35 #ifndef _BLAZE_MATH_EXPRESSIONS_DMATTDMATSCHUREXPR_H_ 36 #define _BLAZE_MATH_EXPRESSIONS_DMATTDMATSCHUREXPR_H_ 105 template<
typename MT1
108 :
public SchurExpr< DenseMatrix< DMatTDMatSchurExpr<MT1,MT2>, false > >
145 template<
typename MT >
148 enum :
bool { value = useAssign };
161 template<
typename MT >
162 struct UseSMPAssign {
163 enum :
bool { value = ( !MT1::smpAssignable || !MT2::smpAssignable ) && useAssign };
191 enum :
bool { simdEnabled =
false };
194 enum :
bool { smpAssignable = MT1::smpAssignable && MT2::smpAssignable };
235 if( i >=
lhs_.rows() ) {
238 if( j >=
lhs_.columns() ) {
250 inline size_t rows() const noexcept {
261 return lhs_.columns();
291 template<
typename T >
292 inline bool canAlias(
const T* alias )
const noexcept {
304 template<
typename T >
305 inline bool isAliased(
const T* alias )
const noexcept {
306 return (
lhs_.isAliased( alias ) ||
rhs_.isAliased( alias ) );
316 return lhs_.isAligned() &&
rhs_.isAligned();
326 return lhs_.canSMPAssign() ||
rhs_.canSMPAssign() ||
327 (
rows() *
columns() >= SMP_DMATTDMATSCHUR_THRESHOLD );
351 template<
typename MT
361 constexpr
size_t block( BLOCK_SIZE );
363 const size_t m( rhs.
rows() );
364 const size_t n( rhs.
columns() );
366 for(
size_t ii=0UL; ii<m; ii+=block ) {
367 const size_t iend( ( m < ii+block )?( m ):( ii+block ) );
368 for(
size_t jj=0UL; jj<n; jj+=block ) {
369 const size_t jend( ( n < jj+block )?( n ):( jj+block ) );
370 for(
size_t i=ii; i<iend; ++i ) {
371 for(
size_t j=jj; j<jend; ++j ) {
372 (~lhs)(i,j) = rhs.
lhs_(i,j) * rhs.
rhs_(i,j);
395 template<
typename MT
406 schurAssign( ~lhs, rhs.
rhs_ );
409 assign ( ~lhs, rhs.
lhs_ );
410 schurAssign( ~lhs, rhs.
rhs_ );
428 template<
typename MT
446 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);
512 template<
typename MT
527 addAssign( ~lhs, tmp );
551 template<
typename MT
561 constexpr
size_t block( BLOCK_SIZE );
563 const size_t m( rhs.
rows() );
564 const size_t n( rhs.
columns() );
566 for(
size_t ii=0UL; ii<m; ii+=block ) {
567 const size_t iend( ( m < ii+block )?( m ):( ii+block ) );
568 for(
size_t jj=0UL; jj<n; jj+=block ) {
569 const size_t jend( ( n < jj+block )?( n ):( jj+block ) );
570 for(
size_t i=ii; i<iend; ++i ) {
571 for(
size_t j=jj; j<jend; ++j ) {
572 (~lhs)(i,j) -= rhs.
lhs_(i,j) * rhs.
rhs_(i,j);
596 template<
typename MT
611 subAssign( ~lhs, tmp );
635 template<
typename MT
645 constexpr
size_t block( BLOCK_SIZE );
647 const size_t m( rhs.
rows() );
648 const size_t n( rhs.
columns() );
650 for(
size_t ii=0UL; ii<m; ii+=block ) {
651 const size_t iend( ( m < ii+block )?( m ):( ii+block ) );
652 for(
size_t jj=0UL; jj<n; jj+=block ) {
653 const size_t jend( ( n < jj+block )?( n ):( jj+block ) );
654 for(
size_t i=ii; i<iend; ++i ) {
655 for(
size_t j=jj; j<jend; ++j ) {
656 (~lhs)(i,j) *= rhs.
lhs_(i,j) * rhs.
rhs_(i,j);
680 template<
typename MT
690 schurAssign( ~lhs, rhs.
lhs_ );
691 schurAssign( ~lhs, rhs.
rhs_ );
723 template<
typename MT
759 template<
typename MT
778 const TmpType tmp( rhs );
799 template<
typename MT
838 template<
typename MT
877 template<
typename MT
938 template<
typename MT1
971 template<
typename MT1
973 inline decltype(
auto)
985 return trans( ~lhs ) % ~rhs;
1004 template<
typename MT1
1006 inline decltype(
auto)
1017 return (~lhs) %
trans( ~rhs );
1036 template<
typename MT1
1050 return IdentityMatrix< MultTrait_< ElementType_<MT1>, ElementType_<MT2> >,
false >( (~lhs).
