35 #ifndef _BLAZE_MATH_EXPRESSIONS_SMATSMATMULTEXPR_H_ 36 #define _BLAZE_MATH_EXPRESSIONS_SMATSMATMULTEXPR_H_ 120 template<
typename MT1
122 class SMatSMatMultExpr :
public SparseMatrix< SMatSMatMultExpr<MT1,MT2>, false >
123 ,
private MatMatMultExpr
124 ,
private Computation
151 template<
typename T1,
typename T2,
typename T3 >
152 struct CanExploitSymmetry {
166 template<
typename T1,
typename T2,
typename T3 >
167 struct IsEvaluationRequired {
168 enum :
bool { value = ( evaluateLeft || evaluateRight ) &&
169 !CanExploitSymmetry<T1,T2,T3>::value };
193 enum :
bool { smpAssignable = !evaluateLeft && MT1::smpAssignable &&
194 !evaluateRight && MT2::smpAssignable };
244 :(
lhs_.columns() ) ) );
248 const size_t n(
end - begin );
266 inline ReturnType
at(
size_t i,
size_t j )
const {
267 if( i >=
lhs_.rows() ) {
270 if( j >=
rhs_.columns() ) {
282 inline size_t rows() const noexcept {
293 return rhs_.columns();
302 inline constexpr
size_t nonZeros() const noexcept {
313 inline size_t nonZeros(
size_t i )
const noexcept {
345 template<
typename T >
346 inline bool canAlias(
const T* alias )
const noexcept {
347 return (
lhs_.isAliased( alias ) ||
rhs_.isAliased( alias ) );
357 template<
typename T >
358 inline bool isAliased(
const T* alias )
const noexcept {
359 return (
lhs_.isAliased( alias ) ||
rhs_.isAliased( alias ) );
369 return (
rows() *
columns() >= SMP_SMATSMATMULT_THRESHOLD );
392 template<
typename MT
402 CT1 A(
serial( rhs.lhs_ ) );
403 CT2 B(
serial( rhs.rhs_ ) );
412 SMatSMatMultExpr::selectAssignKernel( ~lhs, A, B );
430 template<
typename MT3
433 static inline void selectAssignKernel( MT3& C,
const MT4& A,
const MT5& B )
438 for(
size_t i=0UL; i<C.rows(); ++i ) {
439 const LeftIterator lend( A.end(i) );
440 for( LeftIterator lelem=A.begin(i); lelem!=lend; ++lelem ) {
441 const RightIterator rend( B.end( lelem->index() ) );
442 for( RightIterator relem=B.begin( lelem->index() ); relem!=rend; ++relem )
446 C(i,relem->index()) = lelem->value() * relem->value();
449 C(i,relem->index()) += lelem->value() * relem->value();
471 template<
typename MT >
482 CT1 A(
serial( rhs.lhs_ ) );
483 CT2 B(
serial( rhs.rhs_ ) );
493 size_t nonzeros( 0UL );
495 for(
size_t i=0UL; i<(~lhs).
rows(); ++i ) {
496 const LeftIterator lend( A.end(i) );
497 for( LeftIterator lelem=A.begin(i); lelem!=lend; ++lelem ) {
498 nonzeros += B.nonZeros( lelem->index() );
502 if( nonzeros > (~lhs).rows() * (~lhs).
columns() ) {
506 (~lhs).reserve( nonzeros );
511 std::vector<byte_t> valid ( (~lhs).
columns(), 0 );
512 std::vector<size_t> indices( (~lhs).
columns(), 0UL );
513 size_t minIndex(
inf ), maxIndex( 0UL );
515 for(
size_t i=0UL; i<(~lhs).
