#include "WimaArea.h" const double WimaArea::numericalAccuracy = 1e-3; // meters const char* WimaArea::maxAltitudeName = "maxAltitude"; const char* WimaArea::wimaAreaName = "WimaArea"; const char* WimaArea::areaTypeName = "AreaType"; WimaArea::WimaArea(QObject *parent) : QGCMapPolygon (parent) { init(); _maxAltitude = 30; } WimaArea::WimaArea(const WimaArea &other, QObject *parent) : QGCMapPolygon (other, parent) { init(); this->setPath(other.path()); this->setCenter(other.center()); this->setCenterDrag(other.centerDrag()); this->setInteractive(other.interactive()); _maxAltitude = other.maxAltitude(); } void WimaArea::setMaxAltitude(double alt) { if ( alt > 0 && qFuzzyCompare(alt, _maxAltitude) ) { _maxAltitude = alt; emit maxAltitudeChanged(); } } int WimaArea::getClosestVertexIndex(const QGeoCoordinate &coordinate) const { if (this->count() == 0) { qWarning("Polygon count == 0!"); return -1; }else if (this->count() == 1) { return 0; }else { int index = 0; double min_dist = coordinate.distanceTo(this->vertexCoordinate(index)); for(int i = 1; i < this->count(); i++){ double dist = coordinate.distanceTo(this->vertexCoordinate(i)); if (dist < min_dist){ min_dist = dist; index = i; } } return index; } } QGeoCoordinate WimaArea::getClosestVertex(const QGeoCoordinate& coordinate) const { return this->vertexCoordinate(getClosestVertexIndex(coordinate)); } QGCMapPolygon WimaArea::toQGCPolygon(const WimaArea &poly) { QGCMapPolygon qgcPoly; qgcPoly.setPath(poly.path()); qgcPoly.setCenter(poly.center()); qgcPoly.setCenterDrag(poly.centerDrag()); qgcPoly.setInteractive(poly.interactive()); return QGCMapPolygon(qgcPoly); } QGCMapPolygon WimaArea::toQGCPolygon() const { return toQGCPolygon(*this); } void WimaArea::join(QList* polyList, WimaArea* joinedPoly) { return; } bool WimaArea::join(WimaArea &poly1, WimaArea &poly2, WimaArea &joinedPoly) { if (poly1.count() >= 3 && poly2.count() >= 3) { joinedPoly.clear(); poly1.verifyClockwiseWinding(); poly2.verifyClockwiseWinding(); WimaArea* walkerPoly = &poly1; // "walk" on this polygon towards higher indices WimaArea* crossPoly = &poly2; // check for crossings with this polygon while "walking" // and swicht to this polygon on a intersection, // continue to walk towards higher indices // begin with the first index which is not inside crosspoly, if all Vertices are inside crosspoly return crosspoly int startIndex = 0; bool crossContainsWalker = true; for (int i = 0; i < walkerPoly->count(); i++) { if ( !crossPoly->containsCoordinate(walkerPoly->vertexCoordinate(i)) ) { crossContainsWalker = false; startIndex = i; break; } } if ( crossContainsWalker == true) { joinedPoly.appendVertices(crossPoly->coordinateList()); return true; } QGeoCoordinate currentVertex = walkerPoly->vertexCoordinate(startIndex); QGeoCoordinate startVertex = currentVertex; // possible nextVertex (if no intersection between currentVertex and protoVertex with crossPoly) QGeoCoordinate protoNextVertex = walkerPoly->vertexCoordinate(walkerPoly->nextVertexIndex(startIndex)); int nextVertexIndex = walkerPoly->nextVertexIndex(startIndex); while (1) { //qDebug("nextVertexIndex: %i", nextVertexIndex); joinedPoly.appendVertex(currentVertex); QGCMapPolyline walkerPolySegment; walkerPolySegment.appendVertex(currentVertex); walkerPolySegment.appendVertex(protoNextVertex); QList> neighbourList; QList intersectionList; //qDebug("IntersectionList.size() on init: %i", intersectionList.size()); intersects(walkerPolySegment, *crossPoly, intersectionList, neighbourList); //qDebug("IntersectionList.size(): %i", intersectionList.size()); if (intersectionList.size() >= 1) { int minDistIndex = 0; if (intersectionList.size() > 1) { double minDist = currentVertex.distanceTo(intersectionList.value(minDistIndex)); for (int i = 1; i < intersectionList.size(); i++) { double currentDist = currentVertex.distanceTo(intersectionList.value(i)); if ( minDist > currentDist ) { minDist = currentDist; minDistIndex = i; } } } //qDebug("MinDistIndex: %i", minDistIndex); QGeoCoordinate protoCurrentVertex = intersectionList.value(minDistIndex); // take numerical erros into account if (protoCurrentVertex.distanceTo(currentVertex) > WimaArea::numericalAccuracy) { currentVertex = protoCurrentVertex; QPair neighbours = neighbourList.value(minDistIndex); protoNextVertex = crossPoly->vertexCoordinate(neighbours.second); nextVertexIndex = neighbours.second; // swap walker and cross poly WimaArea* temp = walkerPoly; walkerPoly = crossPoly; crossPoly = temp; } else { currentVertex = walkerPoly->vertexCoordinate(nextVertexIndex); protoNextVertex = walkerPoly->vertexCoordinate(walkerPoly->nextVertexIndex(nextVertexIndex)); nextVertexIndex = walkerPoly->nextVertexIndex(nextVertexIndex); } } else { currentVertex = walkerPoly->vertexCoordinate(nextVertexIndex); protoNextVertex = walkerPoly->vertexCoordinate(walkerPoly->nextVertexIndex(nextVertexIndex)); nextVertexIndex = walkerPoly->nextVertexIndex(nextVertexIndex); } if (currentVertex == startVertex) { if (poly1.count() == joinedPoly.count()) { // is the case if poly1 and poly2 don't intersect return false; } else { return true; } } } } else { return false; } } bool WimaArea::join(WimaArea &poly) { WimaArea joinedArea; if ( join(*this, poly, joinedArea) ) { this->setPath(joinedArea.path()); return true; } else { return false; } } bool WimaArea::isDisjunct(QList* polyList) { // needs improvement if (polyList != nullptr){ for (int i = 0;i < polyList->size()-1; i++) { WimaArea* currPoly = polyList->value(i); for (int j = i+1; i < polyList->size(); j++) { if (isDisjunct(currPoly, polyList->value(j))) { return false; } } } return true; } else { qWarning("WimaArea::isDisjunct(polyList): polyList == nullptr!"); return false; } } bool WimaArea::isDisjunct(WimaArea *poly1, WimaArea *poly2) { if (poly1 != nullptr && poly2 != nullptr) { QGCMapPolygon* poly1Copy = new QGCMapPolygon(this); poly1Copy->setPath(poly1->path()); poly1Copy->offset(numericalAccuracy);// take numerical errors in account for(int i = 0; i < poly2->count(); i++){ if (poly1Copy->containsCoordinate(poly2->vertexCoordinate(i))){ return false; } } return true; } else { qWarning("WimaArea::isDisjunct(poly1, poly2): poly1 == nullptr || poly2 == nullptr!"); return false; } } int WimaArea::nextVertexIndex(int index) const { if (index >= 0 && index < count()-1) { return index + 1; } else if (index == count()-1) { return 0; } else { qWarning("WimaArea::nextVertexIndex(): Index out of bounds! index:count = %i:%i", index, count()); return -1; } } int WimaArea::previousVertexIndex(int index) const { if (index > 0 && index < count()) { return index - 1; } else if (index == 0) { return count()-1; } else { qWarning("WimaArea::previousVertexIndex(): Index out of bounds! index:count = %i:%i", index, count()); return -1; } } bool WimaArea::intersects(const QGCMapPolyline &line1, const QGCMapPolyline &line2, QGeoCoordinate &intersectionPt) { if (line1.count() == 2 && line2.count() == 2 ) { QPointF pt11(0, 0); double x, y, z; QGeoCoordinate origin = line1.vertexCoordinate(0); convertGeoToNed(line1.vertexCoordinate(1), origin, &x, &y, &z); QPointF pt12(x, y); QLineF