// @(#)root/smatrix:$Id$
// Authors: T. Glebe, L. Moneta    2005  

#ifndef ROOT_Math_BinaryOperators
#define ROOT_Math_BinaryOperators
//======================================================
//
// ATTENTION: This file was automatically generated,
//            do not edit!
//
// author:    Thorsten Glebe
//            HERA-B Collaboration
//            Max-Planck-Institut fuer Kernphysik
//            Saupfercheckweg 1
//            69117 Heidelberg
//            Germany
//            E-mail: T.Glebe@mpi-hd.mpg.de
//
//======================================================

#ifndef ROOT_Math_BinaryOpPolicy
#include "Math/BinaryOpPolicy.h"
#endif

namespace ROOT { 

  namespace Math { 



template <class T, unsigned int D> class SVector;
template <class T, unsigned int D1, unsigned int D2, class R> class SMatrix;


//==============================================================================
// AddOp
//==============================================================================
/**
   Addition Operation Class

   @ingroup Expression
 */
template <class T>
class AddOp {
public:
  static inline T apply(const T& lhs, const T& rhs) {
    return lhs + rhs;
  }
};


/**
   Addition of two vectors v3 = v1+v2
   returning a vector expression

   @ingroup VectFunction
*/
//==============================================================================
// operator+ (SVector, binary)
//==============================================================================
template <  class T, unsigned int D>
inline VecExpr<BinaryOp<AddOp<T>, SVector<T,D>, SVector<T,D>, T>, T, D>
 operator+(const SVector<T,D>& lhs, const SVector<T,D>& rhs) {
  typedef BinaryOp<AddOp<T>, SVector<T,D>, SVector<T,D>, T> AddOpBinOp;

  return VecExpr<AddOpBinOp,T,D>(AddOpBinOp(AddOp<T>(),lhs,rhs));
}


//==============================================================================
// operator+ (SVector, binary)
//==============================================================================
template <class A,  class T, unsigned int D>
inline VecExpr<BinaryOp<AddOp<T>, VecExpr<A,T,D>, SVector<T,D>, T>, T, D>
 operator+(const VecExpr<A,T,D>& lhs, const SVector<T,D>& rhs) {
  typedef BinaryOp<AddOp<T>, VecExpr<A,T,D>, SVector<T,D>, T> AddOpBinOp;

  return VecExpr<AddOpBinOp,T,D>(AddOpBinOp(AddOp<T>(),lhs,rhs));
}


//==============================================================================
// operator+ (SVector, binary)
//==============================================================================
template < class A, class T, unsigned int D>
inline VecExpr<BinaryOp<AddOp<T>, SVector<T,D>, VecExpr<A,T,D>, T>, T, D>
 operator+(const SVector<T,D>& lhs, const VecExpr<A,T,D>& rhs) {
  typedef BinaryOp<AddOp<T>, SVector<T,D>, VecExpr<A,T,D>, T> AddOpBinOp;

  return VecExpr<AddOpBinOp,T,D>(AddOpBinOp(AddOp<T>(),lhs,rhs));
}


//==============================================================================
// operator+ (SVector, binary)
//==============================================================================
template <class A, class B, class T, unsigned int D>
inline VecExpr<BinaryOp<AddOp<T>, VecExpr<A,T,D>, VecExpr<B,T,D>, T>, T, D>
 operator+(const VecExpr<A,T,D>& lhs, const VecExpr<B,T,D>& rhs) {
  typedef BinaryOp<AddOp<T>, VecExpr<A,T,D>, VecExpr<B,T,D>, T> AddOpBinOp;

  return VecExpr<AddOpBinOp,T,D>(AddOpBinOp(AddOp<T>(),lhs,rhs));
}


/**
   Addition of a scalar to a each vector element:  v2(i) = v1(i) + a 
   returning a vector expression

   @ingroup VectFunction
*/
//==============================================================================
// operator+ (SVector, binary, Constant)
//==============================================================================
template <class A,  class T, unsigned int D>
inline VecExpr<BinaryOpCopyR<AddOp<T>, SVector<T,D>, Constant<A>, T>, T, D>
 operator+(const SVector<T,D>& lhs, const A& rhs) {
  typedef BinaryOpCopyR<AddOp<T>, SVector<T,D>, Constant<A>, T> AddOpBinOp;

  return VecExpr<AddOpBinOp,T,D>(AddOpBinOp(AddOp<T>(),lhs,Constant<A>(rhs)));
}

/**
   Addition of a scalar to each vector element v2(i) = a + v1(i)
   returning a vector expression

   @ingroup VectFunction
*/
//==============================================================================
// operator+ (SVector, binary, Constant)
//==============================================================================
template <class A,  class T, unsigned int D>
inline VecExpr<BinaryOpCopyL<AddOp<T>, Constant<A>, SVector<T,D>, T>, T, D>
 operator+(const A& lhs, const SVector<T,D>& rhs) {
  typedef BinaryOpCopyL<AddOp<T>, Constant<A>, SVector<T,D>, T> AddOpBinOp;

  return VecExpr<AddOpBinOp,T,D>(AddOpBinOp(AddOp<T>(),Constant<A>(lhs),rhs));
}


//==============================================================================
// operator+ (SVector, binary, Constant)
//==============================================================================
template <class A, class B, class T, unsigned int D>
inline VecExpr<BinaryOpCopyR<AddOp<T>, VecExpr<B,T,D>, Constant<A>, T>, T, D>
 operator+(const VecExpr<B,T,D>& lhs, const A& rhs) {
  typedef BinaryOpCopyR<AddOp<T>, VecExpr<B,T,D>, Constant<A>, T> AddOpBinOp;

  return VecExpr<AddOpBinOp,T,D>(AddOpBinOp(AddOp<T>(),lhs,Constant<A>(rhs)));
}

//==============================================================================
// operator+ (SVector, binary, Constant)
//==============================================================================
template <class A, class B, class T, unsigned int D>
inline VecExpr<BinaryOpCopyL<AddOp<T>, Constant<A>, VecExpr<B,T,D>, T>, T, D>
 operator+(const A& lhs, const VecExpr<B,T,D>& rhs) {
  typedef BinaryOpCopyL<AddOp<T>, Constant<A>, VecExpr<B,T,D>, T> AddOpBinOp;

