35 #ifndef _BLAZE_MATH_EXPRESSIONS_DMATTDMATADDEXPR_H_
36 #define _BLAZE_MATH_EXPRESSIONS_DMATTDMATADDEXPR_H_
105 template<
typename MT1
145 template<
typename MT >
148 enum :
bool { value = useAssign };
161 template<
typename MT >
162 struct UseSMPAssign {
163 enum :
bool { value = ( !MT1::smpAssignable || !MT2::smpAssignable ) && useAssign };
191 enum :
bool { simdEnabled =
false };
194 enum :
bool { smpAssignable = MT1::smpAssignable && MT2::smpAssignable };
234 inline ReturnType
at(
size_t i,
size_t j )
const {
235 if( i >=
lhs_.rows() ) {
238 if( j >=
lhs_.columns() ) {
250 inline size_t rows() const noexcept {
261 return lhs_.columns();
291 template<
typename T >
292 inline bool canAlias(
const T* alias )
const noexcept {
304 template<
typename T >
305 inline bool isAliased(
const T* alias )
const noexcept {
306 return (
lhs_.isAliased( alias ) ||
rhs_.isAliased( alias ) );
316 return lhs_.isAligned() &&
rhs_.isAligned();
326 return lhs_.canSMPAssign() ||
rhs_.canSMPAssign() ||
327 (
rows() *
columns() >= SMP_DMATTDMATADD_THRESHOLD );
351 template<
typename MT
361 const size_t m( rhs.
rows() );
362 const size_t n( rhs.
columns() );
363 const size_t block( BLOCK_SIZE );
365 for(
size_t ii=0UL; ii<m; ii+=block ) {
366 const size_t iend( ( m < ii+block )?( m ):( ii+block ) );
367 for(
size_t jj=0UL; jj<n; jj+=block ) {
368 const size_t jend( ( n < jj+block )?( n ):( jj+block ) );
369 for(
size_t i=ii; i<iend; ++i ) {
370 for(
size_t j=jj; j<jend; ++j ) {
371 (~lhs)(i,j) = rhs.
lhs_(i,j) + rhs.
rhs_(i,j);
394 template<
typename MT
405 addAssign( ~lhs, rhs.
rhs_ );
407 else if( !IsExpression<MT2>::value &&
isSame( ~lhs, rhs.
rhs_ ) ) {
408 addAssign( ~lhs, rhs.
lhs_ );
411 assign ( ~lhs, rhs.
lhs_ );
412 addAssign( ~lhs, rhs.
rhs_ );
430 template<
typename MT
432 friend inline void assign( SparseMatrix<MT,SO2>& lhs,
const DMatTDMatAddExpr& rhs )
436 typedef IfTrue_< SO2, OppositeType, ResultType > TmpType;
448 const TmpType tmp(
serial( rhs ) );
468 template<
typename MT
470 friend inline DisableIf_< UseAssign<MT> >
478 const size_t m( rhs.rows() );
479 const size_t n( rhs.columns() );
480 const size_t block( BLOCK_SIZE );
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.lhs_(i,j) + rhs.rhs_(i,j);
511 template<
typename MT
513 friend inline EnableIf_< UseAssign<MT> >
521 addAssign( ~lhs, rhs.lhs_ );
522 addAssign( ~lhs, rhs.rhs_ );
545 template<
typename MT
547 friend inline DisableIf_< UseAssign<MT> >
555 const size_t m( rhs.rows() );
556 const size_t n( rhs.columns() );
557 const size_t block( BLOCK_SIZE );
559 for(
size_t ii=0UL; ii<m; ii+=block ) {
560 const size_t iend( ( m < ii+block )?( m ):( ii+block ) );
561 for(
size_t jj=0UL; jj<n; jj+=block ) {
562 const size_t jend( ( n < jj+block )?( n ):( jj+block ) );
563 for(
size_t i=ii; i<iend; ++i ) {
564 for(
size_t j=jj; j<jend; ++j ) {
565 (~lhs)(i,j) -= rhs.lhs_(i,j) + rhs.rhs_(i,j);
588 template<
typename MT
590 friend inline EnableIf_< UseAssign<MT> >
598 subAssign( ~lhs, rhs.lhs_ );
599 subAssign( ~lhs, rhs.rhs_ );
630 template<
typename MT
632 friend inline EnableIf_< UseSMPAssign<MT> >
640 if( !IsExpression<MT1>::value &&
isSame( ~lhs, rhs.lhs_ ) ) {
643 else if( !IsExpression<MT2>::value &&
isSame( ~lhs, rhs.rhs_ ) ) {
668 template<
typename MT
670 friend inline EnableIf_< UseSMPAssign<MT> >
