pointInPolygon.js 9.9 KB

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  1. (function (global, factory) {
  2. typeof exports === 'object' && typeof module !== 'undefined' ? module.exports = factory() :
  3. typeof define === 'function' && define.amd ? define(factory) :
  4. (global = typeof globalThis !== 'undefined' ? globalThis : global || self, global.pointInPolygon = factory());
  5. })(this, (function () { 'use strict';
  6. var epsilon = 1.1102230246251565e-16;
  7. var splitter = 134217729;
  8. var resulterrbound = (3 + 8 * epsilon) * epsilon;
  9. // fast_expansion_sum_zeroelim routine from oritinal code
  10. function sum(elen, e, flen, f, h) {
  11. var Q, Qnew, hh, bvirt;
  12. var enow = e[0];
  13. var fnow = f[0];
  14. var eindex = 0;
  15. var findex = 0;
  16. if ((fnow > enow) === (fnow > -enow)) {
  17. Q = enow;
  18. enow = e[++eindex];
  19. } else {
  20. Q = fnow;
  21. fnow = f[++findex];
  22. }
  23. var hindex = 0;
  24. if (eindex < elen && findex < flen) {
  25. if ((fnow > enow) === (fnow > -enow)) {
  26. Qnew = enow + Q;
  27. hh = Q - (Qnew - enow);
  28. enow = e[++eindex];
  29. } else {
  30. Qnew = fnow + Q;
  31. hh = Q - (Qnew - fnow);
  32. fnow = f[++findex];
  33. }
  34. Q = Qnew;
  35. if (hh !== 0) {
  36. h[hindex++] = hh;
  37. }
  38. while (eindex < elen && findex < flen) {
  39. if ((fnow > enow) === (fnow > -enow)) {
  40. Qnew = Q + enow;
  41. bvirt = Qnew - Q;
  42. hh = Q - (Qnew - bvirt) + (enow - bvirt);
  43. enow = e[++eindex];
  44. } else {
  45. Qnew = Q + fnow;
  46. bvirt = Qnew - Q;
  47. hh = Q - (Qnew - bvirt) + (fnow - bvirt);
  48. fnow = f[++findex];
  49. }
  50. Q = Qnew;
  51. if (hh !== 0) {
  52. h[hindex++] = hh;
  53. }
  54. }
  55. }
  56. while (eindex < elen) {
  57. Qnew = Q + enow;
  58. bvirt = Qnew - Q;
  59. hh = Q - (Qnew - bvirt) + (enow - bvirt);
  60. enow = e[++eindex];
  61. Q = Qnew;
  62. if (hh !== 0) {
  63. h[hindex++] = hh;
  64. }
  65. }
  66. while (findex < flen) {
  67. Qnew = Q + fnow;
  68. bvirt = Qnew - Q;
  69. hh = Q - (Qnew - bvirt) + (fnow - bvirt);
  70. fnow = f[++findex];
  71. Q = Qnew;
  72. if (hh !== 0) {
  73. h[hindex++] = hh;
  74. }
  75. }
  76. if (Q !== 0 || hindex === 0) {
  77. h[hindex++] = Q;
  78. }
  79. return hindex;
  80. }
  81. function estimate(elen, e) {
  82. var Q = e[0];
  83. for (var i = 1; i < elen; i++) { Q += e[i]; }
  84. return Q;
  85. }
  86. function vec(n) {
  87. return new Float64Array(n);
  88. }
  89. var ccwerrboundA = (3 + 16 * epsilon) * epsilon;
  90. var ccwerrboundB = (2 + 12 * epsilon) * epsilon;
  91. var ccwerrboundC = (9 + 64 * epsilon) * epsilon * epsilon;
  92. var B = vec(4);
  93. var C1 = vec(8);
  94. var C2 = vec(12);
  95. var D = vec(16);
  96. var u = vec(4);
  97. function orient2dadapt(ax, ay, bx, by, cx, cy, detsum) {
  98. var acxtail, acytail, bcxtail, bcytail;
  99. var bvirt, c, ahi, alo, bhi, blo, _i, _j, _0, s1, s0, t1, t0, u3;
  100. var acx = ax - cx;
  101. var bcx = bx - cx;
  102. var acy = ay - cy;
  103. var bcy = by - cy;
  104. s1 = acx * bcy;
  105. c = splitter * acx;
