# -*- coding: iso-8859-15 -*
from math import sqrt
import pdb

class Vector(object):
	def __init__(self, coordinates):
		try:
			if not coordinates:
				raise ValueError
			self.coordinates = tuple(coordinates)
			self.dimension = len(coordinates)
			
		except ValueError:
			raise ValueError('Die Koordinaten dürfen nicht leer sein')
			
		except TypeError:
			raise TypeError('Die Koordinaten müssen iterierbar sein')
			
			
	def __str__(self):
		return 'Vector: {}'.format(self.coordinates)
		
		
	def __eq__(self, v):
		return self.coordinates == v.coordinates
		
	def plus(self,v):
		new_coordinates = [x+y for x,y in zip(self.coordinates, v.coordinates)]
		return Vector(new_coordinates)
	
	#def plus(self,v):
	#	new_coordinates =[]
	#	n = len(self.coordinates)
	#	for i in range(n):
	#		new_coordinates.append(self.coordinates[i] + v.coordinates[i])
			
	def minus(self,v):
		new_coordinates = [x-y for x,y in zip(self.coordinates, v.coordinates)]
		return Vector(new_coordinates)
		
	def times_scalar(self, c):
		new_coordinates = [c*x for x in self.coordinates]
		return Vector(new_coordinates)
		
	def laenge(self):
		coordinates_squared = [x**2 for x in self.coordinates]
		#pdb.set_trace()
		return sqrt(sum(coordinates_squared))

	def norm(self):
		coordinates_squared = [x**2 for x in self.coordinates]
		#pdb.set_trace()
		return sqrt(sum(coordinates_squared))
	
		
	def normalized(self):
		try:
			magnitude = self.magnitude()
			return self.times_scalar(1./magnitude)
		except ZeroDivisonError:
			raise Exception('Ein Null-Vektor kann nicht normalisiert werden')
			
# Tests


veka1 = Vector([0,5,3])
veka2 = Vector([2,2,1])

print (veka1.plus(veka2))

veka3 = Vector([3,4])
print(veka3.laenge())

veka4 = Vector([10,5])
print(veka4.laenge()) #magnitude