Cody

# Problem 42580. Conic equation

Solution 724825

Submitted on 28 Aug 2015
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### Test Suite

Test Status Code Input and Output
1   Pass
%% R=5; k=-1; s=-5:5; z=[25 16 9 4 1 0 1 4 9 16 25]/10; t=arrayfun(@(x)conic(x,R,k),s); assert(all(abs(t-z)<=4*eps*abs(z)))

ans = 2.5000 ans = 1.6000 ans = 0.9000 ans = 0.4000 ans = 0.1000 ans = 0 ans = 0.1000 ans = 0.4000 ans = 0.9000 ans = 1.6000 ans = 2.5000

2   Pass
%% R=-5; k=-1; s=-5:5; z=-[25 16 9 4 1 0 1 4 9 16 25]/10; t=arrayfun(@(x)conic(x,R,k),s); assert(all(abs(t-z)<=4*eps*abs(z)))

ans = -2.5000 ans = -1.6000 ans = -0.9000 ans = -0.4000 ans = -0.1000 ans = 0 ans = -0.1000 ans = -0.4000 ans = -0.9000 ans = -1.6000 ans = -2.5000

3   Fail
%% R=6; k=0; s=0:0.125:2; z=[0 0.001302224649086391 0.005210595859100573 ... 0.01173021649825800 0.02086962844930099 ... 0.03264086885999461 0.04705955010467117 ... 0.06414496470811713 0.08392021690038396 ... 0.1064123829368584 0.1316527028472488 ... 0.1596768068881667 0.1905249806888747 ... 0.2242424739260392 0.2608798583755018 ... 0.3004934424110011 0.3431457505076198]; t=arrayfun(@(x)conic(x,R,k),s); assert(all(abs(t-z)<=4*eps*abs(z)))

ans = 12 ans = 11.9987 ans = 11.9948 ans = 11.9883 ans = 11.9791 ans = 11.9674 ans = 11.9529 ans = 11.9359 ans = 11.9161 ans = 11.8936 ans = 11.8683 ans = 11.8403 ans = 11.8095 ans = 11.7758 ans = 11.7391 ans = 11.6995 ans = 11.6569

Assertion failed.

4   Pass
%% R=6800; k=-2; s=10.^(-9:9); z=[7.352941176470588e-23 7.352941176470588e-21 ... 7.352941176470588e-19 7.352941176470588e-17 ... 7.352941176470588e-15 7.352941176470588e-13 ... 7.352941176470548e-11 7.352941176466613e-9 ... 7.352941176073046e-7 0.00007352941136716365 ... 0.007352937201052538 0.7352543677216725 ... 73.13611097583313 5292.973166264779 93430.93334894173 ... 993223.1197327390 9.993202311999733e6 9.99932002312e7 ... 9.9999320002312e8]; t=arrayfun(@(x)conic(x,R,k),s); assert(all(abs(t-z)<=4*eps*abs(z)))

ans = 7.3529e-23 ans = 7.3529e-21 ans = 7.3529e-19 ans = 7.3529e-17 ans = 7.3529e-15 ans = 7.3529e-13 ans = 7.3529e-11 ans = 7.3529e-09 ans = 7.3529e-07 ans = 7.3529e-05 ans = 0.0074 ans = 0.7353 ans = 73.1361 ans = 5.2930e+03 ans = 9.3431e+04 ans = 9.9322e+05 ans = 9.9932e+06 ans = 9.9993e+07 ans = 9.9999e+08

5   Fail
%% R=exp(1); k=pi; s=10.^(-7:0); z=[1.839397205857214e-15 1.839397205857469e-13 ... 1.839397205882986e-11 1.839397208434684e-09 ... 1.839397463604480e-07 0.00001839422981299153 ... 0.001841981926630790 0.2212216213343403]; t=arrayfun(@(x)conic(x,R,k),s); assert(all(abs(t-z)<=4*eps*abs(z)))

ans = 1.3127 ans = 1.3127 ans = 1.3127 ans = 1.3127 ans = 1.3127 ans = 1.3127 ans = 1.3108 ans = 1.0915

Assertion failed.

6   Fail