Fix distance calculation consistency. (#6315)

Consolidate great circle distance calculations to use cheap ruler library.
This commit is contained in:
Siarhei Fedartsou
2022-08-19 23:31:40 +02:00
committed by GitHub
parent 8f0cd5cf7b
commit aadc088084
84 changed files with 780 additions and 683 deletions
+4 -2
View File
@@ -25,7 +25,8 @@ std::pair<short, short> getDepartBearings(const LegGeometry &leg_geometry,
const auto turn_coordinate = leg_geometry.locations.front();
const auto post_turn_coordinate = *(leg_geometry.locations.begin() + 1);
if (util::coordinate_calculation::haversineDistance(turn_coordinate, post_turn_coordinate) <= 1)
if (util::coordinate_calculation::greatCircleDistance(turn_coordinate, post_turn_coordinate) <=
1)
{
return std::make_pair<short, short>(0, source_node.GetBearing(traversed_in_reverse));
}
@@ -41,7 +42,8 @@ std::pair<short, short> getArriveBearings(const LegGeometry &leg_geometry,
BOOST_ASSERT(leg_geometry.locations.size() >= 2);
const auto turn_coordinate = leg_geometry.locations.back();
const auto pre_turn_coordinate = *(leg_geometry.locations.end() - 2);
if (util::coordinate_calculation::haversineDistance(turn_coordinate, pre_turn_coordinate) <= 1)
if (util::coordinate_calculation::greatCircleDistance(turn_coordinate, pre_turn_coordinate) <=
1)
{
return std::make_pair<short, short>(target_node.GetBearing(traversed_in_reverse), 0);
}
+4 -4
View File
@@ -263,7 +263,7 @@ void trimShortSegments(std::vector<RouteStep> &steps, LegGeometry &geometry)
BOOST_ASSERT(geometry.locations.size() >= steps.size());
// Look for distances under 1m
const bool zero_length_step = steps.front().distance <= 1 && steps.size() > 2;
const bool duplicated_coordinate = util::coordinate_calculation::haversineDistance(
const bool duplicated_coordinate = util::coordinate_calculation::greatCircleDistance(
geometry.locations[0], geometry.locations[1]) <= 1;
if (zero_length_step || duplicated_coordinate)
{
@@ -406,7 +406,7 @@ void trimShortSegments(std::vector<RouteStep> &steps, LegGeometry &geometry)
next_to_last_step.mode = new_next_to_last.mode;
// the geometry indices of the last step are already correct;
}
else if (util::coordinate_calculation::haversineDistance(
else if (util::coordinate_calculation::greatCircleDistance(
geometry.locations[geometry.locations.size() - 2],
geometry.locations[geometry.locations.size() - 1]) <= 1)
{
@@ -463,7 +463,7 @@ std::vector<RouteStep> assignRelativeLocations(std::vector<RouteStep> steps,
BOOST_ASSERT(steps.size() >= 2);
BOOST_ASSERT(leg_geometry.locations.size() >= 2);
const constexpr double MINIMAL_RELATIVE_DISTANCE = 5., MAXIMAL_RELATIVE_DISTANCE = 300.;
const auto distance_to_start = util::coordinate_calculation::haversineDistance(
const auto distance_to_start = util::coordinate_calculation::greatCircleDistance(
source_node.input_location, leg_geometry.locations[0]);
const auto initial_modifier =
distance_to_start >= MINIMAL_RELATIVE_DISTANCE &&
@@ -474,7 +474,7 @@ std::vector<RouteStep> assignRelativeLocations(std::vector<RouteStep> steps,
steps.front().maneuver.instruction.direction_modifier = initial_modifier;
const auto distance_from_end = util::coordinate_calculation::haversineDistance(
const auto distance_from_end = util::coordinate_calculation::greatCircleDistance(
target_node.input_location, leg_geometry.locations.back());
const auto final_modifier =
distance_from_end >= MINIMAL_RELATIVE_DISTANCE &&
+2 -2
View File
@@ -116,9 +116,9 @@ Status TablePlugin::HandleRequest(const RoutingAlgorithmsInterface &algorithms,
auto distance_estimate =
params.fallback_coordinate_type ==
api::TableParameters::FallbackCoordinateType::Input
? util::coordinate_calculation::fccApproximateDistance(
? util::coordinate_calculation::greatCircleDistance(
source.input_location, destination.input_location)
: util::coordinate_calculation::fccApproximateDistance(
: util::coordinate_calculation::greatCircleDistance(
source.location, destination.location);
result_tables_pair.first[table_index] =
+1 -1
View File
@@ -464,7 +464,7 @@ void encodeVectorTile(const DataFacadeBase &facade,
