315 lines
13 KiB
C++
315 lines
13 KiB
C++
#include <boost/numeric/conversion/cast.hpp>
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#include <boost/test/unit_test.hpp>
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#include "util/coordinate_calculation.hpp"
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#include <osrm/coordinate.hpp>
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#include <cmath>
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using namespace osrm;
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using namespace osrm::util;
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BOOST_AUTO_TEST_SUITE(coordinate_calculation_tests)
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BOOST_AUTO_TEST_CASE(compute_angle)
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{
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// Simple cases
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// North-South straight line
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Coordinate first(FloatLongitude(1), FloatLatitude(-1));
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Coordinate middle(FloatLongitude(1), FloatLatitude(0));
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Coordinate end(FloatLongitude(1), FloatLatitude(1));
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auto angle = coordinate_calculation::computeAngle(first, middle, end);
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BOOST_CHECK_EQUAL(angle, 180);
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// North-South-North u-turn
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first = Coordinate(FloatLongitude(1), FloatLatitude(0));
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middle = Coordinate(FloatLongitude(1), FloatLatitude(1));
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end = Coordinate(FloatLongitude(1), FloatLatitude(0));
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angle = coordinate_calculation::computeAngle(first, middle, end);
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BOOST_CHECK_EQUAL(angle, 0);
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// East-west straight lines are harder, *simple* coordinates only
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// work at the equator. For other locations, we need to follow
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// a rhumb line.
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first = Coordinate(FloatLongitude(1), FloatLatitude(0));
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middle = Coordinate(FloatLongitude(2), FloatLatitude(0));
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end = Coordinate(FloatLongitude(3), FloatLatitude(0));
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angle = coordinate_calculation::computeAngle(first, middle, end);
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BOOST_CHECK_EQUAL(angle, 180);
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// East-West-East u-turn
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first = Coordinate(FloatLongitude(1), FloatLatitude(0));
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middle = Coordinate(FloatLongitude(2), FloatLatitude(0));
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end = Coordinate(FloatLongitude(1), FloatLatitude(0));
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angle = coordinate_calculation::computeAngle(first, middle, end);
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BOOST_CHECK_EQUAL(angle, 0);
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// 90 degree left turn
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first = Coordinate(FloatLongitude(1), FloatLatitude(1));
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middle = Coordinate(FloatLongitude(0), FloatLatitude(1));
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end = Coordinate(FloatLongitude(0), FloatLatitude(2));
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angle = coordinate_calculation::computeAngle(first, middle, end);
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BOOST_CHECK_EQUAL(angle, 90);
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// 90 degree right turn
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first = Coordinate(FloatLongitude(1), FloatLatitude(1));
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middle = Coordinate(FloatLongitude(0), FloatLatitude(1));
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end = Coordinate(FloatLongitude(0), FloatLatitude(0));
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angle = coordinate_calculation::computeAngle(first, middle, end);
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BOOST_CHECK_EQUAL(angle, 270);
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// Weird cases
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// Crossing both the meridians
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first = Coordinate(FloatLongitude(-1), FloatLatitude(-1));
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middle = Coordinate(FloatLongitude(0), FloatLatitude(1));
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end = Coordinate(FloatLongitude(1), FloatLatitude(-1));
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angle = coordinate_calculation::computeAngle(first, middle, end);
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BOOST_CHECK_CLOSE(angle, 53.1, 0.2);
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// All coords in the same spot
