SVector.icc

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// @(#)root/smatrix:$Id$
// Authors: T. Glebe, L. Moneta    2005
 
#ifndef ROOT_Math_SVector_icc
#define ROOT_Math_SVector_icc
// ********************************************************************
//
// source:
//
// type:      source code
//
// created:   21. 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:
// 21 Mar 2001 (TG) creation
// 26 Mar 2001 (TG) added place_at()
// 06 Apr 2001 (TG) CTORS added
// 07 Apr 2001 (TG) CTORS added
// 22 Aug 2001 (TG) CTOR(T*,len) added
// 14 Jan 2002 (TG) added operator==(), operator!=(), operator>(), operator<()
//
// ********************************************************************
 
#ifndef ROOT_Math_SVector
#error "Do not use SVector.icc directly. #include \"Math/SVector.h\" instead."
#endif // ROOT_Math_SVector
 
#include <iostream>
#include <cassert>
#include <algorithm>
 
#include "Math/StaticCheck.h"
 
namespace ROOT {
 
namespace Math {
 
 
//==============================================================================
// Constructors
//==============================================================================
template <class T, unsigned int D>
SVector<T,D>::SVector() {
   for(unsigned int i=0; i<D; ++i)
      fArray[i] = 0;
}
 
template <class T, unsigned int D>
template <class A>
SVector<T,D>::SVector(const VecExpr<A,T,D>& rhs) {
   operator=(rhs);
}
 
template <class T, unsigned int D>
SVector<T,D>::SVector(const SVector<T,D>& rhs) {
   for(unsigned int i=0; i<D; ++i)
      fArray[i] = rhs.fArray[i];
}
 
 
 
//==============================================================================
// New Constructors from STL interfaces
//==============================================================================
 
#ifdef LATER
template <class T, unsigned int D>
template <class InputIterator>
SVector<T,D>::SVector(InputIterator begin, InputIterator end) {
   assert(begin + D == end);
   std::copy(begin, end, fArray);
}
 
template <class T, unsigned int D>
template <class InputIterator>
SVector<T,D>::SVector(InputIterator begin, unsigned int size) {
   assert( size <= D);
   std::copy(begin, begin+size, fArray);
}
 
#else
 
template <class T, unsigned int D>
SVector<T,D>::SVector(const T* a, unsigned int len) {
   (void)len;
   assert(len == D);
   for(unsigned int i=0; i<D; ++i)
      fArray[i] = a[i];
}
 
template <class T, unsigned int D>
SVector<T,D>::SVector(const_iterator ibegin, const_iterator iend) {
   assert(ibegin + D == iend);
   std::copy(ibegin, iend, fArray);
}
 
 
#endif
 
 
template <class T, unsigned int D>
SVector<T,D>::SVector(const T& a1) {
   STATIC_CHECK( D == 1,SVector_dimension_not_right);
   fArray[0] = a1;
}
 
template <class T, unsigned int D>
SVector<T,D>::SVector(const T& a1, const T& a2) {
   STATIC_CHECK( D == 2,SVector_dimension_not_right);
   fArray[0] = a1; fArray[1] = a2;
}
 
template <class T, unsigned int D>
SVector<T,D>::SVector(const T& a1, const T& a2, const T& a3) {
   STATIC_CHECK( D == 3,SVector_dimension_not_right);
   fArray[0] = a1; fArray[1] = a2; fArray[2] = a3;
}
 
template <class T, unsigned int D>
SVector<T,D>::SVector(const T& a1, const T& a2, const T& a3, const T& a4) {
   STATIC_CHECK( D == 4,SVector_dimension_not_right);
   fArray[0] = a1; fArray[1] = a2; fArray[2] = a3; fArray[3] = a4;
}
 
template <class T, unsigned int D>
SVector<T,D>::SVector(const T& a1, const T& a2, const T& a3, const T& a4,
                      const T& a5) {
   STATIC_CHECK( D == 5,SVector_dimension_not_right);
   fArray[0] = a1; fArray[1] = a2; fArray[2] = a3; fArray[3] = a4;
   fArray[4] = a5;
}
 
