35#ifndef _BLAZE_MATH_EXPRESSIONS_DMATTDMATMAPEXPR_H_
36#define _BLAZE_MATH_EXPRESSIONS_DMATTDMATMAPEXPR_H_
93 :
public MatMatMapExpr< DenseMatrix< DMatTDMatMapExpr<MT1,MT2,OP>, false > >
116 static constexpr bool useAssign = ( RequiresEvaluation_v<MT1> || RequiresEvaluation_v<MT2> );
120 template<
typename MT >
121 static constexpr bool UseAssign_v =
useAssign;
133 template<
typename MT >
134 static constexpr bool UseSMPAssign_v =
135 ( ( !MT1::smpAssignable || !MT2::smpAssignable ) &&
useAssign );
153 using ReturnType =
decltype( std::declval<OP>()( std::declval<RN1>(), std::declval<RN2>() ) );
179 static constexpr bool smpAssignable = ( MT1::smpAssignable && MT2::smpAssignable );
192 ,
op_ ( std::move(op) )
219 if( i >=
lhs_.rows() ) {
222 if( j >=
lhs_.columns() ) {
234 inline size_t rows() const noexcept {
245 return lhs_.columns();
285 template<
typename T >
286 inline bool canAlias(
const T* alias )
const noexcept {
287 return ( IsExpression_v<MT1> &&
lhs_.canAlias( alias ) ) ||
288 ( IsExpression_v<MT2> &&
rhs_.canAlias( alias ) );
298 template<
typename T >
299 inline bool isAliased(
const T* alias )
const noexcept {
300 return (
lhs_.isAliased( alias ) ||
rhs_.isAliased( alias ) );
310 return lhs_.isAligned() &&
rhs_.isAligned();
320 return lhs_.canSMPAssign() &&
rhs_.canSMPAssign();
345 template<
typename MT
355 constexpr size_t block( BLOCK_SIZE );
357 const size_t m( rhs.rows() );
358 const size_t n( rhs.columns() );
360 for(
size_t ii=0UL; ii<m; ii+=block ) {
361 const size_t iend( ( m < ii+block )?( m ):( ii+block ) );
362 for(
size_t jj=0UL; jj<n; jj+=block ) {
363 const size_t jend( ( n < jj+block )?( n ):( jj+block ) );
364 for(
size_t i=ii; i<iend; ++i ) {
365 for(
size_t j=jj; j<jend; ++j ) {
366 (*lhs)(i,j) = rhs.op_( rhs.lhs_(i,j), rhs.rhs_(i,j) );
389 template<
typename MT
409 assign( *lhs,
map( A, B, rhs.op_ ) );
428 template<
typename MT
430 friend inline auto assign( SparseMatrix<MT,SO>& lhs,
const DMatTDMatMapExpr& rhs )
431 -> EnableIf_t< UseAssign_v<MT> >
435 using TmpType = If_t< SO, OppositeType, ResultType >;
447 const TmpType tmp(
serial( rhs ) );
467 template<
typename MT
469 friend inline auto addAssign( DenseMatrix<MT,SO>& lhs,
const DMatTDMatMapExpr& rhs )
470 -> DisableIf_t< UseAssign_v<MT> >
477 constexpr size_t block( BLOCK_SIZE );
479 const size_t m( rhs.rows() );
480 const size_t n( rhs.columns() );
482 for(
size_t ii=0UL; ii<m; ii+=block ) {
483 const size_t iend( ( m < ii+block )?( m ):( ii+block ) );
484 for(
size_t jj=0UL; jj<n; jj+=block ) {
485 const size_t jend( ( n < jj+block )?( n ):( jj+block ) );
486 for(
size_t i=ii; i<iend; ++i ) {
487 for(
size_t j=jj; j<jend; ++j ) {
488 (*lhs)(i,j) += rhs.op_( rhs.lhs_(i,j), rhs.rhs_(i,j) );
511 template<
typename MT
513 friend inline auto addAssign( DenseMatrix<MT,SO>& lhs,
const DMatTDMatMapExpr& rhs )
514 -> EnableIf_t< UseAssign_v<MT> >
531 addAssign( *lhs,
map( A, B, rhs.op_ ) );
554 template<
typename MT
556 friend inline auto subAssign( DenseMatrix<MT,SO>& lhs,
const DMatTDMatMapExpr& rhs )
557 -> DisableIf_t< UseAssign_v<MT> >
564 constexpr size_t block( BLOCK_SIZE );
566 const size_t m( rhs.rows() );
