35 #ifndef _BLAZE_MATH_EXPRESSIONS_DMATTDMATSCHUREXPR_H_ 36 #define _BLAZE_MATH_EXPRESSIONS_DMATTDMATSCHUREXPR_H_ 104 template<
typename MT1
107 :
public SchurExpr< DenseMatrix< DMatTDMatSchurExpr<MT1,MT2>, false > >
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 };
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_DMATTDMATSCHUR_THRESHOLD );
350 template<
typename MT
360 constexpr
size_t block( BLOCK_SIZE );
362 const size_t m( rhs.
rows() );
363 const size_t n( rhs.
columns() );
365 for(
size_t ii=0UL; ii<m; ii+=block ) {
366 const size_t iend( ( m < ii+block )?( m ):( ii+block ) );
367 for(
size_t jj=0UL; jj<n; jj+=block ) {
368 const size_t jend( ( n < jj+block )?( n ):( jj+block ) );
369 for(
size_t i=ii; i<iend; ++i ) {
370 for(
size_t j=jj; j<jend; ++j ) {
371 (~lhs)(i,j) = rhs.
lhs_(i,j) * rhs.
rhs_(i,j);
394 template<
typename MT
405 schurAssign( ~lhs, rhs.
rhs_ );
408 assign ( ~lhs, rhs.
lhs_ );
409 schurAssign( ~lhs, rhs.
rhs_ );
427 template<
typename MT
445 const TmpType tmp(
serial( rhs ) );
466 template<
typename MT
476 constexpr
size_t block( BLOCK_SIZE );
478 const size_t m( rhs.
rows() );
479 const size_t n( rhs.
columns() );
481 for(
size_t ii=0UL; ii<m; ii+=block ) {
482 const size_t iend( ( m < ii+block )?( m ):( ii+block ) );
483 for(
size_t jj=0UL; jj<n; jj+=block ) {
484 const size_t jend( ( n < jj+block )?( n ):( jj+block ) );
485 for(
size_t i=ii; i<iend; ++i ) {
486 for(
size_t j=jj; j<jend; ++j ) {
487 (~lhs)(i,j) += rhs.
lhs_(i,j) * rhs.
rhs_(i,j);
511 template<
typename MT
526 addAssign( ~lhs, tmp );
550 template<
typename MT
560 constexpr
size_t block( BLOCK_SIZE );
562 const size_t m( rhs.
rows() );
563 const size_t n( rhs.
columns() );
565 for(
size_t ii=0UL; ii<m; ii+=block ) {
566 const size_t iend( ( m < ii+block )?( m ):( ii+block ) );
567 for(
size_t jj=0UL; jj<n; jj+=block ) {
568 const size_t jend( ( n < jj+block )?( n ):( jj+block ) );
569 for(
size_t i=ii; i<iend; ++i ) {
570 for(
size_t j=jj; j<jend; ++j ) {
571 (~lhs)(i,j) -= rhs.
lhs_(i,j) * rhs.
rhs_(i,j);
595 template<
typename MT
610 subAssign( ~lhs, tmp );
634 template<
typename MT
644 constexpr
size_t block( BLOCK_SIZE );
646 const size_t m( rhs.
rows() );
647 const size_t n( rhs.
columns() );
649 for(
size_t ii=0UL; ii<m; ii+=block ) {
650 const size_t iend( ( m < ii+block )?( m ):( ii+block ) );
651 for(
size_t jj=0UL; jj<n; jj+=block ) {
652 const size_t jend( ( n < jj+block )?( n ):( jj+block ) );
653 for(
size_t i=ii; i<iend; ++i ) {
654 for(
size_t j=jj; j<jend; ++j ) {
655 (~lhs)(i,j) *= rhs.
lhs_(i,j) * rhs.
rhs_(i,j);
679 template<
typename MT
689 schurAssign( ~lhs, rhs.
lhs_ );
690 schurAssign( ~lhs, rhs.
rhs_ );
722 template<
typename MT
758 template<
typename MT
777 const TmpType tmp( rhs );
798 template<
typename MT
837 template<
typename MT
876 template<
typename MT
937 template<
typename MT1
970 template<
typename MT1
972 inline decltype(
auto)
984 return trans( ~lhs ) % ~rhs;
1003 template<
typename MT1
1005 inline decltype(
auto)
1016 return (~lhs) %
trans( ~rhs );
1035 template<
typename MT1
1049 return IdentityMatrix< MultTrait_< ElementType_<MT1>, ElementType_<MT2> >,
false >( (~lhs).
