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/****************************************************************************
**
** Copyright (C) 2015 The Qt Company Ltd.
** Contact: http://www.qt-project.org/legal
**
** This file is part of the QtPositioning module of the Qt Toolkit.
**
** $QT_BEGIN_LICENSE:LGPL21$
** 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 http://www.qt.io/terms-conditions. For further
** information use the contact form at http://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 2.1 or version 3 as published by the Free
** Software Foundation and appearing in the file LICENSE.LGPLv21 and
** LICENSE.LGPLv3 included in the packaging of this file. Please review the
** following information to ensure the GNU Lesser General Public License
** requirements will be met: https://www.gnu.org/licenses/lgpl.html and
** http://www.gnu.org/licenses/old-licenses/lgpl-2.1.html.
**
** As a special exception, The Qt Company gives you certain additional
** rights. These rights are described in The Qt Company LGPL Exception
** version 1.1, included in the file LGPL_EXCEPTION.txt in this package.
**
** $QT_END_LICENSE$
**
****************************************************************************/
#include "qgeoprojection_p.h"
#include "qgeocoordinate.h"
#include <qnumeric.h>
#include <cmath>
#include "qdoublevector2d_p.h"
#include "qdoublevector3d_p.h"
QT_BEGIN_NAMESPACE
QDoubleVector2D QGeoProjection::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 = qMax(0.0, lat);
lat = qMin(1.0, lat);
return QDoubleVector2D(lon, lat);
}
double QGeoProjection::realmod(const double a, const double b)
{
quint64 div = static_cast<quint64>(a / b);
return a - static_cast<double>(div) * b;
}
QGeoCoordinate QGeoProjection::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 QGeoProjection::coordinateInterpolation(const QGeoCoordinate &from, const QGeoCoordinate &to, qreal progress)
{
QDoubleVector2D s = QGeoProjection::coordToMercator(from);
QDoubleVector2D e = QGeoProjection::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 = QGeoProjection::mercatorToCoord(QDoubleVector2D(x, y));
result.setAltitude((1.0 - progress) * from.altitude() + progress * to.altitude());
return result;
}
QT_END_NAMESPACE
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