kartLine1(pt11, pt12); convertGeoToNed(line2.vertexCoordinate(0), origin, &x, &y, &z); QPointF pt21(x, y); convertGeoToNed(line2.vertexCoordinate(1), origin, &x, &y, &z); QPointF pt22(x, y);; QLineF kartLine2(pt21, pt22); QPointF intersectionPoint; if (kartLine1.intersect(kartLine2, &intersectionPoint) == QLineF::BoundedIntersection) { convertNedToGeo(intersectionPoint.x(), intersectionPoint.y(), origin.altitude(), origin, &intersectionPt); return true; } else { return false; } } else { qWarning("WimaArea::intersect(line1, line2): line1->count() != 2 || line2->count() != 2!"); return false; } } bool WimaArea::intersects(const QGCMapPolyline &line, const WimaArea &poly, QList &intersectionList, QList > &neighbourList) { // ================ Brief Explanation ================ // This function checks whether line intersects with the border line of poly // Returns true if at least one intersection occurs, false else. // Stores the intersection points inside intersectionList. // Stores the indices of the cloest two polygon vetices for each of coorespoinding intersection points in neighbourList intersectionList.clear(); neighbourList.clear(); if (line.count() == 2 && poly.count() >= 3) { // are line a proper line and poly a proper poly? // Asseble a line form each tow consecutive polygon vertices and check whether it intersects with line for (int i = 0; i < poly.count(); i++) { QGCMapPolyline interatorLine; QGeoCoordinate currentVertex = poly.vertexCoordinate(i); QGeoCoordinate nextVertex = poly.vertexCoordinate(poly.nextVertexIndex(i)); interatorLine.appendVertex(currentVertex); interatorLine.appendVertex(nextVertex); QGeoCoordinate intersectionPoint; if ( intersects(line, interatorLine, intersectionPoint) ){ intersectionList.append(intersectionPoint); QPair neighbours; neighbours.first = i; neighbours.second = poly.nextVertexIndex(i); neighbourList.append(neighbours); } } if (intersectionList.count() > 0) { return true; } else { return false; } } else { qWarning("WimaArea::intersects(line, poly): line->count() != 2 || poly->count() < 3"); return false; } } double WimaArea::distInsidePoly(const QGeoCoordinate &c1, const QGeoCoordinate &c2, WimaArea poly) { poly.offset(0.1); // hack to compensate for numerical issues, migh be replaced in the future... if ( poly.containsCoordinate(c1) && poly.containsCoordinate(c2)) { QList intersectionList; QList> neighbourlist; QGCMapPolyline line; line.appendVertex(c1); line.appendVertex(c2); intersects(line, poly, intersectionList, neighbourlist); if ( intersectionList.size() == 0 ){ return c1.distanceTo(c2); } else { return std::numeric_limits::infinity(); } } else { return std::numeric_limits::infinity(); } } bool WimaArea::dijkstraPath(const QGeoCoordinate &start, const QGeoCoordinate &end, const WimaArea &poly, QList &dijkstraPath) { // ================ Brief Explanation ================ // This function calculates the shortes Path between two GeoCoordinates (start, end) using the Dijkstra Algorithm. // The path will be inside the polygon poly if possible. // Stores the result inside dijkstraPath // Returns true if a valid path was found. if ( isSelfIntersecting(poly) ) { return false; } // Each QGeoCoordinate gets stuff into a Node /// @param distance is the distance between the Node and it's predecessor struct Node{ QGeoCoordinate coordinate; double distance = std::numeric_limits::infinity(); Node* predecessorNode = nullptr; }; // The list with all Nodes (start, end + poly.path()) QList nodeList; // This list will be initalized with (pointer to) all elements of nodeList. // Elements will be successively remove during