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@flatten-js/core

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Javascript library for 2d geometry

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/** * Created by Alex Bol on 12/02/2018. */ /** * @module BooleanOperations */ "use strict"; import Flatten from '../flatten'; import * as Utils from '../utils/utils'; import LinkedList from "../data_structures/linked_list"; let {INSIDE, OUTSIDE, BOUNDARY, OVERLAP_SAME, OVERLAP_OPPOSITE} = Flatten; const NOT_VERTEX = 0; const START_VERTEX = 1; const END_VERTEX = 2; export const BOOLEAN_UNION = 1; export const BOOLEAN_INTERSECT = 2; export const BOOLEAN_SUBTRACT = 3; /** * Unify two polygons polygons and returns new polygon. <br/> * Point belongs to the resulted polygon if it belongs to the first OR to the second polygon * @param {Polygon} polygon1 - first operand * @param {Polygon} polygon2 - second operand * @returns {Polygon} */ export function unify(polygon1, polygon2) { let [res_poly, wrk_poly] = booleanOpBinary(polygon1, polygon2, BOOLEAN_UNION, true); return res_poly; } /** * Subtract second polygon from the first and returns new polygon * Point belongs to the resulted polygon if it belongs to the first polygon AND NOT to the second polygon * @param {Polygon} polygon1 - first operand * @param {Polygon} polygon2 - second operand * @returns {Polygon} */ export function subtract(polygon1, polygon2) { let polygon2_tmp = polygon2.clone(); let polygon2_reversed = polygon2_tmp.reverse(); let [res_poly, wrk_poly] = booleanOpBinary(polygon1, polygon2_reversed, BOOLEAN_SUBTRACT, true); return res_poly; } /** * Intersect two polygons and returns new polygon * Point belongs to the resultes polygon is it belongs to the first AND to the second polygon * @param {Polygon} polygon1 - first operand * @param {Polygon} polygon2 - second operand * @returns {Polygon} */ export function intersect(polygon1, polygon2) { let [res_poly, wrk_poly] = booleanOpBinary(polygon1, polygon2, BOOLEAN_INTERSECT, true); return res_poly; } /** * Returns boundary of intersection between two polygons as two arrays of shapes (Segments/Arcs) <br/> * The first array are shapes from the first polygon, the second array are shapes from the second * @param {Polygon} polygon1 - first operand * @param {Polygon} polygon2 - second operand * @returns {Shape[][]} */ export function innerClip(polygon1, polygon2) { let [res_poly, wrk_poly] = booleanOpBinary(polygon1, polygon2, BOOLEAN_INTERSECT, false); let clip_shapes1 = []; for (let face of res_poly.faces) { clip_shapes1 = [...clip_shapes1, ...[...face.edges].map(edge => edge.shape)] } let clip_shapes2 = []; for (let face of wrk_poly.faces) { clip_shapes2 = [...clip_shapes2, ...[...face.edges].map(edge => edge.shape)] } return [clip_shapes1, clip_shapes2]; } /** * Returns boundary of subtraction of the second polygon from first polygon as array of shapes * @param {Polygon} polygon1 - first operand * @param {Polygon} polygon2 - second operand * @returns {Shape[]} */ export function outerClip(polygon1, polygon2) { let [res_poly, wrk_poly] = booleanOpBinary(polygon1, polygon2, BOOLEAN_SUBTRACT, false); let clip_shapes1 = []; for (let face of res_poly.faces) { clip_shapes1 = [...clip_shapes1, ...[...face.edges].map(edge => edge.shape)] } return clip_shapes1; } /** * Returns intersection points between boundaries of two polygons as two array of points <br/> * Points in the first array belong to first polygon, points from the second - to the second. * Points in each array are ordered according to the direction of the correspondent polygon * @param {Polygon} polygon1 - first operand * @param {Polygon} polygon2 - second operand * @returns {Point[][]} */ export function calculateIntersections(polygon1, polygon2) { let res_poly = polygon1.clone(); let wrk_poly = polygon2.clone(); // get intersection points let intersections = getIntersections(res_poly, wrk_poly); // sort intersection points sortIntersections(intersections); // split by intersection points splitByIntersections(res_poly, intersections.int_points1_sorted); splitByIntersections(wrk_poly, intersections.int_points2_sorted); // filter