  return VecExpr<AddOpBinOp,T,D>(AddOpBinOp(AddOp<T>(),Constant<A>(lhs),rhs));
}


/**
   Addition of two matrices C = A+B
   returning a matrix expression

   @ingroup MatrixFunctions
*/
//==============================================================================
// operator+ (SMatrix, binary)
//==============================================================================
template <  class T, unsigned int D, unsigned int D2, class R1, class R2>
inline Expr<BinaryOp<AddOp<T>, SMatrix<T,D,D2,R1>, SMatrix<T,D,D2,R2>, T>, T, D, D2, typename AddPolicy<T,D,D2,R1,R2>::RepType >
 operator+(const SMatrix<T,D,D2,R1>& lhs, const SMatrix<T,D,D2,R2>& rhs) {
  typedef BinaryOp<AddOp<T>, SMatrix<T,D,D2,R1>, SMatrix<T,D,D2,R2>, T> AddOpBinOp;

  return Expr<AddOpBinOp,T,D,D2,typename AddPolicy<T,D,D2,R1,R2>::RepType>(AddOpBinOp(AddOp<T>(),lhs,rhs));
}


//==============================================================================
// operator+ (SMatrix, binary)
//==============================================================================
template <class A,  class T, unsigned int D, unsigned int D2, class R1, class R2>
inline Expr<BinaryOp<AddOp<T>, Expr<A,T,D,D2,R1>, SMatrix<T,D,D2,R2>, T>, T, D, D2, typename AddPolicy<T,D,D2,R1,R2>::RepType>
 operator+(const Expr<A,T,D,D2,R1>& lhs, const SMatrix<T,D,D2,R2>& rhs) {
  typedef BinaryOp<AddOp<T>, Expr<A,T,D,D2,R1>, SMatrix<T,D,D2,R2>, T> AddOpBinOp;

  return Expr<AddOpBinOp,T,D,D2,typename AddPolicy<T,D,D2,R1,R2>::RepType>(AddOpBinOp(AddOp<T>(),lhs,rhs));
}


//==============================================================================
// operator+ (SMatrix, binary)
//==============================================================================
template < class A, class T, unsigned int D, unsigned int D2, class R1, class R2>
inline Expr<BinaryOp<AddOp<T>, SMatrix<T,D,D2,R1>, Expr<A,T,D,D2,R2>, T>, T, D, D2,typename AddPolicy<T,D,D2,R1,R2>::RepType>
 operator+(const SMatrix<T,D,D2,R1>& lhs, const Expr<A,T,D,D2,R2>& rhs) {
  typedef BinaryOp<AddOp<T>, SMatrix<T,D,D2,R1>, Expr<A,T,D,D2,R2>, T> AddOpBinOp;

  return Expr<AddOpBinOp,T,D,D2,typename AddPolicy<T,D,D2,R1,R2>::RepType>(AddOpBinOp(AddOp<T>(),lhs,rhs));
}


//==============================================================================
// operator+ (SMatrix, binary)
//==============================================================================
template <class A, class B, class T, unsigned int D, unsigned int D2, class R1, class R2>
inline Expr<BinaryOp<AddOp<T>, Expr<A,T,D,D2,R1>, Expr<B,T,D,D2,R2>, T>, T, D, D2, typename AddPolicy<T,D,D2,R1,R2>::RepType >
 operator+(const Expr<A,T,D,D2,R1>& lhs, const Expr<B,T,D,D2,R2>& rhs) {
  typedef BinaryOp<AddOp<T>, Expr<A,T,D,D2,R1>, Expr<B,T,D,D2,R2>, T> AddOpBinOp;

  return Expr<AddOpBinOp,T,D,D2,typename AddPolicy<T,D,D2,R1,R2>::RepType>(AddOpBinOp(AddOp<T>(),lhs,rhs));
}


/**
   Addition element by element of matrix and a scalar  C(i,j) = A(i,j) + s
   returning a matrix expression

   @ingroup MatrixFunctions
*/
//=============================================================================
// operator+ (SMatrix, binary, Constant)
//=============================================================================
template <class A,  class T, unsigned int D, unsigned int D2, class R>
inline Expr<BinaryOpCopyR<AddOp<T>, SMatrix<T,D,D2,R>, Constant<A>, T>, T, D, D2, R>
 operator+(const SMatrix<T,D,D2,R>& lhs, const A& rhs) {
  typedef BinaryOpCopyR<AddOp<T>, SMatrix<T,D,D2,R>, Constant<A>, T> AddOpBinOp;

  return Expr<AddOpBinOp,T,D,D2,R>(AddOpBinOp(AddOp<T>(),lhs,Constant<A>(rhs)));
}

/**
   Addition element by element of matrix and a scalar  C(i,j) = s + A(i,j) 
   returning a matrix expression

   @ingroup MatrixFunctions
*/
//==============================================================================
// operator+ (SMatrix, binary, Constant)
//==============================================================================
template <class A,  class T, unsigned int D, unsigned int D2, class R>
inline Expr<BinaryOpCopyL<AddOp<T>, Constant<A>, SMatrix<T,D,D2,R>, T>, T, D, D2, R>
 operator+(const A& lhs, const SMatrix<T,D,D2,R>& rhs) {
  typedef BinaryOpCopyL<AddOp<T>, Constant<A>, SMatrix<T,D,D2,R>, T> AddOpBinOp;

  return Expr<AddOpBinOp,T,D,D2,R>(AddOpBinOp(AddOp<T>(),
                                              Constant<A>(lhs),rhs));
}


//==============================================================================
// operator+ (SMatrix, binary, Constant)
//==============================================================================
template <class A, class B, class T, unsigned int D, unsigned int D2, class R>
inline Expr<BinaryOpCopyR<AddOp<T>, Expr<B,T,D,D2,R>, Constant<A>, T>, T, D, D2, R>
 operator+(const Expr<B,T,D,D2,R>& lhs, const A& rhs) {
  typedef BinaryOpCopyR<AddOp<T>, Expr<B,T,D,D2,R>, Constant<A>, T> AddOpBinOp;

  return Expr<AddOpBinOp,T,D,D2,R>(AddOpBinOp(AddOp<T>(),
                                              lhs,Constant<A>(rhs)));
}