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first = Coordinate(FloatLongitude(-1), FloatLatitude(-1));
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middle = Coordinate(FloatLongitude(-1), FloatLatitude(-1));
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end = Coordinate(FloatLongitude(-1), FloatLatitude(-1));
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angle = coordinate_calculation::computeAngle(first, middle, end);
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BOOST_CHECK_EQUAL(angle, 180);
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// First two coords in the same spot, then heading north-east
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first = Coordinate(FloatLongitude(-1), FloatLatitude(-1));
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middle = Coordinate(FloatLongitude(-1), FloatLatitude(-1));
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end = Coordinate(FloatLongitude(1), FloatLatitude(1));
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angle = coordinate_calculation::computeAngle(first, middle, end);
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BOOST_CHECK_EQUAL(angle, 180);
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// First two coords in the same spot, then heading west
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first = Coordinate(FloatLongitude(1), FloatLatitude(1));
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middle = Coordinate(FloatLongitude(1), FloatLatitude(1));
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end = Coordinate(FloatLongitude(2), FloatLatitude(1));
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angle = coordinate_calculation::computeAngle(first, middle, end);
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BOOST_CHECK_EQUAL(angle, 180);
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// First two coords in the same spot then heading north
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first = Coordinate(FloatLongitude(1), FloatLatitude(1));
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middle = Coordinate(FloatLongitude(1), FloatLatitude(1));
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end = Coordinate(FloatLongitude(1), FloatLatitude(2));
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angle = coordinate_calculation::computeAngle(first, middle, end);
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BOOST_CHECK_EQUAL(angle, 180);
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// Second two coords in the same spot
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first = Coordinate(FloatLongitude(1), FloatLatitude(1));
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middle = Coordinate(FloatLongitude(-1), FloatLatitude(-1));
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end = Coordinate(FloatLongitude(-1), FloatLatitude(-1));
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angle = coordinate_calculation::computeAngle(first, middle, end);
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BOOST_CHECK_EQUAL(angle, 180);
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// First and last coords on the same spot
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first = Coordinate(FloatLongitude(1), FloatLatitude(1));
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middle = Coordinate(FloatLongitude(-1), FloatLatitude(-1));
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end = Coordinate(FloatLongitude(1), FloatLatitude(1));
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angle = coordinate_calculation::computeAngle(first, middle, end);
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BOOST_CHECK_EQUAL(angle, 0);
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// Check the antimeridian
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first = Coordinate(FloatLongitude(180), FloatLatitude(90));
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middle = Coordinate(FloatLongitude(180), FloatLatitude(0));
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end = Coordinate(FloatLongitude(180), FloatLatitude(-90));
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angle = coordinate_calculation::computeAngle(first, middle, end);
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BOOST_CHECK_EQUAL(angle, 180);
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// Tiny changes below our calculation resolution
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// This should be equivalent to having two points on the same
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// spot.
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first = Coordinate(FloatLongitude(0), FloatLatitude(0));
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middle = Coordinate(FloatLongitude(1), FloatLatitude(0));
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end = Coordinate(FloatLongitude(1 + std::numeric_limits<double>::epsilon()), FloatLatitude(0));
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angle = coordinate_calculation::computeAngle(first, middle, end);
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BOOST_CHECK_EQUAL(angle, 180);
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// Invalid values
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/* TODO: Enable this when I figure out how to use BOOST_CHECK_THROW
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* and not have the whole test case fail...
