35 #ifndef _BLAZE_MATH_EXPRESSIONS_DMATTDMATMAPEXPR_H_ 36 #define _BLAZE_MATH_EXPRESSIONS_DMATTDMATMAPEXPR_H_ 90 template<
typename MT1
94 :
public MatMatMapExpr< DenseMatrix< DMatTDMatMapExpr<MT1,MT2,OP>, false > >
117 static constexpr
bool useAssign = ( RequiresEvaluation_v<MT1> || RequiresEvaluation_v<MT2> );
120 template<
typename MT >
122 static constexpr
bool UseAssign_v =
useAssign;
134 template<
typename MT >
135 static constexpr
bool UseSMPAssign_v =
150 using ReturnType = decltype( std::declval<OP>()( std::declval<RN1>(), std::declval<RN2>() ) );
216 if( i >=
lhs_.rows() ) {
219 if( j >=
lhs_.columns() ) {
231 inline size_t rows() const noexcept {
242 return lhs_.columns();
282 template<
typename T >
283 inline bool canAlias(
const T* alias )
const noexcept {
284 return ( IsExpression_v<MT1> &&
lhs_.canAlias( alias ) ) ||
285 ( IsExpression_v<MT2> &&
rhs_.canAlias( alias ) );
295 template<
typename T >
296 inline bool isAliased(
const T* alias )
const noexcept {
297 return (
lhs_.isAliased( alias ) ||
rhs_.isAliased( alias ) );
307 return lhs_.isAligned() &&
rhs_.isAligned();
317 return lhs_.canSMPAssign() &&
rhs_.canSMPAssign();
342 template<
typename MT
352 constexpr
size_t block( BLOCK_SIZE );
354 const size_t m( rhs.rows() );
355 const size_t n( rhs.columns() );
357 for(
size_t ii=0UL; ii<m; ii+=block ) {
358 const size_t iend( ( m < ii+block )?( m ):( ii+block ) );
359 for(
size_t jj=0UL; jj<n; jj+=block ) {
360 const size_t jend( ( n < jj+block )?( n ):( jj+block ) );
361 for(
size_t i=ii; i<iend; ++i ) {
362 for(
size_t j=jj; j<jend; ++j ) {
363 (~lhs)(i,j) = rhs.op_( rhs.lhs_(i,j), rhs.rhs_(i,j) );
386 template<
typename MT
406 assign( ~lhs,
map( A, B, rhs.op_ ) );
425 template<
typename MT
427 friend inline auto assign( SparseMatrix<MT,SO>& lhs,
const DMatTDMatMapExpr& rhs )
428 -> EnableIf_t< UseAssign_v<MT> >
432 using TmpType = If_t< SO, OppositeType, ResultType >;
444 const TmpType tmp(
serial( rhs ) );
464 template<
typename MT
466 friend inline auto addAssign( DenseMatrix<MT,SO>& lhs,
const DMatTDMatMapExpr& rhs )
467 -> DisableIf_t< UseAssign_v<MT> >
474 constexpr
size_t block( BLOCK_SIZE );
476 const size_t m( rhs.rows() );
477 const size_t n( rhs.columns() );
479 for(
size_t ii=0UL; ii<m; ii+=block ) {
480 const size_t iend( ( m < ii+block )?( m ):( ii+block ) );
481 for(
size_t jj=0UL; jj<n; jj+=block ) {
482 const size_t jend( ( n < jj+block )?( n ):( jj+block ) );
483 for(
size_t i=ii; i<iend; ++i ) {
484 for(
size_t j=jj; j<jend; ++j ) {
485 (~lhs)(i,j) += rhs.op_( rhs.lhs_(i,j), rhs.rhs_(i,j) );
508 template<
typename MT
510 friend inline auto addAssign( DenseMatrix<MT,SO>& lhs,
const DMatTDMatMapExpr& rhs )
511 -> EnableIf_t< UseAssign_v<MT> >
528 addAssign( ~lhs,
map( A, B, rhs.op_ ) );
551 template<
typename MT
553 friend inline auto subAssign( DenseMatrix<MT,SO>& lhs,
const DMatTDMatMapExpr& rhs )
554 -> DisableIf_t< UseAssign_v<MT> >
561 constexpr
size_t block( BLOCK_SIZE );
563 const size_t m( rhs.rows() );
564 const size_t n( rhs.columns() );
566 for(
size_t ii=0UL; ii<m; ii+=block ) {
567 const size_t iend( ( m < ii+block )?( m ):( ii+block ) );
568 for(
size_t jj=0UL; jj<n; jj+=block ) {
569 const size_t jend( ( n < jj+block )?( n ):( jj+block ) );
570 for(
size_t i=ii; i<iend; ++i ) {
571 for(
size_t j=jj; j<jend; ++j ) {
572 (~lhs)(i,j) -= rhs.op_( rhs.lhs_(i,j), rhs.rhs_(i,j) );
595 template<
typename MT
597 friend inline auto subAssign( DenseMatrix<MT,SO>& lhs,
const DMatTDMatMapExpr& rhs )
598 -> EnableIf_t< UseAssign_v<MT> >
615 subAssign( ~lhs,