  106. ahi = c - (c - acx);
  107. alo = acx - ahi;
  108. c = splitter * bcy;
  109. bhi = c - (c - bcy);
  110. blo = bcy - bhi;
  111. s0 = alo * blo - (s1 - ahi * bhi - alo * bhi - ahi * blo);
  112. t1 = acy * bcx;
  113. c = splitter * acy;
  114. ahi = c - (c - acy);
  115. alo = acy - ahi;
  116. c = splitter * bcx;
  117. bhi = c - (c - bcx);
  118. blo = bcx - bhi;
  119. t0 = alo * blo - (t1 - ahi * bhi - alo * bhi - ahi * blo);
  120. _i = s0 - t0;
  121. bvirt = s0 - _i;
  122. B[0] = s0 - (_i + bvirt) + (bvirt - t0);
  123. _j = s1 + _i;
  124. bvirt = _j - s1;
  125. _0 = s1 - (_j - bvirt) + (_i - bvirt);
  126. _i = _0 - t1;
  127. bvirt = _0 - _i;
  128. B[1] = _0 - (_i + bvirt) + (bvirt - t1);
  129. u3 = _j + _i;
  130. bvirt = u3 - _j;
  131. B[2] = _j - (u3 - bvirt) + (_i - bvirt);
  132. B[3] = u3;
  133. var det = estimate(4, B);
  134. var errbound = ccwerrboundB * detsum;
  135. if (det >= errbound || -det >= errbound) {
  136. return det;
  137. }
  138. bvirt = ax - acx;
  139. acxtail = ax - (acx + bvirt) + (bvirt - cx);
  140. bvirt = bx - bcx;
  141. bcxtail = bx - (bcx + bvirt) + (bvirt - cx);
  142. bvirt = ay - acy;
  143. acytail = ay - (acy + bvirt) + (bvirt - cy);
  144. bvirt = by - bcy;
  145. bcytail = by - (bcy + bvirt) + (bvirt - cy);
  146. if (acxtail === 0 && acytail === 0 && bcxtail === 0 && bcytail === 0) {
  147. return det;
  148. }
  149. errbound = ccwerrboundC * detsum + resulterrbound * Math.abs(det);
  150. det += (acx * bcytail + bcy * acxtail) - (acy * bcxtail + bcx * acytail);
  151. if (det >= errbound || -det >= errbound) { return det; }
  152. s1 = acxtail * bcy;
  153. c = splitter * acxtail;
  154. ahi = c - (c - acxtail);
  155. alo = acxtail - ahi;
  156. c = splitter * bcy;
  157. bhi = c - (c - bcy);
  158. blo = bcy - bhi;
  159. s0 = alo * blo - (s1 - ahi * bhi - alo * bhi - ahi * blo);
  160. t1 = acytail * bcx;
  161. c = splitter * acytail;
  162. ahi = c - (c - acytail);
  163. alo = acytail - ahi;
  164. c = splitter * bcx;
  165. bhi = c - (c - bcx);
  166. blo = bcx - bhi;
  167. t0 = alo * blo - (t1 - ahi * bhi - alo * bhi - ahi * blo);
  168. _i = s0 - t0;
  169. bvirt = s0 - _i;
  170. u[0] = s0 - (_i + bvirt) + (bvirt - t0);
  171. _j = s1 + _i;
  172. bvirt = _j - s1;
  173. _0 = s1 - (_j - bvirt) + (_i - bvirt);
  174. _i = _0 - t1;
  175. bvirt = _0 - _i;
  176. u[1] = _0 - (_i + bvirt) + (bvirt - t1);
  177. u3 = _j + _i;
  178. bvirt = u3 - _j;
  179. u[2] = _j - (u3 - bvirt) + (_i - bvirt);
  180. u[3] = u3;
  181. var C1len = sum(4, B, 4, u, C1);
  182. s1 = acx * bcytail;
  183. c = splitter * acx;
  184. ahi = c - (c - acx);
  185. alo = acx - ahi;
  186. c = splitter * bcytail;
  187. bhi = c - (c - bcytail);
  188. blo = bcytail - bhi;
  189. s0 = alo * blo - (s1 - ahi * bhi - alo * bhi - ahi * blo);
  190. t1 = acy * bcxtail;
  191. c = splitter * acy;
  192. ahi = c - (c - acy);
  193. alo = acy - ahi;
  194. c = splitter * bcxtail;
  195. bhi = c - (c - bcxtail);
  196. blo = bcxtail - bhi;
  197. t0 = alo * blo - (t1 - ahi * bhi - alo * bhi - ahi * blo);
  198. _i = s0 - t0;
  199. bvirt = s0 - _i;
