#include "geoData.h" #include "collections.h" #include #include #include #include #include GeoData GeoData::loadFromAsciiGrid(const std::filesystem::path & input) { size_t ncols = 0, nrows = 0, xllcorner = 0, yllcorner = 0, cellsize = 0; std::map properties { {"ncols", &ncols}, {"nrows", &nrows}, {"xllcorner", &xllcorner}, {"yllcorner", &yllcorner}, {"cellsize", &cellsize}, }; std::ifstream f {input}; while (!properties.empty()) { std::string property; f >> property; f >> *properties.at(property); properties.erase(property); } xllcorner *= 1000; yllcorner *= 1000; cellsize *= 1000; std::vector vertices; vertices.reserve(ncols * nrows); GeoData mesh; mesh.lowerExtent = {xllcorner, yllcorner, std::numeric_limits::max()}; mesh.upperExtent = {xllcorner + (cellsize * (ncols - 1)), yllcorner + (cellsize * (nrows - 1)), std::numeric_limits::min()}; for (size_t row = 0; row < nrows; ++row) { for (size_t col = 0; col < ncols; ++col) { float heightf = 0; f >> heightf; const auto height = static_cast(std::round(heightf * 1000.F)); mesh.upperExtent.z = std::max(mesh.upperExtent.z, height); mesh.lowerExtent.z = std::min(mesh.lowerExtent.z, height); vertices.push_back(mesh.add_vertex({xllcorner + (col * cellsize), yllcorner + (row * cellsize), height})); } } if (!f.good()) { throw std::runtime_error("Couldn't read terrain file"); } for (size_t row = 1; row < nrows; ++row) { for (size_t col = 1; col < ncols; ++col) { mesh.add_face({ vertices[ncols * (row - 1) + (col - 1)], vertices[ncols * (row - 0) + (col - 0)], vertices[ncols * (row - 0) + (col - 1)], }); mesh.add_face({ vertices[ncols * (row - 1) + (col - 1)], vertices[ncols * (row - 1) + (col - 0)], vertices[ncols * (row - 0) + (col - 0)], }); } } mesh.update_vertex_normals_only(); return mesh; }; template constexpr static T GRID_SIZE = 10'000; GeoData GeoData::createFlat(GlobalPosition2D lower, GlobalPosition2D upper, GlobalDistance h) { GeoData mesh; mesh.lowerExtent = {lower, h}; mesh.upperExtent = {upper, h}; std::vector vertices; for (GlobalDistance row = lower.x; row < upper.x; row += GRID_SIZE) { for (GlobalDistance col = lower.y; col < upper.y; col += GRID_SIZE) { vertices.push_back(mesh.add_vertex({col, row, h})); } } const auto nrows = static_cast(std::ceil(float(upper.x - lower.x) / GRID_SIZE)); const auto ncols = static_cast(std::ceil(float(upper.y - lower.y) / GRID_SIZE)); for (size_t row = 1; row < nrows; ++row) { for (size_t col = 1; col < ncols; ++col) { mesh.add_face({ vertices[ncols * (row - 1) + (col - 1)], vertices[ncols * (row - 0) + (col - 0)], vertices[ncols * (row - 0) + (col - 1)], }); mesh.add_face({ vertices[ncols * (row - 1) + (col - 1)], vertices[ncols * (row - 1) + (col - 0)], vertices[ncols * (row - 0) + (col - 0)], }); } } mesh.update_vertex_normals_only(); return mesh; } OpenMesh::FaceHandle GeoData::findPoint(GlobalPosition2D p) const { return findPoint(p, *faces_begin()); } GeoData::PointFace::PointFace(const GlobalPosition2D p, const GeoData * mesh) : PointFace {p, mesh, *mesh->faces_begin()} { } GeoData::PointFace::PointFace(const GlobalPosition2D p, const GeoData * mesh, FaceHandle start) : PointFace {p, mesh->findPoint(p, start)} { } GeoData::FaceHandle GeoData::PointFace::face(const GeoData * mesh, FaceHandle start) const { if (_face.is_valid()) { assert(mesh->triangleContainsPoint(point, _face)); return _face; } else { return (_face = mesh->findPoint(point, start)); } } GeoData::FaceHandle GeoData::PointFace::face(const GeoData * mesh) const { return face(mesh, *mesh->faces_begin()); } namespace { template typename Op> [[nodiscard]] constexpr inline auto pointLineOp(const GlobalPosition2D p, const GlobalPosition2D e1, const GlobalPosition2D e2) { return Op {}(CalcDistance(e2.x - e1.x) * CalcDistance(p.y - e1.y), CalcDistance(e2.y - e1.y) * CalcDistance(p.x - e1.x)); } constexpr auto pointLeftOfLine = pointLineOp; constexpr auto pointLeftOfOrOnLine = pointLineOp; static_assert(pointLeftOfLine({1, 2}, {1, 1}, {2, 