35 #ifndef _BLAZE_MATH_EXPRESSIONS_TSMATSMATSCHUREXPR_H_ 36 #define _BLAZE_MATH_EXPRESSIONS_TSMATSMATSCHUREXPR_H_ 102 template<
typename MT1
104 class TSMatSMatSchurExpr
105 :
public SchurExpr< SparseMatrix< TSMatSMatSchurExpr<MT1,MT2>, false > >
106 ,
private Computation
139 template<
typename T1,
typename T2 >
140 struct UseSymmetricKernel {
170 enum :
bool { smpAssignable =
false };
211 if( i >=
lhs_.rows() ) {
214 if( j >=
lhs_.columns() ) {
226 inline size_t rows() const noexcept {
237 return lhs_.columns();
288 template<
typename T >
289 inline bool canAlias(
const T* alias )
const noexcept {
290 return (
lhs_.canAlias( alias ) ||
rhs_.canAlias( alias ) );
300 template<
typename T >
301 inline bool isAliased(
const T* alias )
const noexcept {
302 return (
lhs_.isAliased( alias ) ||
rhs_.isAliased( alias ) );
325 template<
typename MT >
347 assign( ~lhs, A % B );
365 template<
typename MT >
389 assign( ~lhs, A % B );
407 template<
typename MT >
429 assign( ~lhs, A % B );
447 template<
typename MT >
471 assign( ~lhs, A % B );
489 template<
typename MT >
498 assign( ~lhs,
trans( rhs.lhs_ ) % rhs.rhs_ );
516 template<
typename MT >
527 assign( ~lhs, rhs.lhs_ %
trans( rhs.rhs_ ) );
545 template<
typename MT >
567 addAssign( ~lhs, A % B );
585 template<
typename MT >
609 addAssign( ~lhs, A % B );
627 template<
typename MT >
636 addAssign( ~lhs,
trans( rhs.lhs_ ) % rhs.rhs_ );
654 template<
typename MT >
665 addAssign( ~lhs, rhs.lhs_ %
trans( rhs.rhs_ ) );
687 template<
typename MT >
709 subAssign( ~lhs, A % B );
727 template<
typename MT >
751 subAssign( ~lhs, A % B );
769 template<
typename MT >
778 subAssign( ~lhs,
trans( rhs.lhs_ ) % rhs.rhs_ );
796 template<
typename MT >
807 subAssign( ~lhs, rhs.lhs_ %
trans( rhs.rhs_ ) );
829 template<
typename MT >
851 schurAssign( ~lhs, A % B );
869 template<
typename MT >
893 schurAssign( ~lhs, A % B );
911 template<
typename MT >
920 schurAssign( ~lhs,
trans( rhs.lhs_ ) % rhs.rhs_ );
938 template<
typename MT >
949 schurAssign( ~lhs, rhs.lhs_ %
trans( rhs.rhs_ ) );
999 template<
typename MT
1060 template<
typename MT1
1091 template<
typename MT1
1105 return IdentityMatrix< MultTrait_< ElementType_<MT1>, ElementType_<MT2> >,
true >( (~lhs).
rows() );
1140 template<
typename MT1
1142 inline decltype(
auto)
1151 return tsmatsmatschur( ~lhs, ~rhs );
1166 template<
typename MT1,
typename MT2 >
1167 struct Rows< TSMatSMatSchurExpr<MT1,MT2> >
1168 :
public Maximum< Rows<MT1>, Rows<MT2> >
1184 template<
typename MT1,
typename MT2 >
1185 struct Columns< TSMatSMatSchurExpr<MT1,MT2> >
1186 :
public Maximum< Columns<MT1>, Columns<MT2> >
1202 template<
typename MT1,
typename MT2 >
1204 :
public BoolConstant< IsSymmetric<MT1>::value && IsSymmetric<MT2>::value >
1220 template<
typename MT1,
typename MT2 >
1222 :
public BoolConstant< IsHermitian<MT1>::value && IsHermitian<MT2>::value >
1238 template<
typename MT1,
typename MT2 >
1239 struct IsLower< TSMatSMatSchurExpr<MT1,MT2> >
1240 :
public BoolConstant< Or< IsLower<MT1>, IsLower<MT2> >::value >
1256 template<
typename MT1,
typename MT2 >
1257 struct IsUniLower< TSMatSMatSchurExpr<MT1,MT2> >
1258 :
public BoolConstant< And< IsUniLower<MT1>, IsUniLower<MT2> >::value >
1274 template<
typename MT1,
typename MT2 >
1276 :
public BoolConstant< Or< IsStrictlyLower<MT1>, IsStrictlyLower<MT2> >::value >
1292 template<
typename MT1,
typename MT2 >
1293 struct IsUpper< TSMatSMatSchurExpr<MT1,MT2> >
1294 :
public BoolConstant< Or< IsUpper<MT1>, IsUpper<MT2> >::value >
1310 template<
typename MT1,
typename MT2 >
1311 struct IsUniUpper< TSMatSMatSchurExpr<MT1,MT2> >
1312 :
public BoolConstant< And< IsUniUpper<MT1>, IsUniUpper<MT2> >::value >
1328 template<
typename MT1,
typename MT2 >
1330 :
public BoolConstant< Or< IsStrictlyUpper<MT1>, IsStrictlyUpper<MT2> >::value >
SchurTrait_< RT1, RT2 > ResultType
Result type for expression template evaluations.
