#include "geoData.h" #include "collections.h" #include "geometricPlane.h" #include #include #include #include #include GeoData::GeoData() { add_property(surface); } 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.updateAllVertexNormals(); return mesh; }; constexpr static GlobalDistance GRID_SIZE = 10'000; GeoData GeoData::createFlat(GlobalPosition2D lower, GlobalPosition2D upper, GlobalDistance h) { assert((upper - lower) % GRID_SIZE == GlobalPosition2D {}); 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 n = glm::vec<2, size_t> {((upper - lower) / GRID_SIZE) + 1}; for (auto row = 1U; row < n.x; ++row) { for (auto col = 1U; col < n.y; ++col) { mesh.add_face({ vertices[n.y * (row - 1) + (col - 1)], vertices[n.y * (row - 0) + (col - 0)], vertices[n.y * (row - 0) + (col - 1)], }); mesh.add_face({ vertices[n.y * (row - 1) + (col - 1)], vertices[n.y * (row - 1) + (col - 0)], vertices[n.y * (row - 0) + (col - 0)], }); } } mesh.updateAllVertexNormals(); return mesh; } OpenMesh::FaceHandle GeoData::findPoint(GlobalPosition2D p) const { return findPoint(p, *faces_sbegin()); } GeoData::PointFace::PointFace(const GlobalPosition2D p, const GeoData * mesh) : PointFace {p, mesh, *mesh->faces_sbegin()} { } 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_sbegin()); } 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_sbegin(), halfedges_end(), [this](const auto heh) { return is_boundary(heh); }); } [[nodiscard]] RelativePosition3D GeoData::difference(const HalfedgeHandle heh) const { return ::difference(point(to_vertex_handle(heh)), point(from_vertex_handle(heh))); } [[nodiscard]] RelativeDistance GeoData::length(const HalfedgeHandle heh) const { return glm::length(difference(heh)); } [[nodiscard]] GlobalPosition3D GeoData::centre(const HalfedgeHandle heh) const { return point(from_vertex_handle(heh)) + (difference(heh) / 2.F); } void GeoData::updateAllVertexNormals() { updateAllVertexNormals(vertices()); } template void GeoData::updateAllVertexNormals(const R & range) { std::ranges::for_each(range, [this](const auto vertex) { updateVertexNormal(vertex); }); } void GeoData::updateVertexNormal(VertexHandle vertex) { Normal3D n; calc_vertex_normal_correct(vertex, n); set_normal(vertex, 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, const SetHeightsOpts & opts) { if (triangleStrip.size() < 3) { return; } const auto stripMinMax = std::ranges::minmax(triangleStrip, {}, &GlobalPosition3D::z); lowerExtent.z = std::min(upperExtent.z, stripMinMax.min.z); upperExtent.z = std::max(upperExtent.z, stripMinMax.max.z); const auto vertexDistFrom = [this](GlobalPosition2D p) { return [p, this](const VertexHandle v) { return std::make_pair(v, glm::length(::difference(p, this->point(v).xy()))); }; }; const auto vertexDistFromE = [this](GlobalPosition2D p) { return [p, this](const HalfedgeHandle e) { const auto fromPoint = point(from_vertex_handle(e)).xy(); const auto toPoint = point(to_vertex_handle(e)).xy(); return std::make_pair(e, Triangle<2> {fromPoint, toPoint, p}.height()); }; }; std::set newOrChangedVerts; auto addVertexForNormalUpdate = [this, &newOrChangedVerts](const VertexHandle vertex) { newOrChangedVerts.emplace(vertex); std::ranges::copy(vv_range(vertex), std::inserter(newOrChangedVerts, newOrChangedVerts.end())); }; auto newVertexOnFace = [this, &vertexDistFrom, &opts, &vertexDistFromE](GlobalPosition3D tsPoint) { const auto face = findPoint(tsPoint); // Check vertices if (const auto nearest = std::ranges::min( std::views::iota(fv_begin(face), fv_end(face)) | std::views::transform(vertexDistFrom(tsPoint)), {}, &std::pair::second); nearest.second < opts.nearNodeTolerance) { return nearest.first; } // Check edges if (const auto nearest = std::ranges::min( std::views::iota(fh_begin(face), fh_end(face)) | std::views::transform(vertexDistFromE(tsPoint)), {}, &std::pair::second); nearest.second < opts.nearNodeTolerance) { const auto from = point(from_vertex_handle(nearest.first)).xy(); const auto to = point(to_vertex_handle(nearest.first)).xy(); const auto v = vector_normal(from - to); const auto inter = linesIntersectAt(from, to, tsPoint.xy(), tsPoint.xy() + v); if (!inter) { throw std::runtime_error("Perpendicular lines do not cross"); } return split(edge_handle(nearest.first), *inter || tsPoint.z); } // Nothing close, split face return split(face, tsPoint); }; // New vertices for each vertex in triangleStrip std::vector newVerts; newVerts.reserve(triangleStrip.size()); std::transform(triangleStrip.begin(), triangleStrip.end(), std::back_inserter(newVerts), newVertexOnFace); std::ranges::for_each(newVerts, addVertexForNormalUpdate); // Create