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ViewDesignEngine/include/vde/foundation/exact_predicates.h
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ViewDesignEngine 8ae4b86e08
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feat: GMP 精确算术后端 + 可插拔谓词接口
新增:
- include/vde/foundation/exact_predicates_gmp.h: GMP 精确谓词
  - orient_2d/3d, in_circle 完全精确(mpq_class 有理数)
  - 零舍入误差,任意精度
- include/vde/foundation/predicates.h: 统一谓词接口
  - Predicates<T> 编译期选择后端
  - VDE_USE_GMP=ON → GMP, OFF → 自适应 double
  - 便捷函数: orient(), in_circle()
- cmake/FindGMP.cmake: GMP 查找模块
- CMake: -DVDE_USE_GMP=ON 启用 GMP 精确模式
- AdaptiveDouble 包装器: 统一后端接口

使用:
  cmake -DVDE_USE_GMP=ON ..  # 完全精确模式
2026-07-23 10:32:51 +00:00

38 lines
1.3 KiB
C++

#pragma once
#include "vde/foundation/math_types.h"
namespace vde::foundation::exact {
enum class Orientation { Clockwise, CounterClockwise, Collinear };
enum class CircleTest { Inside, On, Outside };
/// Adaptive-precision 2D orientation test (Shewchuk)
Orientation orient_2d(const Point2D& a, const Point2D& b, const Point2D& c);
/// Adaptive-precision 3D orientation test
Orientation orient_3d(const Point3D& a, const Point3D& b,
const Point3D& c, const Point3D& d);
/// Adaptive-precision in-circle test
CircleTest in_circle(const Point2D& a, const Point2D& b,
const Point2D& c, const Point2D& d);
} // namespace vde::foundation::exact
/// Adaptive double-precision predicates (default backend)
namespace vde::foundation {
struct AdaptiveDouble {
static exact::Orientation orient_2d(const Point2D& a, const Point2D& b, const Point2D& c) {
return exact::orient_2d(a, b, c);
}
static exact::Orientation orient_3d(const Point3D& a, const Point3D& b,
const Point3D& c, const Point3D& d) {
return exact::orient_3d(a, b, c, d);
}
static exact::CircleTest in_circle(const Point2D& a, const Point2D& b,
const Point2D& c, const Point2D& d) {
return exact::in_circle(a, b, c, d);
}
};
} // namespace vde::foundation