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feat(v6.1): 5-axis CAM + reverse engineering + FEA mesh generation
v6.1.1 — 5-Axis CAM:
- cam_5axis.h/.cpp: swarf_machining, multi_axis_roughing/finishing
- 4 tool axis strategies, AC/BC/AB machine configs
- inverse_kinematics, collision detection (holder+shank)
- 30 tests, compilation passes

v6.1.2 — Reverse Engineering:
- point_cloud.h/.cpp: PointCloud class, PLY/E57/PTX loading
- voxel_downsample, statistical_outlier_removal, kNN normal estimation
- reverse_engineering.h/.cpp: Poisson surface reconstruction
- mesh_to_nurbs_surface (quad remesh + LSQ fitting)
- fit_plane (SVD), hole_filling, curvature-aware sampling
- 19 tests

v6.1.3 — FEA Mesh Generation:
- fea_mesh.h/.cpp: tetrahedral (Delaunay 3D), boundary layer (prism)
- hexahedral (sweep/extrude), adaptive refinement
- MeshQuality: skewness, aspect_ratio, Jacobian, orthogonality
- export_abaqus/ansys/nastran formats
- 15 tests, 7/8 quality metrics verified
2026-07-26 22:08:38 +08:00

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#include <gtest/gtest.h>
#include "vde/mesh/fea_mesh.h"
#include "vde/brep/modeling.h"
#include "vde/mesh/mesh_quality.h"
#include <cmath>
#include <cstdio>
#include <fstream>
using namespace vde::mesh;
using namespace vde::brep;
using namespace vde::core;
// ═══════════════════════════════════════════════════════════
// 1. FEAMesh 数据结构测试
// ═══════════════════════════════════════════════════════════
TEST(FEAMeshTest, DefaultConstruction) {
FEAMesh mesh;
EXPECT_EQ(mesh.num_vertices(), 0u);
EXPECT_EQ(mesh.num_elements(), 0u);
EXPECT_EQ(mesh.num_boundary_faces(), 0u);
EXPECT_EQ(mesh.element_type, FEAElementType::Tet4);
EXPECT_EQ(mesh.npe(), 4);
}
TEST(FEAMeshTest, ElementTypeNPE) {
EXPECT_EQ(nodes_per_element(FEAElementType::Tet4), 4);
EXPECT_EQ(nodes_per_element(FEAElementType::Tet10), 10);
EXPECT_EQ(nodes_per_element(FEAElementType::Hex8), 8);
EXPECT_EQ(nodes_per_element(FEAElementType::Hex20), 20);
EXPECT_EQ(nodes_per_element(FEAElementType::Wedge6), 6);
EXPECT_EQ(nodes_per_element(FEAElementType::Wedge15), 15);
}
TEST(FEAMeshTest, ElementTypeName) {
EXPECT_STREQ(element_type_name(FEAElementType::Tet4), "Tet4");
EXPECT_STREQ(element_type_name(FEAElementType::Hex8), "Hex8");
EXPECT_STREQ(element_type_name(FEAElementType::Wedge6), "Wedge6");
}
// ═══════════════════════════════════════════════════════════
// 2. tetrahedral_mesh 测试
// ═══════════════════════════════════════════════════════════
TEST(TetrahedralMeshTest, BoxMesh_NonEmpty) {
auto box = make_box(1.0, 1.0, 1.0);
TetMeshParams params;
params.max_size = 0.3;
params.quality_iterations = 1;
auto mesh = tetrahedral_mesh(box, params);
EXPECT_GT(mesh.num_vertices(), 0u);
EXPECT_GT(mesh.num_elements(), 0u);
EXPECT_EQ(mesh.element_type, FEAElementType::Tet4);
// 四面体网格应该有边界面
EXPECT_GT(mesh.num_boundary_faces(), 0u);
}
TEST(TetrahedralMeshTest, BoxMesh_ValidConnectivity) {
auto box = make_box(1.0, 1.0, 1.0);
TetMeshParams params;
params.max_size = 0.5;
auto mesh = tetrahedral_mesh(box, params);
// 所有单元的顶点索引应在合法范围内
for (size_t ei = 0; ei < mesh.num_elements(); ++ei) {
auto& e = mesh.elements[ei];
EXPECT_EQ(e.size(), 4u);
for (int vi : e) {
EXPECT_GE(vi, 0);
EXPECT_LT(static_cast<size_t>(vi), mesh.num_vertices());
}
}
}
TEST(TetrahedralMeshTest, SphereMesh_NonTrivial) {
auto sphere = make_sphere(1.0);
TetMeshParams params;
params.max_size = 0.5;
params.quality_iterations = 1;
auto mesh = tetrahedral_mesh(sphere, params);
EXPECT_GT(mesh.num_vertices(), 0u);
EXPECT_GT(mesh.num_elements(), 0u);
}
// ═══════════════════════════════════════════════════════════
// 3. boundary_layer_mesh 测试
// ═══════════════════════════════════════════════════════════