map( A, B, rhs.op_ ) );
638 template<
typename MT
640 friend inline auto schurAssign( DenseMatrix<MT,SO>& lhs,
const DMatTDMatMapExpr& rhs )
641 -> DisableIf_t< UseAssign_v<MT> >
648 constexpr
size_t block( BLOCK_SIZE );
650 const size_t m( rhs.rows() );
651 const size_t n( rhs.columns() );
653 for(
size_t ii=0UL; ii<m; ii+=block ) {
654 const size_t iend( ( m < ii+block )?( m ):( ii+block ) );
655 for(
size_t jj=0UL; jj<n; jj+=block ) {
656 const size_t jend( ( n < jj+block )?( n ):( jj+block ) );
657 for(
size_t i=ii; i<iend; ++i ) {
658 for(
size_t j=jj; j<jend; ++j ) {
659 (~lhs)(i,j) *= rhs.op_( rhs.lhs_(i,j), rhs.rhs_(i,j) );
682 template<
typename MT
684 friend inline auto schurAssign( DenseMatrix<MT,SO>& lhs,
const DMatTDMatMapExpr& rhs )
685 -> EnableIf_t< UseAssign_v<MT> >
702 schurAssign( ~lhs,
map( A, B, rhs.op_ ) );
733 template<
typename MT
736 -> EnableIf_t< UseSMPAssign_v<MT> >
772 template<
typename MT
775 -> EnableIf_t< UseSMPAssign_v<MT> >
779 using TmpType = If_t< SO, OppositeType, ResultType >;
791 const TmpType tmp( rhs );
812 template<
typename MT
815 -> EnableIf_t< UseSMPAssign_v<MT> >
856 template<
typename MT
859 -> EnableIf_t< UseSMPAssign_v<MT> >
900 template<
typename MT
903 -> EnableIf_t< UseSMPAssign_v<MT> >
970 template<
typename MT1
973 , EnableIf_t< !IsSymmetric_v<MT1> && !IsSymmetric_v<MT2> >* =
nullptr >
974 inline const DMatTDMatMapExpr<MT1,MT2,OP>
975 map_backend(
const DenseMatrix<MT1,false>& lhs,
const DenseMatrix<MT2,true>& rhs, OP op )
982 return DMatTDMatMapExpr<MT1,MT2,OP>( ~lhs, ~rhs, op );
1002 template<
typename MT1
1005 , EnableIf_t< IsSymmetric_v<MT1> && !IsSymmetric_v<MT2> >* =
nullptr >
1006 inline decltype(
auto)
1007 map_backend( const DenseMatrix<MT1,false>& lhs, const DenseMatrix<MT2,true>& rhs, OP op )
1014 return map(
trans( ~lhs ), ~rhs, op );
1035 template<
typename MT1
1038 , EnableIf_t< IsSymmetric_v<MT2> >* =
nullptr >
1039 inline decltype(
auto)
1040 map_backend( const DenseMatrix<MT1,false>& lhs, const DenseMatrix<MT2,true>& rhs, OP op )
1047 return map( ~lhs,
trans( ~rhs ), op );
1078 template<
typename MT1
1081 inline decltype(
auto)
1090 return map_backend( ~lhs, ~rhs, op );
1109 template<
typename MT1
1112 , EnableIf_t< !IsSymmetric_v<MT1> && !IsSymmetric_v<MT2> >* =
nullptr >
1113 inline const DMatTDMatMapExpr<MT1,MT2,OP>
1114 map_backend(
const DenseMatrix<MT1,true>& lhs,
const DenseMatrix<MT2,false>& rhs, OP op )
1121 return DMatTDMatMapExpr<MT1,MT2,OP>( ~lhs, ~rhs, op );
1141 template<
typename MT1
1144 , EnableIf_t< !IsSymmetric_v<MT1> && IsSymmetric_v<MT2> >* =
nullptr >
1145 inline decltype(
auto)
1146 map_backend( const DenseMatrix<MT1,true>& lhs, const DenseMatrix<MT2,false>& rhs, OP op )
1153 return map( ~lhs,
trans( ~rhs ), op );
1174 template<
typename MT1
1177 , EnableIf_t< IsSymmetric_v<MT1> >* =
nullptr >
1178 inline decltype(
auto)
1179 map_backend( const DenseMatrix<MT1,true>& lhs, const DenseMatrix<MT2,false>& rhs, OP op )
1186 return map(
trans( ~lhs ), ~rhs, op );
1217 template<
typename MT1
1220 inline decltype(
auto)
1229 return map_backend( ~lhs, ~rhs, op );
1244 template<
typename MT1,
typename MT2,
typename OP >
1245 struct IsAligned< DMatTDMatMapExpr<MT1,MT2,OP> >
1246 :
public BoolConstant< IsAligned_v<MT1> && IsAligned_v<MT2> >
1262 template<
typename MT1,
typename MT2,
typename OP >
1263 struct IsPadded< DMatTDMatMapExpr<MT1,MT2,OP> >
1264 :
public BoolConstant< IsPadded_v<MT1> && IsPadded_v<MT2> >
ResultType_t< MT2 > RT2
Result type of the right-hand side dense matrix expression.
