AnasaziBasicSort.hpp

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// ***********************************************************************
//
//                 Anasazi: Block Eigensolvers Package
//                 Copyright (2004) Sandia Corporation
//
// Under terms of Contract DE-AC04-94AL85000, there is a non-exclusive
// license for use of this work by or on behalf of the U.S. Government.
//
// This library is free software; you can redistribute it and/or modify
// it under the terms of the GNU Lesser General Public License as
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// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
// Lesser General Public License for more details.
//
// You should have received a copy of the GNU Lesser General Public
// License along with this library; if not, write to the Free Software
// Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307
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// Questions? Contact Michael A. Heroux (maherou@sandia.gov)
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#ifndef ANASAZI_BASIC_SORT_HPP
#define ANASAZI_BASIC_SORT_HPP

#include "AnasaziConfigDefs.hpp"
#include "AnasaziSortManager.hpp"
#include "Teuchos_LAPACK.hpp"
#include "Teuchos_ScalarTraits.hpp"
#include "Teuchos_ParameterList.hpp"

namespace Anasazi {

  template<class MagnitudeType>
  class BasicSort : public SortManager<MagnitudeType> {
    
  public:
    
    BasicSort( Teuchos::ParameterList &pl );

    BasicSort( const std::string &which = "LM" );

    virtual ~BasicSort();


    void setSortType( const std::string &which );
    
    void sort(std::vector<MagnitudeType> &evals, Teuchos::RCP<std::vector<int> > perm = Teuchos::null, int n = -1) const;

    void sort(std::vector<MagnitudeType> &r_evals, 
              std::vector<MagnitudeType> &i_evals, 
              Teuchos::RCP<std::vector<int> > perm = Teuchos::null,
              int n = -1) const;
    
  protected: 
    
    // enum for sort type
    enum SType {
      LM, SM,
      LR, SR,
      LI, SI
    };
    SType which_;

    // sorting methods
    template <class LTorGT>
    struct compMag {
      // for real-only LM,SM
      bool operator()(MagnitudeType, MagnitudeType);
      // for real-only LM,SM with permutation
      template <class First, class Second>
        bool operator()(std::pair<First,Second>, std::pair<First,Second>);
    };

    template <class LTorGT>
    struct compMag2 {
      // for real-imag LM,SM
      bool operator()(std::pair<MagnitudeType,MagnitudeType>, std::pair<MagnitudeType,MagnitudeType>);
      // for real-imag LM,SM with permutation
      template <class First, class Second>
        bool operator()(std::pair<First,Second>, std::pair<First,Second>);
    };

    template <class LTorGT>
    struct compAlg {
      // for real-imag LR,SR,LI,SI
      bool operator()(MagnitudeType, MagnitudeType);
      template <class First, class Second>
        bool operator()(std::pair<First,Second>, std::pair<First,Second>);
    };

    template <typename pair_type>
    struct sel1st 
    {
      const typename pair_type::first_type &operator()(const pair_type &v) const;
    };

    template <typename pair_type>
    struct sel2nd 
    {
      const typename pair_type::second_type &operator()(const pair_type &v) const;
    };
  };


  //  IMPLEMENTATION

  template<class MagnitudeType>
  BasicSort<MagnitudeType>::BasicSort(Teuchos::ParameterList &pl) 
  {
    std::string which = "LM";
    which = pl.get("Sort Strategy",which);
    setSortType(which);
  }

  template<class MagnitudeType>
  BasicSort<MagnitudeType>::BasicSort(const std::string &which) 
  {
    setSortType(which);
  }

  template<class MagnitudeType>
  BasicSort<MagnitudeType>::~BasicSort() 
  {}

  template<class MagnitudeType>
  void BasicSort<MagnitudeType>::setSortType(const std::string &which) 
  { 
    // make upper case
    std::string whichlc(which);
    std::transform(which.begin(),which.end(),whichlc.begin(),(int(*)(int)) std::toupper);
    if (whichlc == "LM") {
      which_ = LM;
    }
    else if (whichlc == "SM") {
      which_ = SM;
    }
    else if (whichlc == "LR") {
      which_ = LR;
    }
    else if (whichlc == "SR") {
      which_ = SR;
    }
    else if (whichlc == "LI") {
      which_ = LI;
    }
    else if (whichlc == "SI") {
      which_ = SI;
    }
    else {
      TEST_FOR_EXCEPTION(true, std::invalid_argument, "Anasazi::BasicSort::setSortType(): sorting order is not valid");
    }
  }

