/usr/include/libwildmagic/Wm5ConformalMap.h is in libwildmagic-dev 5.13-1+b2.
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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 WM5CONFORMALMAP_H
#define WM5CONFORMALMAP_H
#include "Wm5MathematicsLIB.h"
#include "Wm5Vector2.h"
#include "Wm5Vector3.h"
#include "Wm5BasicMesh.h"
#include "Wm5LinearSystem.h"
#include "Wm5PolynomialRoots.h"
namespace Wm5
{
template <typename Real>
class WM5_MATHEMATICS_ITEM ConformalMap
{
public:
// The input mesh should be a closed, manifold surface. That is, it must
// have the topology of a sphere.
//
// The number of vertices in the input is numPoints. The vertex array
// is usually passed as points, but this input can be any data type you
// prefer (points+attributes). The number of triangles is numTriangles.
// The triangles are represented as triples of indices into the vertex
// array. These triples are stored in indices. The caller is responsible
// for deleting the input arrays.
ConformalMap (int numPoints, const Vector3<Real>* points,
int numTriangles, const int* indices, int punctureTriangle = 0);
~ConformalMap ();
// Conformal mapping of mesh to plane. The array of coordinates has a
// one-to-one correspondence with the input vertex array.
const Vector2<Real>* GetPlaneCoordinates () const;
const Vector2<Real>& GetPlaneMin () const;
const Vector2<Real>& GetPlaneMax () const;
// Conformal mapping of mesh to sphere (centered at origin). The array
// of coordinates has a one-to-one correspondence with the input vertex
// array.
const Vector3<Real>* GetSphereCoordinates () const;
Real GetSphereRadius () const;
private:
Real ComputeRadius (const Vector2<Real>& V0, const Vector2<Real>& V1,
const Vector2<Real>& V2, Real areaFraction) const;
// Conformal mapping to a plane. The plane's (px,py) points correspond to
// the mesh's (mx,my,mz) points.
Vector2<Real>* mPlanes;
Vector2<Real> mPlaneMin, mPlaneMax;
// Conformal mapping to a sphere. The sphere's (sx,sy,sz) points
// correspond to the mesh's (mx,my,mz) points.
Vector3<Real>* mSpheres;
Real mRadius;
};
typedef ConformalMap<float> ConformalMapf;
typedef ConformalMap<double> ConformalMapd;
}
#endif
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