// Copyright (C) 2020 Paolo Angelelli // Copyright (C) 2022 The Qt Company Ltd. // SPDX-License-Identifier: LicenseRef-Qt-Commercial OR LGPL-3.0-only OR GPL-2.0-only OR GPL-3.0-only #include "qdeclarativegeomapitemutils_p.h" #include #include #include #include #include #include QT_BEGIN_NAMESPACE namespace QDeclarativeGeoMapItemUtils { double distanceSqrPointLine(double p0_x , double p0_y , double p1_x , double p1_y , double p2_x , double p2_y) { const double t_x = p2_x - p1_x; const double t_y = p2_y - p1_y; const double p_x = p0_x - p1_x; const double p_y = p0_y - p1_y; const double tsqr = t_x * t_x + t_y * t_y; if (tsqr == 0) return qInf(); double alpha = (p_x * t_x + p_y * t_y) / tsqr; alpha = qBound(0, alpha, 1); const double dx = p_x - t_x * alpha; const double dy = p_y - t_y * alpha; return dx * dx + dy * dy; } void wrapPath(const QList &perimeter, const QGeoCoordinate &geoLeftBound, const QGeoProjectionWebMercator &p, QList &wrappedPath, QList &wrappedPathMinus1, QList &wrappedPathPlus1, QDoubleVector2D *leftBoundWrapped) { QList path; for (const QGeoCoordinate &c : perimeter) path << p.geoToMapProjection(c); const QDoubleVector2D leftBound = p.geoToMapProjection(geoLeftBound); wrappedPath.clear(); wrappedPathPlus1.clear(); wrappedPathMinus1.clear(); // compute 3 sets of "wrapped" coordinates: one w regular mercator, one w regular mercator +- 1.0 for (QDoubleVector2D coord : path) { // We can get NaN if the map isn't set up correctly, or the projection // is faulty -- probably best thing to do is abort if (!qIsFinite(coord.x()) || !qIsFinite(coord.y())) return; const bool isPointLessThanUnwrapBelowX = (coord.x() < leftBound.x()); // unwrap x to preserve geometry if moved to border of map if (isPointLessThanUnwrapBelowX) coord.setX(coord.x() + 1.0); QDoubleVector2D coordP1(coord.x() + 1.0, coord.y()); QDoubleVector2D coordM1(coord.x() - 1.0, coord.y()); wrappedPath.append(coord); wrappedPathPlus1.append(coordP1); wrappedPathMinus1.append(coordM1); } if (leftBoundWrapped) *leftBoundWrapped = leftBound; } void wrapPath(const QList &perimeter, const QGeoCoordinate &geoLeftBound, const QGeoProjectionWebMercator &p, QList &wrappedPath, QDoubleVector2D *leftBoundWrapped) { QList path; for (const QGeoCoordinate &c : perimeter) path << p.geoToMapProjection(c); const QDoubleVector2D leftBound = p.geoToMapProjection(geoLeftBound); wrapPath(path, leftBound,wrappedPath); if (leftBoundWrapped) *leftBoundWrapped = leftBound; } void wrapPath(const QList &path, const QDoubleVector2D &geoLeftBound, QList &wrappedPath) { wrappedPath.clear(); // compute 3 sets of "wrapped" coordinates: one w regular mercator, one w regular mercator +- 1.0 for (QDoubleVector2D coord : path) { // We can get NaN if the map isn't set up correctly, or the projection // is faulty -- probably best thing to do is abort if (!qIsFinite(coord.x()) || !qIsFinite(coord.y())) return; const bool isPointLessThanUnwrapBelowX = (coord.x() < geoLeftBound.x()); // unwrap x to preserve geometry if moved to border of map if (isPointLessThanUnwrapBelowX) coord.setX(coord.x() + 1.0); wrappedPath.append(coord); } } void clipPolygon(const QList &wrappedPath, const QGeoProjectionWebMercator &p, QList> &clippedPaths, QDoubleVector2D *leftBoundWrapped, bool closed) { // 2) Clip bounding box clippedPaths.clear(); const QList &visibleRegion = p.projectableGeometry(); if (visibleRegion.size()) { QClipperUtils clipper; clipper.addSubjectPath(wrappedPath, closed); clipper.addClipPolygon(visibleRegion); clippedPaths = clipper.execute(QClipperUtils::Intersection, QClipperUtils::pftEvenOdd, QClipperUtils::pftEvenOdd); if (leftBoundWrapped) { // 2.1) update srcOrigin_ and leftBoundWrapped with the point with minimum X QDoubleVector2D lb(qInf(), qInf()); for (const QList &path : clippedPaths) { for (const QDoubleVector2D &p : path) { if (p.x() < lb.x() || (p.x() == lb.x() && p.y() < lb.y())) // y-minimization needed to find the same point on