35 #ifndef _BLAZE_MATH_EXPRESSIONS_DMATTDMATSUBEXPR_H_ 36 #define _BLAZE_MATH_EXPRESSIONS_DMATTDMATSUBEXPR_H_ 100 template<
typename MT1
103 :
public MatMatSubExpr< DenseMatrix< DMatTDMatSubExpr<MT1,MT2>, false > >
140 template<
typename MT >
143 enum :
bool { value = useAssign };
156 template<
typename MT >
157 struct UseSMPAssign {
158 enum :
bool { value = ( !MT1::smpAssignable || !MT2::smpAssignable ) && useAssign };
186 enum :
bool { simdEnabled =
false };
189 enum :
bool { smpAssignable = MT1::smpAssignable && MT2::smpAssignable };
230 if( i >=
lhs_.rows() ) {
233 if( j >=
lhs_.columns() ) {
245 inline size_t rows() const noexcept {
256 return lhs_.columns();
286 template<
typename T >
287 inline bool canAlias(
const T* alias )
const noexcept {
299 template<
typename T >
300 inline bool isAliased(
const T* alias )
const noexcept {
301 return (
lhs_.isAliased( alias ) ||
rhs_.isAliased( alias ) );
311 return lhs_.isAligned() &&
rhs_.isAligned();
321 return lhs_.canSMPAssign() ||
rhs_.canSMPAssign() ||
322 (
rows() *
columns() >= SMP_DMATTDMATSUB_THRESHOLD );
346 template<
typename MT
356 constexpr
size_t block( BLOCK_SIZE );
358 const size_t m( rhs.
rows() );
359 const size_t n( rhs.
columns() );
361 for(
size_t ii=0UL; ii<m; ii+=block ) {
362 const size_t iend( ( m < ii+block )?( m ):( ii+block ) );
363 for(
size_t jj=0UL; jj<n; jj+=block ) {
364 const size_t jend( ( n < jj+block )?( n ):( jj+block ) );
365 for(
size_t i=ii; i<iend; ++i ) {
366 for(
size_t j=jj; j<jend; ++j ) {
367 (~lhs)(i,j) = rhs.
lhs_(i,j) - rhs.
rhs_(i,j);
390 template<
typename MT
401 subAssign( ~lhs, rhs.
rhs_ );
404 assign ( ~lhs, rhs.
lhs_ );
405 subAssign( ~lhs, rhs.
rhs_ );
423 template<
typename MT
441 const TmpType tmp(
serial( rhs ) );
462 template<
typename MT
472 constexpr
size_t block( BLOCK_SIZE );
474 const size_t m( rhs.
rows() );
475 const size_t n( rhs.
columns() );
477 for(
size_t ii=0UL; ii<m; ii+=block ) {
478 const size_t iend( ( m < ii+block )?( m ):( ii+block ) );
479 for(
size_t jj=0UL; jj<n; jj+=block ) {
480 const size_t jend( ( n < jj+block )?( n ):( jj+block ) );
481 for(
size_t i=ii; i<iend; ++i ) {
482 for(
size_t j=jj; j<jend; ++j ) {
483 (~lhs)(i,j) += rhs.
lhs_(i,j) - rhs.
rhs_(i,j);
507 template<
typename MT
517 addAssign( ~lhs, rhs.
lhs_ );
518 subAssign( ~lhs, rhs.
rhs_ );
542 template<
typename MT
552 constexpr
size_t block( BLOCK_SIZE );
554 const size_t m( rhs.
rows() );
555 const size_t n( rhs.
columns() );
557 for(
size_t ii=0UL; ii<m; ii+=block ) {
558 const size_t iend( ( m < ii+block )?( m ):( ii+block ) );
559 for(
size_t jj=0UL; jj<n; jj+=block ) {
560 const size_t jend( ( n < jj+block )?( n ):( jj+block ) );
561 for(
size_t i=ii; i<iend; ++i ) {
562 for(
size_t j=jj; j<jend; ++j ) {
563 (~lhs)(i,j) -= rhs.
lhs_(i,j) - rhs.
rhs_(i,j);
587 template<
typename MT
597 subAssign( ~lhs, rhs.
lhs_ );
598 addAssign( ~lhs, rhs.
