// @(#)root/minuit2:$Id$
// Authors: M. Winkler, F. James, L. Moneta, A. Zsenei   2003-2005  

/**********************************************************************
 *                                                                    *
 * Copyright (c) 2005 LCG ROOT Math team,  CERN/PH-SFT                *
 *                                                                    *
 **********************************************************************/

#ifndef ROOT_Minuit2_LASymMatrix
#define ROOT_Minuit2_LASymMatrix

#include "Minuit2/MnConfig.h"
#include "Minuit2/ABSum.h"
#include "Minuit2/VectorOuterProduct.h"
#include "Minuit2/MatrixInverse.h"

#include <cassert>
#include <memory>


// #include <iostream>

#include "Minuit2/StackAllocator.h"
//extern StackAllocator StackAllocatorHolder::Get();

// for memcopy
#include <string.h>

namespace ROOT {

   namespace Minuit2 {


int Mndaxpy(unsigned int, double, const double*, int, double*, int);
int Mndscal(unsigned int, double, double*, int);

class LAVector;

int Invert ( LASymMatrix & );

/**
   Class describing a symmetric matrix of size n.  
   The size is specified as a run-time argument passed in the 
   constructor. 
   The class uses expression templates for the operations and functions. 
   Only the independent data are kept in the fdata array of size n*(n+1)/2
   containing the lower triangular data   
 */

class LASymMatrix {

private:

  LASymMatrix() : fSize(0), fNRow(0), fData(0) {}

public:

  typedef sym Type;

  LASymMatrix(unsigned int n) : fSize(n*(n+1)/2), fNRow(n), fData((double*)StackAllocatorHolder::Get().Allocate(sizeof(double)*n*(n+1)/2)) {
//     assert(fSize>0);
    memset(fData, 0, fSize*sizeof(double));
//     std::cout<<"LASymMatrix(unsigned int n), n= "<<n<<std::endl;
  }

  ~LASymMatrix() {
//     std::cout<<"~LASymMatrix()"<<std::endl;
//     if(fData) std::cout<<"deleting "<<fSize<<std::endl;
//     else std::cout<<"no delete"<<std::endl;
//     if(fData) delete [] fData;
    if(fData) StackAllocatorHolder::Get().Deallocate(fData);
  }

  LASymMatrix(const LASymMatrix& v) : 
    fSize(v.size()), fNRow(v.Nrow()), fData((double*)StackAllocatorHolder::Get().Allocate(sizeof(double)*v.size())) {
//     std::cout<<"LASymMatrix(const LASymMatrix& v)"<<std::endl;
    memcpy(fData, v.Data(), fSize*sizeof(double));
  }

  LASymMatrix& operator=(const LASymMatrix& v) {
//     std::cout<<"LASymMatrix& operator=(const LASymMatrix& v)"<<std::endl;
//     std::cout<<"fSize= "<<fSize<<std::endl;
//     std::cout<<"v.size()= "<<v.size()<<std::endl;
    assert(fSize == v.size());
    memcpy(fData, v.Data(), fSize*sizeof(double));
    return *this;
  }

  template<class T>
  LASymMatrix(const ABObj<sym, LASymMatrix, T>& v) : 
    fSize(v.Obj().size()), fNRow(v.Obj().Nrow()), fData((double*)StackAllocatorHolder::Get().Allocate(sizeof(double)*v.Obj().size())) {
//     std::cout<<"LASymMatrix(const ABObj<sym, LASymMatrix, T>& v)"<<std::endl;
    //std::cout<<"allocate "<<fSize<<std::endl;    
    memcpy(fData, v.Obj().Data(), fSize*sizeof(double));
    Mndscal(fSize, double(v.f()), fData, 1);
    //std::cout<<"fData= "<<fData[0]<<" "<<fData[1]<<std::endl;
  } 

  template<class A, class B, class T>
  LASymMatrix(const ABObj<sym, ABSum<ABObj<sym, A, T>, ABObj<sym, B, T> >,T>& sum) : fSize(0), fNRow(0), fData(0) {
//     std::cout<<"template<class A, class B, class T> LASymMatrix(const ABObj<sym, ABSum<ABObj<sym, A, T>, ABObj<sym, B, T> > >& sum)"<<std::endl;
//     recursive construction
    (*this) = sum.Obj().A();
    (*this) += sum.Obj().B();
    //std::cout<<"leaving template<class A, class B, class T> LASymMatrix(const ABObj..."<<std::endl;
  }

