35 #ifndef _BLAZE_MATH_EXPRESSIONS_DMATTDMATADDEXPR_H_ 36 #define _BLAZE_MATH_EXPRESSIONS_DMATTDMATADDEXPR_H_ 103 template<
typename MT1
106 :
public MatMatAddExpr< DenseMatrix< DMatTDMatAddExpr<MT1,MT2>, false > >
143 template<
typename MT >
146 enum :
bool { value = useAssign };
159 template<
typename MT >
160 struct UseSMPAssign {
161 enum :
bool { value = ( !MT1::smpAssignable || !MT2::smpAssignable ) && useAssign };
189 enum :
bool { simdEnabled =
false };
192 enum :
bool { smpAssignable = MT1::smpAssignable && MT2::smpAssignable };
233 if( i >=
lhs_.rows() ) {
236 if( j >=
lhs_.columns() ) {
248 inline size_t rows() const noexcept {
259 return lhs_.columns();
289 template<
typename T >
290 inline bool canAlias(
const T* alias )
const noexcept {
302 template<
typename T >
303 inline bool isAliased(
const T* alias )
const noexcept {
304 return (
lhs_.isAliased( alias ) ||
rhs_.isAliased( alias ) );
314 return lhs_.isAligned() &&
rhs_.isAligned();
324 return lhs_.canSMPAssign() ||
rhs_.canSMPAssign() ||
325 (
rows() *
columns() >= SMP_DMATTDMATADD_THRESHOLD );
349 template<
typename MT
359 constexpr
size_t block( BLOCK_SIZE );
361 const size_t m( rhs.
rows() );
362 const size_t n( rhs.
columns() );
364 for(
size_t ii=0UL; ii<m; ii+=block ) {
365 const size_t iend( ( m < ii+block )?( m ):( ii+block ) );
366 for(
size_t jj=0UL; jj<n; jj+=block ) {
367 const size_t jend( ( n < jj+block )?( n ):( jj+block ) );
368 for(
size_t i=ii; i<iend; ++i ) {
369 for(
size_t j=jj; j<jend; ++j ) {
370 (~lhs)(i,j) = rhs.
lhs_(i,j) + rhs.
rhs_(i,j);
393 template<
typename MT
404 addAssign( ~lhs, rhs.
rhs_ );
407 addAssign( ~lhs, rhs.
lhs_ );
410 assign ( ~lhs, rhs.
lhs_ );
411 addAssign( ~lhs, rhs.
rhs_ );
429 template<
typename MT
447 const TmpType tmp(
serial( rhs ) );
467 template<
typename 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.
lhs_(i,j) + rhs.
rhs_(i,j);
511 template<
typename MT
521 addAssign( ~lhs, rhs.
lhs_ );
522 addAssign( ~lhs, rhs.
rhs_ );
545 template<
typename MT
555 constexpr
size_t block( BLOCK_SIZE );
557 const size_t m( rhs.
rows() );
558 const size_t n( rhs.
columns() );
560 for(
size_t ii=0UL; ii<m; ii+=block ) {
561 const size_t iend( ( m < ii+block )?( m ):( ii+block ) );
562 for(
size_t jj=0UL; jj<n; jj+=block ) {
563 const size_t jend( ( n < jj+block )?( n ):( jj+block ) );
564 for(
size_t i=ii; i<iend; ++i ) {
565 for(
size_t j=jj; j<jend; ++j ) {
566 (~lhs)(i,j) -= rhs.
lhs_(i,j) + rhs.
rhs_(i,j);
589 template<
typename MT
599 subAssign( ~lhs, rhs.
lhs_ );
600 subAssign( ~lhs, rhs.