polygon and border lb = p; } } if (qIsInf(lb.x())) // e.g., when the polygon is clipped entirely return; // 2.2) Prevent the conversion to and from clipper from introducing tiny negative offsets which, // in turn will make the geometry wrap around. lb.setX(qMax(leftBoundWrapped->x(), lb.x())); *leftBoundWrapped = lb; // srcOrigin_ = p.mapProjectionToGeo(p.unwrapMapProjection(lb)); } } else { clippedPaths.append(wrappedPath); } } void projectBbox(const QList &clippedBbox, const QGeoProjectionWebMercator &p, QPainterPath &projectedBbox) { projectedBbox.clear(); bool first = true; for (const auto &coord : clippedBbox) { QDoubleVector2D point = p.wrappedMapProjectionToItemPosition(coord); if (first) { first = false; projectedBbox.moveTo(point.toPointF()); } else { projectedBbox.lineTo(point.toPointF()); } } projectedBbox.closeSubpath(); } QRectF boundingRectangleFromList(const QList &list) { double xMin = qInf(); double xMax = -qInf(); double yMin = qInf(); double yMax = -qInf(); for (const auto &coord : list) { xMin = qMin(xMin, coord.x()); xMax = qMax(xMax, coord.x()); yMin = qMin(yMin, coord.y()); yMax = qMax(yMax, coord.y()); } return QRectF(xMin, yMin, xMax - xMin, yMax - yMin); } QList greaterCirclePath(const QList &cornerPoints, greaterCirclePathForm form, int N) { QList path; if (cornerPoints.empty()) return path; path.reserve(N); //If the path has to be closed we include the first coordinate again at the end of the procedure qsizetype lineCount = cornerPoints.size() - ((form == OpenPath) ? 1 : 0); for (qsizetype i = 0; i < lineCount; i++) { path.append(cornerPoints.at(i)); const double p_lat = cornerPoints.at(i).latitude() / 180.0 * M_PI; //latitude point p in rad const double p_lon = cornerPoints.at(i).longitude() / 180.0 * M_PI; //longitude point p in rad const double q_lat = cornerPoints.at((i + 1) % cornerPoints.size()).latitude() / 180.0 * M_PI; //latitude point q in rad const double q_lon = cornerPoints.at((i + 1) % cornerPoints.size()).longitude() / 180.0 * M_PI;//longitude point q in rad const double c_p_lat = cos(p_lat); const double c_p_lon = cos(p_lon); const double s_p_lat = sin(p_lat); const double s_p_lon = sin(p_lon); const double c_q_lat = cos(q_lat); const double c_q_lon = cos(q_lon); const double s_q_lat = sin(q_lat); const double s_q_lon = sin(q_lon); const QDoubleVector3D p(c_p_lat * c_p_lon, c_p_lat * s_p_lon, s_p_lat); const QDoubleVector3D q(c_q_lat * c_q_lon, c_q_lat * s_q_lon, s_q_lat); const double qp = QDoubleVector3D::dotProduct(q, p); //scalar product of q p if (qp <= -1.0 || qp >= 1.0) continue; // the path from q to p will be parametrized as a combination of points p and q: // x = s*p + t*q. // We will then directly calculate the latitude and longitude of the interpolated point x // from the latitude and longitude of cornerpoints q and p. // The parameters s and t depend on each other to ensure that x is located on the // surface of the earth: s*s + 2*s*t*qp + t*t = 1 // Their minimum value is 0, as negative values indicate a path that goes around earth // long way. Their maximum value follows as const double paramMax = sqrt(1 / (1 - qp * qp)); double t = 0.0; for (int sign = 1; sign > -2.0; sign -= 2.0) { for (; t <= paramMax && t >= 0.0; t += sign * paramMax / N / 2) { // dependence between s and t requires a plus/minus // therefore we solve this equation two times with sign = -1/+1 const double s = - t * qp + sign * sqrt(t * t * (qp * qp - 1.0) + 1.0); if (s < 0.0) //s > paramMax will never happen. If s < 0 we are done. break; const double lat = asin(s * s_p_lat + t * s_q_lat); const double lon = atan2(s * c_p_lat * s_p_lon + t * c_q_lat * s_q_lon, s * c_p_lat * c_p_lon + t * c_q_lat * c_q_lon); path.append(QGeoCoordinate(lat * 180.0 / M_PI, lon * 180.0 / M_PI)); } t -= paramMax / N / 2; } } if (form == OpenPath) path.append(cornerPoints.last()); path.squeeze(); return path; } } // namespace QDeclarativeGeoMapItemUtils QT_END_NAMESPACE