From a4604003cb2651e1380e497cebec444a5d7019cf Mon Sep 17 00:00:00 2001 From: "copilot-swe-agent[bot]" <198982749+Copilot@users.noreply.github.com> Date: Sat, 31 Jan 2026 07:35:58 +0000 Subject: [PATCH 1/7] Initial plan From d10fa7620eb79dfcb9168b8d431d68cc582a76ed Mon Sep 17 00:00:00 2001 From: "copilot-swe-agent[bot]" <198982749+Copilot@users.noreply.github.com> Date: Sat, 31 Jan 2026 07:46:40 +0000 Subject: [PATCH 2/7] Add Triangulate_Planar_Contour_Connectivity function for triangulating gap between planar contours Co-authored-by: hdclark <934858+hdclark@users.noreply.github.com> --- src/YgorMathContourConnectivity.cc | 351 +++++++++++++++++++++++ src/YgorMathContourConnectivity.h | 48 ++++ tests2/YgorMath/contour_connectivity.cc | 363 ++++++++++++++++++++++++ tests2/run_connectivity_tests | Bin 0 -> 573432 bytes tests2/run_tests | Bin 0 -> 3228472 bytes 5 files changed, 762 insertions(+) create mode 100644 src/YgorMathContourConnectivity.cc create mode 100644 src/YgorMathContourConnectivity.h create mode 100644 tests2/YgorMath/contour_connectivity.cc create mode 100755 tests2/run_connectivity_tests create mode 100755 tests2/run_tests diff --git a/src/YgorMathContourConnectivity.cc b/src/YgorMathContourConnectivity.cc new file mode 100644 index 0000000..5cb7296 --- /dev/null +++ b/src/YgorMathContourConnectivity.cc @@ -0,0 +1,351 @@ +//YgorMathContourConnectivity.cc + +#include +#include +#include +#include +#include +#include +#include +#include +#include + +#include "YgorMath.h" +#include "YgorMathContourConnectivity.h" + +// Helper structure for 2D projected vertex with source information. +template +struct ProjectedVertex { + vec2 pos_2d; // 2D position in the projection plane + vec3 pos_3d; // Original 3D position + size_t vertex_index; // Index in the output mesh vertices array + bool is_top; // True if from top collection, false if from bottom + size_t contour_index; // Index of the contour within the collection + size_t point_index; // Index of the point within the contour +}; + +// Helper struct for edge representation. +struct Edge { + size_t v1, v2; + + Edge(size_t a, size_t b) : v1(std::min(a, b)), v2(std::max(a, b)) {} + + bool operator<(const Edge &other) const { + if (v1 != other.v1) return v1 < other.v1; + return v2 < other.v2; + } + + bool operator==(const Edge &other) const { + return v1 == other.v1 && v2 == other.v2; + } +}; + +template +fv_surface_mesh +Triangulate_Planar_Contour_Connectivity( + const contour_collection &top_cc, + const contour_collection &bottom_cc, + T distance_eps +){ + using IndexType = uint64_t; + + fv_surface_mesh mesh; + + // Validate inputs + if (top_cc.contours.empty()) { + throw std::invalid_argument("Top contour collection is empty."); + } + if (bottom_cc.contours.empty()) { + throw std::invalid_argument("Bottom contour collection is empty."); + } + + // Collect all vertices from both collections and estimate plane normal. + // We'll project onto a plane perpendicular to the separation between planes. + vec3 avg_top_point(static_cast(0), static_cast(0), static_cast(0)); + vec3 avg_bottom_point(static_cast(0), static_cast(0), static_cast(0)); + size_t top_count = 0; + size_t bottom_count = 0; + + for (const auto &contour : top_cc.contours) { + for (const auto &pt : contour.points) { + avg_top_point += pt; + ++top_count; + } + } + for (const auto &contour : bottom_cc.contours) { + for (const auto &pt : contour.points) { + avg_bottom_point += pt; + ++bottom_count; + } + } + + if (top_count == 0 || bottom_count == 0) { + throw std::invalid_argument("Contour collections