GeometricBasics.h

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#pragma once
 
#include <cstddef>
#include <limits>
 
namespace MathLib
{
 
template <typename T, std::size_t DIM> class TemplatePoint;
using Point3d = MathLib::TemplatePoint<double, 3>;
 
enum TriangleTest
{
    GAUSS, BARYCENTRIC
};
 
double orientation3d(MathLib::Point3d const& p,
                     MathLib::Point3d const& a,
                     MathLib::Point3d const& b,
                     MathLib::Point3d const& c);
 
double calcTetrahedronVolume(MathLib::Point3d const& a,
                             MathLib::Point3d const& b,
                             MathLib::Point3d const& c,
                             MathLib::Point3d const& d);
 
double calcTriangleArea(MathLib::Point3d const& a, MathLib::Point3d const& b,
                        MathLib::Point3d const& c);
 
bool isPointInTetrahedron(MathLib::Point3d const& p, MathLib::Point3d const& a,
                          MathLib::Point3d const& b, MathLib::Point3d const& c,
                          MathLib::Point3d const& d,
                          double eps = std::numeric_limits<double>::epsilon());
 
bool isPointInTriangle(
    MathLib::Point3d const& p,
    MathLib::Point3d const& a,
    MathLib::Point3d const& b,
    MathLib::Point3d const& c,
    double eps_pnt_out_of_plane = std::numeric_limits<float>::epsilon(),
    double eps_pnt_out_of_tri = std::numeric_limits<float>::epsilon(),
    MathLib::TriangleTest algorithm = MathLib::GAUSS);
 
bool gaussPointInTriangle(
    MathLib::Point3d const& q, MathLib::Point3d const& a,
    MathLib::Point3d const& b, MathLib::Point3d const& c,
    double eps_pnt_out_of_plane = std::numeric_limits<float>::epsilon(),
    double eps_pnt_out_of_tri = std::numeric_limits<float>::epsilon());
 
bool barycentricPointInTriangle(
    MathLib::Point3d const& p, MathLib::Point3d const& a,
    MathLib::Point3d const& b, MathLib::Point3d const& c,
    double eps_pnt_out_of_plane = std::numeric_limits<float>::epsilon(),
    double eps_pnt_out_of_tri = std::numeric_limits<float>::epsilon());
 
bool isPointInTriangleXY(MathLib::Point3d const& p, MathLib::Point3d const& a,
MathLib::Point3d const& b, MathLib::Point3d const& c);
 
bool dividedByPlane(const MathLib::Point3d& a, const MathLib::Point3d& b,
                    const MathLib::Point3d& c, const MathLib::Point3d& d);
 
bool isCoplanar(const MathLib::Point3d& a, const MathLib::Point3d& b,
                const MathLib::Point3d& c, const MathLib::Point3d& d);
 
}  // end namespace MathLib