Cody

Problem 2909. Approximation of Pi (vector inputs)

Solution 2561247

Submitted on 15 Jun 2020 by Li Kehan Li
This solution is locked. To view this solution, you need to provide a solution of the same size or smaller.

Test Suite

Test Status Code Input and Output
1   Pass
n = 1:5; y_correct = [-0.858407346410207 0.474925986923126 -0.325074013076874 0.246354558351698 -0.198089886092747]; answers = pi_approx(n); for i = 1:numel(n) assert(abs(answers(i)-y_correct(i))<(100*eps)) end

y = -0.8584 y = -0.8584 0.4749 y = -0.8584 0.4749 -0.3251 y = -0.8584 0.4749 -0.3251 0.2464 y = -0.8584 0.4749 -0.3251 0.2464 -0.1981

2   Pass
n = 2:2:10; y_correct = [0.474925986923126 0.246354558351698 0.165546477543617 0.124520836517975 0.099753034660390]; answers = pi_approx(n); for i = 1:numel(n) assert(abs(answers(i)-y_correct(i))<(100*eps)) end

y = 0.4749 y = 0.4749 0.2464 y = 0.4749 0.2464 0.1655 y = 0.4749 0.2464 0.1655 0.1245 y = 0.4749 0.2464 0.1655 0.1245 0.0998

3   Pass
n = 5:5:25; y_correct = [-0.198089886092747 0.099753034660390 -0.066592998672151 0.049968846921953 -0.039984031845239]; answers = pi_approx(n); for i = 1:numel(n) assert(abs(answers(i)-y_correct(i))<(100*eps)) end

y = -0.1981 y = -0.1981 0.0998 y = -0.1981 0.0998 -0.0666 y = -0.1981 0.0998 -0.0666 0.0500 y = -0.1981 0.0998 -0.0666 0.0500 -0.0400

4   Pass
n = 10:10:100; y_correct = [0.099753034660390 0.049968846921953 0.033324086890846 0.024996096795960 0.019998000998782 0.016665509660796 0.014284985608559 0.012499511814072 0.011110768228485 0.009999750031239]; answers = pi_approx(n); for i = 1:numel(n) assert(abs(answers(i)-y_correct(i))<(100*eps)) end

y = 0.0998 y = 0.0998 0.0500 y = 0.0998 0.0500 0.0333 y = 0.0998 0.0500 0.0333 0.0250 y = 0.0998 0.0500 0.0333 0.0250 0.0200 y = 0.0998 0.0500 0.0333 0.0250 0.0200 0.0167 y = 0.0998 0.0500 0.0333 0.0250 0.0200 0.0167 0.0143 y = 0.0998 0.0500 0.0333 0.0250 0.0200 0.0167 0.0143 0.0125 y = 0.0998 0.0500 0.0333 0.0250 0.0200 0.0167 0.0143 0.0125 0.0111 y = 0.0998 0.0500 0.0333 0.0250 0.0200 0.0167 0.0143 0.0125 0.0111 0.0100

Suggested Problems

More from this Author139

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!