CMsymdense.hxx

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#ifndef CONICBUNDLE_CMSYMDENSE_HXX
#define CONICBUNDLE_CMSYMDENSE_HXX

#include "Coeffmat.hxx"

namespace ConicBundle {


  class CMsymdense: public Coeffmat
  {
  private:
    CH_Matrix_Classes::Symmatrix A; 
  public:
    CMsymdense(const CH_Matrix_Classes::Symmatrix& Ain,CoeffmatInfo* cip=0)
    {A=Ain;CM_type=CM_symdense;infop=cip;}
    virtual ~CMsymdense(){}

    virtual Coeffmat* clone() const 
    { return new CMsymdense(A,ConicBundle::clone(infop)); }
    
    virtual CH_Matrix_Classes::Integer dim() const {return A.rowdim();}
    
    virtual CH_Matrix_Classes::Real operator()(CH_Matrix_Classes::Integer i,CH_Matrix_Classes::Integer j) const {return A(i,j);}
    
    virtual void make_symmatrix(CH_Matrix_Classes::Symmatrix& S) const {S=A;}
 
    virtual CH_Matrix_Classes::Real norm(void) const {return CH_Matrix_Classes::norm2(A);}

    virtual Coeffmat* subspace(const CH_Matrix_Classes::Matrix& P) const
    { CH_Matrix_Classes::Symmatrix S; return new CMsymdense(S.xetriu_yza(P,A*P),ConicBundle::clone(infop));}
   
    virtual void multiply(CH_Matrix_Classes::Real d) 
    {A*=d; if (infop) infop->multiply(d);}

    virtual CH_Matrix_Classes::Real ip(const CH_Matrix_Classes::Symmatrix& S) const {return CH_Matrix_Classes::ip(S,A);}
    
    virtual CH_Matrix_Classes::Real gramip(const CH_Matrix_Classes::Matrix& P) const {return CH_Matrix_Classes::ip(P,A*P);}

    virtual CH_Matrix_Classes::Real gramip(const CH_Matrix_Classes::Matrix& P,CH_Matrix_Classes::Integer start_row,const CH_Matrix_Classes::Matrix* Lam=0) const 
    {
      CH_Matrix_Classes::Matrix B(A.rowdim(),P.coldim(),0.);
      CH_Matrix_Classes::Real *bp=B.get_store();
      const CH_Matrix_Classes::Integer brd=B.rowdim();
      const CH_Matrix_Classes::Integer pcd=P.coldim();
      const CH_Matrix_Classes::Integer prd=P.rowdim();
      const CH_Matrix_Classes::Real *pp=P.get_store()+start_row;
      const CH_Matrix_Classes::Real *vp=A.get_store();
      for(CH_Matrix_Classes::Integer i=0;i<brd;i++){
        CH_Matrix_Classes::mat_xpeya(pcd,bp+i,brd,pp+i,prd,(*vp++));
        for(CH_Matrix_Classes::Integer j=i+1;j<brd;j++){
          CH_Matrix_Classes::mat_xpeya(pcd,bp+i,brd,pp+j,prd,(*vp));
          CH_Matrix_Classes::mat_xpeya(pcd,bp+j,brd,pp+i,prd,(*vp++));
        }
      } 
      CH_Matrix_Classes::Real trval=0.;
      if (Lam==0){
        for(CH_Matrix_Classes::Integer i=0;i<pcd;i++){
          trval+=CH_Matrix_Classes::mat_ip(brd,pp,bp);
          bp+=brd;
          pp+=prd;
        }
      }
      else {
        assert(Lam->dim()==P.coldim());
        for(CH_Matrix_Classes::Integer i=0;i<pcd;i++){
          trval+=(*Lam)(i)*CH_Matrix_Classes::mat_ip(brd,pp,bp);
          bp+=brd;
          pp+=prd;
        }
      }
      return trval;
    }

     virtual void addmeto(CH_Matrix_Classes::Symmatrix& S,CH_Matrix_Classes::Real d=1.) const {S.xpeya(A,d);}

    virtual void addprodto(CH_Matrix_Classes::Matrix& B,const CH_Matrix_Classes::Matrix&C ,CH_Matrix_Classes::Real d=1.) const
    { B.xpeya(A*C,d); }
    //B+=d*(*this)*C

    virtual void addprodto(CH_Matrix_Classes::Matrix& B,const CH_Matrix_Classes::Sparsemat&C ,CH_Matrix_Classes::Real d=1.) const
    { CH_Matrix_Classes::genmult(A,C,B,d,1.); }
    //B+=d*(*this)*C

    virtual void left_right_prod(const CH_Matrix_Classes::Matrix& P,const CH_Matrix_Classes::Matrix& Q,CH_Matrix_Classes::Matrix& R) const
    {
      if (P.coldim()<Q.coldim()){
        CH_Matrix_Classes::Matrix tmp1; 
        CH_Matrix_Classes::genmult(A,P,tmp1,1.,0.,0);
        CH_Matrix_Classes::genmult(tmp1,Q,R,1.,0.,1,0);
      }
      else {
        CH_Matrix_Classes::Matrix tmp1; 
        CH_Matrix_Classes::genmult(A,Q,tmp1,1.,0.,0);
        CH_Matrix_Classes::genmult(P,tmp1,R,1.,0.,1,0);
      }
    }

