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Convert Newton’s method for approximating square roots in Project 1 to a recursive function named newton. (Hint: The estimate of the square root should be passed as a second argument to the function.)

Convert Newton’s method for approximating square roots in Project 1 to a recursive function named newton. (Hint: The estimate of the square root should be passed as a second argument to the function.)

Computer Networking: A Top-Down Approach (7th Edition)
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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Convert Newton’s method for approximating square roots in Project 1 to a recursive function named newton. (Hint: The estimate of the square root should be passed as a second argument to the function.)

# Initialize the tolerance TOLERANCE = 0.000001 def newton(x): ""Returns the square root of x."" # Perform the successive approximations estimate = 1.0 while True: estimate = (estimate + x / estimate) / 2 difference = abs(x - estimate ** 2) if difference <= TOLERANCE: break return estimate def main(): "Allows the user to obtain square roots.""" while True: # Receive the input number from the user x = input("Enter a positive number or enter/return to quit: ") %3D if x == ": break x = float (x) # Output the result print("The program's estimate is", newton (x)) print("Python's estimate is ", math.sqrt(x)) if --name_-- : "__main__": main()
Transcribed Image Text:# Initialize the tolerance TOLERANCE = 0.000001 def newton(x): ""Returns the square root of x."" # Perform the successive approximations estimate = 1.0 while True: estimate = (estimate + x / estimate) / 2 difference = abs(x - estimate ** 2) if difference <= TOLERANCE: break return estimate def main(): "Allows the user to obtain square roots.""" while True: # Receive the input number from the user x = input("Enter a positive number or enter/return to quit: ") %3D if x == ": break x = float (x) # Output the result print("The program's estimate is", newton (x)) print("Python's estimate is ", math.sqrt(x)) if --name_-- : "__main__": main()
# Modify the code below II II I| File: newton.py Project 6.1 Compute the square root of a number (uses function with loop). 1. The input is a number, or enter/return to halt the input process. 2. The outputs are the program's estimate of the square root using Newton's method of successive approximations, and Python's own estimate using math.sqrt. II II II import math # Initialize the tolerance TOLERANCE = 0.000001 def newton(x): ""Returns the square root of x.""" # Perform the successive approximations estimate = 1.0 while True: estimate = (estimate + x / estimate) / 2 difference = abs(x - estimate ** 2) if difference <= TOLERANCE: break return estimate def main(): II I"Allows the user to obtain square roots."II" while True: # Receive the input number from the user
Transcribed Image Text:# Modify the code below II II I| File: newton.py Project 6.1 Compute the square root of a number (uses function with loop). 1. The input is a number, or enter/return to halt the input process. 2. The outputs are the program's estimate of the square root using Newton's method of successive approximations, and Python's own estimate using math.sqrt. II II II import math # Initialize the tolerance TOLERANCE = 0.000001 def newton(x): ""Returns the square root of x.""" # Perform the successive approximations estimate = 1.0 while True: estimate = (estimate + x / estimate) / 2 difference = abs(x - estimate ** 2) if difference <= TOLERANCE: break return estimate def main(): II I"Allows the user to obtain square roots."II" while True: # Receive the input number from the user
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