duplicated intersection points filterDuplicatedIntersections(intersections); let ip_sorted1 = intersections.int_points1_sorted.map( int_point => int_point.pt); let ip_sorted2 = intersections.int_points2_sorted.map( int_point => int_point.pt); return [ip_sorted1, ip_sorted2]; } function filterNotRelevantEdges(res_poly, wrk_poly, intersections, op) { // keep not intersected faces for further remove and merge let notIntersectedFacesRes = getNotIntersectedFaces(res_poly, intersections.int_points1); let notIntersectedFacesWrk = getNotIntersectedFaces(wrk_poly, intersections.int_points2); // calculate inclusion flag for not intersected faces calcInclusionForNotIntersectedFaces(notIntersectedFacesRes, wrk_poly); calcInclusionForNotIntersectedFaces(notIntersectedFacesWrk, res_poly); // initialize inclusion flags for edges incident to intersections initializeInclusionFlags(intersections.int_points1); initializeInclusionFlags(intersections.int_points2); // calculate inclusion flags only for edges incident to intersections calculateInclusionFlags(intersections.int_points1, wrk_poly); calculateInclusionFlags(intersections.int_points2, res_poly); // fix boundary conflicts while (fixBoundaryConflicts(res_poly, wrk_poly, intersections.int_points1, intersections.int_points1_sorted, intersections.int_points2, intersections)); // while (fixBoundaryConflicts(wrk_poly, res_poly, intersections.int_points2, intersections.int_points2_sorted, intersections.int_points1, intersections)); // Set overlapping flags for boundary chains: SAME or OPPOSITE setOverlappingFlags(intersections); // remove not relevant chains between intersection points removeNotRelevantChains(res_poly, op, intersections.int_points1_sorted, true); removeNotRelevantChains(wrk_poly, op, intersections.int_points2_sorted, false); // remove not relevant not intersected faces from res_polygon and wrk_polygon // if op == UNION, remove faces that are included in wrk_polygon without intersection // if op == INTERSECT, remove faces that are not included into wrk_polygon removeNotRelevantNotIntersectedFaces(res_poly, notIntersectedFacesRes, op, true); removeNotRelevantNotIntersectedFaces(wrk_poly, notIntersectedFacesWrk, op, false); } function swapLinksAndRestore(res_poly, wrk_poly, intersections, op) { // add edges of wrk_poly into the edge container of res_poly copyWrkToRes(res_poly, wrk_poly, op, intersections.int_points2); // swap links from res_poly to wrk_poly and vice versa swapLinks(res_poly, wrk_poly, intersections); // remove old faces removeOldFaces(res_poly, intersections.int_points1); removeOldFaces(wrk_poly, intersections.int_points2); // restore faces restoreFaces(res_poly, intersections.int_points1, intersections.int_points2); restoreFaces(res_poly, intersections.int_points2, intersections.int_points1); // merge relevant not intersected faces from wrk_polygon to res_polygon // mergeRelevantNotIntersectedFaces(res_poly, wrk_poly); } function booleanOpBinary(polygon1, polygon2, op, restore) { let res_poly = polygon1.clone(); let wrk_poly = polygon2.clone(); // get intersection points let intersections = getIntersections(res_poly, wrk_poly); // sort intersection points sortIntersections(intersections); // split by intersection points splitByIntersections(res_poly, intersections.int_points1_sorted); splitByIntersections(wrk_poly, intersections.int_points2_sorted); // filter duplicated intersection points filterDuplicatedIntersections(intersections); // calculate inclusion and remove not relevant edges filterNotRelevantEdges(res_poly, wrk_poly, intersections, op); if (restore) { swapLinksAndRestore(res_poly, wrk_poly, intersections, op); } return [res_poly, wrk_poly]; } function getIntersections(polygon1, polygon2) { let intersections = { int_points1: [], int_points2: [] }; // calculate intersections for (let edge1 of polygon1.edges) { // request edges of polygon2 in the box of edge1 let resp = polygon2.edges.search(edge1.box); // for each edge2 in response for (let edge2 of resp) { // calculate intersections between edge1 and edge2 let ip = edge1.shape.intersect(edge2.shape); // for