rows(); ++i )
517 const LeftIterator lend( A.end(i) );
518 for( LeftIterator lelem=A.begin(i); lelem!=lend; ++lelem )
520 const RightIterator rend( B.end( lelem->index() ) );
521 for( RightIterator relem=B.begin( lelem->index() ); relem!=rend; ++relem )
523 if( !valid[relem->index()] ) {
524 values[relem->index()] = lelem->value() * relem->value();
525 valid [relem->index()] = 1;
526 indices[nonzeros] = relem->index();
528 if( relem->index() < minIndex ) minIndex = relem->index();
529 if( relem->index() > maxIndex ) maxIndex = relem->index();
532 values[relem->index()] += lelem->value() * relem->value();
543 if( ( nonzeros + nonzeros ) < ( maxIndex - minIndex ) )
545 std::sort( indices.begin(), indices.begin() + nonzeros );
547 for(
size_t j=0UL; j<nonzeros; ++j )
549 const size_t index( indices[j] );
551 (~lhs).append( i, index, values[index] );
552 reset( values[index] );
555 reset( valid [index] );
559 for(
size_t j=minIndex; j<=maxIndex; ++j )
562 (~lhs).append( i, j, values[j] );
575 (~lhs).finalize( i );
594 template<
typename MT >
608 const ResultType tmp(
serial( rhs ) );
609 (~lhs).reserve( tmp.nonZeros() );
630 template<
typename MT >
641 assign( ~lhs,
trans( rhs.lhs_ ) *
trans( rhs.rhs_ ) );
659 template<
typename MT
669 CT1 A(
serial( rhs.lhs_ ) );
670 CT2 B(
serial( rhs.rhs_ ) );
679 SMatSMatMultExpr::selectAddAssignKernel( ~lhs, A, B );
698 template<
typename MT3
701 static inline void selectAddAssignKernel( MT3& C,
const MT4& A,
const MT5& B )
706 for(
size_t i=0UL; i<C.rows(); ++i ) {
707 const LeftIterator lend( A.end(i) );
708 for( LeftIterator lelem=A.begin(i); lelem!=lend; ++lelem ) {
709 const RightIterator rend( B.end( lelem->index() ) );
710 for( RightIterator relem=B.begin( lelem->index() ); relem!=rend; ++relem ) {
711 C(i,relem->index()) += lelem->value() * relem->value();
734 template<
typename MT >
745 addAssign( ~lhs,
trans( rhs.lhs_ ) *
trans( rhs.rhs_ ) );
767 template<
typename MT
777 CT1 A(
serial( rhs.lhs_ ) );
778 CT2 B(
serial( rhs.rhs_ ) );
787 SMatSMatMultExpr::selectSubAssignKernel( ~lhs, A, B );
806 template<
typename MT3
809 static inline void selectSubAssignKernel( MT3& C,
const MT4& A,
const MT5& B )
814 for(
size_t i=0UL; i<C.rows(); ++i ) {
815 const LeftIterator lend( A.end(i) );
816 for( LeftIterator lelem=A.begin(i); lelem!=lend; ++lelem ) {
817 const RightIterator rend( B.end( lelem->index() ) );
818 for( RightIterator relem=B.begin( lelem->index() ); relem!=rend; ++relem ) {
819 C(i,relem->index()) -= lelem->value() * relem->value();
842 template<
typename MT >
853 subAssign( ~lhs,
trans( rhs.lhs_ ) *
trans( rhs.rhs_ ) );
885 template<
typename MT
925 template<
typename MT >
957 template<
typename MT
997 template<
typename MT >
1033 template<
typename MT
1073 template<
typename MT >
1149 template<
typename T1
1175 template<
typename MT1,
typename MT2 >
1176 struct Rows< SMatSMatMultExpr<MT1,MT2> > :
public Rows<MT1>
1192 template<
typename MT1,
typename MT2 >
1193 struct Columns< SMatSMatMultExpr<MT1,MT2> > :
public Columns<MT2>
1209 template<
typename MT1,
typename MT2 >
1210 struct IsLower< SMatSMatMultExpr<MT1,MT2> >
1211 :
public BoolConstant< And< IsLower<MT1>, IsLower<MT2> >::value >
1227 template<
typename MT1,
typename MT2 >
1228 struct IsUniLower< SMatSMatMultExpr<MT1,MT2> >
1229 :
public BoolConstant< And< IsUniLower<MT1>, IsUniLower<MT2> >::value >
1245 template<
typename MT1,
typename MT2 >
1247 :
public BoolConstant< Or< And< IsStrictlyLower<MT1>, IsLower<MT2> >
1248 , And< IsStrictlyLower<MT2>, IsLower<MT1> > >::value >
1264 template<
typename MT1,
typename MT2 >
1265 struct IsUpper< SMatSMatMultExpr<MT1,MT2> >
1266 :
public BoolConstant< And< IsUpper<MT1>, IsUpper<MT2> >::value >
1282 template<
typename MT1,
typename MT2 >
1283 struct IsUniUpper< SMatSMatMultExpr<MT1,MT2> >
1284 :
public BoolConstant< And< IsUniUpper<MT1>, IsUniUpper<MT2> >::value >
1300 template<
typename MT1,
typename MT2 >
1302 :
public BoolConstant< Or< And< IsStrictlyUpper<MT1>, IsUpper<MT2> >
1303 , And< IsStrictlyUpper<MT2>, IsUpper<MT1> > >::value >
1319 template<
typename MT1,
typename MT2,
typename VT >
1337 template<
typename MT1,
typename MT2,
typename VT >
1355 template<
typename VT,
typename MT1,
typename MT2 >
1373 template<
typename VT,
typename MT1,
typename MT2 >
1391 template<
typename MT1,
typename MT2,
bool AF >
1406 template<
typename MT1,
typename MT2 >
1420 template<
typename MT1,
typename MT2 >
ReturnType operator()(size_t i, size_t j) const
2D-access to the matrix elements.