  template<class A, class T>
  LASymMatrix(const ABObj<sym, ABSum<ABObj<sym, LASymMatrix, T>, ABObj<sym, A, T> >,T>& sum) : fSize(0), fNRow(0), fData(0) {
//     std::cout<<"template<class A, class T> LASymMatrix(const ABObj<sym, ABSum<ABObj<sym, LASymMatrix, T>, ABObj<sym, A, T> >,T>& sum)"<<std::endl;

    // recursive construction
    //std::cout<<"(*this)=sum.Obj().B();"<<std::endl;
    (*this)=sum.Obj().B();
    //std::cout<<"(*this)+=sum.Obj().A();"<<std::endl;
    (*this)+=sum.Obj().A();  
    //std::cout<<"leaving template<class A, class T> LASymMatrix(const ABObj<sym, ABSum<ABObj<sym, LASymMatrix,.."<<std::endl;
  }

  template<class A, class T>
  LASymMatrix(const ABObj<sym, ABObj<sym, A, T>, T>& something) : fSize(0), fNRow(0), fData(0) {
//     std::cout<<"template<class A, class T> LASymMatrix(const ABObj<sym, ABObj<sym, A, T>, T>& something)"<<std::endl;
    (*this) = something.Obj();
    (*this) *= something.f();
    //std::cout<<"leaving template<class A, class T> LASymMatrix(const ABObj<sym, ABObj<sym, A, T>, T>& something)"<<std::endl;
  }

  template<class T>
  LASymMatrix(const ABObj<sym, MatrixInverse<sym, ABObj<sym, LASymMatrix, T>, T>, T>& inv) : fSize(inv.Obj().Obj().Obj().size()), fNRow(inv.Obj().Obj().Obj().Nrow()), fData((double*)StackAllocatorHolder::Get().Allocate(sizeof(double)*inv.Obj().Obj().Obj().size())) {
    memcpy(fData, inv.Obj().Obj().Obj().Data(), fSize*sizeof(double));
    Mndscal(fSize, double(inv.Obj().Obj().f()), fData, 1);
    Invert(*this);
    Mndscal(fSize, double(inv.f()), fData, 1);
  }

  template<class A, class T>
  LASymMatrix(const ABObj<sym, ABSum<ABObj<sym, MatrixInverse<sym, ABObj<sym, LASymMatrix, T>, T>, T>, ABObj<sym, A, T> >, T>& sum) : fSize(0), fNRow(0), fData(0) {
//     std::cout<<"template<class A, class T> LASymMatrix(const ABObj<sym, ABSum<ABObj<sym, MatrixInverse<sym, ABObj<sym, LASymMatrix, T>, T>, T>, ABObj<sym, A, T> >, T>& sum)"<<std::endl;

    // recursive construction
    (*this)=sum.Obj().B();
    (*this)+=sum.Obj().A();  
    //std::cout<<"leaving template<class A, class T> LASymMatrix(const ABObj<sym, ABSum<ABObj<sym, LASymMatrix,.."<<std::endl;
  }

  LASymMatrix(const ABObj<sym, VectorOuterProduct<ABObj<vec, LAVector, double>, double>, double>&);

  template<class A, class T>
  LASymMatrix(const ABObj<sym, ABSum<ABObj<sym, VectorOuterProduct<ABObj<vec, LAVector, T>, T>, T>, ABObj<sym, A, T> >, T>& sum) : fSize(0), fNRow(0), fData(0) {
//     std::cout<<"template<class A, class T> LASymMatrix(const ABObj<sym, ABSum<ABObj<sym, VectorOuterProduct<ABObj<vec, LAVector, T>, T>, T> ABObj<sym, A, T> >,T>& sum)"<<std::endl;

    // recursive construction
    (*this)=sum.Obj().B();
    (*this)+=sum.Obj().A();  
    //std::cout<<"leaving template<class A, class T> LASymMatrix(const ABObj<sym, ABSum<ABObj<sym, LASymMatrix,.."<<std::endl;
  }

