35 #ifndef _BLAZE_MATH_EXPRESSIONS_SMATDMATSUBEXPR_H_ 36 #define _BLAZE_MATH_EXPRESSIONS_SMATDMATSUBEXPR_H_ 92 template<
typename MT1
96 :
public MatMatSubExpr< DenseMatrix< SMatDMatSubExpr<MT1,MT2,SO>, SO > >
127 template<
typename MT >
128 struct UseSMPAssign {
129 enum :
bool { value = ( !MT1::smpAssignable || !MT2::smpAssignable ) };
157 enum :
bool { simdEnabled =
false };
160 enum :
bool { smpAssignable =
false };
201 if( i >=
lhs_.rows() ) {
204 if( j >=
lhs_.columns() ) {
216 inline size_t rows() const noexcept {
227 return lhs_.columns();
257 template<
typename T >
258 inline bool canAlias(
const T* alias )
const noexcept {
259 return (
lhs_.canAlias( alias ) ) ||
270 template<
typename T >
271 inline bool isAliased(
const T* alias )
const noexcept {
272 return lhs_.isAliased( alias ) ||
rhs_.isAliased( alias );
294 template<
typename MT
303 assign ( ~lhs, -rhs.rhs_ );
304 addAssign( ~lhs, rhs.lhs_ );
321 template<
typename MT
339 const TmpType tmp(
serial( rhs ) );
357 template<
typename MT
366 subAssign( ~lhs, rhs.rhs_ );
367 addAssign( ~lhs, rhs.lhs_ );
388 template<
typename MT
397 addAssign( ~lhs, rhs.rhs_ );
398 subAssign( ~lhs, rhs.lhs_ );
420 template<
typename MT
434 schurAssign( ~lhs, tmp );
465 template<
typename MT
495 template<
typename MT
514 const TmpType tmp( rhs );
534 template<
typename MT
568 template<
typename MT
603 template<
typename MT
684 template<
typename MT1
687 inline decltype(
auto)
723 template<
typename MT1
728 inline decltype(
auto)
733 return ( (~rhs) - lhs.rightOperand() ) + lhs.leftOperand();
752 template<
typename MT1
757 inline decltype(
auto)
762 return lhs.leftOperand() - ( lhs.rightOperand() + (~rhs) );
778 template<
typename MT1,
typename MT2,
bool SO >
779 struct Size< SMatDMatSubExpr<MT1,MT2,SO>, 0UL >
780 :
public Maximum< Size<MT1,0UL>, Size<MT2,0UL> >
783 template<
typename MT1,
typename MT2,
bool SO >
784 struct Size< SMatDMatSubExpr<MT1,MT2,SO>, 1UL >
785 :
public Maximum< Size<MT1,1UL>, Size<MT2,1UL> >
801 template<
typename MT1,
typename MT2,
bool SO >
803 :
public And< IsSymmetric<MT1>, IsSymmetric<MT2> >
819 template<
typename MT1,
typename MT2,
bool SO >
821 :
public And< IsHermitian<MT1>, IsHermitian<MT2> >
837 template<
typename MT1,
typename MT2,
bool SO >
838 struct IsLower< SMatDMatSubExpr<MT1,MT2,SO> >
839 :
public And< IsLower<MT1>, IsLower<MT2> >
855 template<
typename MT1,
typename MT2,
bool SO >
856 struct IsUniLower< SMatDMatSubExpr<MT1,MT2,SO> >
857 :
public And< IsUniLower<MT1>, IsStrictlyLower<MT2> >
873 template<
typename MT1,
typename MT2,
bool SO >
875 :
public And< IsStrictlyLower<MT1>, IsStrictlyLower<MT2> >
891 template<
typename MT1,
typename MT2,
bool SO >
892 struct IsUpper< SMatDMatSubExpr<MT1,MT2,SO> >
893 :
public And< IsUpper<MT1>, IsUpper<MT2> >
909 template<
typename MT1,
typename MT2,
bool SO >
910 struct IsUniUpper< SMatDMatSubExpr<MT1,MT2,SO> >
911 :
public And< IsUniUpper<MT1>, IsStrictlyUpper<MT2> >
927 template<
typename MT1,
typename MT2,
bool SO >
929 :
public And< IsStrictlyUpper<MT1>, IsStrictlyUpper<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.
SMatDMatSubExpr(const MT1 &lhs, const MT2 &rhs) noexcept
Constructor for the SMatDMatSubExpr class.
Definition: SMatDMatSubExpr.h:169
ResultType_< MT2 > RT2
Result type of the right-hand side dense matrix expression.
Definition: SMatDMatSubExpr.h:102
Compile time check whether the given type is a temporary vector or matrix type.This type trait class ...
Definition: IsTemporary.h:69
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
Header file for the subtraction trait.
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:164
Header file for the serial shim.
#define BLAZE_CONSTRAINT_MUST_BE_MATRIX_WITH_STORAGE_ORDER(T, SO)
Constraint on the data type.In case the given data type T is not a dense or sparse matrix type and in...
Definition: StorageOrder.h:63
If_< IsExpression< MT2 >, const MT2, const MT2 &> RightOperand
Composite type of the right-hand side sparse matrix expression.
Definition: SMatDMatSubExpr.h:152
#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
ResultType_< MT1 > RT1
Result type of the left-hand side sparse matrix expression.