rhs_ );
624 template<
typename MT
639 schurAssign( ~lhs, tmp );
670 template<
typename MT
708 template<
typename MT
727 const TmpType tmp( rhs );
748 template<
typename MT
783 template<
typename MT
818 template<
typename MT
884 template<
typename MT1
914 template<
typename MT1
916 inline decltype(
auto)
925 return trans( ~lhs ) + ~rhs;
944 template<
typename MT1
946 inline decltype(
auto)
955 return (~lhs) +
trans( ~rhs );
990 template<
typename MT1
992 inline decltype(
auto)
1001 return dmattdmatadd( ~lhs, ~rhs );
1019 template<
typename MT1
1049 template<
typename MT1
1051 inline decltype(
auto)
1060 return trans( ~rhs ) + (~lhs);
1079 template<
typename MT1
1081 inline decltype(
auto)
1090 return (~rhs) +
trans( ~lhs );
1125 template<
typename MT1
1127 inline decltype(
auto)
1136 return tdmatdmatadd( ~lhs, ~rhs );
1151 template<
typename MT1,
typename MT2 >
1152 struct Rows< DMatTDMatAddExpr<MT1,MT2> >
1153 :
public Maximum< Rows<MT1>, Rows<MT2> >
1169 template<
typename MT1,
typename MT2 >
1170 struct Columns< DMatTDMatAddExpr<MT1,MT2> >
1171 :
public Maximum< Columns<MT1>, Columns<MT2> >
1187 template<
typename MT1,
typename MT2 >
1188 struct IsAligned< DMatTDMatAddExpr<MT1,MT2> >
1189 :
public BoolConstant< And< IsAligned<MT1>, IsAligned<MT2> >::value >
1205 template<
typename MT1,
typename MT2 >
1207 :
public BoolConstant< IsSymmetric<MT1>::value && IsSymmetric<MT2>::value >
1223 template<
typename MT1,
typename MT2 >
1225 :
public BoolConstant< IsHermitian<MT1>::value && IsHermitian<MT2>::value >
1241 template<
typename MT1,
typename MT2 >
1242 struct IsLower< DMatTDMatAddExpr<MT1,MT2> >
1243 :
public BoolConstant< And< IsLower<MT1>, IsLower<MT2> >::value >
1259 template<
typename MT1,
typename MT2 >
1260 struct IsUniLower< DMatTDMatAddExpr<MT1,MT2> >
1261 :
public BoolConstant< Or< And< IsUniLower<MT1>, IsStrictlyLower<MT2> >
1262 , And< IsUniLower<MT2>, IsStrictlyLower<MT1> > >::value >
1278 template<
typename MT1,
typename MT2 >
1280 :
public BoolConstant< And< IsStrictlyLower<MT1>, IsStrictlyLower<MT2> >::value >
1296 template<
typename MT1,
typename MT2 >
1297 struct IsUpper< DMatTDMatAddExpr<MT1,MT2> >
1298 :
public BoolConstant< And< IsUpper<MT1>, IsUpper<MT2> >::value >
1314 template<
typename MT1,
typename MT2 >
1315 struct IsUniUpper< DMatTDMatAddExpr<MT1,MT2> >
1316 :
public BoolConstant< Or< And< IsUniUpper<MT1>, IsStrictlyUpper<MT2> >
1317 , And< IsUniUpper<MT2>, IsStrictlyUpper<MT1> > >::value >
1333 template<
typename MT1,
typename MT2 >
1335 :
public BoolConstant< And< IsStrictlyUpper<MT1>, IsStrictlyUpper<MT2> >::value >
size_t columns() const noexcept
Returns the current number of columns of the matrix.
Definition: DMatTDMatAddExpr.h:258
If_< IsExpression< MT1 >, const MT1, const MT1 &> LeftOperand
Composite type of the left-hand side dense matrix expression.
Definition: DMatTDMatAddExpr.h:181
#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
Header file for auxiliary alias declarations.
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:201
Header file for the IsUniUpper type trait.
EnableIf_< IsDenseMatrix< MT1 > > smpSchurAssign(Matrix< MT1, SO1 > &lhs, const Matrix< MT2, SO2 > &rhs)
Default implementation of the SMP Schur product assignment of a matrix to dense matrix.
Definition: DenseMatrix.h:196
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:786
Header file for basic type definitions.
Compile time check whether the given type is an operational expression template.This type trait class...
Definition: IsOperation.h:71
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:164
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
RightOperand rightOperand() const noexcept
Returns the right-hand side transpose dense matrix operand.
Definition: DMatTDMatAddExpr.h:278
typename DisableIf< Condition, T >::Type DisableIf_
Auxiliary type for the DisableIf class template.The DisableIf_ alias declaration provides a convenien...
Definition: DisableIf.h:224
ReturnType at(size_t i, size_t j) const
Checked access to the matrix elements.
Definition: DMatTDMatAddExpr.h:232
Header file for the And class template.
Compile time value evaluation.The Maximum alias declaration selects the larger of the two given templ...
Definition: Maximum.h:73
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 IfTrue_< returnExpr, ExprReturnType, ElementType > ReturnType
Return type for expression template evaluations.
