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#include "catch.hpp"
#include <mapnik/projection.hpp>
#include <mapnik/proj_transform.hpp>
#include <mapnik/geometry/box2d.hpp>
#include <cmath>
#include <tuple>
TEST_CASE("projection transform")
{
SECTION("Test bounding box transforms - 4326 to 3857")
{
mapnik::projection proj_4326("epsg:4326");
mapnik::projection proj_3857("epsg:3857");
CHECK(proj_4326.is_geographic());
CHECK(!proj_3857.is_geographic());
CHECK(*proj_4326.area_of_use() == mapnik::box2d<double>(-180, -90, 180, 90));
CHECK(*proj_3857.area_of_use() == mapnik::box2d<double>(-180, -85.06, 180, 85.06));
mapnik::proj_transform prj_trans(proj_4326, proj_3857);
double minx = -45.0;
double miny = 55.0;
double maxx = -40.0;
double maxy = 75.0;
mapnik::box2d<double> bbox(minx, miny, maxx, maxy);
INFO(bbox.to_string());
CHECKED_IF(prj_trans.forward(bbox))
{
CHECK(bbox.minx() == Approx(-5009377.085697311));
CHECK(bbox.miny() == Approx(7361866.1130511891));
CHECK(bbox.maxx() == Approx(-4452779.631730943));
CHECK(bbox.maxy() == Approx(12932243.1119920239));
}
CHECKED_IF(prj_trans.backward(bbox))
{
CHECK(bbox.minx() == Approx(minx));
CHECK(bbox.miny() == Approx(miny));
CHECK(bbox.maxx() == Approx(maxx));
CHECK(bbox.maxy() == Approx(maxy));
}
}
#if defined(MAPNIK_USE_PROJ)
SECTION("test proj_transform failure behavior")
{
mapnik::projection proj_4269("epsg:4269");
mapnik::projection proj_3857("epsg:3857");
mapnik::proj_transform prj_trans(proj_4269, proj_3857);
mapnik::proj_transform prj_trans2(proj_3857, proj_4269);
// test valid coordinate
double x0 = -180.0;
double y0 = -60.0;
CHECK(prj_trans.forward(&x0, &y0, nullptr, 1, 1));
CHECK(x0 == Approx(-20037508.3427892439));
CHECK(y0 == Approx(-8399737.8896366451));
double x1 = -180.0;
double y1 = -60.0;
CHECK(prj_trans2.backward(&x1, &y1, nullptr, 1, 1));
CHECK(x1 == Approx(-20037508.3427892439));
CHECK(y1 == Approx(-8399737.8896366451));
// now test invalid coordinate
double x2 = -181.0;
double y2 = -91.0;
prj_trans.forward(&x2, &y2, nullptr, 1, 1);
CHECK(std::isinf(x2));
CHECK(std::isinf(y2));
double x3 = -181.0;
double y3 = -91.0;
prj_trans2.backward(&x3, &y3, nullptr, 1, 1);
CHECK(std::isinf(x3));
CHECK(std::isinf(y3));
}
SECTION("test forward/backward transformations")
{
// WGS 84 - World Geodetic System 1984, used in GPS
mapnik::projection proj_4236("epsg:4236");
// OSGB 1936 / British National Grid -- United Kingdom Ordnance Survey
mapnik::projection proj_27700("epsg:27700");
// WGS 84 / Equal Earth Greenwich
mapnik::projection proj_8857("epsg:8857");
// European Terrestrial Reference System 1989 (ETRS89)
mapnik::projection proj_4937("epsg:4937");
//"Webmercator" WGS 84 / Pseudo-Mercator -- Spherical Mercator, Google Maps, OpenStreetMap, Bing, ArcGIS, ESRI
mapnik::projection proj_3857("epsg:3857");
mapnik::proj_transform tr1(proj_4236, proj_27700);
mapnik::proj_transform tr2(proj_4236, proj_8857);
mapnik::proj_transform tr3(proj_4236, proj_4236);
mapnik::proj_transform tr4(proj_4236, proj_4937);
mapnik::proj_transform tr5(proj_4236, proj_3857);
std::initializer_list<std::reference_wrapper<mapnik::proj_transform>> transforms = {tr1, tr2, tr3, tr4, tr5};
std::initializer_list<std::tuple<double, double>> coords = {
{-4.0278869, 57.8796955}, // Dórnach, Highland
{-4.2488787, 55.8609825}, // Glaschú, Alba
