Working binary insertion sort in Python

sorts/binary_insertion_sort.py

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+"""
+This is a pure Python implementation of the binary insertion sort algorithm
+
+For doctests run following command:
+python -m doctest -v binary_insertion_sort.py
+or
+python3 -m doctest -v binary_insertion_sort.py
+
+For manual testing run:
+python binary_insertion_sort.py
+"""
+
+
+def binary_insertion_sort(collection):
+    """Pure implementation of the binary insertion sort algorithm in Python
+    :param collection: some mutable ordered collection with heterogeneous
+    comparable items inside
+    :return: the same collection ordered by ascending
+
+    Examples:
+    >>> binary_insertion_sort([0, 4, 1234, 4, 1])
+    [0, 1, 4, 4, 1234]
+    >>> binary_insertion_sort([]) == sorted([])
+    True
+    >>> binary_insertion_sort([-1, -2, -3]) == sorted([-1, -2, -3])
+    True
+    >>> binary_insertion_sort(['d', 'a', 'b', 'e', 'c']) == sorted(['d', 'a', 'b', 'e', 'c'])
+    True
+    >>> import random
+    >>> collection = random.sample(range(-50, 50), 100)
+    >>> binary_insertion_sort(collection) == sorted(collection)
+    True
+    >>> import string
+    >>> collection = random.choices(string.ascii_letters + string.digits, k=100)
+    >>> binary_insertion_sort(collection) == sorted(collection)
+    True
+    """
+
+
+
+    n = len(collection)
+    for i in range(1, n):
+        val = collection[i]
+        low = 0
+        high = i - 1
+
+        while low <= high:
+            mid = (low + high) // 2
+            if val < collection[mid]:
+                high = mid - 1
+            else:
+                low = mid + 1
+        for j in range(i, low, -1):
+            collection[j] = collection[j - 1]
+        collection[low] = val
+    return collection
+
+
+
+if __name__ == "__main__":
+    user_input = input("Enter numbers separated by a comma:\n").strip()
+    unsorted = [int(item) for item in user_input.split(",")]
+    print(binary_insertion_sort(unsorted))