Definition: SMatSMatMultExpr.h:218
typename SubmatrixExprTrait< MT, AF >::Type SubmatrixExprTrait_
Auxiliary alias declaration for the SubmatrixExprTrait type trait.The SubmatrixExprTrait_ alias decla...
Definition: SubmatrixExprTrait.h:134
#define BLAZE_THROW_INVALID_ARGUMENT(MESSAGE)
Macro for the emission of a std::invalid_argument exception.This macro encapsulates the default way o...
Definition: Exception.h:235
CompositeType_< MT1 > CT1
Composite type of the left-hand side sparse matrix expression.
Definition: SMatSMatMultExpr.h:130
MultTrait_< RT1, RT2 > ResultType
Result type for expression template evaluations.
Definition: SMatSMatMultExpr.h:177
Compile time check for row vector types.This type trait tests whether or not the given template argum...
Definition: IsRowVector.h:80
Header file for auxiliary alias declarations.
bool canAlias(const T *alias) const noexcept
Returns whether the expression can alias with the given address alias.
Definition: SMatSMatMultExpr.h:346
Header file for mathematical functions.
Header file for the SMatDVecMultExprTrait class template.
RightOperand rhs_
Right-hand side sparse matrix of the multiplication expression.
Definition: SMatSMatMultExpr.h:376
Header file for the Rows type trait.
Header file for the UNUSED_PARAMETER function template.
CompositeType_< MT2 > CT2
Composite type of the right-hand side sparse matrix expression.
Definition: SMatSMatMultExpr.h:131
Header file for the IsUniUpper type trait.
Compile time check for triangular matrix types.This type trait tests whether or not the given templat...
Definition: IsTriangular.h:87
Header file for basic type definitions.
typename TDVecSMatMultExprTrait< VT, MT >::Type TDVecSMatMultExprTrait_
Auxiliary alias declaration for the TDVecSMatMultExprTrait class template.The TDVecSMatMultExprTrait_...
Definition: TDVecSMatMultExprTrait.h:123
EnableIf_< IsDenseMatrix< MT1 > > smpSubAssign(Matrix< MT1, SO1 > &lhs, const Matrix< MT2, SO2 > &rhs)
Default implementation of the SMP subtraction assignment of a matrix to dense matrix.
Definition: DenseMatrix.h:160
Header file for the IsSparseMatrix type trait.
Header file for the serial shim.
Generic wrapper for a compile time constant integral value.The IntegralConstant class template repres...
Definition: IntegralConstant.h:71
Header file for the ColumnExprTrait class template.
If_< IsExpression< MT1 >, const MT1, const MT1 &> LeftOperand
Composite type of the left-hand side sparse matrix expression.
Definition: SMatSMatMultExpr.h:185
BLAZE_ALWAYS_INLINE MT::Iterator begin(Matrix< MT, SO > &matrix, size_t i)
Returns an iterator to the first element of row/column i.
