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  1. /**
  2. * 贝塞尔平滑曲线
  3. */
  4. import {
  5. min as v2Min,
  6. max as v2Max,
  7. scale as v2Scale,
  8. distance as v2Distance,
  9. add as v2Add,
  10. clone as v2Clone,
  11. sub as v2Sub,
  12. VectorArray
  13. } from '../../core/vector';
  14. /**
  15. * 贝塞尔平滑曲线
  16. * @param points 线段顶点数组
  17. * @param smooth 平滑等级, 0-1
  18. * @param isLoop
  19. * @param constraint 将计算出来的控制点约束在一个包围盒内
  20. * 比如 [[0, 0], [100, 100]], 这个包围盒会与
  21. * 整个折线的包围盒做一个并集用来约束控制点。
  22. * @param 计算出来的控制点数组
  23. */
  24. export default function smoothBezier(
  25. points: VectorArray[],
  26. smooth?: number,
  27. isLoop?: boolean,
  28. constraint?: VectorArray[]
  29. ) {
  30. const cps = [];
  31. const v: VectorArray = [];
  32. const v1: VectorArray = [];
  33. const v2: VectorArray = [];
  34. let prevPoint;
  35. let nextPoint;
  36. let min;
  37. let max;
  38. if (constraint) {
  39. min = [Infinity, Infinity];
  40. max = [-Infinity, -Infinity];
  41. for (let i = 0, len = points.length; i < len; i++) {
  42. v2Min(min, min, points[i]);
  43. v2Max(max, max, points[i]);
  44. }
  45. // 与指定的包围盒做并集
  46. v2Min(min, min, constraint[0]);
  47. v2Max(max, max, constraint[1]);
  48. }
  49. for (let i = 0, len = points.length; i < len; i++) {
  50. const point = points[i];
  51. if (isLoop) {
  52. prevPoint = points[i ? i - 1 : len - 1];
  53. nextPoint = points[(i + 1) % len];
  54. }
  55. else {
  56. if (i === 0 || i === len - 1) {
  57. cps.push(v2Clone(points[i]));
  58. continue;
  59. }
  60. else {
  61. prevPoint = points[i - 1];
  62. nextPoint = points[i + 1];
  63. }
  64. }
  65. v2Sub(v, nextPoint, prevPoint);
  66. // use degree to scale the handle length
  67. v2Scale(v, v, smooth);
  68. let d0 = v2Distance(point, prevPoint);
  69. let d1 = v2Distance(point, nextPoint);
  70. const sum = d0 + d1;
  71. if (sum !== 0) {
  72. d0 /= sum;
  73. d1 /= sum;
  74. }
  75. v2Scale(v1, v, -d0);
  76. v2Scale(v2, v, d1);
  77. const cp0 = v2Add([], point, v1);
  78. const cp1 = v2Add([], point, v2);
  79. if (constraint) {
  80. v2Max(cp0, cp0, min);
  81. v2Min(cp0, cp0, max);
  82. v2Max(cp1, cp1, min);
  83. v2Min(cp1, cp1, max);
  84. }
  85. cps.push(cp0);
  86. cps.push(cp1);
  87. }
  88. if (isLoop) {
  89. cps.push(cps.shift());
  90. }
  91. return cps;
  92. }