567 const size_t n( rhs.columns() );
569 for(
size_t ii=0UL; ii<m; ii+=block ) {
570 const size_t iend( ( m < ii+block )?( m ):( ii+block ) );
571 for(
size_t jj=0UL; jj<n; jj+=block ) {
572 const size_t jend( ( n < jj+block )?( n ):( jj+block ) );
573 for(
size_t i=ii; i<iend; ++i ) {
574 for(
size_t j=jj; j<jend; ++j ) {
575 (*lhs)(i,j) -= rhs.op_( rhs.lhs_(i,j), rhs.rhs_(i,j) );
598 template<
typename MT
600 friend inline auto subAssign( DenseMatrix<MT,SO>& lhs,
const DMatTDMatMapExpr& rhs )
601 -> EnableIf_t< UseAssign_v<MT> >
618 subAssign( *lhs,
map( A, B, rhs.op_ ) );
641 template<
typename MT
643 friend inline auto schurAssign( DenseMatrix<MT,SO>& lhs,
const DMatTDMatMapExpr& rhs )
644 -> DisableIf_t< UseAssign_v<MT> >
651 constexpr size_t block( BLOCK_SIZE );
653 const size_t m( rhs.rows() );
654 const size_t n( rhs.columns() );
656 for(
size_t ii=0UL; ii<m; ii+=block ) {
657 const size_t iend( ( m < ii+block )?( m ):( ii+block ) );
658 for(
size_t jj=0UL; jj<n; jj+=block ) {
659 const size_t jend( ( n < jj+block )?( n ):( jj+block ) );
660 for(
size_t i=ii; i<iend; ++i ) {
661 for(
size_t j=jj; j<jend; ++j ) {
662 (*lhs)(i,j) *= rhs.op_( rhs.lhs_(i,j), rhs.rhs_(i,j) );
685 template<
typename MT
687 friend inline auto schurAssign( DenseMatrix<MT,SO>& lhs,
const DMatTDMatMapExpr& rhs )
688 -> EnableIf_t< UseAssign_v<MT> >
705 schurAssign( *lhs,
map( A, B, rhs.op_ ) );
736 template<
typename MT
739 -> EnableIf_t< UseSMPAssign_v<MT> >
775 template<
typename MT
778 -> EnableIf_t< UseSMPAssign_v<MT> >
782 using TmpType = If_t< SO, OppositeType, ResultType >;
794 const TmpType tmp( rhs );
815 template<
typename MT
818 -> EnableIf_t< UseSMPAssign_v<MT> >
859 template<
typename MT
862 -> EnableIf_t< UseSMPAssign_v<MT> >
903 template<
typename MT
906 -> EnableIf_t< UseSMPAssign_v<MT> >
973template<
typename MT1
976 , EnableIf_t< !IsSymmetric_v<MT1> && !IsSymmetric_v<MT2> >* =
nullptr >
977inline const DMatTDMatMapExpr<MT1,MT2,OP>
978 map_backend(
const DenseMatrix<MT1,false>& lhs,
const DenseMatrix<MT2,true>& rhs, OP op )
985 return DMatTDMatMapExpr<MT1,MT2,OP>( *lhs, *rhs, std::move(op) );
1005template<
typename MT1
1008 , EnableIf_t< IsSymmetric_v<MT1> && !IsSymmetric_v<MT2> >* =
nullptr >
1009inline decltype(
auto)
1010 map_backend(
const DenseMatrix<MT1,false>& lhs,
const DenseMatrix<MT2,true>& rhs, OP op )
1017 return map(
trans( *lhs ), *rhs, std::move(op) );
1038template<
typename MT1
1041 , EnableIf_t< IsSymmetric_v<MT2> >* =
nullptr >
1042inline decltype(
auto)
1043 map_backend(
const DenseMatrix<MT1,false>& lhs,
const DenseMatrix<MT2,true>& rhs, OP op )
1050 return map( *lhs,
trans( *rhs ), std::move(op) );
1081template<
typename MT1
1084inline decltype(
auto)
1089 if( (*lhs).rows() != (*rhs).rows() || (*lhs).columns() != (*rhs).columns() ) {
1093 return map_backend( *lhs, *rhs, std::move(op) );
1112template<
typename MT1
1115 , EnableIf_t< !IsSymmetric_v<MT1> && !IsSymmetric_v<MT2> >* =
nullptr >
1116inline const DMatTDMatMapExpr<MT1,MT2,OP>
1117 map_backend(
const DenseMatrix<MT1,true>& lhs,
const DenseMatrix<MT2,false>& rhs, OP op )
1124 return DMatTDMatMapExpr<MT1,MT2,OP>( *lhs, *rhs, std::move(op) );
1144template<