each intersection point for (let pt of ip) { addToIntPoints(edge1, pt, intersections.int_points1); addToIntPoints(edge2, pt, intersections.int_points2); } } } return intersections; } export function addToIntPoints(edge, pt, int_points) { let id = int_points.length; let shapes = edge.shape.split(pt); // if (shapes.length < 2) return; if (shapes.length === 0) return; // Point does not belong to edge ? let len = 0; if (shapes[0] === null) { // point incident to edge start vertex len = 0; } else if (shapes[1] === null) { // point incident to edge end vertex len = edge.shape.length; } else { // Edge was split into to edges len = shapes[0].length; } let is_vertex = NOT_VERTEX; if (Utils.EQ(len, 0)) { is_vertex |= START_VERTEX; } if (Utils.EQ(len, edge.shape.length)) { is_vertex |= END_VERTEX; } // Fix intersection point which is end point of the last edge let arc_length = (is_vertex & END_VERTEX) && edge.next.arc_length === 0 ? 0 : edge.arc_length + len; int_points.push({ id: id, pt: pt, arc_length: arc_length, edge_before: edge, edge_after: undefined, face: edge.face, is_vertex: is_vertex }); } function sortIntersections(intersections) { // if (intersections.int_points1.length === 0) return; // augment intersections with new sorted arrays // intersections.int_points1_sorted = intersections.int_points1.slice().sort(compareFn); // intersections.int_points2_sorted = intersections.int_points2.slice().sort(compareFn); intersections.int_points1_sorted = getSortedArray(intersections.int_points1); intersections.int_points2_sorted = getSortedArray(intersections.int_points2); } export function getSortedArray(int_points) { let faceMap = new Map; let id = 0; // Create integer id's for faces for (let ip of int_points) { if (!faceMap.has(ip.face)) { faceMap.set(ip.face, id); id++; } } // Augment intersection points with face id's for (let ip of int_points) { ip.faceId = faceMap.get(ip.face); } // Clone and sort let int_points_sorted = int_points.slice().sort(compareFn); return int_points_sorted; } function compareFn(ip1, ip2) { // compare face id's if (ip1.faceId < ip2.faceId) { return -1; } if (ip1.faceId > ip2.faceId) { return 1; } // same face - compare arc_length if (ip1.arc_length < ip2.arc_length) { return -1; } if (ip1.arc_length > ip2.arc_length) { return 1; } return 0; } export function splitByIntersections(polygon, int_points) { if (!int_points) return; for (let int_point of int_points) { let edge = int_point.edge_before; // recalculate vertex flag: it may be changed after previous split int_point.is_vertex = NOT_VERTEX; if (edge.shape.start.equalTo(int_point.pt)) { int_point.is_vertex |= START_VERTEX; } if (edge.shape.end.equalTo(int_point.pt)) { int_point.is_vertex |= END_VERTEX; } if (int_point.is_vertex & START_VERTEX) { // nothing to split int_point.edge_before = edge.prev; int_point.is_vertex = END_VERTEX; continue; } if (int_point.is_vertex & END_VERTEX) { // nothing to split continue; } let newEdge = polygon.addVertex(int_point.pt, edge); int_point.edge_before = newEdge; } for (let int_point of int_points) { int_point.edge_after = int_point.edge_before.next; } } export function filterDuplicatedIntersections(intersections) { if (intersections.int_points1.length < 2) return; let do_squeeze = false; let int_point_ref1; let int_point_ref2; let int_point_cur1; let int_point_cur2; for (let i = 0; i < intersections.int_points1_sorted.length; i++) { if (intersections.int_points1_sorted[i].id === -1) continue; int_point_ref1 = intersections.int_points1_sorted[i]; int_point_ref2 = intersections.int_points2[int_point_ref1.id]; for (let j=i+1; j < intersections.int_points1_sorted.length; j++) { int_point_cur1 = intersections.int_points1_sorted[j]; if (!Utils.EQ(int_point_cur1.arc_length, int_point_ref1.arc_length)) { break; } if (int_point_cur1.id === -1) continue; int_point_cur2 = intersections.int_points2[int_point_cur1.id]; if (int_point_cur2.id === -1) continue; if (int_point_cur1.edge_before === int_point_ref1.edge_before && int_point_cur1.edge_after === int_point_ref1.edge_after && int_point_cur2.edge_before === int_point_ref2.edge_before && int_point_cur2.edge_after === int_point_ref2.edge_after) { int_point_cur1.id = -1; /* to be deleted */ int_point_cur2.id = -1; /* to be deleted */ do_squeeze = true; } } } int_point_ref2 = intersections.int_points2_sorted[0]; int_point_ref1 = intersections.int_points1[int_point_ref2.id]; for (let i = 1; i < intersections.int_points2_sorted.length; i++) { let int_point_cur2 = intersections.int_points2_sorted[i]; if (int_point_cur2.id == -1) continue; /* already deleted */ if (int_point_ref2.id == -1 || /* can't be reference if already deleted */ !