/**************************************************************************** ** ** Copyright (C) 2016 The Qt Company Ltd. ** Contact: https://www.qt.io/licensing/ ** ** This file is part of the QtPositioning module of the Qt Toolkit. ** ** $QT_BEGIN_LICENSE:LGPL$ ** Commercial License Usage ** Licensees holding valid commercial Qt licenses may use this file in ** accordance with the commercial license agreement provided with the ** Software or, alternatively, in accordance with the terms contained in ** a written agreement between you and The Qt Company. For licensing terms ** and conditions see https://www.qt.io/terms-conditions. For further ** information use the contact form at https://www.qt.io/contact-us. ** ** GNU Lesser General Public License Usage ** Alternatively, this file may be used under the terms of the GNU Lesser ** General Public License version 3 as published by the Free Software ** Foundation and appearing in the file LICENSE.LGPL3 included in the ** packaging of this file. Please review the following information to ** ensure the GNU Lesser General Public License version 3 requirements ** will be met: https://www.gnu.org/licenses/lgpl-3.0.html. ** ** GNU General Public License Usage ** Alternatively, this file may be used under the terms of the GNU ** General Public License version 2.0 or (at your option) the GNU General ** Public license version 3 or any later version approved by the KDE Free ** Qt Foundation. The licenses are as published by the Free Software ** Foundation and appearing in the file LICENSE.GPL2 and LICENSE.GPL3 ** included in the packaging of this file. Please review the following ** information to ensure the GNU General Public License requirements will ** be met: https://www.gnu.org/licenses/gpl-2.0.html and ** https://www.gnu.org/licenses/gpl-3.0.html. ** ** $QT_END_LICENSE$ ** ****************************************************************************/ #include "qwebmercator_p.h" #include "qgeocoordinate.h" #include #include #include "qdoublevector2d_p.h" #include "qdoublevector3d_p.h" QT_BEGIN_NAMESPACE QDoubleVector2D QWebMercator::coordToMercator(const QGeoCoordinate &coord) { const double pi = M_PI; double lon = coord.longitude() / 360.0 + 0.5; double lat = coord.latitude(); lat = 0.5 - (std::log(std::tan((pi / 4.0) + (pi / 2.0) * lat / 180.0)) / pi) / 2.0; lat = qBound(0.0, lat, 1.0); return QDoubleVector2D(lon, lat); } double QWebMercator::realmod(const double a, const double b) { quint64 div = static_cast(a / b); return a - static_cast(div) * b; } QGeoCoordinate QWebMercator::mercatorToCoord(const QDoubleVector2D &mercator) { const double pi = M_PI; double fx = mercator.x(); double fy = mercator.y(); if (fy < 0.0) fy = 0.0; else if (fy > 1.0) fy = 1.0; double lat; if (fy == 0.0) lat = 90.0; else if (fy == 1.0) lat = -90.0; else lat = (180.0 / pi) * (2.0 * std::atan(std::exp(pi * (1.0 - 2.0 * fy))) - (pi / 2.0)); double lng; if (fx >= 0) { lng = realmod(fx, 1.0); } else { lng = realmod(1.0 - realmod(-1.0 * fx, 1.0), 1.0); } lng = lng * 360.0 - 180.0; return QGeoCoordinate(lat, lng, 0.0); } QGeoCoordinate QWebMercator::mercatorToCoordClamped(const QDoubleVector2D &mercator) { double fx = mercator.x(); double fy = mercator.y(); if (fy < 0.0) fy = 0.0; else if (fy > 1.0) fy = 1.0; double lat = qRadiansToDegrees(2.0 * std::atan(std::exp(M_PI * (1.0 - 2.0 * fy))) - (M_PI / 2.0)); double lng; if (fx >= 0) { lng = realmod(fx, 1.0); } else { lng = realmod(1.0 - realmod(-1.0 * fx, 1.0), 1.0); } lng = lng * 360.0 - 180.0; return QGeoCoordinate(lat, lng, 0.0); } QGeoCoordinate QWebMercator::coordinateInterpolation(const QGeoCoordinate &from, const QGeoCoordinate &to, qreal progress) { QDoubleVector2D s = QWebMercator::coordToMercator(from); QDoubleVector2D e = QWebMercator::coordToMercator(to); double x = s.x(); if (0.5 < qAbs(e.x() - s.x())) { // handle dateline crossing double ex = e.x(); double sx = s.x(); if (ex < sx) sx -= 1.0; else if (sx < ex) ex -= 1.0; x = (1.0 - progress) * sx + progress * ex; if (!qFuzzyIsNull(x) && (x < 0.0)) x += 1.0; } else { x = (1.0 - progress) * s.x() + progress * e.x(); } double y = (1.0 - progress) * s.y() + progress * e.y(); QGeoCoordinate result = QWebMercator::mercatorToCoord(QDoubleVector2D(x, y)); result.setAltitude((1.0 - progress) * from.altitude() + progress * to.altitude()); return result; } QT_END_NAMESPACE