path: root/src/3rd_party/blaze/math/expressions/SVecTransExpr.h

//=================================================================================================
/*!
//  \file blaze/math/expressions/SVecTransExpr.h
//  \brief Header file for the sparse vector transpose expression
//
//  Copyright (C) 2013 Klaus Iglberger - All Rights Reserved
//
//  This file is part of the Blaze library. You can redistribute it and/or modify it under
//  the terms of the New (Revised) BSD License. Redistribution and use in source and binary
//  forms, with or without modification, are permitted provided that the following conditions
//  are met:
//
//  1. Redistributions of source code must retain the above copyright notice, this list of
//     conditions and the following disclaimer.
//  2. Redistributions in binary form must reproduce the above copyright notice, this list
//     of conditions and the following disclaimer in the documentation and/or other materials
//     provided with the distribution.
//  3. Neither the names of the Blaze development group nor the names of its contributors
//     may be used to endorse or promote products derived from this software without specific
//     prior written permission.
//
//  THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND ANY
//  EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES
//  OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT
//  SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
//  INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED
//  TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR
//  BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
//  CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
//  ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH
//  DAMAGE.
*/
//=================================================================================================

#ifndef _BLAZE_MATH_EXPRESSIONS_SVECTRANSEXPR_H_
#define _BLAZE_MATH_EXPRESSIONS_SVECTRANSEXPR_H_


//*************************************************************************************************
// Includes
//*************************************************************************************************

#include <iterator>
#include <blaze/math/Aliases.h>
#include <blaze/math/constraints/RequiresEvaluation.h>
#include <blaze/math/constraints/SparseVector.h>
#include <blaze/math/Exception.h>
#include <blaze/math/expressions/Computation.h>
#include <blaze/math/expressions/DVecTransposer.h>
#include <blaze/math/expressions/Forward.h>
#include <blaze/math/expressions/SparseVector.h>
#include <blaze/math/expressions/SVecTransposer.h>
#include <blaze/math/expressions/VecTransExpr.h>
#include <blaze/math/traits/SubvectorExprTrait.h>
#include <blaze/math/traits/SVecTransExprTrait.h>
#include <blaze/math/traits/TransExprTrait.h>
#include <blaze/math/traits/TSVecTransExprTrait.h>
#include <blaze/math/typetraits/IsColumnVector.h>
#include <blaze/math/typetraits/IsExpression.h>
#include <blaze/math/typetraits/IsRowVector.h>
#include <blaze/math/typetraits/IsSparseVector.h>
#include <blaze/math/typetraits/RequiresEvaluation.h>
#include <blaze/math/typetraits/Size.h>
#include <blaze/util/Assert.h>
#include <blaze/util/EmptyType.h>
#include <blaze/util/EnableIf.h>
#include <blaze/util/InvalidType.h>
#include <blaze/util/logging/FunctionTrace.h>
#include <blaze/util/mpl/And.h>
#include <blaze/util/mpl/If.h>
#include <blaze/util/Types.h>
#include <blaze/util/typetraits/RemoveReference.h>


namespace blaze {

//=================================================================================================
//
//  CLASS SVECTRANSEXPR
//
//=================================================================================================

//*************************************************************************************************
/*!\brief Expression object for sparse vector transpositions.
// \ingroup sparse_vector_expression
//
// The SVecTransExpr class represents the compile time expression for transpositions of
// sparse vectors.
*/
template< typename VT  // Type of the sparse vector
        , bool TF >    // Transpose flag
class SVecTransExpr : public SparseVector< SVecTransExpr<VT,TF>, TF >
                    , private VecTransExpr
                    , private If< IsComputation<VT>, Computation, EmptyType >::Type
{
 private:
   //**Type definitions****************************************************************************
   typedef CompositeType_<VT>  CT;  //!< Composite type of the sparse vector expression.
   //**********************************************************************************************