Definition: SMatDMatSubExpr.h:101
ReturnType at(size_t i, size_t j) const
Checked access to the matrix elements.
Definition: SMatDMatSubExpr.h:200
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:701
bool canAlias(const T *alias) const noexcept
Returns whether the expression can alias with the given address alias.
Definition: SMatDMatSubExpr.h:258
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:87
LeftOperand lhs_
Left-hand side sparse matrix of the subtraction expression.
Definition: SMatDMatSubExpr.h:278
size_t columns() const noexcept
Returns the current number of columns of the matrix.
Definition: SMatDMatSubExpr.h:226
RightOperand rhs_
Right-hand side dense matrix of the subtraction expression.
Definition: SMatDMatSubExpr.h:279
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:87
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:733
const ResultType CompositeType
Data type for composite expression templates.
Definition: SMatDMatSubExpr.h:146
bool isAliased(const T *alias) const noexcept
Returns whether the expression is aliased with the given address alias.
Definition: SMatDMatSubExpr.h:271
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
OppositeType_< ResultType > OppositeType
Result type with opposite storage order for expression template evaluations.
Definition: SMatDMatSubExpr.h:138
Base class for dense matrices.The DenseMatrix class is a base class for all dense matrix classes...
Definition: DenseMatrix.h:80
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
ReturnType_< MT1 > RN1
Return type of the left-hand side sparse matrix expression.
Definition: SMatDMatSubExpr.h:103
typename SubExprTrait< T1, T2 >::Type SubExprTrait_
Auxiliary alias declaration for the SubExprTrait class template.The SubExprTrait_ alias declaration p...
Definition: SubExprTrait.h:112
Constraint on the data type.
Constraint on the data type.
Header file for the Maximum class template.
ReturnType operator()(size_t i, size_t j) const
2D-access to the matrix elements.
Definition: SMatDMatSubExpr.h:185
ElementType_< ResultType > ElementType
Resulting element type.
Definition: SMatDMatSubExpr.h:140
Expression object for sparse matrix-dense matrix subtractions.The SMatDMatSubExpr class represents th...
Definition: Forward.h:109
Compile time check for upper unitriangular matrices.This type trait tests whether or not the given te...
Definition: IsUniUpper.h:86
Header file for the IsTemporary type trait class.
Header file for the IsStrictlyUpper type trait.
Header file for the IsSymmetric type trait.
Namespace of the Blaze C++ math library.
Definition: Blaze.h:58
Header file for the If class template.
const IfTrue_< returnExpr, ExprReturnType, ElementType > ReturnType
Return type for expression template evaluations.
Definition: SMatDMatSubExpr.h:143
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
#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.
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.
LeftOperand leftOperand() const noexcept
Returns the left-hand side sparse matrix operand.
Definition: SMatDMatSubExpr.h:236
Header file for the IsLower 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
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
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.
Compile time check for lower unitriangular matrices.This type trait tests whether or not the given te...
Definition: IsUniLower.h:86
Header file for run time assertion macros.
TransposeType_< ResultType > TransposeType
Transpose type for expression template evaluations.
Definition: SMatDMatSubExpr.h:139
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
#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 check for Hermitian matrices.This type trait tests whether or not the given template par...
Definition: IsHermitian.h:85
decltype(auto) serial(const DenseMatrix< MT, SO > &dm)
Forces the serial evaluation of the given dense matrix expression dm.
Definition: DMatSerialExpr.h:816
#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
size_t rows() const noexcept
Returns the current number of rows of the matrix.
Definition: SMatDMatSubExpr.h:216
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
ReturnType_< MT2 > RN2
Return type of the right-hand side dense matrix expression.
Definition: SMatDMatSubExpr.h:104
Compile time check for strictly lower triangular matrices.This type trait tests whether or not the gi...
Definition: IsStrictlyLower.h:86
RightOperand rightOperand() const noexcept
Returns the right-hand side dense matrix operand.
Definition: SMatDMatSubExpr.h:246
const Type & ReturnType
Return type for expression template evaluations.
Definition: CompressedMatrix.h:3080
If_< IsExpression< MT1 >, const MT1, const MT1 &> LeftOperand
Composite type of the left-hand side dense matrix expression.
Definition: SMatDMatSubExpr.h:149
typename SubTrait< T1, T2 >::Type SubTrait_
Auxiliary alias declaration for the SubTrait class template.The SubTrait_ alias declaration provides ...
Definition: SubTrait.h:291
Compile time evaluation of the size of vectors and matrices.The Size type trait evaluates the size of...
Definition: Size.h:80
Compile time logical 'and' evaluation.The And alias declaration performs at compile time a logical 'a...
Definition: And.h:76
SubTrait_< RT1, RT2 > ResultType
Result type for expression template evaluations.
Definition: SMatDMatSubExpr.h:137
#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:107
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.
Header file for the IsHermitian type trait.
Header file for the SubExprTrait class template.
SubExprTrait_< RN1, RN2 > ExprReturnType
Expression return type for the subscript operator.
Definition: SMatDMatSubExpr.h:117
Header file for the Size type trait.
#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
#define BLAZE_CONSTRAINT_MUST_BE_SPARSE_MATRIX_TYPE(T)
Constraint on the data type.In case the given data type T is not a sparse, N-dimensional matrix type...
Definition: SparseMatrix.h:61
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.