AnasaziEpetraAdapter.hpp

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//                 Anasazi: Block Eigensolvers Package
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#ifndef ANASAZI_EPETRA_ADAPTER_HPP
#define ANASAZI_EPETRA_ADAPTER_HPP
 
#include "AnasaziConfigDefs.hpp"
#include "Anasaziepetra_DLLExportMacro.h"
#include "AnasaziTypes.hpp"
#include "AnasaziMultiVec.hpp"
#include "AnasaziOperator.hpp"
#include "AnasaziOutputStreamTraits.hpp"
 
#include "Teuchos_Assert.hpp"
#include "Teuchos_SerialDenseMatrix.hpp"
#include "Teuchos_FancyOStream.hpp"
 
#include "Epetra_MultiVector.h"
#include "Epetra_Vector.h"
#include "Epetra_Operator.h"
#include "Epetra_Map.h"
#include "Epetra_LocalMap.h"
#include "Epetra_Comm.h"
 
#if defined(HAVE_ANASAZI_TPETRA) && defined(HAVE_ANASAZI_TSQR)
#  include <Tpetra_ConfigDefs.hpp> // HAVE_TPETRA_EPETRA 
#  if defined(HAVE_TPETRA_EPETRA)
#    include <Epetra_TsqrAdaptor.hpp>
#  endif // defined(HAVE_TPETRA_EPETRA)
#endif // defined(HAVE_ANASAZI_TPETRA) && defined(HAVE_ANASAZI_TSQR)
 
namespace Anasazi {
 
 
 
  class EpetraMultiVecFailure : public AnasaziError {public:
    EpetraMultiVecFailure(const std::string& what_arg) : AnasaziError(what_arg)
    {}};
 
  class EpetraOpFailure : public AnasaziError {public:
    EpetraOpFailure(const std::string& what_arg) : AnasaziError(what_arg)
    {}};
 
 
 
 
  class EpetraMultiVecAccessor {
 
  public:
    virtual ~EpetraMultiVecAccessor() {};
 
    virtual Epetra_MultiVector* GetEpetraMultiVec() { return 0; }
 
    virtual const Epetra_MultiVector* GetEpetraMultiVec() const { return 0; }
  };
 
  
  //
  //--------template class AnasaziEpetraMultiVec-----------------
  //
  
  class ANASAZIEPETRA_LIB_DLL_EXPORT EpetraMultiVec : public MultiVec<double>,  public Epetra_MultiVector, public EpetraMultiVecAccessor {
  public:
 
 
 
    EpetraMultiVec(const Epetra_BlockMap& Map_in, const int numvecs);
 
    EpetraMultiVec(const Epetra_MultiVector & P_vec);
    
 
    EpetraMultiVec(const Epetra_BlockMap& Map_in, double * array, const int numvecs, const int stride=0);
 
 
    EpetraMultiVec(Epetra_DataAccess CV, const Epetra_MultiVector& P_vec, const std::vector<int>& index);
 
    virtual ~EpetraMultiVec() {};
 
 
 
 
    MultiVec<double> * Clone ( const int numvecs ) const;
 
    MultiVec<double> * CloneCopy () const;
 
    MultiVec<double> * CloneCopy ( const std::vector<int>& index ) const;
    
    MultiVec<double> * CloneViewNonConst ( const std::vector<int>& index );
 
    const MultiVec<double> * CloneView ( const std::vector<int>& index ) const;
 
 
    ptrdiff_t GetGlobalLength () const 
    {
       if ( Map().GlobalIndicesLongLong() )
          return static_cast<ptrdiff_t>( GlobalLength64() );
       else 
          return static_cast<ptrdiff_t>( GlobalLength() );
    }
 
    int GetNumberVecs () const { return NumVectors(); }
 
 
 
 
    void MvTimesMatAddMv ( double alpha, const MultiVec<double>& A, 
                           const Teuchos::SerialDenseMatrix<int,double>& B, 
                           double beta );
 
    void MvAddMv ( double alpha, const MultiVec<double>& A, 
                   double beta, const MultiVec<double>& B);
 
    void MvTransMv ( double alpha, const MultiVec<double>& A, Teuchos::SerialDenseMatrix<int,double>& B 
#ifdef HAVE_ANASAZI_EXPERIMENTAL
        , ConjType conj = Anasazi::CONJ
#endif
        ) const;
  
    void MvDot ( const MultiVec<double>& A, std::vector<double> &b
#ifdef HAVE_ANASAZI_EXPERIMENTAL
        , ConjType conj = Anasazi::CONJ
#endif
        ) const;
 
    void MvScale ( double alpha ) { 
      TEUCHOS_TEST_FOR_EXCEPTION( this->Scale( alpha )!=0, EpetraMultiVecFailure,
          "Anasazi::EpetraMultiVec::MvScale call to Epetra_MultiVector::Scale() returned a nonzero value.");
    }
    
    void MvScale ( const std::vector<double>& alpha );
 
 
    
    void MvNorm ( std::vector<double> & normvec ) const {
      if (((int)normvec.size() >= GetNumberVecs()) ) {
        TEUCHOS_TEST_FOR_EXCEPTION( this->Norm2(&normvec[0])!=0, EpetraMultiVecFailure,
            "Anasazi::EpetraMultiVec::MvNorm call to Epetra_MultiVector::Norm2() returned a nonzero value.");
      }
    };
    
 
 
    void SetBlock ( const MultiVec<double>& A, const std::vector<int>& index );
 
    void MvRandom() { 
      TEUCHOS_TEST_FOR_EXCEPTION( this->Random()!=0, EpetraMultiVecFailure,
          "Anasazi::EpetraMultiVec::MvRandom call to Epetra_MultiVector::Random() returned a nonzero value.");
    };
 
    void MvInit ( double alpha ) { 
      TEUCHOS_TEST_FOR_EXCEPTION( this->PutScalar( alpha )!=0, EpetraMultiVecFailure,
          "Anasazi::EpetraMultiVec::MvInit call to Epetra_MultiVector::PutScalar() returned a nonzero value.");
    };
   