const auto b = facade.GetCoordinateOfNode(edge.v);
// Calculate the length in meters
const double length =
osrm::util::coordinate_calculation::haversineDistance(a, b);
osrm::util::coordinate_calculation::greatCircleDistance(a, b);
const auto forward_weight_range =
facade.GetUncompressedForwardWeights(geometry_id);
@@ -137,7 +137,7 @@ Parameters parametersFromRequest(const PhantomNodes &phantom_node_pair)
{
Parameters parameters;
const auto distance = util::coordinate_calculation::haversineDistance(
const auto distance = util::coordinate_calculation::greatCircleDistance(
phantom_node_pair.source_phantom.location, phantom_node_pair.target_phantom.location);
// 10km
@@ -214,7 +214,7 @@ SubMatchingList mapMatching(SearchEngineData<Algorithm> &engine_working_data,
const auto &current_timestamps_list = candidates_list[t];
const auto &current_coordinate = trace_coordinates[t];
const auto haversine_distance = util::coordinate_calculation::haversineDistance(
const auto haversine_distance = util::coordinate_calculation::greatCircleDistance(
prev_coordinate, current_coordinate);
// assumes minumum of 4 m/s
const EdgeWeight weight_upper_bound =
@@ -424,7 +424,7 @@ SubMatchingList mapMatching(SearchEngineData<Algorithm> &engine_working_data,
reconstructed_indices,
[&trace_distance, &trace_coordinates](const std::pair<std::size_t, std::size_t> &prev,
const std::pair<std::size_t, std::size_t> &curr) {
trace_distance += util::coordinate_calculation::haversineDistance(
trace_distance += util::coordinate_calculation::greatCircleDistance(
trace_coordinates[prev.first], trace_coordinates[curr.first]);
});
+1 -1
View File
@@ -434,7 +434,7 @@ void ExtractionContainers::PrepareEdges(ScriptingEnvironment &scripting_environm
const auto duration = edge_iterator->duration_data(distance);
const auto accurate_distance =
util::coordinate_calculation::fccApproximateDistance(source_coord, target_coord);
util::coordinate_calculation::greatCircleDistance(source_coord, target_coord);
ExtractionSegment segment(source_coord, target_coord, distance, weight, duration);
scripting_environment.ProcessSegment(segment);
@@ -146,12 +146,12 @@ util::Coordinate CoordinateExtractor::ExtractRepresentativeCoordinate(
// do the best of what we can.
coordinates =
TrimCoordinatesToLength(std::move(coordinates), LOOKAHEAD_DISTANCE_WITHOUT_LANES);
if (coordinates.size() > 2 && util::coordinate_calculation::haversineDistance(
if (coordinates.size() > 2 && util::coordinate_calculation::greatCircleDistance(
turn_coordinate, coordinates[1]) < ASSUMED_LANE_WIDTH)
{
const auto initial_distance =
util::coordinate_calculation::haversineDistance(turn_coordinate, coordinates[1]);
const auto total_distance = util::coordinate_calculation::haversineDistance(
util::coordinate_calculation::greatCircleDistance(turn_coordinate, coordinates[1]);
const auto total_distance = util::coordinate_calculation::greatCircleDistance(
turn_coordinate, coordinates.back());
if (initial_distance > ASSUMED_LANE_WIDTH && total_distance > initial_distance)
@@ -169,7 +169,7 @@ util::Coordinate CoordinateExtractor::ExtractRepresentativeCoordinate(
}
const auto first_distance =
util::coordinate_calculation::haversineDistance(coordinates[0], coordinates[1]);
util::coordinate_calculation::greatCircleDistance(coordinates[0], coordinates[1]);
// the lane count might not always be set. We need to assume a positive number, though. Here we
// select the number of lanes to operate on
@@ -369,7 +369,7 @@ util::Coordinate CoordinateExtractor::ExtractRepresentativeCoordinate(
std::move(coordinates), 3 * skipping_inaccuracies_distance, segment_distances);
BOOST_ASSERT(coordinates.size() >= 2);
segment_distances.resize(coordinates.size());
segment_distances.back() = util::coordinate_calculation::haversineDistance(
segment_distances.back() = util::coordinate_calculation::greatCircleDistance(
*(coordinates.end() - 2), coordinates.back());
const auto vector_head = coordinates.back();
coordinates = TrimCoordinatesToLength(