temporary triangles from triangleStrip std::vector> strip; std::transform( strip_begin(triangleStrip), strip_end(triangleStrip), std::back_inserter(strip), [](const auto & newVert) { const auto [a, b, c] = newVert; return Triangle<3> {a, b, c}; }); auto getTriangle = [&strip](const auto point) -> const Triangle<3> * { if (const auto t = std::ranges::find_if(strip, [point](const auto & triangle) { return triangleContainsPoint(point, triangle); }); t != strip.end()) { return &*t; } return nullptr; }; // Cut along each edge of triangleStrip AB, AC, BC, BD, CD, CE etc std::map *> boundaryTriangles; auto doBoundaryPart = [this, &boundaryTriangles, &newVerts, &vertexDistFrom, &opts, &addVertexForNormalUpdate]( VertexHandle start, VertexHandle end, const Triangle<3> & triangle) { boundaryTriangles.emplace(start, &triangle); const auto endPoint = point(end); while (!std::ranges::contains(vv_range(start), end) && std::ranges::any_of(voh_range(start), [&](const auto & outHalf) { const auto next = next_halfedge_handle(outHalf); const auto startPoint = point(start); const auto nexts = std::array {from_vertex_handle(next), to_vertex_handle(next)}; const auto nextPoints = nexts | std::views::transform([this](const auto v) { return std::make_pair(v, this->point(v)); }); if (linesCross(startPoint, endPoint, nextPoints.front().second, nextPoints.back().second)) { if (const auto intersection = linesIntersectAt(startPoint.xy(), endPoint.xy(), nextPoints.front().second.xy(), nextPoints.back().second.xy())) { if (const auto nextDist = std::ranges::min(nexts | std::views::transform(vertexDistFrom(*intersection)), {}, &std::pair::second); nextDist.second < opts.nearNodeTolerance && !boundaryTriangles.contains(nextDist.first) && !std::ranges::contains(newVerts, nextDist.first)) { start = nextDist.first; point(start) = positionOnTriangle(*intersection, triangle); } else { start = split(edge_handle(next), positionOnTriangle(*intersection, triangle)); } addVertexForNormalUpdate(start); boundaryTriangles.emplace(start, &triangle); return true; } } return false; })) { } }; auto doBoundary = [&doBoundaryPart, triangle = strip.begin()](const auto & verts) mutable { const auto & [a, b, c] = verts; doBoundaryPart(a, b, *triangle); doBoundaryPart(a, c, *triangle); triangle++; }; std::ranges::for_each(newVerts | std::views::adjacent<3>, doBoundary); doBoundaryPart(*++newVerts.rbegin(), newVerts.back(), *strip.rbegin()); std::set done; std::set todo; auto todoOutHalfEdges = [&todo, &done, this](const VertexHandle v) { std::copy_if(voh_begin(v), voh_end(v), std::inserter(todo, todo.end()), [&done](const auto & h) { return !done.contains(h); }); }; std::ranges::for_each(newVerts, todoOutHalfEdges); while (!todo.empty()) { const auto heh = todo.extract(todo.begin()).value(); const auto fromVertex = from_vertex_handle(heh); const auto toVertex = to_vertex_handle(heh); const auto & fromPoint = point(fromVertex); auto & toPoint = point(toVertex); auto toTriangle = getTriangle(toPoint); if (!toTriangle) { if (const auto boundaryVertex = boundaryTriangles.find(toVertex); boundaryVertex != boundaryTriangles.end()) { toTriangle = boundaryVertex->second; } } if (toTriangle) { // point within the new strip, adjust vertically by triangle toPoint.z = positionOnTriangle(toPoint, *toTriangle).z; addVertexForNormalUpdate(toVertex); todoOutHalfEdges(toVertex); } else if (!toTriangle) { // point without the new strip, adjust vertically by limit const auto maxOffset = static_cast(opts.maxSlope * glm::length(difference(heh).xy())); const auto newHeight = std::clamp(toPoint.z, fromPoint.z - maxOffset, fromPoint.z + maxOffset); if (newHeight != toPoint.z) { toPoint.z = newHeight; addVertexForNormalUpdate(toVertex); std::copy_if(voh_begin(toVertex), voh_end(toVertex), std::inserter(todo, todo.end()), [this, &boundaryTriangles](const auto & heh) { return !boundaryTriangles.contains(to_vertex_handle(heh)); }); } } done.insert(heh); } auto surfaceStripWalk = [this, &getTriangle, &opts](const auto & surfaceStripWalk, const auto & face) -> void { if (!property(surface, face)) { property(surface, face) = &opts.surface; std::ranges::for_each( ff_range(face), [this, &getTriangle, &surfaceStripWalk](const auto & adjacentFaceHandle) { if (getTriangle(this->triangle<2>(adjacentFaceHandle).centroid())) { surfaceStripWalk(surfaceStripWalk, adjacentFaceHandle); } }); } }; surfaceStripWalk(surfaceStripWalk, findPoint(strip.front().centroid())); updateAllVertexNormals(newOrChangedVerts); }