Definition: TSMatSMatSchurExpr.h:150
#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
ReturnType_< MT2 > RN2
Return type of the right-hand side sparse matrix expression.
Definition: TSMatSMatSchurExpr.h:113
Header file for auxiliary alias declarations.
Headerfile for the generic min algorithm.
Header file for the Schur product trait.
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 UNUSED_PARAMETER function template.
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 basic type definitions.
CompositeType_< MT1 > CT1
Composite type of the left-hand side sparse matrix expression.
Definition: TSMatSMatSchurExpr.h:114
MultExprTrait_< RN1, RN2 > ExprReturnType
Expression return type for the subscript operator.
Definition: TSMatSMatSchurExpr.h:128
Header file for the serial shim.
Generic wrapper for a compile time constant integral value.The IntegralConstant class template repres...
Definition: IntegralConstant.h:71
If_< IsExpression< MT1 >, const MT1, const MT1 &> LeftOperand
Composite type of the left-hand side sparse matrix expression.
Definition: TSMatSMatSchurExpr.h:162
ResultType_< MT1 > RT1
Result type of the left-hand side sparse matrix expression.
Definition: TSMatSMatSchurExpr.h:110
typename DisableIf< Condition, T >::Type DisableIf_
Auxiliary type for the DisableIf class template.The DisableIf_ alias declaration provides a convenien...
Definition: DisableIf.h:224
size_t columns() const noexcept
Returns the current number of columns of the matrix.
Definition: TSMatSMatSchurExpr.h:236
Header file for the And class template.
const ElementType_< MT > min(const DenseMatrix< MT, SO > &dm)
Returns the smallest element of the dense matrix.
Definition: DenseMatrix.h:1762
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 Computation base class.
Compile time check for upper triangular matrices.This type trait tests whether or not the given templ...
Definition: IsUpper.h:88
Constraints on the storage order of matrix types.
size_t rows() const noexcept
Returns the current number of rows of the matrix.
Definition: TSMatSMatSchurExpr.h:226
LeftOperand lhs_
Left-hand side sparse matrix of the Schur product expression.
Definition: TSMatSMatSchurExpr.h:308
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
size_t nonZeros(size_t i) const
Returns the number of non-zero elements in the specified row.
Definition: TSMatSMatSchurExpr.h:257
#define BLAZE_CONSTRAINT_MUST_FORM_VALID_SCHUREXPR(T1, T2)
Constraint on the data type.In case the given data types T1 and T2 do not form a valid matrix/matrix ...
Definition: SchurExpr.h:108
RightOperand rhs_
Right-hand side sparse matrix of the Schur product expression.
Definition: TSMatSMatSchurExpr.h:309
RightOperand rightOperand() const noexcept
Returns the right-hand side sparse matrix operand.
Definition: TSMatSMatSchurExpr.h:277
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
Header file for all forward declarations for sparse vectors and matrices.
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
Header file for the SparseMatrix base class.
Constraint on the data type.
Header file for the Maximum class template.
typename MultExprTrait< T1, T2 >::Type MultExprTrait_
Auxiliary alias declaration for the MultExprTrait class template.The MultExprTrait_ alias declaration...
Definition: MultExprTrait.h:112
Header file for the MultExprTrait class template.
