08-Oct-2025 23:19:45 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 = 0.938634 c1 = (12.1598,-8.27875) X: X = 12.1657 -9.2174 12.2488 -7.3443 12.2701 -7.3466 11.9569 -9.1952 11.6220 -9.0481 12.9744 -8.7451 11.8559 -7.3907 11.2860 -8.6216 11.4154 -8.8505 12.9825 -8.7307 r2 = 0.938634 c2 = (12.1598,-8.27875) Xb: Xb = 11.2860 -8.6216 11.4154 -8.8505 11.6220 -9.0481 11.9569 -9.1952 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 = 3.1614e-01 2.7025e-01 6.2104e-01 5.2833e-01 -6.6394e-01 -2.3303e+00 2.9554e-01 -5.4516e-01 6.2400e-01 -5.5769e-01 -5.5649e-01 -5.0790e-01 2.6424e-01 1.5158e+00 -3.6435e-01 1.8456e-01 -5.8914e-01 -1.1702e+00 2.2695e-01 1.2064e-02 -4.9970e-01 1.0307e+00 1.5218e+00 8.9997e-01 7.7010e-02 2.2351e+00 7.8656e-01 -7.7646e-01 -8.8544e-01 2.1350e+00 -3.3755e-01 -1.3934e+00 -1.9639e+00 1.4053e+00 3.6961e-01 -3.5256e-01 1.0656e+00 -4.2818e-01 -7.7544e-01 -6.0183e-01 -7.2161e-01 5.0949e-01 -2.3661e-01 1.1964e+00 1.1806e+00 -5.8928e-01 -1.6543e+00 1.1004e-01 7.5947e-01 2.8171e-01 1.2631e+00 1.3082e+00 8.8519e-01 -3.0558e-01 -4.0550e-02 2.1191e+00 1.4411e-01 3.3758e-01 -1.5873e+00 -3.8976e-01 -2.0532e+00 4.3807e-02 -5.6714e-01 9.0244e-01 -4.0800e-01 -1.3696e+00 2.2508e-01 -1.1852e+00 2.7997e-01 1.7642e+00 -2.2005e-01 -7.1771e-01 -1.1107e-01 -2.1504e-03 -1.4125e-01 -7.2716e-01 -7.1592e-01 -6.5534e-01 2.7058e-01 -1.5116e+00 1.1463e+00 -1.9312e-01 6.4031e-02 8.2868e-02 1.6992e-01 4.4978e-01 8.4434e-01 -1.1858e+00 -2.1290e-01 -7.7786e-01 -1.8392e+00 -3.5438e-01 9.1779e-01 6.4672e-01 -1.5177e-01 6.0012e-01 1.1237e+00 2.2690e-01 -7.4691e-01 -6.1476e-01 3.2490e-01 1.0014e+00 -4.1159e-02 1.1436e+00 -1.8934e+00 -7.7011e-01 -6.6791e-01 3.5059e-01 7.9379e-01 1.0357e+00 1.8087e-01 4.8404e-01 -3.3748e-01 6.6573e-01 3.2256e-01 -1.0207e+00 -1.7611e+00 1.1236e+00 4.3163e-01 3.0553e-02 2.8048e-01 -1.3415e+00 1.7720e+00 1.6268e-01 -1.6041e+00 -6.0710e-01 -8.7561e-01 7.6351e-01 -7.8182e-01 5.9794e-01 -8.0523e-01 6.6939e-01 1.3331e+00 8.3668e-01 2.5880e-03 1.1461e+00 1.4821e+00 -1.0161e+00 -7.1126e-01 -6.8569e-01 8.1265e-01 1.6970e+00 1.0803e+00 1.0400e+00 1.5039e+00 -1.3212e-01 2.0010e-01 -1.6654e+00 -1.3099e+00 -1.1530e+00 1.6668e+00 -2.1318e+00 -1.1943e-01 9.3820e-01 6.5564e-01 -1.3683e+00 -1.2838e+00 7.6033e-01 -9.4003e-01 -1.4841e+00 -1.0064e+00 2.1561e+00 -5.8144e-01 -7.8028e-01 -1.4597e+00 1.8401e-01 2.2537e-01 -9.2683e-01 8.7419e-01 9.3127e-01 -1.9016e+00 3.3004e+00 -6.3172e-01 8.9337e-01 2.0620e+00 -6.0195e-01 -6.4940e-01 5.6658e-01 -1.2809e+00 -1.1188e+00 -1.5372e+00 7.0388e-01 1.7651e-01 2.7158e-01 4.1704e-01 4.1149e-01 7.9417e-01 1.6005e+00 -4.2929e-01 8.3408e-01 -7.3347e-01 3.4429e-01 4.3838e-01 1.6871e-01 8.3709e-01 -9.4408e-01 1.9347e+00 -1.1766e+00 -1.4110e+00 -5.2518e-02 -6.8463e-01 -1.9273e+00 -3.7569e-01 -1.7812e+00 -1.8283e+00 2.8659e-01 -5.1765e-01 -6.7153e-01 -8.5455e-01 3.9529e-01 -8.4717e-01 -1.2299e+00 9.4889e-01 -7.0322e-01 -3.6417e-01 3.9173e-01 -3.6984e-01 6.8815e-01 -1.3007e-01 -5.2406e-01 -1.6563e+00 1.1550e+00 6.5111e-01 -5.7067e-01 4.5477e-01 2.0962e-01 -8.1613e-01 -4.1600e-01 1.3035e+00 -5.0734e-01 -7.9430e-01 7.1252e-01 4.0865e-01 -6.4180e-01 -1.9591e-01 -6.4260e-02 1.0474e+00 -4.0795e-01 6.4815e-01 -1.0781e-02 4.2384e-01 -4.6998e-01 1.7991e+00 -4.6136e-02 -1.8678e-02 -5.0964e-01 -1.4216e+00 -4.6564e-01 -2.6170e-01 4.1137e-01 -2.1876e-01 -4.8466e-01 1.0385e+00 7.5257e-02 2.6531e-01 -2.9822e+00 1.0203e-01 3.3582e-01 -5.6141e-01 2.0716e+00 5.3133e-01 -3.7681e-01 -4.5745e-01 3.4243e-02 6.1259e-01 7.5015e-01 -3.2388e-01 -6.7524e-02 -5.6955e-01 2.0291e-01 7.4254e-01 -1.8595e+00 -6.0547e-01 -2.2511e-01 9.2558e-01 1.7529e+00 -4.5195e-01 3.3602e-01 -2.3002e-01 -9.8173e-01 1.9368e-01 -7.8370e-02 -1.6946e+00 -1.3304e+00 8.3670e-01 -1.0107e+00 5.2510e-01 -6.4501e-02 -3.6558e-01 -1.2725e+00 -4.7363e-01 1.6112e-01 6.4939e-01 9.9323e-01 -4.9094e-01 5.2702e-02 1.1227e+00 6.4181e-01 6.5998e-01 3.4276e-01 1.9540e+00 -8.0530e-01 1.4454e-01 -5.6775e-01 9.3357e-01 7.6724e-01 4.8758e-01 -3.4747e-01 -2.6831e-01 2.4319e+00 7.4028e-01 6.7018e-01 -1.5731e+00 5.7400e-01 -8.7086e-01 -1.2747e+00 1.4071e+00 8.0104e-01 -2.9737e-01 -7.0048e-01 8.2279e-01 -1.5833e+00 1.6875e-02 5.1051e-01 -1.5637e+00 3.6206e-01 1.5244e+00 9.8072e-01 -6.4009e-01 -1.3645e-01 -8.4511e-02 -7.9241e-01 -1.7391e-01 -2.2576e-01 3.7681e-01 7.6492e-02 -7.1351e-01 8.7117e-01 2.1929e+00 2.3650e-01 2.9748e-01 -1.8649e+00 -1.4173e+00 1.3001e+00 -6.2999e-01 7.0517e-01 1.2085e+00 -1.6067e+00 9.4168e-01 -2.8640e-01 -2.2724e-01 1.2816e+00 -1.6147e-01 -3.5943e-01 -4.3491e-01 -8.9260e-01 6.0955e-01 -4.1688e-01 2.3227e-01 -8.5993e-01 1.2471e+00 5.0912e-01 6.1971e-01 -2.8691e-01 5.2622e-01 -6.2561e-01 -4.1132e-01 2.6033e+00 -2.0311e+00 -5.9373e-01 1.1077e+00 -2.5107e+00 -1.0322e+00 -8.3465e-01 -1.9346e+00 1.1806e+00 -4.1786e-01 -5.1027e-01 -9.1512e-01 5.9937e-01 -1.1200e+00 -1.4776e+00 5.7897e-01 7.1218e-01 2.5175e-01 -7.0358e-01 1.7064e+00 -1.2527e-01 2.8270e+00 2.7120e-01 1.6220e+00 1.4161e+00 -1.2018e+00 -2.6384e-01 -8.1402e-01 -4.5450e-01 -8.5580e-02 -5.2537e-01 -5.7839e-02 3.8855e-01 Graphics saved as "visualize_bound_circle.png" visualize_bound_circle(): Normal end of execution. welzl_test(): Normal end of execution. 08-Oct-2025 23:19:46