  template<class MagnitudeType>
  void BasicSort<MagnitudeType>::sort(std::vector<MagnitudeType> &evals, Teuchos::RCP<std::vector<int> > perm, int n) const
  {
    TEST_FOR_EXCEPTION(n < -1, std::invalid_argument, "Anasazi::BasicSort::sort(r): n must be n >= 0 or n == -1.");
    if (n == -1) {
      n = evals.size();
    }
    TEST_FOR_EXCEPTION(evals.size() < (unsigned int) n,
                       std::invalid_argument, "Anasazi::BasicSort::sort(r): eigenvalue vector size isn't consistent with n.");
    if (perm != Teuchos::null) {
      TEST_FOR_EXCEPTION(perm->size() < (unsigned int) n,
                         std::invalid_argument, "Anasazi::BasicSort::sort(r): permutation vector size isn't consistent with n.");
    }

    typedef std::greater<MagnitudeType> greater_mt;
    typedef std::less<MagnitudeType>    less_mt;

    if (perm == Teuchos::null) {
      //
      // if permutation index is not required, just sort using the values
      //
      if (which_ == LM ) {
        std::sort(evals.begin(),evals.begin()+n,compMag<greater_mt>());
      }
      else if (which_ == SM) {
        std::sort(evals.begin(),evals.begin()+n,compMag<less_mt>());
      }
      else if (which_ == LR) {
        std::sort(evals.begin(),evals.begin()+n,compAlg<greater_mt>());
      }
      else if (which_ == SR) {
        std::sort(evals.begin(),evals.begin()+n,compAlg<less_mt>());
      }
      else {
        TEST_FOR_EXCEPTION(true, SortManagerError, "Anasazi::BasicSort::sort(r): LI or SI sorting invalid for real scalar types." );
      }
    }
    else {
      // 
      // if permutation index is required, we must sort the two at once
      // in this case, we arrange a pair structure: <value,index>
      // default comparison operator for pair<t1,t2> is lexographic:
      //    compare first t1, then t2
      // this works fine for us here.
      //

      // copy the values and indices into the pair structure
      std::vector< std::pair<MagnitudeType,int> > pairs(n);
      for (int i=0; i<n; i++) {
        pairs[i] = std::make_pair(evals[i],i);
      }

      // sort the pair structure
      if (which_ == LM) {
        std::sort(pairs.begin(),pairs.begin()+n,compMag<greater_mt>());
      }
      else if (which_ == SM) {
        std::sort(pairs.begin(),pairs.begin()+n,compMag<less_mt>());
      }
      else if (which_ == LR) {
        std::sort(pairs.begin(),pairs.begin()+n,compAlg<greater_mt>());
      }
      else if (which_ == SR) {
        std::sort(pairs.begin(),pairs.begin()+n,compAlg<less_mt>());
      }
      else {
        TEST_FOR_EXCEPTION(true, SortManagerError, "Anasazi::BasicSort::sort(r): LI or SI sorting invalid for real scalar types." );
      }

      // copy the values and indices out of the pair structure
      std::transform(pairs.begin(),pairs.end(),evals.begin(),sel1st< std::pair<MagnitudeType,int> >());
      std::transform(pairs.begin(),pairs.end(),perm->begin(),sel2nd< std::pair<MagnitudeType,int> >());
    }
  }


  template<class T1, class T2>
  class MakePairOp {
  public:
    std::pair<T1,T2> operator()( const T1 &t1, const T2 &t2 )
      { return std::make_pair(t1, t2); }
  };


  template<class MagnitudeType>
  void BasicSort<MagnitudeType>::sort(std::vector<MagnitudeType> &r_evals, 
                                      std::vector<MagnitudeType> &i_evals, 
                                      Teuchos::RCP< std::vector<int> > perm,
                                      int n) const 
  {

    typedef typename std::vector<MagnitudeType>::iterator r_eval_iter_t;
    typedef typename std::vector<MagnitudeType>::iterator i_eval_iter_t;