    virtual CH_Matrix_Classes::Integer prodvec_flops() const 
    { return 2*A.rowdim()*A.rowdim(); }

    virtual int dense() const
    {return 1;}
    
    virtual int sparse() const
    { return 0;}
    
    virtual int sparse(CH_Matrix_Classes::Indexmatrix& /* I */,
                       CH_Matrix_Classes::Indexmatrix& /* J */,
                       CH_Matrix_Classes::Matrix& /* val */,
                       CH_Matrix_Classes::Real /* d=1. */)const
    { return 0;}
   
    virtual int support_in(const CH_Matrix_Classes::Sparsesym& /* S */) const
    {return 0;}

    virtual CH_Matrix_Classes::Real ip(const CH_Matrix_Classes::Sparsesym& S) const
    {return CH_Matrix_Classes::ip(A,S);}
    
    virtual void project(CH_Matrix_Classes::Symmatrix& S,const CH_Matrix_Classes::Matrix& P) const
    { S.init(CH_Matrix_Classes::transpose(P)*A*P); }

    virtual void add_projection(CH_Matrix_Classes::Symmatrix& S,const CH_Matrix_Classes::Matrix& P,CH_Matrix_Classes::Real alpha=1.,CH_Matrix_Classes::Integer start_row=0) const
    {
      CH_Matrix_Classes::Matrix B(A.rowdim(),P.coldim(),0.);
      CH_Matrix_Classes::Real *bp=B.get_store();
      const CH_Matrix_Classes::Integer brd=B.rowdim();
      const CH_Matrix_Classes::Integer pcd=P.coldim();
      const CH_Matrix_Classes::Integer prd=P.rowdim();
      const CH_Matrix_Classes::Real *pp=P.get_store()+start_row;
      const CH_Matrix_Classes::Real *vp=A.get_store();
      for(CH_Matrix_Classes::Integer i=0;i<brd;i++){
        CH_Matrix_Classes::mat_xpeya(pcd,bp+i,brd,pp+i,prd,(*vp++));
        for(CH_Matrix_Classes::Integer j=i+1;j<brd;j++){
          CH_Matrix_Classes::mat_xpeya(pcd,bp+i,brd,pp+j,prd,(*vp));
          CH_Matrix_Classes::mat_xpeya(pcd,bp+j,brd,pp+i,prd,(*vp++));
        }
      } 
      CH_Matrix_Classes::Real* sp=S.get_store();
      {for(CH_Matrix_Classes::Integer i=0;i<pcd;i++){
        const CH_Matrix_Classes::Real* bp2=bp;
        if (alpha==1.){
          for(CH_Matrix_Classes::Integer j=i;j<pcd;j++){
            (*sp++)+=CH_Matrix_Classes::mat_ip(brd,pp,bp2);
            bp2+=brd;
          }
        }
        else {
          for(CH_Matrix_Classes::Integer j=i;j<pcd;j++){
            (*sp++)+=alpha*CH_Matrix_Classes::mat_ip(brd,pp,bp2);
            bp2+=brd;
          }
        }
        bp+=brd;
        pp+=prd;
      }}
      chk_set_init(S,1);
    }

    virtual const CH_Matrix_Classes::Matrix& postgenmult(const CH_Matrix_Classes::Matrix& B,CH_Matrix_Classes::Matrix& C,
                             CH_Matrix_Classes::Real alpha=1.,CH_Matrix_Classes::Real beta=0.,int btrans=0) const
    { 
      return CH_Matrix_Classes::genmult(A,B,C,alpha,beta,btrans);
    }

    virtual const CH_Matrix_Classes::Matrix& pregenmult(const CH_Matrix_Classes::Matrix& B,CH_Matrix_Classes::Matrix& C,
                             CH_Matrix_Classes::Real alpha=1.,CH_Matrix_Classes::Real beta=0.,int btrans=0) const
    { 
      CH_Matrix_Classes::Matrix D; 
      return CH_Matrix_Classes::genmult(B,A,C,alpha,beta,btrans);
    }

    virtual int equal(const Coeffmat* p,double tol=1e-6) const
    {
      const CMsymdense *pp=dynamic_cast<const CMsymdense *>(p);
      if (pp==0) 
        return 0;
      if (A.rowdim()!=(pp->A).rowdim())
        return 0;
      return (CH_Matrix_Classes::norm2(A-pp->A)<tol);
    }
 
     virtual std::ostream& display(std::ostream& o) const 
    {o<<"CMsymdense\n"; A.display(o); return o;}
    
    virtual std::ostream& out(std::ostream& o) const
    {return o<<"SYMMETRIC_DENSE\n"<<A;}

    virtual std::istream& in(std::istream& i)
    {return i>>A;}
 
    CMsymdense(std::istream& is,CoeffmatInfo* cip=0)
    {CM_type=CM_symdense;infop=cip;in(is);}

    //--- specific routines
    const CH_Matrix_Classes::Symmatrix& get_A() const {return A;}

  };

}
#endif