typename MT1
1147 , EnableIf_t< !IsSymmetric_v<MT1> && IsSymmetric_v<MT2> >* =
nullptr >
1148inline decltype(
auto)
1149 map_backend(
const DenseMatrix<MT1,true>& lhs,
const DenseMatrix<MT2,false>& rhs, OP op )
1156 return map( *lhs,
trans( *rhs ), std::move(op) );
1177template<
typename MT1
1180 , EnableIf_t< IsSymmetric_v<MT1> >* =
nullptr >
1181inline decltype(
auto)
1182 map_backend(
const DenseMatrix<MT1,true>& lhs,
const DenseMatrix<MT2,false>& rhs, OP op )
1189 return map(
trans( *lhs ), *rhs, std::move(op) );
1220template<
typename MT1
1223inline decltype(
auto)
1228 if( (*lhs).rows() != (*rhs).rows() || (*lhs).columns() != (*rhs).columns() ) {
1232 return map_backend( *lhs, *rhs, std::move(op) );
1247template<
typename MT1,
typename MT2,
typename OP >
1248struct IsAligned< DMatTDMatMapExpr<MT1,MT2,OP> >
1249 :
public BoolConstant< IsAligned_v<MT1> && IsAligned_v<MT2> >
1265template<
typename MT1,
typename MT2,
typename OP >
1266struct IsPadded< DMatTDMatMapExpr<MT1,MT2,OP> >
1267 :
public BoolConstant< IsPadded_v<MT1> && IsPadded_v<MT2> >
Header file for auxiliary alias declarations.
typename T::CompositeType CompositeType_t
Alias declaration for nested CompositeType type definitions.
Definition: Aliases.h:110
typename T::ReturnType ReturnType_t
Alias declaration for nested ReturnType type definitions.
Definition: Aliases.h:470
typename T::ResultType ResultType_t
Alias declaration for nested ResultType type definitions.
Definition: Aliases.h:450
typename T::ElementType ElementType_t
Alias declaration for nested ElementType type definitions.
Definition: Aliases.h:190
typename T::OppositeType OppositeType_t
Alias declaration for nested OppositeType type definitions.
Definition: Aliases.h:310
typename T::TransposeType TransposeType_t
Alias declaration for nested TransposeType type definitions.
Definition: Aliases.h:550
Header file for run time assertion macros.
Header file for kernel specific block sizes.
Constraints on the storage order of matrix types.
Header file for the EnableIf class template.
Header file for the function trace functionality.
Header file for the If class template.
Header file for the IntegralConstant class template.
Header file for the IsAligned type trait.
Header file for the IsExpression type trait class.
Header file for the IsPadded type trait.
Header file for the IsSymmetric type trait.
Header file for the map trait.
Constraints on the storage order of matrix types.
Header file for all SIMD functionality.
Expression object for the dense matrix/tranpose dense matrix map() function.
Definition: DMatTDMatMapExpr.h:95
RightOperand rhs_
Right-hand side dense matrix of the map expression.
Definition: DMatTDMatMapExpr.h:327
bool isAligned() const noexcept
Returns whether the operands of the expression are properly aligned in memory.
Definition: DMatTDMatMapExpr.h:309
DMatTDMatMapExpr(const MT1 &lhs, const MT2 &rhs, OP op) noexcept
Constructor for the DMatTDMatMapExpr class.
Definition: DMatTDMatMapExpr.h:189
ElementType_t< ResultType > ElementType
Resulting element type.
Definition: DMatTDMatMapExpr.h:150
ReturnType_t< MT2 > RN2
Return type of the right-hand side dense matrix expression.