  LASymMatrix& operator+=(const LASymMatrix& m) {
//     std::cout<<"LASymMatrix& operator+=(const LASymMatrix& m)"<<std::endl;
    assert(fSize==m.size());
    Mndaxpy(fSize, 1., m.Data(), 1, fData, 1);
    return *this;
  }

  LASymMatrix& operator-=(const LASymMatrix& m) {
//     std::cout<<"LASymMatrix& operator-=(const LASymMatrix& m)"<<std::endl;
    assert(fSize==m.size());
    Mndaxpy(fSize, -1., m.Data(), 1, fData, 1);
    return *this;
  }

  template<class T>
  LASymMatrix& operator+=(const ABObj<sym, LASymMatrix, T>& m) {
//     std::cout<<"template<class T> LASymMatrix& operator+=(const ABObj<sym, LASymMatrix, T>& m)"<<std::endl;
    assert(fSize==m.Obj().size());
    if(m.Obj().Data()==fData) {
      Mndscal(fSize, 1.+double(m.f()), fData, 1);
    } else {
      Mndaxpy(fSize, double(m.f()), m.Obj().Data(), 1, fData, 1);
    }
    //std::cout<<"fData= "<<fData[0]<<" "<<fData[1]<<std::endl;
    return *this;
  }

  template<class A, class T>
  LASymMatrix& operator+=(const ABObj<sym, A, T>& m) {
//     std::cout<<"template<class A, class T> LASymMatrix& operator+=(const ABObj<sym, A,T>& m)"<<std::endl;
    (*this) += LASymMatrix(m);
    return *this;
  }

  template<class T>
  LASymMatrix& operator+=(const ABObj<sym, MatrixInverse<sym, ABObj<sym, LASymMatrix, T>, T>, T>& m) {
//     std::cout<<"template<class T> LASymMatrix& operator+=(const ABObj<sym, MatrixInverse<sym, ABObj<sym, LASymMatrix, T>, T>, T>& m)"<<std::endl;
    assert(fNRow > 0);
    LASymMatrix tmp(m.Obj().Obj());
    Invert(tmp);
    tmp *= double(m.f());
    (*this) += tmp;
    return *this;
  }

  template<class T>
  LASymMatrix& operator+=(const ABObj<sym, VectorOuterProduct<ABObj<vec, LAVector, T>, T>, T>& m) {
//     std::cout<<"template<class T> LASymMatrix& operator+=(const ABObj<sym, VectorOuterProduct<ABObj<vec, LAVector, T>, T>, T>&"<<std::endl;
    assert(fNRow > 0);
    Outer_prod(*this, m.Obj().Obj().Obj(), m.f()*m.Obj().Obj().f()*m.Obj().Obj().f());
    return *this;
  }
  
  LASymMatrix& operator*=(double scal) {
    Mndscal(fSize, scal, fData, 1);
    return *this;
  }

  double operator()(unsigned int row, unsigned int col) const {
    assert(row<fNRow && col < fNRow);
    if(row > col) 
      return fData[col+row*(row+1)/2];
    else
      return fData[row+col*(col+1)/2];
  }

  double& operator()(unsigned int row, unsigned int col) {
    assert(row<fNRow && col < fNRow);
    if(row > col) 
      return fData[col+row*(row+1)/2];
    else
      return fData[row+col*(col+1)/2];
  }
  
  const double* Data() const {return fData;}

  double* Data() {return fData;}
  
  unsigned int size() const {return fSize;}

  unsigned int Nrow() const {return fNRow;}
  
  unsigned int Ncol() const {return Nrow();}

private:
 
  unsigned int fSize;
  unsigned int fNRow;
  double* fData;

public:

  template<class T>
  LASymMatrix& operator=(const ABObj<sym, LASymMatrix, T>& v)  {
    //std::cout<<"template<class T> LASymMatrix& operator=(ABObj<sym, LASymMatrix, T>& v)"<<std::endl;
    if(fSize == 0 && fData == 0) {
      fSize = v.Obj().size();
      fNRow = v.Obj().Nrow();
      fData = (double*)StackAllocatorHolder::Get().Allocate(sizeof(double)*fSize);
    } else {
      assert(fSize == v.Obj().size());
    }
    //std::cout<<"fData= "<<fData[0]<<" "<<fData[1]<<std::endl;
    memcpy(fData, v.Obj().Data(), fSize*sizeof(double));
    (*this) *= v.f();
    return *this;
  }