//==============================================================================
// operator+ (SMatrix, binary, Constant)
//==============================================================================
template <class A, class B, class T, unsigned int D, unsigned int D2, class R>
inline Expr<BinaryOpCopyL<AddOp<T>, Constant<A>, Expr<B,T,D,D2,R>, T>, T, D, D2, R>
 operator+(const A& lhs, const Expr<B,T,D,D2,R>& rhs) {
  typedef BinaryOpCopyL<AddOp<T>, Constant<A>, Expr<B,T,D,D2,R>, T> AddOpBinOp;

  return Expr<AddOpBinOp,T,D,D2,R>(AddOpBinOp(AddOp<T>(),
                                              Constant<A>(lhs),rhs));
}


//==============================================================================
// MinOp
//==============================================================================
/**
   Subtraction Operation Class

   @ingroup Expression
 */
template <class T>
class MinOp {
public:
  static inline T apply(const T& lhs, const T& rhs) {
    return lhs - rhs;
  }
};


/**
   Vector Subtraction:  v3 = v1 - v2
   returning a vector expression

   @ingroup VectFunction
*/
//==============================================================================
// operator- (SVector, binary)
//==============================================================================
template <  class T, unsigned int D>
inline VecExpr<BinaryOp<MinOp<T>, SVector<T,D>, SVector<T,D>, T>, T, D>
 operator-(const SVector<T,D>& lhs, const SVector<T,D>& rhs) {
  typedef BinaryOp<MinOp<T>, SVector<T,D>, SVector<T,D>, T> MinOpBinOp;

  return VecExpr<MinOpBinOp,T,D>(MinOpBinOp(MinOp<T>(),lhs,rhs));
}


//==============================================================================
// operator- (SVector, binary)
//==============================================================================
template <class A,  class T, unsigned int D>
inline VecExpr<BinaryOp<MinOp<T>, VecExpr<A,T,D>, SVector<T,D>, T>, T, D>
 operator-(const VecExpr<A,T,D>& lhs, const SVector<T,D>& rhs) {
  typedef BinaryOp<MinOp<T>, VecExpr<A,T,D>, SVector<T,D>, T> MinOpBinOp;

  return VecExpr<MinOpBinOp,T,D>(MinOpBinOp(MinOp<T>(),lhs,rhs));
}


//==============================================================================
// operator- (SVector, binary)
//==============================================================================
template < class A, class T, unsigned int D>
inline VecExpr<BinaryOp<MinOp<T>, SVector<T,D>, VecExpr<A,T,D>, T>, T, D>
 operator-(const SVector<T,D>& lhs, const VecExpr<A,T,D>& rhs) {
  typedef BinaryOp<MinOp<T>, SVector<T,D>, VecExpr<A,T,D>, T> MinOpBinOp;

  return VecExpr<MinOpBinOp,T,D>(MinOpBinOp(MinOp<T>(),lhs,rhs));
}


//==============================================================================
// operator- (SVector, binary)
//==============================================================================
template <class A, class B, class T, unsigned int D>
inline VecExpr<BinaryOp<MinOp<T>, VecExpr<A,T,D>, VecExpr<B,T,D>, T>, T, D>
 operator-(const VecExpr<A,T,D>& lhs, const VecExpr<B,T,D>& rhs) {
  typedef BinaryOp<MinOp<T>, VecExpr<A,T,D>, VecExpr<B,T,D>, T> MinOpBinOp;

  return VecExpr<MinOpBinOp,T,D>(MinOpBinOp(MinOp<T>(),lhs,rhs));
}


/**
   Subtraction of a scalar from each vector element:  v2(i) = v1(i) - a
   returning a vector expression

   @ingroup VectFunction
*/
//==============================================================================
// operator- (SVector, binary, Constant)
//==============================================================================
template <class A,  class T, unsigned int D>
inline VecExpr<BinaryOpCopyR<MinOp<T>, SVector<T,D>, Constant<A>, T>, T, D>
 operator-(const SVector<T,D>& lhs, const A& rhs) {
  typedef BinaryOpCopyR<MinOp<T>, SVector<T,D>, Constant<A>, T> MinOpBinOp;

  return VecExpr<MinOpBinOp,T,D>(MinOpBinOp(MinOp<T>(),lhs,Constant<A>(rhs)));
}

/**
   Subtraction  scalar vector (for each vector element) v2(i) = a - v1(i)
   returning a vector expression

   @ingroup VectFunction
*/
//==============================================================================
// operator- (SVector, binary, Constant)
//==============================================================================
template <class A,  class T, unsigned int D>
inline VecExpr<BinaryOpCopyL<MinOp<T>, Constant<A>, SVector<T,D>, T>, T, D>
 operator-(const A& lhs, const SVector<T,D>& rhs) {
  typedef BinaryOpCopyL<MinOp<T>, Constant<A>, SVector<T,D>, T> MinOpBinOp;

  return VecExpr<MinOpBinOp,T,D>(MinOpBinOp(MinOp<T>(),Constant<A>(lhs),rhs));
}


//==============================================================================
// operator- (SVector, binary, Constant)
//==============================================================================
template <class A, class B, class T, unsigned int D>
inline VecExpr<BinaryOpCopyR<MinOp<T>, VecExpr<B,T,D>, Constant<A>, T>, T, D>
 operator-(const VecExpr<B,T,D>& lhs, const A& rhs) {
  typedef BinaryOpCopyR<MinOp<T>, VecExpr<B,T,D>, Constant<A>, T> MinOpBinOp;

  return VecExpr<MinOpBinOp,T,D>(MinOpBinOp(MinOp<T>(),lhs,Constant<A>(rhs)));
}

//==============================================================================
// operator- (SVector, binary, Constant)
//==============================================================================
template <class A, class B, class T, unsigned int D>
inline VecExpr<BinaryOpCopyL<MinOp<T>, Constant<A>, VecExpr<B,T,D>, T>, T, D>
 operator-(const A& lhs, const VecExpr<B,T,D>& rhs) {
  typedef BinaryOpCopyL<MinOp<T>, Constant<A>, VecExpr<B,T,D>, T> MinOpBinOp;

  return VecExpr<MinOpBinOp,T,D>(MinOpBinOp(MinOp<T>(),Constant<A>(lhs),rhs));
}


/**
   Subtraction of two matrices  C = A-B
   returning a matrix expression

   @ingroup MatrixFunctions
*/
//==============================================================================
// operator- (SMatrix, binary)
//==============================================================================
template <  class T, unsigned int D, unsigned int D2, class R1, class R2>
inline Expr<BinaryOp<MinOp<T>, SMatrix<T,D,D2,R1>, SMatrix<T,D,D2,R2>, T>, T, D, D2, typename AddPolicy<T,D,D2,R1,R2>::RepType>
 operator-(const SMatrix<T,D,D2,R1>& lhs, const SMatrix<T,D,D2,R2>& rhs) {
  typedef BinaryOp<MinOp<T>, SMatrix<T,D,D2,R1>, SMatrix<T,D,D2,R2>, T> MinOpBinOp;

  return Expr<MinOpBinOp,T,D,D2,typename AddPolicy<T,D,D2,R1,R2>::RepType>(MinOpBinOp(MinOp<T>(),lhs,rhs));
}


