35 #ifndef _BLAZE_MATH_EXPRESSIONS_DMATTDMATSUBEXPR_H_
36 #define _BLAZE_MATH_EXPRESSIONS_DMATTDMATSUBEXPR_H_
104 template<
typename MT1
144 template<
typename MT >
147 enum :
bool { value = useAssign };
160 template<
typename MT >
161 struct UseSMPAssign {
162 enum :
bool { value = ( !MT1::smpAssignable || !MT2::smpAssignable ) && useAssign };
190 enum :
bool { simdEnabled =
false };
193 enum :
bool { smpAssignable = MT1::smpAssignable && MT2::smpAssignable };
233 inline ReturnType
at(
size_t i,
size_t j )
const {
234 if( i >=
lhs_.rows() ) {
237 if( j >=
lhs_.columns() ) {
249 inline size_t rows() const noexcept {
260 return lhs_.columns();
290 template<
typename T >
291 inline bool canAlias(
const T* alias )
const noexcept {
303 template<
typename T >
304 inline bool isAliased(
const T* alias )
const noexcept {
305 return (
lhs_.isAliased( alias ) ||
rhs_.isAliased( alias ) );
315 return lhs_.isAligned() &&
rhs_.isAligned();
325 return lhs_.canSMPAssign() ||
rhs_.canSMPAssign() ||
326 (
rows() *
columns() >= SMP_DMATTDMATSUB_THRESHOLD );
350 template<
typename MT
360 const size_t m( rhs.
rows() );
361 const size_t n( rhs.
columns() );
362 const size_t block( BLOCK_SIZE );
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 subAssign( ~lhs, rhs.
rhs_ );
407 assign ( ~lhs, rhs.
lhs_ );
408 subAssign( ~lhs, rhs.
rhs_ );
426 template<
typename MT
428 friend inline void assign( SparseMatrix<MT,SO2>& lhs,
const DMatTDMatSubExpr& rhs )
432 typedef IfTrue_< SO2, OppositeType, ResultType > TmpType;
444 const TmpType tmp(
serial( rhs ) );
465 template<
typename MT
467 friend inline DisableIf_< UseAssign<MT> >
475 const size_t m( rhs.rows() );
476 const size_t n( rhs.columns() );
477 const size_t block( BLOCK_SIZE );
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.lhs_(i,j) - rhs.rhs_(i,j);
509 template<
typename MT
511 friend inline EnableIf_< UseAssign<MT> >
519 addAssign( ~lhs, rhs.lhs_ );
520 subAssign( ~lhs, rhs.rhs_ );
544 template<
typename MT
546 friend inline DisableIf_< UseAssign<MT> >
554 const size_t m( rhs.rows() );
555 const size_t n( rhs.columns() );
556 const size_t block( BLOCK_SIZE );
558 for(
size_t ii=0UL; ii<m; ii+=block ) {
559 const size_t iend( ( m < ii+block )?( m ):( ii+block ) );
560 for(
size_t jj=0UL; jj<n; jj+=block ) {
561 const size_t jend( ( n < jj+block )?( n ):( jj+block ) );
562 for(
size_t i=ii; i<iend; ++i ) {
563 for(
size_t j=jj; j<jend; ++j ) {
564 (~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 addAssign( ~lhs, rhs.rhs_ );
630 template<
typename MT
632 friend inline EnableIf_< UseSMPAssign<MT> >
640 if( !IsExpression<MT1>::value &&
isSame( ~lhs, rhs.lhs_ ) ) {
665 template<
typename MT
667 friend inline EnableIf_< UseSMPAssign<MT> >
672 typedef IfTrue_< SO2, OppositeType, ResultType > TmpType;
684 const TmpType tmp( rhs );
705 template<
typename MT
707 friend inline EnableIf_< UseSMPAssign<MT> >
740 template<
typename MT
742 friend inline EnableIf_< UseSMPAssign<MT> >
817 template<
typename T1
819 inline EnableIf_< And< Not< IsSymmetric<T1> >, Not< IsSymmetric<T2> > >
820 ,
const DMatTDMatSubExpr<T1,T2> >
863 template<
typename T1
865 inline EnableIf_< And< Not< IsSymmetric<T1> >, Not< IsSymmetric<T2> > >
866 ,
const DMatTDMatSubExpr<T1,T2> >
902 template<
typename T1
904 inline EnableIf_< And< IsSymmetric<T1>, Not< IsSymmetric<T2> > >,
const SubExprTrait_<T1,T2> >
905 operator-(
const DenseMatrix<T1,false>& lhs,
const DenseMatrix<T2,true>& rhs )
913 return trans( ~lhs ) - ~rhs;
933 template<
typename T1
935 inline EnableIf_< IsSymmetric<T2>,
const SubExprTrait_<T1,T2> >
936 operator-(
const DenseMatrix<T1,false>& lhs,
const DenseMatrix<T2,true>& rhs )
944 return (~lhs) -
trans( ~rhs );
964 template<
typename T1
966 inline EnableIf_< And< Not< IsSymmetric<T1> >, IsSymmetric<T2> >,
const SubExprTrait_<T1,T2> >
967 operator-(
const DenseMatrix<T1,true>& lhs,
const DenseMatrix<T2,false>& rhs )