  template<class A, class T>
  LASymMatrix& operator=(const ABObj<sym, ABObj<sym, A, T>, T>& something) {
    //std::cout<<"template<class A, class T> LASymMatrix& operator=(const ABObj<sym, ABObj<sym, A, T>, T>& something)"<<std::endl;
    if(fSize == 0 && fData == 0) {
      (*this) = something.Obj();
      (*this) *= something.f();
    } else {
      LASymMatrix tmp(something.Obj());
      tmp *= something.f();
      assert(fSize == tmp.size());
      memcpy(fData, tmp.Data(), fSize*sizeof(double)); 
    }
    //std::cout<<"template<class A, class T> LASymMatrix& operator=(const ABObj<sym, ABObj<sym, A, T>, T>& something)"<<std::endl;
    return *this;
  }

  template<class A, class B, class T>
  LASymMatrix& operator=(const ABObj<sym, ABSum<ABObj<sym, A, T>, ABObj<sym, B, T> >,T>& sum) {
    //std::cout<<"template<class A, class B, class T> LASymMatrix& operator=(const ABObj<sym, ABSum<ABObj<sym, A, T>, ABObj<sym, B, T> >,T>& sum)"<<std::endl;
    // recursive construction
    if(fSize == 0 && fData == 0) {
      (*this) = sum.Obj().A();
      (*this) += sum.Obj().B();
      (*this) *= sum.f();
    } else {
      LASymMatrix tmp(sum.Obj().A());
      tmp += sum.Obj().B();
      tmp *= sum.f();
      assert(fSize == tmp.size());
      memcpy(fData, tmp.Data(), fSize*sizeof(double));
    }
    return *this;
  }

  template<class A, class T>
  LASymMatrix& operator=(const ABObj<sym, ABSum<ABObj<sym, LASymMatrix, T>, ABObj<sym, A, T> >,T>& sum)  {
    //std::cout<<"template<class A, class T> LASymMatrix& operator=(const ABObj<sym, ABSum<ABObj<sym, LASymMatrix, T>, ABObj<sym, A, T> >,T>& sum)"<<std::endl;
    
    if(fSize == 0 && fData == 0) {
      //std::cout<<"fSize == 0 && fData == 0"<<std::endl;
      (*this) = sum.Obj().B();
      (*this) += sum.Obj().A();
      (*this) *= sum.f();
    } else {
      //std::cout<<"creating tmp variable"<<std::endl;
      LASymMatrix tmp(sum.Obj().B());
      tmp += sum.Obj().A();
      tmp *= sum.f();
      assert(fSize == tmp.size());
      memcpy(fData, tmp.Data(), fSize*sizeof(double));
    }
    //std::cout<<"leaving LASymMatrix& operator=(const ABObj<sym, ABSum<ABObj<sym, LASymMatrix..."<<std::endl;
    return *this;
  }

  template<class T>
  LASymMatrix& operator=(const ABObj<sym, MatrixInverse<sym, ABObj<sym, LASymMatrix, T>, T>, T>& inv) {
    if(fSize == 0 && fData == 0) {
      fSize = inv.Obj().Obj().Obj().size();
      fNRow = inv.Obj().Obj().Obj().Nrow();
      fData = (double*)StackAllocatorHolder::Get().Allocate(sizeof(double)*fSize);
      memcpy(fData, inv.Obj().Obj().Obj().Data(), fSize*sizeof(double));
      (*this) *= inv.Obj().Obj().f();
      Invert(*this);
      (*this) *= inv.f();
    } else {
      LASymMatrix tmp(inv.Obj().Obj());
      Invert(tmp);
      tmp *= double(inv.f());
      assert(fSize == tmp.size());
      memcpy(fData, tmp.Data(), fSize*sizeof(double));
    }
    return *this;
  }

  LASymMatrix& operator=(const ABObj<sym, VectorOuterProduct<ABObj<vec, LAVector, double>, double>, double>&);
};

  }  // namespace Minuit2

}  // namespace ROOT

#endif  // ROOT_Minuit2_LASymMatrix