   //**Serial evaluation strategy******************************************************************
   //! Compilation switch for the serial evaluation strategy of the transposition expression.
   /*! The \a useAssign compile time constant expression represents a compilation switch for
       the serial evaluation strategy of the transposition expression. In case the given sparse
       vector expression of type \a VT requires an intermediate evaluation, \a useAssign will be
       set to 1 and the transposition expression will be evaluated via the \a assign function
       family. Otherwise \a useAssign will be set to 0 and the expression will be evaluated via
       the subscript operator. */
   enum : bool { useAssign = RequiresEvaluation<VT>::value };

   /*! \cond BLAZE_INTERNAL */
   //! Helper structure for the explicit application of the SFINAE principle.
   template< typename VT2 >
   struct UseAssign {
      enum : bool { value = useAssign };
   };
   /*! \endcond */
   //**********************************************************************************************

   //**Parallel evaluation strategy****************************************************************
   /*! \cond BLAZE_INTERNAL */
   //! Helper structure for the explicit application of the SFINAE principle.
   /*! The UseSMPAssign struct is a helper struct for the selection of the parallel evaluation
       strategy. In case the target vector is SMP assignable and the sparse vector operand requires
       an intermediate evaluation, \a value is set to 1 and the expression specific evaluation
       strategy is selected. Otherwise \a value is set to 0 and the default strategy is chosen. */
   template< typename VT2 >
   struct UseSMPAssign {
      enum : bool { value = VT2::smpAssignable && useAssign };
   };
   /*! \endcond */
   //**********************************************************************************************

 public:
   //**Type definitions****************************************************************************
   typedef SVecTransExpr<VT,TF>  This;           //!< Type of this SVecTransExpr instance.
   typedef TransposeType_<VT>    ResultType;     //!< Result type for expression template evaluations.
   typedef ResultType_<VT>       TransposeType;  //!< Transpose type for expression template evaluations.
   typedef ElementType_<VT>      ElementType;    //!< Resulting element type.
   typedef ReturnType_<VT>       ReturnType;     //!< Return type for expression template evaluations.

   //! Data type for composite expression templates.
   typedef IfTrue_< useAssign, const ResultType, const SVecTransExpr& >  CompositeType;

   //! Composite data type of the sparse vector expression.
   typedef If_< IsExpression<VT>, const VT, const VT& >  Operand;
   //**********************************************************************************************

   //**Compilation flags***************************************************************************
   //! Compilation switch for the expression template assignment strategy.
   enum : bool { smpAssignable = VT::smpAssignable };
   //**********************************************************************************************

   //**ConstIterator class definition**************************************************************
   /*!\brief Iterator over the elements of the sparse vector absolute value expression.
   */
   class ConstIterator
   {
    public:
      //**Type definitions*************************************************************************
      //! Iterator type of the sparse vector expression.
      typedef ConstIterator_< RemoveReference_<Operand> >  IteratorType;

      typedef std::forward_iterator_tag                                     IteratorCategory;  //!< The iterator category.
      typedef typename std::iterator_traits<IteratorType>::value_type       ValueType;         //!< Type of the underlying pointers.
      typedef typename std::iterator_traits<IteratorType>::pointer          PointerType;       //!< Pointer return type.
      typedef typename std::iterator_traits<IteratorType>::reference        ReferenceType;     //!< Reference return type.
      typedef typename std::iterator_traits<IteratorType>::difference_type  DifferenceType;    //!< Difference between two iterators.

      // STL iterator requirements
      typedef IteratorCategory  iterator_category;  //!< The iterator category.
      typedef ValueType         value_type;         //!< Type of the underlying pointers.
      typedef PointerType       pointer;            //!< Pointer return type.
      typedef ReferenceType     reference;          //!< Reference return type.
      typedef DifferenceType    difference_type;    //!< Difference between two iterators.
      //*******************************************************************************************

      //**Constructor******************************************************************************
      /*!\brief Constructor for the ConstIterator class.
      */
      inline ConstIterator( IteratorType it )
         : it_( it )  // Iterator over the elements of the sparse vector expression
      {}
      //*******************************************************************************************

      //**Prefix increment operator****************************************************************
      /*!\brief Pre-increment operator.
      //
      // \return Reference to the incremented expression iterator.
      */
      inline ConstIterator& operator++() {
         ++it_;
         return *this;
      }
      //*******************************************************************************************