{-1.4823897, 51.8726941}, // Charlbury, England
{-3.9732612, 51.7077400} // Felindre, Cymru
};
for (auto const& c : coords)
{
double x0, y0;
std::tie(x0, y0) = c;
for (mapnik::proj_transform const& tr : transforms)
{
double x1 = x0;
double y1 = y0;
tr.forward(&x1, &y1, nullptr, 1, 1);
tr.backward(&x1, &y1, nullptr, 1, 1);
CHECK(x0 == Approx(x1));
CHECK(y0 == Approx(y1));
}
}
}
// Github Issue https://github.com/mapnik/mapnik/issues/2648
SECTION("Test proj antimeridian bbox")
{
mapnik::projection prj_geog("epsg:4326");
mapnik::projection prj_proj("epsg:2193");
mapnik::proj_transform prj_trans_fwd(prj_proj, prj_geog);
mapnik::proj_transform prj_trans_rev(prj_geog, prj_proj);
// reference values taken from proj4 command line tool:
// (non-corner points assume PROJ_ENVELOPE_POINTS == 20)
//
// cs2cs -Ef %.10f epsg:2193 +to epsg:4326 <<END
// 2105800 3087000 # left-most
// 1495200 3087000 # bottom-most
// 2105800 7173000 # right-most
// 3327000 7173000 # top-most
// END
//
// wrong = mapnik.Box2d(-177.3145325044, -62.3337481525,
// 178.0277836332, -24.5845974912)
mapnik::box2d<double> const better(-180.0, -62.3337481525, 180.0, -24.5845974912);
{
mapnik::box2d<double> ext(274000, 3087000, 3327000, 7173000);
CHECKED_IF(prj_trans_fwd.forward(ext, PROJ_ENVELOPE_POINTS))
{
CHECK(ext.minx() == Approx(better.minx()));
CHECK(ext.miny() == Approx(better.miny()));
CHECK(ext.maxx() == Approx(better.maxx()));
CHECK(ext.maxy() == Approx(better.maxy()));
}
}
{
// check the same logic works for .backward()
mapnik::box2d<double> ext(274000, 3087000, 3327000, 7173000);
CHECKED_IF(prj_trans_rev.backward(ext, PROJ_ENVELOPE_POINTS))
{
CHECK(ext.minx() == Approx(better.minx()));
CHECK(ext.miny() == Approx(better.miny()));
CHECK(ext.maxx() == Approx(better.maxx()));
CHECK(ext.maxy() == Approx(better.maxy()));
}
}
// reference values taken from proj4 command line tool:
//
// cs2cs -Ef %.10f epsg:2193 +to epsg:4326 <<END
// 274000 3087000 # left-most
// 276000 3087000 # bottom-most
// 276000 7173000 # right-most
// 274000 7173000 # top-most
// END
//
mapnik::box2d<double> const normal(148.7639922894, -60.1222810241, 159.9548489296, -24.9771195155);
{
// checks for not being snapped (ie. not antimeridian)
mapnik::box2d<double> ext(274000, 3087000, 276000, 7173000);
CHECKED_IF(prj_trans_fwd.forward(ext, PROJ_ENVELOPE_POINTS))
{
CHECK(ext.minx() == Approx(normal.minx()));
CHECK(ext.miny() == Approx(normal.miny()));
CHECK(ext.maxx() == Approx(normal.maxx()));
CHECK(ext.maxy() == Approx(normal.maxy()));
}
}
{
// check the same logic works for .backward()
mapnik::box2d<double> ext(274000, 3087000, 276000, 7173000);
CHECKED_IF(prj_trans_rev.backward(ext, PROJ_ENVELOPE_POINTS))
{
CHECK(ext.minx() == Approx(normal.minx()));
CHECK(ext.miny() == Approx(normal.miny()));
CHECK(ext.maxx() == Approx(normal.maxx()));
CHECK(ext.maxy() == Approx(normal.maxy()));
}
}
}
SECTION("Test proj north/south poles bbox")
{
// WGS 84 / Arctic Polar Stereographic
mapnik::projection prj_geog("epsg:4326");
mapnik::projection prj_proj("epsg:3995");
mapnik::proj_transform prj_trans_fwd(prj_proj, prj_geog);
mapnik::proj_transform prj_trans_rev(prj_geog, prj_proj);
// bounds
mapnik::box2d<double> const bounds{-180.0, 60.0, 180.0, 90.0};
{
// projected bounds