Definition: Matrix.h:194
ResultType_< MT1 > RT1
Result type of the left-hand side sparse matrix expression.
Definition: SMatSMatMultExpr.h:128
Header file for the IsColumnMajorMatrix type trait.
void reset(const DiagonalProxy< MT > &proxy)
Resetting the represented element to the default initial values.
Definition: DiagonalProxy.h:533
Header file for the IsRowVector type trait.
typename DisableIf< Condition, T >::Type DisableIf_
Auxiliary type for the DisableIf class template.The DisableIf_ alias declaration provides a convenien...
Definition: DisableIf.h:223
Header file for the And class template.
const ElementType_< MT > min(const DenseMatrix< MT, SO > &dm)
Returns the smallest element of the dense matrix.
Definition: DenseMatrix.h:1755
Compile time check for lower triangular matrices.This type trait tests whether or not the given templ...
Definition: IsLower.h:88
Header file for the TDVecSMatMultExprTrait class template.
const DMatSerialExpr< MT, SO > serial(const DenseMatrix< MT, SO > &dm)
Forces the serial evaluation of the given dense matrix expression dm.
Definition: DMatSerialExpr.h:721
If_< IsExpression< MT2 >, const MT2, const MT2 &> RightOperand
Composite type of the right-hand side sparse matrix expression.
Definition: SMatSMatMultExpr.h:188
typename MultTrait< T1, T2 >::Type MultTrait_
Auxiliary alias declaration for the MultTrait class template.The MultTrait_ alias declaration provide...
Definition: MultTrait.h:245
Header file for the Computation base class.
Header file for the MatMatMultExpr base class.
Compile time check for upper triangular matrices.This type trait tests whether or not the given templ...
Definition: IsUpper.h:88
bool isAliased(const T *alias) const noexcept
Returns whether the expression is aliased with the given address alias.
Definition: SMatSMatMultExpr.h:358
Constraints on the storage order of matrix types.
Header file for the RequiresEvaluation type trait.
Header file for the TSVecSMatMultExprTrait class template.
Header file for the IsUniLower type trait.
typename T::ResultType ResultType_
Alias declaration for nested ResultType type definitions.The ResultType_ alias declaration provides a...
Definition: Aliases.h:323
const ElementType_< MT > max(const DenseMatrix< MT, SO > &dm)
Returns the largest element of the dense matrix.
Definition: DenseMatrix.h:1802
Evaluation of the expression type of a sparse matrix/dense vector multiplication.Via this type trait ...
Definition: SMatDVecMultExprTrait.h:78
EnableIf_< IsDenseMatrix< MT1 > > smpAddAssign(Matrix< MT1, SO1 > &lhs, const Matrix< MT2, SO2 > &rhs)
Default implementation of the SMP addition assignment of a matrix to a dense matrix.
Definition: DenseMatrix.h:129
size_t rows() const noexcept
Returns the current number of rows of the matrix.
Definition: SMatSMatMultExpr.h:282
OppositeType_< ResultType > OppositeType
Result type with opposite storage order for expression template evaluations.
Definition: SMatSMatMultExpr.h:178
Base class for dense matrices.The DenseMatrix class is a base class for all dense matrix classes...
Definition: DenseMatrix.h:71
Base class for sparse matrices.The SparseMatrix class is a base class for all sparse matrix classes...
Definition: Forward.h:119
RightOperand rightOperand() const noexcept
Returns the right-hand side sparse matrix operand.
Definition: SMatSMatMultExpr.h:334
const ElementType ReturnType
Return type for expression template evaluations.
Definition: SMatSMatMultExpr.h:181
Header file for the SparseMatrix base class.
Constraint on the data type.
typename MultExprTrait< T1, T2 >::Type MultExprTrait_
Auxiliary alias declaration for the MultExprTrait class template.The MultExprTrait_ alias declaration...
Definition: MultExprTrait.h:344
Header file for the MultExprTrait class template.
Compile time check to query the requirement to evaluate an expression.Via this type trait it is possi...
Definition: RequiresEvaluation.h:72
SubvectorExprTrait_< VT, unaligned > subvector(Vector< VT, TF > &vector, size_t index, size_t size)
Creating a view on a specific subvector of the given vector.