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
Efficient implementation of an identity matrix.The IdentityMatrix class template is the representati...
Definition: Forward.h:49
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.
Namespace of the Blaze C++ math library.
Definition: Blaze.h:57
Header file for the If class template.
TransposeType_< ResultType > TransposeType
Transpose type for expression template evaluations.
Definition: TSMatSMatSchurExpr.h:152
#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
const IfTrue_< returnExpr, ExprReturnType, ElementType > ReturnType
Return type for expression template evaluations.
Definition: TSMatSMatSchurExpr.h:156
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
ReturnType operator()(size_t i, size_t j) const
2D-access to the matrix elements.
Definition: TSMatSMatSchurExpr.h:195
Header file for the Columns type trait.
bool isAliased(const T *alias) const noexcept
Returns whether the expression is aliased with the given address alias.
Definition: TSMatSMatSchurExpr.h:301
typename T::ElementType ElementType_
Alias declaration for nested ElementType type definitions.The ElementType_ alias declaration provides...
Definition: Aliases.h:163
Header file for the IsLower type trait.
typename SchurTrait< T1, T2 >::Type SchurTrait_
Auxiliary alias declaration for the SchurTrait class template.The SchurTrait_ alias declaration provi...
Definition: SchurTrait.h:167
CompositeType_< MT2 > CT2
Composite type of the right-hand side sparse matrix expression.
Definition: TSMatSMatSchurExpr.h:115
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
Header file for all forward declarations for expression class templates.
Header file for the EnableIf class template.
Header file for the IsStrictlyLower type trait.
ReturnType_< MT1 > RN1
Return type of the left-hand side sparse matrix expression.
Definition: TSMatSMatSchurExpr.h:112
ElementType_< ResultType > ElementType
Resulting element type.
Definition: TSMatSMatSchurExpr.h:153
#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
Compile time check for lower unitriangular matrices.This type trait tests whether or not the given te...
Definition: IsUniLower.h:86
size_t nonZeros() const
Returns the number of non-zero elements in the sparse matrix.
Definition: TSMatSMatSchurExpr.h:246
#define BLAZE_CONSTRAINT_MUST_NOT_BE_SYMMETRIC_MATRIX_TYPE(T)
Constraint on the data type.In case the given data type T is a symmetric matrix type, a compilation error is created.
Definition: Symmetric.h:79
#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
TSMatSMatSchurExpr(const MT1 &lhs, const MT2 &rhs) noexcept
Constructor for the TSMatSMatSchurExpr class.
Definition: TSMatSMatSchurExpr.h:179
Header file for run time assertion macros.
const ResultType CompositeType
Data type for composite expression templates.
Definition: TSMatSMatSchurExpr.h:159
OppositeType_< ResultType > OppositeType
Result type with opposite storage order for expression template evaluations.
Definition: TSMatSMatSchurExpr.h:151
LeftOperand leftOperand() const noexcept
Returns the left-hand side transpose sparse matrix operand.
Definition: TSMatSMatSchurExpr.h:267
Header file for the SchurExpr base class.
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
If_< IsExpression< MT2 >, const MT2, const MT2 &> RightOperand
Composite type of the right-hand side sparse matrix expression.
Definition: TSMatSMatSchurExpr.h:165
#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
Base class for matrices.The Matrix class is a base class for all dense and sparse matrix classes with...
Definition: Forward.h:101
Constraint on the data type.
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
Header file for the RemoveReference type trait.
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
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
ReturnType at(size_t i, size_t j) const
Checked access to the matrix elements.
Definition: TSMatSMatSchurExpr.h:210
Header file for the IsComputation type trait class.
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
bool canAlias(const T *alias) const noexcept
Returns whether the expression can alias with the given address alias.
Definition: TSMatSMatSchurExpr.h:289
Header file for the IsUpper type trait.
void UNUSED_PARAMETER(const Args &...)
Suppression of unused parameter warnings.
Definition: Unused.h:81
ResultType_< MT2 > RT2
Result type of the right-hand side sparse matrix expression.
Definition: TSMatSMatSchurExpr.h:111
Header file for the IsHermitian 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
Expression object for transpose sparse matrix-sparse matrix Schur products.The TSMatSMatSchurExpr cla...
Definition: Forward.h:165
Header file for the IsExpression type trait class.
Header file for the function trace functionality.
Constraint on the data type.