Cody

Problem 44492. Approximate the cosine function

Solution 3782498

Submitted on 22 Nov 2020 by Akrem Hadji
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Test Suite

Test Status Code Input and Output
1   Pass
filetext = fileread('myCos.m'); assert(isempty(strfind(filetext, 'regexp')),'regexp hacks are forbidden')

2   Pass
filetext = fileread('myCos.m'); trigUsed = any(strfind(filetext, 'cos')) || any(strfind(filetext, 'sin')) ||... any(strfind(filetext, 'exp')); assert(~trigUsed, 'Cannot use MATLAB trigonometric functions')

3   Pass
x = 0; assert(abs(myCos(x)-cos(x)) < 0.0001)

n = 18 v = 2 4 6 8 10 12 14 16 18 w = -1 1 -1 1 -1 1 -1 1 -1 o = [] o = 1.0e+15 * 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0001 0.0209 6.4024 m = -0.5000 0.0417 -0.0014 0.0000 -0.0000 0.0000 -0.0000 0.0000 -0.0000 n = 0 0 0 0 0 0 0 0 0 y = 1

4   Pass
x = pi; assert(abs(myCos(x)-cos(x)) < 0.0001)

n = 18 v = 2 4 6 8 10 12 14 16 18 w = -1 1 -1 1 -1 1 -1 1 -1 o = [] o = 1.0e+15 * 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0001 0.0209 6.4024 m = -0.5000 0.0417 -0.0014 0.0000 -0.0000 0.0000 -0.0000 0.0000 -0.0000 n = 1.0e+08 * 0.0000 0.0000 0.0000 0.0001 0.0009 0.0092 0.0912 0.9003 8.8858 y = -1.0000

5   Pass
x = pi/2; assert(abs(myCos(x)-cos(x)) < 0.0001)

n = 18 v = 2 4 6 8 10 12 14 16 18 w = -1 1 -1 1 -1 1 -1 1 -1 o = [] o = 1.0e+15 * 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0001 0.0209 6.4024 m = -0.5000 0.0417 -0.0014 0.0000 -0.0000 0.0000 -0.0000 0.0000 -0.0000 n = 1.0e+03 * 0.0025 0.0061 0.0150 0.0371 0.0915 0.2257 0.5568 1.3738 3.3897 y = -3.3307e-15

6   Pass
x = 5*pi/3; assert(abs(myCos(x)-cos(x)) < 0.0001)

n = 18 v = 2 4 6 8 10 12 14 16 18 w = -1 1 -1 1 -1 1 -1 1 -1 o = [] o = 1.0e+15 * 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0001 0.0209 6.4024 m = -0.5000 0.0417 -0.0014 0.0000 -0.0000 0.0000 -0.0000 0.0000 -0.0000 n = 1.0e+12 * 0.0000 0.0000 0.0000 0.0000 0.0000 0.0004 0.0116 0.3191 8.7493 y = 0.4999

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