2009-01-13 04:40:13 +05:00
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///
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class splinesegment3d
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{
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///
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Point<3> p1, p2, p3;
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public:
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///
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splinesegment3d (const Point<3> & ap1, const Point<3> & ap2,
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const Point<3> & ap3);
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///
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void Evaluate (double t, Point<3> & p) const;
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///
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void EvaluateTangent (double t, Vec<3> & tang) const;
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///
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const Point<3> & P1() const { return p1; }
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///
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const Point<3> & P2() const { return p2; }
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///
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const Point<3> & P3() const { return p3; }
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};
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///
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class spline3d
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{
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///
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2009-01-25 17:35:25 +05:00
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Array<splinesegment3d *> segments;
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2009-01-13 04:40:13 +05:00
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public:
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///
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spline3d () { };
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///
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void AddSegment (const Point<3> & ap1, const Point<3> & ap2, const Point<3> & ap3);
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///
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int GetNumSegments () const { return segments.Size(); }
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///
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double ProjectToSpline (Point<3> & p) const;
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///
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double ProjectToSpline (Point<3> & p, double t) const;
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///
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void Evaluate (double t, Point<3> & p) const;
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///
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void EvaluateTangent (double t, Vec<3> & tang) const;
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///
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const Point<3> & P1(int i) const { return segments.Get(i)->P1(); }
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///
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const Point<3> & P2(int i) const { return segments.Get(i)->P2(); }
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///
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const Point<3> & P3(int i) const { return segments.Get(i)->P3(); }
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};
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///
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class splinetube : public Surface
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{
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///
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const spline3d & middlecurve;
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///
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double r;
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/// Vec<3> ex, ey, ez;
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Vec<2> e2x, e2y;
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///
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Point<3> cp;
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public:
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///
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splinetube (const spline3d & amiddlecurve, double ar);
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///
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virtual void DefineTangentialPlane (const Point<3> & ap1, const Point<3> & ap2);
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///
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virtual void ToPlane (const Point<3> & p, Point<2> & pplain, double h, int & zone) const;
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///
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virtual void FromPlane (const Point<2> & pplain, 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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// virtual int RootInBox (const box3d & box) const { return 0; }
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/// 0 .. no, 1 .. yes, 2 .. maybe
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virtual int BoxInSolid (const BoxSphere<3> & box) const;
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/// 0 .. no, 1 .. yes, 2 .. maybe
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virtual double CalcFunctionValue (const Point<3> & point) const;
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///
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virtual void CalcGradient (const Point<3> & point, Vec<3> & grad) const;
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///
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virtual double HesseNorm () const { return 0.5 / r; }
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///
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virtual Point<3> GetSurfacePoint () const;
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///
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virtual void Print (ostream & str) const;
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};
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