contain no vertices."); + } + + avg_top_point /= static_cast(top_count); + avg_bottom_point /= static_cast(bottom_count); + + // Compute the plane separation direction (from bottom to top) + vec3 separation = avg_top_point - avg_bottom_point; + const T separation_dist = separation.length(); + + if (separation_dist < distance_eps) { + throw std::runtime_error("Top and bottom planes appear to be coincident."); + } + + // Plane normal is the direction perpendicular to both planes + vec3 plane_normal = separation.unit(); + + // Create orthonormal basis for 2D projection. + // U and V will span the projection plane, N is the normal. + vec3 U, V; + + // Find a vector not parallel to plane_normal + vec3 arbitrary(static_cast(1), static_cast(0), static_cast(0)); + if (std::abs(plane_normal.Dot(arbitrary)) > static_cast(0.9)) { + arbitrary = vec3(static_cast(0), static_cast(1), static_cast(0)); + } + + U = plane_normal.Cross(arbitrary).unit(); + V = plane_normal.Cross(U).unit(); + + // Projection origin (midpoint between average points) + vec3 proj_origin = (avg_top_point + avg_bottom_point) / static_cast(2); + + // Lambda to project 3D point to 2D + auto project_to_2d = [&](const vec3 &pt) -> vec2 { + vec3 rel = pt - proj_origin; + return vec2(rel.Dot(U), rel.Dot(V)); + }; + + // Collect all projected vertices + std::vector> projected_verts; + + // Add all vertices from both collections to the mesh and create projections + size_t contour_idx = 0; + for (const auto &contour : top_cc.contours) { + size_t pt_idx = 0; + for (const auto &pt : contour.points) { + ProjectedVertex pv; + pv.pos_3d = pt; + pv.pos_2d = project_to_2d(pt); + pv.vertex_index = mesh.vertices.size(); + pv.is_top = true; + pv.contour_index = contour_idx; + pv.point_index = pt_idx; + + mesh.vertices.push_back(pt); + projected_verts.push_back(pv); + ++pt_idx; + } + ++contour_idx; + } + + contour_idx = 0; + for (const auto &contour : bottom_cc.contours) { + size_t pt_idx = 0; + for (const auto &pt : contour.points) { + ProjectedVertex pv; + pv.pos_3d = pt; + pv.pos_2d = project_to_2d(pt); + pv.vertex_index = mesh.vertices.size(); + pv.is_top = false; + pv.contour_index = contour_idx; + pv.point_index = pt_idx; + + mesh.vertices.push_back(pt); + projected_verts.push_back(pv); + ++pt_idx; + } + ++contour_idx; + } + + // Build index mappings for top contour vertices + size_t global_idx = 0; + for (const auto &contour : top_cc.contours) { + global_idx += contour.points.size(); + } + + const size_t top_vertex_count = global_idx; + + // Now we need to triangulate the gap between top and bottom contours. + // We use a greedy approach that connects vertices from both planes: + // 1. For each contour edge on one plane, find nearby vertices on the other plane + // 2. Create triangles connecting them + + // Sort projected vertices by angle around centroid for better connectivity + vec2 centroid_2d(static_cast(0), static_cast(0)); + for (const auto &pv : projected_verts) { + centroid_2d += pv.pos_2d; + } + centroid_2d /= static_cast(projected_verts.size()); + + // Helper to compute angle from centroid + auto angle_from_centroid = [¢roid_2d](const vec2 &pos) -> T { + vec2 delta = pos - centroid_2d; + return std::atan2(delta.y, delta.x); + }; + + // Create lists of top and bottom vertex indices sorted by angle + std::vector top_indices, bottom_indices; + for (size_t i = 0; i < projected_verts.size(); ++i) { + if (projected_verts[i].is_top) { + top_indices.push_back(i); + } else { + bottom_indices.push_back(i); + } + } + + // Sort by angle + auto sort_by_angle = [&](std::vector &indices) { + std::sort(indices.begin(), indices.end(), [&](size_t a, size_t b) { + return angle_from_centroid(projected_verts[a].pos_2d) < + angle_from_centroid(projected_verts[b].pos_2d); + }); + }; + + sort_by_angle(top_indices); + sort_by_angle(bottom_indices); + + // Use a sweep approach to connect vertices. + // For each vertex on the top, find the closest vertex on the bottom and vice versa. + // Then create triangles. + + auto find_closest_on_other_plane = [&](size_t idx, bool from_top) -> size_t { + const auto &pos = projected_verts[idx].pos_2d; + const auto &other_indices = from_top ? bottom_indices : top_indices; + + size_t closest = other_indices[0]; + T min_dist = (projected_verts[closest].pos_2d - pos).sq_length(); + + for (size_t i = 1; i < other_indices.size(); ++i) { + T dist = (projected_verts[other_indices[i]].pos_2d - pos).sq_length(); + if (dist < min_dist) { + min_dist = dist; + closest = other_indices[i]; + } + } + return closest; + }; + + // Helper to check if triangle is valid (proper orientation and no edge crossings) + // Use 3D area calculation since the triangles span between the two planes + auto is_valid_triangle = [&](size_t v0, size_t v1, size_t v2) -> bool { + const auto &p0_3d = projected_verts[v0].pos_3d; + const auto &p1_3d = projected_verts[v1].pos_3d; + const auto &p2_3d = projected_verts[v2].pos_3d; + + // Calculate 3D triangle area using cross product + const vec3 edge1 = p1_3d - p0_3d; + const vec3 edge2 = p2_3d - p0_3d; + const vec3 cross = edge1.Cross(edge2); + const T area = cross.length() / static_cast(2); + + if (area < distance_eps * distance_eps) { + return false; + } + + return true; + }; + + // Process each contour edge and try to form triangles with vertices on the other plane + std::set> added_triangles; + + auto add_triangle_if_valid = [&](size_t v0, size_t v1, size_t v2) { + // Normalize triangle vertex order + std::array tri = {v0, v1, v2}; + std::sort(tri.begin(), tri.end()); + + auto key = std::make_tuple(tri[0], tri[1], tri[2]); + if (added_triangles.count(key) > 0) { + return; // Already added + } + + if (is_valid_triangle(v0, v1, v2)) { + added_triangles.insert(key); + mesh.faces.push_back({static_cast(projected_verts[v0].vertex_index), + static_cast(projected_verts[v1].vertex_index), + static_cast(projected_verts[v2].vertex_index)}); + } + }; + + // Triangulate by iterating through contour edges and connecting to nearest vertices on other plane + // Process top contour edges + global_idx = 0; + for (const auto &contour : top_cc.contours) { + const size_t n = contour.points.size(); + if (n < 2) { + global_idx += n; + continue; + } + + for (size_t i = 0; i < n; ++i) { + size_t next = (i + 1) % n; + if (!contour.closed && next == 0) continue; + + size_t ti1 = global_idx + i; + size_t ti2 = global_idx + next; + + // Find nearest bottom vertices to both top vertices + size_t bi1 = find_closest_on_other_plane(ti1, true); + size_t bi2 = find_closest_on_other_plane(ti2, true); + + // Create triangles + if (bi1 != bi2) { + // Two triangles forming a quad + add_triangle_if_valid(ti1, ti2, bi1); + add_triangle_if_valid(ti2, bi2, bi1); + } else { + // Single triangle + add_triangle_if_valid(ti1, ti2, bi1); + } + } + global_idx += n; + } + + // Process bottom contour edges + global_idx = top_vertex_count; + for (const auto &contour : bottom_cc.contours) { + const size_t n = contour.points.size(); + if (n < 2) { + global_idx += n; + continue; + } + + for (size_t i = 0; i < n; ++i) { + size_t next = (i + 1) % n; + if (!contour.closed && next == 0) continue; + + size_t