195 lines
4.1 KiB
Markdown
195 lines
4.1 KiB
Markdown
# API 参考
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## 目录
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1. [命名空间](#1-命名空间)
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2. [core 模块](#2-core-模块)
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3. [curves 模块](#3-curves-模块)
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4. [mesh 模块](#4-mesh-模块)
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5. [spatial 模块](#5-spatial-模块)
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6. [boolean 模块](#6-boolean-模块)
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7. [collision 模块](#7-collision-模块)
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8. [foundation 模块](#8-foundation-模块)
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9. [错误码](#9-错误码)
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---
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## 1. 命名空间
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```cpp
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namespace vde::foundation { ... } // 基础设施
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namespace vde::core { ... } // 几何核心
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namespace vde::curves { ... } // 曲线曲面
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namespace vde::mesh { ... } // 网格处理
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namespace vde::spatial { ... } // 空间索引
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namespace vde::boolean { ... } // 布尔运算
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namespace vde::collision { ... } // 碰撞检测
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```
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---
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## 2. core 模块
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### 基本类型
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| 类型 | 说明 |
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|------|------|
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| `Point2D`, `Point3D` | 二维/三维点 |
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| `Vector2D`, `Vector3D` | 二维/三维向量 |
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| `Line3Dd` | 三维无限直线 |
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| `Ray3Dd` | 三维射线 |
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| `Segment3Dd` | 三维线段 |
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| `Plane3D` | 三维平面 |
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| `Triangle3D` | 三维三角形 |
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| `AABB3D` | 轴对齐包围盒 |
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### 变换
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```cpp
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Transform3D translate(double x, double y, double z);
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Transform3D rotate(const Vector3D& axis, double rad);
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Transform3D scale(double sx, double sy, double sz);
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// 组合
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Matrix4D m = rotate_x(90_deg) * translate(1, 0, 0);
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Point3D p2 = m * p1;
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```
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### 凸包与距离
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```cpp
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// 2D 凸包(Graham Scan)
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std::vector<Point2D> convex_hull_2d(const std::vector<Point2D>& pts);
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// 距离计算
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double distance(const Point3D& a, const Point3D& b);
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double distance(const Point3D& p, const Plane3D& plane);
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double distance(const Point3D& p, const Triangle3D& tri);
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Point3D closest_point(const Point3D& p, const Triangle3D& tri);
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```
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---
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## 3. curves 模块
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```cpp
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// 曲线构造
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BezierCurve bezier(control_points);
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NurbsCurve nurbs(control_points, knots, weights, degree);
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// 求值与求导
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Point3D p = curve.evaluate(t);
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Vector3D d1 = curve.derivative(t, 1);
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// 曲面
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NurbsSurface surface(grid, knots_u, knots_v, weights, deg_u, deg_v);
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Point3D p = surface.evaluate(u, v);
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// 离散化
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auto [verts, tris] = tessellate(eval_func, res_u, res_v);
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```
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---
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## 4. mesh 模块
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```cpp
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HalfedgeMesh mesh;
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// 查询
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size_t nv = mesh.num_vertices();
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const Point3D& v = mesh.vertex(idx);
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// Delaunay
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auto [verts, tris] = delaunay_2d(points);
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// 简化与平滑
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auto simplified = simplify_mesh(mesh, {.target_ratio = 0.5});
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auto smoothed = smooth_mesh(mesh, {.iterations = 10});
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// 质量评估
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auto quality = evaluate_mesh_quality(mesh);
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```
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---
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## 5. spatial 模块
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```cpp
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BVH bvh;
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bvh.build(triangles);
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auto hits = bvh.query_ray(ray); // 所有命中
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auto nearest = bvh.query_ray_nearest(ray); // 最近命中
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auto in_box = bvh.query_range(aabb); // 范围查询
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auto knn = bvh.query_knn(point, 5); // K 近邻
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```
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---
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## 6. boolean 模块
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```cpp
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// 2D 多边形布尔
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auto result = boolean_2d(poly_a, poly_b, BooleanOp::Union);
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auto result = boolean_2d(poly_a, poly_b, BooleanOp::Intersection);
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auto result = boolean_2d(poly_a, poly_b, BooleanOp::Difference);
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```
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---
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## 7. collision 模块
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```cpp
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// GJK 碰撞检测
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bool hit = gjk_intersect(convex_a, convex_b);
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// 射线-三角形相交(Möller-Trumbore)
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auto hit = ray_triangle_intersect(ray, tri);
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// hit->t, hit->point, hit->u, hit->v
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// 三角形-三角形相交
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bool hit = tri_tri_intersect(t1, t2);
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```
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---
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## 8. foundation 模块
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### 公差系统
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```cpp
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Tolerance tol(/* absolute */ 1e-6, /* relative */ 1e-8);
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bool eq = tol.points_equal(a, b);
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bool zero = tol.is_zero(value);
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```
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### 精确谓词
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```cpp
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auto orient = exact::orient_2d(a, b, c);
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auto in = exact::in_circle(a, b, c, d);
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```
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### I/O
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```cpp
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auto mesh = read_obj("model.obj");
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write_obj(mesh, "output.obj");
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auto tris = read_stl("model.stl");
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```
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---
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## 9. 错误码
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| 错误码 | 说明 |
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|--------|------|
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| `kSuccess` | 操作成功 |
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| `kInvalidArgument` | 非法参数 |
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| `kInvalidGeometry` | 非法几何(退化/非流形) |
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| `kDegenerateCase` | 退化情况 |
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| `kNotImplemented` | 未实现 |
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| `kNumericalError` | 数值计算错误 |
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| `kOutOfMemory` | 内存不足 |
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