975 return (~lhs) -
trans( ~rhs );
995 template<
typename T1
997 inline EnableIf_< IsSymmetric<T1>,
const SubExprTrait_<T1,T2> >
998 operator-(
const DenseMatrix<T1,true>& lhs,
const DenseMatrix<T2,false>& rhs )
1006 return trans( ~lhs ) - (~rhs);
1022 template<
typename MT1,
typename MT2 >
1024 :
public Max< Rows<MT1>, Rows<MT2> >
1040 template<
typename MT1,
typename MT2 >
1042 :
public Max< Columns<MT1>, Columns<MT2> >
1058 template<
typename MT1,
typename MT2 >
1060 :
public BoolConstant< And< IsAligned<MT1>, IsAligned<MT2> >::value >
1076 template<
typename MT1,
typename MT2 >
1078 :
public BoolConstant< IsSymmetric<MT1>::value && IsSymmetric<MT2>::value >
1094 template<
typename MT1,
typename MT2 >
1096 :
public BoolConstant< IsHermitian<MT1>::value && IsHermitian<MT2>::value >
1112 template<
typename MT1,
typename MT2 >
1114 :
public BoolConstant< And< IsLower<MT1>, IsLower<MT2> >::value >
1130 template<
typename MT1,
typename MT2 >
1132 :
public BoolConstant< And< IsUniLower<MT1>, IsStrictlyLower<MT2> >::value >
1148 template<
typename MT1,
typename MT2 >
1150 :
public BoolConstant< And< IsStrictlyLower<MT1>, IsStrictlyLower<MT2> >::value >
1166 template<
typename MT1,
typename MT2 >
1168 :
public BoolConstant< And< IsUpper<MT1>, IsUpper<MT2> >::value >
1184 template<
typename MT1,
typename MT2 >
1186 :
public BoolConstant< And< IsUniUpper<MT1>, IsStrictlyUpper<MT2> >::value >
1202 template<
typename MT1,
typename MT2 >
1204 :
public BoolConstant< And< IsStrictlyUpper<MT1>, IsStrictlyUpper<MT2> >::value >
1220 template<
typename MT1,
typename MT2,
bool AF >
1225 using Type = SubExprTrait_< SubmatrixExprTrait_<const MT1,AF>
1226 , SubmatrixExprTrait_<const MT2,AF> >;
1235 template<
typename MT1,
typename MT2 >
1240 using Type = SubExprTrait_< RowExprTrait_<const MT1>
1241 , RowExprTrait_<const MT2> >;
1250 template<
typename MT1,
typename MT2 >
1255 using Type = SubExprTrait_< ColumnExprTrait_<const MT1>
1256 , ColumnExprTrait_<const MT2> >;
Constraint on the data type.
#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 the Max class template.
Header file for kernel specific block sizes.
bool isAligned() const noexcept
Returns whether the operands of the expression are properly aligned in memory.
Definition: DMatTDMatSubExpr.h:314
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.
Header file for the IsUniUpper type trait.
Header file for the subtraction trait.
bool canSMPAssign() const noexcept
Returns whether the expression can be used in SMP assignments.
Definition: DMatTDMatSubExpr.h:324
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.
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.
RightOperand rightOperand() const noexcept
Returns the right-hand side transpose dense matrix operand.
Definition: DMatTDMatSubExpr.h:279
const IfTrue_< returnExpr, ExprReturnType, ElementType > ReturnType
Return type for expression template evaluations.
Definition: DMatTDMatSubExpr.h:176
bool isAliased(const T *alias) const noexcept
Returns whether the expression is aliased with the given address alias.
Definition: DMatTDMatSubExpr.h:304
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.
LeftOperand lhs_
Left-hand side dense matrix of the subtraction expression.
Definition: DMatTDMatSubExpr.h:332
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
Header file for the Computation base class.
const DenseIterator< Type, AF > operator-(const DenseIterator< Type, AF > &it, ptrdiff_t inc) noexcept
Subtraction between a DenseIterator and an integral value.
Definition: DenseIterator.h:731
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
CompositeType_< MT1 > CT1
Composite type of the left-hand side dense matrix expression.
Definition: DMatTDMatSubExpr.h:116
typename SubExprTrait< T1, T2 >::Type SubExprTrait_
Auxiliary alias declaration for the SubExprTrait class template.The SubExprTrait_ alias declaration p...