      //**Element access operator******************************************************************
      /*!\brief Direct access to the sparse vector element at the current iterator position.
      //
      // \return The current value of the sparse element.
      */
      inline const ValueType operator*() const {
         return *it_;
      }
      //*******************************************************************************************

      //**Element access operator******************************************************************
      /*!\brief Direct access to the sparse vector element at the current iterator position.
      //
      // \return Reference to the sparse vector element at the current iterator position.
      */
      inline const ConstIterator* operator->() const {
         return this;
      }
      //*******************************************************************************************

      //**Value function***************************************************************************
      /*!\brief Access to the current value of the sparse element.
      //
      // \return The current value of the sparse element.
      */
      inline ReturnType value() const {
         return it_->value();
      }
      //*******************************************************************************************

      //**Index function***************************************************************************
      /*!\brief Access to the current index of the sparse element.
      //
      // \return The current index of the sparse element.
      */
      inline size_t index() const {
         return it_->index();
      }
      //*******************************************************************************************

      //**Equality operator************************************************************************
      /*!\brief Equality comparison between two ConstIterator objects.
      //
      // \param rhs The right-hand side expression iterator.
      // \return \a true if the iterators refer to the same element, \a false if not.
      */
      inline bool operator==( const ConstIterator& rhs ) const {
         return it_ == rhs.it_;
      }
      //*******************************************************************************************

      //**Inequality operator**********************************************************************
      /*!\brief Inequality comparison between two ConstIterator objects.
      //
      // \param rhs The right-hand side expression iterator.
      // \return \a true if the iterators don't refer to the same element, \a false if they do.
      */
      inline bool operator!=( const ConstIterator& rhs ) const {
         return it_ != rhs.it_;
      }
      //*******************************************************************************************

      //**Subtraction operator*********************************************************************
      /*!\brief Calculating the number of elements between two expression iterators.
      //
      // \param rhs The right-hand side expression iterator.
      // \return The number of elements between the two expression iterators.
      */
      inline DifferenceType operator-( const ConstIterator& rhs ) const {
         return it_ - rhs.it_;
      }
      //*******************************************************************************************

    private:
      //**Member variables*************************************************************************
      IteratorType it_;  //!< Iterator over the elements of the sparse vector expression.
      //*******************************************************************************************
   };
   //**********************************************************************************************

   //**Constructor*********************************************************************************
   /*!\brief Constructor for the SVecTransExpr class.
   //
   // \param sv The sparse vector operand of the transposition expression.
   */
   explicit inline SVecTransExpr( const VT& sv ) noexcept
      : sv_( sv )  // Sparse vector of the transposition expression
   {}
   //**********************************************************************************************

   //**Subscript operator**************************************************************************
   /*!\brief Subscript operator for the direct access to the vector elements.
   //
   // \param index Access index. The index has to be in the range \f$[0..N-1]\f$.
   // \return The resulting value.
   */
   inline ReturnType operator[]( size_t index ) const {
      BLAZE_INTERNAL_ASSERT( index < sv_.size(), "Invalid vector access index" );
      return sv_[index];
   }
   //**********************************************************************************************

   //**At function*********************************************************************************
   /*!\brief Checked access to the vector elements.
   //
   // \param index Access index. The index has to be in the range \f$[0..N-1]\f$.
   // \return The resulting value.
   // \exception std::out_of_range Invalid vector access index.
   */
   inline ReturnType at( size_t index ) const {
      if( index >= sv_.size() ) {
         BLAZE_THROW_OUT_OF_RANGE( "Invalid vector access index" );
      }
      return (*this)[index];
   }
   //**********************************************************************************************

   //**Begin function******************************************************************************
   /*!\brief Returns an iterator to the first non-zero element of the sparse vector.
   //
   // \return Iterator to the first non-zero element of the sparse vector.
   */
   inline ConstIterator begin() const {
      return ConstIterator( sv_.begin() );
   }
   //**********************************************************************************************

   //**End function********************************************************************************
   /*!\brief Returns an iterator just past the last non-zero element of the sparse vector.
   //
   // \return Iterator just past the last non-zero element of the sparse vector.
   */
   inline ConstIterator end() const {
      return ConstIterator( sv_.end() );
   }
   //**********************************************************************************************

