Cody

# Problem 415. Sum the Infinite Series

Solution 1817364

Submitted on 16 May 2019 by Jean-Marie Sainthillier
• Size: 16
• This is the leading solution.
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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)

[Warning: Function assert has the same name as a MATLAB builtin. We suggest you rename the function to avoid a potential name conflict.] [> In unix (line 32) In infinite_series (line 2) In ScoringEngineTestPoint1 (line 2) In solutionTest (line 3)]

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)

[Warning: Function assert has the same name as a MATLAB builtin. We suggest you rename the function to avoid a potential name conflict.] [> In unix (line 32) In infinite_series (line 2) In ScoringEngineTestPoint2 (line 2) In solutionTest (line 5)]

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)

[Warning: Function assert has the same name as a MATLAB builtin. We suggest you rename the function to avoid a potential name conflict.] [> In unix (line 32) In infinite_series (line 2) In ScoringEngineTestPoint3 (line 2) In solutionTest (line 7)]

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)

[Warning: Function assert has the same name as a MATLAB builtin. We suggest you rename the function to avoid a potential name conflict.] [> In unix (line 32) In infinite_series (line 2) In ScoringEngineTestPoint4 (line 2) In solutionTest (line 9)]

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)

[Warning: Function assert has the same name as a MATLAB builtin. We suggest you rename the function to avoid a potential name conflict.] [> In unix (line 32) In infinite_series (line 2) In ScoringEngineTestPoint5 (line 2) In solutionTest (line 11)]

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)

[Warning: Function assert has the same name as a MATLAB builtin. We suggest you rename the function to avoid a potential name conflict.] [> In unix (line 32) In infinite_series (line 2) In ScoringEngineTestPoint6 (line 2) In solutionTest (line 13)]

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)

[Warning: Function assert has the same name as a MATLAB builtin. We suggest you rename the function to avoid a potential name conflict.] [> In unix (line 32) In infinite_series (line 2) In ScoringEngineTestPoint7 (line 2) In solutionTest (line 15)]

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)

[Warning: Function assert has the same name as a MATLAB builtin. We suggest you rename the function to avoid a potential name conflict.] [> In unix (line 32) In infinite_series (line 2) In ScoringEngineTestPoint8 (line 2) In solutionTest (line 17)]