(Utils.EQ(int_point_cur2.arc_length, int_point_ref2.arc_length))) { int_point_ref2 = int_point_cur2; int_point_ref1 = intersections.int_points1[int_point_ref2.id]; continue; } let int_point_cur1 = intersections.int_points1[int_point_cur2.id]; if (int_point_cur1.edge_before === int_point_ref1.edge_before && int_point_cur1.edge_after === int_point_ref1.edge_after && int_point_cur2.edge_before === int_point_ref2.edge_before && int_point_cur2.edge_after === int_point_ref2.edge_after) { int_point_cur1.id = -1; /* to be deleted */ int_point_cur2.id = -1; /* to be deleted */ do_squeeze = true; } } if (do_squeeze) { intersections.int_points1 = intersections.int_points1.filter((int_point) => int_point.id >= 0); intersections.int_points2 = intersections.int_points2.filter((int_point) => int_point.id >= 0); // update id's intersections.int_points1.forEach((int_point, index) => int_point.id = index); intersections.int_points2.forEach((int_point, index) => int_point.id = index); // re-create sorted intersections.int_points1_sorted = []; intersections.int_points2_sorted = []; sortIntersections(intersections); } } function getNotIntersectedFaces(poly, int_points) { let notIntersected = []; for (let face of poly.faces) { if (!int_points.find((ip) => ip.face === face)) { notIntersected.push(face); } } return notIntersected; } function calcInclusionForNotIntersectedFaces(notIntersectedFaces, poly2) { for (let face of notIntersectedFaces) { face.first.bv = face.first.bvStart = face.first.bvEnd = undefined; face.first.setInclusion(poly2); } } function initializeInclusionFlags(int_points) { for (let int_point of int_points) { int_point.edge_before.bvStart = undefined; int_point.edge_before.bvEnd = undefined; int_point.edge_before.bv = undefined; int_point.edge_before.overlap = undefined; int_point.edge_after.bvStart = undefined; int_point.edge_after.bvEnd = undefined; int_point.edge_after.bv = undefined; int_point.edge_after.overlap = undefined; } for (let int_point of int_points) { int_point.edge_before.bvEnd = BOUNDARY; int_point.edge_after.bvStart = BOUNDARY; } } function calculateInclusionFlags(int_points, polygon) { for (let int_point of int_points) { int_point.edge_before.setInclusion(polygon); int_point.edge_after.setInclusion(polygon); } } function fixBoundaryConflicts(poly1, poly2, int_points1, int_points1_sorted, int_points2, intersections ) { let cur_face; let first_int_point_in_face_id; let next_int_point1; let num_int_points = int_points1_sorted.length; let iterate_more = false; for (let i = 0; i < num_int_points; i++) { let cur_int_point1 = int_points1_sorted[i]; // Find boundary chain in the polygon1 if (cur_int_point1.face !== cur_face) { // next chain started first_int_point_in_face_id = i; // cur_int_point1; cur_face = cur_int_point1.face; } // Skip duplicated points with same <x,y> in "cur_int_point1" pool let int_points_cur_pool_start = i; let int_points_cur_pool_num = intPointsPoolCount(int_points1_sorted, i, cur_face); let next_int_point_id; if (int_points_cur_pool_start + int_points_cur_pool_num < num_int_points && int_points1_sorted[int_points_cur_pool_start + int_points_cur_pool_num].face === cur_face) { next_int_point_id = int_points_cur_pool_start + int_points_cur_pool_num; } else { // get first point from the same face next_int_point_id = first_int_point_in_face_id; } // From all points with same ,x,y. in 'next_int_point1' pool choose one that // has same face both in res_poly and in wrk_poly let int_points_next_pool_num = intPointsPoolCount(int_points1_sorted, next_int_point_id, cur_face); next_int_point1 = null; for (let j=next_int_point_id; j < next_int_point_id + int_points_next_pool_num; j++) { let next_int_point1_tmp = int_points1_sorted[j]; if (next_int_point1_tmp.face === cur_face && int_points2[next_int_point1_tmp.id].face === int_points2[cur_int_point1.id].face) { next_int_point1 = next_int_point1_tmp; break; } } if (next_int_point1 === null) continue; let edge_from1 = cur_int_point1.edge_after; let edge_to1 = next_int_point1.edge_before; // Case #1. One of the ends is not boundary - probably tiny edge wrongly marked as boundary if (edge_from1.bv === BOUNDARY && edge_to1.bv != BOUNDARY) { edge_from1.bv = edge_to1.bv; continue; } if (edge_from1.bv != BOUNDARY && edge_to1.bv === BOUNDARY) { edge_to1.bv = edge_from1.bv; continue; } // Set up all boundary values for middle edges. Need for cases 2 and 3 if ( (edge_from1.bv === BOUNDARY && edge_to1.bv === BOUNDARY && edge_from1 != edge_to1) || (edge_from1.bv === INSIDE && edge_to1.bv === OUTSIDE || edge_from1.bv === OUTSIDE && edge_to1.bv === INSIDE ) ) { let edge_tmp = edge_from1.next; while (edge_tmp != edge_to1) { edge_tmp.bvStart = undefined; edge_tmp.bvEnd = undefined; edge_tmp.bv = undefined; edge_tmp.setInclusion(poly2); edge_tmp = edge_tmp.next; } } // Case #2. Both of the ends boundary. Check all the edges in the middle // If some edges in the middle are not boundary then update bv of 'from' and 'to' edges if (edge_from1.bv === BOUNDARY && edge_to1.bv === BOUNDARY && edge_from1 != edge_to1) { let edge_tmp = edge_from1.next; let new_bv; while (edge_tmp != edge_to1) { if (edge_tmp.bv != BOUNDARY) { if (new_bv === undefined) { // first not boundary edge between from and to new_bv = edge_tmp.bv; } else { // another not boundary edge between from and to if (edge_tmp.bv != new_bv) { // and it has different bv - can't resolve conflict throw Flatten.Errors.UNRESOLVED_BOUNDARY_CONFLICT; } } } edge_tmp = edge_tmp.next; } if (new_bv != undefined) { edge_from1.bv = new_bv; edge_to1.bv = new_bv; } continue; // all middle edges are boundary, proceed with this } // Case 3. One of the ends is inner, another is outer if (edge_from1.bv === INSIDE && edge_to1.bv === OUTSIDE || edge_from1.bv === OUTSIDE && edge_to1.bv === INSIDE ) { let edge_tmp = edge_from1; // Find missing intersection point while (edge_tmp != edge_to1) { if (edge_tmp.bvStart === edge_from1.bv && edge_tmp.bvEnd === edge_to1.bv) { let [dist, segment] = edge_tmp.shape.distanceTo(poly2); if (dist < 10*Flatten.DP_TOL) { // it should be very close // let pt = edge_tmp.end; // add to the list of intersections of poly1 addToIntPoints(edge_tmp, segment.ps, int_points1); // split edge_tmp in poly1 if need let int_point1 = int_points1[int_points1.length-1]; if (int_point1.is_vertex & START_VERTEX) { // nothing to split int_point1.edge_after = edge_tmp; int_point1.edge_before = edge_tmp.prev edge_tmp.bvStart = BOUNDARY; edge_tmp.bv = undefined; edge_tmp.setInclusion(poly2); } else if (int_point1.is_vertex & END_VERTEX) { // nothing to split int_point1.edge_after = edge_tmp.next; edge_tmp.bvEnd = BOUNDARY; edge_tmp.bv = undefined; edge_tmp.setInclusion(poly2); } else { // split edge here let newEdge1 = poly2.addVertex(int_point1.pt, edge_tmp); int_point1.edge_before = newEdge1; int_point1.edge_after = newEdge1.next; newEdge1.setInclusion(poly2) newEdge1.next.bvStart = BOUNDARY; newEdge1.next.bvEnd = undefined; newEdge1.next.bv = undefined; newEdge1.next.setInclusion(poly2); } // add to the list of intersections of poly2 let edge2 = poly2.findEdgeByPoint(segment.pe); addToIntPoints(edge2, segment.pe, int_points2); // split edge2 in poly2 if need let int_point2 = int_points2[int_points2.length-1]; if (int_point2.is_vertex & START_VERTEX) { // nothing to split int_point2.edge_after = edge2; int_point2.edge_before = edge2.prev } else if (int_point2.is_vertex & END_VERTEX) { // nothing to split int_point2.edge_after = edge2.next; } else { // split edge here // first locate int_points that may refer to edge2 as edge.after // let int_point2_edge_before = int_points2.find( int_point => int_point.edge_before === edge2) let int_point2_edge_after = int_points2.find( int_point => int_point.edge_after === edge2 ) let newEdge2 = poly2.addVertex(int_point2.pt, edge2); int_point2.edge_before = newEdge2; int_point2.edge_after = newEdge2.next; if (int_point2_edge_after) int_point2_edge_after.edge_after = newEdge2; newEdge2.bvStart = undefined; newEdge2.bvEnd = BOUNDARY; newEdge2.bv = undefined; newEdge2.setInclusion(poly1) newEdge2.next.bvStart = BOUNDARY; newEdge2.next.bvEnd = undefined; newEdge2.next.bv = undefined; newEdge2.next.setInclusion(poly1); } sortIntersections(intersections); iterate_more = true; break; } } edge_tmp = edge_tmp.next; } // we changed intersections inside loop, have to exit and repair again if (iterate_more) break; throw Flatten.Errors.UNRESOLVED_BOUNDARY_CONFLICT; } } return iterate_more; } function setOverlappingFlags(intersections) { let cur_face = undefined; let first_int_point_in_face_id = undefined; let next_int_point1 = undefined; let num_int_points = intersections.int_points1.length; for (let i = 0; i < num_int_points; i++) { let cur_int_point1 = intersections.int_points1_sorted[i]; // Find boundary chain in the polygon1 if (cur_int_point1.face !== cur_face) { // next chain started first_int_point_in_face_id = i; // cur_int_point1; cur_face = cur_int_point1.face; } // Skip duplicated points with same <x,y> in "cur_int_point1" pool let int_points_cur_pool_start = i; let int_points_cur_pool_num = intPointsPoolCount(intersections.int_points1_sorted, i, cur_face); let next_int_point_id; if (int_points_cur_pool_start + int_points_cur_pool_num < num_int_points && intersections.int_points1_sorted[int_points_cur_pool_start + int_points_cur_pool_num].face === cur_face) { next_int_point_id = int_points_cur_pool_start + int_points_cur_pool_num; } else { // get first point from the same face next_int_point_id = first_int_point_in_face_id; } // From all points with same ,x,y. in 'next_int_point1' pool choose one that // has same face both in res_poly and in wrk_poly let int_points_next_pool_num = intPointsPoolCount(intersections.int_points1_sorted, next_int_point_id, cur_face); next_int_point1 = null; for (let j=next_int_point_id; j < next_int_point_id + int_points_next_pool_num; j++) { let next_int_point1_tmp = intersections.int_points1_sorted[j]; if (next_int_point1_tmp.face === cur_face && intersections.int_points2[next_int_point1_tmp.id].face === intersections.int_points2[cur_int_point1.id].face) { next_int_point1 = next_int_point1_tmp; break; } } if (next_int_point1 === null) continue; let edge_from1 = cur_int_point1.edge_after; let edge_to1 = next_int_point1.edge_before; if (!(edge_from1.bv === BOUNDARY && edge_to1.bv === BOUNDARY)) // not a boundary chain - skip continue; if (edge_from1 !== edge_to1) // one edge chain TODO: support complex case continue; /* Find boundary chain in polygon2 between same intersection points */ let cur_int_point2 = intersections.int_points2[cur_int_point1.id]; let next_int_point2 = intersections.int_points2[next_int_point1.id]; let edge_from2 = cur_int_point2.edge_after; let edge_to2 = next_int_point2.edge_before; /* if [edge_from2..edge_to2] is not a boundary chain, invert it */ /* check also that chain consist of one or two edges */ if (!(edge_from2.bv === BOUNDARY && edge_to2.bv === BOUNDARY && edge_from2 === edge_to2)) { cur_int_point2 = intersections.int_points2[next_int_point1.id]; next_int_point2 = intersections.int_points2[cur_int_point1.id]; edge_from2 = cur_int_point2.edge_after; edge_to2 = next_int_point2.edge_before; } if (!(edge_from2.bv === BOUNDARY && edge_to2.bv === BOUNDARY && edge_from2 === edge_to2)) continue; // not an overlapping chain - skip TODO: fix boundary conflict // Set overlapping flag - one-to-one case edge_from1.setOverlap(edge_from2); } } export function removeNotRelevantChains(polygon, op, int_points, is_res_polygon) { if (!int_points) return; let cur_face = undefined; let first_int_point_in_face_num = undefined; let int_point_current; let int_point_next; for (let i = 0; i < int_points.length; i++) { int_point_current = int_points[i]; if (int_point_current.face !