2})); static_assert(pointLeftOfLine({2, 1}, {2, 2}, {1, 1})); static_assert(pointLeftOfLine({2, 2}, {1, 2}, {2, 1})); static_assert(pointLeftOfLine({1, 1}, {2, 1}, {1, 2})); static_assert(pointLeftOfOrOnLine({310000000, 490000000}, {310000000, 490000000}, {310050000, 490050000})); static_assert(pointLeftOfOrOnLine({310000000, 490000000}, {310050000, 490050000}, {310000000, 490050000})); static_assert(pointLeftOfOrOnLine({310000000, 490000000}, {310000000, 490050000}, {310000000, 490000000})); [[nodiscard]] constexpr inline bool linesCross( const GlobalPosition2D a1, const GlobalPosition2D a2, const GlobalPosition2D b1, const GlobalPosition2D b2) { return (pointLeftOfLine(a2, b1, b2) == pointLeftOfLine(a1, b2, b1)) && (pointLeftOfLine(b1, a1, a2) == pointLeftOfLine(b2, a2, a1)); } static_assert(linesCross({1, 1}, {2, 2}, {1, 2}, {2, 1})); static_assert(linesCross({2, 2}, {1, 1}, {1, 2}, {2, 1})); [[nodiscard]] constexpr inline bool linesCrossLtR( const GlobalPosition2D a1, const GlobalPosition2D a2, const GlobalPosition2D b1, const GlobalPosition2D b2) { return pointLeftOfLine(a2, b1, b2) && pointLeftOfLine(a1, b2, b1) && pointLeftOfLine(b1, a1, a2) && pointLeftOfLine(b2, a2, a1); } static_assert(linesCrossLtR({1, 1}, {2, 2}, {1, 2}, {2, 1})); static_assert(!linesCrossLtR({2, 2}, {1, 1}, {1, 2}, {2, 1})); constexpr GlobalPosition3D positionOnTriangle(const GlobalPosition2D point, const GeoData::Triangle<3> & t) { const CalcPosition3D a = t[1] - t[0], b = t[2] - t[0]; const auto n = crossProduct(a, b); return {point, ((n.x * t[0].x) + (n.y * t[0].y) + (n.z * t[0].z) - (n.x * point.x) - (n.y * point.y)) / n.z}; } static_assert(positionOnTriangle({7, -2}, {{1, 2, 3}, {1, 0, 1}, {-2, 1, 0}}) == GlobalPosition3D {7, -2, 3}); } OpenMesh::FaceHandle GeoData::findPoint(GlobalPosition2D p, OpenMesh::FaceHandle f) const { while (f.is_valid() && !triangleContainsPoint(p, triangle<2>(f))) { for (auto next = cfh_iter(f); next.is_valid(); ++next) { f = opposite_face_handle(*next); if (f.is_valid()) { const auto e1 = point(to_vertex_handle(*next)); const auto e2 = point(to_vertex_handle(opposite_halfedge_handle(*next))); if (pointLeftOfLine(p, e1, e2)) { break; } } f.reset(); } } return f; } GlobalPosition3D GeoData::positionAt(const PointFace & p) const { return positionOnTriangle(p.point, triangle<3>(p.face(this))); } [[nodiscard]] GeoData::IntersectionResult GeoData::intersectRay(const Ray & ray) const { return intersectRay(ray, findPoint(ray.start)); } [[nodiscard]] GeoData::IntersectionResult GeoData::intersectRay(const Ray & ray, FaceHandle face) const { GeoData::IntersectionResult out; walkUntil(PointFace {ray.start, face}, ray.start.xy() + (ray.direction.xy() * RelativePosition2D(upperExtent.xy() - lowerExtent.xy())), [&out, &ray, this](FaceHandle face) { BaryPosition bari {}; RelativeDistance dist {}; const auto t = triangle<3>(face); if (ray.intersectTriangle(t.x, t.y, t.z, bari, dist)) { out.emplace(t * bari, face); return true; } return false; }); return out; } void GeoData::walk(const PointFace & from, const GlobalPosition2D to, const std::function & op) const { walkUntil(from, to, [&op](const auto & fh) { op(fh); return false; }); } void GeoData::walkUntil(const PointFace & from, const GlobalPosition2D to, const std::function & op) const { auto f = from.face(this); if (!f.is_valid()) { const auto entryEdge = findEntry(from.point, to); if (!entryEdge.is_valid()) { return; } f = opposite_face_handle(entryEdge); } FaceHandle previousFace; while (f.is_valid() && !op(f)) { for (auto next = cfh_iter(f); next.is_valid(); ++next) { f = opposite_face_handle(*next); if (f.is_valid() && f != previousFace) { const auto e1 = point(to_vertex_handle(*next)); const auto e2 = point(to_vertex_handle(opposite_halfedge_handle(*next))); if (linesCrossLtR(from.point, to, e1, e2)) { previousFace = f; break; } } f.reset(); } } } void GeoData::boundaryWalk(const std::function & op) const { boundaryWalk(op, findBoundaryStart()); } void