   //**Size function*******************************************************************************
   /*!\brief Returns the current size/dimension of the vector.
   //
   // \return The size of the vector.
   */
   inline size_t size() const noexcept {
      return sv_.size();
   }
   //**********************************************************************************************

   //**NonZeros function***************************************************************************
   /*!\brief Returns the number of non-zero elements in the sparse vector.
   //
   // \return The number of non-zero elements in the sparse vector.
   */
   inline size_t nonZeros() const {
      return sv_.nonZeros();
   }
   //**********************************************************************************************

   //**Find function*******************************************************************************
   /*!\brief Searches for a specific vector element.
   //
   // \param index The index of the search element.
   // \return Iterator to the element in case the index is found, end() iterator otherwise.
   */
   inline ConstIterator find( size_t index ) const {
      BLAZE_CONSTRAINT_MUST_NOT_REQUIRE_EVALUATION( VT );
      return ConstIterator( sv_.find( index ) );
   }
   //**********************************************************************************************

   //**LowerBound function*************************************************************************
   /*!\brief Returns an iterator to the first index not less then the given index.
   //
   // \param index The index of the search element.
   // \return Iterator to the first index not less then the given index, end() iterator otherwise.
   */
   inline ConstIterator lowerBound( size_t index ) const {
      BLAZE_CONSTRAINT_MUST_NOT_REQUIRE_EVALUATION( VT );
      return ConstIterator( sv_.lowerBound( index ) );
   }
   //**********************************************************************************************

   //**UpperBound function*************************************************************************
   /*!\brief Returns an iterator to the first index greater then the given index.
   //
   // \param index The index of the search element.
   // \return Iterator to the first index greater then the given index, end() iterator otherwise.
   */
   inline ConstIterator upperBound( size_t index ) const {
      BLAZE_CONSTRAINT_MUST_NOT_REQUIRE_EVALUATION( VT );
      return ConstIterator( sv_.upperBound( index ) );
   }
   //**********************************************************************************************

   //**Operand access******************************************************************************
   /*!\brief Returns the sparse vector operand.
   //
   // \return The sparse vector operand.
   */
   inline Operand operand() const noexcept {
      return sv_;
   }
   //**********************************************************************************************

   //**********************************************************************************************
   /*!\brief Returns whether the expression can alias with the given address \a alias.
   //
   // \param alias The alias to be checked.
   // \return \a true in case the expression can alias, \a false otherwise.
   */
   template< typename T >
   inline bool canAlias( const T* alias ) const noexcept {
      return sv_.canAlias( alias );
   }
   //**********************************************************************************************

   //**********************************************************************************************
   /*!\brief Returns whether the expression is aliased with the given address \a alias.
   //
   // \param alias The alias to be checked.
   // \return \a true in case an alias effect is detected, \a false otherwise.
   */
   template< typename T >
   inline bool isAliased( const T* alias ) const noexcept {
      return sv_.isAliased( alias );
   }
   //**********************************************************************************************

   //**********************************************************************************************
   /*!\brief Returns whether the expression can be used in SMP assignments.
   //
   // \return \a true in case the expression can be used in SMP assignments, \a false if not.
   */
   inline bool canSMPAssign() const noexcept {
      return sv_.canSMPAssign();
   }
   //**********************************************************************************************

 private:
   //**Member variables****************************************************************************
   Operand sv_;  //!< Sparse vector of the transposition expression.
   //**********************************************************************************************

   //**Assignment to dense vectors*****************************************************************
   /*! \cond BLAZE_INTERNAL */
   /*!\brief Assignment of a sparse vector transposition expression to a dense vector.
   // \ingroup sparse_vector
   //
   // \param lhs The target left-hand side dense vector.
   // \param rhs The right-hand side transposition expression to be assigned.
   // \return void
   //
   // This function implements the performance optimized assignment of a sparse vector
   // transposition expression to a dense vector. Due to the explicit application of
   // the SFINAE principle, this function can only be selected by the compiler in case
   // the operand requires an intermediate evaluation.
   */
   template< typename VT2 >  // Type of the target dense vector
   friend inline EnableIf_< UseAssign<VT2> >
      assign( DenseVector<VT2,TF>& lhs, const SVecTransExpr& rhs )
   {
      BLAZE_FUNCTION_TRACE;

