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Mar 23rd, 2019
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C++ 0.80 KB | None | 0 0
  1. typedef double T;
  2. struct triple {
  3. int i, j, k;
  4. triple() {}
  5. triple(int i, int j, int k) : i(i), j(j), k(k) {}
  6. };
  7. vector<triple> delaunayTriangulation(vector<T>& x, vector<T>& y) {
  8. int n = x.size();
  9. vector<T> z(n);
  10. vector<triple> ret;
  11. for (int i = 0; i < n; i++)
  12. z[i] = x[i] * x[i] + y[i] * y[i];
  13. for (int i = 0; i < n-2; i++) {
  14. for (int j = i+1; j < n; j++) {
  15. for (int k = i+1; k < n; k++) {
  16. if (j == k) continue;
  17. double xn = (y[j]-y[i])*(z[k]-z[i]) - (y[k]-y[i])*(z[j]-z[i]);
  18. double yn = (x[k]-x[i])*(z[j]-z[i]) - (x[j]-x[i])*(z[k]-z[i]);
  19. double zn = (x[j]-x[i])*(y[k]-y[i]) - (x[k]-x[i])*(y[j]-y[i]);
  20. bool flag = zn < 0;
  21. for (int m = 0; flag && m < n; m++)
  22. flag = flag && ((x[m]-x[i])*xn +
  23. (y[m]-y[i])*yn +
  24. (z[m]-z[i])*zn <= 0);
  25. if (flag) ret.push_back(triple(i, j, k));
  26. }
  27. }
  28. }
  29. return ret;
  30. }
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