rhs_ );
622 template<
typename MT
637 schurAssign( ~lhs, tmp );
668 template<
typename MT
703 template<
typename MT
722 const TmpType tmp( rhs );
743 template<
typename MT
778 template<
typename MT
813 template<
typename MT
878 template<
typename MT1
908 template<
typename MT1
910 inline decltype(
auto)
919 return trans( ~lhs ) - ~rhs;
938 template<
typename MT1
940 inline decltype(
auto)
949 return (~lhs) -
trans( ~rhs );
984 template<
typename MT1
986 inline decltype(
auto)
995 return dmattdmatsub( ~lhs, ~rhs );
1013 template<
typename MT1
1043 template<
typename MT1
1045 inline decltype(
auto)
1054 return (~lhs) -
trans( ~rhs );
1073 template<
typename MT1
1075 inline decltype(
auto)
1084 return trans( ~lhs ) - (~rhs);
1119 template<
typename MT1
1121 inline decltype(
auto)
1130 return tdmatdmatsub( ~lhs, ~rhs );
1145 template<
typename MT1,
typename MT2 >
1146 struct Size< DMatTDMatSubExpr<MT1,MT2>, 0UL >
1147 :
public Maximum< Size<MT1,0UL>, Size<MT2,0UL> >
1150 template<
typename MT1,
typename MT2 >
1151 struct Size< DMatTDMatSubExpr<MT1,MT2>, 1UL >
1152 :
public Maximum< Size<MT1,1UL>, Size<MT2,1UL> >
1168 template<
typename MT1,
typename MT2 >
1169 struct IsAligned< DMatTDMatSubExpr<MT1,MT2> >
1170 :
public And< IsAligned<MT1>, IsAligned<MT2> >
1186 template<
typename MT1,
typename MT2 >
1188 :
public And< IsSymmetric<MT1>, IsSymmetric<MT2> >
1204 template<
typename MT1,
typename MT2 >
1206 :
public And< IsHermitian<MT1>, IsHermitian<MT2> >
1222 template<
typename MT1,
typename MT2 >
1223 struct IsLower< DMatTDMatSubExpr<MT1,MT2> >
1224 :
public And< IsLower<MT1>, IsLower<MT2> >
1240 template<
typename MT1,
typename MT2 >
1241 struct IsUniLower< DMatTDMatSubExpr<MT1,MT2> >
1242 :
public And< IsUniLower<MT1>, IsStrictlyLower<MT2> >
1258 template<
typename MT1,
typename MT2 >
1260 :
public And< IsStrictlyLower<MT1>, IsStrictlyLower<MT2> >
1276 template<
typename MT1,
typename MT2 >
1277 struct IsUpper< DMatTDMatSubExpr<MT1,MT2> >
1278 :
public And< IsUpper<MT1>, IsUpper<MT2> >
1294 template<
typename MT1,
typename MT2 >
1295 struct IsUniUpper< DMatTDMatSubExpr<MT1,MT2> >
1296 :
public And< IsUniUpper<MT1>, IsStrictlyUpper<MT2> >
1312 template<
typename MT1,
typename MT2 >
1314 :
public And< IsStrictlyUpper<MT1>, IsStrictlyUpper<MT2> >
bool canAlias(const T *alias) const noexcept
Returns whether the expression can alias with the given address alias.
Definition: DMatTDMatSubExpr.h:287
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
RightOperand rightOperand() const noexcept
Returns the right-hand side transpose dense matrix operand.
Definition: DMatTDMatSubExpr.h:275
Header file for auxiliary alias declarations.
Header file for kernel specific block sizes.
ReturnType at(size_t i, size_t j) const
Checked access to the matrix elements.
Definition: DMatTDMatSubExpr.h:229
const ResultType CompositeType
Data type for composite expression templates.
Definition: DMatTDMatSubExpr.h:175
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.
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.
SubExprTrait_< RN1, RN2 > ExprReturnType
Expression return type for the subscript operator.
Definition: DMatTDMatSubExpr.h:126
#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 dense matrix expression.
Definition: DMatTDMatSubExpr.h:108
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
If_< IsExpression< MT1 >, const MT1, const MT1 &> LeftOperand
Composite type of the left-hand side dense matrix expression.