      BLAZE_INTERNAL_ASSERT( (~lhs).size() == rhs.size(), "Invalid vector sizes" );

      DVecTransposer<VT2,!TF> tmp( ~lhs );
      assign( tmp, rhs.sv_ );
   }
   /*! \endcond */
   //**********************************************************************************************

   //**Assignment to sparse vectors****************************************************************
   /*! \cond BLAZE_INTERNAL */
   /*!\brief Assignment of a sparse vector transposition expression to a sparse vector.
   // \ingroup sparse_vector
   //
   // \param lhs The target left-hand side sparse vector.
   // \param rhs The right-hand side transposition expression to be assigned.
   // \return void
   //
   // This function implements the performance optimized assignment of a sparse vector
   // transposition expression to a sparse vector. Due to the explicit application of
   // the SFINAE principle, this function can only be selected by the compiler in case
   // the operand requires an intermediate evaluation.
   */
   template< typename VT2 >  // Type of the target sparse vector
   friend inline EnableIf_< UseAssign<VT2> >
      assign( SparseVector<VT2,TF>& lhs, const SVecTransExpr& rhs )
   {
      BLAZE_FUNCTION_TRACE;

      BLAZE_INTERNAL_ASSERT( (~lhs).size() == rhs.size(), "Invalid vector sizes" );

      SVecTransposer<VT2,!TF> tmp( ~lhs );
      assign( tmp, rhs.sv_ );
   }
   /*! \endcond */
   //**********************************************************************************************

   //**Addition assignment to dense vectors********************************************************
   /*! \cond BLAZE_INTERNAL */
   /*!\brief Addition assignment of a sparse vector transposition expression to a dense vector.
   // \ingroup sparse_vector
   //
   // \param lhs The target left-hand side dense vector.
   // \param rhs The right-hand side transposition expression to be added.
   // \return void
   //
   // This function implements the performance optimized addition assignment of a sparse
   // vector transposition expression to a dense vector. Due to the explicit application
   // of the SFINAE principle, this function can only be selected by the compiler in case
   // the operand requires an intermediate evaluation.
   */
   template< typename VT2 >  // Type of the target dense vector
   friend inline EnableIf_< UseAssign<VT2> >
      addAssign( DenseVector<VT2,TF>& lhs, const SVecTransExpr& rhs )
   {
      BLAZE_FUNCTION_TRACE;

      BLAZE_INTERNAL_ASSERT( (~lhs).size() == rhs.size(), "Invalid vector sizes" );

      DVecTransposer<VT2,!TF> tmp( ~lhs );
      addAssign( tmp, rhs.sv_ );
   }
   /*! \endcond */
   //**********************************************************************************************

   //**Addition assignment to sparse vectors*******************************************************
   // No special implementation for the addition assignment to sparse vectors.
   //**********************************************************************************************

   //**Subtraction assignment to dense vectors*****************************************************
   /*! \cond BLAZE_INTERNAL */
   /*!\brief Subtraction assignment of a sparse vector transposition expression to a dense vector.
   // \ingroup sparse_vector
   //
   // \param lhs The target left-hand side dense vector.
   // \param rhs The right-hand side transposition expression to be subtracted.
   // \return void
   //
   // This function implements the performance optimized subtraction assignment of a sparse
   // vector transposition expression to a dense vector. Due to the explicit application of
   // the SFINAE principle, this function can only be selected by the compiler in case the
   // operand requires an intermediate evaluation.
   */
   template< typename VT2 >  // Type of the target dense vector
   friend inline EnableIf_< UseAssign<VT2> >
      subAssign( DenseVector<VT2,TF>& lhs, const SVecTransExpr& rhs )
   {
      BLAZE_FUNCTION_TRACE;

      BLAZE_INTERNAL_ASSERT( (~lhs).size() == rhs.size(), "Invalid vector sizes" );

      DVecTransposer<VT2,!TF> tmp( ~lhs );
      subAssign( tmp, rhs.sv_ );
   }
   /*! \endcond */
   //**********************************************************************************************