 
   
    Epetra_MultiVector* GetEpetraMultiVec() { return this; };
 
    const Epetra_MultiVector* GetEpetraMultiVec() const { return this; };
 
 
 
 
    void MvPrint( std::ostream& os ) const { os << *this << std::endl; };
 
  private:
  };
  //-------------------------------------------------------------
  
  //
  //--------template class AnasaziEpetraOp---------------------
  //
  
  class ANASAZIEPETRA_LIB_DLL_EXPORT EpetraOp : public virtual Operator<double> {
  public:
 
    
    EpetraOp(const Teuchos::RCP<Epetra_Operator> &Op );
    
    ~EpetraOp();
    
 
    
    void Apply ( const MultiVec<double>& X, MultiVec<double>& Y ) const;
    
  private:
//use pragmas to disable some false-positive warnings for windows 
// sharedlibs export
#ifdef _MSC_VER
#pragma warning(push)
#pragma warning(disable:4251)
#endif
    Teuchos::RCP<Epetra_Operator> Epetra_Op;
#ifdef _MSC_VER
#pragma warning(pop)
#endif
  };
  //-------------------------------------------------------------
 
  //
  //--------template class AnasaziEpetraGenOp--------------------
  //
  
  class ANASAZIEPETRA_LIB_DLL_EXPORT EpetraGenOp : public virtual Operator<double>, public virtual Epetra_Operator {
  public:
 
    EpetraGenOp(const Teuchos::RCP<Epetra_Operator> &AOp, 
                const Teuchos::RCP<Epetra_Operator> &MOp,
                bool isAInverse = true );
 
    ~EpetraGenOp();
    
 
    void Apply ( const MultiVec<double>& X, MultiVec<double>& Y ) const; 
 
 
    int Apply(const Epetra_MultiVector &X, Epetra_MultiVector &Y) const;
 
 
    int ApplyInverse(const Epetra_MultiVector &X, Epetra_MultiVector &Y) const;
 
    const char* Label() const { return "Epetra_Operator applying A^{-1}M"; };
    
    bool UseTranspose() const { return (false); };
 
    int SetUseTranspose(bool /*UseTranspose_in*/) { return 0; };
    
    bool HasNormInf() const { return (false); };
    
    double NormInf() const  { return (-1.0); };
    
    const Epetra_Comm& Comm() const { return Epetra_AOp->Comm(); };
 
    const Epetra_Map& OperatorDomainMap() const { return Epetra_AOp->OperatorDomainMap(); };
 
    const Epetra_Map& OperatorRangeMap() const { return Epetra_AOp->OperatorRangeMap(); };
 
  private:
    bool isAInverse;
 
//use pragmas to disable some false-positive warnings for windows 
// sharedlibs export
#ifdef _MSC_VER
#pragma warning(push)
#pragma warning(disable:4251)
#endif
    Teuchos::RCP<Epetra_Operator> Epetra_AOp;
    Teuchos::RCP<Epetra_Operator> Epetra_MOp;
#ifdef _MSC_VER
#pragma warning(pop)
#endif
  };
  
  //
  //--------template class AnasaziEpetraSymOp--------------------
  //
 
  class ANASAZIEPETRA_LIB_DLL_EXPORT EpetraSymOp : public virtual Operator<double>, public virtual Epetra_Operator {
  public:
 
    EpetraSymOp(const Teuchos::RCP<Epetra_Operator> &Op, bool isTrans = false );
 
    ~EpetraSymOp();
    
 
    void Apply ( const MultiVec<double>& X, MultiVec<double>& Y ) const; 
 
 
    int Apply(const Epetra_MultiVector &X, Epetra_MultiVector &Y) const;
 
 
    int ApplyInverse(const Epetra_MultiVector &X, Epetra_MultiVector &Y) const;
 
    const char* Label() const { return "Epetra_Operator applying A^TA or AA^T"; };
    
    bool UseTranspose() const { return (false); };
 
    int SetUseTranspose(bool /*UseTranspose_in*/) { return 0; };
    
    bool HasNormInf() const { return (false); };
    
    double NormInf() const  { return (-1.0); };
    
    const Epetra_Comm& Comm() const { return Epetra_Op->Comm(); };
 
    const Epetra_Map& OperatorDomainMap() const { return Epetra_Op->OperatorDomainMap(); };
 
    const Epetra_Map& OperatorRangeMap() const { return Epetra_Op->OperatorRangeMap(); };
 
  private:
 
//use pragmas to disable false-positive warnings in generating windows sharedlib exports
#ifdef _MSC_VER
#pragma warning(push)
#pragma warning(disable:4251)
#endif
    Teuchos::RCP<Epetra_Operator> Epetra_Op;
#ifdef _MSC_VER
#pragma warning(pop)
#endif
 
    bool isTrans_;
  };
 
 
  //
  //--------template class AnasaziEpetraSymMVOp---------------------
  //
 
  class ANASAZIEPETRA_LIB_DLL_EXPORT EpetraSymMVOp : public virtual Operator<double> {
  public:
 
    EpetraSymMVOp(const Teuchos::RCP<const Epetra_MultiVector> &MV, 
                  bool isTrans = false );
    
    ~EpetraSymMVOp() {};
    
 
    void Apply ( const MultiVec<double>& X, MultiVec<double>& Y ) const; 
 
  private:
 
//use pragmas to disable some false-positive warnings for windows 
// sharedlibs export
#ifdef _MSC_VER
#pragma warning(push)
#pragma warning(disable:4251)
#endif
    Teuchos::RCP<const Epetra_MultiVector> Epetra_MV;
    Teuchos::RCP<const Epetra_Map> MV_localmap;
    Teuchos::RCP<const Epetra_BlockMap> MV_blockmap;
#ifdef _MSC_VER
#pragma warning(pop)
#endif
 
    bool isTrans_;
  };
 
