I'm trying to make a class of Polar numbers without using libraries that make all the work for me. I was trying to make the pow function. Polar numbers when are raised to a power between 0 and 1 you expect multiple results, and the thing is that my code is behaving like a generator and I think it shouldn't.
import math
def sin(x,/):
return math.sin(math.radians(x))
def cos(x,/):
return math.cos(math.radians(x))
def arctan(x,/):
return math.degrees(math.atan(x))
class polar():
def __init__(self, complex_num,angle=None):
if angle != None:
self.r = complex_num
self.alpha = angle
elif type(complex_num) in (float, int, complex):
complex_num = complex(complex_num)
self.r = ((complex_num.real**2)+(complex_num.imag**2))**0.5
if complex_num.real != 0:
if complex_num.imag > 0 and complex_num.real > 0:
self.alpha = arctan(complex_num.imag/complex_num.real)
elif complex_num.imag > 0 and complex_num.real < 0:
self.alpha = 180-(arctan(complex_num.imag/abs(complex_num.real)))
elif complex_num.imag < 0 and complex_num.real < 0:
self.alpha = 180+(arctan(abs(complex_num.imag)/abs(complex_num.real)))
else:
self.alpha = 360-(arctan(abs(complex_num.imag)/complex_num.real))
else:
if complex_num.real > 0:
self.alpha = 90
else:
self.alpha = 270
while self.alpha >= 360:
self.alpha -=360
while self.alpha < 0:
self.alpha += 360
def __pow__(self,exponent):
result = []
if type(exponent) not in (int,float):
raise TypeError("Exponent must be a number")
if exponent == 0:
return polar(1,0)
elif exponent == 1:
return self
elif exponent > 1 or exponent < 0:
return polar(self.r**exponent, self.alpha*exponent)
else:
index = int(1/exponent)
for i in range(index):
alpha = (self.alpha/index) + ((360/index)*i)
result.append(polar(self.r**exponent, alpha))
return result
def __str__(self) -> str:
return f"{self.r} {self.alpha}º"
def complexToPolar(polar_num: str,/):
try:
polar_num = polar_num.replace("º","")
polar_num = polar_num.split()
r = float(polar_num[0])
alpha = float(polar_num[1])
z = r*(cos(alpha)+sin(alpha)*1j)
return z
except:
raise Exception(TypeError)
print(polar(0-243j)**(1/5)
I tryed to use yield but the variable "i" wasn't incrementing at all, so I could get the fist result but not them all, the expected result is:
[3.0 54.0º, 3.0 126.0º, 3.0 198.0º, 3.0 270.0º, 3.0 342.0º]
But what i'm getting is:
[<__main__.polar object at 0x00000198710D66D0>, <__main__.polar object at 0x00000198710D6690>, <__main__.polar object at 0x00000198710D68D0>, <__main__.polar object at 0x00000198710D65D0>, <__main__.polar object at 0x00000198710D6850>]
You made a list of polar objects inside __pow__
and then you returned it. That's exactly what you see with [<__main__.polar object at ...
So the only thing that is wrong is your print statement at the end. This works:
for obj in polar(0-243j)**(1/5):
print(f"{obj.r} {obj.alpha}º")
Output:
3.0 54.0º
3.0 126.0º
3.0 198.0º
3.0 270.0º
3.0 342.0º
If the for _ in
thing is hard to see, then play with it one statement at a time on the console:
>>> mylist = polar(0-243j)**(1/5)
>>> mylist
[<__main__.polar obje...86F8DE8C0>, <__main__.polar obje...86F8DEA10>, <__main__.polar obje...86F8DE9B0>, <__main__.polar obje...86F8DE950>, <__main__.polar obje...86F8DE8F0>]
>>> mylist[0]
<__main__.polar object at 0x000001A86F8DE8C0>
>>> mylist[0].r
3.0
>>> mylist[0].alpha
54.0
Edit: Ok, my eyes skipped over your __str__
definition. @metatoaster's comment is correct. Just replace it with __repr__
and you're good.