   //**Subtraction assignment to sparse vectors****************************************************
   // No special implementation for the subtraction assignment to sparse vectors.
   //**********************************************************************************************

   //**Multiplication assignment to dense vectors**************************************************
   /*! \cond BLAZE_INTERNAL */
   /*!\brief Multiplication assignment of a sparse vector transposition expression to a dense vector.
   // \ingroup sparse_vector
   //
   // \param lhs The target left-hand side dense vector.
   // \param rhs The right-hand side transposition expression to be multiplied.
   // \return void
   //
   // This function implements the performance optimized multiplication assignment of a sparse
   // vector transposition expression to a dense vector. Due to the explicit application of the
   // SFINAE principle, this function can only be selected by the compiler in case the operand
   // requires an intermediate evaluation.
   */
   template< typename VT2 >  // Type of the target dense vector
   friend inline EnableIf_< UseAssign<VT2> >
      multAssign( DenseVector<VT2,TF>& lhs, const SVecTransExpr& rhs )
   {
      BLAZE_FUNCTION_TRACE;

      BLAZE_INTERNAL_ASSERT( (~lhs).size() == rhs.size(), "Invalid vector sizes" );

      DVecTransposer<VT2,!TF> tmp( ~lhs );
      multAssign( tmp, rhs.sv_ );
   }
   /*! \endcond */
   //**********************************************************************************************

   //**Multiplication assignment to sparse vectors*************************************************
   // No special implementation for the multiplication assignment to sparse vectors.
   //**********************************************************************************************

   //**SMP assignment to dense vectors*************************************************************
   /*! \cond BLAZE_INTERNAL */
   /*!\brief SMP assignment of a sparse vector transposition expression to a dense vector.
   // \ingroup sparse_vector
   //
   // \param lhs The target left-hand side dense vector.
   // \param rhs The right-hand side transposition expression to be assigned.
   // \return void
   //
   // This function implements the performance optimized SMP assignment of a sparse vector
   // transposition expression to a dense vector. Due to the explicit application of the
   // SFINAE principle, this function can only be selected by the compiler in case the
   // expression specific parallel evaluation strategy is selected.
   */
   template< typename VT2 >  // Type of the target dense vector
   friend inline EnableIf_< UseSMPAssign<VT2> >
      smpAssign( DenseVector<VT2,TF>& lhs, const SVecTransExpr& rhs )
   {
      BLAZE_FUNCTION_TRACE;

      BLAZE_INTERNAL_ASSERT( (~lhs).size() == rhs.size(), "Invalid vector sizes" );

      DVecTransposer<VT2,!TF> tmp( ~lhs );
      smpAssign( tmp, rhs.sv_ );
   }
   /*! \endcond */
   //**********************************************************************************************

   //**SMP assignment to sparse vectors************************************************************
   /*! \cond BLAZE_INTERNAL */
   /*!\brief SMP assignment of a sparse vector transposition expression to a sparse vector.
   // \ingroup sparse_vector
   //
   // \param lhs The target left-hand side sparse vector.
   // \param rhs The right-hand side transposition expression to be assigned.
   // \return void
   //
   // This function implements the performance optimized SMP assignment of a sparse vector
   // transposition expression to a sparse vector. Due to the explicit application of the
   // SFINAE principle, this function can only be selected by the compiler in case the
   // expression specific parallel evaluation strategy is selected.
   */
   template< typename VT2 >  // Type of the target sparse vector
   friend inline EnableIf_< UseSMPAssign<VT2> >
      smpAssign( SparseVector<VT2,TF>& lhs, const SVecTransExpr& rhs )
   {
      BLAZE_FUNCTION_TRACE;

      BLAZE_INTERNAL_ASSERT( (~lhs).size() == rhs.size(), "Invalid vector sizes" );

      SVecTransposer<VT2,!TF> tmp( ~lhs );
      smpAssign( tmp, rhs.sv_ );
   }
   /*! \endcond */
   //**********************************************************************************************

