Cody

# Problem 42580. Conic equation

Solution 2285150

Submitted on 16 May 2020
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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)))

method 2 2.500000e+00method 2 1.600000e+00method 2 9.000000e-01method 2 4.000000e-01method 2 1.000000e-01method 2 0method 2 1.000000e-01method 2 4.000000e-01method 2 9.000000e-01method 2 1.600000e+00method 2 2.500000e+00

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)))

method 2 -2.500000e+00method 2 -1.600000e+00method 2 -9.000000e-01method 2 -4.000000e-01method 2 -1.000000e-01method 2 0method 2 -1.000000e-01method 2 -4.000000e-01method 2 -9.000000e-01method 2 -1.600000e+00method 2 -2.500000e+00

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)))

method 1 0method 1 1.302225e-03method 1 5.210596e-03method 1 1.173022e-02method 1 2.086963e-02method 1 3.264087e-02method 1 4.705955e-02method 1 6.414496e-02method 1 8.392022e-02method 1 1.064124e-01method 1 1.316527e-01method 1 1.596768e-01method 1 1.905250e-01method 1 2.242425e-01method 1 2.608799e-01method 1 3.004934e-01method 1 3.431458e-01

Assertion failed.

4   Fail
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)))

method 1 0method 1 0method 1 0method 1 0method 1 0method 1 -9.094947e-13method 1 -7.366907e-11method 1 -7.353265e-09method 1 -7.352937e-07method 1 -7.352941e-05method 1 -7.352937e-03method 1 -7.352544e-01method 1 -7.313611e+01method 1 -5.292973e+03method 1 -9.343093e+04method 1 -9.932231e+05method 1 -9.993202e+06method 1 -9.999320e+07method 1 -9.999932e+08

Assertion failed.

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)))

method 1 7.549517e-15method 1 7.616130e-13method 1 7.618040e-11method 1 7.618034e-09method 1 7.618035e-07method 1 7.618141e-05method 1 7.628739e-03method 1 9.162098e-01

Assertion failed.

6   Pass