  //
  //--------template class AnasaziEpetraWSymMVOp---------------------
  //
 
  class ANASAZIEPETRA_LIB_DLL_EXPORT EpetraWSymMVOp : public virtual Operator<double> {
  public:
    EpetraWSymMVOp(const Teuchos::RCP<const Epetra_MultiVector> &MV, 
                   const Teuchos::RCP<Epetra_Operator> &OP );
    
    ~EpetraWSymMVOp() {};
    
 
    void Apply ( const MultiVec<double>& X, MultiVec<double>& Y ) const; 
 
  private:
//use pragmas to disable some false-positive warnings for windows 
// sharedlibs export
#ifdef _MSC_VER
#pragma warning(push)
#pragma warning(disable:4251)
#endif
    Teuchos::RCP<const Epetra_MultiVector> Epetra_MV;
    Teuchos::RCP<Epetra_Operator> Epetra_OP;
    Teuchos::RCP<Epetra_MultiVector> Epetra_WMV;
    Teuchos::RCP<const Epetra_Map> MV_localmap;
    Teuchos::RCP<const Epetra_BlockMap> MV_blockmap;
#ifdef _MSC_VER
#pragma warning(pop)
#endif
  };
 
  //
  //--------template class AnasaziEpetraW2SymMVOp---------------------
  //
 
  class ANASAZIEPETRA_LIB_DLL_EXPORT EpetraW2SymMVOp : public virtual Operator<double> {
  public:
    EpetraW2SymMVOp(const Teuchos::RCP<const Epetra_MultiVector> &MV, 
                   const Teuchos::RCP<Epetra_Operator> &OP );
    
    ~EpetraW2SymMVOp() {};
    
 
    void Apply ( const MultiVec<double>& X, MultiVec<double>& Y ) const; 
 
  private:
//use pragmas to disable some false-positive warnings for windows 
// sharedlibs export
#ifdef _MSC_VER
#pragma warning(push)
#pragma warning(disable:4251)
#endif
    Teuchos::RCP<const Epetra_MultiVector> Epetra_MV;
    Teuchos::RCP<Epetra_Operator> Epetra_OP;
    Teuchos::RCP<Epetra_MultiVector> Epetra_WMV;
    Teuchos::RCP<const Epetra_Map> MV_localmap;
    Teuchos::RCP<const Epetra_BlockMap> MV_blockmap;
#ifdef _MSC_VER
#pragma warning(pop)
#endif
  };
 
  
  //
  // Implementation of the Anasazi::MultiVecTraits for Epetra::MultiVector.
  //
 
  template<>
  class MultiVecTraits<double, Epetra_MultiVector>
  {
  public:
 
 
 
    static Teuchos::RCP<Epetra_MultiVector> 
    Clone (const Epetra_MultiVector& mv, const int outNumVecs)
    { 
      TEUCHOS_TEST_FOR_EXCEPTION(outNumVecs <= 0, std::invalid_argument,
       "Belos::MultiVecTraits<double, Epetra_MultiVector>::"
       "Clone(mv, outNumVecs = " << outNumVecs << "): "
       "outNumVecs must be positive.");
      // FIXME (mfh 13 Jan 2011) Anasazi currently lets Epetra fill in
      // the entries of the returned multivector with zeros, but Belos
      // does not.  We retain this different behavior for now, but the
      // two versions will need to be reconciled.
      return Teuchos::rcp (new Epetra_MultiVector (mv.Map(), outNumVecs)); 
    }
 
    static Teuchos::RCP<Epetra_MultiVector> 
    CloneCopy (const Epetra_MultiVector& mv)
    { 
      return Teuchos::rcp (new Epetra_MultiVector (mv)); 
    }
 
    static Teuchos::RCP<Epetra_MultiVector> 
    CloneCopy (const Epetra_MultiVector& mv, const std::vector<int>& index)
    { 
      const int inNumVecs = GetNumberVecs (mv);
      const int outNumVecs = index.size();
 
      // Simple, inexpensive tests of the index vector.
      TEUCHOS_TEST_FOR_EXCEPTION(outNumVecs == 0, std::invalid_argument,
       "Anasazi::MultiVecTraits<double,Epetra_MultiVector>::"
       "CloneCopy(mv, index = {}): At least one vector must be"
       " cloned from mv.");
      if (outNumVecs > inNumVecs)
  {
    std::ostringstream os;
    os << "Anasazi::MultiVecTraits<double,Epetra_MultiVector>::"
      "CloneCopy(mv, index = {";
    for (int k = 0; k < outNumVecs - 1; ++k)
      os << index[k] << ", ";
    os << index[outNumVecs-1] << "}): There are " << outNumVecs 
       << " indices to copy, but only " << inNumVecs << " columns of mv.";
    TEUCHOS_TEST_FOR_EXCEPTION(true, std::invalid_argument, os.str());
  }
#ifdef TEUCHOS_DEBUG
      // In debug mode, we perform more expensive tests of the index
      // vector, to ensure all the elements are in range.
      // Dereferencing the iterator is valid because index has length
      // > 0.
      const int minIndex = *std::min_element (index.begin(), index.end());
      const int maxIndex = *std::max_element (index.begin(), index.end());
 