rows() );
1084 template<
typename MT1
1086 inline decltype(
auto)
1095 return dmattdmatschur( ~lhs, ~rhs );
1113 template<
typename MT1
1146 template<
typename MT1
1148 inline decltype(
auto)
1160 return (~lhs) %
trans( ~rhs );
1179 template<
typename MT1
1181 inline decltype(
auto)
1192 return trans( ~lhs ) % (~rhs);
1211 template<
typename MT1
1260 template<
typename MT1
1262 inline decltype(
auto)
1271 return tdmatdmatschur( ~lhs, ~rhs );
1286 template<
typename MT1,
typename MT2 >
1287 struct Size< DMatTDMatSchurExpr<MT1,MT2>, 0UL >
1288 :
public Maximum< Size<MT1,0UL>, Size<MT2,0UL> >
1291 template<
typename MT1,
typename MT2 >
1292 struct Size< DMatTDMatSchurExpr<MT1,MT2>, 1UL >
1293 :
public Maximum< Size<MT1,1UL>, Size<MT2,1UL> >
1309 template<
typename MT1,
typename MT2 >
1310 struct IsAligned< DMatTDMatSchurExpr<MT1,MT2> >
1311 :
public And< IsAligned<MT1>, IsAligned<MT2> >
1327 template<
typename MT1,
typename MT2 >
1329 :
public And< IsSymmetric<MT1>, IsSymmetric<MT2> >
1345 template<
typename MT1,
typename MT2 >
1347 :
public And< IsHermitian<MT1>, IsHermitian<MT2> >
1363 template<
typename MT1,
typename MT2 >
1364 struct IsLower< DMatTDMatSchurExpr<MT1,MT2> >
1365 :
public Or< IsLower<MT1>, IsLower<MT2> >
1381 template<
typename MT1,
typename MT2 >
1382 struct IsUniLower< DMatTDMatSchurExpr<MT1,MT2> >
1383 :
public And< IsUniLower<MT1>, IsUniLower<MT2> >
1399 template<
typename MT1,
typename MT2 >
1401 :
public Or< IsStrictlyLower<MT1>, IsStrictlyLower<MT2> >
1417 template<
typename MT1,
typename MT2 >
1418 struct IsUpper< DMatTDMatSchurExpr<MT1,MT2> >
1419 :
public Or< IsUpper<MT1>, IsUpper<MT2> >
1435 template<
typename MT1,
typename MT2 >
1436 struct IsUniUpper< DMatTDMatSchurExpr<MT1,MT2> >
1437 :
public And< IsUniUpper<MT1>, IsUniUpper<MT2> >
1453 template<
typename MT1,
typename MT2 >
1455 :
public Or< IsStrictlyUpper<MT1>, IsStrictlyUpper<MT2> >
#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.
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:69
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
LeftOperand lhs_
Left-hand side dense matrix of the Schur product expression.
Definition: DMatTDMatSchurExpr.h:332
bool isAligned() const noexcept
Returns whether the operands of the expression are properly aligned in memory.
Definition: DMatTDMatSchurExpr.h:314
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:949
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:70
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_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
CompositeType_< MT1 > CT1
Composite type of the left-hand side dense matrix expression.
Definition: DMatTDMatSchurExpr.h:116
TransposeType_< ResultType > TransposeType
Transpose type for expression template evaluations.
Definition: DMatTDMatSchurExpr.h:172
LeftOperand leftOperand() const noexcept
Returns the left-hand side dense matrix operand.
Definition: DMatTDMatSchurExpr.h:269
typename DisableIf< Condition, T >::Type DisableIf_
Auxiliary type for the DisableIf class template.The DisableIf_ alias declaration provides a convenien...
Definition: DisableIf.h:224
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
RightOperand rightOperand() const noexcept
Returns the right-hand side transpose dense matrix operand.
Definition: DMatTDMatSchurExpr.h:279
const ResultType CompositeType
Data type for composite expression templates.
Definition: DMatTDMatSchurExpr.h:179
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
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
#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:107
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
Header file for all forward declarations for sparse vectors and matrices.
bool canAlias(const T *alias) const noexcept
Returns whether the expression can alias with the given address alias.
Definition: DMatTDMatSchurExpr.h:291
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
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.
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.
Compile time check to query the requirement to evaluate an expression.Via this type trait it is possi...
