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/*
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Copyright (c) 2013, Project OSRM, Dennis Luxen, others
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All rights reserved.
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Redistribution and use in source and binary forms, with or without modification,
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are permitted provided that the following conditions are met:
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Redistributions of source code must retain the above copyright notice, this list
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of conditions and the following disclaimer.
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Redistributions in binary form must reproduce the above copyright notice, this
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list of conditions and the following disclaimer in the documentation and/or
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other materials provided with the distribution.
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THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND
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ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED
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WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE
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DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR
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ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES
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(INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
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LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON
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ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
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(INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
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SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
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*/
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#ifndef COMPUTE_ANGLE_H
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#define COMPUTE_ANGLE_H
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#include <boost/assert.hpp>
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#include <cmath>
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#include "../DataStructures/Coordinate.h"
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#include "../Util/MercatorUtil.h"
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/* Get angle of line segment (A,C)->(C,B), atan2 magic, formerly cosine theorem*/
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template<class CoordinateT>
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inline static double GetAngleBetweenThreeFixedPointCoordinates (
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const CoordinateT & A,
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const CoordinateT & C,
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const CoordinateT & B
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) {
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const double v1x = (A.lon - C.lon)/COORDINATE_PRECISION;
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const double v1y = lat2y(A.lat/COORDINATE_PRECISION) - lat2y(C.lat/COORDINATE_PRECISION);
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const double v2x = (B.lon - C.lon)/COORDINATE_PRECISION;
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const double v2y = lat2y(B.lat/COORDINATE_PRECISION) - lat2y(C.lat/COORDINATE_PRECISION);
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double angle = (atan2(v2y,v2x) - atan2(v1y,v1x) )*180/M_PI;
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while(angle < 0)
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angle += 360;
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return angle;
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}
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#endif // COMPUTE_ANGLE_H
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@@ -0,0 +1,45 @@
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/*
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Copyright (c) 2013, Project OSRM, Dennis Luxen, others
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All rights reserved.
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Redistribution and use in source and binary forms, with or without modification,
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are permitted provided that the following conditions are met:
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Redistributions of source code must retain the above copyright notice, this list
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of conditions and the following disclaimer.
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Redistributions in binary form must reproduce the above copyright notice, this
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list of conditions and the following disclaimer in the documentation and/or
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other materials provided with the distribution.
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THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND
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ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED
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WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE
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DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR
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ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES
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(INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
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LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON
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ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
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(INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
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SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
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*/
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#ifndef MERCATORUTIL_H_
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#define MERCATORUTIL_H_
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#include <cmath>
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#ifndef M_PI
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#define M_PI 3.14159265358979323846
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#endif
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inline double y2lat(double a) {
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return 180./M_PI * (2. * atan(exp(a*M_PI/180.)) - M_PI/2.);
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}
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inline double lat2y(double a) {
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return 180./M_PI * log(tan(M_PI/4.+a*(M_PI/180.)/2.));
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}
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#endif /* MERCATORUTIL_H_ */
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