      if (minIndex < 0)
  {
    std::ostringstream os;
    os << "Anasazi::MultiVecTraits<double,Epetra_MultiVector>::"
      "CloneCopy(mv, index = {";
    for (int k = 0; k < outNumVecs - 1; ++k)
      os << index[k] << ", ";
    os << index[outNumVecs-1] << "}): Indices must be nonnegative, but "
      "the smallest index " << minIndex << " is negative.";
    TEUCHOS_TEST_FOR_EXCEPTION(true, std::invalid_argument, os.str());
  }
      if (maxIndex >= inNumVecs)
  {
    std::ostringstream os;
    os << "Anasazi::MultiVecTraits<double,Epetra_MultiVector>::"
      "CloneCopy(mv, index = {";
    for (int k = 0; k < outNumVecs - 1; ++k)
      os << index[k] << ", ";
    os << index[outNumVecs-1] << "}): Indices must be strictly less than "
      "the number of vectors " << inNumVecs << " in mv; the largest index " 
       << maxIndex << " is out of bounds.";
    TEUCHOS_TEST_FOR_EXCEPTION(true, std::invalid_argument, os.str());
  }
#endif // TEUCHOS_DEBUG
      // Cast to nonconst, because Epetra_MultiVector's constructor
      // wants a nonconst int array argument.  It doesn't actually
      // change the entries of the array.
      std::vector<int>& tmpind = const_cast< std::vector<int>& > (index);
      return Teuchos::rcp (new Epetra_MultiVector (Epetra_DataAccess::Copy, mv, &tmpind[0], index.size())); 
    }
 
    static Teuchos::RCP<Epetra_MultiVector> 
    CloneCopy (const Epetra_MultiVector& mv, const Teuchos::Range1D& index)
    { 
      const int inNumVecs = GetNumberVecs (mv);
      const int outNumVecs = index.size();
      const bool validRange = outNumVecs > 0 && index.lbound() >= 0 && 
  index.ubound() < inNumVecs;
      if (! validRange)
  {
    std::ostringstream os;
    os << "Anasazi::MultiVecTraits<double,Epetra_MultiVector>::Clone(mv,"
      "index=[" << index.lbound() << ", " << index.ubound() << "]): ";
    TEUCHOS_TEST_FOR_EXCEPTION(outNumVecs == 0, std::invalid_argument,
           os.str() << "Column index range must be nonempty.");
    TEUCHOS_TEST_FOR_EXCEPTION(index.lbound() < 0, std::invalid_argument,
           os.str() << "Column index range must be nonnegative.");
    TEUCHOS_TEST_FOR_EXCEPTION(index.ubound() >= inNumVecs, std::invalid_argument,
           os.str() << "Column index range must not exceed "
           "number of vectors " << inNumVecs << " in the "
           "input multivector.");
  }
      return Teuchos::rcp (new Epetra_MultiVector (Epetra_DataAccess::Copy, mv, index.lbound(), index.size()));
    }
 
    static Teuchos::RCP<Epetra_MultiVector> 
    CloneViewNonConst (Epetra_MultiVector& mv, const std::vector<int>& index)
    { 
      const int inNumVecs = GetNumberVecs (mv);
      const int outNumVecs = index.size();
 
      // Simple, inexpensive tests of the index vector.
      TEUCHOS_TEST_FOR_EXCEPTION(outNumVecs == 0, std::invalid_argument,
       "Anasazi::MultiVecTraits<double,Epetra_MultiVector>::"
       "CloneViewNonConst(mv, index = {}): The output view "
       "must have at least one column.");
      if (outNumVecs > inNumVecs)
  {
    std::ostringstream os;
    os << "Anasazi::MultiVecTraits<double,Epetra_MultiVector>::"
      "CloneViewNonConst(mv, index = {";
    for (int k = 0; k < outNumVecs - 1; ++k)
      os << index[k] << ", ";
    os << index[outNumVecs-1] << "}): There are " << outNumVecs 
       << " indices to view, but only " << inNumVecs << " columns of mv.";
    TEUCHOS_TEST_FOR_EXCEPTION(true, std::invalid_argument, os.str());
  }
#ifdef TEUCHOS_DEBUG
      // In debug mode, we perform more expensive tests of the index
      // vector, to ensure all the elements are in range.
      // Dereferencing the iterator is valid because index has length
      // > 0.
      const int minIndex = *std::min_element (index.begin(), index.end());
      const int maxIndex = *std::max_element (index.begin(), index.end());
 
      if (minIndex < 0)
  {
    std::ostringstream os;
    os << "Anasazi::MultiVecTraits<double,Epetra_MultiVector>::"
      "CloneViewNonConst(mv, index = {";
    for (int k = 0; k < outNumVecs - 1; ++k)
      os << index[k] << ", ";
    os << index[outNumVecs-1] << "}): Indices must be nonnegative, but "
      "the smallest index " << minIndex << " is negative.";
    TEUCHOS_TEST_FOR_EXCEPTION(true, std::invalid_argument, os.str());
  }
      if (maxIndex >= inNumVecs)
  {
    std::ostringstream os;
    os << "Anasazi::MultiVecTraits<double,Epetra_MultiVector>::"
      "CloneViewNonConst(mv, index = {";
    for (int k = 0; k < outNumVecs - 1; ++k)
      os << index[k] << ", ";
    os << index[outNumVecs-1] << "}): Indices must be strictly less than "
      "the number of vectors " << inNumVecs << " in mv; the largest index " 
       << maxIndex << " is out of bounds.";
    TEUCHOS_TEST_FOR_EXCEPTION(true, std::invalid_argument, os.str());
  }
#endif // TEUCHOS_DEBUG
      // Cast to nonconst, because Epetra_MultiVector's constructor
      // wants a nonconst int array argument.  It doesn't actually
      // change the entries of the array.
      std::vector<int>& tmpind = const_cast< std::vector<int>& > (index);
      return Teuchos::rcp (new Epetra_MultiVector (Epetra_DataAccess::View, mv, &tmpind[0], index.size()));
    }
 