@@ -476,7 +476,7 @@ util::Coordinate CoordinateExtractor::ExtractCoordinateAtLength(
[distance, &accumulated_distance, last_coordinate = coordinates.front()](
const util::Coordinate coordinate) mutable {
const double segment_distance =
util::coordinate_calculation::haversineDistance(last_coordinate, coordinate);
util::coordinate_calculation::greatCircleDistance(last_coordinate, coordinate);
const auto result = (accumulated_distance + segment_distance) >= distance;
if (!result)
{
@@ -497,7 +497,7 @@ util::Coordinate CoordinateExtractor::ExtractCoordinateAtLength(
const auto interpolation_factor =
ComputeInterpolationFactor(distance - accumulated_distance,
0,
util::coordinate_calculation::haversineDistance(
util::coordinate_calculation::greatCircleDistance(
*std::prev(coordinate_after), *coordinate_after));
return util::coordinate_calculation::interpolateLinear(
@@ -533,7 +533,7 @@ util::Coordinate CoordinateExtractor::GetCoordinateCloseToTurn(const NodeID from
const auto far_enough_away =
[start_coordinate, compressedGeometryToCoordinate](
const CompressedEdgeContainer::OnewayCompressedEdge &compressed_edge) {
return util::coordinate_calculation::haversineDistance(
return util::coordinate_calculation::greatCircleDistance(
compressedGeometryToCoordinate(compressed_edge), start_coordinate) > 1;
};
@@ -627,7 +627,7 @@ CoordinateExtractor::GetMaxDeviation(std::vector<util::Coordinate>::const_iterat
.second;
// and calculate the distance between the intermediate coordinate and the coordinate
// on the osrm-way
return util::coordinate_calculation::haversineDistance(coord_between, coordinate);
return util::coordinate_calculation::greatCircleDistance(coord_between, coordinate);
};
// note: we don't accumulate here but rather compute the maximum. The functor passed here is not
@@ -671,7 +671,7 @@ bool CoordinateExtractor::IsCurve(const std::vector<util::Coordinate> &coordinat
auto coord_between =
util::coordinate_calculation::projectPointOnSegment(line_start, line_end, point).second;
// and calculate the distance between the intermediate coordinate and the coordinate
return util::coordinate_calculation::haversineDistance(coord_between, point);
return util::coordinate_calculation::greatCircleDistance(coord_between, point);
};
// a curve needs to be on one side of the coordinate array
@@ -899,7 +899,7 @@ CoordinateExtractor::PrepareLengthCache(const std::vector<util::Coordinate> &coo
limit,
&segment_distances,
accumulated_distance = 0.](const util::Coordinate current_coordinate) mutable {
const auto distance = util::coordinate_calculation::haversineDistance(
const auto distance = util::coordinate_calculation::greatCircleDistance(
last_coordinate, current_coordinate);
accumulated_distance += distance;
last_coordinate = current_coordinate;
@@ -924,8 +924,8 @@ CoordinateExtractor::TrimCoordinatesToLength(std::vector<util::Coordinate> coord
[&coordinate_index, &distance_to_current_coordinate, &coordinates]() {
const auto new_distance =
distance_to_current_coordinate +
util::coordinate_calculation::haversineDistance(coordinates[coordinate_index - 1],
coordinates[coordinate_index]);
util::coordinate_calculation::greatCircleDistance(coordinates[coordinate_index - 1],
coordinates[coordinate_index]);
return new_distance;
};
@@ -941,8 +941,8 @@ CoordinateExtractor::TrimCoordinatesToLength(std::vector<util::Coordinate> coord
coordinates.erase(coordinates.begin() + length_cache.size(), coordinates.end());
const auto distance_between_last_coordinates =
util::coordinate_calculation::haversineDistance(*(coordinates.end() - 2),
*(coordinates.end() - 1));
util::coordinate_calculation::greatCircleDistance(*(coordinates.end() - 2),
*(coordinates.end() - 1));
if (distance_between_last_coordinates > 0)
{
@@ -991,7 +991,7 @@ CoordinateExtractor::GetCorrectedCoordinate(const util::Coordinate fixpoint,
{
// if the coordinates are close together, we were not able to look far ahead, so
// we can use the end-coordinate
if (util::coordinate_calculation::haversineDistance(vector_base, vector_head) <