rows() );
1085 template<
typename MT1
1087 inline decltype(
auto)
1096 return dmattdmatschur( ~lhs, ~rhs );
1114 template<
typename MT1
1147 template<
typename MT1
1149 inline decltype(
auto)
1161 return (~lhs) %
trans( ~rhs );
1180 template<
typename MT1
1182 inline decltype(
auto)
1193 return trans( ~lhs ) % (~rhs);
1212 template<
typename MT1
1261 template<
typename MT1
1263 inline decltype(
auto)
1272 return tdmatdmatschur( ~lhs, ~rhs );
1287 template<
typename MT1,
typename MT2 >
1288 struct Rows< DMatTDMatSchurExpr<MT1,MT2> >
1289 :
public Maximum< Rows<MT1>, Rows<MT2> >
1305 template<
typename MT1,
typename MT2 >
1306 struct Columns< DMatTDMatSchurExpr<MT1,MT2> >
1307 :
public Maximum< Columns<MT1>, Columns<MT2> >
1323 template<
typename MT1,
typename MT2 >
1324 struct IsAligned< DMatTDMatSchurExpr<MT1,MT2> >
1325 :
public BoolConstant< And< IsAligned<MT1>, IsAligned<MT2> >::value >
1341 template<
typename MT1,
typename MT2 >
1343 :
public BoolConstant< IsSymmetric<MT1>::value && IsSymmetric<MT2>::value >
1359 template<
typename MT1,
typename MT2 >
1361 :
public BoolConstant< IsHermitian<MT1>::value && IsHermitian<MT2>::value >
1377 template<
typename MT1,
typename MT2 >
1378 struct IsLower< DMatTDMatSchurExpr<MT1,MT2> >
1379 :
public BoolConstant< Or< IsLower<MT1>, IsLower<MT2> >::value >
1395 template<
typename MT1,
typename MT2 >
1396 struct IsUniLower< DMatTDMatSchurExpr<MT1,MT2> >
1397 :
public BoolConstant< And< IsUniLower<MT1>, IsUniLower<MT2> >::value >
1413 template<
typename MT1,
typename MT2 >
1415 :
public BoolConstant< Or< IsStrictlyLower<MT1>, IsStrictlyLower<MT2> >::value >
1431 template<
typename MT1,
typename MT2 >
1432 struct IsUpper< DMatTDMatSchurExpr<MT1,MT2> >
1433 :
public BoolConstant< Or< IsUpper<MT1>, IsUpper<MT2> >::value >
1449 template<
typename MT1,
typename MT2 >
1450 struct IsUniUpper< DMatTDMatSchurExpr<MT1,MT2> >
1451 :
public BoolConstant< And< IsUniUpper<MT1>, IsUniUpper<MT2> >::value >
1467 template<
typename MT1,
typename MT2 >
1469 :
public BoolConstant< Or< IsStrictlyUpper<MT1>, IsStrictlyUpper<MT2> >::value >
#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: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
LeftOperand lhs_
Left-hand side dense matrix of the Schur product expression.
Definition: DMatTDMatSchurExpr.h:333
bool isAligned() const noexcept
Returns whether the operands of the expression are properly aligned in memory.
Definition: DMatTDMatSchurExpr.h:315
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
CompositeType_< MT1 > CT1
Composite type of the left-hand side dense matrix expression.
Definition: DMatTDMatSchurExpr.h:117
TransposeType_< ResultType > TransposeType
Transpose type for expression template evaluations.
Definition: DMatTDMatSchurExpr.h:173
LeftOperand leftOperand() const noexcept
Returns the left-hand side dense matrix operand.
Definition: DMatTDMatSchurExpr.h:270
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:88
RightOperand rightOperand() const noexcept
Returns the right-hand side transpose dense matrix operand.
Definition: DMatTDMatSchurExpr.h:280
const ResultType CompositeType
Data type for composite expression templates.
Definition: DMatTDMatSchurExpr.h:180
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.
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:108
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.
bool canAlias(const T *alias) const noexcept
Returns whether the expression can alias with the given address alias.
Definition: DMatTDMatSchurExpr.h:292
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:72
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:114
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.
#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:260
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
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:167
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:113
const IfTrue_< returnExpr, ExprReturnType, ElementType > ReturnType
Return type for expression template evaluations.
Definition: DMatTDMatSchurExpr.h:177
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:186
#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:118
ReturnType at(size_t i, size_t j) const
Checked access to the matrix elements.
Definition: DMatTDMatSchurExpr.h:234
#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:203
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:183
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:107
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
bool canSMPAssign() const noexcept
Returns whether the expression can be used in SMP assignments.
Definition: DMatTDMatSchurExpr.h:325
RightOperand rhs_
Right-hand side dense matrix of the Schur product expression.
Definition: DMatTDMatSchurExpr.h:334
OppositeType_< ResultType > OppositeType
Result type with opposite storage order for expression template evaluations.
Definition: DMatTDMatSchurExpr.h:172
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:116
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:174
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
MultExprTrait_< RN1, RN2 > ExprReturnType
Expression return type for the subscript operator.
Definition: DMatTDMatSchurExpr.h:131
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
ReturnType_< MT1 > RN1
Return type of the left-hand side dense matrix expression.
Definition: DMatTDMatSchurExpr.h:115
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
size_t rows() const noexcept
Returns the current number of rows of the matrix.
Definition: DMatTDMatSchurExpr.h:250
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
bool isAliased(const T *alias) const noexcept
Returns whether the expression is aliased with the given address alias.
Definition: DMatTDMatSchurExpr.h:305
SchurTrait_< RT1, RT2 > ResultType
Result type for expression template evaluations.
Definition: DMatTDMatSchurExpr.h:171
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 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:219
Header file for the IsExpression type trait class.
Header file for the function trace functionality.
Constraint on the data type.