/usr/include/libwildmagic/Wm5SurfacePatch.h is in libwildmagic-dev 5.13-1ubuntu3.
This file is owned by root:root, with mode 0o644.
The actual contents of the file can be viewed below.
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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 WM5SURFACEPATCH_H
#define WM5SURFACEPATCH_H
#include "Wm5GraphicsLIB.h"
#include "Wm5Object.h"
#include "Wm5APoint.h"
namespace Wm5
{
class WM5_GRAPHICS_ITEM SurfacePatch : public Object
{
WM5_DECLARE_RTTI;
WM5_DECLARE_NAMES;
WM5_DECLARE_STREAM(SurfacePatch);
protected:
// Construction.
SurfacePatch (float umin, float umax, float vmin, float vmax,
bool rectangular);
public:
// Abstract base class.
virtual ~SurfacePatch ();
// 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
float GetUMin () const;
float GetUMax () const;
float GetVMin () const;
float GetVMax () const;
bool IsRectangular () const;
// Position and derivatives up to second order.
virtual APoint P (float u, float v) const = 0;
virtual AVector PU (float u, float v) const = 0;
virtual AVector PV (float u, float v) const = 0;
virtual AVector PUU (float u, float v) const = 0;
virtual AVector PUV (float u, float v) const = 0;
virtual AVector PVV (float u, float v) const = 0;
// Compute a coordinate frame. The set {T0,T1,N} is a right-handed
// orthonormal set.
AVector Tangent0 (float u, float v) const;
AVector Tangent1 (float u, float v) const;
AVector Normal (float u, float v) const;
void GetFrame (float u, float v, APoint& position, AVector& tangent0,
AVector& tangent1, AVector& normal) const;
// Differential geometric quantities. The returned scalars are the
// principal curvatures and the returned vectors are the corresponding
// principal directions.
void ComputePrincipalCurvatureInfo (float u, float v, float& curv0,
float& curv1, AVector& dir0, AVector& dir1);
protected:
float mUMin, mUMax, mVMin, mVMax;
bool mRectangular;
};
WM5_REGISTER_STREAM(SurfacePatch);
typedef Pointer0<SurfacePatch> SurfacePatchPtr;
}
#endif
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