if (util::coordinate_calculation::greatCircleDistance(vector_base, vector_head) <
DESIRED_COORDINATE_DIFFERENCE)
{
return vector_head;
@@ -1054,7 +1054,7 @@ CoordinateExtractor::SampleCoordinates(const std::vector<util::Coordinate> &coor
if (total_length > max_sample_length)
return true;
const auto distance_between = util::coordinate_calculation::haversineDistance(
const auto distance_between = util::coordinate_calculation::greatCircleDistance(
previous_coordinate, current_coordinate);
if (carry_length + distance_between >= rate)
@@ -1123,7 +1123,7 @@ CoordinateExtractor::TrimCoordinatesByLengthFront(std::vector<util::Coordinate>
for (std::size_t next_index = 1; next_index < coordinates.size(); ++next_index)
{
const double next_distance =
distance_to_index + util::coordinate_calculation::haversineDistance(
distance_to_index + util::coordinate_calculation::greatCircleDistance(
coordinates[index], coordinates[next_index]);
if (next_distance >= desired_length)
{
@@ -237,7 +237,7 @@ getIntersectionOutgoingGeometries(const util::NodeBasedDynamicGraph &graph,
util::coordinate_calculation::bearing(geometry[0], representative_coordinate);
const auto edge_length = util::coordinate_calculation::getLength(
geometry.begin(), geometry.end(), util::coordinate_calculation::haversineDistance);
geometry.begin(), geometry.end(), util::coordinate_calculation::greatCircleDistance);
edge_geometries.push_back({outgoing_edge, initial_bearing, perceived_bearing, edge_length});
}
@@ -225,7 +225,7 @@ bool MergableRoadDetector::IsNarrowTriangle(const NodeID intersection_node,
left_accumulator,
selector);
}
const auto distance_to_triangle = util::coordinate_calculation::haversineDistance(
const auto distance_to_triangle = util::coordinate_calculation::greatCircleDistance(
node_coordinates[intersection_node],
node_coordinates[node_based_graph.GetTarget(left_accumulator.via_edge_id)]);
@@ -274,9 +274,10 @@ bool MergableRoadDetector::IsNarrowTriangle(const NodeID intersection_node,
// the width we can bridge at the intersection
const auto assumed_road_width = (num_lanes(lhs) + num_lanes(rhs)) * ASSUMED_LANE_WIDTH;
const constexpr auto MAXIMAL_ALLOWED_TRAFFIC_ISLAND_WIDTH = 10;
const auto distance_between_triangle_corners = util::coordinate_calculation::haversineDistance(
node_coordinates[node_based_graph.GetTarget(left_accumulator.via_edge_id)],
node_coordinates[node_based_graph.GetTarget(right_accumulator.via_edge_id)]);
const auto distance_between_triangle_corners =
util::coordinate_calculation::greatCircleDistance(
node_coordinates[node_based_graph.GetTarget(left_accumulator.via_edge_id)],
node_coordinates[node_based_graph.GetTarget(right_accumulator.via_edge_id)]);
if (distance_between_triangle_corners >
(assumed_road_width + MAXIMAL_ALLOWED_TRAFFIC_ISLAND_WIDTH))
return false;
@@ -540,7 +541,7 @@ bool MergableRoadDetector::IsTrafficIsland(const NodeID intersection_node,
if (!degree_three_connect_in && !degree_three_connect_out)
return false;
const auto distance_between_candidates = util::coordinate_calculation::haversineDistance(
const auto distance_between_candidates = util::coordinate_calculation::greatCircleDistance(
node_coordinates[intersection_node], node_coordinates[left_candidate]);
const auto both_split_join = degree_three_connect_in && degree_three_connect_out;
@@ -50,7 +50,7 @@ void LengthLimitedCoordinateAccumulator::update(const NodeID from_node,
const auto length =
util::coordinate_calculation::getLength(current_coordinates.begin(),
current_coordinates.end(),
util::coordinate_calculation::haversineDistance);
util::coordinate_calculation::greatCircleDistance);
// in case we get too many coordinates, we limit them to our desired length
if (length + accumulated_length > max_length)
+1 -1
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@@ -183,7 +183,7 @@ TurnInstruction IntersectionHandler::getInstructionForObvious(const std::size_t
// duration/weight of the traversal. We can only approximate the distance here
// or actually follow the full road. When 2399 lands, we can exchange here for a
// precalculated distance value.
