/usr/include/libwildmagic/Wm5ParametricSurface.h is in libwildmagic-dev 5.13-1ubuntu3.
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// 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 WM5PARAMETRICSURFACE_H
#define WM5PARAMETRICSURFACE_H
#include "Wm5MathematicsLIB.h"
#include "Wm5Surface.h"
#include "Wm5Vector3.h"
namespace Wm5
{
template <typename Real>
class WM5_MATHEMATICS_ITEM ParametricSurface : public Surface<Real>
{
public:
// Abstract base class.
virtual ~ParametricSurface ();
// The parametric domain is either rectangular or triangular. Valid (u,v)
// values for a rectangular domain satisfy
// umin <= u <= umax, vmin <= v <= vmax
// Valid (u,v) values for a triangular domain satisfy
// umin <= u <= umax, vmin <= v <= vmax,
// (vmax-vmin)*(u-umin)+(umax-umin)*(v-vmax) <= 0
Real GetUMin () const;
Real GetUMax () const;
Real GetVMin () const;
Real GetVMax () const;
bool IsRectangular () const;
// position and derivatives up to second order
virtual Vector3<Real> P (Real u, Real v) const = 0;
virtual Vector3<Real> PU (Real u, Real v) const = 0;
virtual Vector3<Real> PV (Real u, Real v) const = 0;
virtual Vector3<Real> PUU (Real u, Real v) const = 0;
virtual Vector3<Real> PUV (Real u, Real v) const = 0;
virtual Vector3<Real> PVV (Real u, Real v) const = 0;
// Compute a coordinate frame. The set {T0,T1,N} is a right-handed
// orthonormal set.
void GetFrame (Real u, Real v, Vector3<Real>& position,
Vector3<Real>& tangent0, Vector3<Real>& tangent1,
Vector3<Real>& normal) const;
// Differential geometric quantities. The returned scalars are the
// principal curvatures and the returned vectors are the corresponding
// principal directions.
void ComputePrincipalCurvatureInfo (Real u, Real v, Real& curv0,
Real& curv1, Vector3<Real>& dir0, Vector3<Real>& dir1);
protected:
ParametricSurface (Real umin, Real umax, Real vmin, Real vmax,
bool rectangular);
Real mUMin, mUMax, mVMin, mVMax;
bool mRectangular;
};
typedef ParametricSurface<float> ParametricSurfacef;
typedef ParametricSurface<double> ParametricSurfaced;
}
#endif
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