Definition: DMatTDMatAddExpr.h:175
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:323
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:343
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:133
CompositeType_< MT2 > CT2
Composite type of the right-hand side dense matrix expression.
Definition: DMatTDMatAddExpr.h:116
ElementType_< ResultType > ElementType
Resulting element type.
Definition: DMatTDMatAddExpr.h:172
Base class for dense matrices.The DenseMatrix class is a base class for all dense matrix classes...
Definition: DenseMatrix.h:78
Base class for sparse matrices.The SparseMatrix class is a base class for all sparse matrix classes...
Definition: Forward.h:129
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:363
CompositeType_< MT1 > CT1
Composite type of the left-hand side dense matrix expression.
Definition: DMatTDMatAddExpr.h:115
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.
Header file for the Maximum class template.
Compile time check to query the requirement to evaluate an expression.Via this type trait it is possi...
Definition: RequiresEvaluation.h:72
ReturnType_< MT2 > RN2
Return type of the right-hand side dense matrix expression.
Definition: DMatTDMatAddExpr.h:114
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:268
Header file for the DisableIf class template.
Header file for the IsTemporary type trait class.
Header file for the IsStrictlyUpper type trait.
Header file for the IsSymmetric type trait.
typename AddExprTrait< T1, T2 >::Type AddExprTrait_
Auxiliary alias declaration for the AddExprTrait class template.The AddExprTrait_ alias declaration p...
Definition: AddExprTrait.h:112
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:303
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:102
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.
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
AddTrait_< RT1, RT2 > ResultType
Result type for expression template evaluations.
Definition: DMatTDMatAddExpr.h:169
Base class for all matrix/matrix addition expression templates.The MatMatAddExpr class serves as a ta...
Definition: MatMatAddExpr.h:66
Header file for the IsOperation type trait class.
Header file for the IsLower type trait.
Header file for the IsAligned type trait.
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:217
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:290
#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:108
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 IsStrictlyLower type trait.
OppositeType_< ResultType > OppositeType
Result type with opposite storage order for expression template evaluations.
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
const ResultType CompositeType
Data type for composite expression templates.
Definition: DMatTDMatAddExpr.h:178
ResultType_< MT1 > RT1
Result type of the left-hand side dense matrix expression.
Definition: DMatTDMatAddExpr.h:111
#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:331
If_< IsExpression< MT2 >, const MT2, const MT2 &> RightOperand
Composite type of the right-hand side dense matrix expression.
Definition: DMatTDMatAddExpr.h:184
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:332
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:154
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:94
Compile time type negation.The Not alias declaration negates the given compile time condition...
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
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:819
#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
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:224
typename T::OppositeType OppositeType_
Alias declaration for nested OppositeType type definitions.The OppositeType_ alias declaration provid...
Definition: Aliases.h:263
#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:248
Compile time check for strictly lower triangular matrices.This type trait tests whether or not the gi...
Definition: IsStrictlyLower.h:86
decltype(auto) trans(const DenseMatrix< MT, SO > &dm)
Calculation of the transpose of the given dense matrix.
Definition: DMatTransExpr.h:790
ResultType_< MT2 > RT2
Result type of the right-hand side dense matrix expression.
Definition: DMatTDMatAddExpr.h:112
Base class for all compute expression templates.The Computation class serves as a tag for all computa...
Definition: Computation.h:66
bool isAligned() const noexcept
Returns whether the operands of the expression are properly aligned in memory.
Definition: DMatTDMatAddExpr.h:313
TransposeType_< ResultType > TransposeType
Transpose type for expression template evaluations.
Definition: DMatTDMatAddExpr.h:171
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:75
Compile time evaluation of the number of rows of a matrix.The Rows type trait evaluates the number of...
Definition: Rows.h:75
Compile time logical and evaluation.The And alias declaration performs at compile time a logical and ...
Definition: And.h:76
typename T::TransposeType TransposeType_
Alias declaration for nested TransposeType type definitions.The TransposeType_ alias declaration prov...
Definition: Aliases.h:423
Header file for the IsUpper type trait.
ReturnType_< MT1 > RN1
Return type of the left-hand side dense matrix expression.
Definition: DMatTDMatAddExpr.h:113
AddExprTrait_< RN1, RN2 > ExprReturnType
Expression return type for the subscript operator.
Definition: DMatTDMatAddExpr.h:129
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:250
#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:95
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:105