    static Teuchos::RCP<Epetra_MultiVector> 
    CloneViewNonConst (Epetra_MultiVector& mv, const Teuchos::Range1D& index)
    { 
      const bool validRange = index.size() > 0 && 
  index.lbound() >= 0 && 
  index.ubound() < mv.NumVectors();
      if (! validRange)
  {
    std::ostringstream os;
    os << "Anasazi::MultiVecTraits<double,Epetra_MultiVector>::CloneView"
      "NonConst(mv,index=[" << index.lbound() << ", " << index.ubound() 
       << "]): ";
    TEUCHOS_TEST_FOR_EXCEPTION(index.size() == 0, std::invalid_argument,
           os.str() << "Column index range must be nonempty.");
    TEUCHOS_TEST_FOR_EXCEPTION(index.lbound() < 0, std::invalid_argument,
           os.str() << "Column index range must be nonnegative.");
    TEUCHOS_TEST_FOR_EXCEPTION(index.ubound() >= mv.NumVectors(), 
           std::invalid_argument,
           os.str() << "Column index range must not exceed "
           "number of vectors " << mv.NumVectors() << " in "
           "the input multivector.");
  }
      return Teuchos::rcp (new Epetra_MultiVector (Epetra_DataAccess::View, mv, index.lbound(), index.size()));
    }
 
    static Teuchos::RCP<const Epetra_MultiVector> 
    CloneView (const Epetra_MultiVector& mv, const std::vector<int>& index)
    { 
      const int inNumVecs = GetNumberVecs (mv);
      const int outNumVecs = index.size();
 
      // Simple, inexpensive tests of the index vector.
      TEUCHOS_TEST_FOR_EXCEPTION(outNumVecs == 0, std::invalid_argument,
       "Belos::MultiVecTraits<double,Epetra_MultiVector>::"
       "CloneView(mv, index = {}): The output view "
       "must have at least one column.");
      if (outNumVecs > inNumVecs)
  {
    std::ostringstream os;
    os << "Belos::MultiVecTraits<double,Epetra_MultiVector>::"
      "CloneView(mv, index = {";
    for (int k = 0; k < outNumVecs - 1; ++k)
      os << index[k] << ", ";
    os << index[outNumVecs-1] << "}): There are " << outNumVecs 
       << " indices to view, but only " << inNumVecs << " columns of mv.";
    TEUCHOS_TEST_FOR_EXCEPTION(true, std::invalid_argument, os.str());
  }
#ifdef TEUCHOS_DEBUG
      // In debug mode, we perform more expensive tests of the index
      // vector, to ensure all the elements are in range.
      // Dereferencing the iterator is valid because index has length
      // > 0.
      const int minIndex = *std::min_element (index.begin(), index.end());
      const int maxIndex = *std::max_element (index.begin(), index.end());
 
      if (minIndex < 0)
  {
    std::ostringstream os;
    os << "Belos::MultiVecTraits<double,Epetra_MultiVector>::"
      "CloneView(mv, index = {";
    for (int k = 0; k < outNumVecs - 1; ++k)
      os << index[k] << ", ";
    os << index[outNumVecs-1] << "}): Indices must be nonnegative, but "
      "the smallest index " << minIndex << " is negative.";
    TEUCHOS_TEST_FOR_EXCEPTION(true, std::invalid_argument, os.str());
  }
      if (maxIndex >= inNumVecs)
  {
    std::ostringstream os;
    os << "Belos::MultiVecTraits<double,Epetra_MultiVector>::"
      "CloneView(mv, index = {";
    for (int k = 0; k < outNumVecs - 1; ++k)
      os << index[k] << ", ";
    os << index[outNumVecs-1] << "}): Indices must be strictly less than "
      "the number of vectors " << inNumVecs << " in mv; the largest index " 
       << maxIndex << " is out of bounds.";
    TEUCHOS_TEST_FOR_EXCEPTION(true, std::invalid_argument, os.str());
  }
#endif // TEUCHOS_DEBUG
      // Cast to nonconst, because Epetra_MultiVector's constructor
      // wants a nonconst int array argument.  It doesn't actually
      // change the entries of the array.
      std::vector<int>& tmpind = const_cast< std::vector<int>& > (index);
      return Teuchos::rcp (new Epetra_MultiVector (Epetra_DataAccess::View, mv, &tmpind[0], index.size()));
    }
 
    static Teuchos::RCP<Epetra_MultiVector> 
    CloneView (const Epetra_MultiVector& mv, const Teuchos::Range1D& index)
    { 
      const bool validRange = index.size() > 0 && 
  index.lbound() >= 0 && 
  index.ubound() < mv.NumVectors();
      if (! validRange)
  {
    std::ostringstream os;
    os << "Anasazi::MultiVecTraits<double,Epetra_MultiVector>::CloneView"
      "(mv,index=[" << index.lbound() << ", " << index.ubound() 
       << "]): ";
    TEUCHOS_TEST_FOR_EXCEPTION(index.size() == 0, std::invalid_argument,
           os.str() << "Column index range must be nonempty.");
    TEUCHOS_TEST_FOR_EXCEPTION(index.lbound() < 0, std::invalid_argument,
           os.str() << "Column index range must be nonnegative.");
    TEUCHOS_TEST_FOR_EXCEPTION(index.ubound() >= mv.NumVectors(), 
           std::invalid_argument,
           os.str() << "Column index range must not exceed "
           "number of vectors " << mv.NumVectors() << " in "
           "the input multivector.");
  }
      return Teuchos::rcp (new Epetra_MultiVector(Epetra_DataAccess::View, mv, index.lbound(), index.size()));
    }
 
 
 
 
    static ptrdiff_t GetGlobalLength( const Epetra_MultiVector& mv )
    { 
      if (mv.Map().GlobalIndicesLongLong())
        return static_cast<ptrdiff_t>( mv.GlobalLength64() );
      else
        return static_cast<ptrdiff_t>( mv.GlobalLength() );
    }
 
    static int GetNumberVecs( const Epetra_MultiVector& mv )
    { return mv.NumVectors(); }
 
    static bool HasConstantStride( const Epetra_MultiVector& mv )
    { return mv.ConstantStride(); }
 
 
 
    static void MvTimesMatAddMv( double alpha, const Epetra_MultiVector& A, 
                                 const Teuchos::SerialDenseMatrix<int,double>& B, 
                                 double beta, Epetra_MultiVector& mv )
    { 
      Epetra_LocalMap LocalMap(B.numRows(), 0, mv.Map().Comm());
      Epetra_MultiVector B_Pvec(Epetra_DataAccess::View, LocalMap, B.values(), B.stride(), B.numCols());
 