//==============================================================================
// operator- (SMatrix, binary)
//==============================================================================
template <class A,  class T, unsigned int D, unsigned int D2, class R1, class R2>
inline Expr<BinaryOp<MinOp<T>, Expr<A,T,D,D2,R1>, SMatrix<T,D,D2,R2>, T>, T, D, D2,typename AddPolicy<T,D,D2,R1,R2>::RepType>
 operator-(const Expr<A,T,D,D2,R1>& lhs, const SMatrix<T,D,D2,R2>& rhs) {
  typedef BinaryOp<MinOp<T>, Expr<A,T,D,D2,R1>, SMatrix<T,D,D2,R2>, T> MinOpBinOp;

  return Expr<MinOpBinOp,T,D,D2,typename AddPolicy<T,D,D2,R1,R2>::RepType>(MinOpBinOp(MinOp<T>(),lhs,rhs));
}


//==============================================================================
// operator- (SMatrix, binary)
//==============================================================================
template < class A, class T, unsigned int D, unsigned int D2, class R1, class R2>
inline Expr<BinaryOp<MinOp<T>, SMatrix<T,D,D2,R1>, Expr<A,T,D,D2,R2>, T>, T, D, D2, typename AddPolicy<T,D,D2,R1,R2>::RepType>
 operator-(const SMatrix<T,D,D2,R1>& lhs, const Expr<A,T,D,D2,R2>& rhs) {
  typedef BinaryOp<MinOp<T>, SMatrix<T,D,D2,R1>, Expr<A,T,D,D2,R2>, T> MinOpBinOp;

  return Expr<MinOpBinOp,T,D,D2,typename AddPolicy<T,D,D2,R1,R2>::RepType>(MinOpBinOp(MinOp<T>(),lhs,rhs));
}


//==============================================================================
// operator- (SMatrix, binary)
//==============================================================================
template <class A, class B, class T, unsigned int D, unsigned int D2, class R1, class R2>
inline Expr<BinaryOp<MinOp<T>, Expr<A,T,D,D2,R1>, Expr<B,T,D,D2,R2>, T>, T, D, D2,typename AddPolicy<T,D,D2,R1,R2>::RepType>
 operator-(const Expr<A,T,D,D2,R1>& lhs, const Expr<B,T,D,D2,R2>& rhs) {
  typedef BinaryOp<MinOp<T>, Expr<A,T,D,D2,R1>, Expr<B,T,D,D2,R2>, T> MinOpBinOp;

  return Expr<MinOpBinOp,T,D,D2,typename AddPolicy<T,D,D2,R1,R2>::RepType>(MinOpBinOp(MinOp<T>(),lhs,rhs));
}


/**
   Subtraction of a scalar and a matrix (element wise)  B(i,j)  = A(i,j) - s 
   returning a matrix expression

   @ingroup MatrixFunctions
*/
//==============================================================================
// operator- (SMatrix, binary, Constant)
//==============================================================================
template <class A,  class T, unsigned int D, unsigned int D2, class R>
inline Expr<BinaryOpCopyR<MinOp<T>, SMatrix<T,D,D2,R>, Constant<A>, T>, T, D, D2, R>
 operator-(const SMatrix<T,D,D2,R>& lhs, const A& rhs) {
  typedef BinaryOpCopyR<MinOp<T>, SMatrix<T,D,D2,R>, Constant<A>, T> MinOpBinOp;

  return Expr<MinOpBinOp,T,D,D2,R>(MinOpBinOp(MinOp<T>(),
                                              lhs,Constant<A>(rhs)));
}

/**
   Subtraction of a scalar and a matrix (element wise)  B(i,j)  = s - A(i,j) 
   returning a matrix expression

   @ingroup MatrixFunctions
*/
//==============================================================================
// operator- (SMatrix, binary, Constant)
//==============================================================================
template <class A,  class T, unsigned int D, unsigned int D2, class R>
inline Expr<BinaryOpCopyL<MinOp<T>, Constant<A>, SMatrix<T,D,D2,R>, T>, T, D, D2, R>
 operator-(const A& lhs, const SMatrix<T,D,D2,R>& rhs) {
  typedef BinaryOpCopyL<MinOp<T>, Constant<A>, SMatrix<T,D,D2,R>, T> MinOpBinOp;

  return Expr<MinOpBinOp,T,D,D2,R>(MinOpBinOp(MinOp<T>(),Constant<A>(lhs),rhs));
}

//==============================================================================
// operator- (SMatrix, binary, Constant)
//==============================================================================
template <class A, class B, class T, unsigned int D, unsigned int D2, class R>
inline Expr<BinaryOpCopyR<MinOp<T>, Expr<B,T,D,D2,R>, Constant<A>, T>, T, D, D2, R>
 operator-(const Expr<B,T,D,D2,R>& lhs, const A& rhs) {
  typedef BinaryOpCopyR<MinOp<T>, Expr<B,T,D,D2,R>, Constant<A>, T> MinOpBinOp;

  return Expr<MinOpBinOp,T,D,D2,R>(MinOpBinOp(MinOp<T>(),lhs,Constant<A>(rhs)));
}

//==============================================================================
// operator- (SMatrix, binary, Constant)
//==============================================================================
template <class A, class B, class T, unsigned int D, unsigned int D2, class R>
inline Expr<BinaryOpCopyL<MinOp<T>, Constant<A>, Expr<B,T,D,D2,R>, T>, T, D, D2, R>
 operator-(const A& lhs, const Expr<B,T,D,D2,R>& rhs) {
  typedef BinaryOpCopyL<MinOp<T>, Constant<A>, Expr<B,T,D,D2,R>, T> MinOpBinOp;

  return Expr<MinOpBinOp,T,D,D2,R>(MinOpBinOp(MinOp<T>(),
                                              Constant<A>(lhs),rhs));
}


/**
   Multiplication (element-wise) Operation Class

   @ingroup Expression
 */
//==============================================================================
// MulOp
//==============================================================================
template <class T>
class MulOp {
public:
  static inline T apply(const T& lhs, const T& rhs) {
    return lhs * rhs;
  }
};

/**
   Element by element vector product v3(i) = v1(i)*v2(i) 
   returning a vector expression.
   Note this is NOT the Dot, Cross or Tensor product. 