bi1 = global_idx + i; + size_t bi2 = global_idx + next; + + // Find nearest top vertices to both bottom vertices + size_t ti1 = find_closest_on_other_plane(bi1, false); + size_t ti2 = find_closest_on_other_plane(bi2, false); + + // Create triangles + if (ti1 != ti2) { + // Two triangles forming a quad + add_triangle_if_valid(bi1, bi2, ti1); + add_triangle_if_valid(bi2, ti2, ti1); + } else { + // Single triangle + add_triangle_if_valid(bi1, bi2, ti1); + } + } + global_idx += n; + } + + if (mesh.faces.empty()) { + throw std::runtime_error("Triangulation produced no valid triangles."); + } + + return mesh; +} + +// Template instantiations +#ifndef YGORMATH_DISABLE_ALL_SPECIALIZATIONS + template fv_surface_mesh Triangulate_Planar_Contour_Connectivity(const contour_collection &, const contour_collection &, float ); + template fv_surface_mesh Triangulate_Planar_Contour_Connectivity(const contour_collection &, const contour_collection &, double); +#endif diff --git a/src/YgorMathContourConnectivity.h b/src/YgorMathContourConnectivity.h new file mode 100644 index 0000000..85d76ab --- /dev/null +++ b/src/YgorMathContourConnectivity.h @@ -0,0 +1,48 @@ +//YgorMathContourConnectivity.h + +#ifndef YGOR_MATH_CONTOUR_CONNECTIVITY_H_ +#define YGOR_MATH_CONTOUR_CONNECTIVITY_H_ + +#include "YgorMath.h" + +//--------------------------------------------------------------------------------------------------------------------------- +//---------- contour connectivity: triangulate the gap between two planar contour collections on offset planes ------------- +//--------------------------------------------------------------------------------------------------------------------------- +// +// This function computes the triangulation between two sets of planar contours that lie on parallel, offset planes. +// The input consists of two contour_collections: 'top' and 'bottom', where all contours within each collection +// are coincident on a common plane. The planes are assumed to be coplanar (parallel) but separated by an +// arbitrary distance. +// +// The function projects all vertices onto a common 2D plane and then computes a triangulation that connects the +// vertices of the top collection to the vertices of the bottom collection, creating a surface mesh that bridges +// the gap between the two planes. +// +// Key features: +// - Handles multiple contours within each collection (polygons with holes) +// - Respects contour orientation: opposing orientations denote holes +// - Does not assume the polygons are simple or monotone +// - The output mesh is not watertight, but represents surface patches bridging the planes +// +// Parameters: +// - top_cc: contour_collection with all contours lying on the 'top' plane +// - bottom_cc: contour_collection with all contours lying on the 'bottom' plane +// - distance_eps: tolerance for distance comparisons (default: 1E-6) +// +// Returns: +// - fv_surface_mesh containing the triangulated surface bridging the two planes +// +// Throws: +// - std::invalid_argument if either collection is empty +// - std::runtime_error if triangulation fails +// + +template +fv_surface_mesh +Triangulate_Planar_Contour_Connectivity( + const contour_collection &top_cc, + const contour_collection &bottom_cc, + T distance_eps = static_cast(1E-6) +); + +#endif // YGOR_MATH_CONTOUR_CONNECTIVITY_H_ diff --git a/tests2/YgorMath/contour_connectivity.cc b/tests2/YgorMath/contour_connectivity.cc new file mode 100644 index 0000000..2b1965b --- /dev/null +++ b/tests2/YgorMath/contour_connectivity.cc @@ -0,0 +1,363 @@ + +#include +#include +#include +#include +#include +#include + +#include +#include + +#include "doctest/doctest.h" + + +TEST_CASE( "Triangulate_Planar_Contour_Connectivity basic tests" ){ + + SUBCASE("simple square contours on parallel planes"){ + // Create a simple square contour on the top plane (z = 1) + contour_collection top_cc; + top_cc.contours.emplace_back(); + top_cc.contours.back().closed = true; + top_cc.contours.back().points.emplace_back(vec3(0.0, 0.0, 1.0)); + top_cc.contours.back().points.emplace_back(vec3(1.0, 0.0, 1.0)); + top_cc.contours.back().points.emplace_back(vec3(1.0, 1.0, 1.0)); + top_cc.contours.back().points.emplace_back(vec3(0.0, 1.0, 1.0)); + + // Create a matching square contour on the bottom plane (z = 0) + contour_collection bottom_cc; + bottom_cc.contours.emplace_back(); + bottom_cc.contours.back().closed = true; + bottom_cc.contours.back().points.emplace_back(vec3(0.0, 0.0, 0.0)); + bottom_cc.contours.back().points.emplace_back(vec3(1.0, 0.0, 0.0)); + bottom_cc.contours.back().points.emplace_back(vec3(1.0, 1.0, 0.0)); + bottom_cc.contours.back().points.emplace_back(vec3(0.0, 1.0, 0.0)); + + // Triangulate the gap + auto mesh = Triangulate_Planar_Contour_Connectivity(top_cc, bottom_cc); + + // Check that we have vertices (4 from top + 4 from bottom = 8) + REQUIRE(mesh.vertices.size() == 8); + + // Check that we have triangles (should have triangles connecting the two squares) + REQUIRE(mesh.faces.size() > 0); + + // All faces should be triangles + for (const auto &face : mesh.faces) { + REQUIRE(face.size() == 3); + } + + // Surface area should be positive + REQUIRE(mesh.surface_area() > 0.0); + } + + SUBCASE("triangular contours on parallel planes"){ + // Create a simple triangle on the top plane + contour_collection top_cc; + top_cc.contours.emplace_back(); + top_cc.contours.back().closed = true; + top_cc.contours.back().points.emplace_back(vec3(0.0, 0.0, 2.0)); + top_cc.contours.back().points.emplace_back(vec3(2.0, 0.0, 2.0)); + top_cc.contours.back().points.emplace_back(vec3(1.0, 1.732, 2.0)); + + // Create a matching triangle on the bottom plane + contour_collection bottom_cc; + bottom_cc.contours.emplace_back(); + bottom_cc.contours.back().closed = true; + bottom_cc.contours.back().points.emplace_back(vec3(0.0, 0.0, 0.0)); + bottom_cc.contours.back().points.emplace_back(vec3(2.0, 0.0, 0.0)); + bottom_cc.contours.back().points.emplace_back(vec3(1.0, 1.732, 0.0)); + + auto mesh = Triangulate_Planar_Contour_Connectivity(top_cc, bottom_cc); + + // Check vertices (3 + 3 = 6) + REQUIRE(mesh.vertices.size() == 6); + + // Check that we have triangles + REQUIRE(mesh.faces.size() > 0); + + // Surface area should be positive + REQUIRE(mesh.surface_area() > 0.0); + } + + SUBCASE("empty top collection throws"){ + contour_collection top_cc; + + contour_collection bottom_cc; + bottom_cc.contours.emplace_back(); + bottom_cc.contours.back().closed = true; + bottom_cc.contours.back().points.emplace_back(vec3(0.0, 0.0, 0.0)); + + REQUIRE_THROWS_AS( + Triangulate_Planar_Contour_Connectivity(top_cc, bottom_cc), + std::invalid_argument + ); + } + + SUBCASE("empty bottom collection throws"){ + contour_collection top_cc; + top_cc.contours.emplace_back(); + top_cc.contours.back().closed = true; + top_cc.contours.back().points.emplace_back(vec3(0.0, 0.0, 1.0)); + + contour_collection bottom_cc; + + REQUIRE_THROWS_AS( + Triangulate_Planar_Contour_Connectivity(top_cc, bottom_cc), + std::invalid_argument + ); + } + + SUBCASE("coincident planes throws"){ + contour_collection top_cc; + top_cc.contours.emplace_back(); + top_cc.contours.back().closed = true; + top_cc.contours.back().points.emplace_back(vec3(0.0, 0.0, 0.0)); + top_cc.contours.back().points.emplace_back(vec3(1.0, 0.0, 0.0)); + top_cc.contours.back().points.emplace_back(vec3(1.0, 1.0, 0.0)); + + contour_collection bottom_cc; + bottom_cc.contours.emplace_back(); + bottom_cc.contours.back().closed = true; + bottom_cc.contours.back().points.emplace_back(vec3(0.0, 0.0, 0.0)); + bottom_cc.contours.back().points.emplace_back(vec3(1.0, 0.0, 0.0)); + bottom_cc.contours.back().points.emplace_back(vec3(1.0, 1.0, 0.0)); + + REQUIRE_THROWS_AS( + Triangulate_Planar_Contour_Connectivity(top_cc, bottom_cc), + std::runtime_error + ); + } +} + +TEST_CASE( "Triangulate_Planar_Contour_Connectivity with multiple contours" ){ + + SUBCASE("two separate squares on each plane (separate contours)"){ + // Top plane: two separate squares + contour_collection top_cc; + + // First square + top_cc.contours.emplace_back(); + top_cc.contours.back().closed = true; + top_cc.contours.back().points.emplace_back(vec3(0.0, 0.0, 1.0)); + top_cc.contours.back().points.emplace_back(vec3(1.0, 0.0, 1.0)); + top_cc.contours.back().points.emplace_back(vec3(1.0, 1.0, 1.0)); + top_cc.contours.back().points.emplace_back(vec3(0.0, 1.0, 1.0)); + + // Second square (offset) + top_cc.contours.emplace_back(); + top_cc.contours.back().closed = true; + top_cc.contours.back().points.emplace_back(vec3(2.0, 0.0, 1.0)); + top_cc.contours.back().points.emplace_back(vec3(3.0, 0.0, 1.0)); + top_cc.contours.back().points.emplace_back(vec3(3.0, 1.0, 1.0)); + top_cc.contours.back().points.emplace_back(vec3(2.0, 1.0, 1.0)); + + // Bottom plane: matching squares + contour_collection bottom_cc; + + bottom_cc.contours.emplace_back(); + bottom_cc.contours.back().closed = true; + bottom_cc.contours.back().points.emplace_back(vec3(0.0, 0.0, 0.0)); + bottom_cc.contours.back().points.emplace_back(vec3(1.0, 0.0, 0.0)); + bottom_cc.contours.back().points.emplace_back(vec3(1.0, 1.0, 0.0)); + bottom_cc.contours.back().points.emplace_back(vec3(0.0, 1.0, 0.0)); + + bottom_cc.contours.emplace_back(); + bottom_cc.contours.back().closed = true; + bottom_cc.contours.back().points.emplace_back(vec3(2.0, 0.0, 0.0)); + bottom_cc.contours.back().points.emplace_back(vec3(3.0, 0.0, 0.0)); + bottom_cc.contours.back().points.emplace_back(vec3(3.0, 1.0, 0.0)); + bottom_cc.contours.back().points.emplace_back(vec3(2.0, 1.0, 0.0)); + + auto mesh = Triangulate_Planar_Contour_Connectivity(top_cc, bottom_cc); + + // 8 vertices on each plane = 16 total + REQUIRE(mesh.vertices.size() == 16); + + // Should have triangles + REQUIRE(mesh.faces.size() > 0); + + // Surface area should be positive + REQUIRE(mesh.surface_area() > 0.0); + } + + SUBCASE("polygon with hole pattern (outer and inner contour with opposite orientations)"){ + // Create an outer square on top (counter-clockwise) + contour_collection top_cc; + top_cc.contours.emplace_back(); + top_cc.contours.back().closed = true; + top_cc.contours.back().points.emplace_back(vec3(0.0, 0.0, 1.0)); + top_cc.contours.back().points.emplace_back(vec3(4.0, 0.0, 1.0)); + top_cc.contours.back().points.emplace_back(vec3(4.0, 4.0, 1.0)); + top_cc.contours.back().points.emplace_back(vec3(0.0, 4.0, 1.0)); + + // Create an inner square (clockwise - denotes hole) + top_cc.contours.emplace_back(); + top_cc.contours.back().closed = true; + top_cc.contours.back().points.emplace_back(vec3(1.0, 1.0, 1.0)); + top_cc.contours.back().points.emplace_back(vec3(1.0, 3.0, 1.0)); + top_cc.contours.back().points.emplace_back(vec3(3.0, 3.0, 