Definition: DMatTDMatSubExpr.h:178
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 dense matrix of the subtraction expression.
Definition: DMatTDMatSubExpr.h:328
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
ReturnType_< MT2 > RN2
Return type of the right-hand side dense matrix expression.
Definition: DMatTDMatSubExpr.h:111
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 dense matrix expression.
Definition: DMatTDMatSubExpr.h:110
Compile time check for the alignment of data types.This type trait tests whether the given data type ...
Definition: IsAligned.h:87
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.
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
LeftOperand leftOperand() const noexcept
Returns the left-hand side dense matrix operand.
Definition: DMatTDMatSubExpr.h:265
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
Expression object for dense matrix-transpose dense matrix subtractions.The DMatTDMatSubExpr class rep...
Definition: DMatTDMatSubExpr.h:102
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.
Base class for all matrix/matrix subtraction expression templates.The MatMatSubExpr class serves as a...
Definition: MatMatSubExpr.h:67
Namespace of the Blaze C++ math library.
Definition: Blaze.h:58
Header file for the If class template.
bool isAliased(const T *alias) const noexcept
Returns whether the expression is aliased with the given address alias.
Definition: DMatTDMatSubExpr.h:300
#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
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
TransposeType_< ResultType > TransposeType
Transpose type for expression template evaluations.
Definition: DMatTDMatSubExpr.h:168
#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 MatMatSubExpr base class.
Header file for the IsOperation type trait class.
Header file for the IsLower type trait.
Header file for the IsAligned type trait.
RightOperand rhs_
Right-hand side dense matrix of the subtraction expression.
Definition: DMatTDMatSubExpr.h:329
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.
OppositeType_< ResultType > OppositeType
Result type with opposite storage order for expression template evaluations.
Definition: DMatTDMatSubExpr.h:167
Header file for the EnableIf class template.
Header file for the IsStrictlyLower type trait.
#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
SubTrait_< RT1, RT2 > ResultType
Result type for expression template evaluations.
Definition: DMatTDMatSubExpr.h:166
#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
size_t columns() const noexcept
Returns the current number of columns of the matrix.
Definition: DMatTDMatSubExpr.h:255
CompositeType_< MT2 > CT2
Composite type of the right-hand side dense matrix expression.
Definition: DMatTDMatSubExpr.h:113
If_< IsExpression< MT2 >, const MT2, const MT2 &> RightOperand
Composite type of the right-hand side dense matrix expression.
Definition: DMatTDMatSubExpr.h:181
Header file for run time assertion macros.
DMatTDMatSubExpr(const MT1 &lhs, const MT2 &rhs) noexcept
Constructor for the DMatTDMatSubExpr class.
Definition: DMatTDMatSubExpr.h:198
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
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 isAligned() const noexcept
Returns whether the operands of the expression are properly aligned in memory.
Definition: DMatTDMatSubExpr.h:310
size_t rows() const noexcept
Returns the current number of rows of the matrix.
Definition: DMatTDMatSubExpr.h:245
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
CompositeType_< MT1 > CT1
Composite type of the left-hand side dense matrix expression.
Definition: DMatTDMatSubExpr.h:112
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
ElementType_< ResultType > ElementType
Resulting element type.
Definition: DMatTDMatSubExpr.h:169
Base class for all compute expression templates.The Computation class serves as a tag for all computa...
Definition: Computation.h:66
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
bool canSMPAssign() const noexcept
Returns whether the expression can be used in SMP assignments.
Definition: DMatTDMatSubExpr.h:320
Compile time logical 'and' evaluation.The And alias declaration performs at compile time a logical 'a...
Definition: And.h:76
#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
ReturnType operator()(size_t i, size_t j) const
2D-access to the matrix elements.
Definition: DMatTDMatSubExpr.h:214
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.
ResultType_< MT2 > RT2
Result type of the right-hand side dense matrix expression.
Definition: DMatTDMatSubExpr.h:109
Header file for the IsHermitian type trait.
Header file for the SubExprTrait class template.
const IfTrue_< returnExpr, ExprReturnType, ElementType > ReturnType
Return type for expression template evaluations.
Definition: DMatTDMatSubExpr.h:172
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
Header file for the IsExpression type trait class.
Header file for the function trace functionality.