mirror of
https://github.com/NGSolve/netgen.git
synced 2024-11-14 10:08:32 +05:00
493 lines
12 KiB
C++
493 lines
12 KiB
C++
#ifndef FILE_ALGPRIM
|
|
#define FILE_ALGPRIM
|
|
|
|
|
|
/**************************************************************************/
|
|
/* File: algprim.hpp */
|
|
/* Author: Joachim Schoeberl */
|
|
/* Date: 1. Dez. 95 */
|
|
/**************************************************************************/
|
|
|
|
namespace netgen
|
|
{
|
|
|
|
/*
|
|
|
|
Quadric Surfaces (Plane, Sphere, Cylinder)
|
|
|
|
*/
|
|
|
|
|
|
/**
|
|
A quadric surface.
|
|
surface defined by
|
|
cxx x^2 + cyy y^2 + czz z^2 + cxy x y + cxz x z + cyz y z +
|
|
cx x + cy y + cz z + c1 = 0.
|
|
**/
|
|
class QuadraticSurface : public OneSurfacePrimitive
|
|
{
|
|
protected:
|
|
double cxx, cyy, czz, cxy, cxz, cyz, cx, cy, cz, c1;
|
|
|
|
public:
|
|
virtual double CalcFunctionValue (const Point<3> & point) const;
|
|
virtual void CalcGradient (const Point<3> & point, Vec<3> & grad) const;
|
|
virtual void CalcHesse (const Point<3> & point, Mat<3> & hesse) const;
|
|
/*
|
|
virtual int RootInBox (const Box<3> & box)
|
|
const { return 0; }
|
|
virtual INSOLID_TYPE BoxInSolid (const BoxSphere<3> & box)
|
|
const { return DOES_INTERSECT; }
|
|
*/
|
|
virtual double HesseNorm () const { return cxx + cyy + czz; }
|
|
|
|
virtual Point<3> GetSurfacePoint () const;
|
|
|
|
|
|
virtual void Print (ostream & str) const;
|
|
virtual void Read (istream & ist);
|
|
void PrintCoeff (ostream & ost) const;
|
|
};
|
|
|
|
|
|
/// A Plane (i.e., the plane and everything behind it).
|
|
class Plane : public QuadraticSurface
|
|
{
|
|
protected:
|
|
/// a point in the plane
|
|
Point<3> p;
|
|
/// outward normal vector
|
|
Vec<3> n;
|
|
|
|
double eps_base;
|
|
|
|
public:
|
|
///
|
|
Plane (const Point<3> & ap, Vec<3> an);
|
|
Point<3> P() const { return p; }
|
|
Vec<3> N() const { return n; }
|
|
virtual void GetPrimitiveData (const char *& classname,
|
|
Array<double> & coeffs) const;
|
|
virtual void SetPrimitiveData (Array<double> & coeffs);
|
|
static Primitive * CreateDefault ();
|
|
|
|
virtual Primitive * Copy () const;
|
|
virtual void Print (ostream & str) const;
|
|
|
|
virtual void Transform (Transformation<3> & trans);
|
|
|
|
|
|
virtual int IsIdentic (const Surface & s2, int & inv, double eps) const;
|
|
|
|
///
|
|
virtual void DefineTangentialPlane (const Point<3> & ap1,
|
|
const Point<3> & ap2);
|
|
///
|
|
virtual void ToPlane (const Point<3> & p3d,
|
|
Point<2> & pplane, double h,
|
|
int & zone) const;
|
|
///
|
|
virtual void FromPlane (const Point<2> & pplane,
|
|
Point<3> & p3d,
|
|
double h) const;
|
|
///
|
|
virtual void Project (Point<3> & p) const;
|
|
|
|
///
|
|
virtual INSOLID_TYPE BoxInSolid (const BoxSphere<3> & box) const;
|
|
|
|
///
|
|
inline virtual double CalcFunctionValue (const Point<3> & p3d) const
|
|
{return cx * p3d(0) + cy * p3d(1) + cz * p3d(2) + c1;}
|
|
///
|
|
virtual void CalcGradient (const Point<3> & point,
|
|
Vec<3> & grad) const;
|
|
///
|
|
virtual void CalcHesse (const Point<3> & point,
|
|
Mat<3> & hesse) const;
|
|
///
|
|
virtual double HesseNorm () const;