   //**SMP addition assignment to dense vectors****************************************************
   /*! \cond BLAZE_INTERNAL */
   /*!\brief SMP addition assignment of a sparse vector transposition expression to a dense vector.
   // \ingroup sparse_vector
   //
   // \param lhs The target left-hand side dense vector.
   // \param rhs The right-hand side transposition expression to be added.
   // \return void
   //
   // This function implements the performance optimized SMP addition assignment of a sparse
   // vector transposition expression to a dense vector. Due to the explicit application of
   // the SFINAE principle, this function can only be selected by the compiler in case the
   // expression specific parallel evaluation strategy is selected.
   */
   template< typename VT2 >  // Type of the target dense vector
   friend inline EnableIf_< UseSMPAssign<VT2> >
      smpAddAssign( DenseVector<VT2,TF>& lhs, const SVecTransExpr& rhs )
   {
      BLAZE_FUNCTION_TRACE;

      BLAZE_INTERNAL_ASSERT( (~lhs).size() == rhs.size(), "Invalid vector sizes" );

      DVecTransposer<VT2,!TF> tmp( ~lhs );
      smpAddAssign( tmp, rhs.sv_ );
   }
   /*! \endcond */
   //**********************************************************************************************

   //**SMP addition assignment to sparse vectors***************************************************
   // No special implementation for the SMP addition assignment to sparse vectors.
   //**********************************************************************************************

   //**SMP subtraction assignment to dense vectors*************************************************
   /*! \cond BLAZE_INTERNAL */
   /*!\brief SMP subtraction assignment of a sparse vector transposition expression to a dense vector.
   // \ingroup sparse_vector
   //
   // \param lhs The target left-hand side dense vector.
   // \param rhs The right-hand side transposition expression to be subtracted.
   // \return void
   //
   // This function implements the performance optimized SMP subtraction assignment of a sparse
   // vector transposition expression to a dense vector. Due to the explicit application of the
   // SFINAE principle, this function can only be selected by the compiler in case the expression
   // specific parallel evaluation strategy is selected.
   */
   template< typename VT2 >  // Type of the target dense vector
   friend inline EnableIf_< UseSMPAssign<VT2> >
      smpSubAssign( DenseVector<VT2,TF>& lhs, const SVecTransExpr& rhs )
   {
      BLAZE_FUNCTION_TRACE;

      BLAZE_INTERNAL_ASSERT( (~lhs).size() == rhs.size(), "Invalid vector sizes" );

      DVecTransposer<VT2,!TF> tmp( ~lhs );
      smpSubAssign( tmp, rhs.sv_ );
   }
   /*! \endcond */
   //**********************************************************************************************

   //**SMP subtraction assignment to sparse vectors************************************************
   // No special implementation for the SMP subtraction assignment to sparse vectors.
   //**********************************************************************************************

   //**SMP multiplication assignment to dense vectors**********************************************
   /*! \cond BLAZE_INTERNAL */
   /*!\brief SMP multiplication assignment of a sparse vector transposition expression to a dense
   //        vector.
   // \ingroup sparse_vector
   //
   // \param lhs The target left-hand side dense vector.
   // \param rhs The right-hand side transposition expression to be multiplied.
   // \return void
   //
   // This function implements the performance optimized SMP multiplication assignment of a sparse
   // vector transposition expression to a dense vector. Due to the explicit application of the
   // SFINAE principle, this function can only be selected by the compiler in case the expression
   // specific parallel evaluation strategy is selected.
   */
   template< typename VT2 >  // Type of the target dense vector
   friend inline EnableIf_< UseSMPAssign<VT2> >
      smpMultAssign( DenseVector<VT2,TF>& lhs, const SVecTransExpr& rhs )
   {
      BLAZE_FUNCTION_TRACE;

      BLAZE_INTERNAL_ASSERT( (~lhs).size() == rhs.size(), "Invalid vector sizes" );

      DVecTransposer<VT2,!TF> tmp( ~lhs );
      smpMultAssign( tmp, rhs.sv_ );
   }
   /*! \endcond */
   //**********************************************************************************************

   //**SMP multiplication assignment to sparse vectors*********************************************
   // No special implementation for the SMP multiplication assignment to sparse vectors.
   //**********************************************************************************************