const auto distance = util::coordinate_calculation::haversineDistance(
const auto distance = util::coordinate_calculation::greatCircleDistance(
node_coordinates[node_based_graph.GetTarget(via_edge)],
node_coordinates[node_based_graph.GetTarget(road.eid)]);
+1 -1
View File
@@ -274,7 +274,7 @@ RoundaboutType RoundaboutHandler::getRoundaboutType(const NodeID nid) const
for (const auto &compressed_edge : edge_bucket)
{
const auto next_coord = node_coordinates[compressed_edge.node_id];
length += util::coordinate_calculation::haversineDistance(last_coord, next_coord);
length += util::coordinate_calculation::greatCircleDistance(last_coord, next_coord);
last_coord = next_coord;
}
return length;
@@ -56,7 +56,7 @@ std::unordered_set<EdgeID> findSegregatedNodes(const extractor::NodeBasedGraphFa
double length = 0.0;
for (size_t i = 1; i < geom.size(); ++i)
{
length += util::coordinate_calculation::haversineDistance(geom[i - 1], geom[i]);
length += util::coordinate_calculation::greatCircleDistance(geom[i - 1], geom[i]);
}
return length;
};
+4 -4
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@@ -452,8 +452,8 @@ Intersection SliproadHandler::operator()(const NodeID /*nid*/,
// Only check for curvature and ~90 degree when it makes sense to do so.
const constexpr auto MIN_LENGTH = 3.;
const auto length = haversineDistance(node_coordinates[intersection_node_id],
node_coordinates[main_road_intersection->node]);
const auto length = greatCircleDistance(node_coordinates[intersection_node_id],
node_coordinates[main_road_intersection->node]);
const double minimal_crossroad_angle_of_intersection = 40.;
@@ -740,8 +740,8 @@ bool SliproadHandler::isValidSliproadArea(const double max_area,
const auto second = node_coordinates[b];
const auto third = node_coordinates[c];
const auto length = haversineDistance(first, second);
const auto heigth = haversineDistance(second, third);
const auto length = greatCircleDistance(first, second);
const auto heigth = greatCircleDistance(second, third);
const auto area = (length * heigth) / 2.;
+1 -1
View File
@@ -51,7 +51,7 @@ bool findPreviousIntersection(const NodeID node_v,
const auto via_edge_length =
util::coordinate_calculation::getLength(coordinates_along_via_edge.begin(),
coordinates_along_via_edge.end(),
&util::coordinate_calculation::haversineDistance);
&util::coordinate_calculation::greatCircleDistance);
// we check if via-edge is too short. In this case the previous turn cannot influence the turn
// at via_edge and the intersection at NODE_W
+21 -79
View File
@@ -72,12 +72,10 @@ std::uint64_t squaredEuclideanDistance(const Coordinate lhs, const Coordinate rh
return result;
}
// Uses method described here:
// https://www.gpo.gov/fdsys/pkg/CFR-2005-title47-vol4/pdf/CFR-2005-title47-vol4-sec73-208.pdf
// should be within 0.1% or so of Vincenty method (assuming 19 buckets are enough)
// Should be more faster and more precise than Haversine
double fccApproximateDistance(const Coordinate coordinate_1, const Coordinate coordinate_2)
double greatCircleDistance(const Coordinate coordinate_1, const Coordinate coordinate_2)
{
// Should be within 0.1% or so of Vincenty method (assuming 19 buckets are enough)
// Should be more faster and more precise than Haversine
const auto lon1 = static_cast<double>(util::toFloating(coordinate_1.lon));
const auto lat1 = static_cast<double>(util::toFloating(coordinate_1.lat));