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first = Coordinate(FloatLongitude(0), FloatLatitude(0));
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middle = Coordinate(FloatLongitude(1), FloatLatitude(0));
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end = Coordinate(FloatLongitude(std::numeric_limits<double>::max()), FloatLatitude(0));
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BOOST_CHECK_THROW( coordinate_calculation::computeAngle(first,middle,end),
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boost::numeric::positive_overflow);
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*/
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}
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// Regression test for bug captured in #1347
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BOOST_AUTO_TEST_CASE(regression_test_1347)
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{
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Coordinate u(FloatLongitude(-100), FloatLatitude(10));
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Coordinate v(FloatLongitude(-100.002), FloatLatitude(10.001));
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Coordinate q(FloatLongitude(-100.001), FloatLatitude(10.002));
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double d1 = coordinate_calculation::perpendicularDistance(u, v, q);
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double ratio;
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Coordinate nearest_location;
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double d2 = coordinate_calculation::perpendicularDistance(u, v, q, nearest_location, ratio);
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BOOST_CHECK_LE(std::abs(d1 - d2), 0.01);
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}
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BOOST_AUTO_TEST_CASE(regression_point_on_segment)
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{
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// ^
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// | t
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// |
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// | i
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// |
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// |---|---|---|---|---|---|---|--->
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// |
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// |
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// |
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// |
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// |
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// |
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// |
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// |
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// | s
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FloatCoordinate input{FloatLongitude{55.995715}, FloatLatitude{48.332711}};
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FloatCoordinate start{FloatLongitude{74.140427}, FloatLatitude{-180}};
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FloatCoordinate target{FloatLongitude{53.041084}, FloatLatitude{77.21011}};
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FloatCoordinate nearest;
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double ratio;
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std::tie(ratio, nearest) = coordinate_calculation::projectPointOnSegment(start, target, input);
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FloatCoordinate diff{target.lon - start.lon, target.lat - start.lat};
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BOOST_CHECK_CLOSE(static_cast<double>(start.lon + FloatLongitude(ratio) * diff.lon),
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static_cast<double>(nearest.lon),
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0.1);
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BOOST_CHECK_CLOSE(static_cast<double>(start.lat + FloatLatitude(ratio) * diff.lat),
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static_cast<double>(nearest.lat),
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0.1);
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}
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BOOST_AUTO_TEST_CASE(point_on_segment)
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{
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// t
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// |
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// |---- i
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// |
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// s
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auto result_1 =
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coordinate_calculation::projectPointOnSegment({FloatLongitude{0}, FloatLatitude{0}},
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{FloatLongitude{0}, FloatLatitude{2}},
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{FloatLongitude{2}, FloatLatitude{1}});
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auto reference_ratio_1 = 0.5;
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auto reference_point_1 = FloatCoordinate{FloatLongitude{0}, FloatLatitude{1}};
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BOOST_CHECK_EQUAL(result_1.first, reference_ratio_1);
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BOOST_CHECK_EQUAL(result_1.second.lon, reference_point_1.lon);
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BOOST_CHECK_EQUAL(result_1.second.lat, reference_point_1.lat);
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// i
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// :
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// t
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// |
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// |
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// |
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// s
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auto result_2 =
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coordinate_calculation::projectPointOnSegment({FloatLongitude{0.}, FloatLatitude{0.}},
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{FloatLongitude{0}, FloatLatitude{2}},
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{FloatLongitude{0}, FloatLatitude{3}});
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auto reference_ratio_2 = 1.;
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auto reference_point_2 = FloatCoordinate{FloatLongitude{0}, FloatLatitude{2}};
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BOOST_CHECK_EQUAL(result_2.first, reference_ratio_2);
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BOOST_CHECK_EQUAL(result_2.second.lon, reference_point_2.lon);
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BOOST_CHECK_EQUAL(result_2.second.lat, reference_point_2.lat);
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// t
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// |
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// |
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// |
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// s
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// :
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// i
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auto result_3 =
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coordinate_calculation::projectPointOnSegment({FloatLongitude{0.}, FloatLatitude{0.}},
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{FloatLongitude{0}, FloatLatitude{2}},
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{FloatLongitude{0}, FloatLatitude{-1}});
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auto reference_ratio_3 = 0.;
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auto reference_point_3 = FloatCoordinate{FloatLongitude{0}, FloatLatitude{0}};
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BOOST_CHECK_EQUAL(result_3.first, reference_ratio_3);
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BOOST_CHECK_EQUAL(result_3.second.lon, reference_point_3.lon);
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BOOST_CHECK_EQUAL(result_3.second.lat, reference_point_3.lat);
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// t
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// /
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// /.
