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 constexpr
size_t block( BLOCK_SIZE );
363 const size_t m( rhs.
rows() );
364 const size_t n( rhs.
columns() );
366 for(
size_t ii=0UL; ii<m; ii+=block ) {
367 const size_t iend( ( m < ii+block )?( m ):( ii+block ) );
368 for(
size_t jj=0UL; jj<n; jj+=block ) {
369 const size_t jend( ( n < jj+block )?( n ):( jj+block ) );
370 for(
size_t i=ii; i<iend; ++i ) {
371 for(
size_t j=jj; j<jend; ++j ) {
372 (~lhs)(i,j) = rhs.
lhs_(i,j) + rhs.
rhs_(i,j);
395 template<
typename MT
406 addAssign( ~lhs, rhs.
rhs_ );
409 addAssign( ~lhs, rhs.
lhs_ );
412 assign ( ~lhs, rhs.
lhs_ );
413 addAssign( ~lhs, rhs.
rhs_ );
431 template<
typename MT
449 const TmpType tmp(
serial( rhs ) );
469 template<
typename MT
479 constexpr
size_t block( BLOCK_SIZE );
481 const size_t m( rhs.
rows() );
482 const size_t n( rhs.
columns() );
484 for(
size_t ii=0UL; ii<m; ii+=block ) {
485 const size_t iend( ( m < ii+block )?( m ):( ii+block ) );
486 for(
size_t jj=0UL; jj<n; jj+=block ) {
487 const size_t jend( ( n < jj+block )?( n ):( jj+block ) );
488 for(
size_t i=ii; i<iend; ++i ) {
489 for(
size_t j=jj; j<jend; ++j ) {
490 (~lhs)(i,j) += rhs.
lhs_(i,j) + rhs.
rhs_(i,j);
513 template<
typename MT
523 addAssign( ~lhs, rhs.
lhs_ );
524 addAssign( ~lhs, rhs.
rhs_ );
547 template<
typename MT
557 constexpr
size_t block( BLOCK_SIZE );
559 const size_t m( rhs.
rows() );
560 const size_t n( rhs.
columns() );
562 for(
size_t ii=0UL; ii<m; ii+=block ) {
563 const size_t iend( ( m < ii+block )?( m ):( ii+block ) );
564 for(
size_t jj=0UL; jj<n; jj+=block ) {
565 const size_t jend( ( n < jj+block )?( n ):( jj+block ) );
566 for(
size_t i=ii; i<iend; ++i ) {
567 for(
size_t j=jj; j<jend; ++j ) {
568 (~lhs)(i,j) -= rhs.
lhs_(i,j) + rhs.
rhs_(i,j);
591 template<
typename MT
601 subAssign( ~lhs, rhs.
lhs_ );
602 subAssign( ~lhs, rhs.
rhs_ );
633 template<
typename MT
671 template<
typename MT
690 const TmpType tmp( rhs );
711 template<
typename MT
746 template<
typename MT
824 template<
typename T1
870 template<
typename T1
872 inline EnableIf_< And< Not< IsSymmetric<T1> >, Not< IsSymmetric<T2> > >
909 template<
typename T1
920 return trans( ~lhs ) + ~rhs;
940 template<
typename T1
951 return (~lhs) +
trans( ~rhs );
971 template<
typename T1
982 return trans( ~rhs ) + (~lhs);
1002 template<
typename T1
1013 return (~rhs) +
trans( ~lhs );
1029 template<
typename MT1,
typename MT2 >
1030 struct Rows< DMatTDMatAddExpr<MT1,MT2> >
1031 :
public Max< Rows<MT1>, Rows<MT2> >
1047 template<
typename MT1,
typename MT2 >
1048 struct Columns< DMatTDMatAddExpr<MT1,MT2> >
1049 :
public Max< Columns<MT1>, Columns<MT2> >
1065 template<
typename MT1,
typename MT2 >
1066 struct IsAligned< DMatTDMatAddExpr<MT1,MT2> >
1067 :
public BoolConstant< And< IsAligned<MT1>, IsAligned<MT2> >::value >
1083 template<
typename MT1,
typename MT2 >
1085 :
public BoolConstant< IsSymmetric<MT1>::value && IsSymmetric<MT2>::value >
1101 template<
typename MT1,
typename MT2 >
1103 :
public BoolConstant< IsHermitian<MT1>::value && IsHermitian<MT2>::value >
1119 template<
typename MT1,
typename MT2 >
1120 struct IsLower< DMatTDMatAddExpr<MT1,MT2> >
1121 :
public BoolConstant< And< IsLower<MT1>, IsLower<MT2> >::value >
1137 template<
typename MT1,
typename MT2 >
1138 struct IsUniLower< DMatTDMatAddExpr<MT1,MT2> >
1139 :
public BoolConstant< Or< And< IsUniLower<MT1>, IsStrictlyLower<MT2> >
1140 , And< IsUniLower<MT2>, IsStrictlyLower<MT1> > >::value >
1156 template<
typename MT1,
typename MT2 >
1158 :
public BoolConstant< And< IsStrictlyLower<MT1>, IsStrictlyLower<MT2> >::value >
1174 template<
typename MT1,
typename MT2 >
1175 struct IsUpper< DMatTDMatAddExpr<MT1,MT2> >
1176 :
public BoolConstant< And< IsUpper<MT1>, IsUpper<MT2> >::value >
1192 template<
typename MT1,
typename MT2 >
1193 struct IsUniUpper< DMatTDMatAddExpr<MT1,MT2> >
1194 :
public BoolConstant< Or< And< IsUniUpper<MT1>, IsStrictlyUpper<MT2> >
1195 , And< IsUniUpper<MT2>, IsStrictlyUpper<MT1> > >::value >
1211 template<
typename MT1,
typename MT2 >
1213 :
public BoolConstant< And< IsStrictlyUpper<MT1>, IsStrictlyUpper<MT2> >::value >
1229 template<
typename MT1,
typename MT2,
bool AF >
1244 template<
typename MT1,
typename MT2 >
1259 template<
typename MT1,
typename MT2 >
ReturnType_< MT2 > RN2
Return type of the right-hand side dense matrix expression.
