import decimal
import math
from decimal import Decimal
from typing import Annotated

from arcade_tdk import tool

decimal.getcontext().prec = 100


@tool
def deg_to_rad(
    degrees: Annotated[str, "Angle in degrees as a string"],
) -> Annotated[str, "Angle in radians as a string"]:
    """
    Convert an angle from degrees to radians.
    """
    # Use Decimal for arbitrary precision
    return str(math.radians(Decimal(degrees)))


@tool
def rad_to_deg(
    radians: Annotated[str, "Angle in radians as a string"],
) -> Annotated[str, "Angle in degrees as a string"]:
    """
    Convert an angle from radians to degrees.
    """
    # Use Decimal for arbitrary precision
    return str(math.degrees(Decimal(radians)))