35 #ifndef _BLAZE_MATH_EXPRESSIONS_DMATTDMATADDEXPR_H_ 36 #define _BLAZE_MATH_EXPRESSIONS_DMATTDMATADDEXPR_H_ 101 template<
typename MT1
104 :
public MatMatAddExpr< DenseMatrix< DMatTDMatAddExpr<MT1,MT2>, false > >
141 template<
typename MT >
144 enum :
bool { value = useAssign };
157 template<
typename MT >
158 struct UseSMPAssign {
159 enum :
bool { value = ( !MT1::smpAssignable || !MT2::smpAssignable ) && useAssign };
187 enum :
bool { simdEnabled =
false };
190 enum :
bool { smpAssignable = MT1::smpAssignable && MT2::smpAssignable };
231 if( i >=
lhs_.rows() ) {
234 if( j >=
lhs_.columns() ) {
246 inline size_t rows() const noexcept {
257 return lhs_.columns();
287 template<
typename T >
288 inline bool canAlias(
const T* alias )
const noexcept {
300 template<
typename T >
301 inline bool isAliased(
const T* alias )
const noexcept {
302 return (
lhs_.isAliased( alias ) ||
rhs_.isAliased( alias ) );
312 return lhs_.isAligned() &&
rhs_.isAligned();
322 return lhs_.canSMPAssign() ||
rhs_.canSMPAssign() ||
323 (
rows() *
columns() >= SMP_DMATTDMATADD_THRESHOLD );
347 template<
typename MT
357 constexpr
size_t block( BLOCK_SIZE );
359 const size_t m( rhs.
rows() );
360 const size_t n( rhs.
columns() );
362 for(
size_t ii=0UL; ii<m; ii+=block ) {
363 const size_t iend( ( m < ii+block )?( m ):( ii+block ) );
364 for(
size_t jj=0UL; jj<n; jj+=block ) {
365 const size_t jend( ( n < jj+block )?( n ):( jj+block ) );
366 for(
size_t i=ii; i<iend; ++i ) {
367 for(
size_t j=jj; j<jend; ++j ) {
368 (~lhs)(i,j) = rhs.
lhs_(i,j) + rhs.
rhs_(i,j);
391 template<
typename MT
402 addAssign( ~lhs, rhs.
rhs_ );
405 addAssign( ~lhs, rhs.
lhs_ );
408 assign ( ~lhs, rhs.
lhs_ );
409 addAssign( ~lhs, rhs.
rhs_ );
427 template<
typename MT
445 const TmpType tmp(
serial( rhs ) );
465 template<
typename MT
475 constexpr
size_t block( BLOCK_SIZE );
477 const size_t m( rhs.
rows() );
478 const size_t n( rhs.
columns() );
480 for(
size_t ii=0UL; ii<m; ii+=block ) {
481 const size_t iend( ( m < ii+block )?( m ):( ii+block ) );
482 for(
size_t jj=0UL; jj<n; jj+=block ) {
483 const size_t jend( ( n < jj+block )?( n ):( jj+block ) );
484 for(
size_t i=ii; i<iend; ++i ) {
485 for(
size_t j=jj; j<jend; ++j ) {
486 (~lhs)(i,j) += rhs.
lhs_(i,j) + rhs.
rhs_(i,j);
509 template<
typename MT
519 addAssign( ~lhs, rhs.
lhs_ );
520 addAssign( ~lhs, rhs.
rhs_ );
543 template<
typename MT
553 constexpr
size_t block( BLOCK_SIZE );
555 const size_t m( rhs.
rows() );
556 const size_t n( rhs.
columns() );
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);
587 template<
typename MT
597 subAssign( ~lhs, rhs.
lhs_ );
598 subAssign( ~lhs, rhs.
