CODEWITHSUNDEEP
python-3.x
user15397207
user15397207

Reputation:

TypeError: unsupported operand type(s) for ^: 'float' and 'int'

import math
phi = math.sqrt(5) / 2
pi = (802 * phi - 801) / (602 * phi - 601)
pi = round(pi ^ 4)
print("Pi is equivalent to", pi)

I am trying to create a program that calculates the approximate value of pi., However, it returns an error in line 4.

What is wrong here? Both pi and 4 ar either integers or floats so shouldn't exponents be fine?

Traceback (most recent call last):
  File "C:/Users/Chris/Desktop/run module.py", line 4, in <module>
    pi = round(pi ^ 4)
TypeError: unsupported operand type(s) for ^: 'float' and 'int'

Upvotes: 1

Views: 10246

Answers (2)

Arya McCarthy
Arya McCarthy

Reputation: 8814

That's not the exponentiation (i.e., power) operator in Python. You want ** instead of ^.

import math
phi = math.sqrt(5) / 2
pi = (802 * phi - 801) / (602 * phi - 601)
pi = round(pi ** 4)
print("Pi is equivalent to", pi)

Granted, this won't give a great result. It'll just give you 3 because of the round call.

If you want something slightly better, remove the rounding. Change that error line to:

pi = pi ** 4

Now you'll get 3.1066259768762885. Not perfect, but certainly better.

Of course, another fun way to approximate pi comes from Randall Munroe.

Fixing the math; improving the approximation

But you want something exact to 7 decimal places, and your approximation should be.

Another approximation involving the golden ratio phi is given by pi approx ((802phi-801)/(602phi-601))^4,
(18) which is good to 7 digits (K. Rashid, pers. comm.).

The issue is that your definition of phi is incorrect. Try phi = (1 + math.sqrt(5)) / 2.

import math
phi = (1 + math.sqrt(5)) / 2  # Correct definition for golden ratio
pi = (802 * phi - 801) / (602 * phi - 601)
pi = round(pi ** 4, 7)
print("Pi is equivalent to", pi)

You'll get 3.1415926, as was sought.

Upvotes: 4

Ishaan Dugar
Ishaan Dugar

Reputation: 53

import math
phi = math.sqrt(5) / 2
pi = (802 * phi - 801) / (602 * phi - 601)
pi = round(pi ** 4) #CHANGES MADE HERE
print("Pi is equivalent to", pi)

Should make it work because you had used '^' or the Bitwise Operator. For exponents, use '**'.

Upvotes: 2

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