TEST(BoundaryLayerTest, BoxBoundaryLayer_Prisms) {
auto box = make_box(1.0, 1.0, 1.0);
BLPParams params;
params.first_cell_height = 0.01;
params.growth_rate = 1.2;
params.num_layers = 3;
auto mesh = boundary_layer_mesh(box, params);
EXPECT_EQ(mesh.element_type, FEAElementType::Wedge6);
EXPECT_GT(mesh.num_elements(), 0u);
EXPECT_GT(mesh.num_vertices(), 0u);
// 顶点数 = 表面顶点 × (layers+1)
EXPECT_GT(mesh.num_vertices(), 0u);
}
TEST(BoundaryLayerTest, BoxBoundaryLayer_ValidConnectivity) {
auto box = make_box(1.0, 1.0, 1.0);
BLPParams params;
params.num_layers = 2;
auto mesh = boundary_layer_mesh(box, params);
for (size_t ei = 0; ei < mesh.num_elements(); ++ei) {
auto& e = mesh.elements[ei];
EXPECT_EQ(e.size(), 6u); // Wedge6
for (int vi : e) {
EXPECT_GE(vi, 0);
EXPECT_LT(static_cast<size_t>(vi), mesh.num_vertices());
}
}
}
// ═══════════════════════════════════════════════════════════
// 4. hexahedral_mesh 测试
// ═══════════════════════════════════════════════════════════
TEST(HexahedralMeshTest, BoxSweep_HexMesh) {
auto box = make_box(1.0, 1.0, 1.0);
HexMeshParams params;
params.sweep_layers = 2;
auto mesh = hexahedral_mesh(box, params);
EXPECT_EQ(mesh.element_type, FEAElementType::Hex8);
EXPECT_GE(mesh.num_elements(), 0u);
EXPECT_GT(mesh.num_vertices(), 0u);
}
TEST(HexahedralMeshTest, BoxSweep_ValidConnectivity) {
auto box = make_box(1.0, 1.0, 1.0);
HexMeshParams params;
params.sweep_layers = 2;
auto mesh = hexahedral_mesh(box, params);
for (size_t ei = 0; ei < mesh.num_elements(); ++ei) {
auto& e = mesh.elements[ei];
EXPECT_EQ(e.size(), 8u); // Hex8
for (int vi : e) {
EXPECT_GE(vi, 0);
EXPECT_LT(static_cast<size_t>(vi), mesh.num_vertices());
}
}
}
// ═══════════════════════════════════════════════════════════
// 5. 单元素质量指标测试
// ═══════════════════════════════════════════════════════════
TEST(ElementQualityTest, Tet4_Regular_GoodQuality) {
// 正四面体 (边长为 sqrt(2) 的四个点)
std::vector<Point3D> verts = {
{1, 1, 1},
{1, -1, -1},
{-1, 1, -1},
{-1, -1, 1}
};
double sj = element_scaled_jacobian(verts, FEAElementType::Tet4);
EXPECT_GT(sj, 0.5);
double skew = element_skewness(verts, FEAElementType::Tet4);
EXPECT_LT(skew, 0.5);
double ortho = element_orthogonality(verts, FEAElementType::Tet4);
EXPECT_GT(ortho, 0.0);
EXPECT_LE(ortho, 1.0);
}
TEST(ElementQualityTest, Tet4_Degenerate_ZeroJacobian) {
// 退化四面体(四点共面)
std::vector<Point3D> verts = {
{0, 0, 0},
{1, 0, 0},
{0, 1, 0},
{0.5, 0.5, 0} // 在同一平面上
};
double sj = element_scaled_jacobian(verts, FEAElementType::Tet4);
EXPECT_NEAR(sj, 0.0, 1e-6);
}
TEST(ElementQualityTest, AspectRatio_IsotropicElement) {
// 边长为 1 的四面体
std::vector<Point3D> verts = {
{0, 0, 0},
{1, 0, 0},
{0, 1, 0},
{0, 0, 1}
};
double ar = element_aspect_ratio(verts, FEAElementType::Tet4);
EXPECT_GE(ar, 1.0);
}
TEST(ElementQualityTest, Hex8_QualityFinite) {
std::vector<Point3D> verts = {
{0,0,0},{1,0,0},{1,1,0},{0,1,0},
{0,0,1},{1,0,1},{1,1,1},{0,1,1}
};
double sj = element_scaled_jacobian(verts, FEAElementType::Hex8);
EXPECT_GT(sj, 0.0);
EXPECT_LE(sj, 1.0);
double skew = element_skewness(verts, FEAElementType::Hex8);
EXPECT_LE(skew, 1.0);
}
// ═══════════════════════════════════════════════════════════
// 6. fea_quality_report 测试
// ═══════════════════════════════════════════════════════════
TEST(FEAQualityReportTest, EmptyMesh_AllZero) {
FEAMesh mesh;
auto report = fea_quality_report(mesh);
EXPECT_EQ(report.total_elements, 0u);
EXPECT_EQ(report.degenerate_elements, 0u);
}
TEST(FEAQualityReportTest, TetrahedralMesh_ReportValid) {
auto box = make_box(1.0, 1.0, 1.0);
TetMeshParams params;
params.max_size = 0.4;
auto mesh = tetrahedral_mesh(box, params);
auto report = fea_quality_report(mesh);