Definition: Subvector.h:152
typename T::CompositeType CompositeType_
Alias declaration for nested CompositeType type definitions.The CompositeType_ alias declaration prov...
Definition: Aliases.h:83
Compile time check for upper unitriangular matrices.This type trait tests whether or not the given te...
Definition: IsUniUpper.h:86
Header file for the DisableIf class template.
LeftOperand lhs_
Left-hand side sparse matrix of the multiplication expression.
Definition: SMatSMatMultExpr.h:375
Compile time check for dense vector types.This type trait tests whether or not the given template par...
Definition: IsDenseVector.h:78
Header file for the multiplication trait.
Header file for the IsStrictlyUpper type trait.
Header file for the IsSymmetric type trait.
Namespace of the Blaze C++ math library.
Definition: Blaze.h:57
Header file for the If class template.
Compile time check for row-major matrix types.This type trait tests whether or not the given template...
Definition: IsRowMajorMatrix.h:83
EnableIf_< IsDenseMatrix< MT1 > > smpAssign(Matrix< MT1, SO1 > &lhs, const Matrix< MT2, SO2 > &rhs)
Default implementation of the SMP assignment of a matrix to a dense matrix.
Definition: DenseMatrix.h:98
Header file for the Or class template.
typename SMatSVecMultExprTrait< MT, VT >::Type SMatSVecMultExprTrait_
Auxiliary alias declaration for the SMatSVecMultExprTrait class template.The SMatSVecMultExprTrait_ a...
Definition: SMatSVecMultExprTrait.h:123
#define BLAZE_THROW_OUT_OF_RANGE(MESSAGE)
Macro for the emission of a std::out_of_range exception.This macro encapsulates the default way of Bl...
Definition: Exception.h:331
Header file for the Columns type trait.
ReturnType at(size_t i, size_t j) const
Checked access to the matrix elements.
Definition: SMatSMatMultExpr.h:266
Numerical infinity for built-in data types.
typename T::ElementType ElementType_
Alias declaration for nested ElementType type definitions.The ElementType_ alias declaration provides...
Definition: Aliases.h:163
TransposeType_< ResultType > TransposeType
Transpose type for expression template evaluations.
Definition: SMatSMatMultExpr.h:179
SMatSMatMultExpr< MT1, MT2 > This
Type of this SMatSMatMultExpr instance.
Definition: SMatSMatMultExpr.h:176
Compile time check for sparse vector types.This type trait tests whether or not the given template pa...
Definition: IsSparseVector.h:78
Evaluation of the expression type type of a submatrix operation.Via this type trait it is possible to...
Definition: SubmatrixExprTrait.h:80
Header file for the IsLower type trait.
Compile time check for diagonal matrices.This type trait tests whether or not the given template para...
Definition: IsDiagonal.h:90
Evaluation of the expression type of a sparse matrix/sparse vector multiplication.Via this type trait it is possible to evaluate the resulting expression type of a sparse matrix/sparse vector multiplication. Given the row-major sparse matrix type MT and the non-transpose sparse vector type VT, the nested type Type corresponds to the resulting expression type. In case either MT is not a row-major sparse matrix type or VT is not a non-transpose sparse vector type, the resulting data type Type is set to INVALID_TYPE.
Definition: SMatSVecMultExprTrait.h:80
Evaluation of the expression type of a dense vector/sparse matrix multiplication.Via this type trait ...
Definition: TDVecSMatMultExprTrait.h:80
Header file for the SMatSVecMultExprTrait class template.
DisableIf_< Or< IsComputation< MT >, IsTransExpr< MT >, IsDeclExpr< MT > >, RowExprTrait_< MT > > row(Matrix< MT, SO > &matrix, size_t index)
Creating a view on a specific row of the given matrix.
Definition: Row.h:128
Evaluation of the expression type of a sparse vector/sparse matrix multiplication.Via this type trait it is possible to evaluate the resulting expression type of a sparse vector/sparse matrix multiplication. Given the transpose sparse vector type VT and the row-major sparse matrix type MT, the nested type Type corresponds to the resulting expression type. In case either VT is not a transpose sparse vector type or MT is not a row-major sparse matrix type, the resulting data type Type is set to INVALID_TYPE.