675 typedef IfTrue_< SO2, OppositeType, ResultType > TmpType;
687 const TmpType tmp( rhs );
708 template<
typename MT
710 friend inline EnableIf_< UseSMPAssign<MT> >
743 template<
typename MT
745 friend inline EnableIf_< UseSMPAssign<MT> >
821 template<
typename T1
823 inline EnableIf_< And< Not< IsSymmetric<T1> >, Not< IsSymmetric<T2> > >
824 ,
const DMatTDMatAddExpr<T1,T2> >
867 template<
typename T1
869 inline EnableIf_< And< Not< IsSymmetric<T1> >, Not< IsSymmetric<T2> > >
870 ,
const DMatTDMatAddExpr<T2,T1> >
906 template<
typename T1
908 inline EnableIf_< And< IsSymmetric<T1>, Not< IsSymmetric<T2> > >,
const AddExprTrait_<T1,T2> >
909 operator+(
const DenseMatrix<T1,false>& lhs,
const DenseMatrix<T2,true>& rhs )
917 return trans( ~lhs ) + ~rhs;
937 template<
typename T1
939 inline EnableIf_< IsSymmetric<T2>,
const AddExprTrait_<T1,T2> >
940 operator+(
const DenseMatrix<T1,false>& lhs,
const DenseMatrix<T2,true>& rhs )
948 return (~lhs) +
trans( ~rhs );
968 template<
typename T1
970 inline EnableIf_< And< Not< IsSymmetric<T1> >, IsSymmetric<T2> >,
const AddExprTrait_<T2,T1> >
971 operator+(
const DenseMatrix<T1,true>& lhs,
const DenseMatrix<T2,false>& rhs )
979 return trans( ~rhs ) + (~lhs);
999 template<
typename T1
1001 inline EnableIf_< IsSymmetric<T1>,
const AddExprTrait_<T2,T1> >
1002 operator+(
const DenseMatrix<T1,true>& lhs,
const DenseMatrix<T2,false>& rhs )
1010 return (~rhs) +
trans( ~lhs );
1026 template<
typename MT1,
typename MT2 >
1028 :
public Max< Rows<MT1>, Rows<MT2> >
1044 template<
typename MT1,
typename MT2 >
1046 :
public Max< Columns<MT1>, Columns<MT2> >
1062 template<
typename MT1,
typename MT2 >
1064 :
public BoolConstant< And< IsAligned<MT1>, IsAligned<MT2> >::value >
1080 template<
typename MT1,
typename MT2 >
1082 :
public BoolConstant< IsSymmetric<MT1>::value && IsSymmetric<MT2>::value >
1098 template<
typename MT1,
typename MT2 >
1100 :
public BoolConstant< IsHermitian<MT1>::value && IsHermitian<MT2>::value >
1116 template<
typename MT1,
typename MT2 >
1118 :
public BoolConstant< And< IsLower<MT1>, IsLower<MT2> >::value >
1134 template<
typename MT1,
typename MT2 >
1136 :
public BoolConstant< Or< And< IsUniLower<MT1>, IsStrictlyLower<MT2> >
1137 , And< IsUniLower<MT2>, IsStrictlyLower<MT1> > >::value >
1153 template<
typename MT1,
typename MT2 >
1155 :
public BoolConstant< And< IsStrictlyLower<MT1>, IsStrictlyLower<MT2> >::value >
1171 template<
typename MT1,
typename MT2 >
1173 :
public BoolConstant< And< IsUpper<MT1>, IsUpper<MT2> >::value >
1189 template<
typename MT1,
typename MT2 >
1191 :
public BoolConstant< Or< And< IsUniUpper<MT1>, IsStrictlyUpper<MT2> >
1192 , And< IsUniUpper<MT2>, IsStrictlyUpper<MT1> > >::value >
1208 template<
typename MT1,
typename MT2 >
1210 :
public BoolConstant< And< IsStrictlyUpper<MT1>, IsStrictlyUpper<MT2> >::value >
1226 template<
typename MT1,
typename MT2,
bool AF >
1231 using Type = AddExprTrait_< SubmatrixExprTrait_<const MT1,AF>
1232 , SubmatrixExprTrait_<const MT2,AF> >;
1241 template<
typename MT1,
typename MT2 >
1246 using Type = AddExprTrait_< RowExprTrait_<const MT1>
1247 , RowExprTrait_<const MT2> >;
1256 template<
typename MT1,
typename MT2 >
1261 using Type = AddExprTrait_< ColumnExprTrait_<const MT1>
1262 , ColumnExprTrait_<const MT2> >;
ReturnType_< MT2 > RN2
Return type of the right-hand side dense matrix expression.