== cur_face) { // next face started first_int_point_in_face_num = i; cur_face = int_point_current.face; } if (cur_face.isEmpty()) // ?? continue; // Get next int point from the same face that current // Count how many duplicated points with same <x,y> in "points from" pool ? let int_points_from_pull_start = i; let int_points_from_pull_num = intPointsPoolCount(int_points, i, cur_face); let next_int_point_num; if (int_points_from_pull_start + int_points_from_pull_num < int_points.length && int_points[int_points_from_pull_start + int_points_from_pull_num].face === int_point_current.face) { next_int_point_num = int_points_from_pull_start + int_points_from_pull_num; } else { // get first point from the same face next_int_point_num = first_int_point_in_face_num; } int_point_next = int_points[next_int_point_num]; /* Count how many duplicated points with same <x,y> in "points to" pull ? */ let int_points_to_pull_start = next_int_point_num; let int_points_to_pull_num = intPointsPoolCount(int_points, int_points_to_pull_start, cur_face); let edge_from = int_point_current.edge_after; let edge_to = int_point_next.edge_before; if ((edge_from.bv === INSIDE && edge_to.bv === INSIDE && op === BOOLEAN_UNION) || (edge_from.bv === OUTSIDE && edge_to.bv === OUTSIDE && op === BOOLEAN_INTERSECT) || ((edge_from.bv === OUTSIDE || edge_to.bv === OUTSIDE) && op === BOOLEAN_SUBTRACT && !is_res_polygon) || ((edge_from.bv === INSIDE || edge_to.bv === INSIDE) && op === BOOLEAN_SUBTRACT && is_res_polygon) || (edge_from.bv === BOUNDARY && edge_to.bv === BOUNDARY && (edge_from.overlap & OVERLAP_SAME) && is_res_polygon) || (edge_from.bv === BOUNDARY && edge_to.bv === BOUNDARY && (edge_from.overlap & OVERLAP_OPPOSITE))) { polygon.removeChain(cur_face, edge_from, edge_to); /* update all points in "points from" pull */ for (let k = int_points_from_pull_start; k < int_points_from_pull_start + int_points_from_pull_num; k++) { int_points[k].edge_after = undefined; } /* update all points in "points to" pull */ for (let k = int_points_to_pull_start; k < int_points_to_pull_start + int_points_to_pull_num; k++) { int_points[k].edge_before = undefined; } } /* skip to the last point in "points from" group */ i += int_points_from_pull_num - 1; } }; function intPointsPoolCount(int_points, cur_int_point_num, cur_face) { let int_point_current; let int_point_next; let int_points_pool_num = 1; if (int_points.length == 1) return 1; int_point_current = int_points[cur_int_point_num]; for (let i = cur_int_point_num + 1; i < int_points.length; i++) { if (int_point_current.face != cur_face) { /* next face started */ break; } int_point_next = int_points[i]; if (!(int_point_next.pt.equalTo(int_point_current.pt) && int_point_next.edge_before === int_point_current.edge_before && int_point_next.edge_after === int_point_current.edge_after)) { break; /* next point is different - break and exit */ } int_points_pool_num++; /* duplicated intersection point - increase counter */ } return int_points_pool_num; } function copyWrkToRes(res_polygon, wrk_polygon, op, int_points) { for (let face of wrk_polygon.faces) { for (let edge of face) { res_polygon.edges.add(edge); } // If union - add face from wrk_polygon that is not intersected with res_polygon if ( /*(op === BOOLEAN_UNION || op == BOOLEAN_SUBTRACT) &&*/ int_points.find((ip) => (ip.face === face)) === undefined) { res_polygon.addFace(face.first, face.last); } } } function swapLinks(res_polygon, wrk_polygon, intersections) { if (intersections.int_points1.length === 0) return; for (let i = 0; i < intersections.int_points1.length; i++) { let int_point1 = intersections.int_points1[i]; let int_point2 = intersections.int_points2[i]; // Simple case - find continuation on the other polygon // Process edge from res_polygon if (int_point1.edge_before !== undefined && int_point1.edge_after === undefined) { // swap need if (int_point2.edge_before === undefined && int_point2.edge_after !== undefined) { // simple case // Connect edges int_point1.edge_before.next = int_point2.edge_after; int_point2.edge_after.prev = int_point1.edge_before; // Fill in missed links in intersection points int_point1.edge_after = int_point2.edge_after; int_point2.edge_before = int_point1.edge_before; } } // Process edge from wrk_polygon if (int_point2.edge_before !