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Oblig4.java 2.8KB

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  1. abstract class Oblig4 {
  2. // Required for TegnUt
  3. int x[];
  4. int y[];
  5. int n;
  6. int MAX_X;
  7. int MAX_Y;
  8. IntList coHull;
  9. NPunkter17 points;
  10. String name = "Oblig4";
  11. Oblig4(NPunkter17 points) {
  12. this.points = points;
  13. n = points.n;
  14. x = new int[n];
  15. y = new int[n];
  16. coHull = new IntList();
  17. }
  18. // Fill x and y arrays
  19. void fill() {
  20. points.fyllArrayer(x, y);
  21. }
  22. // This method should be overwritten by each implementation.
  23. // It's responsible for filling in MAX_X, MAX_Y, and coHull
  24. abstract void solve();
  25. /*
  26. * The rest is utility methods which any implementation will use.
  27. */
  28. // Draw points using TegnUt.
  29. // Requires x, y, n, MAX_X, MAX_Y, and coHull
  30. // to be filled out.
  31. void draw() {
  32. TegnUt t = new TegnUt(this, coHull, name);
  33. t.setVisible(true);
  34. }
  35. // a, b, and c will be used in the line equation.
  36. // It doesn't make sense to recalculate them all the time,
  37. // as they only depend on p1 and p2.
  38. int lineA(int p1, int p2) {
  39. return y[p1] - y[p2];
  40. }
  41. int lineB(int p1, int p2) {
  42. return x[p2] - x[p1];
  43. }
  44. int lineC(int p1, int p2) {
  45. return (y[p2] * x[p1]) - (y[p1] * x[p2]);
  46. }
  47. // From p1 to p2.
  48. // == 0: p3 is on the line.
  49. // > 0: p3 is left of the line.
  50. // < 0: p3 is right of the line.
  51. double lineEquation(int a, int b, int c, int p3) {
  52. return (a * x[p3]) + (b * y[p3]) + c;
  53. }
  54. // Distance between two points
  55. double pointDist(int p1, int p2) {
  56. int x1 = x[p1], y1 = y[p1];
  57. int x2 = x[p2], y2 = y[p2];
  58. int dx = x2 - x1;
  59. int dy = y2 - y1;
  60. return Math.abs(Math.sqrt((dx * dx) + (dy * dy)));
  61. }
  62. // Distance between the line and p3
  63. double dist(double l, int a, int b) {
  64. return l / Math.sqrt((a * a) + (b * b));
  65. }
  66. // Create a list of points, in sorted order, on the line
  67. // given by (a, b, c, p1)
  68. IntList addPointsOnLine(IntList indexes, int a, int b, int c, int p1) {
  69. IntList l = new IntList();
  70. // Add points on the line between p1 and p2
  71. for (int i = 0; i < indexes.size(); ++i) {
  72. int idx = indexes.get(i);
  73. double line = lineEquation(a, b, c, idx);
  74. if (line == 0)
  75. l.add(idx);
  76. }
  77. // Calculate distances for sorting
  78. double[] dists = new double[l.size()];
  79. for (int i = 0; i < l.size(); ++i) {
  80. dists[i] = pointDist(p1, l.get(i));
  81. }
  82. // Sort points based on distance from p1
  83. // (Bubble sort, but it's usually really few elements)
  84. boolean sorted;
  85. do {
  86. sorted = true;
  87. // Loop through points, swap non-sorted ones
  88. for (int i = 1; i < l.size(); ++i) {
  89. double dist = dists[i];
  90. double prevDist = dists[i - 1];
  91. // Skip if already sorted
  92. if (prevDist <= dist)
  93. continue;
  94. sorted = false;
  95. // Swap indexes
  96. int tmpi = l.data[i];
  97. l.data[i] = l.data[i - 1];
  98. l.data[i - 1] = tmpi;
  99. // Swap distances
  100. double tmpd = dists[i];
  101. dists[i] = dists[i - 1];
  102. dists[i - 1] = tmpd;
  103. }
  104. } while (!sorted);
  105. return l;
  106. }
  107. }