GeoData::boundaryWalk(const std::function & op, HalfedgeHandle start) const { assert(is_boundary(start)); boundaryWalkUntil( [&op](auto heh) { op(heh); return false; }, start); } void GeoData::boundaryWalkUntil(const std::function & op) const { boundaryWalkUntil(op, findBoundaryStart()); } void GeoData::boundaryWalkUntil(const std::function & op, HalfedgeHandle start) const { assert(is_boundary(start)); if (!op(start)) { for (auto heh = next_halfedge_handle(start); heh != start; heh = next_halfedge_handle(heh)) { if (op(heh)) { break; } } } } GeoData::HalfedgeHandle GeoData::findEntry(const GlobalPosition2D from, const GlobalPosition2D to) const { HalfedgeHandle entry; boundaryWalkUntil([this, from, to, &entry](auto he) { const auto e1 = point(to_vertex_handle(he)); const auto e2 = point(to_vertex_handle(opposite_halfedge_handle(he))); if (linesCrossLtR(from, to, e1, e2)) { entry = he; return true; } return false; }); return entry; } bool GeoData::triangleContainsPoint(const GlobalPosition2D p, const Triangle<2> & t) { return pointLeftOfOrOnLine(p, t[0], t[1]) && pointLeftOfOrOnLine(p, t[1], t[2]) && pointLeftOfOrOnLine(p, t[2], t[0]); } bool GeoData::triangleContainsPoint(const GlobalPosition2D p, FaceHandle face) const { return triangleContainsPoint(p, triangle<2>(face)); } GeoData::HalfedgeHandle GeoData::findBoundaryStart() const { return *std::find_if(halfedges_begin(), halfedges_end(), [this](const auto heh) { return is_boundary(heh); }); } void GeoData::update_vertex_normals_only() { for (auto vh : all_vertices()) { Normal3D n; calc_vertex_normal_correct(vh, n); this->set_normal(vh, glm::normalize(n)); } } bool GeoData::triangleOverlapsTriangle(const Triangle<2> & a, const Triangle<2> & b) { return triangleContainsPoint(a.x, b) || triangleContainsPoint(a.y, b) || triangleContainsPoint(a.z, b) || triangleContainsPoint(b.x, a) || triangleContainsPoint(b.y, a) || triangleContainsPoint(b.z, a) || linesCross(a.x, a.y, b.x, b.y) || linesCross(a.x, a.y, b.y, b.z) || linesCross(a.x, a.y, b.z, b.x) || linesCross(a.y, a.z, b.x, b.y) || linesCross(a.y, a.z, b.y, b.z) || linesCross(a.y, a.z, b.z, b.x) || linesCross(a.z, a.x, b.x, b.y) || linesCross(a.z, a.x, b.y, b.z) || linesCross(a.z, a.x, b.z, b.x); } bool GeoData::triangleContainsTriangle(const Triangle<2> & a, const Triangle<2> & b) { return triangleContainsPoint(a.x, b) && triangleContainsPoint(a.y, b) && triangleContainsPoint(a.z, b); } void GeoData::setHeights(const std::span triangleStrip) { std::set nosplit; // Create new vertices std::vector newVerts; newVerts.reserve(newVerts.size()); std::transform(triangleStrip.begin(), triangleStrip.end(), std::back_inserter(newVerts), [this](const auto tsVert) { return add_vertex(tsVert); }); // Create new faces std::vector newFaces; newFaces.reserve(newVerts.size() - 2); std::transform(strip_begin(newVerts), strip_end(newVerts), std::back_inserter(newFaces), [this, &nosplit](const auto & newVert) { const auto [a, b, c] = newVert; auto faceHandle = add_face(a, b, c); std::copy(fe_begin(faceHandle), fe_end(faceHandle), std::inserter(nosplit, nosplit.end())); return faceHandle; }); std::vector boundary; boundaryWalk( [out = std::back_inserter(boundary)](const auto boundaryHeh) mutable { out = boundaryHeh; }, *voh_begin(newVerts.front())); // Extrude corners std::set cutpoints; std::vector> extrusionExtents; std::vector extrusionVertices; std::transform(boundary.begin(), boundary.end(), std::back_inserter(extrusionExtents), [this, &nosplit, &cutpoints, &extrusionVertices](const auto boundaryHeh) { const auto vectorNormal = [](const glm::vec<2, T, Q> & v) -> glm::vec<2, T, Q> { return {-v.y, v.x}; }; const auto p0 = point(from_vertex_handle(prev_halfedge_handle(boundaryHeh))); const auto p1 = point(from_vertex_handle(boundaryHeh)); const auto p2 = point(to_vertex_handle(boundaryHeh)); const auto e0 = glm::normalize(vectorNormal(RelativePosition2D(p1 - p0))); const auto e1 = glm::normalize(vectorNormal(RelativePosition2D(p2 - p1))); const auto mid = glm::normalize((e0 + e1) / 2.F); const auto doExtrusion = [mid, p1, this, &nosplit, &cutpoints, &extrusionVertices]( RelativeDistance vert, GlobalDistance limit) { const auto extrusionDir = glm::normalize(mid || vert); if (const auto intersect = intersectRay({p1, extrusionDir})) { auto splitVertex = split(intersect->second, intersect->first); cutpoints.insert(splitVertex); extrusionVertices.push_back(splitVertex); std::copy(ve_begin(splitVertex), ve_end(splitVertex), std::inserter(nosplit, nosplit.end())); } const auto extrusion = extrusionDir * std::max(0.F, RelativeDistance(limit - p1.z) / extrusionDir.z); return p1 + extrusion; }; return std::make_pair(doExtrusion(-2, lowerExtent.z - 100), doExtrusion(2, upperExtent.z + 100)); }); // Cut existing terrain extrusionExtents.emplace_back(extrusionExtents.front()); // Circular next extrusionVertices.emplace_back(extrusionVertices.front()); std::vector> boundaryFaces; std::transform(boundary.begin(), boundary.end(), std ::back_inserter(boundaryFaces), [ex = extrusionExtents.begin(), exv = extrusionVertices.begin(), this, &nosplit]( const auto boundaryHeh) mutable { const auto fromVertex = from_vertex_handle(boundaryHeh); const auto p0 = point(fromVertex); auto toVertex = to_vertex_handle(boundaryHeh); const auto p1 = point(toVertex); const auto nex = ex + 1; const auto nexv = exv + 1; const std::array, 4> triangles {{ {p0, ex->first, nex->first}, {p0, p1, nex->first}, {p0, ex->second, nex->second}, {p0, p1, nex->second}, }}; std::vector sideVerts {fromVertex, *exv}; for (auto currentVertex = *exv; std::any_of(voh_begin(currentVertex), voh_end(currentVertex), [&](const auto currentVertexOut) { const auto next = next_halfedge_handle(currentVertexOut); const auto nextVertex = to_vertex_handle(next); const auto startVertex = from_vertex_handle(next); if (nextVertex == *++sideVerts.rbegin()) { // This half edge goes back to the previous vertex return false; } if (nextVertex == *nexv) { // The next half edge goes to the termination point return false; } const auto edge = edge_handle(next); if (nosplit.contains(edge)) { // This edge should not be split (for some reason, maybe no longer applies) return false; } const auto ep0 = point(startVertex); const auto ep1 = point(nextVertex); const auto diff = RelativePosition3D(ep1 - ep0); const auto length = glm::length(diff); const auto dir = diff / length; const Ray r {ep0, dir}; return std::any_of(triangles.begin(), triangles.end(), [&](const auto & triangle) { BaryPosition bary; RelativeDistance dist {}; if (r.intersectTriangle(triangle.x, triangle.y, triangle.z, bary, dist) && dist <= length - 1 && dist >= 1) { const auto splitPos = triangle * bary; currentVertex = sideVerts.emplace_back(split(edge, splitPos)); return true; } return false; }); });) { ; } sideVerts.emplace_back(*nexv); sideVerts.emplace_back(toVertex); ex = nex; exv++; return sideVerts; }); // Remove old faces std::set visited; auto removeOld = [&](auto & self, const auto face) -> void { if (visited.insert(face).second) { std::vector neighbourFaces; std::for_each(fh_begin(face), fh_end(face), [&](const auto fh) { if (std::none_of(boundaryFaces.begin(), boundaryFaces.end(), [fh, this](const auto & bf) { return std::find(bf.begin(), bf.end(), from_vertex_handle(fh)) != bf.end() && std::find(bf.begin(), bf.end(), to_vertex_handle(fh)) != bf.end(); })) { neighbourFaces.emplace_back(opposite_face_handle(fh)); } }); delete_face(face, false); std::for_each(neighbourFaces.begin(), neighbourFaces.end(), [&self](const auto nextFace) { if (nextFace.is_valid()) { self(self, nextFace); } }); } }; removeOld(removeOld, findPoint(triangleStrip.front())); std::for_each(boundaryFaces.begin(), boundaryFaces.end(), [&](auto & boundaryFace) { std::reverse(boundaryFace.begin(), boundaryFace.end()); add_face(boundaryFace); }); // Tidy up garbage_collection(); update_vertex_normals_only(); }