Definition: DMatTDMatAddExpr.h:116
#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
TransposeType_< ResultType > TransposeType
Transpose type for expression template evaluations.
Definition: DMatTDMatAddExpr.h:173
Header file for auxiliary alias declarations.
Header file for the Max class template.
Header file for kernel specific block sizes.
Compile time check whether the given type is a temporary vector or matrix type.This type trait class ...
Definition: IsTemporary.h:70
Header file for the Rows type trait.
DMatTDMatAddExpr(const MT1 &lhs, const MT2 &rhs) noexcept
Constructor for the DMatTDMatAddExpr class.
Definition: DMatTDMatAddExpr.h:203
Header file for the IsUniUpper type trait.
If_< IsExpression< MT2 >, const MT2, const MT2 & > RightOperand
Composite type of the right-hand side dense matrix expression.
Definition: DMatTDMatAddExpr.h:186
BLAZE_ALWAYS_INLINE bool isSame(const Matrix< MT1, SO1 > &a, const Matrix< MT2, SO2 > &b) noexcept
Returns whether the two given matrices represent the same observable state.
Definition: Matrix.h:653
Header file for basic type definitions.
ElementType_< ResultType > ElementType
Resulting element type.
Definition: DMatTDMatAddExpr.h:174
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 serial shim.
#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
Header file for the ColumnExprTrait class template.
size_t columns() const noexcept
Returns the current number of columns of the matrix.
Definition: DMatTDMatAddExpr.h:260
const DenseIterator< Type, AF > operator+(const DenseIterator< Type, AF > &it, ptrdiff_t inc) noexcept
Addition between a DenseIterator and an integral value.
Definition: DenseIterator.h:699
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.
Header file for the AddExprTrait 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:723
bool canSMPAssign() const noexcept
Returns whether the expression can be used in SMP assignments.
Definition: DMatTDMatAddExpr.h:325
Header file for the Computation base class.
Constraints on the storage order of matrix types.
Header file for the RequiresEvaluation type trait.
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
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
Base class for dense matrices.The DenseMatrix class is a base class for all dense matrix classes...
Definition: DenseMatrix.h:70
Constraint on the data type.
typename IfTrue< Condition, T1, T2 >::Type IfTrue_
Auxiliary alias declaration for the IfTrue class template.The IfTrue_ alias declaration provides a co...
Definition: If.h:109
typename T::ReturnType ReturnType_
Alias declaration for nested ReturnType type definitions.The ReturnType_ alias declaration provides a...
Definition: Aliases.h:343
Constraint on the data type.
Compile time check to query the requirement to evaluate an expression.Via this type trait it is possi...
Definition: RequiresEvaluation.h:72
typename T::CompositeType CompositeType_
Alias declaration for nested CompositeType type definitions.The CompositeType_ alias declaration prov...
Definition: Aliases.h:83
Header file for the DisableIf class template.
Header file for the IsTemporary type trait class.
ReturnType at(size_t i, size_t j) const
Checked access to the matrix elements.
Definition: DMatTDMatAddExpr.h:234
Header file for the IsStrictlyUpper type trait.
Header file for the IsSymmetric type trait.
const ResultType CompositeType
Data type for composite expression templates.
Definition: DMatTDMatAddExpr.h:180
typename AddExprTrait< T1, T2 >::Type AddExprTrait_
Auxiliary alias declaration for the AddExprTrait class template.The AddExprTrait_ alias declaration p...
Definition: AddExprTrait.h:219
Namespace of the Blaze C++ math library.
Definition: Blaze.h:57
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
If_< IsExpression< MT1 >, const MT1, const MT1 & > LeftOperand
Composite type of the left-hand side dense matrix expression.
Definition: DMatTDMatAddExpr.h:183
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.
#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.
Header file for the Columns type trait.
ResultType_< MT2 > RT2
Result type of the right-hand side dense matrix expression.
Definition: DMatTDMatAddExpr.h:114
Header file for the Not class template.
typename T::ElementType ElementType_
Alias declaration for nested ElementType type definitions.The ElementType_ alias declaration provides...
Definition: Aliases.h:163
Base class for all matrix/matrix addition expression templates.The MatMatAddExpr class serves as a ta...
Definition: MatMatAddExpr.h:65
AddTrait_< RT1, RT2 > ResultType
Result type for expression template evaluations.
Definition: DMatTDMatAddExpr.h:171
Header file for the IsLower type trait.
Header file for the IsAligned type trait.