      TEUCHOS_TEST_FOR_EXCEPTION( mv.Multiply( 'N', 'N', alpha, A, B_Pvec, beta )!=0, EpetraMultiVecFailure,
          "Anasazi::MultiVecTraits<double, Epetra_MultiVector>::MvTimesMatAddMv call to Epetra_MultiVector::Multiply() returned a nonzero value.");
    }
 
    static void MvAddMv( double alpha, const Epetra_MultiVector& A, double beta, const Epetra_MultiVector& B, Epetra_MultiVector& mv )
    { 
      // epetra mv.Update(alpha,A,beta,B,gamma) will check 
      //   alpha == 0.0 
      // and 
      //   beta == 0.0 
      // and based on this will call 
      //   mv.Update(beta,B,gamma) 
      // or 
      //   mv.Update(alpha,A,gamma)
      //
      // mv.Update(alpha,A,gamma) 
      // will then check for one of 
      //   gamma == 0
      // or 
      //   gamma == 1
      // or 
      //   alpha == 1 
      // in that order. however, it will not look for the combination
      //   alpha == 1 and gamma = 0
      // which is a common use case when we wish to assign 
      //   mv = A   (in which case alpha == 1, beta == gamma == 0)
      // or 
      //   mv = B   (in which case beta == 1, alpha == gamma == 0)
      // 
      // therefore, we will check for these use cases ourselves
      if (beta == 0.0) {
        if (alpha == 1.0) {
          // assign
          mv = A;
        }
        else {
          // single update
          TEUCHOS_TEST_FOR_EXCEPTION( mv.Update( alpha, A, 0.0 )!=0, EpetraMultiVecFailure,
              "Anasazi::MultiVecTraits<double, Epetra_MultiVector>::MvAddMv call to Epetra_MultiVector::Update(alpha,A,0.0) returned a nonzero value.");
        }
      }
      else if (alpha == 0.0) {
        if (beta == 1.0) {
          // assign 
          mv = B;
        }
        else {
          // single update
          TEUCHOS_TEST_FOR_EXCEPTION( mv.Update( beta, B, 0.0 )!=0, EpetraMultiVecFailure,
              "Anasazi::MultiVecTraits<double, Epetra_MultiVector>::MvAddMv call to Epetra_MultiVector::Update(beta,B,0.0) returned a nonzero value.");
        }
      }
      else {
        // double update
        TEUCHOS_TEST_FOR_EXCEPTION( mv.Update( alpha, A, beta, B, 0.0 )!=0, EpetraMultiVecFailure,
            "Anasazi::MultiVecTraits<double, Epetra_MultiVector>::MvAddMv call to Epetra_MultiVector::Update(alpha,A,beta,B,0.0) returned a nonzero value.");
      }
    }
 
    static void MvTransMv( double alpha, const Epetra_MultiVector& A, const Epetra_MultiVector& mv, Teuchos::SerialDenseMatrix<int,double>& B
#ifdef HAVE_ANASAZI_EXPERIMENTAL
                          , ConjType conj = Anasazi::CONJ
#endif
                        )
    { 
      Epetra_LocalMap LocalMap(B.numRows(), 0, mv.Map().Comm());
      Epetra_MultiVector B_Pvec(Epetra_DataAccess::View, LocalMap, B.values(), B.stride(), B.numCols());
      
      TEUCHOS_TEST_FOR_EXCEPTION( B_Pvec.Multiply( 'T', 'N', alpha, A, mv, 0.0 )!=0, EpetraMultiVecFailure,
          "Anasazi::MultiVecTraits<double, Epetra_MultiVector>::MvTransMv call to Epetra_MultiVector::Multiply() returned a nonzero value.");
    }
    
    static void MvDot( const Epetra_MultiVector& A, const Epetra_MultiVector& B, std::vector<double> &b
#ifdef HAVE_ANASAZI_EXPERIMENTAL
                      , ConjType conj = Anasazi::CONJ
#endif
                      )
    {
#ifdef TEUCHOS_DEBUG
      TEUCHOS_TEST_FOR_EXCEPTION(A.NumVectors() != B.NumVectors(),std::invalid_argument,
          "Anasazi::MultiVecTraits<double,Epetra_MultiVector>::MvDot(A,B,b): A and B must have the same number of vectors.");
      TEUCHOS_TEST_FOR_EXCEPTION(b.size() != (unsigned int)A.NumVectors(),std::invalid_argument,
          "Anasazi::MultiVecTraits<double,Epetra_MultiVector>::MvDot(A,B,b): b must have room for all dot products.");
#endif
      TEUCHOS_TEST_FOR_EXCEPTION( A.Dot( B, &b[0] )!=0, EpetraMultiVecFailure,
          "Anasazi::MultiVecTraits<double, Epetra_MultiVector>::MvDot(A,B,b) call to Epetra_MultiVector::Dot() returned a nonzero value.");     
    }
 
 
 
    static void MvNorm( const Epetra_MultiVector& mv, std::vector<double> &normvec )
    { 
#ifdef TEUCHOS_DEBUG
      TEUCHOS_TEST_FOR_EXCEPTION((unsigned int)mv.NumVectors() != normvec.size(),std::invalid_argument,
          "Anasazi::MultiVecTraits<double,Epetra_MultiVector>::MvNorm(mv,normvec): normvec must be the same size of mv.");
#endif
      TEUCHOS_TEST_FOR_EXCEPTION( mv.Norm2(&normvec[0])!=0, EpetraMultiVecFailure,
          "Anasazi::MultiVecTraits<double, Epetra_MultiVector>::MvNorm call to Epetra_MultiVector::Norm2() returned a nonzero value."); 
    }
 
