use double precision calculations instead of mixing double and float
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@@ -81,7 +81,7 @@ void FixedPointCoordinate::output(std::ostream &out) const
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out << "(" << lat / COORDINATE_PRECISION << "," << lon / COORDINATE_PRECISION << ")";
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}
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float FixedPointCoordinate::bearing(const FixedPointCoordinate &other) const
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double FixedPointCoordinate::bearing(const FixedPointCoordinate &other) const
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{
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return coordinate_calculation::bearing(other, *this);
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}
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@@ -40,10 +40,10 @@ SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
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namespace
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{
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constexpr static const float RAD = 0.017453292519943295769236907684886f;
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constexpr static const double RAD = 0.017453292519943295769236907684886;
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// earth radius varies between 6,356.750-6,378.135 km (3,949.901-3,963.189mi)
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// The IUGG value for the equatorial radius is 6378.137 km (3963.19 miles)
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constexpr static const float earth_radius = 6372797.560856f;
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constexpr static const double earth_radius = 6372797.560856;
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}
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namespace coordinate_calculation
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@@ -84,14 +84,14 @@ double haversine_distance(const FixedPointCoordinate &coordinate_1,
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coordinate_2.lon);
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}
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float great_circle_distance(const FixedPointCoordinate &coordinate_1,
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double great_circle_distance(const FixedPointCoordinate &coordinate_1,
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const FixedPointCoordinate &coordinate_2)
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{
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return great_circle_distance(coordinate_1.lat, coordinate_1.lon, coordinate_2.lat,
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coordinate_2.lon);
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}
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float great_circle_distance(const int lat1,
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double great_circle_distance(const int lat1,
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const int lon1,
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const int lat2,
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const int lon2)
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@@ -101,32 +101,32 @@ float great_circle_distance(const int lat1,
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BOOST_ASSERT(lat2 != std::numeric_limits<int>::min());
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BOOST_ASSERT(lon2 != std::numeric_limits<int>::min());
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const float float_lat1 = (lat1 / COORDINATE_PRECISION) * RAD;
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const float float_lon1 = (lon1 / COORDINATE_PRECISION) * RAD;
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const float float_lat2 = (lat2 / COORDINATE_PRECISION) * RAD;
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const float float_lon2 = (lon2 / COORDINATE_PRECISION) * RAD;
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const double float_lat1 = (lat1 / COORDINATE_PRECISION) * RAD;
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const double float_lon1 = (lon1 / COORDINATE_PRECISION) * RAD;
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const double float_lat2 = (lat2 / COORDINATE_PRECISION) * RAD;
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const double float_lon2 = (lon2 / COORDINATE_PRECISION) * RAD;
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const float x_value = (float_lon2 - float_lon1) * std::cos((float_lat1 + float_lat2) / 2.f);
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const float y_value = float_lat2 - float_lat1;
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const double x_value = (float_lon2 - float_lon1) * std::cos((float_lat1 + float_lat2) / 2.0);
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const double y_value = float_lat2 - float_lat1;
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return std::hypot(x_value, y_value) * earth_radius;
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}
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float perpendicular_distance(const FixedPointCoordinate &source_coordinate,
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double perpendicular_distance(const FixedPointCoordinate &source_coordinate,
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const FixedPointCoordinate &target_coordinate,
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const FixedPointCoordinate &query_location)
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{
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float ratio;
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double ratio;
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FixedPointCoordinate nearest_location;
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return perpendicular_distance(source_coordinate, target_coordinate, query_location,
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nearest_location, ratio);
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}
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float perpendicular_distance(const FixedPointCoordinate &segment_source,
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double perpendicular_distance(const FixedPointCoordinate &segment_source,
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const FixedPointCoordinate &segment_target,
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const FixedPointCoordinate &query_location,
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FixedPointCoordinate &nearest_location,
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float &ratio)
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double &ratio)
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{
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return perpendicular_distance_from_projected_coordinate(
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segment_source, segment_target, query_location,
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@@ -135,13 +135,13 @@ float perpendicular_distance(const FixedPointCoordinate &segment_source,
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nearest_location, ratio);
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}
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float perpendicular_distance_from_projected_coordinate(
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double perpendicular_distance_from_projected_coordinate(
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const FixedPointCoordinate &source_coordinate,
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const FixedPointCoordinate &target_coordinate,
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const FixedPointCoordinate &query_location,
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const std::pair<double, double> &projected_coordinate)
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{
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float ratio;
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double ratio;
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FixedPointCoordinate nearest_location;
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return perpendicular_distance_from_projected_coordinate(source_coordinate, target_coordinate,
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@@ -149,13 +149,13 @@ float perpendicular_distance_from_projected_coordinate(
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nearest_location, ratio);
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}
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float perpendicular_distance_from_projected_coordinate(
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double perpendicular_distance_from_projected_coordinate(
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const FixedPointCoordinate &segment_source,
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const FixedPointCoordinate &segment_target,
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const FixedPointCoordinate &query_location,
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const std::pair<double, double> &projected_coordinate,
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FixedPointCoordinate &nearest_location,
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float &ratio)
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double &ratio)
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{
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BOOST_ASSERT(query_location.is_valid());
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@@ -171,7 +171,7 @@ float perpendicular_distance_from_projected_coordinate(
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{
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const double m = (d - b) / (c - a); // slope
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// Projection of (x,y) on line joining (a,b) and (c,d)
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p = ((x + (m * y)) + (m * m * a - m * b)) / (1.f + m * m);
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p = ((x + (m * y)) + (m * m * a - m * b)) / (1.0 + m * m);
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q = b + m * (p - a);
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}
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else
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@@ -182,36 +182,36 @@ float perpendicular_distance_from_projected_coordinate(
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nY = (d * p - c * q) / (a * d - b * c);
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// discretize the result to coordinate precision. it's a hack!
