Cody

Problem 636. Spherical radius given four points

Solution 1955818

Submitted on 2 Oct 2019 by Duy Nguyen
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Test Suite

Test Status Code Input and Output
1   Pass
pts=[0 3 2;1 -1 1;2 1 0;5 1 3]; % c(2 1 3) r=3 y_correct = 3; assert(isequal(Sphere_radius(pts),y_correct))

D = -2 8 2 -4 4 4 -10 4 -2 Di = 10 8 -22 Dx = 10 8 2 8 4 4 -22 4 -2 R = 2 Dx = -2 10 2 -4 8 4 -10 -22 -2 R = 2.0000 1.0000 Dx = -2 8 10 -4 4 8 -10 4 -22 R = 2.0000 1.0000 3.0000 r = 3

2   Pass
pts=[1 0 0;0 1 0;0 0 1;-1 0 0]; % c(0 0 0) r=1 y_correct = 1; assert(isequal(Sphere_radius(pts),y_correct))

D = 2 -2 0 2 0 -2 4 0 0 Di = 0 0 0 Dx = 0 -2 0 0 0 -2 0 0 0 R = 0 Dx = 2 0 0 2 0 -2 4 0 0 R = 0 0 Dx = 2 -2 0 2 0 0 4 0 0 R = 0 0 0 r = 1

3   Pass
pts=[1 0 -1;0 1 -1;0 0 0;-1 0 -1]; % c(0 0 -1) r=1 y_correct = 1; assert(isequal(Sphere_radius(pts),y_correct))

D = 2 -2 0 2 0 -2 4 0 0 Di = 0 2 0 Dx = 0 -2 0 2 0 -2 0 0 0 R = 0 Dx = 2 0 0 2 2 -2 4 0 0 R = 0 0 Dx = 2 -2 0 2 0 2 4 0 0 R = 0 0 -1 r = 1

4   Pass
pts=[2 0 -2;0 2 -2;0 0 0;-2 0 -2]; % c(0 0 -2) r=2 y_correct = 2; assert(isequal(Sphere_radius(pts),y_correct))

D = 4 -4 0 4 0 -4 8 0 0 Di = 0 8 0 Dx = 0 -4 0 8 0 -4 0 0 0 R = 0 Dx = 4 0 0 4 8 -4 8 0 0 R = 0 0 Dx = 4 -4 0 4 0 8 8 0 0 R = 0 0 -2 r = 2

5   Pass
pts=[-5 -1 -3;1 -1 -3;-2 -4 -3;-2 -1 0]; % c(-2 -1 -3) r=3 y_correct = 3; assert(isequal(Sphere_radius(pts),y_correct))

D = -12 0 0 -6 6 0 -6 0 -6 Di = 24 6 30 Dx = 24 0 0 6 6 0 30 0 -6 R = -2.0000 Dx = -12 24 0 -6 6 0 -6 30 -6 R = -2.0000 -1.0000 Dx = -12 0 24 -6 6 6 -6 0 30 R = -2.0000 -1.0000 -3.0000 r = 3

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