Definition: SubExprTrait.h:220
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
Expression object for dense matrix-transpose dense matrix subtractions.The DMatTDMatSubExpr class rep...
Definition: DMatTDMatSubExpr.h:106
const ResultType CompositeType
Data type for composite expression templates.
Definition: DMatTDMatSubExpr.h:179
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.
Base class for all matrix/matrix subtraction expression templates.The MatMatSubExpr class serves as a...
Definition: MatMatSubExpr.h:65
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
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
OppositeType_< ResultType > OppositeType
Result type with opposite storage order for expression template evaluations.
Definition: DMatTDMatSubExpr.h:171
#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
Header file for the MatMatSubExpr base class.
Header file for the IsLower type trait.
size_t columns() const noexcept
Returns the current number of columns of the matrix.
Definition: DMatTDMatSubExpr.h:259
Header file for the IsAligned type trait.
RightOperand rhs_
Right-hand side dense matrix of the subtraction expression.
Definition: DMatTDMatSubExpr.h:333
#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
SubExprTrait_< RN1, RN2 > ExprReturnType
Expression return type for the subscript operator.
Definition: DMatTDMatSubExpr.h:130
Constraints on the storage order of matrix types.
Header file for the exception macros of the math module.
ReturnType at(size_t i, size_t j) const
Checked access to the matrix elements.
Definition: DMatTDMatSubExpr.h:233
If_< IsExpression< MT2 >, const MT2, const MT2 & > RightOperand
Composite type of the right-hand side dense matrix expression.
Definition: DMatTDMatSubExpr.h:185
Header file for the RowExprTrait class template.
Header file for all forward declarations for expression class templates.
ReturnType_< MT1 > RN1
Return type of the left-hand side dense matrix expression.
Definition: DMatTDMatSubExpr.h:114
Header file for the EnableIf class template.
Header file for the IsStrictlyLower type trait.
#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
ReturnType_< MT2 > RN2
Return type of the right-hand side dense matrix expression.
Definition: DMatTDMatSubExpr.h:115
ElementType_< ResultType > ElementType
Resulting element type.
Definition: DMatTDMatSubExpr.h:173
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
Header file for run time assertion macros.
ResultType_< MT1 > RT1
Result type of the left-hand side dense matrix expression.
Definition: DMatTDMatSubExpr.h:112
size_t rows() const noexcept
Returns the current number of rows of the matrix.
Definition: DMatTDMatSubExpr.h:249
DMatTDMatSubExpr(const MT1 &lhs, const MT2 &rhs) noexcept
Constructor for the DMatTDMatSubExpr class.
Definition: DMatTDMatSubExpr.h:202
DMatTDMatSubExpr< MT1, MT2 > This
Type of this DMatTDMatSubExpr instance.
Definition: DMatTDMatSubExpr.h:169
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
ReturnType operator()(size_t i, size_t j) const
2D-access to the matrix elements.
Definition: DMatTDMatSubExpr.h:218
Constraints on the storage order of matrix types.
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
ResultType_< MT2 > RT2
Result type of the right-hand side dense matrix expression.
Definition: DMatTDMatSubExpr.h:113
If_< IsExpression< MT1 >, const MT1, const MT1 & > LeftOperand
Composite type of the left-hand side dense matrix expression.
Definition: DMatTDMatSubExpr.h:182
SubTrait_< RT1, RT2 > ResultType
Result type for expression template evaluations.
Definition: DMatTDMatSubExpr.h:170
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
typename SubTrait< T1, T2 >::Type SubTrait_
Auxiliary alias declaration for the SubTrait class template.The SubTrait_ alias declaration provides ...
Definition: SubTrait.h:245
#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
Header file for the IntegralConstant class template.
bool canAlias(const T *alias) const noexcept
Returns whether the expression can alias with the given address alias.
Definition: DMatTDMatSubExpr.h:291
#define BLAZE_CONSTRAINT_MUST_FORM_VALID_MATMATSUBEXPR(T1, T2)
Constraint on the data type.In case the given data types T1 and T2 do not form a valid matrix/matrix ...
Definition: MatMatSubExpr.h:109
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.
TransposeType_< ResultType > TransposeType
Transpose type for expression template evaluations.
Definition: DMatTDMatSubExpr.h:172
CompositeType_< MT2 > CT2
Composite type of the right-hand side dense matrix expression.
Definition: DMatTDMatSubExpr.h:117
Header file for the IsHermitian type trait.
Header file for the SubExprTrait class template.
Header file for the thresholds for matrix/vector and matrix/matrix multiplications.
#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 FunctionTrace class.
LeftOperand leftOperand() const noexcept
Returns the left-hand side dense matrix operand.
Definition: DMatTDMatSubExpr.h:269