// @(#)root/smatrix:$Name:  $:$Id: SVector.h,v 1.13 2006/07/03 14:30:45 moneta Exp $
// Authors: T. Glebe, L. Moneta    2005  

#ifndef ROOT_Math_SVector
#define ROOT_Math_SVector
// ********************************************************************
//
// source:
//
// type:      source code
//
// created:   16. Mar 2001
//
// author:    Thorsten Glebe
//            HERA-B Collaboration
//            Max-Planck-Institut fuer Kernphysik
//            Saupfercheckweg 1
//            69117 Heidelberg
//            Germany
//            E-mail: T.Glebe@mpi-hd.mpg.de
//
// Description: A fixed size Vector class
//
// changes:
// 16 Mar 2001 (TG) creation
// 21 Mar 2001 (TG) SVector::value_type added
// 21 Mar 2001 (TG) added operators +=, -=, *=, /=
// 26 Mar 2001 (TG) added place_at()
// 03 Apr 2001 (TG) Array() added
// 06 Apr 2001 (TG) CTORS added
// 07 Apr 2001 (TG) CTORS added
// 22 Aug 2001 (TG) CTOR(T*,len) added
// 04 Sep 2001 (TG) moved inlined functions to .icc file
// 14 Jan 2002 (TG) added operator==(), operator!=(), operator>(), operator<()
//
// ********************************************************************

#ifndef ROOT_Math_MnConfig
#include "Math/MConfig.h"
#endif

#include <iosfwd>

// expression engine

#ifndef ROOT_Math_Expression
#include "Math/Expression.h"
#endif




namespace ROOT { 

namespace Math { 

//     template <class T, unsigned int D, unsigned int D2> class MatRepStd;

//     template <class A, class T, unsigned int D, unsigned int D2 = 1, class R = MatRepStd<T,D,D2> > class Expr;


/** 
    SVector: a generic fixed size Vector class.
    The class is template on the scalar type and on the vector size D. 
    See \ref SVectorDoc


    @ingroup SMatrix

    @authors T. Glebe, L. Moneta and J. Palacios

*/
//==============================================================================
// SVector
//==============================================================================
template <class T, unsigned int D>
class SVector {
public:
   /** @name --- Typedefs --- */
   /// contained scalar type
   typedef T  value_type;
   
   /** STL iterator interface. */
   typedef T*  iterator;
   
   /** STL const_iterator interface. */
   typedef const T*  const_iterator;
   
   
   /** @name --- Constructors --- */
   /**
      Default constructor: vector filled with zero values 
    */
   SVector();
   /// contruct from a vector expression
   template <class A>
   SVector(const VecExpr<A,T,D>& rhs);
   /// copy contructor
   SVector(const SVector<T,D>& rhs);
      
   // new constructs using STL iterator interface
   // skip - need to solve the ambiguities 
#ifdef LATER
   /**
       Constructor with STL iterator interface. The data will be copied into the vector
       The iterator size must be equal to the vector size
    */
   template<class InputIterator>
   explicit SVector(InputIterator begin, InputIterator end); 
   
   /**
      Constructor with STL iterator interface. The data will be copied into the vector
      The size must be <= vector size
    */
   template<class InputIterator>
   explicit SVector(InputIterator begin, unsigned int size); 
   
#else 
   // if you use iterator this is not necessary
   
   /// fill from array with len must be equal to D!
   SVector( const T *  a, unsigned int len);
   
   /** fill from a SVector iterator of type T*   
      (for ambiguities iterator cannot be generic )
   */
   SVector(const_iterator begin, const_iterator end);
   
#endif
   /// construct setting all elements to the passed scalar value
   explicit SVector(const T& a1);
   /// construct a vector of size >=2 from 2 scalar values 
   SVector(const T& a1, const T& a2);
   /// construct a vector of size >=3 from 3 scalar values 
   SVector(const T& a1, const T& a2, const T& a3);
   /// construct a vector of size >=4 from 4 scalar values  
   SVector(const T& a1, const T& a2, const T& a3, const T& a4);
   /// construct a vector of size >=5 from 5 scalar values  
   SVector(const T& a1, const T& a2, const T& a3, const T& a4,
           const T& a5);
   /// construct a vector of size >=6 from 6 scalar values  
   SVector(const T& a1, const T& a2, const T& a3, const T& a4,
           const T& a5, const T& a6);
   /// construct a vector of size >=7 from 7 scalar values  
   SVector(const T& a1, const T& a2, const T& a3, const T& a4,
           const T& a5, const T& a6, const T& a7);
   /// construct a vector of size >=8 from 8 scalar values  
   SVector(const T& a1, const T& a2, const T& a3, const T& a4,
           const T& a5, const T& a6, const T& a7, const T& a8);
   /// construct a vector of size >=9 from 9 scalar values  
   SVector(const T& a1, const T& a2, const T& a3, const T& a4,
           const T& a5, const T& a6, const T& a7, const T& a8,
           const T& a9);
   /// construct a vector of size >=10 from 10 scalar values  
   SVector(const T& a1, const T& a2, const T& a3, const T& a4,
           const T& a5, const T& a6, const T& a7, const T& a8,
           const T& a9, const T& a10);
   
   
   
   /// assignment from a scalar (for size 1 vector)
   SVector<T,D>& operator=(const T& a1);
   /// assignment  from Vector Expression
   template <class A>
   SVector<T,D>& operator=(const VecExpr<A,T,D>& rhs);
   
   /** @name --- Access functions --- */
   
   /**
      Enumeration defining the Vector size
    */
   enum {
      /// return vector size
      kSize = D
   };
   