|
|
///
|
|
virtual Point<3> GetSurfacePoint () const;
|
|
///
|
|
virtual void GetTriangleApproximation
|
|
(TriangleApproximation & tas,
|
|
const Box<3> & boundingbox, double facets) const;
|
|
protected:
|
|
void CalcData();
|
|
};
|
|
|
|
// typedef Plane Plane;
|
|
|
|
|
|
///
|
|
class Sphere : public QuadraticSurface
|
|
{
|
|
///
|
|
Point<3> c;
|
|
///
|
|
double r, invr;
|
|
public:
|
|
///
|
|
Sphere (const Point<3> & ac, double ar);
|
|
|
|
virtual void GetPrimitiveData (const char *& classname,
|
|
Array<double> & coeffs) const;
|
|
virtual void SetPrimitiveData (Array<double> & coeffs);
|
|
static Primitive * CreateDefault ();
|
|
|
|
virtual Primitive * Copy () const;
|
|
virtual void Transform (Transformation<3> & trans);
|
|
|
|
virtual double CalcFunctionValue (const Point<3> & point) const;
|
|
|
|
|
|
virtual int IsIdentic (const Surface & s2, int & inv, double eps) const;
|
|
|
|
///
|
|
virtual void DefineTangentialPlane (const Point<3> & ap1,
|
|
const Point<3> & ap2);
|
|
///
|
|
virtual void ToPlane (const Point<3> & p3d,
|
|
Point<2> & pplane, double h,
|
|
int & zone) const;
|
|
///
|
|
virtual void FromPlane (const Point<2> & pplane,
|
|
Point<3> & p, double h) const;
|
|
///
|
|
virtual void Project (Point<3> & p) const;
|
|
|
|
///
|
|
virtual INSOLID_TYPE BoxInSolid (const BoxSphere<3> & box) const;
|
|
///
|
|
virtual double HesseNorm () const;
|
|
///
|
|
virtual Point<3> GetSurfacePoint () const;
|
|
///
|
|
const Point<3> & Center () const { return c; }
|
|
///
|
|
double Radius () const { return r; }
|
|
|
|
///
|
|
virtual void GetTriangleApproximation (TriangleApproximation & tas,
|
|
const Box<3> & bbox,
|
|
double facets) const;
|
|
};
|
|
|
|
|
|
///
|
|
class Cylinder : public QuadraticSurface
|
|
{
|
|
///
|
|
Point<3> a, b;
|
|
///
|
|
double r;
|
|
///
|
|
Vec<3> vab;
|
|
|
|
public:
|
|
Cylinder (const Point<3> & aa, const Point<3> & ab, double ar);
|
|
Cylinder (Array<double> & coeffs);
|
|
Point<3> A() const { return a; }
|
|
Point<3> B() const { return b; }
|
|
double R() const { return r; }
|
|
virtual void GetPrimitiveData (const char *& classname, Array<double> & coeffs) const;
|
|
virtual void SetPrimitiveData (Array<double> & coeffs);
|
|
static Primitive * CreateDefault ();
|
|
|
|
virtual Primitive * Copy () const;
|
|
virtual void Print (ostream & str) const;
|
|
|
|
virtual void Transform (Transformation<3> & trans);
|
|
|
|
///
|
|
virtual int IsIdentic (const Surface & s2, int & inv, double eps) const;
|
|
///
|
|
virtual void DefineTangentialPlane (const Point<3> & ap1,
|
|
const Point<3> & ap2);
|
|
///
|
|
virtual void ToPlane (const Point<3> & p,
|
|
Point<2> & pplane,
|
|
double h,
|
|
int & zone) const;
|
|
///
|
|
virtual void FromPlane (const Point<2> & pplane,
|
|
Point<3> & p,
|
|
double h) const;
|
|
///
|
|
virtual void Project (Point<3> & p) const;
|
|
|
|
///
|
|
virtual INSOLID_TYPE BoxInSolid (const BoxSphere<3> & box) const;
|
|
///
|
|
virtual double HesseNorm () const;
|
|
///
|
|
virtual Point<3> GetSurfacePoint () const;
|
|
///
|
|
virtual void GetTriangleApproximation (TriangleApproximation & tas,