Definition: DMatTDMatMapExpr.h:103
CompositeType_t< MT1 > CT1
Composite type of the left-hand side dense matrix expression.
Definition: DMatTDMatMapExpr.h:104
If_t< IsExpression_v< MT2 >, const MT2, const MT2 & > RightOperand
Composite type of the right-hand side dense matrix expression.
Definition: DMatTDMatMapExpr.h:162
Operation operation() const
Returns a copy of the custom operation.
Definition: DMatTDMatMapExpr.h:274
RightOperand rightOperand() const noexcept
Returns the right-hand side dense matrix operand.
Definition: DMatTDMatMapExpr.h:264
LeftOperand leftOperand() const noexcept
Returns the left-hand side dense matrix operand.
Definition: DMatTDMatMapExpr.h:254
bool isAliased(const T *alias) const noexcept
Returns whether the expression is aliased with the given address alias.
Definition: DMatTDMatMapExpr.h:299
If_t< IsExpression_v< MT1 >, const MT1, const MT1 & > LeftOperand
Composite type of the left-hand side dense matrix expression.
Definition: DMatTDMatMapExpr.h:159
ReturnType_t< MT1 > RN1
Return type of the left-hand side dense matrix expression.
Definition: DMatTDMatMapExpr.h:102
size_t columns() const noexcept
Returns the current number of columns of the matrix.
Definition: DMatTDMatMapExpr.h:244
If_t< useAssign, const ResultType, const DMatTDMatMapExpr & > CompositeType
Data type for composite expression templates.
Definition: DMatTDMatMapExpr.h:156
OppositeType_t< ResultType > OppositeType
Result type with opposite storage order for expression template evaluations.
Definition: DMatTDMatMapExpr.h:148
static constexpr bool smpAssignable
Compilation switch for the expression template assignment strategy.
Definition: DMatTDMatMapExpr.h:179
ReturnType at(size_t i, size_t j) const
Checked access to the matrix elements.
Definition: DMatTDMatMapExpr.h:218
ElementType_t< MT1 > ET1
Element type of the left-hand side dense matrix expression.
Definition: DMatTDMatMapExpr.h:100
ResultType_t< MT2 > RT2
Result type of the right-hand side dense matrix expression.
Definition: DMatTDMatMapExpr.h:99
If_t< RequiresEvaluation_v< MT2 >, const RT2, CT2 > RT
Type for the assignment of the right-hand side dense matrix operand.
Definition: DMatTDMatMapExpr.h:171
Operation op_
The custom unary operation.
Definition: DMatTDMatMapExpr.h:328
OP Operation
Data type of the custom unary operation.
Definition: DMatTDMatMapExpr.h:165
MapTrait_t< RT1, RT2, OP > ResultType
Result type for expression template evaluations.
Definition: DMatTDMatMapExpr.h:147
bool canAlias(const T *alias) const noexcept
Returns whether the expression can alias with the given address alias.
Definition: DMatTDMatMapExpr.h:286
decltype(std::declval< OP >()(std::declval< RN1 >(), std::declval< RN2 >())) ReturnType
Return type for expression template evaluations.
Definition: DMatTDMatMapExpr.h:153
bool canSMPAssign() const noexcept
Returns whether the expression can be used in SMP assignments.
Definition: DMatTDMatMapExpr.h:319
LeftOperand lhs_
Left-hand side dense matrix of the map expression.
Definition: DMatTDMatMapExpr.h:326
If_t< RequiresEvaluation_v< MT1 >, const RT1, CT1 > LT
Type for the assignment of the left-hand side dense matrix operand.
Definition: DMatTDMatMapExpr.h:168
size_t rows() const noexcept
Returns the current number of rows of the matrix.
Definition: DMatTDMatMapExpr.h:234
static constexpr bool useAssign
Compilation switch for the serial evaluation strategy of the map expression.
Definition: DMatTDMatMapExpr.h:116
CompositeType_t< MT2 > CT2
Composite type of the right-hand side dense matrix expression.
Definition: DMatTDMatMapExpr.h:105
static constexpr bool simdEnabled
Compilation switch for the expression template evaluation strategy.
Definition: DMatTDMatMapExpr.h:176
TransposeType_t< ResultType > TransposeType
Transpose type for expression template evaluations.
