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