|
|
const Box<3> & bbox,
|
|
double facets) const;
|
|
};
|
|
|
|
|
|
|
|
|
|
|
|
///
|
|
class EllipticCylinder : public QuadraticSurface
|
|
{
|
|
private:
|
|
///
|
|
Point<3> a;
|
|
///
|
|
Vec<3> vl, vs;
|
|
///
|
|
Vec<3> vab, t0vec, t1vec;
|
|
///
|
|
double vabl, t0, t1;
|
|
public:
|
|
///
|
|
EllipticCylinder (const Point<3> & aa,
|
|
const Vec<3> & avl, const Vec<3> & avs);
|
|
EllipticCylinder (Array<double> & coeffs);
|
|
|
|
|
|
// static Primitive * CreateDefault ();
|
|
virtual void GetPrimitiveData (const char *& classname, Array<double> & coeffs) const;
|
|
virtual void SetPrimitiveData (Array<double> & coeffs);
|
|
|
|
///
|
|
virtual INSOLID_TYPE BoxInSolid (const BoxSphere<3> & box) const;
|
|
///
|
|
virtual double HesseNorm () const;
|
|
///
|
|
virtual Point<3> GetSurfacePoint () const;
|
|
|
|
virtual void GetTriangleApproximation (TriangleApproximation & tas,
|
|
const Box<3> & bbox,
|
|
double facets) const;
|
|
|
|
|
|
virtual double MaxCurvature () const;
|
|
|
|
virtual double MaxCurvatureLoc (const Point<3> & /* c */ ,
|
|
double /* rad */) const;
|
|
|
|
|
|
private:
|
|
void CalcData();
|
|
};
|
|
|
|
|
|
|
|
|
|
|
|
|
|
///
|
|
class Ellipsoid : public QuadraticSurface
|
|
{
|
|
private:
|
|
///
|
|
Point<3> a;
|
|
///
|
|
Vec<3> v1, v2, v3;
|
|
///
|
|
double rmin;
|
|
public:
|
|
///
|
|
Ellipsoid (const Point<3> & aa,
|
|
const Vec<3> & av1,
|
|
const Vec<3> & av2,
|
|
const Vec<3> & av3);
|
|
///
|
|
virtual INSOLID_TYPE BoxInSolid (const BoxSphere<3> & box) const;
|
|
///
|
|
virtual double HesseNorm () const;
|
|
///
|
|
virtual double MaxCurvature () const;
|
|
///
|
|
virtual Point<3> GetSurfacePoint () const;
|
|
|
|
virtual void GetTriangleApproximation (TriangleApproximation & tas,
|
|
const Box<3> & bbox,
|
|
double facets) const;
|
|
|
|
private:
|
|
void CalcData();
|
|
};
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
///
|
|
class Cone : public QuadraticSurface
|
|
{
|
|
///
|
|
Point<3> a, b;
|
|
///
|
|
double ra, rb, minr;
|
|
///
|
|
Vec<3> vab, t0vec, t1vec;
|
|
///
|
|
double vabl, t0, t1;
|
|
double cosphi;
|
|
public:
|
|
///
|
|
Cone (const Point<3> & aa, const Point<3> & ab, double ara, double arb);
|
|
///
|
|
static Primitive * CreateDefault ();
|
|
virtual void GetPrimitiveData (const char *& classname, Array<double> & coeffs) const;
|
|
virtual void SetPrimitiveData (Array<double> & coeffs);
|
|
|
|
///
|
|
virtual INSOLID_TYPE BoxInSolid (const BoxSphere<3> & box) const;
|
|
///
|
|
virtual double HesseNorm () const;
|
|
|
|
virtual double LocH (const Point<3> & p, double x,
|
|
double c,
|
|
const MeshingParameters & mparam,
|
|
double hmax) const;
|
|
|
|
///
|
|
virtual Point<3> GetSurfacePoint () const;
|
|
|
|
virtual void GetTriangleApproximation (TriangleApproximation & tas,
|
|
const Box<3> & bbox,
|
|
double facets) const;
|
|
|
|
private:
|
|
void CalcData();
|
|
};
|
|
|
|
|
|
///
|
|
|
|
/// Elliptic Cone
|
|
/// Josephat Kalezhi (kalezhi@cbu.ac.zm)
|
|
/// February 21st, 2018
|
|
///
|
|
|
|
///
|
|
class EllipticCone : public QuadraticSurface
|
|
{
|
|
Point<3> a;
|
|
Vec<3> vl, vs;
|
|
double h, vlr;