#define BLAZE_CONSTRAINT_MUST_BE_REFERENCE_TYPE(T)
Constraint on the data type.In case the given data type T is not a reference type, a compilation error is created.
Definition: Reference.h:60
OppositeType_< ResultType > OppositeType
Result type with opposite storage order for expression template evaluations.
Definition: DMatTDMatAddExpr.h:172
Constraints on the storage order of matrix types.
Header file for the exception macros of the math module.
RightOperand rightOperand() const noexcept
Returns the right-hand side transpose dense matrix operand.
Definition: DMatTDMatAddExpr.h:280
#define BLAZE_CONSTRAINT_MUST_FORM_VALID_MATMATADDEXPR(T1, T2)
Constraint on the data type.In case the given data types T1 and T2 do not form a valid matrix/matrix ...
Definition: MatMatAddExpr.h:109
bool isAligned() const noexcept
Returns whether the operands of the expression are properly aligned in memory.
Definition: DMatTDMatAddExpr.h:315
AddExprTrait_< RN1, RN2 > ExprReturnType
Expression return type for the subscript operator.
Definition: DMatTDMatAddExpr.h:131
Header file for the RowExprTrait class template.
Header file for all forward declarations for expression class templates.
Header file for the EnableIf class template.
Header file for the IsStrictlyLower type trait.
DMatTDMatAddExpr< MT1, MT2 > This
Type of this DMatTDMatAdd instance.
Definition: DMatTDMatAddExpr.h:170
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
LeftOperand lhs_
Left-hand side dense matrix of the addition expression.
Definition: DMatTDMatAddExpr.h:333
Header file for run time assertion macros.
Header file for the addition trait.
RightOperand rhs_
Right-hand side dense matrix of the addition expression.
Definition: DMatTDMatAddExpr.h:334
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
Constraint on the data type.
ReturnType_< MT1 > RN1
Return type of the left-hand side dense matrix expression.
Definition: DMatTDMatAddExpr.h:115
Constraints on the storage order of matrix types.
Header file for the MatMatAddExpr base class.
IntegralConstant< bool, B > BoolConstant
Generic wrapper for a compile time constant boolean value.The BoolConstant class template represents ...
Definition: IntegralConstant.h:100
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
#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
CompositeType_< MT1 > CT1
Composite type of the left-hand side dense matrix expression.
Definition: DMatTDMatAddExpr.h:117
ResultType_< MT1 > RT1
Result type of the left-hand side dense matrix expression.
Definition: DMatTDMatAddExpr.h:113
ReturnType operator()(size_t i, size_t j) const
2D-access to the matrix elements.
Definition: DMatTDMatAddExpr.h:219
const IfTrue_< returnExpr, ExprReturnType, ElementType > ReturnType
Return type for expression template evaluations.
Definition: DMatTDMatAddExpr.h:177
bool canAlias(const T *alias) const noexcept
Returns whether the expression can alias with the given address alias.
Definition: DMatTDMatAddExpr.h:292
const DMatTransExpr< MT,!SO > trans(const DenseMatrix< MT, SO > &dm)
Calculation of the transpose of the given dense matrix.
Definition: DMatTransExpr.h:950
Base class for all compute expression templates.The Computation class serves as a tag for all computa...
Definition: Computation.h:59
#define BLAZE_FUNCTION_TRACE
Function trace macro.This macro can be used to reliably trace function calls. In case function tracin...
Definition: FunctionTrace.h:157
LeftOperand leftOperand() const noexcept
Returns the left-hand side dense matrix operand.
Definition: DMatTDMatAddExpr.h:270
Header file for the IntegralConstant class template.
bool isAliased(const T *alias) const noexcept
Returns whether the expression is aliased with the given address alias.
Definition: DMatTDMatAddExpr.h:305
CompositeType_< MT2 > CT2
Composite type of the right-hand side dense matrix expression.
Definition: DMatTDMatAddExpr.h:118
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.
Header file for the IsHermitian type trait.
Header file for the thresholds for matrix/vector and matrix/matrix multiplications.
typename AddTrait< T1, T2 >::Type AddTrait_
Auxiliary alias declaration for the AddTrait class template.The AddTrait_ alias declaration provides ...
Definition: AddTrait.h:245
#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
Compile time check whether the given type is an expression template.This type trait class tests wheth...
Definition: IsExpression.h:71
size_t rows() const noexcept
Returns the current number of rows of the matrix.
Definition: DMatTDMatAddExpr.h:250
Header file for the IsExpression type trait class.
Header file for the FunctionTrace class.
Expression object for dense matrix-transpose dense matrix additions.The DMatTDMatAddExpr class repres...
Definition: DMatTDMatAddExpr.h:107