    return None

def interpolation_search_by_recursion(sorted_collection, item, left, right):

    """Pure implementation of interpolation search algorithm in Python by recursion
    Be careful collection must be ascending sorted, otherwise result will be
    unpredictable
    First recursion should be started with left=0 and right=(len(sorted_collection)-1)
    :param sorted_collection: some ascending sorted collection with comparable items
    :param item: item value to search
    :return: index of found item or None if item is not found
    """

    #avoid devided by 0 during interpolation
    if sorted_collection[left]==sorted_collection[right]:
        if sorted_collection[left]==item:
            return left
        else:
            return None

    point = left + ((item - sorted_collection[left]) * (right - left)) // (sorted_collection[right] - sorted_collection[left])

    #out of range check
    if point<0 or point>=len(sorted_collection):
        return None

    if sorted_collection[point] == item:
        return point
    elif point<left:
        return interpolation_search_by_recursion(sorted_collection, item, point, left)
    elif point>right:
        return interpolation_search_by_recursion(sorted_collection, item, right, left)
    else:
        if sorted_collection[point] > item:
            return interpolation_search_by_recursion(sorted_collection, item, left, point-1)
        else:
            return interpolation_search_by_recursion(sorted_collection, item, point+1, right)

def __assert_sorted(collection):
    """Check if collection is ascending sorted, if not - raises :py:class:`ValueError`
    :param collection: collection
    :return: True if collection is ascending sorted
    :raise: :py:class:`ValueError` if collection is not ascending sorted
    Examples:
    >>> __assert_sorted([0, 1, 2, 4])
    True
    >>> __assert_sorted([10, -1, 5])
    Traceback (most recent call last):
    ...
    ValueError: Collection must be ascending sorted
    """
    if collection != sorted(collection):
        raise ValueError('Collection must be ascending sorted')
    return True


if __name__ == '__main__':
    import sys

    """
	user_input = input('Enter numbers separated by comma:\n').strip()
    collection = [int(item) for item in user_input.split(',')]
    try:
        __assert_sorted(collection)
    except ValueError:
        sys.exit('Sequence must be ascending sorted to apply interpolation search')

    target_input = input('Enter a single number to be found in the list:\n')
    target = int(target_input)
	"""

    debug = 0
    if debug == 1:
        collection = [10,30,40,45,50,66,77,93]
        try:
            __assert_sorted(collection)
        except ValueError:
            sys.exit('Sequence must be ascending sorted to apply interpolation search')
        target = 67

    result = interpolation_search(collection, target)
    if result is not None:
        print('{} found at positions: {}'.format(target, result))
    else:
        print('Not found')