Definition: RequiresEvaluation.h:71
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
ResultType_< MT2 > RT2
Result type of the right-hand side dense matrix expression.
Definition: DMatTDMatSchurExpr.h:113
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 multiplication trait.
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.
#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
size_t columns() const noexcept
Returns the current number of columns of the matrix.
Definition: DMatTDMatSchurExpr.h:259
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 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 IsOperation type trait class.
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:208
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
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
ResultType_< MT1 > RT1
Result type of the left-hand side dense matrix expression.
Definition: DMatTDMatSchurExpr.h:112
const IfTrue_< returnExpr, ExprReturnType, ElementType > ReturnType
Return type for expression template evaluations.
Definition: DMatTDMatSchurExpr.h:176
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.
If_< IsExpression< MT2 >, const MT2, const MT2 &> RightOperand
Composite type of the right-hand side dense matrix expression.
Definition: DMatTDMatSchurExpr.h:185
#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
CompositeType_< MT2 > CT2
Composite type of the right-hand side dense matrix expression.
Definition: DMatTDMatSchurExpr.h:117
ReturnType at(size_t i, size_t j) const
Checked access to the matrix elements.
Definition: DMatTDMatSchurExpr.h:233
#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
DMatTDMatSchurExpr(const MT1 &lhs, const MT2 &rhs) noexcept
Constructor for the DMatTDMatSchurExpr class.
Definition: DMatTDMatSchurExpr.h:202
Base class for all Schur product expression templates.The SchurExpr class serves as a tag for all exp...
Definition: SchurExpr.h:66
Header file for run time assertion macros.
If_< IsExpression< MT1 >, const MT1, const MT1 &> LeftOperand
Composite type of the left-hand side dense matrix expression.
Definition: DMatTDMatSchurExpr.h:182
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
#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
Expression object for dense matrix-transpose dense matrix Schur product.The DMatTDMatSchurExpr class ...
Definition: DMatTDMatSchurExpr.h:106
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: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
bool canSMPAssign() const noexcept
Returns whether the expression can be used in SMP assignments.
Definition: DMatTDMatSchurExpr.h:324
RightOperand rhs_
Right-hand side dense matrix of the Schur product expression.
Definition: DMatTDMatSchurExpr.h:333
OppositeType_< ResultType > OppositeType
Result type with opposite storage order for expression template evaluations.
Definition: DMatTDMatSchurExpr.h:171
typename EnableIf< Condition, T >::Type EnableIf_
Auxiliary alias declaration for the EnableIf class template.The EnableIf_ alias declaration provides ...
Definition: EnableIf.h:224
ReturnType_< MT2 > RN2
Return type of the right-hand side dense matrix expression.
Definition: DMatTDMatSchurExpr.h:115
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
ElementType_< ResultType > ElementType
Resulting element type.
Definition: DMatTDMatSchurExpr.h:173
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:789
MultExprTrait_< RN1, RN2 > ExprReturnType
Expression return type for the subscript operator.
Definition: DMatTDMatSchurExpr.h:130
Base class for all compute expression templates.The Computation class serves as a tag for all computa...
Definition: Computation.h:66
Compile time logical 'or' evaluation.The Or alias declaration performs at compile time a logical 'or'...
Definition: Or.h:76
Compile time evaluation of the size of vectors and matrices.The Size type trait evaluates the size of...
Definition: Size.h:80
ReturnType_< MT1 > RN1
Return type of the left-hand side dense matrix expression.
Definition: DMatTDMatSchurExpr.h:114
size_t rows() const noexcept
Returns the current number of rows of the matrix.
Definition: DMatTDMatSchurExpr.h:249
Compile time logical 'and' evaluation.The And alias declaration performs at compile time a logical 'a...
Definition: And.h:76
bool isAliased(const T *alias) const noexcept
Returns whether the expression is aliased with the given address alias.
Definition: DMatTDMatSchurExpr.h:304
SchurTrait_< RT1, RT2 > ResultType
Result type for expression template evaluations.
Definition: DMatTDMatSchurExpr.h:170
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.
void UNUSED_PARAMETER(const Args &...)
Suppression of unused parameter warnings.
Definition: Unused.h:81
Header file for the IsHermitian type trait.
Header file for the Size type trait.
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:95
ReturnType operator()(size_t i, size_t j) const
2D-access to the matrix elements.
Definition: DMatTDMatSchurExpr.h:218
Header file for the IsExpression type trait class.
Header file for the function trace functionality.
Constraint on the data type.