the execution of the Dijkstra Algorithm. QList workingSet; // initialize nodeList // start cooridnate Node startNode; startNode.coordinate = start; startNode.distance = 0; nodeList.append(startNode); //poly cooridnates for (int i = 0; i < poly.count(); i++) { Node node; node.coordinate = poly.vertexCoordinate(i); nodeList.append(node); } //end coordinate Node endNode; endNode.coordinate = end; nodeList.append(endNode); // initialize working set for (int i = 0; i < nodeList.size(); i++) { Node* nodePtr = &nodeList[i]; workingSet.append(nodePtr); } // Dijkstra Algorithm // https://de.wikipedia.org/wiki/Dijkstra-Algorithmus while (workingSet.size() > 0) { // serach Node with minimal distance double minDist = std::numeric_limits::infinity(); int minDistIndex = 0; for (int i = 0; i < workingSet.size(); i++) { Node* node = workingSet.value(i); double dist = node->distance; if (dist < minDist) { minDist = dist; minDistIndex = i; } } Node* u = workingSet.takeAt(minDistIndex); //update distance for (int i = 0; i < workingSet.size(); i++) { Node* v = workingSet[i]; // is neighbour? dist == infinity if no neihbour double dist = distInsidePoly(u->coordinate, v->coordinate, poly); // is ther a alternative path which is shorter? double alternative = u->distance + dist; if (alternative < v->distance) { v->distance = alternative; v->predecessorNode = u; } } } // end Djikstra Algorithm // check it the Algorithm was sucessful Node* Node = &nodeList.last(); if (Node->predecessorNode == nullptr) { qWarning("WimaArea::dijkstraPath(): Error, no path found!"); return false; } // assemble path while (1) { dijkstraPath.prepend(Node->coordinate); //Update Node Node = Node->predecessorNode; if (Node == nullptr) { break; } } return true; } bool WimaArea::isSelfIntersecting(const WimaArea &poly) { int i = 0; if (poly.count() > 3) { while(i < poly.count()-1) { QGCMapPolyline refLine; refLine.appendVertex(poly.vertexCoordinate(i)); refLine.appendVertex(poly.vertexCoordinate(poly.nextVertexIndex(i))); int j = poly.nextVertexIndex(i); while(j < poly.count()) { QGeoCoordinate dummy; QGCMapPolyline iteratorLine; iteratorLine.appendVertex(poly.vertexCoordinate(j)); iteratorLine.appendVertex(poly.vertexCoordinate(poly.nextVertexIndex(j))); if ( intersects(refLine, iteratorLine, dummy) ) return true; j++; } i++; } } return false; } bool WimaArea::isSelfIntersecting() { return isSelfIntersecting(*this); } void WimaArea::saveToJson(QJsonObject &json) { this->QGCMapPolygon::saveToJson(json); json[maxAltitudeName] = _maxAltitude; json[areaTypeName] = wimaAreaName; // add WimaVehicle if necessary.. } bool WimaArea::loadFromJson(const QJsonObject &json, QString& errorString) { if ( this->QGCMapPolygon::loadFromJson(json, false /*no poly required*/, errorString) ) { if ( json.contains(maxAltitudeName) && json[maxAltitudeName].isDouble()) { _maxAltitude = json[maxAltitudeName].toDouble(); return true; } else { errorString.append(tr("Could not load Maximum Altitude value!\n")); return false; } } else { qWarning() << errorString; return false; } } void WimaArea::update(const WimaArea &area) { this->QGCMapPolygon::update(area); this->setMaxAltitude(area.maxAltitude()); } void WimaArea::init() { this->setObjectName(wimaAreaName); } void print(const WimaArea &area) { QString message; print(area, message); qWarning() << message; } void print(const WimaArea &area, QString &outputString) { outputString.append(QString("Type: %1").arg(area.objectName())); print(static_cast(area), outputString); outputString.append(QString("Maximum Altitude: %1").arg(area._maxAltitude)); }