template <class T, unsigned int D>
SVector<T,D>::SVector(const T& a1, const T& a2, const T& a3, const T& a4,
                      const T& a5, const T& a6) {
   STATIC_CHECK( D == 6,SVector_dimension_not_right);
   fArray[0] = a1; fArray[1] = a2; fArray[2] = a3; fArray[3] = a4;
   fArray[4] = a5; fArray[5] = a6;
}
 
template <class T, unsigned int D>
SVector<T,D>::SVector(const T& a1, const T& a2, const T& a3, const T& a4,
                      const T& a5, const T& a6, const T& a7) {
   STATIC_CHECK( D == 7,SVector_dimension_not_right);
   fArray[0] = a1; fArray[1] = a2; fArray[2] = a3; fArray[3] = a4;
   fArray[4] = a5; fArray[5] = a6; fArray[6] = a7;
}
 
template <class T, unsigned int D>
SVector<T,D>::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) {
   STATIC_CHECK( D == 8,SVector_dimension_not_right);
   fArray[0] = a1; fArray[1] = a2; fArray[2] = a3; fArray[3] = a4;
   fArray[4] = a5; fArray[5] = a6; fArray[6] = a7; fArray[7] = a8;
}
 
template <class T, unsigned int D>
SVector<T,D>::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) {
   STATIC_CHECK( D == 9,SVector_dimension_not_right);
   fArray[0] = a1; fArray[1] = a2; fArray[2] = a3; fArray[3] = a4;
   fArray[4] = a5; fArray[5] = a6; fArray[6] = a7; fArray[7] = a8;
   fArray[8] = a9;
}
 
template <class T, unsigned int D>
SVector<T,D>::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) {
   STATIC_CHECK( D == 10,SVector_dimension_not_right);
   fArray[0] = a1; fArray[1] = a2; fArray[2] = a3; fArray[3] = a4;
   fArray[4] = a5; fArray[5] = a6; fArray[6] = a7; fArray[7] = a8;
   fArray[8] = a9; fArray[9] = a10;
}
 
//==============================================================================
// operator=
//==============================================================================
template <class T, unsigned int D>
SVector<T,D>& SVector<T,D>::operator=(const T& a1) {
   // operator = for size 1 vectors
   STATIC_CHECK( D == 1,SVector_dimension_not_right);
   fArray[0] = a1;
   return *this;
}
 
template <class T, unsigned int D>
SVector<T,D>& SVector<T,D>::operator=(const SVector<T,D>& rhs) {
   for(unsigned int i=0; i<D; ++i)
      fArray[i] = rhs.fArray[i];
   return *this;
}
 
template <class T, unsigned int D>
template <class A>
SVector<T,D>& SVector<T,D>::operator=(const VecExpr<A,T,D>& rhs) {
   if (! rhs.IsInUse(fArray) ) {
      for(unsigned int i=0; i<D; ++i) {
         fArray[i] = rhs.apply(i);
      }
   }
   else {
      // otherwise we need to create a temporary object
      T tmp[D];
      for(unsigned int i=0; i<D; ++i) {
         tmp[i] = rhs.apply(i);
      }
      for(unsigned int i=0; i<D; ++i) {
         fArray[i] = tmp[i];
      }
   }
   return *this;
}
 
//==============================================================================
// operator==
//==============================================================================
template <class T, unsigned int D>
bool SVector<T,D>::operator==(const T& rhs) const {
   bool rc = true;
   for(unsigned int i=0; i<D; ++i) {
      rc = rc && (fArray[i] == rhs);
   }
   return rc;
}
 
template <class T, unsigned int D>
bool SVector<T,D>::operator==(const SVector<T,D>& rhs) const {
   bool rc = true;
   for(unsigned int i=0; i<D; ++i) {
      rc = rc && (fArray[i] == rhs.apply(i));
   }
   return rc;
}
 
template <class T, unsigned int D>
template <class A>
bool SVector<T,D>::operator==(const VecExpr<A,T,D>& rhs) const {
   bool rc = true;
   for(unsigned int i=0; i<D; ++i) {
      rc = rc && (fArray[i] == rhs.apply(i));
   }
   return rc;
}
 
