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+/****************************************************************************
+**
+** Copyright (C) 2011 Nokia Corporation and/or its subsidiary(-ies).
+** All rights reserved.
+** Contact: Nokia Corporation (qt-info@nokia.com)
+**
+** This file is part of the QtCore module of the Qt Toolkit.
+**
+** $QT_BEGIN_LICENSE:LGPL$
+** GNU Lesser General Public License Usage
+** This file may be used under the terms of the GNU Lesser General Public
+** License version 2.1 as published by the Free Software Foundation and
+** appearing in the file LICENSE.LGPL included in the packaging of this
+** file. Please review the following information to ensure the GNU Lesser
+** General Public License version 2.1 requirements will be met:
+** http://www.gnu.org/licenses/old-licenses/lgpl-2.1.html.
+**
+** In addition, as a special exception, Nokia gives you certain additional
+** rights. These rights are described in the Nokia Qt LGPL Exception
+** version 1.1, included in the file LGPL_EXCEPTION.txt in this package.
+**
+** GNU General Public License Usage
+** Alternatively, this file may be used under the terms of the GNU General
+** Public License version 3.0 as published by the Free Software Foundation
+** and appearing in the file LICENSE.GPL included in the packaging of this
+** file. Please review the following information to ensure the GNU General
+** Public License version 3.0 requirements will be met:
+** http://www.gnu.org/copyleft/gpl.html.
+**
+** Other Usage
+** Alternatively, this file may be used in accordance with the terms and
+** conditions contained in a signed written agreement between you and Nokia.
+**
+**
+**
+**
+**
+** $QT_END_LICENSE$
+**
+****************************************************************************/
+#include "projection3d_p.h"
+
+#include "qgeocoordinate.h"
+
+#include <QVector2D>
+#include <QVector3D>
+#include <QMatrix4x4>
+#include <qnumeric.h>
+
+#include <cmath>
+
+Projection3D::Projection3D(double radius)
+ : radius_(radius) {}
+
+Projection3D::~Projection3D() {}
+
+double Projection3D::radius() const
+{
+ return radius_;
+}
+
+QVector3D Projection3D::coordToPoint(const QGeoCoordinate &coord) const
+{
+ double r = radius_ + coord.altitude();
+
+ const double pi = M_PI;
+ double lonRad = pi * -1.0 * (coord.longitude() + 90.0) / 180.0;
+ double latRad = pi * (90.0 - coord.latitude()) / 180.0;
+
+ return QVector3D(r * cos(lonRad) * sin(latRad),
+ r * cos(latRad),
+ r * sin(lonRad) * sin(latRad));
+}
+
+QGeoCoordinate Projection3D::pointToCoord(const QVector3D &point) const
+{
+ const double pi = M_PI;
+
+ double alt = point.length();
+ double lat = 180.0 * acos(point.y() / alt) / pi;
+ double lon = 270.0 - (180.0 * atan2(point.z(), point.x()) / pi);
+
+ if (lon < -180.0)
+ lon += 360.0;
+ if (lon >= 180.0)
+ lon -= 360.0;
+
+ return QGeoCoordinate(90.0 - lat, lon, alt);
+}
+
+QGeoCoordinate Projection3D::interpolate(const QGeoCoordinate &start, const QGeoCoordinate &end, qreal progress)
+{
+ if (start == end) {
+ if (progress < 0.5) {
+ return start;
+ } else {
+ return end;
+ }
+ }
+
+ QGeoCoordinate s2 = start;
+ s2.setAltitude(0.0);
+ QGeoCoordinate e2 = end;
+ e2.setAltitude(0.0);
+ QVector3D s = coordToPoint(s2).normalized();
+ QVector3D e = coordToPoint(e2).normalized();
+
+ double dot = QVector3D::dotProduct(s, e);
+ const double pi = M_PI;
+ double angle = 180.0 * acos(dot) / pi;
+ if (qFuzzyCompare(qAbs(dot), 1.0) || qIsNaN(angle)) { // qIsNan is extra check, fuzzy compare is sometimes too 'loose'
+ if (progress < 0.5) {
+ return start;
+ } else {
+ return end;
+ }
+ }
+
+ QVector3D axis = QVector3D::crossProduct(s, e);
+ QMatrix4x4 mRot;
+ mRot.rotate(angle * progress, axis);
+ QVector3D p = mRot * s;
+
+ QGeoCoordinate result = pointToCoord(p);
+ result.setAltitude((1.0 - progress) * start.altitude() + progress * end.altitude());
+ return result;
+}
+