rhs_ );
622 template<
typename MT
637 schurAssign( ~lhs, tmp );
668 template<
typename MT
706 template<
typename MT
725 const TmpType tmp( rhs );
746 template<
typename MT
781 template<
typename MT
816 template<
typename MT
882 template<
typename MT1
912 template<
typename MT1
914 inline decltype(
auto)
923 return trans( ~lhs ) + ~rhs;
942 template<
typename MT1
944 inline decltype(
auto)
953 return (~lhs) +
trans( ~rhs );
988 template<
typename MT1
990 inline decltype(
auto)
999 return dmattdmatadd( ~lhs, ~rhs );
1017 template<
typename MT1
1047 template<
typename MT1
1049 inline decltype(
auto)
1058 return trans( ~rhs ) + (~lhs);
1077 template<
typename MT1
1079 inline decltype(
auto)
1088 return (~rhs) +
trans( ~lhs );
1123 template<
typename MT1
1125 inline decltype(
auto)
1134 return tdmatdmatadd( ~lhs, ~rhs );
1149 template<
typename MT1,
typename MT2 >
1150 struct Size< DMatTDMatAddExpr<MT1,MT2>, 0UL >
1151 :
public Maximum< Size<MT1,0UL>, Size<MT2,0UL> >
1154 template<
typename MT1,
typename MT2 >
1155 struct Size< DMatTDMatAddExpr<MT1,MT2>, 1UL >
1156 :
public Maximum< Size<MT1,1UL>, Size<MT2,1UL> >
1172 template<
typename MT1,
typename MT2 >
1173 struct IsAligned< DMatTDMatAddExpr<MT1,MT2> >
1174 :
public And< IsAligned<MT1>, IsAligned<MT2> >
1190 template<
typename MT1,
typename MT2 >
1192 :
public And< IsSymmetric<MT1>, IsSymmetric<MT2> >
1208 template<
typename MT1,
typename MT2 >
1210 :
public And< IsHermitian<MT1>, IsHermitian<MT2> >
1226 template<
typename MT1,
typename MT2 >
1227 struct IsLower< DMatTDMatAddExpr<MT1,MT2> >
1228 :
public And< IsLower<MT1>, IsLower<MT2> >
1244 template<
typename MT1,
typename MT2 >
1245 struct IsUniLower< DMatTDMatAddExpr<MT1,MT2> >
1246 :
public Or< And< IsUniLower<MT1>, IsStrictlyLower<MT2> >
1247 , And< IsUniLower<MT2>, IsStrictlyLower<MT1> > >
1263 template<
typename MT1,
typename MT2 >
1265 :
public And< IsStrictlyLower<MT1>, IsStrictlyLower<MT2> >
1281 template<
typename MT1,
typename MT2 >
1282 struct IsUpper< DMatTDMatAddExpr<MT1,MT2> >
1283 :
public And< IsUpper<MT1>, IsUpper<MT2> >
1299 template<
typename MT1,
typename MT2 >
1300 struct IsUniUpper< DMatTDMatAddExpr<MT1,MT2> >
1301 :
public Or< And< IsUniUpper<MT1>, IsStrictlyUpper<MT2> >
1302 , And< IsUniUpper<MT2>, IsStrictlyUpper<MT1> > >
1318 template<
typename MT1,
typename MT2 >
1320 :
public And< IsStrictlyUpper<MT1>, IsStrictlyUpper<MT2> >
size_t columns() const noexcept
Returns the current number of columns of the matrix.
Definition: DMatTDMatAddExpr.h:256
If_< IsExpression< MT1 >, const MT1, const MT1 &> LeftOperand
Composite type of the left-hand side dense matrix expression.
Definition: DMatTDMatAddExpr.h:179
#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.
Compile time check whether the given type is a temporary vector or matrix type.This type trait class ...
Definition: IsTemporary.h:69
DMatTDMatAddExpr(const MT1 &lhs, const MT2 &rhs) noexcept
Constructor for the DMatTDMatAddExpr class.
Definition: DMatTDMatAddExpr.h:199
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
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
RightOperand rightOperand() const noexcept
Returns the right-hand side transpose dense matrix operand.
Definition: DMatTDMatAddExpr.h:276
typename DisableIf< Condition, T >::Type DisableIf_
Auxiliary type for the DisableIf class template.The DisableIf_ alias declaration provides a convenien...
Definition: DisableIf.h:224
ReturnType at(size_t i, size_t j) const
Checked access to the matrix elements.
Definition: DMatTDMatAddExpr.h:230
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
Header file for the AddExprTrait class template.
const IfTrue_< returnExpr, ExprReturnType, ElementType > ReturnType
Return type for expression template evaluations.
Definition: DMatTDMatAddExpr.h:173
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
bool canSMPAssign() const noexcept
Returns whether the expression can be used in SMP assignments.
Definition: DMatTDMatAddExpr.h:321
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
CompositeType_< MT2 > CT2
Composite type of the right-hand side dense matrix expression.
Definition: DMatTDMatAddExpr.h:114
ElementType_< ResultType > ElementType
Resulting element type.
Definition: DMatTDMatAddExpr.h:170
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
CompositeType_< MT1 > CT1
Composite type of the left-hand side dense matrix expression.