//==============================================================================
// operator!=
//==============================================================================
template <class T, unsigned int D>
inline bool SVector<T,D>::operator!=(const T& rhs) const {
   return !operator==(rhs);
}
 
template <class T, unsigned int D>
inline bool SVector<T,D>::operator!=(const SVector<T,D>& rhs) const {
   return !operator==(rhs);
}
 
template <class T, unsigned int D>
template <class A>
inline bool SVector<T,D>::operator!=(const VecExpr<A,T,D>& rhs) const {
   return !operator==(rhs);
}
 
//==============================================================================
// operator>
//==============================================================================
template <class T, unsigned int D>
bool SVector<T,D>::operator>(const T& rhs) const {
   bool rc = true;
   for(unsigned int i=0; i<D; ++i) {
      rc = rc && (fArray[i] > rhs);
   }
   return rc;
}
 
template <class T, unsigned int D>
bool SVector<T,D>::operator>(const SVector<T,D>& rhs) const {
   bool rc = true;
   for(unsigned int i=0; i<D; ++i) {
      rc = rc && (fArray[i] > rhs.apply(i));
   }
   return rc;
}
 
template <class T, unsigned int D>
template <class A>
bool SVector<T,D>::operator>(const VecExpr<A,T,D>& rhs) const {
   bool rc = true;
   for(unsigned int i=0; i<D; ++i) {
      rc = rc && (fArray[i] > rhs.apply(i));
   }
   return rc;
}
 
//==============================================================================
// operator<
//==============================================================================
template <class T, unsigned int D>
bool SVector<T,D>::operator<(const T& rhs) const {
   bool rc = true;
   for(unsigned int i=0; i<D; ++i) {
      rc = rc && (fArray[i] < rhs);
   }
   return rc;
}
 
template <class T, unsigned int D>
bool SVector<T,D>::operator<(const SVector<T,D>& rhs) const {
   bool rc = true;
   for(unsigned int i=0; i<D; ++i) {
      rc = rc && (fArray[i] < rhs.apply(i));
   }
   return rc;
}
 
template <class T, unsigned int D>
template <class A>
bool SVector<T,D>::operator<(const VecExpr<A,T,D>& rhs) const {
   bool rc = true;
   for(unsigned int i=0; i<D; ++i) {
      rc = rc && (fArray[i] < rhs.apply(i));
   }
   return rc;
}
 
//==============================================================================
// operator+=
//==============================================================================
#ifdef NEW_IMPL
template <class T, unsigned int D>
template<class A>
SVector<T,D>& SVector<T,D>::operator+=(const  A& rhs) {
   return operator=(*this + rhs);
}
 
template <class T, unsigned int D>
template<class A>
SVector<T,D>& SVector<T,D>::operator-=(const  A& rhs) {
   // self subtraction
   return operator=(*this - rhs);
}
 
template <class T, unsigned int D>
template<class A>
SVector<T,D>& SVector<T,D>::operator*=(const  A& rhs) {
   // self multiplication
   return operator=(*this * rhs);
}
 
template <class T, unsigned int D>
template<class A>
SVector<T,D>& SVector<T,D>::operator/=(const  A& rhs) {
   // self division
   return operator=(*this / rhs);
}
#endif
 
template <class T, unsigned int D>
SVector<T,D>& SVector<T,D>::operator+=(const  T& rhs) {
   for(unsigned int i=0; i<D; ++i) {
      fArray[i] += rhs;
   }
   return *this;
}
 
template <class T, unsigned int D>
SVector<T,D>& SVector<T,D>::operator+=(const  SVector<T,D>& rhs) {
   for(unsigned int i=0; i<D; ++i) {
      fArray[i] += rhs.apply(i);
   }
   return *this;
}
 
 
template <class T, unsigned int D>
template <class A>
SVector<T,D>& SVector<T,D>::operator+=(const VecExpr<A,T,D>& rhs) {
   for(unsigned int i=0; i<D; ++i) {
      fArray[i] += rhs.apply(i);
   }
   return *this;
}
 
