Cody

Problem 2908. Approximation of Pi

Solution 2048264

Submitted on 5 Dec 2019 by Jakub Suchý
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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))

pim = 1 m = 0 a = -1 pim = 4 y = -0.8584

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

pim = 1 m = 1 a = -1 pim = 0.6667 a = 1 pim = 2.6667 y = 0.4749

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

pim = 1 m = 3 a = -1 pim = 0.6667 a = 1 pim = 0.8667 a = -1 pim = 0.7238 a = 1 pim = 2.8952 y = 0.2464

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

pim = 1 m = 6 a = -1 pim = 0.6667 a = 1 pim = 0.8667 a = -1 pim = 0.7238 a = 1 pim = 0.8349 a = -1 pim = 0.7440 a = 1 pim = 0.8209 a = -1 pim = 3.2837 y = -0.1421

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

pim = 1 m = 9 a = -1 pim = 0.6667 a = 1 pim = 0.8667 a = -1 pim = 0.7238 a = 1 pim = 0.8349 a = -1 pim = 0.7440 a = 1 pim = 0.8209 a = -1 pim = 0.7543 a = 1 pim = 0.8131 a = -1 pim = 0.7605 a = 1 pim = 3.0418 y = 0.0998

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

pim = 1 m = 13 a = -1 pim = 0.6667 a = 1 pim = 0.8667 a = -1 pim = 0.7238 a = 1 pim = 0.8349 a = -1 pim = 0.7440 a = 1 pim = 0.8209 a = -1 pim = 0.7543 a = 1 pim = 0.8131 a = -1 pim = 0.7605 a = 1 pim = 0.8081 a = -1 pim = 0.7646 a = 1 pim = 0.8046 a = -1 pim = 0.7676 a = 1 pim = 3.0703 y = 0.0713

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

pim = 1 m = 16 a = -1 pim = 0.6667 a = 1 pim = 0.8667 a = -1 pim = 0.7238 a = 1 pim = 0.8349 a = -1 pim = 0.7440 a = 1 pim = 0.8209 a = -1 pim = 0.7543 a = 1 pim = 0.8131 a = -1 pim = 0.7605 a = 1 pim = 0.8081 a = -1 pim = 0.7646 a = 1 pim = 0.8046 a = -1 pim = 0.7676 a = 1 pim = 0.8020 a = -1 pim = 0.7698 a = 1 pim = 0.8001 a = -1 pim = 3.2004 y = -0.0588

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

pim = 1 m = 19 a = -1 pim = 0.6667 a = 1 pim = 0.8667 a = -1 pim = 0.7238 a = 1 pim = 0.8349 a = -1 pim = 0.7440 a = 1 pim = 0.8209 a = -1 pim = 0.7543 a = 1 pim = 0.8131 a = -1 pim = 0.7605 a = 1 pim = 0.8081 a = -1 pim = 0.7646 a = 1 pim = 0.8046 a = -1 pim = 0.7676 a = 1 pim = 0.8020 a = -1 pim = 0.7698 a = 1 pim = 0.8001 a = -1 pim = 0.7715 a = 1 pim = 0.7985 a = -1 pim = 0.7729 a = 1 pim = 3.0916 y = 0.0500

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

pim = 1 m = 24 a = -1 pim = 0.6667 a = 1 pim = 0.8667 a = -1 pim = 0.7238 a = 1 pim = 0.8349 a = -1 pim = 0.7440 a = 1 pim = 0.8209 a = -1 pim = 0.7543 a = 1 pim = 0.8131 a = -1 pim = 0.7605 a = 1 pim = 0.8081 a = -1 pim = 0.7646 a = 1 pim = 0.8046 a = -1 pim = 0.7676 a = 1 pim = 0.8020 a = -1 pim = 0.7698 a = 1 pim = 0.8001 a = -1 pim = 0.7715 a = 1 pim = 0.7985 a = -1 pim = 0.7729 a = 1 pim = 0.7973 a = -1 pim = 0.7740 a = 1 pim = 0.7963 a = -1 pim = 0.7750 a = 1 pim = 0.7954 a = -1 pim = 3.1816 y = -0.0400