    TEST_FOR_EXCEPTION(n < -1, std::invalid_argument, "Anasazi::BasicSort::sort(r,i): n must be n >= 0 or n == -1.");
    if (n == -1) {
      n = r_evals.size() < i_evals.size() ? r_evals.size() : i_evals.size();
    }
    TEST_FOR_EXCEPTION(r_evals.size() < (unsigned int) n || i_evals.size() < (unsigned int) n,
                       std::invalid_argument, "Anasazi::BasicSort::sort(r,i): eigenvalue vector size isn't consistent with n.");
    if (perm != Teuchos::null) {
      TEST_FOR_EXCEPTION(perm->size() < (unsigned int) n,
                         std::invalid_argument, "Anasazi::BasicSort::sort(r,i): permutation vector size isn't consistent with n.");
    }

    typedef std::greater<MagnitudeType> greater_mt;
    typedef std::less<MagnitudeType>    less_mt;

    //
    // put values into pairs
    //
    if (perm == Teuchos::null) {
      //
      // not permuting, so we don't need indices in the pairs
      // 
      std::vector< std::pair<MagnitudeType,MagnitudeType> > pairs(n);
      // for LM,SM, the order doesn't matter
      // for LI,SI, the imaginary goes first
      // for LR,SR, the real goes in first
      if (which_ == LR || which_ == SR || which_ == LM || which_ == SM) {
        std::transform(
          r_evals.begin(), r_evals.begin()+n,
          i_evals.begin(), pairs.begin(),
          MakePairOp<MagnitudeType,MagnitudeType>());
      }
      else {
        std::transform(
          i_evals.begin(), i_evals.begin()+n,
          r_evals.begin(), pairs.begin(),
          MakePairOp<MagnitudeType,MagnitudeType>());
      }

      if (which_ == LR || which_ == LI) {
        std::sort(pairs.begin(),pairs.end(),compAlg<greater_mt>());
      }
      else if (which_ == SR || which_ == SI) {
        std::sort(pairs.begin(),pairs.end(),compAlg<less_mt>());
      }
      else if (which_ == LM) {
        std::sort(pairs.begin(),pairs.end(),compMag2<greater_mt>());
      }
      else {
        std::sort(pairs.begin(),pairs.end(),compMag2<less_mt>());
      }

      // extract the values
      // for LM,SM,LR,SR: order is (real,imag)
      // for LI,SI: order is (imag,real)
      if (which_ == LR || which_ == SR || which_ == LM || which_ == SM) {
        std::transform(pairs.begin(),pairs.end(),r_evals.begin(),sel1st< std::pair<MagnitudeType,MagnitudeType> >());
        std::transform(pairs.begin(),pairs.end(),i_evals.begin(),sel2nd< std::pair<MagnitudeType,MagnitudeType> >());
      }
      else {
        std::transform(pairs.begin(),pairs.end(),r_evals.begin(),sel2nd< std::pair<MagnitudeType,MagnitudeType> >());
        std::transform(pairs.begin(),pairs.end(),i_evals.begin(),sel1st< std::pair<MagnitudeType,MagnitudeType> >());
      }
    }
    else {
      //
      // permuting, we need indices in the pairs
      // 
      std::vector< std::pair< std::pair<MagnitudeType,MagnitudeType>, int > > pairs(n);
      // for LM,SM, the order doesn't matter
      // for LI,SI, the imaginary goes first
      // for LR,SR, the real goes in first
      if (which_ == LR || which_ == SR || which_ == LM || which_ == SM) {
        for (int i=0; i<n; i++) {
          pairs[i] = std::make_pair(std::make_pair(r_evals[i],i_evals[i]),i);
        }
      }
      else {
        for (int i=0; i<n; i++) {
          pairs[i] = std::make_pair(std::make_pair(i_evals[i],r_evals[i]),i);
        }
      }