|
|
|
|
public:
|
|
///
|
|
EllipticCone (const Point<3> & aa, const Vec<3> & avl,
|
|
const Vec<3> & avs, double ah, double avlr);
|
|
|
|
static Primitive * CreateDefault ();
|
|
virtual void GetPrimitiveData (const char *& classname, Array<double> & coeffs) const;
|
|
virtual void SetPrimitiveData (Array<double> & coeffs);
|
|
|
|
///
|
|
virtual INSOLID_TYPE BoxInSolid (const BoxSphere<3> & box) const;
|
|
///
|
|
virtual double HesseNorm () const;
|
|
virtual double MaxCurvature () const;
|
|
virtual double MaxCurvatureLoc (const Point<3> & /* c */ ,
|
|
double /* rad */) const;
|
|
///
|
|
virtual Point<3> GetSurfacePoint () const;
|
|
|
|
virtual void GetTriangleApproximation (TriangleApproximation & tas,
|
|
const Box<3> & bbox,
|
|
double facets) const;
|
|
|
|
private:
|
|
void CalcData();
|
|
};
|
|
|
|
|
|
/** Torus
|
|
/// Lorenzo Codecasa (codecasa@elet.polimi.it)
|
|
/// April 27th, 2005
|
|
*/
|
|
class Torus : public OneSurfacePrimitive
|
|
{
|
|
/// center of the torus
|
|
Point<3> c;
|
|
/// vector normal to the symmetry plane of the torus
|
|
Vec<3> n;
|
|
/// Large radius of the torus
|
|
double R;
|
|
/// Small radius of the torus
|
|
double r;
|
|
|
|
public:
|
|
/// OK
|
|
Torus (const Point<3> & ac, const Vec<3> & an, double aR, double ar);
|
|
/// OK
|
|
const Point<3> & Center () const { return c; }
|
|
/// OK
|
|
const Vec<3> & NormalToPlane () const { return n; }
|
|
/// OK
|
|
double LargeRadius () const { return R; }
|
|
/// OK
|
|
double SmallRadius () const { return r; }
|
|
/// OK
|
|
virtual double CalcFunctionValue (const Point<3> & point) const;
|
|
/// OK
|
|
virtual void CalcGradient (const Point<3> & point, Vec<3> & grad) const;
|
|
/// OK
|
|
virtual void CalcHesse (const Point<3> & point, Mat<3> & hesse) const;
|
|
/// OK
|
|
virtual double HesseNorm () const;
|
|
/// OK
|
|
virtual Point<3> GetSurfacePoint () const;
|
|
/// OK
|
|
virtual void GetPrimitiveData (const char *& classname,
|
|
Array<double> & coeffs) const;
|
|
/// OK
|
|
virtual void SetPrimitiveData (Array<double> & coeffs);
|
|
/// OK
|
|
static Primitive * CreateDefault ();
|
|
/// OK
|
|
virtual Primitive * Copy () const;
|
|
/// OK
|
|
virtual void Transform (Transformation<3> & trans);
|
|
/// OK
|
|
virtual int IsIdentic (const Surface & s2, int & inv, double eps) const;
|
|
/// OK
|
|
/// virtual void DefineTangentialPlane (const Point<3> & ap1,
|
|
// const Point<3> & ap2);
|
|
/// OK
|
|
/// virtual void ToPlane (const Point<3> & p3d,
|
|
/// Point<2> & pplane,
|
|
/// double h, int & zone) const;
|
|
/// OK
|
|
/// virtual void FromPlane (const Point<2> & pplane,
|
|
// Point<3> & p, double h) const;
|
|
/// OK
|
|
/// virtual void Project (Point<3> & p) const;
|
|
/// OK
|
|
virtual INSOLID_TYPE BoxInSolid (const BoxSphere<3> & box) const;
|
|
/// OK
|
|
virtual void GetTriangleApproximation (TriangleApproximation & tas,
|
|
const Box<3> & bbox,
|
|
double facets) const;
|
|
/// OK
|
|
virtual void Print (ostream & ist) const;
|
|
/// OK
|
|
virtual void Read (istream & ist);
|
|
};
|
|
|
|
/// ...end
|
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
#endif
|