  200. u[0] = s0 - (_i + bvirt) + (bvirt - t0);
  201. _j = s1 + _i;
  202. bvirt = _j - s1;
  203. _0 = s1 - (_j - bvirt) + (_i - bvirt);
  204. _i = _0 - t1;
  205. bvirt = _0 - _i;
  206. u[1] = _0 - (_i + bvirt) + (bvirt - t1);
  207. u3 = _j + _i;
  208. bvirt = u3 - _j;
  209. u[2] = _j - (u3 - bvirt) + (_i - bvirt);
  210. u[3] = u3;
  211. var C2len = sum(C1len, C1, 4, u, C2);
  212. s1 = acxtail * bcytail;
  213. c = splitter * acxtail;
  214. ahi = c - (c - acxtail);
  215. alo = acxtail - ahi;
  216. c = splitter * bcytail;
  217. bhi = c - (c - bcytail);
  218. blo = bcytail - bhi;
  219. s0 = alo * blo - (s1 - ahi * bhi - alo * bhi - ahi * blo);
  220. t1 = acytail * bcxtail;
  221. c = splitter * acytail;
  222. ahi = c - (c - acytail);
  223. alo = acytail - ahi;
  224. c = splitter * bcxtail;
  225. bhi = c - (c - bcxtail);
  226. blo = bcxtail - bhi;
  227. t0 = alo * blo - (t1 - ahi * bhi - alo * bhi - ahi * blo);
  228. _i = s0 - t0;
  229. bvirt = s0 - _i;
  230. u[0] = s0 - (_i + bvirt) + (bvirt - t0);
  231. _j = s1 + _i;
  232. bvirt = _j - s1;
  233. _0 = s1 - (_j - bvirt) + (_i - bvirt);
  234. _i = _0 - t1;
  235. bvirt = _0 - _i;
  236. u[1] = _0 - (_i + bvirt) + (bvirt - t1);
  237. u3 = _j + _i;
  238. bvirt = u3 - _j;
  239. u[2] = _j - (u3 - bvirt) + (_i - bvirt);
  240. u[3] = u3;
  241. var Dlen = sum(C2len, C2, 4, u, D);
  242. return D[Dlen - 1];
  243. }
  244. function orient2d(ax, ay, bx, by, cx, cy) {
  245. var detleft = (ay - cy) * (bx - cx);
  246. var detright = (ax - cx) * (by - cy);
  247. var det = detleft - detright;
  248. var detsum = Math.abs(detleft + detright);
  249. if (Math.abs(det) >= ccwerrboundA * detsum) { return det; }
  250. return -orient2dadapt(ax, ay, bx, by, cx, cy, detsum);
  251. }
  252. function pointInPolygon(p, polygon) {
  253. var i;
  254. var ii;
  255. var k = 0;
  256. var f;
  257. var u1;
  258. var v1;
  259. var u2;
  260. var v2;
  261. var currentP;
  262. var nextP;
  263. var x = p[0];
  264. var y = p[1];
  265. var numContours = polygon.length;
  266. for (i = 0; i < numContours; i++) {
  267. ii = 0;
  268. var contour = polygon[i];
  269. var contourLen = contour.length - 1;
  270. currentP = contour[0];
  271. if (currentP[0] !== contour[contourLen][0] &&
  272. currentP[1] !== contour[contourLen][1]) {
  273. throw new Error('First and last coordinates in a ring must be the same')
  274. }
  275. u1 = currentP[0] - x;
  276. v1 = currentP[1] - y;
  277. for (ii; ii < contourLen; ii++) {
  278. nextP = contour[ii + 1];
  279. u2 = nextP[0] - x;
  280. v2 = nextP[1] - y;
  281. if (v1 === 0 && v2 === 0) {
  282. if ((u2 <= 0 && u1 >= 0) || (u1 <= 0 && u2 >= 0)) { return 0 }
  283. } else if ((v2 >= 0 && v1 <= 0) || (v2 <= 0 && v1 >= 0)) {
  284. f = orient2d(u1, u2, v1, v2, 0, 0);
  285. if (f === 0) { return 0 }
  286. if ((f > 0 && v2 > 0 && v1 <= 0) || (f < 0 && v2 <= 0 && v1 > 0)) { k++; }
  287. }
  288. currentP = nextP;
  289. v1 = v2;
  290. u1 = u2;
  291. }
  292. }
  293. if (k % 2 === 0) { return false }
  294. return true
  295. }
  296. return pointInPolygon;
  297. }));