1.0)); + top_cc.contours.back().points.emplace_back(vec3(3.0, 1.0, 1.0)); + + // Bottom plane with matching contours + contour_collection bottom_cc; + bottom_cc.contours.emplace_back(); + bottom_cc.contours.back().closed = true; + bottom_cc.contours.back().points.emplace_back(vec3(0.0, 0.0, 0.0)); + bottom_cc.contours.back().points.emplace_back(vec3(4.0, 0.0, 0.0)); + bottom_cc.contours.back().points.emplace_back(vec3(4.0, 4.0, 0.0)); + bottom_cc.contours.back().points.emplace_back(vec3(0.0, 4.0, 0.0)); + + bottom_cc.contours.emplace_back(); + bottom_cc.contours.back().closed = true; + bottom_cc.contours.back().points.emplace_back(vec3(1.0, 1.0, 0.0)); + bottom_cc.contours.back().points.emplace_back(vec3(1.0, 3.0, 0.0)); + bottom_cc.contours.back().points.emplace_back(vec3(3.0, 3.0, 0.0)); + bottom_cc.contours.back().points.emplace_back(vec3(3.0, 1.0, 0.0)); + + auto mesh = Triangulate_Planar_Contour_Connectivity(top_cc, bottom_cc); + + // 8 vertices on each plane = 16 total + REQUIRE(mesh.vertices.size() == 16); + + // Should have triangles + REQUIRE(mesh.faces.size() > 0); + + // Surface area should be positive + REQUIRE(mesh.surface_area() > 0.0); + } +} + +TEST_CASE( "Triangulate_Planar_Contour_Connectivity with oblique planes" ){ + + SUBCASE("planes not aligned with cardinal axes"){ + // Create contours on a plane tilted at 45 degrees + const double pi = std::acos(-1.0); + const double angle = pi / 4.0; // 45 degrees + + // Top plane points (rotated around Y axis) + contour_collection top_cc; + top_cc.contours.emplace_back(); + top_cc.contours.back().closed = true; + + // Original square at z=1, rotated 45 degrees around Y + auto rotate_y = [angle](const vec3 &v) { + return vec3( + v.x * std::cos(angle) + v.z * std::sin(angle), + v.y, + -v.x * std::sin(angle) + v.z * std::cos(angle) + ); + }; + + vec3 offset_top(0.0, 0.0, 1.0); + top_cc.contours.back().points.emplace_back(rotate_y(vec3(0.0, 0.0, 0.0) + offset_top)); + top_cc.contours.back().points.emplace_back(rotate_y(vec3(1.0, 0.0, 0.0) + offset_top)); + top_cc.contours.back().points.emplace_back(rotate_y(vec3(1.0, 1.0, 0.0) + offset_top)); + top_cc.contours.back().points.emplace_back(rotate_y(vec3(0.0, 1.0, 0.0) + offset_top)); + + // Bottom plane points + contour_collection bottom_cc; + bottom_cc.contours.emplace_back(); + bottom_cc.contours.back().closed = true; + + vec3 offset_bottom(0.0, 0.0, 0.0); + bottom_cc.contours.back().points.emplace_back(rotate_y(vec3(0.0, 0.0, 0.0) + offset_bottom)); + bottom_cc.contours.back().points.emplace_back(rotate_y(vec3(1.0, 0.0, 0.0) + offset_bottom)); + bottom_cc.contours.back().points.emplace_back(rotate_y(vec3(1.0, 1.0, 0.0) + offset_bottom)); + bottom_cc.contours.back().points.emplace_back(rotate_y(vec3(0.0, 1.0, 0.0) + offset_bottom)); + + auto mesh = Triangulate_Planar_Contour_Connectivity(top_cc, bottom_cc); + + // Check vertices + REQUIRE(mesh.vertices.size() == 8); + + // Should have triangles + REQUIRE(mesh.faces.size() > 0); + + // Surface area should be positive + REQUIRE(mesh.surface_area() > 0.0); + } +} + +TEST_CASE( "Triangulate_Planar_Contour_Connectivity with float type" ){ + + SUBCASE("basic square contours with float type"){ + contour_collection top_cc; + top_cc.contours.emplace_back(); + top_cc.contours.back().closed = true; + top_cc.contours.back().points.emplace_back(vec3(0.0f, 0.0f, 1.0f)); + top_cc.contours.back().points.emplace_back(vec3(1.0f, 0.0f, 1.0f)); + top_cc.contours.back().points.emplace_back(vec3(1.0f, 1.0f, 1.0f)); + top_cc.contours.back().points.emplace_back(vec3(0.0f, 1.0f, 