Cody

# Problem 2908. Approximation of Pi

Solution 1964357

Submitted on 7 Oct 2019 by Luu Van Duc
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### Test Suite

Test Status Code Input and Output
1   Pass
n = 1; y_correct = -0.858407346410207; assert(abs(pi_approx(n)-y_correct)<(100*eps))

h = 1 y = -0.8584

2   Pass
n = 2; y_correct = 0.474925986923126; assert(abs(pi_approx(n)-y_correct)<(100*eps))

h = 1 h = 0.6667 y = 0.4749

3   Pass
n = 4; y_correct = 0.246354558351698; assert(abs(pi_approx(n)-y_correct)<(100*eps))

h = 1 h = 0.6667 h = 0.8667 h = 0.7238 y = 0.2464

4   Pass
n = 7; y_correct = -0.142145830148691; assert(abs(pi_approx(n)-y_correct)<(100*eps))

h = 1 h = 0.6667 h = 0.8667 h = 0.7238 h = 0.8349 h = 0.7440 h = 0.8209 y = -0.1421

5   Pass
n = 10; y_correct = 0.099753034660390; assert(abs(pi_approx(n)-y_correct)<(100*eps))

h = 1 h = 0.6667 h = 0.8667 h = 0.7238 h = 0.8349 h = 0.7440 h = 0.8209 h = 0.7543 h = 0.8131 h = 0.7605 y = 0.0998

6   Pass
n = 14; y_correct = 0.071338035810608; assert(abs(pi_approx(n)-y_correct)<(100*eps))

h = 1 h = 0.6667 h = 0.8667 h = 0.7238 h = 0.8349 h = 0.7440 h = 0.8209 h = 0.7543 h = 0.8131 h = 0.7605 h = 0.8081 h = 0.7646 h = 0.8046 h = 0.7676 y = 0.0713

7   Pass
n = 17; y_correct = -0.058772861819756; assert(abs(pi_approx(n)-y_correct)<(100*eps))

h = 1 h = 0.6667 h = 0.8667 h = 0.7238 h = 0.8349 h = 0.7440 h = 0.8209 h = 0.7543 h = 0.8131 h = 0.7605 h = 0.8081 h = 0.7646 h = 0.8046 h = 0.7676 h = 0.8020 h = 0.7698 h = 0.8001 y = -0.0588

8   Pass
n = 20; y_correct = 0.049968846921953; assert(abs(pi_approx(n)-y_correct)<(100*eps))

h = 1 h = 0.6667 h = 0.8667 h = 0.7238 h = 0.8349 h = 0.7440 h = 0.8209 h = 0.7543 h = 0.8131 h = 0.7605 h = 0.8081 h = 0.7646 h = 0.8046 h = 0.7676 h = 0.8020 h = 0.7698 h = 0.8001 h = 0.7715 h = 0.7985 h = 0.7729 y = 0.0500

9   Pass
n = 25; y_correct = -0.039984031845239; assert(abs(pi_approx(n)-y_correct)<(100*eps))

h = 1 h = 0.6667 h = 0.8667 h = 0.7238 h = 0.8349 h = 0.7440 h = 0.8209 h = 0.7543 h = 0.8131 h = 0.7605 h = 0.8081 h = 0.7646 h = 0.8046 h = 0.7676 h = 0.8020 h = 0.7698 h = 0.8001 h = 0.7715 h = 0.7985 h = 0.7729 h = 0.7973 h = 0.7740 h = 0.7963 h = 0.7750 h = 0.7954 y = -0.0400