Cody

Problem 42580. Conic equation

Solution 2285164

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 z = 2.5000 method 2 z = 1.6000 method 2 z = 0.9000 method 2 z = 0.4000 method 2 z = 0.1000 method 2 z = 0 method 2 z = 0.1000 method 2 z = 0.4000 method 2 z = 0.9000 method 2 z = 1.6000 method 2 z = 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)))

method 2 z = -2.5000 method 2 z = -1.6000 method 2 z = -0.9000 method 2 z = -0.4000 method 2 z = -0.1000 method 2 z = 0 method 2 z = -0.1000 method 2 z = -0.4000 method 2 z = -0.9000 method 2 z = -1.6000 method 2 z = -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)))

method 1 z = 0 method 1 z = 0.0013 method 1 z = 0.0052 method 1 z = 0.0117 method 1 z = 0.0209 method 1 z = 0.0326 method 1 z = 0.0471 method 1 z = 0.0641 method 1 z = 0.0839 method 1 z = 0.1064 method 1 z = 0.1317 method 1 z = 0.1597 method 1 z = 0.1905 method 1 z = 0.2242 method 1 z = 0.2609 method 1 z = 0.3005 method 1 z = 0.3431

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 z = 0 method 1 z = 0 method 1 z = 0 method 1 z = 0 method 1 z = 0 method 1 z = -9.0949e-13 method 1 z = -7.3669e-11 method 1 z = -7.3533e-09 method 1 z = -7.3529e-07 method 1 z = -7.3529e-05 method 1 z = -0.0074 method 1 z = -0.7353 method 1 z = -73.1361 method 1 z = -5.2930e+03 method 1 z = -9.3431e+04 method 1 z = -9.9322e+05 method 1 z = -9.9932e+06 method 1 z = -9.9993e+07 method 1 z = -9.9999e+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 z = 7.5495e-15 method 1 z = 7.6161e-13 method 1 z = 7.6180e-11 method 1 z = 7.6180e-09 method 1 z = 7.6180e-07 method 1 z = 7.6181e-05 method 1 z = 0.0076 method 1 z = 0.9162

Assertion failed.
6   Pass
t=fileread('conic.m'); assert(isempty(findstr(t,'roots'))) assert(isempty(findstr(t,'fzero')))

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