Definition: DMatTDMatAddExpr.h:116
typename SubmatrixExprTrait< MT, AF >::Type SubmatrixExprTrait_
Auxiliary alias declaration for the SubmatrixExprTrait type trait.The SubmatrixExprTrait_ alias decla...
Definition: SubmatrixExprTrait.h:134
size_t columns() const noexcept
Returns the current number of columns of the matrix.
Definition: DMatTDMatAddExpr.h:260
#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:721
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.
Generic wrapper for a compile time constant integral value.The IntegralConstant class template repres...
Definition: IntegralConstant.h:71
#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.
RightOperand rightOperand() const noexcept
Returns the right-hand side transpose dense matrix operand.
Definition: DMatTDMatAddExpr.h:280
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
ReturnType at(size_t i, size_t j) const
Checked access to the matrix elements.
Definition: DMatTDMatAddExpr.h:234
Header file for the And class template.
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 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:721
Header file for the Computation base class.
Compile time check for upper triangular matrices.This type trait tests whether or not the given templ...
Definition: IsUpper.h:88
bool canSMPAssign() const noexcept
Returns whether the expression can be used in SMP assignments.
Definition: DMatTDMatAddExpr.h:325
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:71
Base class for sparse matrices.The SparseMatrix class is a base class for all sparse matrix classes...
Definition: Forward.h:119
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
Compile time check for the alignment of data types.This type trait tests whether the given data type ...
Definition: IsAligned.h:87
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
Compile time check for upper unitriangular matrices.This type trait tests whether or not the given te...
Definition: IsUniUpper.h:86
LeftOperand leftOperand() const noexcept
Returns the left-hand side dense matrix operand.
Definition: DMatTDMatAddExpr.h:270
Header file for the DisableIf class template.
typename RowExprTrait< MT >::Type RowExprTrait_
Auxiliary alias declaration for the RowExprTrait type trait.The RowExprTrait_ alias declaration provi...
Definition: RowExprTrait.h:134
Header file for the IsTemporary type trait class.
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
bool isAliased(const T *alias) const noexcept
Returns whether the expression is aliased with the given address alias.
Definition: DMatTDMatAddExpr.h:305
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
Evaluation of the expression type type of a submatrix operation.Via this type trait it is possible to...
Definition: SubmatrixExprTrait.h:80
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.
typename ColumnExprTrait< MT >::Type ColumnExprTrait_
Auxiliary alias declaration for the ColumnExprTrait type trait.The ColumnExprTrait_ alias declaration...
Definition: ColumnExprTrait.h:133
#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.
Compile time check for symmetric matrices.This type trait tests whether or not the given template par...
Definition: IsSymmetric.h:85
ReturnType operator()(size_t i, size_t j) const
2D-access to the matrix elements.
Definition: DMatTDMatAddExpr.h:219
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
bool canAlias(const T *alias) const noexcept
Returns whether the expression can alias with the given address alias.
Definition: DMatTDMatAddExpr.h:292
Evaluation of the expression type type of a row operation.Via this type trait it is possible to evalu...
Definition: RowExprTrait.h:79
#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
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
Compile time check for lower unitriangular matrices.This type trait tests whether or not the given te...
Definition: IsUniLower.h:86
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.
Compile time value evaluation.The Max class template selects the larger of the two given template arg...
Definition: Max.h:72
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.
#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
Compile time type negation.The Not class template negates the given compile time condition. In case the given condition would evaluate to true, the nested member enumeration is set to false and vice versa:
Definition: Not.h:70
Compile time check for Hermitian matrices.This type trait tests whether or not the given template par...
Definition: IsHermitian.h:85
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.
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
size_t rows() const noexcept
Returns the current number of rows of the matrix.
Definition: DMatTDMatAddExpr.h:250
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
Compile time check for strictly lower triangular matrices.This type trait tests whether or not the gi...
Definition: IsStrictlyLower.h:86
const IfTrue_< returnExpr, ExprReturnType, ElementType > ReturnType
Return type for expression template evaluations.
Definition: DMatTDMatAddExpr.h:177
const DMatTransExpr< MT,!SO > trans(const DenseMatrix< MT, SO > &dm)
Calculation of the transpose of the given dense matrix.
Definition: DMatTransExpr.h:733
Base class for all compute expression templates.The Computation class serves as a tag for all computa...
Definition: Computation.h:59
bool isAligned() const noexcept
Returns whether the operands of the expression are properly aligned in memory.
Definition: DMatTDMatAddExpr.h:315
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
Compile time evaluation of the number of rows of a matrix.The Rows type trait evaluates the number of...
Definition: Rows.h:76
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
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
Compile time check whether the given type is an expression template.This type trait class tests wheth...
Definition: IsExpression.h:71
Header file for the IsExpression type trait class.
Header file for the function trace functionality.
Expression object for dense matrix-transpose dense matrix additions.The DMatTDMatAddExpr class repres...
Definition: DMatTDMatAddExpr.h:107