Merge pull request #2 from AranMesquita/fibonacci-code

added fibonacci matrix exponentiation implementation in python and rust

Author: AranMesquita

src-py/example.py

@@ -0,0 +1,28 @@
+def _power(m: list[int], n: int) -> list[int]:
+    result = [1, 0, 0, 1]
+    while n > 0:
+        if n % 2 == 1:
+            result = _multiply(result, m)
+
+        m = _multiply(m, m)
+        n //= 2
+
+    return result
+
+
+def _multiply(a: list[int], b: list[int]) -> list[int]:
+    return [
+        a[0] * b[0] + a[1] * b[2],
+        a[0] * b[1] + a[1] * b[3],
+        a[2] * b[0] + a[3] * b[2],
+        a[2] * b[1] + a[3] * b[3],
+    ]
+
+
+def python_nth_fibonacci_using_matrix_exponentiation(n: int) -> int:
+    if n == 0:
+        return 0
+    else:
+        base = [1, 1, 1, 0]
+        result = _power(base, n - 1)
+        return result[0]

src-py/fibonacci_matrix_exponentiation.py

@@ -0,0 +1,13 @@
+import test_rust_in_python
+from fibonacci_matrix_exponentiation import python_nth_fibonacci_using_matrix_exponentiation
+
+
+RUST_FUNCTIONS = test_rust_in_python
+
+rust_fibonacci_reuslt = RUST_FUNCTIONS.rust_nth_fibonacci_using_matrix_exponentiation(93) # type: ignore
+
+print(f"Result from Rust: {rust_fibonacci_reuslt}")
+
+
+python_fibonacci_reuslt = python_nth_fibonacci_using_matrix_exponentiation(93)
+print(f"Result from Python: {python_fibonacci_reuslt}")