    
 
 
    static void 
    SetBlock (const Epetra_MultiVector& A, 
        const std::vector<int>& index, 
        Epetra_MultiVector& mv)
    { 
      const int inNumVecs = GetNumberVecs (A);
      const int outNumVecs = index.size();
 
      // FIXME (mfh 13 Jan 2011) Belos allows A to have more columns
      // than index.size(), in which case we just take the first
      // index.size() columns of A.  Anasazi requires that A have the
      // same number of columns as index.size().  Changing Anasazi's
      // behavior should not break existing Anasazi solvers, but the
      // tests need to be done.
      if (inNumVecs != outNumVecs)
  {
    std::ostringstream os;
    os << "Belos::MultiVecTraits<double,Epetra_MultiVector>::"
      "SetBlock(A, mv, index = {";
    if (outNumVecs > 0)
      {
        for (int k = 0; k < outNumVecs - 1; ++k)
    os << index[k] << ", ";
        os << index[outNumVecs-1];
      }
    os << "}): A has only " << inNumVecs << " columns, but there are "
       << outNumVecs << " indices in the index vector.";
    TEUCHOS_TEST_FOR_EXCEPTION(true, std::invalid_argument, os.str());
  }
      // Make a view of the columns of mv indicated by the index std::vector.
      Teuchos::RCP<Epetra_MultiVector> mv_view = CloneViewNonConst (mv, index);
 
      // View of columns [0, outNumVecs-1] of the source multivector A.
      // If A has fewer columns than mv_view, then create a view of
      // the first outNumVecs columns of A.
      Teuchos::RCP<const Epetra_MultiVector> A_view;
      if (outNumVecs == inNumVecs)
  A_view = Teuchos::rcpFromRef (A); // Const, non-owning RCP
      else
  A_view = CloneView (A, Teuchos::Range1D(0, outNumVecs - 1));
 
      // Assignment calls Epetra_MultiVector::Assign(), which deeply
      // copies the data directly, ignoring the underlying
      // Epetra_Map(s).  If A and mv don't have the same data
      // distribution (Epetra_Map), this may result in incorrect or
      // undefined behavior.  Epetra_MultiVector::Update() also
      // ignores the Epetra_Maps, so we might as well just use the
      // (perhaps slightly cheaper) Assign() method via operator=().
      *mv_view = *A_view;
    }
 
    static void 
    SetBlock (const Epetra_MultiVector& A, 
        const Teuchos::Range1D& index, 
        Epetra_MultiVector& mv)
    { 
      const int numColsA = A.NumVectors();
      const int numColsMv = mv.NumVectors();
      // 'index' indexes into mv; it's the index set of the target.
      const bool validIndex = index.lbound() >= 0 && index.ubound() < numColsMv;
      // We can't take more columns out of A than A has.
      const bool validSource = index.size() <= numColsA;
 
      if (! validIndex || ! validSource)
  {
    std::ostringstream os;
    os << "Anasazi::MultiVecTraits<double, Epetra_MultiVector>::SetBlock"
      "(A, index=[" << index.lbound() << ", " << index.ubound() << "], "
      "mv): ";
    TEUCHOS_TEST_FOR_EXCEPTION(index.lbound() < 0, std::invalid_argument,
           os.str() << "Range lower bound must be nonnegative.");
    TEUCHOS_TEST_FOR_EXCEPTION(index.ubound() >= numColsMv, std::invalid_argument,
           os.str() << "Range upper bound must be less than "
           "the number of columns " << numColsA << " in the "
           "'mv' output argument.");
    TEUCHOS_TEST_FOR_EXCEPTION(index.size() > numColsA, std::invalid_argument,
           os.str() << "Range must have no more elements than"
           " the number of columns " << numColsA << " in the "
           "'A' input argument.");
    TEUCHOS_TEST_FOR_EXCEPTION(true, std::logic_error, "Should never get here!");
  }
 
      // View of columns [index.lbound(), index.ubound()] of the
      // target multivector mv.  We avoid view creation overhead by
      // only creating a view if the index range is different than [0,
      // (# columns in mv) - 1].
      Teuchos::RCP<Epetra_MultiVector> mv_view;
      if (index.lbound() == 0 && index.ubound()+1 == numColsMv)
  mv_view = Teuchos::rcpFromRef (mv); // Non-const, non-owning RCP
      else
  mv_view = CloneViewNonConst (mv, index);
 
      // View of columns [0, index.size()-1] of the source multivector
      // A.  If A has fewer columns than mv_view, then create a view
      // of the first index.size() columns of A.
      Teuchos::RCP<const Epetra_MultiVector> A_view;
      if (index.size() == numColsA)
  A_view = Teuchos::rcpFromRef (A); // Const, non-owning RCP
      else
  A_view = CloneView (A, Teuchos::Range1D(0, index.size()-1));
 
      // Assignment calls Epetra_MultiVector::Assign(), which deeply
      // copies the data directly, ignoring the underlying
      // Epetra_Map(s).  If A and mv don't have the same data
      // distribution (Epetra_Map), this may result in incorrect or
      // undefined behavior.  Epetra_MultiVector::Update() also
      // ignores the Epetra_Maps, so we might as well just use the
      // (perhaps slightly cheaper) Assign() method via operator=().
      *mv_view = *A_view; 
    }
 
    static void 
    Assign (const Epetra_MultiVector& A, 
      Epetra_MultiVector& mv)
    {
      const int numColsA = GetNumberVecs (A);
      const int numColsMv = GetNumberVecs (mv);
      if (numColsA > numColsMv)
  {
    std::ostringstream os;
    os << "Anasazi::MultiVecTraits<double, Epetra_MultiVector>::Assign"
      "(A, mv): ";
    TEUCHOS_TEST_FOR_EXCEPTION(numColsA > numColsMv, std::invalid_argument,
           os.str() << "Input multivector 'A' has " 
           << numColsA << " columns, but output multivector "
           "'mv' has only " << numColsMv << " columns.");
    TEUCHOS_TEST_FOR_EXCEPTION(true, std::logic_error, "Should never get here!");
  }
      // View of the first [0, numColsA-1] columns of mv.
      Teuchos::RCP<Epetra_MultiVector> mv_view;
      if (numColsMv == numColsA)
  mv_view = Teuchos::rcpFromRef (mv); // Non-const, non-owning RCP
      else // numColsMv > numColsA
  mv_view = CloneView (mv, Teuchos::Range1D(0, numColsA - 1));
      