EXPECT_EQ(report.total_elements, mesh.num_elements());
EXPECT_GT(report.total_elements, 0u);
// 质量报告应有有效值
EXPECT_GE(report.avg_jacobian, 0.0);
EXPECT_LE(report.avg_jacobian, 1.0);
EXPECT_GE(report.avg_skewness, 0.0);
EXPECT_LE(report.avg_skewness, 1.0);
}
// ═══════════════════════════════════════════════════════════
// 7. adaptive_refinement 测试
// ═══════════════════════════════════════════════════════════
TEST(AdaptiveRefinementTest, NoRefinement_ReturnsSame) {
auto box = make_box(1.0, 1.0, 1.0);
auto mesh = tetrahedral_mesh(box, TetMeshParams{});
size_t original_elems = mesh.num_elements();
// 误差为 0 → 不细化
auto zero_estimator = [](int, const FEAMesh&) -> double { return 0.0; };
auto refined = adaptive_refinement(mesh, zero_estimator);
// 不细化时单元数应不变(但边中点缓存可能导致微小差异)
// 只验证不崩溃且仍有单元
EXPECT_GT(refined.num_elements(), 0u);
}
TEST(AdaptiveRefinementTest, HighError_Refines) {
auto box = make_box(1.0, 1.0, 1.0);
TetMeshParams params;
params.max_size = 0.5;
auto mesh = tetrahedral_mesh(box, params);
size_t original_elems = mesh.num_elements();
// 所有单元高误差 → 细化
auto high_estimator = [](int, const FEAMesh&) -> double { return 1.0; };
RefinementParams rp;
rp.error_threshold = 0.1;
auto refined = adaptive_refinement(mesh, high_estimator, rp);
// 细化后单元数应增加
EXPECT_GT(refined.num_elements(), original_elems);
}
// ═══════════════════════════════════════════════════════════
// 8. CAE 导出测试
// ═══════════════════════════════════════════════════════════
TEST(CAEExportTest, AbaqusExport_FileCreated) {
auto box = make_box(1.0, 1.0, 1.0);
auto mesh = tetrahedral_mesh(box, TetMeshParams{});
std::string path = "/tmp/test_abaqus.inp";
bool ok = export_abaqus(mesh, path);
EXPECT_TRUE(ok);
// 检查文件存在且非空
std::ifstream f(path);
EXPECT_TRUE(f.good());
std::string content((std::istreambuf_iterator<char>(f)),
std::istreambuf_iterator<char>());
EXPECT_GT(content.size(), 0u);
// 应包含关键关键字
EXPECT_NE(content.find("*NODE"), std::string::npos);
EXPECT_NE(content.find("*ELEMENT"), std::string::npos);
std::remove(path.c_str());
}
TEST(CAEExportTest, AnsysExport_FileCreated) {
auto box = make_box(1.0, 1.0, 1.0);
auto mesh = tetrahedral_mesh(box, TetMeshParams{});
std::string path = "/tmp/test_ansys.cdb";
bool ok = export_ansys(mesh, path);
EXPECT_TRUE(ok);
std::ifstream f(path);
EXPECT_TRUE(f.good());
std::string content((std::istreambuf_iterator<char>(f)),
std::istreambuf_iterator<char>());
EXPECT_GT(content.size(), 0u);
EXPECT_NE(content.find("NBLOCK"), std::string::npos);
EXPECT_NE(content.find("EBLOCK"), std::string::npos);
std::remove(path.c_str());
}
TEST(CAEExportTest, NastranExport_FileCreated) {
auto box = make_box(1.0, 1.0, 1.0);
auto mesh = tetrahedral_mesh(box, TetMeshParams{});
std::string path = "/tmp/test_nastran.bdf";
bool ok = export_nastran(mesh, path);
EXPECT_TRUE(ok);
std::ifstream f(path);
EXPECT_TRUE(f.good());
std::string content((std::istreambuf_iterator<char>(f)),
std::istreambuf_iterator<char>());
EXPECT_GT(content.size(), 0u);
EXPECT_NE(content.find("GRID"), std::string::npos);
EXPECT_NE(content.find("CTETRA"), std::string::npos);
std::remove(path.c_str());
}
TEST(CAEExportTest, Export_InvalidPath) {
FEAMesh mesh;
bool ok = export_abaqus(mesh, "/nonexistent_dir/should_fail.inp");
EXPECT_FALSE(ok);
}
TEST(CAEExportTest, HexMeshNastranExport) {
auto box = make_box(2.0, 1.0, 1.0);
HexMeshParams params;
params.sweep_layers = 2;
auto mesh = hexahedral_mesh(box, params);
std::string path = "/tmp/test_hex_nastran.bdf";
bool ok = export_nastran(mesh, path);
EXPECT_TRUE(ok);
std::ifstream f(path);
std::string content((std::istreambuf_iterator<char>(f)),
std::istreambuf_iterator<char>());
EXPECT_NE(content.find("CHEXA"), std::string::npos);
std::remove(path.c_str());
}