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This question considers how to compute the lenght of the hypotenuse of right angled triangles using Pythaogorus' theorem. The theorem states that if you know the length of the two sides closes to the right-angle-sayz and y-then the length of the other side, the hypotenuse, h is given by h² = x² + y². h y X a. A naive implementation would simply take h = √√√z² + y². i. Implement the naive approach using Python and Numpy. You should ensure parameters are converted to np. double for computation. ii. Test your implementation. What is the length of the hypotenuse of a right angled triangle whose other two side lengths are 115 and 252? b. This implementation is called naive since overflow may occur and int is returned.

This question considers how to compute the lenght of the hypotenuse of right angled triangles using Pythaogorus' theorem. The theorem states that if you know the length of the two sides closes to the right-angle-sayz and y-then the length of the other side, the hypotenuse, h is given by h² = x² + y². h y X a. A naive implementation would simply take h = √√√z² + y². i. Implement the naive approach using Python and Numpy. You should ensure parameters are converted to np. double for computation. ii. Test your implementation. What is the length of the hypotenuse of a right angled triangle whose other two side lengths are 115 and 252? b. This implementation is called naive since overflow may occur and int is returned.

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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This question considers how to compute the lenght of the hypotenuse of right angled triangles using Pythaogorus' theorem. The theorem states that if you know the length of the two sides closes to the right-angle-say z and y-then the length of the other side, the hypotenuse, h is given by h² = 2² + y². h X a. A naive implementation would simply take h = y = √z²+y². i. Implement the naive approach using Python and Numpy. You should ensure parameters are converted to np.double for computation. ii. Test your implementation. What is the length of the hypotenuse of a right angled triangle whose other two side lengths are 115 and 252? b. This implementation is called naive since overflow may occur and int is returned. i. Create a table of values investigating this overflow. Fix x = 1 and set y = 10 for N = 0, 10, 20, 300. Your table should include the side lengths and y and the value your function returns.
Transcribed Image Text:This question considers how to compute the lenght of the hypotenuse of right angled triangles using Pythaogorus' theorem. The theorem states that if you know the length of the two sides closes to the right-angle-say z and y-then the length of the other side, the hypotenuse, h is given by h² = 2² + y². h X a. A naive implementation would simply take h = y = √z²+y². i. Implement the naive approach using Python and Numpy. You should ensure parameters are converted to np.double for computation. ii. Test your implementation. What is the length of the hypotenuse of a right angled triangle whose other two side lengths are 115 and 252? b. This implementation is called naive since overflow may occur and int is returned. i. Create a table of values investigating this overflow. Fix x = 1 and set y = 10 for N = 0, 10, 20, 300. Your table should include the side lengths and y and the value your function returns.
ii. Why does the naive implementation overflow? c. As an alternative, we can improve the naive algorithm by factoring. Suppose X >y, then we see that h = |x|√√/1 + (y/x)². d. derive the improved formula for x ≤ y i. Implement this new method using Python and Numpy. Again ensure function arguments are converted to np. double before computation starts. ii. Recreate the table from part b. with your new implementation. iii. What are some disadvantages of the improved method over the naive approach?
Transcribed Image Text:ii. Why does the naive implementation overflow? c. As an alternative, we can improve the naive algorithm by factoring. Suppose X >y, then we see that h = |x|√√/1 + (y/x)². d. derive the improved formula for x ≤ y i. Implement this new method using Python and Numpy. Again ensure function arguments are converted to np. double before computation starts. ii. Recreate the table from part b. with your new implementation. iii. What are some disadvantages of the improved method over the naive approach?
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