1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
|
/****************************************************************************
**
** 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 <qnumeric.h>
#include <qmath.h>
#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<quint64>(a / b);
return a - static_cast<double>(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::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
|