Definition: TSVecSMatMultExprTrait.h:78
Header file for the IsTriangular type trait.
Compile time check for column vector types.This type trait tests whether or not the given template ar...
Definition: IsColumnVector.h:80
LeftOperand leftOperand() const noexcept
Returns the left-hand side sparse matrix operand.
Definition: SMatSMatMultExpr.h:324
Compile time check for symmetric matrices.This type trait tests whether or not the given template par...
Definition: IsSymmetric.h:85
Header file for the exception macros of the math module.
Compile time check for strictly upper triangular matrices.This type trait tests whether or not the gi...
Definition: IsStrictlyUpper.h:86
Evaluation of the expression type type of a row operation.Via this type trait it is possible to evalu...
Definition: RowExprTrait.h:79
BLAZE_ALWAYS_INLINE MT::Iterator end(Matrix< MT, SO > &matrix, size_t i)
Returns an iterator just past the last element of row/column i.
Definition: Matrix.h:260
Header file for the RowExprTrait class template.
Header file for all forward declarations for expression class templates.
DisableIf_< Or< IsComputation< MT >, IsTransExpr< MT >, IsDeclExpr< MT > >, ColumnExprTrait_< MT > > column(Matrix< MT, SO > &matrix, size_t index)
Creating a view on a specific column of the given matrix.
Definition: Column.h:128
Header file for the EnableIf class template.
Header file for the IsStrictlyLower type trait.
size_t nonZeros(size_t i) const noexcept
Returns the number of non-zero elements in the specified row.
Definition: SMatSMatMultExpr.h:313
#define BLAZE_CONSTRAINT_MUST_FORM_VALID_MATMATMULTEXPR(T1, T2)
Constraint on the data type.In case the given data types T1 and T2 do not form a valid matrix/matrix ...
Definition: MatMatMultExpr.h:109
Compile time check for lower unitriangular matrices.This type trait tests whether or not the given te...
Definition: IsUniLower.h:86
Compile time check for resizable data types.This type trait tests whether the given data type is a re...
Definition: IsResizable.h:75
size_t columns() const noexcept
Returns the current number of columns of the matrix.
Definition: SMatSMatMultExpr.h:292
Header file for the IsSparseVector type trait.
#define BLAZE_CONSTRAINT_MUST_NOT_BE_SYMMETRIC_MATRIX_TYPE(T)
Constraint on the data type.In case the given data type T is a symmetric matrix type, a compilation error is created.
Definition: Symmetric.h:79
Header file for the SubmatrixExprTrait class template.
#define BLAZE_CONSTRAINT_MUST_BE_ROW_MAJOR_MATRIX_TYPE(T)
Constraint on the data type.In case the given data type T is not a row-major dense or sparse matrix t...
Definition: RowMajorMatrix.h:61
Expression object for sparse matrix-sparse matrix multiplications.The SMatSMatMultExpr class represen...
Definition: Forward.h:109
SMatSMatMultExpr(const MT1 &lhs, const MT2 &rhs) noexcept
Constructor for the SMatSMatMultExpr class.
Definition: SMatSMatMultExpr.h:203
Header file for run time assertion macros.
Compile time check for column-major matrix types.This type trait tests whether or not the given templ...
Definition: IsColumnMajorMatrix.h:83
Utility type for generic codes.
typename If< T1, T2, T3 >::Type If_
Auxiliary alias declaration for the If class template.The If_ alias declaration provides a convenient...
Definition: If.h:160
const ResultType CompositeType
Data type for composite expression templates.
Definition: SMatSMatMultExpr.h:182
Header file for the reset shim.
#define BLAZE_FUNCTION_TRACE
Function trace macro.This macro can be used to reliably trace function calls. In case function tracin...
Definition: FunctionTrace.h:93
Header file for the isDefault shim.
Base class for matrices.The Matrix class is a base class for all dense and sparse matrix classes with...
Definition: Forward.h:94
Constraint on the data type.
typename SMatDVecMultExprTrait< MT, VT >::Type SMatDVecMultExprTrait_
Auxiliary alias declaration for the SMatDVecMultExprTrait class template.The SMatDVecMultExprTrait_ a...
