Added SparseMatrix to be implemented using the Segments.

src/TNL/Matrices/SparseMatrix.h

+/***************************************************************************
+                          SparseMatrix.h -  description
+                             -------------------
+    begin                : Nov 29, 2019
+    copyright            : (C) 2019 by Tomas Oberhuber
+    email                : tomas.oberhuber@fjfi.cvut.cz
+ ***************************************************************************/
+
+/* See Copyright Notice in tnl/Copyright */
+
+#pragma once
+
+namespace TNL {
+namespace Matrices {
+
+template< typename Real,
+          typename Organization >
+class SparseMatrix : public Matrix< Real, typename Organization::Device, typename Organization::Index >
+{
+   public:
+
+      using RealType = Real;
+      using OrganizationType = Organization;
+      using DeviceType = typename Organization::DeviceType;
+      using IndexType = typename Organization::IndexType;
+
+      static String getSerializationType();
+
+      virtual String getSerializationTypeVirtual() const;
+
+      void setDimensions( const IndexType rows,
+                          const IndexType columns );
+
+      void setCompressedRowLengths( ConstCompressedRowLengthsVectorView rowLengths );
+
+      IndexType getRowLength( const IndexType row ) const;
+
+      __cuda_callable__
+      IndexType getRowLengthFast( const IndexType row ) const;
+
+      IndexType getNonZeroRowLength( const IndexType row ) const;
+
+      __cuda_callable__
+      IndexType getNonZeroRowLengthFast( const IndexType row ) const;
+
+      template< typename Real2, typename Device2, typename Index2 >
+      void setLike( const CSR< Real2, Device2, Index2 >& matrix );
+
+      void reset();
+
+      __cuda_callable__
+      bool setElementFast( const IndexType row,
+                           const IndexType column,
+                           const RealType& value );
+
+      bool setElement( const IndexType row,
+                       const IndexType column,
+                       const RealType& value );
+      __cuda_callable__
+      bool addElementFast( const IndexType row,
+                           const IndexType column,
+                           const RealType& value,
+                           const RealType& thisElementMultiplicator = 1.0 );
+
+      bool addElement( const IndexType row,
+                       const IndexType column,
+                       const RealType& value,
+                       const RealType& thisElementMultiplicator = 1.0 );
+
+
+      __cuda_callable__
+      bool setRowFast( const IndexType row,
+                       const IndexType* columnIndexes,
+                       const RealType* values,
+                       const IndexType elements );
+
+      bool setRow( const IndexType row,
+                   const IndexType* columnIndexes,
+                   const RealType* values,
+                   const IndexType elements );
+
+
+      __cuda_callable__
+      bool addRowFast( const IndexType row,
+                       const IndexType* columns,
+                       const RealType* values,
+                       const IndexType numberOfElements,
+                       const RealType& thisElementMultiplicator = 1.0 );
+
+      bool addRow( const IndexType row,
+                   const IndexType* columns,
+                   const RealType* values,
+                   const IndexType numberOfElements,
+                   const RealType& thisElementMultiplicator = 1.0 );
+
+
+      __cuda_callable__
+      RealType getElementFast( const IndexType row,
+                               const IndexType column ) const;
+
+      RealType getElement( const IndexType row,
+                           const IndexType column ) const;
+
+      __cuda_callable__
+      void getRowFast( const IndexType row,
+                       IndexType* columns,
+                       RealType* values ) const;
+
+      __cuda_callable__
+      MatrixRow getRow( const IndexType rowIndex );
+
+      __cuda_callable__
+      ConstMatrixRow getRow( const IndexType rowIndex ) const;
+
+      template< typename Vector >
+      __cuda_callable__
+      typename Vector::RealType rowVectorProduct( const IndexType row,
+                                                  const Vector& vector ) const;
+
+      template< typename InVector,
+                typename OutVector >
+      void vectorProduct( const InVector& inVector,
+                          OutVector& outVector ) const;
+      // TODO: add const RealType& multiplicator = 1.0 )
+
+      template< typename Real2, typename Index2 >
+      void addMatrix( const CSR< Real2, Device, Index2 >& matrix,
+                      const RealType& matrixMultiplicator = 1.0,
+                      const RealType& thisMatrixMultiplicator = 1.0 );
+
+      template< typename Real2, typename Index2 >
+      void getTransposition( const CSR< Real2, Device, Index2 >& matrix,
+                             const RealType& matrixMultiplicator = 1.0 );
+
+      template< typename Vector1, typename Vector2 >
+      bool performSORIteration( const Vector1& b,
+                                const IndexType row,
+                                Vector2& x,
+                                const RealType& omega = 1.0 ) const;
+
+      // copy assignment
+      CSR& operator=( const CSR& matrix );
+
+      // cross-device copy assignment
+      template< typename Real2, typename Device2, typename Index2,
+                typename = typename Enabler< Device2 >::type >
+      CSR& operator=( const CSR< Real2, Device2, Index2 >& matrix );
+
+      void save( File& file ) const;
+
+      void load( File& file );
+
+      void save( const String& fileName ) const;
+
+      void load( const String& fileName );
+
+      void print( std::ostream& str ) const;
+
+
+};
+
+}  // namespace Conatiners
+} // namespace TNL
\ No newline at end of file