Definition: DMatTDMatMapExpr.h:100
MapTrait_t< RT1, RT2, OP > ResultType
Result type for expression template evaluations.
Definition: DMatTDMatMapExpr.h:144
#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_t< MT1 > CT1
Composite type of the left-hand side dense matrix expression.
Definition: DMatTDMatMapExpr.h:105
Header file for auxiliary alias declarations.
Header file for kernel specific block sizes.
Base class for all binary matrix map expression templates.The MatMatMapExpr class serves as a tag for...
Definition: MatMatMapExpr.h:66
Header file for basic type definitions.
Operation operation() const
Returns a copy of the custom operation.
Definition: DMatTDMatMapExpr.h:271
typename If< Condition, T1, T2 >::Type If_t
Auxiliary alias declaration for the If class template.The If_t alias declaration provides a convenien...
Definition: If.h:109
ReturnType_t< MT2 > RN2
Return type of the right-hand side dense matrix expression.
Definition: DMatTDMatMapExpr.h:104
typename T::ResultType ResultType_t
Alias declaration for nested ResultType type definitions.The ResultType_t alias declaration provides ...
Definition: Aliases.h:390
Header file for the serial shim.
typename MapTrait< Args... >::Type MapTrait_t
Auxiliary alias declaration for the MapTrait class template.The MapTrait_t alias declaration provides...
Definition: MapTrait.h:160
#define BLAZE_CONSTRAINT_MUST_BE_DENSE_MATRIX_TYPE(T)
Constraint on the data type.In case the given data type T is not a dense, N-dimensional matrix type...
Definition: DenseMatrix.h:61
RightOperand rhs_
Right-hand side dense matrix of the map expression.
Definition: DMatTDMatMapExpr.h:324
static constexpr bool smpAssignable
Compilation flag for SMP assignments.
Definition: CompressedMatrix.h:3113
size_t rows() const noexcept
Returns the current number of rows of the matrix.
Definition: DMatTDMatMapExpr.h:231
Operation op_
The custom unary operation.
Definition: DMatTDMatMapExpr.h:325
Header file for the Computation base class.
Constraints on the storage order of matrix types.
Header file for the RequiresEvaluation type trait.
OppositeType_t< ResultType > OppositeType
Result type with opposite storage order for expression template evaluations.
Definition: DMatTDMatMapExpr.h:145
typename T::ReturnType ReturnType_t
Alias declaration for nested ReturnType type definitions.The ReturnType_t alias declaration provides ...
Definition: Aliases.h:410
constexpr size_t columns(const Matrix< MT, SO > &matrix) noexcept
Returns the current number of columns of the matrix.
Definition: Matrix.h:514
Base class for dense matrices.The DenseMatrix class is a base class for all dense matrix classes...
Definition: DenseMatrix.h:80
typename T::ElementType ElementType_t
Alias declaration for nested ElementType type definitions.The ElementType_t alias declaration provide...
Definition: Aliases.h:170
ElementType_t< MT1 > ET1
Element type of the left-hand side dense matrix expression.
Definition: DMatTDMatMapExpr.h:101
Constraint on the data type.
typename EnableIf< Condition, T >::Type EnableIf_t
Auxiliary type for the EnableIf class template.The EnableIf_t alias declaration provides a convenient...
Definition: EnableIf.h:138
If_t< useAssign, const ResultType, const DMatTDMatMapExpr &> CompositeType
Data type for composite expression templates.
