Created
November 6, 2018 09:49
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| struct Pt { | |
| double d, angle; | |
| }; | |
| // Polar coordinates of the points (-2, 1) and (5, 1) respectively. | |
| std::vector<Pt> points = { { 2.2360679774997898, 2.6779450445889870 }, { 5.0990195135927845, 0.19739555984988075 } }; | |
| double a, r = 0; | |
| double n = points.size(); | |
| double sumOfWeights = n; | |
| double num1 = 0, num2 = 0, den1 = 0, den2 = 0; | |
| for (int i = 0; i < n; i++) { | |
| double iP = points[i].d, iTheta = points[i].angle; | |
| num1 += iP * iP * sin(2 * iTheta); | |
| den1 += iP * iP * cos(2 * iTheta); | |
| for (int j = 0; j < n; j++) { | |
| double jP = points[j].d, jTheta = points[j].angle; | |
| num2 += iP * jP * cos(iTheta) * sin(jTheta); | |
| den2 += iP * jP * cos(iTheta + jTheta); | |
| } | |
| } | |
| a = 0.5 * atan2((num1 - (2.0 / sumOfWeights) * num2), (den1 - (1.0 / sumOfWeights) * den2)); | |
| for (int i = 0; i < n; i++) r += points[i].d * cos(points[i].angle - a); | |
| r /= sumOfWeights; |
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