1.0f)); + + contour_collection bottom_cc; + bottom_cc.contours.emplace_back(); + bottom_cc.contours.back().closed = true; + bottom_cc.contours.back().points.emplace_back(vec3(0.0f, 0.0f, 0.0f)); + bottom_cc.contours.back().points.emplace_back(vec3(1.0f, 0.0f, 0.0f)); + bottom_cc.contours.back().points.emplace_back(vec3(1.0f, 1.0f, 0.0f)); + bottom_cc.contours.back().points.emplace_back(vec3(0.0f, 1.0f, 0.0f)); + + auto mesh = Triangulate_Planar_Contour_Connectivity(top_cc, bottom_cc); + + REQUIRE(mesh.vertices.size() == 8); + REQUIRE(mesh.faces.size() > 0); + REQUIRE(mesh.surface_area() > 0.0f); + } +} + +TEST_CASE( "Triangulate_Planar_Contour_Connectivity mesh integrity" ){ + + SUBCASE("all face indices are valid"){ + contour_collection top_cc; + top_cc.contours.emplace_back(); + top_cc.contours.back().closed = true; + top_cc.contours.back().points.emplace_back(vec3(0.0, 0.0, 1.0)); + top_cc.contours.back().points.emplace_back(vec3(1.0, 0.0, 1.0)); + top_cc.contours.back().points.emplace_back(vec3(1.0, 1.0, 1.0)); + top_cc.contours.back().points.emplace_back(vec3(0.0, 1.0, 1.0)); + + contour_collection bottom_cc; + bottom_cc.contours.emplace_back(); + bottom_cc.contours.back().closed = true; + bottom_cc.contours.back().points.emplace_back(vec3(0.0, 0.0, 0.0)); + bottom_cc.contours.back().points.emplace_back(vec3(1.0, 0.0, 0.0)); + bottom_cc.contours.back().points.emplace_back(vec3(1.0, 1.0, 0.0)); + bottom_cc.contours.back().points.emplace_back(vec3(0.0, 1.0, 0.0)); + + auto mesh = Triangulate_Planar_Contour_Connectivity(top_cc, bottom_cc); + + const size_t n_verts = mesh.vertices.size(); + for (const auto &face : mesh.faces) { + for (const auto &idx : face) { + REQUIRE(idx < n_verts); + } + } + } + + SUBCASE("all triangles have non-zero area"){ + contour_collection top_cc; + top_cc.contours.emplace_back(); + top_cc.contours.back().closed = true; + top_cc.contours.back().points.emplace_back(vec3(0.0, 0.0, 1.0)); + top_cc.contours.back().points.emplace_back(vec3(1.0, 0.0, 1.0)); + top_cc.contours.back().points.emplace_back(vec3(1.0, 1.0, 1.0)); + top_cc.contours.back().points.emplace_back(vec3(0.0, 1.0, 1.0)); + + contour_collection bottom_cc; + bottom_cc.contours.emplace_back(); + bottom_cc.contours.back().closed = true; + bottom_cc.contours.back().points.emplace_back(vec3(0.0, 0.0, 0.0)); + bottom_cc.contours.back().points.emplace_back(vec3(1.0, 0.0, 0.0)); + bottom_cc.contours.back().points.emplace_back(vec3(1.0, 1.0, 0.0)); + bottom_cc.contours.back().points.emplace_back(vec3(0.0, 1.0, 0.0)); + + auto mesh = Triangulate_Planar_Contour_Connectivity(top_cc, bottom_cc); + + for (size_t i = 0; i < mesh.faces.size(); ++i) { + double area = mesh.surface_area(static_cast(i)); + REQUIRE(area > 0.0); + } + } +} + diff --git a/tests2/run_connectivity_tests b/tests2/run_connectivity_tests new file mode 100755 index 0000000000000000000000000000000000000000..6b5e4dfe54a9046c2b8a1f185e58bed6c7dce7ed GIT binary patch literal 573432 zcmeFaeSB2K^*_D=0ztuz3W5*Sh{d8-O~Qkqf&pDz6f^?SpkfGlAkmP-WD|lG4TNac zbtR%GK1XX6pV2DDCk$ZOs8pl18m-l6eYi2G5v`_b<@Y{kX6~IkyH~-__x1a$3(4N| zo|!Xe&YU@OX71dZ%L6l~_e)CZ?~|YYzA3&WTsKz=shroRK1ZaeZ(pjQsa!H$E}&od zEa2bv_iNV(LDaWij_d1{f*RkCoFybv-+DRHjqen$)#sb*{%##2>Tez?<&bjr14-q& zf+BxcuKPQSGT@`Wl|D&E`l*y+n&0VE2p{!rmTQsa%_wyf~zveNRJx})nRPB?nPxMQj-j>%-sBv%@Ks8>%tBgcpC zY$Hsn-`B5R(25_W4U_4V|Gs0l9lE4;+RM)^PrCoP*{kQQc&7Jw%0qHf8OlQ+;wMdo z>Ams$A^cEY)@jnP{#nfv(tU%nQnQBck&>2QKe#zPkUF&A-YZ&sksuYK{Ey&gJ$@d= z&tv%cGk)mvIDR(Z=PCR=i=U17*@7SXwBzR`{ES;YdF9x9o;*NE^Xp-2hn(D*6+7zElv{o} 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