   //**Compile time checks*************************************************************************
   /*! \cond BLAZE_INTERNAL */
   BLAZE_CONSTRAINT_MUST_BE_SPARSE_VECTOR_TYPE( VT );
   /*! \endcond */
   //**********************************************************************************************
};
//*************************************************************************************************




//=================================================================================================
//
//  GLOBAL OPERATORS
//
//=================================================================================================

//*************************************************************************************************
/*!\brief Calculation of the transpose of the given sparse vector.
// \ingroup sparse_vector
//
// \param sv The sparse vector to be transposed.
// \return The transpose of the sparse vector.
//
// This function returns an expression representing the transpose of the given sparse vector:

   \code
   using blaze::columnVector;
   using blaze::rowVector;

   blaze::CompressedVector<double,columnVector> a;
   blaze::CompressedVector<double,rowVector> b;
   // ... Resizing and initialization
   b = trans( a );
   \endcode
*/
template< typename VT  // Type of the sparse vector
        , bool TF >    // Transpose flag
inline const SVecTransExpr<VT,!TF> trans( const SparseVector<VT,TF>& sv )
{
   BLAZE_FUNCTION_TRACE;

   return SVecTransExpr<VT,!TF>( ~sv );
}
//*************************************************************************************************




//=================================================================================================
//
//  GLOBAL RESTRUCTURING FUNCTIONS
//
//=================================================================================================

//*************************************************************************************************
/*! \cond BLAZE_INTERNAL */
/*!\brief Calculating the transpose of a transpose sparse vector.
// \ingroup sparse_vector
//
// \param sv The sparse vector to be (re-)transposed.
// \return The transpose of the transpose vector.
//
// This function implements a performance optimized treatment of the transpose operation on a
// sparse vector transpose expression. It returns an expression representing the transpose of a
// transpose sparse vector:

   \code
   using blaze::columnVector;

   blaze::CompressedVector<double,columnVector> a, b;
   // ... Resizing and initialization
   b = trans( trans( a ) );
   \endcode
*/
template< typename VT  // Type of the sparse vector
        , bool TF >    // Transpose flag
inline typename SVecTransExpr<VT,TF>::Operand trans( const SVecTransExpr<VT,TF>& sv )
{
   BLAZE_FUNCTION_TRACE;

   return sv.operand();
}
/*! \endcond */
//*************************************************************************************************




//=================================================================================================
//
//  SIZE SPECIALIZATIONS
//
//=================================================================================================

//*************************************************************************************************
/*! \cond BLAZE_INTERNAL */
template< typename VT, bool TF >
struct Size< SVecTransExpr<VT,TF> > : public Size<VT>
{};
/*! \endcond */
//*************************************************************************************************




//=================================================================================================
//
//  EXPRESSION TRAIT SPECIALIZATIONS
//
//=================================================================================================

//*************************************************************************************************
/*! \cond BLAZE_INTERNAL */
template< typename VT >
struct SVecTransExprTrait< SVecTransExpr<VT,false> >
{
 public:
   //**********************************************************************************************
   using Type = If_< And< IsSparseVector<VT>, IsRowVector<VT> >
                   , Operand_< SVecTransExpr<VT,false> >
                   , INVALID_TYPE >;
   //**********************************************************************************************
};
/*! \endcond */
//*************************************************************************************************


//*************************************************************************************************
/*! \cond BLAZE_INTERNAL */
template< typename VT >
struct TSVecTransExprTrait< SVecTransExpr<VT,true> >
{
 public:
   //**********************************************************************************************
   using Type = If_< And< IsSparseVector<VT>, IsColumnVector<VT> >
                   , Operand_< SVecTransExpr<VT,true> >
                   , INVALID_TYPE >;
   //**********************************************************************************************
};
/*! \endcond */
//*************************************************************************************************


//*************************************************************************************************
/*! \cond BLAZE_INTERNAL */
template< typename VT, bool TF, bool AF >
struct SubvectorExprTrait< SVecTransExpr<VT,TF>, AF >
{
 public:
   //**********************************************************************************************
   using Type = TransExprTrait_< SubvectorExprTrait_<const VT,AF> >;
   //**********************************************************************************************
};
/*! \endcond */
//*************************************************************************************************

} // namespace blaze

#endif