import math
import numbers

Colors = {"white":"#ffffff","black":"#000000","red":"#ff0000","blue":"#0000ff","green":"#00ff00","yellow":"#ffff00"}




class LenghtDes:
    def __init__(self, init, name = "length"):
        self.val = init
        self.name = name

    def __set__(self,instance,value):
        if not isinstance(value, numbers.Real):
            raise ValueError(f"{self.name} have to be greater than 0.")
        elif value < 0:
            raise TypeError(f"{self.name} have to be Real, {value} given.")
        self.val = value

    def __get__(self,instnce,owner):
        return self.val

class ColorDes:
    def __init__(self,init = None, name = "color"):
        self.val = init
        self.name = name

    def __get__(self,instance,owner):
        return self.val

    def __set__(self,instance,value):
        if value not in Colors.keys():
            if str(value).lower() not in Colors.values():
                raise ValueError(f"{self.name} is not available, {value} given.")
            else:
                self.val = value
        else:
            self.val = Colors[value]

class Angle:
    def __init__(self,init,name="angle"):
        self.val = init
        self.name = name
    def __get__(self,instance,owner):
        return self.val
    def __set__(self,instance,value):
       if not isinstance(value, numbers.Real):
           raise TypeError(f"{self.name} expected to be real, {type(value)} given")
       elif not (0<=value < 2* math.pi):
           raise ValueError(f"{self.name} is expected to be in range 0-2*Pi, {value} given")
        self.val = value