   @ingroup VectFunction
*/
//==============================================================================
// operator* (SVector, binary)
//==============================================================================
template <  class T, unsigned int D>
inline VecExpr<BinaryOp<MulOp<T>, SVector<T,D>, SVector<T,D>, T>, T, D>
 operator*(const SVector<T,D>& lhs, const SVector<T,D>& rhs) {
  typedef BinaryOp<MulOp<T>, SVector<T,D>, SVector<T,D>, T> MulOpBinOp;

  return VecExpr<MulOpBinOp,T,D>(MulOpBinOp(MulOp<T>(),lhs,rhs));
}


//==============================================================================
// operator* (SVector, binary)
//==============================================================================
// template <class A,  class T, unsigned int D, class R>
// inline VecExpr<BinaryOp<MulOp<T>, VecExpr<A,T,D>, SVector<T,D>, T>, T, D>
//  operator*(const VecExpr<A,T,D,1,R>& lhs, const SVector<T,D>& rhs) {
//   typedef BinaryOp<MulOp<T>, VecExpr<A,T,D,1,R>, SVector<T,D>, T> MulOpBinOp;
//   return VecExpr<MulOpBinOp,T,D>(MulOpBinOp(MulOp<T>(),lhs,rhs));
// }
template <class A,  class T, unsigned int D>
inline VecExpr<BinaryOp<MulOp<T>, Expr<A,T,D>, SVector<T,D>, T>, T, D>
 operator*(const VecExpr<A,T,D>& lhs, const SVector<T,D>& rhs) {
  typedef BinaryOp<MulOp<T>, VecExpr<A,T,D>, SVector<T,D>, T> MulOpBinOp;
  return VecExpr<MulOpBinOp,T,D>(MulOpBinOp(MulOp<T>(),lhs,rhs));
}


//==============================================================================
// operator* (SVector, binary)
//==============================================================================
template < class A, class T, unsigned int D>
inline VecExpr<BinaryOp<MulOp<T>, SVector<T,D>, VecExpr<A,T,D>, T>, T, D>
 operator*(const SVector<T,D>& lhs, const VecExpr<A,T,D>& rhs) {
  typedef BinaryOp<MulOp<T>, SVector<T,D>, VecExpr<A,T,D>, T> MulOpBinOp;
  return VecExpr<MulOpBinOp,T,D>(MulOpBinOp(MulOp<T>(),lhs,rhs));
}


//==============================================================================
// operator* (SVector, binary)
//==============================================================================
template <class A, class B, class T, unsigned int D>
inline VecExpr<BinaryOp<MulOp<T>, VecExpr<A,T,D>, VecExpr<B,T,D>, T>, T, D>
 operator*(const VecExpr<A,T,D>& lhs, const VecExpr<B,T,D>& rhs) {
  typedef BinaryOp<MulOp<T>, VecExpr<A,T,D>, VecExpr<B,T,D>, T> MulOpBinOp;
  return VecExpr<MulOpBinOp,T,D>(MulOpBinOp(MulOp<T>(),lhs,rhs));
}


//==============================================================================
// operator* (SVector, binary, Constant)
//==============================================================================
template <class A,  class T, unsigned int D>
inline VecExpr<BinaryOpCopyR<MulOp<T>, SVector<T,D>, Constant<A>, T>, T, D>
 operator*(const SVector<T,D>& lhs, const A& rhs) {
  typedef BinaryOpCopyR<MulOp<T>, SVector<T,D>, Constant<A>, T> MulOpBinOp;

  return VecExpr<MulOpBinOp,T,D>(MulOpBinOp(MulOp<T>(),lhs,Constant<A>(rhs)));
}

//==============================================================================
// operator* (SVector, binary, Constant)
//==============================================================================
template <class A,  class T, unsigned int D>
inline VecExpr<BinaryOpCopyL<MulOp<T>, Constant<A>, SVector<T,D>, T>, T, D>
 operator*(const A& lhs, const SVector<T,D>& rhs) {
  typedef BinaryOpCopyL<MulOp<T>, Constant<A>, SVector<T,D>, T> MulOpBinOp;

  return VecExpr<MulOpBinOp,T,D>(MulOpBinOp(MulOp<T>(),Constant<A>(lhs),rhs));
}


//==============================================================================
// operator* (SVector, binary, Constant)
//==============================================================================
template <class A, class B, class T, unsigned int D>
inline VecExpr<BinaryOpCopyR<MulOp<T>, VecExpr<B,T,D>, Constant<A>, T>, T, D>
 operator*(const VecExpr<B,T,D>& lhs, const A& rhs) {
  typedef BinaryOpCopyR<MulOp<T>, VecExpr<B,T,D>, Constant<A>, T> MulOpBinOp;

  return VecExpr<MulOpBinOp,T,D>(MulOpBinOp(MulOp<T>(),lhs,Constant<A>(rhs)));
}

//==============================================================================
// operator* (SVector, binary, Constant)
//==============================================================================
template <class A, class B, class T, unsigned int D>
inline VecExpr<BinaryOpCopyL<MulOp<T>, Constant<A>, VecExpr<B,T,D>, T>, T, D>
 operator*(const A& lhs, const VecExpr<B,T,D>& rhs) {
  typedef BinaryOpCopyL<MulOp<T>, Constant<A>, VecExpr<B,T,D>, T> MulOpBinOp;

  return VecExpr<MulOpBinOp,T,D>(MulOpBinOp(MulOp<T>(),Constant<A>(lhs),rhs));
}

/**
   Element by element matrix multiplication  C(i,j) = A(i,j)*B(i,j) 
   returning a matrix expression. This is not a matrix-matrix multiplication and works only 
   for matrices of the same dimensions. 