   
   /// return dimension $D$
   inline static unsigned int Dim() { return D; }
   /// access the parse tree. Index starts from zero
   T apply(unsigned int i) const;
   /// return read-only pointer to internal array
   const T* Array() const;
   /// return non-const pointer to internal array
   T* Array();
   
   /** @name --- STL-like interface --- */
   
   
   /** STL iterator interface. */
   iterator begin();
   
   /** STL iterator interface. */
   iterator end();
   
   /** STL const_iterator interface. */
   const_iterator begin() const;
   
   /** STL const_iterator interface. */
   const_iterator end() const;

   /// set vector elements copying the values 
   /// iterator size must match vector size
   template<class InputIterator>
   void SetElements(InputIterator begin, InputIterator end); 

   /// set vector elements copying the values 
   /// size must be <= vector size
   template<class InputIterator>
   void SetElements(InputIterator begin, unsigned int size); 
   
   
   /** @name --- Operators --- */
   
   /// element wise comparison
   bool operator==(const T& rhs) const;
   /// element wise comparison
   bool operator!=(const T& rhs) const;
   /// element wise comparison
   bool operator==(const SVector<T,D>& rhs) const;
   /// element wise comparison
   bool operator!=(const SVector<T,D>& rhs) const;
   /// element wise comparison
   template <class A>
   bool operator==(const VecExpr<A,T,D>& rhs) const;
   /// element wise comparison
   template <class A>
   bool operator!=(const VecExpr<A,T,D>& rhs) const;
   
   /// element wise comparison
   bool operator>(const T& rhs) const;
   /// element wise comparison
   bool operator<(const T& rhs) const;
   /// element wise comparison
   bool operator>(const SVector<T,D>& rhs) const;
   /// element wise comparison
   bool operator<(const SVector<T,D>& rhs) const;
   /// element wise comparison
   template <class A>
   bool operator>(const VecExpr<A,T,D>& rhs) const;
   /// element wise comparison
   template <class A>
   bool operator<(const VecExpr<A,T,D>& rhs) const;
   
   /// read-only access of vector elements. Index starts from 0. 
   const T& operator[](unsigned int i) const;
   /// read-only access of vector elements. Index starts from 0. 
   const T& operator()(unsigned int i) const;
   /// read/write access of vector elements. Index starts from 0. 
   T& operator[](unsigned int i);
   /// read/write access of vector elements. Index starts from 0. 
   T& operator()(unsigned int i);
   
   /// self addition with a scalar
   SVector<T,D>& operator+=(const T& rhs);
   /// self subtraction with a scalar
   SVector<T,D>& operator-=(const T& rhs);
   /// self multiplication with a scalar 
   SVector<T,D>& operator*=(const T& rhs);
   /// self division with a scalar
   SVector<T,D>& operator/=(const T& rhs);


   /// self addition with another vector
   SVector<T,D>& operator+=(const SVector<T,D>& rhs);
   /// self subtraction with another vector
   SVector<T,D>& operator-=(const SVector<T,D>& rhs);
   /// self addition with a vector expression
   template <class A>
   SVector<T,D>& operator+=(const VecExpr<A,T,D>& rhs);
   /// self subtraction with a vector expression
   template <class A>
   SVector<T,D>& operator-=(const VecExpr<A,T,D>& rhs);


#ifdef OLD_IMPL
#ifndef __CINT__
   /// self element-wise multiplication  with another vector 
   SVector<T,D>& operator*=(const SVector<T,D>& rhs);
   /// self element-wise division with another vector 
   SVector<T,D>& operator/=(const SVector<T,D>& rhs);
      
   /// self element-wise multiplication  with a vector expression
   template <class A>
   SVector<T,D>& operator*=(const VecExpr<A,T,D>& rhs);
   /// self element-wise division  with a vector expression
   template <class A>
   SVector<T,D>& operator/=(const VecExpr<A,T,D>& rhs);
   
#endif
#endif
   
   /** @name --- Expert functions --- */
   /// transform vector into a vector of lenght 1
   SVector<T,D>& Unit();
   /// place a sub-vector starting from the given position
   template <unsigned int D2>
   SVector<T,D>& Place_at(const SVector<T,D2>& rhs, unsigned int row);
   /// place a sub-vector expression starting from the given position
   template <class A, unsigned int D2>
   SVector<T,D>& Place_at(const VecExpr<A,T,D2>& rhs, unsigned int row);
   
   /**
      return a subvector of size N starting at the value row
    where N is the size of the returned vector (SubVector::kSize)
    Condition  row+N <= D
    */ 
   template <class SubVector >  
   SubVector Sub(unsigned int row) const;
   
   
   /// used by operator<<()
   std::ostream& Print(std::ostream& os) const;
   
private:
      
   /** @name --- Data member --- */
      
   /// SVector data
   T fArray[D];
}; // end of class SVector


//==============================================================================
// operator<<
//==============================================================================
template <class T, unsigned int D>
std::ostream& operator<<(std::ostream& os, const ROOT::Math::SVector<T,D>& rhs);



}  // namespace Math

}  // namespace ROOT



#ifndef __CINT__

// include implementation file
#ifndef ROOT_Math_SVector_icc
#include "Math/SVector.icc"
#endif

// include operators and functions
#ifndef ROOT_Math_UnaryOperators
#include "Math/UnaryOperators.h"
#endif
#ifndef ROOT_Math_BinaryOperators
#include "Math/BinaryOperators.h"
#endif
#ifndef ROOT_Math_MatrixFunctions
#include "Math/Functions.h"
#endif

#endif // __CINT__


#endif  /* ROOT_Math_SVector  */