== undefined && int_point2.edge_after === undefined) { // swap need if (int_point1.edge_before === undefined && int_point1.edge_after !== undefined) { // simple case // Connect edges int_point2.edge_before.next = int_point1.edge_after; int_point1.edge_after.prev = int_point2.edge_before; // Complete missed links int_point2.edge_after = int_point1.edge_after; int_point1.edge_before = int_point2.edge_before; } } // Continuation not found - complex case // Continuation will be found on the same polygon. // It happens when intersection point is actually touching point // Polygon1 if (int_point1.edge_before !== undefined && int_point1.edge_after === undefined) { // still swap need for (let int_point of intersections.int_points1_sorted) { if (int_point === int_point1) continue; // skip same if (int_point.edge_before === undefined && int_point.edge_after !== undefined) { if (int_point.pt.equalTo(int_point1.pt)) { // Connect edges int_point1.edge_before.next = int_point.edge_after; int_point.edge_after.prev = int_point1.edge_before; // Complete missed links int_point1.edge_after = int_point.edge_after; int_point.edge_before = int_point1.edge_before; } } } } // Polygon2 if (int_point2.edge_before !== undefined && int_point2.edge_after === undefined) { // still swap need for (let int_point of intersections.int_points2_sorted) { if (int_point === int_point2) continue; // skip same if (int_point.edge_before === undefined && int_point.edge_after !== undefined) { if (int_point.pt.equalTo(int_point2.pt)) { // Connect edges int_point2.edge_before.next = int_point.edge_after; int_point.edge_after.prev = int_point2.edge_before; // Complete missed links int_point2.edge_after = int_point.edge_after; int_point.edge_before = int_point2.edge_before; } } } } } // Sanity check that no dead ends left } export function removeOldFaces(polygon, int_points) { for (let int_point of int_points) { polygon.faces.delete(int_point.face); int_point.face = undefined; if (int_point.edge_before) int_point.edge_before.face = undefined; if (int_point.edge_after) int_point.edge_after.face = undefined; } } export function restoreFaces(polygon, int_points, other_int_points) { // For each intersection point - create new face for (let int_point of int_points) { if (int_point.edge_before === undefined || int_point.edge_after === undefined) // completely deleted continue; if (int_point.face) // already restored continue; if (int_point.edge_after.face || int_point.edge_before.face) // Face already created. Possible case in duplicated intersection points continue; let first = int_point.edge_after; // face start let last = int_point.edge_before; // face end; LinkedList.testInfiniteLoop(first); // check and throw error if infinite loop found let face = polygon.addFace(first, last); // Mark intersection points from the newly create face // to avoid multiple creation of the same face // Face was assigned to each edge of new face in addFace function for (let int_point_tmp of int_points) { if (int_point_tmp.edge_before && int_point_tmp.edge_after && int_point_tmp.edge_before.face === face && int_point_tmp.edge_after.face === face) { int_point_tmp.face = face; } } // Mark other intersection points as well for (let int_point_tmp of other_int_points) { if (int_point_tmp.edge_before && int_point_tmp.edge_after && int_point_tmp.edge_before.face === face && int_point_tmp.edge_after.face === face) { int_point_tmp.face = face; } } } } function removeNotRelevantNotIntersectedFaces(polygon, notIntersectedFaces, op, is_res_polygon) { for (let face of notIntersectedFaces) { let rel = face.first.bv; if (op === BOOLEAN_UNION && rel === INSIDE || op === BOOLEAN_SUBTRACT && rel === INSIDE && is_res_polygon || op === BOOLEAN_SUBTRACT && rel === OUTSIDE && !is_res_polygon || op === BOOLEAN_INTERSECT && rel === OUTSIDE) { polygon.deleteFace(face); } } } function mergeRelevantNotIntersectedFaces(res_polygon, wrk_polygon) { // All not relevant faces should be already deleted from wrk_polygon for (let face of wrk_polygon.faces) { res_polygon.addFace(face); } }