//==============================================================================
// operator-=
//==============================================================================
template <class T, unsigned int D>
SVector<T,D>& SVector<T,D>::operator-=(const  T& rhs) {
   for(unsigned int i=0; i<D; ++i) {
      fArray[i] -= rhs;
   }
   return *this;
}
 
template <class T, unsigned int D>
SVector<T,D>& SVector<T,D>::operator-=(const SVector<T,D>& rhs) {
   for(unsigned int i=0; i<D; ++i) {
      fArray[i] -= rhs.apply(i);
   }
   return *this;
}
 
template <class T, unsigned int D>
template <class A>
SVector<T,D>& SVector<T,D>::operator-=(const VecExpr<A,T,D>& rhs) {
   for(unsigned int i=0; i<D; ++i) {
      fArray[i] -= rhs.apply(i);
   }
   return *this;
}
 
//==============================================================================
// operator*= (only scalar values)
//==============================================================================
template <class T, unsigned int D>
SVector<T,D>& SVector<T,D>::operator*=(const T& rhs) {
   for(unsigned int i=0; i<D; ++i) {
      fArray[i] *= rhs;
   }
   return *this;
}
#ifdef OLD_IMPL
template <class T, unsigned int D>
template <class A>
SVector<T,D>& SVector<T,D>::operator*=(const VecExpr<A,T,D>& rhs) {
   for(unsigned int i=0; i<D; ++i) {
      fArray[i] *= rhs.apply(i);
   }
   return *this;
}
 
//==============================================================================
// operator/=
//==============================================================================
template <class T, unsigned int D>
SVector<T,D>& SVector<T,D>::operator/=(const SVector<T,D>& rhs) {
   for(unsigned int i=0; i<D; ++i) {
      fArray[i] /= rhs.apply(i);
   }
   return *this;
}
 
template <class T, unsigned int D>
template <class A>
SVector<T,D>& SVector<T,D>::operator/=(const VecExpr<A,T,D>& rhs) {
   for(unsigned int i=0; i<D; ++i) {
      fArray[i] /= rhs.apply(i);
   }
   return *this;
}
#endif
template <class T, unsigned int D>
SVector<T,D>& SVector<T,D>::operator/=(const T& rhs) {
   for(unsigned int i=0; i<D; ++i) {
      fArray[i] /= rhs;
   }
   return *this;
}
 
 
//==============================================================================
// unit
//==============================================================================
template <class T, unsigned int D>
SVector<T,D>& SVector<T,D>::Unit() {
   const T len = Mag(*this);
   for(unsigned int i=0; i<D; ++i) {
      fArray[i] /= len;
   }
   return *this;
}
 
//==============================================================================
// place_at
//==============================================================================
template <class T, unsigned int D>
template <unsigned int D2>
SVector<T,D>& SVector<T,D>::Place_at(const SVector<T,D2>& rhs, unsigned int row) {
 
   assert(row+D2 <= D);
   //  Sassert(end <= D);
 
   for(unsigned int i=row, j=0; j<D2; ++i,++j)
      fArray[i] = rhs.apply(j);
 
   return *this;
}
 
 
//==============================================================================
// place_at
//==============================================================================
template <class T, unsigned int D>
template <class A, unsigned int D2>
SVector<T,D>& SVector<T,D>::Place_at(const VecExpr<A,T,D2>& rhs, unsigned int row) {
 
   assert(row+D2 <= D);
 
   for(unsigned int i=row, j=0; j<D2; ++i,++j)
      fArray[i] = rhs.apply(j);
 
   return *this;
}
 
//==============================================================================
// print
//==============================================================================
template <class T, unsigned int D>
std::ostream& SVector<T,D>::Print(std::ostream& os) const {
   const std::ios_base::fmtflags prevFmt = os.setf(std::ios::right,std::ios::adjustfield);
   //  os.setf(ios::fixed);
 
   for (unsigned int i = 0; i < D; ++i ) {
      os << fArray[i];
      if (i != D-1) os << ", ";
   }
   if (prevFmt != os.flags() ) os.setf(prevFmt, std::ios::adjustfield);
   return os;
}
 