   @ingroup MatrixFunctions
*/
// Times:  Function for element - wise multiplication
//==============================================================================
// Times (SMatrix, binary)
//==============================================================================
template <  class T, unsigned int D, unsigned int D2, class R1, class R2>
inline Expr<BinaryOp<MulOp<T>, SMatrix<T,D,D2,R1>, SMatrix<T,D,D2,R2>, T>, T, D, D2, typename AddPolicy<T,D,D2,R1,R2>::RepType>
 Times(const SMatrix<T,D,D2,R1>& lhs, const SMatrix<T,D,D2,R2>& rhs) {
  typedef BinaryOp<MulOp<T>, SMatrix<T,D,D2,R1>, SMatrix<T,D,D2,R2>, T> MulOpBinOp;

  return Expr<MulOpBinOp,T,D,D2,typename AddPolicy<T,D,D2,R1,R2>::RepType>(MulOpBinOp(MulOp<T>(),lhs,rhs));
}


//==============================================================================
// Times (SMatrix, binary)
//==============================================================================
template <class A,  class T, unsigned int D, unsigned int D2, class R1, class R2>
inline Expr<BinaryOp<MulOp<T>, Expr<A,T,D,D2,R1>, SMatrix<T,D,D2,R2>, T>, T, D, D2, typename AddPolicy<T,D,D2,R1,R2>::RepType>
 Times(const Expr<A,T,D,D2,R1>& lhs, const SMatrix<T,D,D2,R2>& rhs) {
  typedef BinaryOp<MulOp<T>, Expr<A,T,D,D2,R1>, SMatrix<T,D,D2,R2>, T> MulOpBinOp;

  return Expr<MulOpBinOp,T,D,D2,typename AddPolicy<T,D,D2,R1,R2>::RepType>(MulOpBinOp(MulOp<T>(),lhs,rhs));
}


//==============================================================================
// Times (SMatrix, binary)
//==============================================================================
template < class A, class T, unsigned int D, unsigned int D2, class R1, class R2>
inline Expr<BinaryOp<MulOp<T>, SMatrix<T,D,D2,R1>, Expr<A,T,D,D2,R2>, T>, T, D, D2, typename AddPolicy<T,D,D2,R1,R2>::RepType>
 Times(const SMatrix<T,D,D2,R1>& lhs, const Expr<A,T,D,D2,R2>& rhs) {
  typedef BinaryOp<MulOp<T>, SMatrix<T,D,D2,R1>, Expr<A,T,D,D2,R2>, T> MulOpBinOp;

  return Expr<MulOpBinOp,T,D,D2,typename AddPolicy<T,D,D2,R1,R2>::RepType>(MulOpBinOp(MulOp<T>(),lhs,rhs));
}


//==============================================================================
// Times (SMatrix, binary)
//==============================================================================
template <class A, class B, class T, unsigned int D, unsigned int D2, class R1, class R2>
inline Expr<BinaryOp<MulOp<T>, Expr<A,T,D,D2,R1>, Expr<B,T,D,D2,R2>, T>, T, D, D2, typename AddPolicy<T,D,D2,R1,R2>::RepType>
 Times(const Expr<A,T,D,D2,R1>& lhs, const Expr<B,T,D,D2,R2>& rhs) {
  typedef BinaryOp<MulOp<T>, Expr<A,T,D,D2,R1>, Expr<B,T,D,D2,R2>, T> MulOpBinOp;

  return Expr<MulOpBinOp,T,D,D2,typename AddPolicy<T,D,D2,R1,R2>::RepType>(MulOpBinOp(MulOp<T>(),lhs,rhs));
}


/**
   Multiplication (element wise) of a matrix and a scalar, B(i,j) = A(i,j) * s
   returning a matrix expression

   @ingroup MatrixFunctions
*/
//=============================================================================
// operator* (SMatrix, binary, Constant)
//=============================================================================
template <class A,  class T, unsigned int D, unsigned int D2, class R>
inline Expr<BinaryOpCopyR<MulOp<T>, SMatrix<T,D,D2,R>, Constant<A>, T>, T, D, D2, R>
 operator*(const SMatrix<T,D,D2,R>& lhs, const A& rhs) {
  typedef BinaryOpCopyR<MulOp<T>, SMatrix<T,D,D2,R>, Constant<A>, T> MulOpBinOp;

  return Expr<MulOpBinOp,T,D,D2,R>(MulOpBinOp(MulOp<T>(),
                                              lhs,Constant<A>(rhs)));
}

/**
   Multiplication (element wise) of a matrix and a scalar, B(i,j) = s * A(i,j) 
   returning a matrix expression

   @ingroup MatrixFunctions
*/
//=============================================================================
// operator* (SMatrix, binary, Constant)
//=============================================================================
template <class A,  class T, unsigned int D, unsigned int D2, class R>
inline Expr<BinaryOpCopyL<MulOp<T>, Constant<A>, SMatrix<T,D,D2,R>, T>, T, D, D2, R>
 operator*(const A& lhs, const SMatrix<T,D,D2,R>& rhs) {
  typedef BinaryOpCopyL<MulOp<T>, Constant<A>, SMatrix<T,D,D2,R>, T> MulOpBinOp;

  return Expr<MulOpBinOp,T,D,D2,R>(MulOpBinOp(MulOp<T>(),
                                              Constant<A>(lhs),rhs));
}


//==============================================================================
// operator* (SMatrix, binary, Constant)
//==============================================================================
template <class A, class B, class T, unsigned int D, unsigned int D2, class R>
inline Expr<BinaryOpCopyR<MulOp<T>, Expr<B,T,D,D2,R>, Constant<A>, T>, T, D, D2, R>
 operator*(const Expr<B,T,D,D2,R>& lhs, const A& rhs) {
  typedef BinaryOpCopyR<MulOp<T>, Expr<B,T,D,D2,R>, Constant<A>, T> MulOpBinOp;

  return Expr<MulOpBinOp,T,D,D2,R>(MulOpBinOp(MulOp<T>(),
                                              lhs,Constant<A>(rhs)));
}

//==============================================================================
// operator* (SMatrix, binary, Constant)
//==============================================================================
template <class A, class B, class T, unsigned int D, unsigned int D2, class R>
inline Expr<BinaryOpCopyL<MulOp<T>, Constant<A>, Expr<B,T,D,D2,R>, T>, T, D, D2, R>
 operator*(const A& lhs, const Expr<B,T,D,D2,R>& rhs) {
  typedef BinaryOpCopyL<MulOp<T>, Constant<A>, Expr<B,T,D,D2,R>, T> MulOpBinOp;

  return Expr<MulOpBinOp,T,D,D2,R>(MulOpBinOp(MulOp<T>(),
                                              Constant<A>(lhs),rhs));
}


