Work on an azimuthal project mode for the map, to improve behaviour in polar regions. Disabled for now since performance is extremely poor.
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2 changed files with 40 additions and 10 deletions
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@ -387,7 +387,8 @@ MapWidget::MapWidget(int x, int y, int maxX, int maxY) :
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_width = maxX - x;
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_height = maxY - y;
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_hasPanned = false;
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_orthoAzimuthProject = false;
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MapData::setFont(legendFont);
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MapData::setPalette(colour);
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@ -1446,13 +1447,30 @@ void MapWidget::drawAIShip(const SGPropertyNode* model, const SGGeod& pos, doubl
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SGVec2d MapWidget::project(const SGGeod& geod) const
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{
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// Sanson-Flamsteed projection, relative to the projection center
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SGVec2d p;
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double r = earth_radius_lat(geod.getLatitudeRad());
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double lonDiff = geod.getLongitudeRad() - _projectionCenter.getLongitudeRad(),
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latDiff = geod.getLatitudeRad() - _projectionCenter.getLatitudeRad();
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SGVec2d p = SGVec2d(cos(geod.getLatitudeRad()) * lonDiff, latDiff) * r * currentScale();
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if (_orthoAzimuthProject) {
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// http://mathworld.wolfram.com/OrthographicProjection.html
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double cosTheta = cos(geod.getLatitudeRad());
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double sinDLambda = sin(geod.getLongitudeRad() - _projectionCenter.getLongitudeRad());
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double cosDLambda = cos(geod.getLongitudeRad() - _projectionCenter.getLongitudeRad());
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double sinTheta1 = sin(_projectionCenter.getLatitudeRad());
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double sinTheta = sin(geod.getLatitudeRad());
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double cosTheta1 = cos(_projectionCenter.getLatitudeRad());
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p = SGVec2d(cosTheta * sinDLambda,
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(cosTheta1 * sinTheta) - (sinTheta1 * cosTheta * cosDLambda)) * r * currentScale();
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} else {
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// Sanson-Flamsteed projection, relative to the projection center
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double lonDiff = geod.getLongitudeRad() - _projectionCenter.getLongitudeRad(),
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latDiff = geod.getLatitudeRad() - _projectionCenter.getLatitudeRad();
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p = SGVec2d(cos(geod.getLatitudeRad()) * lonDiff, latDiff) * r * currentScale();
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}
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// rotate as necessary
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double cost = cos(_upHeading * SG_DEGREES_TO_RADIANS),
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sint = sin(_upHeading * SG_DEGREES_TO_RADIANS);
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@ -1472,10 +1490,21 @@ SGGeod MapWidget::unproject(const SGVec2d& p) const
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double r = earth_radius_lat(_projectionCenter.getLatitudeRad());
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SGVec2d unscaled = ur * (1.0 / (currentScale() * r));
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double lat = unscaled.y() + _projectionCenter.getLatitudeRad();
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double lon = (unscaled.x() / cos(lat)) + _projectionCenter.getLongitudeRad();
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return SGGeod::fromRad(lon, lat);
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if (_orthoAzimuthProject) {
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double phi = length(p);
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double c = asin(phi);
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double sinTheta1 = sin(_projectionCenter.getLatitudeRad());
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double cosTheta1 = cos(_projectionCenter.getLatitudeRad());
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double lat = asin(cos(c) * sinTheta1 + ((unscaled.y() * sin(c) * cosTheta1) / phi));
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double lon = _projectionCenter.getLongitudeRad() +
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atan((unscaled.x()* sin(c)) / (phi * cosTheta1 * cos(c) - unscaled.y() * sinTheta1 * sin(c)));
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return SGGeod::fromRad(lon, lat);
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} else {
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double lat = unscaled.y() + _projectionCenter.getLatitudeRad();
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double lon = (unscaled.x() / cos(lat)) + _projectionCenter.getLongitudeRad();
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return SGGeod::fromRad(lon, lat);
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}
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}
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double MapWidget::currentScale() const
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@ -94,6 +94,7 @@ private:
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bool _hasPanned;
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SGGeod _projectionCenter;
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bool _orthoAzimuthProject;
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SGGeod _aircraft;
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SGGeod _clickGeod;
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SGVec2d _hitLocation;
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