Definition: DMatTDMatAddExpr.h:113
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.
Compile time check to query the requirement to evaluate an expression.Via this type trait it is possi...
Definition: RequiresEvaluation.h:71
ReturnType_< MT2 > RN2
Return type of the right-hand side dense matrix expression.
Definition: DMatTDMatAddExpr.h:112
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
LeftOperand leftOperand() const noexcept
Returns the left-hand side dense matrix operand.
Definition: DMatTDMatAddExpr.h:266
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.
typename AddExprTrait< T1, T2 >::Type AddExprTrait_
Auxiliary alias declaration for the AddExprTrait class template.The AddExprTrait_ alias declaration p...
Definition: AddExprTrait.h:112
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
bool isAliased(const T *alias) const noexcept
Returns whether the expression is aliased with the given address alias.
Definition: DMatTDMatAddExpr.h:301
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
AddTrait_< RT1, RT2 > ResultType
Result type for expression template evaluations.
Definition: DMatTDMatAddExpr.h:167
Base class for all matrix/matrix addition expression templates.The MatMatAddExpr class serves as a ta...
Definition: MatMatAddExpr.h:66
Header file for the IsOperation type trait class.
Header file for the IsLower type trait.
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
ReturnType operator()(size_t i, size_t j) const
2D-access to the matrix elements.
Definition: DMatTDMatAddExpr.h:215
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
bool canAlias(const T *alias) const noexcept
Returns whether the expression can alias with the given address alias.
Definition: DMatTDMatAddExpr.h:288
#define BLAZE_CONSTRAINT_MUST_FORM_VALID_MATMATADDEXPR(T1, T2)
Constraint on the data type.In case the given data types T1 and T2 do not form a valid matrix/matrix ...
Definition: MatMatAddExpr.h:107
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.
OppositeType_< ResultType > OppositeType
Result type with opposite storage order for expression template evaluations.
Definition: DMatTDMatAddExpr.h:168
Compile time check for lower unitriangular matrices.This type trait tests whether or not the given te...
Definition: IsUniLower.h:86
const ResultType CompositeType
Data type for composite expression templates.
Definition: DMatTDMatAddExpr.h:176
ResultType_< MT1 > RT1
Result type of the left-hand side dense matrix expression.
Definition: DMatTDMatAddExpr.h:109
#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
LeftOperand lhs_
Left-hand side dense matrix of the addition expression.
Definition: DMatTDMatAddExpr.h:329
If_< IsExpression< MT2 >, const MT2, const MT2 &> RightOperand
Composite type of the right-hand side dense matrix expression.
Definition: DMatTDMatAddExpr.h:182
Header file for run time assertion macros.
Header file for the addition trait.
RightOperand rhs_
Right-hand side dense matrix of the addition expression.
Definition: DMatTDMatAddExpr.h:330
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
Constraint on the data type.
#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
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
Header file for the MatMatAddExpr base class.
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
size_t rows() const noexcept
Returns the current number of rows of the matrix.
Definition: DMatTDMatAddExpr.h:246
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
ResultType_< MT2 > RT2
Result type of the right-hand side dense matrix expression.
Definition: DMatTDMatAddExpr.h:110
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
bool isAligned() const noexcept
Returns whether the operands of the expression are properly aligned in memory.
Definition: DMatTDMatAddExpr.h:311
Compile time evaluation of the size of vectors and matrices.The Size type trait evaluates the size of...
Definition: Size.h:80
TransposeType_< ResultType > TransposeType
Transpose type for expression template evaluations.
Definition: DMatTDMatAddExpr.h:169
Compile time logical 'and' evaluation.The And alias declaration performs at compile time a logical 'a...
Definition: And.h:76
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.
ReturnType_< MT1 > RN1
Return type of the left-hand side dense matrix expression.
Definition: DMatTDMatAddExpr.h:111
AddExprTrait_< RN1, RN2 > ExprReturnType
Expression return type for the subscript operator.
Definition: DMatTDMatAddExpr.h:127
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.
typename AddTrait< T1, T2 >::Type AddTrait_
Auxiliary alias declaration for the AddTrait class template.The AddTrait_ alias declaration provides ...
Definition: AddTrait.h:291
#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
Header file for the IsExpression type trait class.
Header file for the function trace functionality.
Expression object for dense matrix-transpose dense matrix additions.The DMatTDMatAddExpr class repres...
Definition: DMatTDMatAddExpr.h:103