Cody

Problem 415. Sum the Infinite Series

Solution 177876

Submitted on 15 Dec 2012 by Richard Zapor
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Test Suite

Test Status Code Input and Output
1   Pass
%% x = 1; [c,s] = infinite_series(x); c_correct = -0.3800580037051224; s_correct = 0.3845865774434312; assert(abs(c-c_correct)<50*eps & abs(s-s_correct)<50*eps)

2   Pass
%% x = exp(1); [c,s] = infinite_series(x); c_correct = 0.2832904461013926; s_correct = -0.2693088098978689; assert(abs(c-c_correct)<50*eps & abs(s-s_correct)<50*eps)

3   Pass
%% x = sqrt(3); [c,s] = infinite_series(x); c_correct = -0.3675627321761342; s_correct = -0.2464611942058812; assert(abs(c-c_correct)<50*eps & abs(s-s_correct)<50*eps)

4   Pass
%% x = 0.001; [c,s] = infinite_series(x); c_correct = 0.9984257500575904; s_correct = 0.0079069688545917; assert(abs(c-c_correct)<50*eps & abs(s-s_correct)<50*eps)

5   Pass
%% x = pi/4; [c,s] = infinite_series(x); c_correct = -0.2042534159513846; s_correct = 0.5511304391316155; assert(abs(c-c_correct)<50*eps & abs(s-s_correct)<50*eps)

6   Pass
%% x = 0.0263; [c,s] = infinite_series(x); c_correct = 0.9574346130196565; s_correct = 0.1214323234202421; assert(abs(c-c_correct)<50*eps & abs(s-s_correct)<50*eps)

7   Pass
%% x = 6.273; [c,s] = infinite_series(x); c_correct = 0.9837633160098646; s_correct = -0.0568212139709541; assert(abs(c-c_correct)<50*eps & abs(s-s_correct)<50*eps)

8   Pass
%% x = 31/7; [c,s] = infinite_series(x); c_correct = -0.2961416175321223; s_correct = 0.3148962998550185; assert(abs(c-c_correct)<50*eps & abs(s-s_correct)<50*eps)

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