茂之钳
cf38d76fd0
M1 — Memory Pool (内存池): - ObjectPool<T>: O(1) acquire/release with free-list, chunk-based expansion - ThreadSafeObjectPool<T>: per-thread local pools with global fallback - CowPtr<T>: copy-on-write smart pointer with shallow/deep copy - 10 tests: single/multi-thread, CoW detach, reuse rate M2 — Parallel Boolean (并行布尔): - parallel_face_face_intersection(): OpenMP face-pair dispatch with AABB culling - parallel_classify_faces(): thread-safe ray casting classification - parallel_mesh_union/intersection/difference + B-Rep variants - Thread count management API - 12 tests: coverage, empty cases, identity operations M3 — Parallel Marching Cubes (并行MC): - parallel_marching_cubes(): Z-slice parallel voxel processing - parallel_adaptive_mc(): octree-based adaptive resolution - Complete 256-entry edge table + Möller-Trumbore interpolation - 5 tests: sphere basic/high-res/empty/adaptive/threaded M4 — Parallel Surface Intersection (并行求交): - parallel_curve_intersections(): per-pair parallel dispatch - parallel_surface_intersection(): recursive subdivision + Newton refinement - AABB broad-phase culling before narrow-phase - 4 tests: curve pairs, surface batch M5 — GMP Exact Predicates (精确谓词): - exact_orient2d/3d: adaptive precision (double → GMP fallback) - exact_in_sphere: circumsphere test with degenerate handling - exact_point_in_polygon/polyhedron: robust ray casting - PrecisionMode: Fast/Adaptive/Exact with global toggle - 12 tests: all orientations, boundary cases, mode switching 21 files, +2263 lines
117 lines
3.6 KiB
C++
117 lines
3.6 KiB
C++
#pragma once
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/**
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* @file exact_predicates.h
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* @brief 精确几何谓词
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*
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* 使用 GMP/MPFR 进行精确算术运算，消除浮点误差。
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* 关键路径：布尔运算分类、Delaunay 三角剖分、凸包计算。
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*
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* 支持混合精度：先用 double，检测到不确定时自动升级到 GMP。
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*
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* @ingroup foundation
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*/
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#include "vde/core/point.h"
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#include <vector>
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namespace vde::core {
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// ═══════════════════════════════════════════════════════════
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// Exact Predicates (double → GMP fallback)
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// ═══════════════════════════════════════════════════════════
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/**
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* @brief 精确三点定向 (orient2d)
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*
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* 计算 (ax,ay), (bx,by), (cx,cy) 的有向面积 × 2。
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* > 0 → 逆时针, < 0 → 顺时针, = 0 → 共线。
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*
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* 先使用浮点运算，若结果接近 0 则升级到 GMP。
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*
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* @return 精确的 orient 值
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*/
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[[nodiscard]] double exact_orient2d(
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double ax, double ay, double bx, double by, double cx, double cy);
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/**
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* @brief 精确四点定向 (orient3d)
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*
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* 计算四面体 (a,b,c,d) 的有向体积 × 6。
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* > 0 → d 在平面 abc 上方, < 0 → 下方, = 0 → 共面。
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*/
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[[nodiscard]] double exact_orient3d(
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double ax, double ay, double az,
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double bx, double by, double bz,
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double cx, double cy, double cz,
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double dx, double dy, double dz);
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/**
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* @brief 精确球内测试 (in_sphere)
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*
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* 判断点 d 是否在四面体 abc 的外接球内。
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* > 0 → 内部, < 0 → 外部, = 0 → 在球面上。
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*/
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[[nodiscard]] double exact_in_sphere(
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double ax, double ay, double az,
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double bx, double by, double bz,
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double cx, double cy, double cz,
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double dx, double dy, double dz,
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double ex, double ey, double ez);
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/**
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* @brief 精确点在多边形内测试
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*
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* 射线投射法 + 精确算术处理边界情况。
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*
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* @param point 测试点
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* @param polygon 多边形顶点（逆时针）
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* @return true 如果点在多边形内或边界上
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*/
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[[nodiscard]] bool exact_point_in_polygon(
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const Point3D& point, const std::vector<Point3D>& polygon);
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/**
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* @brief 精确点在多面体内测试
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*
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* 射线投射法，使用精确算术处理共面/共线退化情况。
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*
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* @param point 测试点
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* @param vertices 多面体顶点
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* @param faces 面索引（每面 3+ 个顶点索引）
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* @return true 如果点在体内
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*/
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[[nodiscard]] bool exact_point_in_polyhedron(
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const Point3D& point,
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const std::vector<Point3D>& vertices,
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const std::vector<std::vector<int>>& faces);
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// ═══════════════════════════════════════════════════════════
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// Adaptive precision wrapper
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// ═══════════════════════════════════════════════════════════
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/// 精度模式
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enum class PrecisionMode {
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Fast, ///< 仅使用 double（默认）
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Adaptive, ///< 先 double，不确定时升级到 GMP
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Exact, ///< 始终使用 GMP
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};
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/**
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* @brief 设置全局精度模式
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*/
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void set_precision_mode(PrecisionMode mode);
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/**
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* @brief 获取当前精度模式
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*/
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[[nodiscard]] PrecisionMode precision_mode();
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/**
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* @brief 检查和报告两浮点数是否在误差范围内"不确定"
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*
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* 用于自适应精度升级判断。
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*/
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[[nodiscard]] bool is_uncertain(double value, double threshold = 1e-10);
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} // namespace vde::core
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