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// / i
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// s
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//
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auto result_4 = coordinate_calculation::projectPointOnSegment(
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{FloatLongitude{0}, FloatLatitude{0}},
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{FloatLongitude{1}, FloatLatitude{1}},
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{FloatLongitude{0.5 + 0.1}, FloatLatitude{0.5 - 0.1}});
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auto reference_ratio_4 = 0.5;
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auto reference_point_4 = FloatCoordinate{FloatLongitude{0.5}, FloatLatitude{0.5}};
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BOOST_CHECK_EQUAL(result_4.first, reference_ratio_4);
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BOOST_CHECK_EQUAL(result_4.second.lon, reference_point_4.lon);
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BOOST_CHECK_EQUAL(result_4.second.lat, reference_point_4.lat);
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}
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BOOST_AUTO_TEST_CASE(circleCenter)
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{
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Coordinate a(FloatLongitude(-100.), FloatLatitude(10.));
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Coordinate b(FloatLongitude(-100.002), FloatLatitude(10.001));
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Coordinate c(FloatLongitude(-100.001), FloatLatitude(10.002));
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auto result = coordinate_calculation::circleCenter(a, b, c);
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BOOST_CHECK(result);
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BOOST_CHECK_EQUAL(*result, Coordinate(FloatLongitude(-100.000833), FloatLatitude(10.000833)));
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// Co-linear longitude
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a = Coordinate(FloatLongitude(-100.), FloatLatitude(10.));
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b = Coordinate(FloatLongitude(-100.001), FloatLatitude(10.001));
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c = Coordinate(FloatLongitude(-100.001), FloatLatitude(10.002));
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result = coordinate_calculation::circleCenter(a, b, c);
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BOOST_CHECK(result);
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BOOST_CHECK_EQUAL(*result, Coordinate(FloatLongitude(-99.9995), FloatLatitude(10.0015)));
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// Co-linear longitude, impossible to calculate
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a = Coordinate(FloatLongitude(-100.001), FloatLatitude(10.));
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b = Coordinate(FloatLongitude(-100.001), FloatLatitude(10.001));
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c = Coordinate(FloatLongitude(-100.001), FloatLatitude(10.002));
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result = coordinate_calculation::circleCenter(a, b, c);
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BOOST_CHECK(!result);
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// Co-linear latitude, this is a real case that failed
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a = Coordinate(FloatLongitude(-112.096234), FloatLatitude(41.147101));
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b = Coordinate(FloatLongitude(-112.096606), FloatLatitude(41.147101));
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c = Coordinate(FloatLongitude(-112.096419), FloatLatitude(41.147259));
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result = coordinate_calculation::circleCenter(a, b, c);
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BOOST_CHECK(result);
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BOOST_CHECK_EQUAL(*result, Coordinate(FloatLongitude(-112.09642), FloatLatitude(41.14707)));
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// Co-linear latitude, variation
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a = Coordinate(FloatLongitude(-112.096234), FloatLatitude(41.147101));
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b = Coordinate(FloatLongitude(-112.096606), FloatLatitude(41.147259));
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c = Coordinate(FloatLongitude(-112.096419), FloatLatitude(41.147259));
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result = coordinate_calculation::circleCenter(a, b, c);
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BOOST_CHECK(result);
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BOOST_CHECK_EQUAL(*result, Coordinate(FloatLongitude(-112.096512), FloatLatitude(41.146962)));
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// Co-linear latitude, impossible to calculate
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a = Coordinate(FloatLongitude(-112.096234), FloatLatitude(41.147259));
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b = Coordinate(FloatLongitude(-112.096606), FloatLatitude(41.147259));
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c = Coordinate(FloatLongitude(-112.096419), FloatLatitude(41.147259));
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result = coordinate_calculation::circleCenter(a, b, c);
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BOOST_CHECK(!result);
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// Out of bounds
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a = Coordinate(FloatLongitude(-112.096234), FloatLatitude(41.147258));
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b = Coordinate(FloatLongitude(-112.106606), FloatLatitude(41.147259));
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c = Coordinate(FloatLongitude(-113.096419), FloatLatitude(41.147258));
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result = coordinate_calculation::circleCenter(a, b, c);
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BOOST_CHECK(!result);
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}
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BOOST_AUTO_TEST_SUITE_END()
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