mapnik::box2d<double> projected_bounds{-3299207.53, -3333134.03, 3299207.53, 3333134.03};
CHECKED_IF(prj_trans_fwd.forward(projected_bounds, PROJ_ENVELOPE_POINTS))
{
CHECK(projected_bounds.minx() == Approx(bounds.minx()));
CHECK(projected_bounds.miny() == Approx(48.65640)); // this is expected
CHECK(projected_bounds.maxx() == Approx(bounds.maxx()));
CHECK(projected_bounds.maxy() == Approx(bounds.maxy()));
}
}
{
// check the same logic works for .backward()
mapnik::box2d<double> projected_bounds{-3299207.53, -3333134.03, 3299207.53, 3333134.03};
CHECKED_IF(prj_trans_rev.backward(projected_bounds, PROJ_ENVELOPE_POINTS))
{
CHECK(projected_bounds.minx() == Approx(bounds.minx()));
CHECK(projected_bounds.miny() == Approx(48.65640)); // this is expected
CHECK(projected_bounds.maxx() == Approx(bounds.maxx()));
CHECK(projected_bounds.maxy() == Approx(bounds.maxy()));
}
}
}
SECTION("proj_transform of coordinate arrays with stride > 1")
{
mapnik::projection const proj_4326("epsg:4326");
mapnik::projection const proj_3857("epsg:3857");
mapnik::projection const proj_2193("epsg:2193");
SECTION("lonlat <-> Web Mercator")
{
// cs2cs -Ef %.10f epsg:4326 +to epsg:3857 <<END
// 170.142139 -43.595056
// 175.566667 -39.283333
// END
//
// 170.142139 -43.595056 18940136.2759583741 -5402988.5324898539
// 175.566667 -39.283333 19543991.9707122259 -4762338.2380718365
//
mapnik::geometry::point<double> points[] = {{170.142139, -43.595056}, {175.566667, -39.283333}};
// this transform is calculated by Mapnik (well_known_srs.cpp)
mapnik::proj_transform lonlat_to_webmerc(proj_4326, proj_3857);
CHECKED_IF(lonlat_to_webmerc.forward(&points[0].x, &points[0].y, nullptr, 2, 2))
{
CHECK(points[0].x == Approx(18940136.2759583741));
CHECK(points[0].y == Approx(-5402988.5324898539));
CHECK(points[1].x == Approx(19543991.9707122259));
CHECK(points[1].y == Approx(-4762338.2380718365));
}
CHECKED_IF(lonlat_to_webmerc.backward(&points[0].x, &points[0].y, nullptr, 2, 2))
{
CHECK(points[0].x == Approx(170.142139));
CHECK(points[0].y == Approx(-43.595056));
CHECK(points[1].x == Approx(175.566667));
CHECK(points[1].y == Approx(-39.283333));
}
}
SECTION("lonlat <-> New Zealand Transverse Mercator 2000")
{
mapnik::projection const proj_2193("epsg:2193");
// cs2cs -Ef %.10f epsg:4326 +to epsg:2193 <<END
// 170.142139 -43.595056
// 175.566667 -39.283333
// END
//
// 170.142139 -43.595056 1369316.0970041484 5169132.9750701785
// 175.566667 -39.283333 1821377.9170061364 5648640.2106032455
//
mapnik::geometry::point<double> points[] = {{170.142139, -43.595056}, {175.566667, -39.283333}};
// this transform is not calculated by Mapnik (needs Proj4)
mapnik::proj_transform lonlat_to_nztm(proj_4326, proj_2193);
CHECKED_IF(lonlat_to_nztm.forward(&points[0].x, &points[0].y, nullptr, 2, 2))
{
CHECK(points[0].x == Approx(1369316.0970041484));
CHECK(points[0].y == Approx(5169132.9750701785));
CHECK(points[1].x == Approx(1821377.9170061364));
CHECK(points[1].y == Approx(5648640.2106032455));
}
CHECKED_IF(lonlat_to_nztm.backward(&points[0].x, &points[0].y, nullptr, 2, 2))
{
CHECK(points[0].x == Approx(170.142139));
CHECK(points[0].y == Approx(-43.595056));
CHECK(points[1].x == Approx(175.566667));
CHECK(points[1].y == Approx(-39.283333));
}
}
}
#endif // MAPNIK_USE_PROJ
}
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