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1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 | // Geometric Tools, LLC
// Copyright (c) 1998-2014
// Distributed under the Boost Software License, Version 1.0.
// http://www.boost.org/LICENSE_1_0.txt
// http://www.geometrictools.com/License/Boost/LICENSE_1_0.txt
//
// File Version: 5.0.1 (2010/10/01)
#ifndef WM5CURVESEGMENT_H
#define WM5CURVESEGMENT_H
#include "Wm5GraphicsLIB.h"
#include "Wm5Object.h"
#include "Wm5APoint.h"
namespace Wm5
{
class WM5_GRAPHICS_ITEM CurveSegment : public Object
{
WM5_DECLARE_RTTI;
WM5_DECLARE_NAMES;
WM5_DECLARE_STREAM(CurveSegment);
protected:
// Construction.
CurveSegment (float umin, float umax);
public:
// Abstract base class.
virtual ~CurveSegment ();
// The parametric domain is umin <= u <= umax.
float GetUMin () const;
float GetUMax () const;
// Position and derivatives up to third order.
virtual APoint P (float u) const = 0;
virtual AVector PU (float u) const = 0;
virtual AVector PUU (float u) const = 0;
virtual AVector PUUU (float u) const = 0;
// Differential geometric quantities.
AVector Tangent (float u) const;
AVector Normal (float u) const;
AVector Binormal (float u) const;
void GetFrame (float u, APoint& position, AVector& tangent,
AVector& normal, AVector& binormal) const;
float Curvature (float u) const;
float Torsion (float u) const;
protected:
float mUMin, mUMax;
};
WM5_REGISTER_STREAM(CurveSegment);
typedef Pointer0<CurveSegment> CurveSegmentPtr;
}
#endif
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