const auto lon2 = static_cast<double>(util::toFloating(coordinate_2.lon));
@@ -86,56 +84,6 @@ double fccApproximateDistance(const Coordinate coordinate_1, const Coordinate co
.distance({lon1, lat1}, {lon2, lat2});
}
double haversineDistance(const Coordinate coordinate_1, const Coordinate coordinate_2)
{
auto lon1 = static_cast<int>(coordinate_1.lon);
auto lat1 = static_cast<int>(coordinate_1.lat);
auto lon2 = static_cast<int>(coordinate_2.lon);
auto lat2 = static_cast<int>(coordinate_2.lat);
BOOST_ASSERT(lon1 != std::numeric_limits<int>::min());
BOOST_ASSERT(lat1 != std::numeric_limits<int>::min());
BOOST_ASSERT(lon2 != std::numeric_limits<int>::min());
BOOST_ASSERT(lat2 != std::numeric_limits<int>::min());
const double lt1 = lat1 / COORDINATE_PRECISION;
const double ln1 = lon1 / COORDINATE_PRECISION;
const double lt2 = lat2 / COORDINATE_PRECISION;
const double ln2 = lon2 / COORDINATE_PRECISION;
const double dlat1 = lt1 * detail::DEGREE_TO_RAD;
const double dlong1 = ln1 * detail::DEGREE_TO_RAD;
const double dlat2 = lt2 * detail::DEGREE_TO_RAD;
const double dlong2 = ln2 * detail::DEGREE_TO_RAD;
const double dlong = dlong1 - dlong2;
const double dlat = dlat1 - dlat2;
const double aharv = std::pow(std::sin(dlat / 2.0), 2.0) +
std::cos(dlat1) * std::cos(dlat2) * std::pow(std::sin(dlong / 2.), 2);
const double charv = 2. * std::atan2(std::sqrt(aharv), std::sqrt(1.0 - aharv));
return detail::EARTH_RADIUS * charv;
}
double greatCircleDistance(const Coordinate coordinate_1, const Coordinate coordinate_2)
{
auto lon1 = static_cast<int>(coordinate_1.lon);
auto lat1 = static_cast<int>(coordinate_1.lat);
auto lon2 = static_cast<int>(coordinate_2.lon);
auto lat2 = static_cast<int>(coordinate_2.lat);
BOOST_ASSERT(lat1 != std::numeric_limits<int>::min());
BOOST_ASSERT(lon1 != std::numeric_limits<int>::min());
BOOST_ASSERT(lat2 != std::numeric_limits<int>::min());
BOOST_ASSERT(lon2 != std::numeric_limits<int>::min());
const double float_lat1 = (lat1 / COORDINATE_PRECISION) * detail::DEGREE_TO_RAD;
const double float_lon1 = (lon1 / COORDINATE_PRECISION) * detail::DEGREE_TO_RAD;
const double float_lat2 = (lat2 / COORDINATE_PRECISION) * detail::DEGREE_TO_RAD;
const double float_lon2 = (lon2 / COORDINATE_PRECISION) * detail::DEGREE_TO_RAD;
const double x_value = (float_lon2 - float_lon1) * std::cos((float_lat1 + float_lat2) / 2.0);
const double y_value = float_lat2 - float_lat1;
return std::hypot(x_value, y_value) * detail::EARTH_RADIUS;
}
double perpendicularDistance(const Coordinate segment_source,
const Coordinate segment_target,
const Coordinate query_location,
@@ -153,7 +101,7 @@ double perpendicularDistance(const Coordinate segment_source,
web_mercator::fromWGS84(query_location));
nearest_location = web_mercator::toWGS84(projected_nearest);
const double approximate_distance = fccApproximateDistance(query_location, nearest_location);
const double approximate_distance = greatCircleDistance(query_location, nearest_location);
BOOST_ASSERT(0.0 <= approximate_distance);
return approximate_distance;
}
@@ -179,30 +127,24 @@ Coordinate centroid(const Coordinate lhs, const Coordinate rhs)
return centroid;
}
double bearing(const Coordinate first_coordinate, const Coordinate second_coordinate)
double bearing(const Coordinate coordinate_1, const Coordinate coordinate_2)
{
const double lon_diff =