//==============================================================================
// Access functions
//==============================================================================
template <class T, unsigned int D>
inline T SVector<T,D>::apply(unsigned int i) const { return fArray[i]; }
 
template <class T, unsigned int D>
inline const T* SVector<T,D>::Array() const { return fArray; }
 
template <class T, unsigned int D>
inline T* SVector<T,D>::Array() { return fArray; }
 
 
//==============================================================================
// STL interface
//==============================================================================
template <class T, unsigned int D>
inline T* SVector<T,D>::begin() { return fArray; }
 
template <class T, unsigned int D>
inline const T* SVector<T,D>::begin() const { return fArray; }
 
template <class T, unsigned int D>
inline T* SVector<T,D>::end() { return fArray + Dim(); }
 
template <class T, unsigned int D>
inline const T* SVector<T,D>::end() const { return fArray + Dim(); }
 
template <class T, unsigned int D>
template <class InputIterator>
void SVector<T,D>::SetElements(InputIterator ibegin, InputIterator iend) {
   // iterator size must match vector size
   assert( ibegin + D == iend);
   std::copy(ibegin, iend, fArray);
}
 
template <class T, unsigned int D>
template <class InputIterator>
void SVector<T,D>::SetElements(InputIterator ibegin, unsigned int size) {
   // size <= vector size
   assert( size <= D);
   std::copy(ibegin, ibegin+size, fArray);
}
 
 
//==============================================================================
// Operators
//==============================================================================
template <class T, unsigned int D>
inline const T& SVector<T,D>::operator[](unsigned int i) const { return fArray[i]; }
 
template <class T, unsigned int D>
inline const T& SVector<T,D>::operator()(unsigned int i) const { return fArray[i]; }
 
template <class T, unsigned int D>
inline T& SVector<T,D>::operator[](unsigned int i) { return fArray[i]; }
 
template <class T, unsigned int D>
inline T& SVector<T,D>::operator()(unsigned int i) { return fArray[i]; }
//==============================================================================
// Element access with At()
//==============================================================================
template <class T, unsigned int D>
inline const T& SVector<T,D>::At(unsigned int i) const {
   assert(i < D);
   return fArray[i];
}
 
template <class T, unsigned int D>
inline T& SVector<T,D>::At(unsigned int i) {
   assert(i < D);
   return fArray[i];
}
 
//==============================================================================
// SubVector
//==============================================================================
template <class T, unsigned int D>
template <class SubVector>
SubVector SVector<T,D>::Sub(unsigned int row) const {
 
   STATIC_CHECK( SubVector::kSize <= D,SVector_dimension_too_small);
 
   assert(row + SubVector::kSize <= D);
 
   SubVector tmp;
   // need to use std::copy ??
   for(unsigned int i=0; i < SubVector::kSize; ++i) {
      tmp[i] = fArray[i+row];
   }
   return tmp;
}
 
// check if the given passed pointer is the same contained in the vector
template <class T, unsigned int D>
bool SVector<T,D>::IsInUse( const T * p) const {
   return p == fArray;
}
 
 
//==============================================================================
// operator<<
//==============================================================================
template <class T, unsigned int D>
inline std::ostream& operator<<(std::ostream& os, const SVector<T,D>& rhs) {
   return rhs.Print(os);
}
 
 
 
 
}  // namespace Math
 
}  // namespace ROOT
 
 
#endif