src/TNL/Matrices/SparseMatrix.hpp

+/***************************************************************************
+                          SparseMatrix.h -  description
+                             -------------------
+    begin                : Nov 29, 2019
+    copyright            : (C) 2019 by Tomas Oberhuber
+    email                : tomas.oberhuber@fjfi.cvut.cz
+ ***************************************************************************/
+
+/* See Copyright Notice in tnl/Copyright */
+
+#pragma once
+
+namespace TNL {
+namespace Matrices {
+
+template< typename Real,
+          typename Organization >
+static String getSerializationType();
+
+template< typename Real,
+          typename Organization >
+String getSerializationTypeVirtual() const;
+
+template< typename Real,
+          typename Organization >
+void setDimensions( const IndexType rows,
+                 const IndexType columns );
+
+template< typename Real,
+          typename Organization >
+void setCompressedRowLengths( ConstCompressedRowLengthsVectorView rowLengths );
+
+template< typename Real,
+          typename Organization >
+IndexType getRowLength( const IndexType row ) const;
+
+template< typename Real,
+          typename Organization >
+__cuda_callable__
+IndexType getRowLengthFast( const IndexType row ) const;
+
+template< typename Real,
+          typename Organization >
+IndexType getNonZeroRowLength( const IndexType row ) const;
+
+template< typename Real,
+          typename Organization >
+__cuda_callable__
+IndexType getNonZeroRowLengthFast( const IndexType row ) const;
+
+template< typename Real,
+          typename Organization >
+template< typename Real2, typename Device2, typename Index2 >
+void setLike( const CSR< Real2, Device2, Index2 >& matrix );
+
+template< typename Real,
+          typename Organization >
+void reset();
+
+template< typename Real,
+          typename Organization >
+__cuda_callable__
+bool setElementFast( const IndexType row,
+                  const IndexType column,
+                  const RealType& value );
+
+template< typename Real,
+          typename Organization >
+bool setElement( const IndexType row,
+              const IndexType column,
+              const RealType& value );
+
+template< typename Real,
+          typename Organization >
+__cuda_callable__
+bool addElementFast( const IndexType row,
+                  const IndexType column,
+                  const RealType& value,
+                  const RealType& thisElementMultiplicator = 1.0 );
+
+template< typename Real,
+          typename Organization >
+bool addElement( const IndexType row,
+              const IndexType column,
+              const RealType& value,
+              const RealType& thisElementMultiplicator = 1.0 );
+
+
+template< typename Real,
+          typename Organization >
+__cuda_callable__
+bool setRowFast( const IndexType row,
+              const IndexType* columnIndexes,
+              const RealType* values,
+              const IndexType elements );
+
+template< typename Real,
+          typename Organization >
+bool setRow( const IndexType row,
+          const IndexType* columnIndexes,
+          const RealType* values,
+          const IndexType elements );
+
+
+template< typename Real,
+          typename Organization >
+__cuda_callable__
+bool addRowFast( const IndexType row,
+              const IndexType* columns,
+              const RealType* values,
+              const IndexType numberOfElements,
+              const RealType& thisElementMultiplicator = 1.0 );
+
+template< typename Real,
+          typename Organization >
+bool addRow( const IndexType row,
+          const IndexType* columns,
+          const RealType* values,
+          const IndexType numberOfElements,
+          const RealType& thisElementMultiplicator = 1.0 );
+
+
+template< typename Real,
+          typename Organization >
+__cuda_callable__
+RealType getElementFast( const IndexType row,
+                      const IndexType column ) const;
+
+template< typename Real,
+          typename Organization >
+RealType getElement( const IndexType row,
+                  const IndexType column ) const;
+
+__cuda_callable__
+template< typename Real,
+          typename Organization >
+void getRowFast( const IndexType row,
+              IndexType* columns,
+              RealType* values ) const;
+
+template< typename Real,
+          typename Organization >
+__cuda_callable__
+MatrixRow getRow( const IndexType rowIndex );
+
+template< typename Real,
+          typename Organization >
+__cuda_callable__
+ConstMatrixRow getRow( const IndexType rowIndex ) const;
+
+template< typename Real,
+          typename Organization >
+template< typename Vector >
+__cuda_callable__
+typename Vector::RealType rowVectorProduct( const IndexType row,
+                                         const Vector& vector ) const;
+
+template< typename Real,
+          typename Organization >
+template< typename InVector,
+       typename OutVector >
+void vectorProduct( const InVector& inVector,
+                 OutVector& outVector ) const;
+// TODO: add const RealType& multiplicator = 1.0 )
+
+template< typename Real,
+          typename Organization >
+template< typename Real2, typename Index2 >
+void addMatrix( const CSR< Real2, Device, Index2 >& matrix,
+             const RealType& matrixMultiplicator = 1.0,
+             const RealType& thisMatrixMultiplicator = 1.0 );
+
+template< typename Real,
+          typename Organization >
+template< typename Real2, typename Index2 >
+void getTransposition( const CSR< Real2, Device, Index2 >& matrix,
+                    const RealType& matrixMultiplicator = 1.0 );
+
+template< typename Real,
+          typename Organization >
+template< typename Vector1, typename Vector2 >
+bool performSORIteration( const Vector1& b,
+                       const IndexType row,
+                       Vector2& x,
+                       const RealType& omega = 1.0 ) const;
+
+// copy assignment
+template< typename Real,
+          typename Organization >
+CSR& operator=( const CSR& matrix );
+
+// cross-device copy assignment
+template< typename Real,
+          typename Organization >
+template< typename Real2, typename Device2, typename Index2,
+       typename = typename Enabler< Device2 >::type >
+CSR& operator=( const CSR< Real2, Device2, Index2 >& matrix );
+
+template< typename Real,
+          typename Organization >
+void save( File& file ) const;
+
+template< typename Real,
+          typename Organization >
+void load( File& file );
+
+template< typename Real,
+          typename Organization >
+void save( const String& fileName ) const;
+
+template< typename Real,
+          typename Organization >
+void load( const String& fileName );
+
+template< typename Real,
+          typename Organization >
+void print( std::ostream& str ) const;
+
+
+   } //namespace Matrices
+} // namespace  TNL