from langchain_core.tools import tool
import cmath
import math

@tool
def add(a: int, b: int) -> int:
    """
    Adds two numbers.
    Args:
        a (integer): the first number
        b (integer): the second number
    """
    return a + b

@tool
def sub(a: int, b: int) -> int:
    """
    Subracts two numbers.
    Args:
        a (integer): the first number
        b (integer): the second number
    """
    return a - b

@tool
def mul(a: int, b: int) -> int:
    """
    multiplies two numbers.
    Args:
        a (integer): the first number
        b (integer): the second number
    """
    return a * b

@tool
def div(a: int, b: int) -> float:
    """
    divides two numbers and gave float as a result
    Args:
        a (integer): the first number
        b (integer): the second number
    """
    return a / b

@tool
def floor_div(a: int, b: int) -> int:
    """
    divides two numbers and gave integr as a result
    Args:
        a (integer): the first number
        b (integer): the second number
    """
    return a // b

@tool
def square(a: int) -> int:
    """
    returns square of the number
    Args:
        a (integer): the number
    """
    return a * a

@tool
def mod(a: int, b: int) -> int:
    """
    Modulus of two numbers.
    Args:
        a (integer): the first number
        b (integer): the second number
    """
    return a % b

@tool
def pow(a: int, b: int) -> int:
    """
    Get the power of two numbers
    Args:
        a (integer): the first number
        b (integer): the second number
    """
    return a ** b

@tool
def square_root(a: int):
    """
    Square root of the number
    Args: 
        a (integer): the number
    """
    if a < 0:
        return cmath.sqrt(a)
    else:
        return a ** 0.5

@tool
def absolute(a: int) -> int:
    """
    returns absolute value of the number
    Args:
        a (integer): the number
    """
    return a if a >= 0 else -a

@tool
def gcd(a: int, b: int) -> int:
    """
    returns gcd of two numbers using recursion
    Args:
        a (integer): the first number
        b (integer): the second number
    """
    if b == 0:
        return a
    return gcd(b, a % b)

@tool
def lcm(a: int, b: int) -> int:
    """
    returns lcm of two numbers
    Args:
        a (integer): the first number
        b (integer): the second number
    """
    return absolute(a * b) // gcd(a, b)

@tool
def factorial(a: int) -> int:
    """
    returns factorial of a number
    Args:
        a (integer): the number
    """
    if a <= 1:
        return 1
    return a * factorial(a - 1)