Definition: DMatTDMatMapExpr.h:153
bool isAligned() const noexcept
Returns whether the operands of the expression are properly aligned in memory.
Definition: DMatTDMatMapExpr.h:306
DMatTDMatMapExpr(const MT1 &lhs, const MT2 &rhs, OP op) noexcept
Constructor for the DMatTDMatMapExpr class.
Definition: DMatTDMatMapExpr.h:186
TransposeType_t< ResultType > TransposeType
Transpose type for expression template evaluations.
Definition: DMatTDMatMapExpr.h:146
Header file for the DisableIf class template.
Header file for the IsSymmetric type trait.
Namespace of the Blaze C++ math library.
Definition: Blaze.h:58
Header file for the If class template.
#define BLAZE_CONSTRAINT_MUST_BE_COLUMN_MAJOR_MATRIX_TYPE(T)
Constraint on the data type.In case the given data type T is not a column-major dense or sparse matri...
Definition: ColumnMajorMatrix.h:61
bool canSMPAssign() const noexcept
Returns whether the expression can be used in SMP assignments.
Definition: DMatTDMatMapExpr.h:316
bool canAlias(const T *alias) const noexcept
Returns whether the expression can alias with the given address alias.
Definition: DMatTDMatMapExpr.h:283
#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 DenseMatrix base class.
size_t columns() const noexcept
Returns the current number of columns of the matrix.
Definition: DMatTDMatMapExpr.h:241
Header file for all SIMD functionality.
Header file for the IsAligned type trait.
If_t< RequiresEvaluation_v< MT1 >, const RT1, CT1 > LT
Type for the assignment of the left-hand side dense matrix operand.
Definition: DMatTDMatMapExpr.h:165
ElementType_t< ResultType > ElementType
Resulting element type.
Definition: DMatTDMatMapExpr.h:147
Constraints on the storage order of matrix types.
If_t< RequiresEvaluation_v< MT2 >, const RT2, CT2 > RT
Type for the assignment of the right-hand side dense matrix operand.
Definition: DMatTDMatMapExpr.h:168
Header file for the exception macros of the math module.
static constexpr bool useAssign
Compilation switch for the serial evaluation strategy of the map expression.
Definition: DMatTDMatMapExpr.h:117
Constraint on the data type.
Header file for all forward declarations for expression class templates.
Header file for the EnableIf class template.
Header file for the IsPadded type trait.
ReturnType_t< MT1 > RN1
Return type of the left-hand side dense matrix expression.
Definition: DMatTDMatMapExpr.h:103
#define BLAZE_CONSTRAINT_MATRICES_MUST_HAVE_DIFFERENT_STORAGE_ORDER(T1, T2)
Constraint on the data type.In case either of the two given data types T1 or T2 is not a matrix type ...
Definition: StorageOrder.h:106
Expression object for the dense matrix/tranpose dense matrix map() function.The DMatTDMatMapExpr clas...
Definition: DMatTDMatMapExpr.h:93
ReturnType at(size_t i, size_t j) const
Checked access to the matrix elements.
Definition: DMatTDMatMapExpr.h:215
typename T::OppositeType OppositeType_t
Alias declaration for nested OppositeType type definitions.The OppositeType_t alias declaration provi...
Definition: Aliases.h:270
ResultType_t< MT1 > RT1
Result type of the left-hand side dense matrix expression.
Definition: DMatTDMatMapExpr.h:99
#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
ReturnType operator()(size_t i, size_t j) const
2D-access to the matrix elements.
Definition: DMatTDMatMapExpr.h:200
typename T::TransposeType TransposeType_t
Alias declaration for nested TransposeType type definitions.The TransposeType_t alias declaration pro...
Definition: Aliases.h:470
Header file for run time assertion macros.
typename T::CompositeType CompositeType_t
Alias declaration for nested CompositeType type definitions.The CompositeType_t alias declaration pro...
Definition: Aliases.h:90
auto smpAddAssign(Matrix< MT1, SO1 > &lhs, const Matrix< MT2, SO2 > &rhs) -> EnableIf_t< IsDenseMatrix_v< MT1 > >
Default implementation of the SMP addition assignment of a matrix to a dense matrix.
Definition: DenseMatrix.h:131
CompositeType_t< MT2 > CT2
Composite type of the right-hand side dense matrix expression.
Definition: DMatTDMatMapExpr.h:106
If_t< IsExpression_v< MT2 >, const MT2, const MT2 &> RightOperand
Composite type of the right-hand side dense matrix expression.
