vcglib/vcg/math/eigen.h

132 lines
4.5 KiB
C++

/****************************************************************************
* VCGLib o o *
* Visual and Computer Graphics Library o o *
* _ O _ *
* Copyright(C) 2004 \/)\/ *
* Visual Computing Lab /\/| *
* ISTI - Italian National Research Council | *
* \ *
* All rights reserved. *
* *
* This program is free software; you can redistribute it and/or modify *
* it under the terms of the GNU General Public License as published by *
* the Free Software Foundation; either version 2 of the License, or *
* (at your option) any later version. *
* *
* This program is distributed in the hope that it will be useful, *
* but WITHOUT ANY WARRANTY; without even the implied warranty of *
* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the *
* GNU General Public License (http://www.gnu.org/licenses/gpl.txt) *
* for more details. *
* *
****************************************************************************/
#ifndef EIGEN_VCGLIB
#define EIGEN_VCGLIB
#define EIGEN_MATRIXBASE_PLUGIN <vcg/math/eigen_vcgaddons.h>
#include "../Eigen/LU"
#include "../Eigen/Geometry"
#include "../Eigen/Array"
#include "../Eigen/Core"
#include "base.h"
namespace Eigen {
template<> struct NumTraits<unsigned char>
{
typedef unsigned char Real;
typedef float FloatingPoint;
enum {
IsComplex = 0,
HasFloatingPoint = 0,
ReadCost = 1,
AddCost = 1,
MulCost = 1
};
};
template<> struct NumTraits<short int>
{
typedef short int Real;
typedef float FloatingPoint;
enum {
IsComplex = 0,
HasFloatingPoint = 0,
ReadCost = 1,
AddCost = 1,
MulCost = 1
};
};
}
#define VCG_EIGEN_INHERIT_ASSIGNMENT_OPERATOR(Derived, Op) \
template<typename OtherDerived> \
Derived& operator Op(const Eigen::MatrixBase<OtherDerived>& other) \
{ \
Base::operator Op(other.derived()); return *this;\
} \
Derived& operator Op(const Derived& other) \
{ \
Base::operator Op(other); return *this;\
}
#define VCG_EIGEN_INHERIT_SCALAR_ASSIGNMENT_OPERATOR(Derived, Op) \
template<typename Other> \
Derived& operator Op(const Other& scalar) \
{ \
Base::operator Op(scalar); return *this;\
}
#define VCG_EIGEN_INHERIT_ASSIGNMENT_OPERATORS(Derived) \
VCG_EIGEN_INHERIT_ASSIGNMENT_OPERATOR(Derived, =) \
VCG_EIGEN_INHERIT_ASSIGNMENT_OPERATOR(Derived, +=) \
VCG_EIGEN_INHERIT_ASSIGNMENT_OPERATOR(Derived, -=) \
VCG_EIGEN_INHERIT_SCALAR_ASSIGNMENT_OPERATOR(Derived, *=) \
VCG_EIGEN_INHERIT_SCALAR_ASSIGNMENT_OPERATOR(Derived, /=)
namespace vcg {
template<typename Derived1, typename Derived2>
typename Eigen::ei_traits<Derived1>::Scalar
Angle(const Eigen::MatrixBase<Derived1>& p1, const Eigen::MatrixBase<Derived2> & p2)
{
EIGEN_STATIC_ASSERT_VECTOR_ONLY(Derived1)
EIGEN_STATIC_ASSERT_VECTOR_ONLY(Derived2)
EIGEN_STATIC_ASSERT_FIXED_SIZE(Derived1)
EIGEN_STATIC_ASSERT_FIXED_SIZE(Derived2)
EIGEN_STATIC_ASSERT_SAME_VECTOR_SIZE(Derived1,Derived2)
typedef typename Eigen::ei_traits<Derived1>::Scalar Scalar;
Scalar w = p1.norm()*p2.norm();
if(w==0) return Scalar(-1);
Scalar t = (p1.dot(p2))/w;
if(t>1) t = 1;
else if(t<-1) t = -1;
return vcg::math::Acos(t);
}
template<typename Derived1>
inline typename Eigen::ei_traits<Derived1>::Scalar Norm( const Eigen::MatrixBase<Derived1>& p)
{ return p.norm(); }
template<typename Derived1>
inline typename Eigen::ei_traits<Derived1>::Scalar SquaredNorm( const Eigen::MatrixBase<Derived1>& p)
{ return p.norm2(); }
template<typename Derived1, typename Derived2>
inline typename Eigen::ei_traits<Derived1>::Scalar
Distance(const Eigen::MatrixBase<Derived1>& p1, const Eigen::MatrixBase<Derived2> & p2)
{ return (p1-p2).norm(); }
template<typename Derived1, typename Derived2>
inline typename Eigen::ei_traits<Derived1>::Scalar
SquaredDistance(const Eigen::MatrixBase<Derived1>& p1, const Eigen::MatrixBase<Derived2> & p2)
{ return (p1-p2).norm2(); }
}
#endif