//=============================================================================
// DivOp
//=============================================================================
/**
   Division (element-wise) Operation Class

   @ingroup Expression
 */
template <class T>
class DivOp {
public:
  static inline T apply(const T& lhs, const T& rhs) {
    return lhs / rhs;
  }
};

/**
   Element by element division of vectors of the same dimension:   v3(i) = v1(i)/v2(i)
   returning a vector expression

   @ingroup VectFunction
 */
//==============================================================================
// operator/ (SVector, binary)
//==============================================================================
template <  class T, unsigned int D>
inline VecExpr<BinaryOp<DivOp<T>, SVector<T,D>, SVector<T,D>, T>, T, D>
 operator/(const SVector<T,D>& lhs, const SVector<T,D>& rhs) {
  typedef BinaryOp<DivOp<T>, SVector<T,D>, SVector<T,D>, T> DivOpBinOp;

  return VecExpr<DivOpBinOp,T,D>(DivOpBinOp(DivOp<T>(),lhs,rhs));
}


//==============================================================================
// operator/ (SVector, binary)
//==============================================================================
template <class A,  class T, unsigned int D>
inline VecExpr<BinaryOp<DivOp<T>, VecExpr<A,T,D>, SVector<T,D>, T>, T, D>
 operator/(const VecExpr<A,T,D>& lhs, const SVector<T,D>& rhs) {
  typedef BinaryOp<DivOp<T>, VecExpr<A,T,D>, SVector<T,D>, T> DivOpBinOp;  
  return VecExpr<DivOpBinOp,T,D>(DivOpBinOp(DivOp<T>(),lhs,rhs));
}


//==============================================================================
// operator/ (SVector, binary)
//==============================================================================
template < class A, class T, unsigned int D>
inline VecExpr<BinaryOp<DivOp<T>, SVector<T,D>, VecExpr<A,T,D>, T>, T, D>
 operator/(const SVector<T,D>& lhs, const VecExpr<A,T,D>& rhs) {
  typedef BinaryOp<DivOp<T>, SVector<T,D>, VecExpr<A,T,D>, T> DivOpBinOp;

  return VecExpr<DivOpBinOp,T,D>(DivOpBinOp(DivOp<T>(),lhs,rhs));
}


//=============================================================================
// operator/ (SVector, binary)
//=============================================================================
template <class A, class B, class T, unsigned int D>
inline VecExpr<BinaryOp<DivOp<T>, VecExpr<A,T,D>, VecExpr<B,T,D>, T>, T, D>
 operator/(const VecExpr<A,T,D>& lhs, const VecExpr<B,T,D>& rhs) {
  typedef BinaryOp<DivOp<T>, VecExpr<A,T,D>, VecExpr<B,T,D>, T> DivOpBinOp;

  return VecExpr<DivOpBinOp,T,D>(DivOpBinOp(DivOp<T>(),lhs,rhs));
}


/**
   Division of the vector element by a scalar value:  v2(i) = v1(i)/a
   returning a vector expression

   @ingroup VectFunction
*/
//==============================================================================
// operator/ (SVector, binary, Constant)
//==============================================================================
template <class A,  class T, unsigned int D>
inline VecExpr<BinaryOpCopyR<DivOp<T>, SVector<T,D>, Constant<A>, T>, T, D>
 operator/(const SVector<T,D>& lhs, const A& rhs) {
  typedef BinaryOpCopyR<DivOp<T>, SVector<T,D>, Constant<A>, T> DivOpBinOp;

  return VecExpr<DivOpBinOp,T,D>(DivOpBinOp(DivOp<T>(),lhs,Constant<A>(rhs)));
}

/**
   Division of a scalar value by the vector element:  v2(i) = a/v1(i) 
   returning a vector expression

   @ingroup VectFunction
*/
//==============================================================================
// operator/ (SVector, binary, Constant)
//==============================================================================
template <class A,  class T, unsigned int D>
inline VecExpr<BinaryOpCopyL<DivOp<T>, Constant<A>, SVector<T,D>, T>, T, D>
 operator/(const A& lhs, const SVector<T,D>& rhs) {
  typedef BinaryOpCopyL<DivOp<T>, Constant<A>, SVector<T,D>, T> DivOpBinOp;

  return VecExpr<DivOpBinOp,T,D>(DivOpBinOp(DivOp<T>(),Constant<A>(lhs),rhs));
}


//==============================================================================
// operator/ (SVector, binary, Constant)
//==============================================================================
template <class A, class B, class T, unsigned int D>
inline VecExpr<BinaryOpCopyR<DivOp<T>, VecExpr<B,T,D>, Constant<A>, T>, T, D>
 operator/(const VecExpr<B,T,D>& lhs, const A& rhs) {
  typedef BinaryOpCopyR<DivOp<T>, VecExpr<B,T,D>, Constant<A>, T> DivOpBinOp;

  return VecExpr<DivOpBinOp,T,D>(DivOpBinOp(DivOp<T>(),lhs,Constant<A>(rhs)));
}

//==============================================================================
// operator/ (SVector, binary, Constant)
//==============================================================================
template <class A, class B, class T, unsigned int D>
inline VecExpr<BinaryOpCopyL<DivOp<T>, Constant<A>, VecExpr<B,T,D>, T>, T, D>
 operator/(const A& lhs, const VecExpr<B,T,D>& rhs) {
  typedef BinaryOpCopyL<DivOp<T>, Constant<A>, VecExpr<B,T,D>, T> DivOpBinOp;

  return VecExpr<DivOpBinOp,T,D>(DivOpBinOp(DivOp<T>(),Constant<A>(lhs),rhs));
}


/**
   Division (element wise) of two matrices of the same dimensions:  C(i,j) = A(i,j) / B(i,j)
   returning a matrix expression