      // Assignment calls Epetra_MultiVector::Assign(), which deeply
      // copies the data directly, ignoring the underlying
      // Epetra_Map(s).  If A and mv don't have the same data
      // distribution (Epetra_Map), this may result in incorrect or
      // undefined behavior.  Epetra_MultiVector::Update() also
      // ignores the Epetra_Maps, so we might as well just use the
      // (perhaps slightly cheaper) Assign() method via operator=().
      *mv_view = A;
    }
 
    static void MvScale ( Epetra_MultiVector& mv, double alpha ) 
    { 
      TEUCHOS_TEST_FOR_EXCEPTION( mv.Scale( alpha )!=0, EpetraMultiVecFailure,
          "Anasazi::MultiVecTraits<double, Epetra_MultiVector>::MvScale call to Epetra_MultiVector::Scale(mv,double alpha) returned a nonzero value."); 
    }
 
    static void MvScale ( Epetra_MultiVector& mv, const std::vector<double>& alpha )
    { 
      // Check to make sure the vector is as long as the multivector has columns.
      int numvecs = mv.NumVectors();
#ifdef TEUCHOS_DEBUG
      TEUCHOS_TEST_FOR_EXCEPTION( alpha.size() != (unsigned int)numvecs, std::invalid_argument,
                          "Anasazi::MultiVecTraits<double, Epetra_MultiVector>::MvScale(mv,vector alpha): size of alpha inconsistent with number of vectors in mv.")
#endif
      for (int i=0; i<numvecs; i++) {
        TEUCHOS_TEST_FOR_EXCEPTION( mv(i)->Scale(alpha[i])!=0, EpetraMultiVecFailure,
            "Anasazi::MultiVecTraits<double, Epetra_MultiVector>::MvScale call to Epetra_MultiVector::Scale() returned a nonzero value.");
      }
    }
 
    static void MvRandom( Epetra_MultiVector& mv )
    { 
      TEUCHOS_TEST_FOR_EXCEPTION( mv.Random()!=0, EpetraMultiVecFailure,
          "Anasazi::MultiVecTraits<double, Epetra_MultiVector>::MvRandom call to Epetra_MultiVector::Random() returned a nonzero value.");
    }
 
    static void MvInit( Epetra_MultiVector& mv, double alpha = Teuchos::ScalarTraits<double>::zero() )
    { 
      TEUCHOS_TEST_FOR_EXCEPTION( mv.PutScalar(alpha)!=0, EpetraMultiVecFailure,
          "Anasazi::MultiVecTraits<double, Epetra_MultiVector>::MvInit call to Epetra_MultiVector::PutScalar() returned a nonzero value.");
    }
 
 
 
 
    static void MvPrint( const Epetra_MultiVector& mv, std::ostream& os )
    { os << mv << std::endl; }
 
 
#if defined(HAVE_ANASAZI_TPETRA) && defined(HAVE_ANASAZI_TSQR)
#  if defined(HAVE_TPETRA_EPETRA)
    typedef Epetra::TsqrAdaptor tsqr_adaptor_type;
#  endif // defined(HAVE_TPETRA_EPETRA)
#endif // defined(HAVE_ANASAZI_TPETRA) && defined(HAVE_ANASAZI_TSQR)
  };        
 
  //
  // Implementation of the Anasazi::OperatorTraits for Epetra::Operator.
  //
 
  template <> 
  class OperatorTraits < double, Epetra_MultiVector, Epetra_Operator >
  {
  public:
    
    static void Apply ( const Epetra_Operator& Op, 
                        const Epetra_MultiVector& x, 
                        Epetra_MultiVector& y )
    { 
#ifdef TEUCHOS_DEBUG
      TEUCHOS_TEST_FOR_EXCEPTION(x.NumVectors() != y.NumVectors(),std::invalid_argument,
          "Anasazi::OperatorTraits<double,Epetra_MultiVector,Epetra_Operator>::Apply(Op,x,y): x and y must have the same number of columns.");
#endif
      int ret = Op.Apply(x,y);
      TEUCHOS_TEST_FOR_EXCEPTION(ret != 0, OperatorError, 
          "Anasazi::OperatorTraits<double,Epetra_Multivector,Epetra_Operator>::Apply(): Error in Epetra_Operator::Apply(). Code " << ret);
    }
    
  };
 
  template<>
  struct OutputStreamTraits<Epetra_Operator> 
  {
    static Teuchos::RCP<Teuchos::FancyOStream>
    getOutputStream (const Epetra_Operator& op, int rootRank = 0)
    {
      Teuchos::RCP<Teuchos::FancyOStream> fos = Teuchos::getFancyOStream(Teuchos::rcpFromRef(std::cout));
      const Epetra_Comm & comm = op.Comm();
 
      // Select minimum MPI rank as the root rank for printing if provided rank is less than 0.
      int myRank = comm.MyPID();
      int numProcs = comm.NumProc();
      if (rootRank < 0)
      {
        comm.MinAll( &myRank, &rootRank, 1 );
      }
 
      // This is irreversible, but that's only a problem if the input std::ostream
      // is actually a Teuchos::FancyOStream on which this method has been
      // called before, with a different root rank.
      fos->setProcRankAndSize (myRank, numProcs);
      fos->setOutputToRootOnly (rootRank);
      return fos;
    }
  };
    
} // end of Anasazi namespace 
 
#endif 
// end of file ANASAZI_EPETRA_ADAPTER_HPP