      if (which_ == LR || which_ == LI) {
        std::sort(pairs.begin(),pairs.end(),compAlg<greater_mt>());
      }
      else if (which_ == SR || which_ == SI) {
        std::sort(pairs.begin(),pairs.end(),compAlg<less_mt>());
      }
      else if (which_ == LM) {
        std::sort(pairs.begin(),pairs.end(),compMag2<greater_mt>());
      }
      else {
        std::sort(pairs.begin(),pairs.end(),compMag2<less_mt>());
      }

      // extract the values
      // for LM,SM,LR,SR: order is (real,imag)
      // for LI,SI: order is (imag,real)
      if (which_ == LR || which_ == SR || which_ == LM || which_ == SM) {
        for (int i=0; i<n; i++) {
          r_evals[i] = pairs[i].first.first;
          i_evals[i] = pairs[i].first.second;
          (*perm)[i] = pairs[i].second;
        }
      }
      else {
        for (int i=0; i<n; i++) {
          i_evals[i] = pairs[i].first.first;
          r_evals[i] = pairs[i].first.second;
          (*perm)[i] = pairs[i].second;
        }
      }
    }
  }


  template<class MagnitudeType>
  template<class LTorGT>
  bool BasicSort<MagnitudeType>::compMag<LTorGT>::operator()(MagnitudeType v1, MagnitudeType v2)
  {
    typedef Teuchos::ScalarTraits<MagnitudeType> MTT;
    LTorGT comp;
    return comp( MTT::magnitude(v1), MTT::magnitude(v2) );
  }

  template<class MagnitudeType>
  template<class LTorGT>
  bool BasicSort<MagnitudeType>::compMag2<LTorGT>::operator()(std::pair<MagnitudeType,MagnitudeType> v1, std::pair<MagnitudeType,MagnitudeType> v2)
  {
    MagnitudeType m1 = v1.first*v1.first + v1.second*v1.second;
    MagnitudeType m2 = v2.first*v2.first + v2.second*v2.second;
    LTorGT comp;
    return comp( m1, m2 );
  }

  template<class MagnitudeType>
  template<class LTorGT>
  bool BasicSort<MagnitudeType>::compAlg<LTorGT>::operator()(MagnitudeType v1, MagnitudeType v2) 
  {
    LTorGT comp;
    return comp( v1, v2 );
  }

  template<class MagnitudeType>
  template<class LTorGT>
  template<class First, class Second>
  bool BasicSort<MagnitudeType>::compMag<LTorGT>::operator()(std::pair<First,Second> v1, std::pair<First,Second> v2) {
    return (*this)(v1.first,v2.first);
  }

  template<class MagnitudeType>
  template<class LTorGT>
  template<class First, class Second>
  bool BasicSort<MagnitudeType>::compMag2<LTorGT>::operator()(std::pair<First,Second> v1, std::pair<First,Second> v2) {
    return (*this)(v1.first,v2.first);
  }

  template<class MagnitudeType>
  template<class LTorGT>
  template<class First, class Second>
  bool BasicSort<MagnitudeType>::compAlg<LTorGT>::operator()(std::pair<First,Second> v1, std::pair<First,Second> v2) {
    return (*this)(v1.first,v2.first);
  }

  template <class MagnitudeType>
  template <typename pair_type>
  const typename pair_type::first_type &
  BasicSort<MagnitudeType>::sel1st<pair_type>::operator()(const pair_type &v) const 
  {
    return v.first;
  }

  template <class MagnitudeType>
  template <typename pair_type>
  const typename pair_type::second_type &
  BasicSort<MagnitudeType>::sel2nd<pair_type>::operator()(const pair_type &v) const 
  {
    return v.second;
  }

} // namespace Anasazi

#endif // ANASAZI_BASIC_SORT_HPP

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