16-May-2025 11:28:52 welzl_test(): MATLAB/Octave version 6.4.0 welzl() computes bounding circles and spheres. exact_min_bound_circle_test(): MATLAB/Octave version 6.4.0 exact_min_bound_circle() computes the exact minimal bounding circle of a set of points. Graphics saved as "exact_min_bound_circle_test.png" r1 = 4.8634 c1 = (0.16818,1.29905) X: X = 4.3108 -1.2487 2.8015 -2.7897 4.2768 -1.3033 -2.8112 -2.5449 -2.8266 5.1310 1.2525 -3.4419 -4.6705 1.7884 4.0034 4.2897 -4.6232 0.4653 3.5044 -2.2397 r2 = 4.8634 c2 = (0.16818,1.29905) Xb: Xb = 3.5044 -2.2397 4.0034 4.2897 4.2768 -1.3033 4.3108 -1.2487 exact_min_bound_circle(): Normal end of execution. visualize_bound_circle_test(): MATLAB/Octave version 6.4.0 visualize_bound_circle() displays the exact minimal bounding circle of a set of points. X = 7.4493e-01 -1.6155e+00 -3.7976e-01 -6.2502e-01 1.8253e-01 7.7404e-01 7.8113e-01 -1.5529e+00 1.3163e-01 -1.6698e+00 -9.4606e-01 4.9612e-01 7.8827e-01 9.3255e-01 -7.3584e-01 2.3393e-02 -2.7846e-01 4.2094e-01 -3.2532e-02 3.3440e-01 2.8032e-01 -1.5611e-01 -1.2380e+00 -5.4514e-01 1.9160e+00 5.8618e-01 9.6155e-01 -4.7896e-01 4.6952e-01 -7.9468e-01 -1.7812e+00 1.5474e+00 4.4053e-01 6.3261e-01 6.3960e-01 -1.2198e+00 8.2909e-02 2.1205e-01 4.9905e-01 1.0294e+00 -2.9649e-01 -1.0429e+00 6.0593e-01 8.2257e-01 1.1489e+00 -2.1563e-01 1.2346e+00 -7.1916e-01 -1.1611e+00 -5.1130e-01 8.5314e-01 9.4772e-01 7.1966e-01 -1.2730e+00 6.0587e-01 -1.3001e+00 2.2386e+00 2.3667e+00 -2.1903e-01 -4.8079e-01 -4.0922e-01 1.4005e+00 -2.0169e+00 -3.5682e-02 -2.8616e-01 2.1452e-02 1.2000e-01 1.9612e+00 -8.7002e-01 1.4473e+00 1.4603e+00 -1.8279e-01 -1.0203e+00 -2.3278e+00 4.9787e-01 -1.6439e+00 7.0050e-01 6.1651e-01 3.8356e-02 -1.5810e+00 -8.4612e-02 1.8690e-01 1.0432e+00 9.4297e-01 2.0480e+00 1.2894e+00 -1.1578e+00 -3.0922e-01 1.7005e-01 1.2075e+00 -7.3377e-01 -2.2581e+00 -1.8681e+00 -5.8146e-01 2.8846e-02 4.0381e-01 -7.9167e-01 2.4938e-01 -1.9117e+00 1.6053e+00 -5.2192e-01 5.5361e-01 -8.5682e-01 4.1839e-01 3.8953e-01 1.0725e+00 3.6462e-01 -1.8911e-01 6.2895e-01 9.0770e-01 -7.7424e-01 1.9912e-01 -1.9811e+00 -7.8661e-01 -7.5126e-01 2.7741e-01 -1.6789e+00 -3.2267e-01 -1.4836e-02 1.0462e+00 3.2896e-01 3.3002e+00 -4.4163e-02 1.0673e+00 4.2018e-01 -1.9915e-01 -1.1752e+00 9.6426e-02 1.9654e+00 -7.8953e-01 -2.1347e-01 -1.0604e+00 4.4690e-02 -4.9433e-01 1.4061e+00 1.3861e+00 1.5437e-01 8.7554e-01 -3.9797e-01 2.6100e+00 -7.7754e-01 8.7611e-01 5.3613e-01 1.4895e-01 -1.4428e+00 -6.9249e-02 -1.5095e+00 7.1623e-01 -1.1888e+00 1.6694e+00 -1.0790e+00 -1.6281e+00 2.8377e-01 1.0366e+00 -5.4571e-01 -1.7885e+00 9.9413e-01 2.2485e-01 -3.1758e-01 5.0024e-01 -2.0053e+00 1.6824e-01 1.5443e+00 1.0312e+00 -2.6716e-01 -6.2064e-02 7.8148e-01 1.2700e+00 -2.9523e+00 -4.1232e-01 2.6316e+00 -3.7658e-01 -3.1193e-01 -5.9650e-01 -4.7022e-01 1.5751e+00 3.5032e-01 -1.4315e-01 -1.4416e+00 -3.3553e-01 -6.5264e-01 3.0729e-01 -1.3876e-01 -3.4951e-01 1.7895e+00 8.5339e-01 1.7070e+00 4.6104e-01 -4.5380e-01 1.3505e-01 8.2878e-01 -1.1700e+00 5.0640e-01 3.1494e-01 3.1666e-01 6.7416e-01 -1.7204e+00 -7.4702e-01 9.1190e-01 -1.0778e+00 -1.1305e-02 -1.4688e+00 -1.4374e-01 4.7647e-01 -6.1234e-01 -8.9304e-01 -1.9780e-01 -7.1209e-01 -1.1746e+00 1.2135e-01 -2.6194e+00 2.8158e-01 -6.3852e-01 -4.6693e-01 3.6786e-01 -1.1226e+00 -1.3237e+00 -1.7892e+00 -2.7197e+00 -4.3837e-01 -2.5597e-01 1.8533e+00 2.4012e-01 9.0636e-01 6.6675e-01 -1.1630e-01 7.0418e-02 -4.1149e-01 -1.2673e+00 -1.3531e+00 1.4399e-02 7.4048e-01 4.4648e-01 -1.4918e+00 3.4085e-01 6.3311e-02 -4.9070e-01 -5.8078e-01 4.9994e-01 -6.2730e-01 -2.2996e+00 1.1717e-01 -9.8805e-02 -1.3885e-01 1.0625e+00 4.3666e-01 3.0240e-01 7.8234e-01 1.0830e-01 -7.0911e-02 2.4550e-01 -1.5104e-01 1.4769e+00 6.7827e-01 -1.2229e+00 3.2825e+00 2.3315e-01 -1.1060e+00 -1.0501e+00 3.7382e-01 -1.4118e+00 -5.6204e-01 9.9755e-01 -1.5570e+00 -1.3625e+00 -1.1537e-01 -3.6985e-01 -3.0973e-01 5.1150e-01 -1.0975e+00 7.6068e-01 3.0896e-01 2.3751e-01 2.3263e+00 -1.2738e+00 -7.0161e-01 -1.4417e+00 2.4300e+00 -2.8567e-01 5.8616e-01 1.4104e+00 -9.7762e-01 -5.4688e-01 3.8816e-01 -9.2326e-03 4.5611e-01 2.0198e+00 -3.6368e-01 1.6458e+00 8.5528e-01 6.7767e-01 -5.4229e-01 -4.2052e-01 1.0610e+00 -7.8415e-01 -1.9713e+00 1.1117e+00 1.0384e+00 -5.7232e-02 2.4789e-01 -1.2566e+00 -7.1916e-01 -1.2092e+00 -1.3679e+00 -2.9477e-01 7.6644e-01 -1.2965e+00 -1.5368e+00 -1.1455e+00 -1.7751e+00 -5.0781e-01 -1.0124e+00 6.7327e-02 1.1660e+00 2.3324e-01 -3.7939e-01 3.1389e-01 5.5135e-02 4.9384e-01 9.4781e-01 -1.0516e+00 1.4168e+00 -5.6788e-01 -4.5844e-01 3.2674e-01 -8.5248e-01 -4.8907e-01 -1.5643e+00 1.1805e+00 1.0313e+00 -5.0521e-01 -6.2913e-01 3.5417e-02 -1.3178e+00 -7.8430e-01 -1.6115e+00 -1.3874e+00 3.2286e-01 4.5965e-01 -4.2626e-01 -9.5410e-01 5.4878e-01 7.7894e-01 1.3880e-01 5.7474e-01 1.2175e+00 -5.7656e-01 -9.8227e-01 8.7870e-01 9.8175e-01 -1.2672e-01 -1.4308e+00 1.6319e-02 -1.9977e+00 -6.0018e-01 9.0793e-01 -1.1494e+00 7.6539e-01 5.7851e-01 -5.3964e-01 1.7849e-01 1.1406e-01 1.0072e-02 -1.8423e-01 -3.9864e-01 -8.1690e-01 2.4856e+00 3.1387e-01 7.4901e-01 4.2666e-01 -1.0041e+00 -8.0774e-01 1.1696e+00 1.0077e+00 1.4839e+00 -1.0678e+00 6.2765e-01 6.8098e-01 5.1663e-01 3.7060e-01 -1.0730e+00 -1.2691e+00 -1.2180e+00 -4.3793e-01 4.2214e-01 6.5040e-01 1.5848e+00 -3.7282e-02 2.4282e-01 -2.0487e-01 2.0888e+00 5.3904e-01 5.1590e-01 -3.5474e+00 6.4074e-01 5.2720e-01 -3.6426e-03 -5.9001e-01 4.9382e-01 6.7512e-01 Graphics saved as "visualize_bound_circle.png" visualize_bound_circle(): Normal end of execution. welzl_test(): Normal end of execution. 16-May-2025 11:28:53