   @ingroup MatrixFunctions
*/
//==============================================================================
// Div (SMatrix, binary)
//==============================================================================
template <  class T, unsigned int D, unsigned int D2, class R1, class R2>
inline Expr<BinaryOp<DivOp<T>, SMatrix<T,D,D2,R1>, SMatrix<T,D,D2,R2>, T>, T, D, D2, typename AddPolicy<T,D,D2,R1,R2>::RepType>
 Div(const SMatrix<T,D,D2,R1>& lhs, const SMatrix<T,D,D2,R2>& rhs) {
  typedef BinaryOp<DivOp<T>, SMatrix<T,D,D2,R1>, SMatrix<T,D,D2,R2>, T> DivOpBinOp;

  return Expr<DivOpBinOp,T,D,D2,typename AddPolicy<T,D,D2,R1,R2>::RepType>(DivOpBinOp(DivOp<T>(),lhs,rhs));
}


//==============================================================================
// Div (SMatrix, binary)
//==============================================================================
template <class A,  class T, unsigned int D, unsigned int D2, class R1, class R2>
inline Expr<BinaryOp<DivOp<T>, Expr<A,T,D,D2,R1>, SMatrix<T,D,D2,R2>, T>, T, D, D2, typename AddPolicy<T,D,D2,R1,R2>::RepType>
 Div(const Expr<A,T,D,D2,R1>& lhs, const SMatrix<T,D,D2,R2>& rhs) {
  typedef BinaryOp<DivOp<T>, Expr<A,T,D,D2,R1>, SMatrix<T,D,D2,R2>, T> DivOpBinOp;

  return Expr<DivOpBinOp,T,D,D2,typename AddPolicy<T,D,D2,R1,R2>::RepType>(DivOpBinOp(DivOp<T>(),lhs,rhs));
}


//==============================================================================
// Div (SMatrix, binary)
//==============================================================================
template < class A, class T, unsigned int D, unsigned int D2, class R1, class R2>
inline Expr<BinaryOp<DivOp<T>, SMatrix<T,D,D2,R1>, Expr<A,T,D,D2,R2>, T>, T, D, D2, typename AddPolicy<T,D,D2,R1,R2>::RepType>
 Div(const SMatrix<T,D,D2,R1>& lhs, const Expr<A,T,D,D2,R2>& rhs) {
  typedef BinaryOp<DivOp<T>, SMatrix<T,D,D2,R1>, Expr<A,T,D,D2,R2>, T> DivOpBinOp;

  return Expr<DivOpBinOp,T,D,D2,typename AddPolicy<T,D,D2,R1,R2>::RepType>(DivOpBinOp(DivOp<T>(),lhs,rhs));
}


//==============================================================================
// Div (SMatrix, binary)
//==============================================================================
template <class A, class B, class T, unsigned int D, unsigned int D2, class R1, class R2>
inline Expr<BinaryOp<DivOp<T>, Expr<A,T,D,D2,R1>, Expr<B,T,D,D2,R2>, T>, T, D, D2,typename AddPolicy<T,D,D2,R1,R2>::RepType>
 Div(const Expr<A,T,D,D2,R1>& lhs, const Expr<B,T,D,D2,R2>& rhs) {
  typedef BinaryOp<DivOp<T>, Expr<A,T,D,D2,R1>, Expr<B,T,D,D2,R2>, T> DivOpBinOp;

  return Expr<DivOpBinOp,T,D,D2,typename AddPolicy<T,D,D2,R1,R2>::RepType>(DivOpBinOp(DivOp<T>(),lhs,rhs));
}


/**
   Division (element wise) of a matrix and a scalar, B(i,j) = A(i,j) / s
   returning a matrix expression

   @ingroup MatrixFunctions
*/
//=============================================================================
// operator/ (SMatrix, binary, Constant)
//=============================================================================
template <class A,  class T, unsigned int D, unsigned int D2, class R>
inline Expr<BinaryOpCopyR<DivOp<T>, SMatrix<T,D,D2,R>, Constant<A>, T>, T, D, D2, R>
 operator/(const SMatrix<T,D,D2,R>& lhs, const A& rhs) {
  typedef BinaryOpCopyR<DivOp<T>, SMatrix<T,D,D2,R>, Constant<A>, T> DivOpBinOp;

  return Expr<DivOpBinOp,T,D,D2,R>(DivOpBinOp(DivOp<T>(),
                                              lhs,Constant<A>(rhs)));
}

/**
   Division (element wise) of a matrix and a scalar, B(i,j) = s / A(i,j) 
   returning a matrix expression

   @ingroup MatrixFunctions
*/
//==============================================================================
// operator/ (SMatrix, binary, Constant)
//==============================================================================
template <class A,  class T, unsigned int D, unsigned int D2, class R>
inline Expr<BinaryOpCopyL<DivOp<T>, Constant<A>, SMatrix<T,D,D2,R>, T>, T, D, D2, R>
 operator/(const A& lhs, const SMatrix<T,D,D2,R>& rhs) {
  typedef BinaryOpCopyL<DivOp<T>, Constant<A>, SMatrix<T,D,D2,R>, T> DivOpBinOp;

  return Expr<DivOpBinOp,T,D,D2,R>(DivOpBinOp(DivOp<T>(),
                                              Constant<A>(lhs),rhs));
}


//==============================================================================
// operator/ (SMatrix, binary, Constant)
//==============================================================================
template <class A, class B, class T, unsigned int D, unsigned int D2, class R>
inline Expr<BinaryOpCopyR<DivOp<T>, Expr<B,T,D,D2,R>, Constant<A>, T>, T, D, D2, R>
 operator/(const Expr<B,T,D,D2,R>& lhs, const A& rhs) {
  typedef BinaryOpCopyR<DivOp<T>, Expr<B,T,D,D2,R>, Constant<A>, T> DivOpBinOp;

  return Expr<DivOpBinOp,T,D,D2,R>(DivOpBinOp(DivOp<T>(),
                                              lhs,Constant<A>(rhs)));
}

//==============================================================================
// operator/ (SMatrix, binary, Constant)
//==============================================================================
template <class A, class B, class T, unsigned int D, unsigned int D2, class R>
inline Expr<BinaryOpCopyL<DivOp<T>, Constant<A>, Expr<B,T,D,D2,R>, T>, T, D, D2,R>
 operator/(const A& lhs, const Expr<B,T,D,D2,R>& rhs) {
  typedef BinaryOpCopyL<DivOp<T>, Constant<A>, Expr<B,T,D,D2,R>, T> DivOpBinOp;

  return Expr<DivOpBinOp,T,D,D2,R>(DivOpBinOp(DivOp<T>(),Constant<A>(lhs),rhs));
}



  }  // namespace Math

}  // namespace ROOT
          

#endif  /*ROOT_Math_BinaryOperators */