Definition: DMatTDMatMapExpr.h:149
ReturnType operator()(size_t i, size_t j) const
2D-access to the matrix elements.
Definition: DMatTDMatMapExpr.h:203
ElementType_t< MT2 > ET2
Element type of the right-hand side dense matrix expression.
Definition: DMatTDMatMapExpr.h:101
ResultType_t< MT1 > RT1
Result type of the left-hand side dense matrix expression.
Definition: DMatTDMatMapExpr.h:98
Base class for dense matrices.
Definition: DenseMatrix.h:82
Constraint on the data type.
Constraint on the data type.
Header file for the Computation base class.
Header file for the DenseMatrix base class.
Header file for the MatMatMapExpr base class.
decltype(auto) map(const DenseMatrix< MT1, true > &lhs, const DenseMatrix< MT2, false > &rhs, OP op)
Evaluates the given binary operation on each single element of the column-major dense matrix lhs and ...
Definition: DMatTDMatMapExpr.h:1224
decltype(auto) trans(const DenseMatrix< MT, SO > &dm)
Calculation of the transpose of the given dense matrix.
Definition: DMatTransExpr.h:766
decltype(auto) serial(const DenseMatrix< MT, SO > &dm)
Forces the serial evaluation of the given dense matrix expression dm.
Definition: DMatSerialExpr.h:812
#define BLAZE_CONSTRAINT_MUST_BE_ROW_MAJOR_MATRIX_TYPE(T)
Constraint on the data type.
Definition: RowMajorMatrix.h:61
#define BLAZE_CONSTRAINT_MATRICES_MUST_HAVE_SAME_STORAGE_ORDER(T1, T2)
Constraint on the data type.
Definition: StorageOrder.h:84
#define BLAZE_CONSTRAINT_MUST_NOT_REQUIRE_EVALUATION(T)
Constraint on the data type.
Definition: RequiresEvaluation.h:81
#define BLAZE_CONSTRAINT_MATRICES_MUST_HAVE_DIFFERENT_STORAGE_ORDER(T1, T2)
Constraint on the data type.
Definition: StorageOrder.h:106
#define BLAZE_CONSTRAINT_MUST_BE_DENSE_MATRIX_TYPE(T)
Constraint on the data type.
Definition: DenseMatrix.h:61
#define BLAZE_CONSTRAINT_MUST_BE_COLUMN_MAJOR_MATRIX_TYPE(T)
Constraint on the data type.
Definition: ColumnMajorMatrix.h:61
typename MapTrait< Args... >::Type MapTrait_t
Auxiliary alias declaration for the MapTrait class template.
Definition: MapTrait.h:131
#define BLAZE_INTERNAL_ASSERT(expr, msg)
Run time assertion macro for internal checks.
Definition: Assert.h:101
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
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
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
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
typename EnableIf< Condition, T >::Type EnableIf_t
Auxiliary type for the EnableIf class template.
Definition: EnableIf.h:138
typename If< Condition >::template Type< T1, T2 > If_t
Auxiliary alias template for the If class template.
Definition: If.h:108
IntegralConstant< bool, B > BoolConstant
Generic wrapper for a compile time constant boolean value.
Definition: IntegralConstant.h:110
#define BLAZE_THROW_OUT_OF_RANGE(MESSAGE)
Macro for the emission of a std::out_of_range exception.
Definition: Exception.h:331
#define BLAZE_THROW_INVALID_ARGUMENT(MESSAGE)
Macro for the emission of a std::invalid_argument exception.
Definition: Exception.h:235
typename EnableIf<!Condition, T >::Type DisableIf_t
Auxiliary type for the EnableIf class template.
Definition: EnableIf.h:175
#define BLAZE_FUNCTION_TRACE
Function trace macro.
Definition: FunctionTrace.h:94
Header file for the exception macros of the math module.
Constraints on the storage order of matrix types.
Header file for all forward declarations for expression class templates.
Header file for the serial shim.
Base class for all compute expression templates.
Definition: Computation.h:68
Base class for all binary matrix map expression templates.
Definition: MatMatMapExpr.h:68
System settings for the inline keywords.
Header file for the RequiresEvaluation type trait.
Header file for basic type definitions.