Definition: DMatTDMatMapExpr.h:159
#define BLAZE_FUNCTION_TRACE
Function trace macro.This macro can be used to reliably trace function calls. In case function tracin...
Definition: FunctionTrace.h:94
LeftOperand leftOperand() const noexcept
Returns the left-hand side dense matrix operand.
Definition: DMatTDMatMapExpr.h:251
RightOperand rightOperand() const noexcept
Returns the right-hand side dense matrix operand.
Definition: DMatTDMatMapExpr.h:261
static constexpr bool simdEnabled
Compilation switch for the expression template evaluation strategy.
Definition: DMatTDMatMapExpr.h:173
auto smpAssign(Matrix< MT1, SO1 > &lhs, const Matrix< MT2, SO2 > &rhs) -> EnableIf_t< IsDenseMatrix_v< MT1 > >
Default implementation of the SMP assignment of a matrix to a dense matrix.
Definition: DenseMatrix.h:100
Constraints on the storage order of matrix types.
decltype(auto) serial(const DenseMatrix< MT, SO > &dm)
Forces the serial evaluation of the given dense matrix expression dm.
Definition: DMatSerialExpr.h:808
LeftOperand lhs_
Left-hand side dense matrix of the map expression.
Definition: DMatTDMatMapExpr.h:323
#define BLAZE_CONSTRAINT_MUST_NOT_REQUIRE_EVALUATION(T)
Constraint on the data type.In case the given data type T requires an intermediate evaluation within ...
Definition: RequiresEvaluation.h:81
IntegralConstant< bool, B > BoolConstant
Generic wrapper for a compile time constant boolean value.The BoolConstant class template represents ...
Definition: IntegralConstant.h:101
auto smpSchurAssign(Matrix< MT1, SO1 > &lhs, const Matrix< MT2, SO2 > &rhs) -> EnableIf_t< IsDenseMatrix_v< MT1 > >
Default implementation of the SMP Schur product assignment of a matrix to dense matrix.
Definition: DenseMatrix.h:194
constexpr size_t rows(const Matrix< MT, SO > &matrix) noexcept
Returns the current number of rows of the matrix.
Definition: Matrix.h:498
#define BLAZE_CONSTRAINT_MATRICES_MUST_HAVE_SAME_STORAGE_ORDER(T1, T2)
Constraint on the data type.In case either of the two given data types T1 or T2 is not a matrix type ...
Definition: StorageOrder.h:84
OP Operation
Data type of the custom unary operation.
Definition: DMatTDMatMapExpr.h:162
static constexpr bool smpAssignable
Compilation switch for the expression template assignment strategy.
Definition: DMatTDMatMapExpr.h:176
decltype(std::declval< OP >()(std::declval< RN1 >(), std::declval< RN2 >())) ReturnType
Return type for expression template evaluations.
Definition: DMatTDMatMapExpr.h:150
decltype(auto) trans(const DenseMatrix< MT, SO > &dm)
Calculation of the transpose of the given dense matrix.
Definition: DMatTransExpr.h:765
Header file for the MatMatMapExpr base class.
auto smpSubAssign(Matrix< MT1, SO1 > &lhs, const Matrix< MT2, SO2 > &rhs) -> EnableIf_t< IsDenseMatrix_v< MT1 > >
Default implementation of the SMP subtraction assignment of a matrix to dense matrix.
Definition: DenseMatrix.h:162
Base class for all compute expression templates.The Computation class serves as a tag for all computa...
Definition: Computation.h:66
Header file for the IntegralConstant class template.
Header file for the map trait.
typename DisableIf< Condition, T >::Type DisableIf_t
Auxiliary type for the DisableIf class template.The DisableIf_t alias declaration provides a convenie...
Definition: DisableIf.h:138
bool isAliased(const T *alias) const noexcept
Returns whether the expression is aliased with the given address alias.
Definition: DMatTDMatMapExpr.h:296
ElementType_t< MT2 > ET2
Element type of the right-hand side dense matrix expression.
Definition: DMatTDMatMapExpr.h:102
If_t< IsExpression_v< MT1 >, const MT1, const MT1 &> LeftOperand
Composite type of the left-hand side dense matrix expression.
Definition: DMatTDMatMapExpr.h:156
System settings for the inline keywords.
#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
Header file for the IsExpression type trait class.
Header file for the function trace functionality.
decltype(auto) map(const DenseMatrix< MT1, SO > &lhs, const DenseMatrix< MT2, SO > &rhs, OP op)
Evaluates the given binary operation on each single element of the dense matrices lhs and rhs...
Definition: DMatDMatMapExpr.h:1110