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+/****************************************************************************
+**
+** Qt adaptation of geosimplify-js
+** Copyright (C) 2017 Daniel Patterson
+** See 3rdParty/geosimplify.js for the original license.
+**
+** Copyright (C) 2020 Paolo Angelelli <paolo.angelelli@gmail.com>
+** Copyright (C) 2022 The Qt Company Ltd.
+** Contact: https://www.qt.io/licensing/
+**
+** This file is part of the QtLocation 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 "qgeosimplify_p.h"
+#include <QtPositioning/private/qlocationutils_p.h>
+#include <QtPositioning/private/qdoublevector2d_p.h>
+#include <QtPositioning/private/qwebmercator_p.h>
+
+QT_BEGIN_NAMESPACE
+
+namespace {
+
+// p, a and b are intended as "unwrapped" around the left bound
+inline QDoubleVector2D closestPoint(const QDoubleVector2D &p,
+ const QDoubleVector2D &a,
+ const QDoubleVector2D &b)
+{
+ if (a == b)
+ return a;
+
+ const double u = ((p.x() - a.x()) * (b.x() - a.x()) + (p.y() - a.y()) * (b.y() - a.y()))
+ / (b - a).lengthSquared();
+ const QDoubleVector2D intersection(a.x() + u * (b.x() - a.x()) , a.y() + u * (b.y() - a.y()));
+ QDoubleVector2D candidate = ((p - a).length() < (p - b).length()) ? a : b;
+ if (u > 0 && u < 1
+ && (p - intersection).length() < (p - candidate).length()) { // And it falls in the segment
+ candidate = intersection;
+ }
+ return candidate;
+}
+
+inline double getDist(QDoubleVector2D a, QDoubleVector2D b, double leftBound)
+{
+ if (a.x() > 1.0)
+ a.setX(a.x() - leftBound); // wrap X
+ if (b.x() > 1.0)
+ b.setX(b.x() - leftBound); // wrap X
+ return QWebMercator::mercatorToCoord(a).distanceTo(QWebMercator::mercatorToCoord(b));
+}
+
+// doublevectors Intended as wrapped
+inline double getSegDist(const QDoubleVector2D &p,
+ const QDoubleVector2D &a,
+ const QDoubleVector2D &b,
+ double leftBound)
+{
+ const QDoubleVector2D intersection = closestPoint(p, a, b);
+ return getDist(intersection, p, leftBound);
+}
+
+inline QGeoCoordinate unwrappedToGeo(QDoubleVector2D p, double leftBound)
+{
+ if (p.x() > 1.0)
+ p.setX(p.x() - leftBound);
+ return QWebMercator::mercatorToCoord(p);
+}
+
+double pixelDistanceAtZoomAndLatitude(int zoom, double latitude)
+{
+ const double den = double((1 << (zoom + 8)));
+ const double pixelDist = (QLocationUtils::earthMeanCircumference()
+ * std::cos(QLocationUtils::radians(latitude)))
+ / den;
+ return pixelDist;
+}
+
+// simplification using Ramer-Douglas-Peucker algorithm
+void simplifyDouglasPeuckerStepZL(const QList<QDoubleVector2D> &points, double leftBound,
+ qsizetype first, qsizetype last, int zoomLevel,
+ QList<QDoubleVector2D> &simplified)
+{
+ const QGeoCoordinate firstC = unwrappedToGeo(points.at(first), leftBound);
+ const QGeoCoordinate lastC = unwrappedToGeo(points.at(last), leftBound);
+ double maxDistanceFound = (pixelDistanceAtZoomAndLatitude(zoomLevel, firstC.latitude())
+ + pixelDistanceAtZoomAndLatitude(zoomLevel, lastC.latitude())) * 0.5;
+ qsizetype index = -1;
+
+ const auto &firstPoint = points.at(first);
+ const auto &lastPoint = points.at(last);
+ for (qsizetype i = first + 1; i < last; i++) {
+ const double distance = getSegDist(points.at(i),
+ firstPoint,
+ lastPoint,
+ leftBound);
+
+ if (distance > maxDistanceFound) {
+ index = i;
+ maxDistanceFound = distance;
+ }
+ }
+
+ if (index > 0) {
+ if (index - first > 1) {
+ simplifyDouglasPeuckerStepZL(points, leftBound,
+ first, index, zoomLevel,
+ simplified);
+ }
+ simplified.append(points.at(index));
+ if (last - index > 1) {
+ simplifyDouglasPeuckerStepZL(points, leftBound,
+ index, last, zoomLevel,
+ simplified);
+ }
+ }
+}
+
+} // anonymous namespace
+
+namespace QGeoSimplify {
+
+QList<QDoubleVector2D> geoSimplifyZL(const QList<QDoubleVector2D> &points,
+ double leftBound, int zoomLevel)
+{
+ if (points.size() <= 2)
+ return points;
+
+ const qsizetype last = points.size() - 1;
+ QList<QDoubleVector2D> simplified { points.first() };
+ simplifyDouglasPeuckerStepZL(points, leftBound, 0, last, zoomLevel, simplified);
+ simplified.append(points.at(last));
+ return simplified;
+}
+
+}
+
+QT_END_NAMESPACE