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if (std::abs(nY) < (1.f / COORDINATE_PRECISION))
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if (std::abs(nY) < (1.0 / COORDINATE_PRECISION))
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{
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nY = 0.f;
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nY = 0.0;
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}
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// compute ratio
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ratio =
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static_cast<float>((p - nY * a) / c); // These values are actually n/m+n and m/m+n , we need
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static_cast<double>((p - nY * a) / c); // These values are actually n/m+n and m/m+n , we need
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// not calculate the explicit values of m an n as we
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// are just interested in the ratio
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if (std::isnan(ratio))
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{
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ratio = (segment_target == query_location ? 1.f : 0.f);
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ratio = (segment_target == query_location ? 1.0 : 0.0);
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}
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else if (std::abs(ratio) <= std::numeric_limits<float>::epsilon())
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else if (std::abs(ratio) <= std::numeric_limits<double>::epsilon())
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{
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ratio = 0.f;
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ratio = 0.0;
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}
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else if (std::abs(ratio - 1.f) <= std::numeric_limits<float>::epsilon())
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else if (std::abs(ratio - 1.0) <= std::numeric_limits<double>::epsilon())
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{
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ratio = 1.f;
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ratio = 1.0;
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}
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// compute nearest location
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BOOST_ASSERT(!std::isnan(ratio));
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if (ratio <= 0.f)
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if (ratio <= 0.0)
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{
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nearest_location = segment_source;
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}
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else if (ratio >= 1.f)
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else if (ratio >= 1.0)
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{
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nearest_location = segment_target;
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}
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@@ -223,9 +223,9 @@ float perpendicular_distance_from_projected_coordinate(
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}
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BOOST_ASSERT(nearest_location.is_valid());
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const float approximate_distance =
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const double approximate_distance =
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great_circle_distance(query_location, nearest_location);
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BOOST_ASSERT(0.f <= approximate_distance);
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BOOST_ASSERT(0.0 <= approximate_distance);
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return approximate_distance;
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}
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@@ -236,36 +236,36 @@ void lat_or_lon_to_string(const int value, std::string &output)
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output = printInt<11, 6>(buffer, value);
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}
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float deg_to_rad(const float degree)
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double deg_to_rad(const double degree)
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{
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return degree * (static_cast<float>(M_PI) / 180.f);
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return degree * (static_cast<double>(M_PI) / 180.0);
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}
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float rad_to_deg(const float radian)
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double rad_to_deg(const double radian)
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{
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return radian * (180.f * static_cast<float>(M_1_PI));
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return radian * (180.0 * static_cast<double>(M_1_PI));
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}
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float bearing(const FixedPointCoordinate &first_coordinate,
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double bearing(const FixedPointCoordinate &first_coordinate,
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const FixedPointCoordinate &second_coordinate)
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{
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const float lon_diff =
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const double lon_diff =
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second_coordinate.lon / COORDINATE_PRECISION - first_coordinate.lon / COORDINATE_PRECISION;
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const float lon_delta = deg_to_rad(lon_diff);
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const float lat1 = deg_to_rad(first_coordinate.lat / COORDINATE_PRECISION);
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const float lat2 = deg_to_rad(second_coordinate.lat / COORDINATE_PRECISION);
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const float y = std::sin(lon_delta) * std::cos(lat2);
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const float x =
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const double lon_delta = deg_to_rad(lon_diff);
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const double lat1 = deg_to_rad(first_coordinate.lat / COORDINATE_PRECISION);
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const double lat2 = deg_to_rad(second_coordinate.lat / COORDINATE_PRECISION);
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const double y = std::sin(lon_delta) * std::cos(lat2);
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const double x =
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std::cos(lat1) * std::sin(lat2) - std::sin(lat1) * std::cos(lat2) * std::cos(lon_delta);
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float result = rad_to_deg(std::atan2(y, x));
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while (result < 0.f)
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double result = rad_to_deg(std::atan2(y, x));
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while (result < 0.0)
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{
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result += 360.f;
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result += 360.0;
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}
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while (result >= 360.f)
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while (result >= 360.0)
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{
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result -= 360.f;
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result -= 360.0;
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}
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return result;
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}
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