Added more properties of Vectors

DIRECTORY.md

@@ -1 +1 @@
-/home/runner/work/_temp/ff4e2ecc-b47f-43ad-a9a5-aff570a64699.sh: line 1: scripts/build_directory_md.py: Permission denied
+/home/runner/work/_temp/6fdf1479-e363-4b48-b800-3caed6b26718.sh: line 1: scripts/build_directory_md.py: Permission denied

pysnippets/Mathematics/vector_operations.py

@@ -23,10 +23,147 @@ def vector_addition(vec1: List[int], vec2: List[int]) -> List[int]:
     logging.debug(f"Vector addition result: {result}")
     return result
 
-# Additional vector operations with similar refactoring...
+def vector_substraction(vec1: List[int], vec2: List[int]) -> List[int]:
+    """Substract two vectors element-wise.
+    Args:
+        vec1 (List[int]): The first vector.
+        vec2 (List[int]): The second vector.
+    Returns:
+        List[int]: The resultant vector after substraction.
+    """
+    if len(vec1) != len(vec2):
+        logging.error("Vectors must be of the same length.")
+        raise ValueError("Vectors must be of the same length.")
+
+    result = [a - b for a, b in zip(vec1, vec2)]
+    logging.debug(f"Vector substraction result: {result}")
+    return result
+
+
+def vector_division(vec1: List[int], vec2: List[int]) -> List[int]:
+    """Divide two vectors element-wise.
+    Args:
+        vec1 (List[int]): The first vector.
+        vec2 (List[int]): The second vector.
+    Returns:
+        List[int]: The resultant vector after division.
+    """
+    if len(vec1) != len(vec2):
+        logging.error("Vectors must be of the same length.")
+        raise ValueError("Vectors must be of the same length.")
+
+    result = [a / b for a, b in zip(vec1, vec2)]
+    logging.debug(f"Vector division result: {result}")
+    return result
+
+def dot_product(vec1: List[int], vec2: List[int]) -> int:
+    """Calculate the dot product of two vectors.
+    Args:
+        vec1 (List[int]): The first vector.
+        vec2 (List[int]): The second vector.
+    Returns:
+        int: The dot product of the two vectors.
+    """
+    if len(vec1) != len(vec2):
+        logging.error("Vectors must be of the same length.")
+        raise ValueError("Vectors must be of the same length.")
+
+    result = sum([a * b for a, b in zip(vec1, vec2)])
+    logging.debug(f"Dot product result: {result}")
+    return result
+
+def cross_product(vec1: List[int], vec2: List[int]) -> List[int]:
+    """Calculate the cross product of two vectors.
+    Args:
+        vec1 (List[int]): The first vector.
+        vec2 (List[int]): The second vector.
+    Returns:
+        List[int]: The cross product of the two vectors.
+    """
+    if len(vec1) != len(vec2):
+        logging.error("Vectors must be of the same length.")
+        raise ValueError("Vectors must be of the same length.")
+
+    if len(vec1) != 3:
+        logging.error("Cross product is only defined for 3D vectors.")
+        raise ValueError("Cross product is only defined for 3D vectors.")
+
+    result = [
+        vec1[1] * vec2[2] - vec1[2] * vec2[1],
+        vec1[2] * vec2[0] - vec1[0] * vec2[2],
+        vec1[0] * vec2[1] - vec1[1] * vec2[0]
+    ]
+    logging.debug(f"Cross product result: {result}")
+    return result
+
+def magnitude(vec: List[int]) -> float:
+    """Calculate the magnitude of a vector.
+    Args:
+        vec (List[int]): The vector.
+    Returns:
+        float: The magnitude of the vector.
+    """
+    result = sum([a ** 2 for a in vec]) ** 0.5
+    logging.debug(f"Magnitude result: {result}")
+    return result
+
+def normalization(vec: List[int]) -> List[int]:
+    """Normalize a vector.
+    Args:
+        vec (List[int]): The vector.
+    Returns:
+        List[int]: The normalized vector.
+    """
+    mag = magnitude(vec)
+    result = [a / mag for a in vec]
+    logging.debug(f"Normalization result: {result}")
+    return result
+
+def vector_angle(vec1: List[int], vec2: List[int]) -> float:
+    """Calculate the angle between two vectors.
+    Args:
+        vec1 (List[int]): The first vector.
+        vec2 (List[int]): The second vector.
+    Returns:
+        float: The angle between the two vectors.
+    """
+    dot = dot_product(vec1, vec2)
+    mag1 = magnitude(vec1)
+    mag2 = magnitude(vec2)
+    result = dot / (mag1 * mag2)
+    logging.debug(f"Vector angle result: {result}")
+    return result
+
+def tensor_vector_product(tensor: List[List[int]], vec: List[int]) -> List[int]:
+    """Calculate the product of a tensor and a vector.
+    Args:
+        tensor (List[List[int]]): The tensor.
+        vec (List[int]): The vector.
+    Returns:
+        List[int]: The resultant vector after the product.
+    """
+    if len(tensor) != len(vec):
+        logging.error("Tensor and vector must be of the same length.")
+        raise ValueError("Tensor and vector must be of the same length.")
+
+    result = [sum([a * b for a, b in zip(row, vec)]) for row in tensor]
+    logging.debug(f"Tensor vector product result: {result}")
+    return result
+
 
 # Example usage
 if __name__ == "__main__":
     v1 = [1, 2, 3]
     v2 = [4, 5, 6]
     print("Vector Addition:", vector_addition(v1, v2)) 
+
+    print("Vector Substraction:", vector_substraction(v1, v2))
+    print("Vector Division:", vector_division(v1, v2))
+    print("Dot Product:", dot_product(v1, v2))
+    print("Cross Product:", cross_product(v1, v2))
+    print("Magnitude:", magnitude(v1))
+    print("Normalization:", normalization(v1))
+    print("Vector Angle:", vector_angle(v1, v2))
+    print("Tensor Vector Product:", tensor_vector_product([[1, 2, 3], [4, 5, 6], [7, 8, 9]], v1))
+
+