Definition: SMatDVecMultExprTrait.h:119
Header file for the RemoveReference type trait.
typename EnableIf< Condition, T >::Type EnableIf_
Auxiliary alias declaration for the EnableIf class template.The EnableIf_ alias declaration provides ...
Definition: EnableIf.h:223
typename T::OppositeType OppositeType_
Alias declaration for nested OppositeType type definitions.The OppositeType_ alias declaration provid...
Definition: Aliases.h:243
Header file for the IsDenseVector type trait.
Compile time check for strictly lower triangular matrices.This type trait tests whether or not the gi...
Definition: IsStrictlyLower.h:86
ResultType_< MT2 > RT2
Result type of the right-hand side sparse matrix expression.
Definition: SMatSMatMultExpr.h:129
typename T::ConstIterator ConstIterator_
Alias declaration for nested ConstIterator type definitions.The ConstIterator_ alias declaration prov...
Definition: Aliases.h:103
typename TSVecSMatMultExprTrait< VT, MT >::Type TSVecSMatMultExprTrait_
Auxiliary alias declaration for the TSVecSMatMultExprTrait class template.The TSVecSMatMultExprTrait_...
Definition: TSVecSMatMultExprTrait.h:119
ElementType_< ResultType > ElementType
Resulting element type.
Definition: SMatSMatMultExpr.h:180
Header file for the IsRowMajorMatrix type trait.
const DMatTransExpr< MT,!SO > trans(const DenseMatrix< MT, SO > &dm)
Calculation of the transpose of the given dense matrix.
Definition: DMatTransExpr.h:733
Header file for the IsComputation type trait class.
Header file for the IntegralConstant class template.
Compile time evaluation of the number of columns of a matrix.The Columns type trait evaluates the num...
Definition: Columns.h:76
constexpr Infinity inf
Global Infinity instance.The blaze::inf instance can be used wherever a built-in data type is expecte...
Definition: Infinity.h:1073
Compile time evaluation of the number of rows of a matrix.The Rows type trait evaluates the number of...
Definition: Rows.h:76
Compile time check for sparse matrix types.This type trait tests whether or not the given template pa...
Definition: IsSparseMatrix.h:78
bool isDefault(const DiagonalProxy< MT > &proxy)
Returns whether the represented element is in default state.
Definition: DiagonalProxy.h:573
typename T::TransposeType TransposeType_
Alias declaration for nested TransposeType type definitions.The TransposeType_ alias declaration prov...
Definition: Aliases.h:403
Header file for the IsUpper type trait.
void UNUSED_PARAMETER(const Args &...)
Suppression of unused parameter warnings.
Definition: Unused.h:81
constexpr size_t nonZeros() const noexcept
Returns the number of non-zero elements in the sparse matrix.
Definition: SMatSMatMultExpr.h:302
Header file for the IsColumnVector type trait.
Constraint on the data type.
Header file for the IsResizable type trait.
const DMatDMatMultExpr< T1, T2, false, false, false, false > operator*(const DenseMatrix< T1, false > &lhs, const DenseMatrix< T2, false > &rhs)
Multiplication operator for the multiplication of two row-major dense matrices ( ).
Definition: DMatDMatMultExpr.h:7505
bool canSMPAssign() const noexcept
Returns whether the expression can be used in SMP assignments.
Definition: SMatSMatMultExpr.h:368
Header file for the thresholds for matrix/vector and matrix/matrix multiplications.
Evaluation of the expression type type of a column operation.Via this type trait it is possible to ev...
Definition: ColumnExprTrait.h:78
#define BLAZE_INTERNAL_ASSERT(expr, msg)
Run time assertion macro for internal checks.In case of an invalid run time expression, the program execution is terminated. The BLAZE_INTERNAL_ASSERT macro can be disabled by setting the BLAZE_USER_ASSERTION flag to zero or by defining NDEBUG during the compilation.
Definition: Assert.h:101
#define BLAZE_CONSTRAINT_MUST_BE_SPARSE_MATRIX_TYPE(T)
Constraint on the data type.In case the given data type T is not a sparse, N-dimensional matrix type...
Definition: SparseMatrix.h:61
Header file for the IsExpression type trait class.
Header file for the function trace functionality.