static_cast<double>(toFloating(second_coordinate.lon - first_coordinate.lon));
const double lon_delta = detail::degToRad(lon_diff);
const double lat1 = detail::degToRad(static_cast<double>(toFloating(first_coordinate.lat)));
const double lat2 = detail::degToRad(static_cast<double>(toFloating(second_coordinate.lat)));
const double y = std::sin(lon_delta) * std::cos(lat2);
const double x =
std::cos(lat1) * std::sin(lat2) - std::sin(lat1) * std::cos(lat2) * std::cos(lon_delta);
double result = detail::radToDeg(std::atan2(y, x));
while (result < 0.0)
const auto lon1 = static_cast<double>(util::toFloating(coordinate_1.lon));
const auto lat1 = static_cast<double>(util::toFloating(coordinate_1.lat));
const auto lon2 = static_cast<double>(util::toFloating(coordinate_2.lon));
const auto lat2 = static_cast<double>(util::toFloating(coordinate_2.lat));
const auto &ruler = cheap_ruler_container.getRuler(coordinate_1.lat, coordinate_2.lat);
auto result = ruler.bearing({lon1, lat1}, {lon2, lat2});
if (result < 0.0)
{
result += 360.0;
}
BOOST_ASSERT(0 <= result && result <= 360);
while (result >= 360.0)
{
result -= 360.0;
}
// If someone gives us two identical coordinates, then the concept of a bearing
// makes no sense. However, because it sometimes happens, we'll at least
// return a consistent value of 0 so that the behaviour isn't random.
BOOST_ASSERT(first_coordinate != second_coordinate || result == 0.);
BOOST_ASSERT(coordinate_1 != coordinate_2 || result == 0.);
return result;
}
@@ -322,7 +264,7 @@ double circleRadius(const Coordinate C1, const Coordinate C2, const Coordinate C
// a circle by three points requires thee distinct points
auto center = circleCenter(C1, C2, C3);
if (center)
return haversineDistance(C1, *center);
return greatCircleDistance(C1, *center);
else
return std::numeric_limits<double>::infinity();
}
@@ -372,8 +314,8 @@ double findClosestDistance(const Coordinate coordinate,
const Coordinate segment_begin,
const Coordinate segment_end)
{
return haversineDistance(coordinate,
projectPointOnSegment(segment_begin, segment_end, coordinate).second);
return greatCircleDistance(
coordinate, projectPointOnSegment(segment_begin, segment_end, coordinate).second);
}
// find the closes distance between two sets of coordinates
@@ -437,7 +379,7 @@ Coordinate difference(const Coordinate lhs, const Coordinate rhs)
double computeArea(const std::vector<Coordinate> &polygon)
{
using util::coordinate_calculation::haversineDistance;
using util::coordinate_calculation::greatCircleDistance;
if (polygon.empty())
return 0.;
@@ -458,15 +400,15 @@ double computeArea(const std::vector<Coordinate> &polygon)
double area = 0.;
auto first = polygon.begin();
auto previous_base = util::Coordinate{first->lon, ref_latitude};
auto previous_y = haversineDistance(previous_base, *first);
auto previous_y = greatCircleDistance(previous_base, *first);
for (++first; first != polygon.end(); ++first)
{
BOOST_ASSERT(first->lat >= ref_latitude);
const auto current_base = util::Coordinate{first->lon, ref_latitude};
const auto current_y = haversineDistance(current_base, *first);
const auto current_y = greatCircleDistance(current_base, *first);
const auto chunk_area =
haversineDistance(previous_base, current_base) * (previous_y + current_y);
greatCircleDistance(previous_base, current_base) * (previous_y + current_y);
area += (current_base.lon >= previous_base.lon) ? chunk_area : -chunk_area;