35 #ifndef _BLAZE_MATH_EXPRESSIONS_DMATTDMATSUBEXPR_H_ 36 #define _BLAZE_MATH_EXPRESSIONS_DMATTDMATSUBEXPR_H_ 104 template<
typename MT1
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 };
233 inline ReturnType
at(
size_t i,
size_t j )
const {
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_DMATTDMATSUB_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 subAssign( ~lhs, rhs.
rhs_ );
408 assign ( ~lhs, rhs.
lhs_ );
409 subAssign( ~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
521 addAssign( ~lhs, rhs.
lhs_ );
522 subAssign( ~lhs, rhs.
rhs_ );
546 template<
typename MT
556 constexpr
size_t block( BLOCK_SIZE );
558 const size_t m( rhs.
rows() );
559 const size_t n( rhs.
columns() );
561 for(
size_t ii=0UL; ii<m; ii+=block ) {
562 const size_t iend( ( m < ii+block )?( m ):( ii+block ) );
563 for(
size_t jj=0UL; jj<n; jj+=block ) {
564 const size_t jend( ( n < jj+block )?( n ):( jj+block ) );
565 for(
size_t i=ii; i<iend; ++i ) {
566 for(
size_t j=jj; j<jend; ++j ) {
567 (~lhs)(i,j) -= rhs.
lhs_(i,j) - rhs.
rhs_(i,j);
591 template<
typename MT
601 subAssign( ~lhs, rhs.
lhs_ );
602 addAssign( ~lhs, rhs.
rhs_ );
633 template<
typename MT
668 template<
typename MT
687 const TmpType tmp( rhs );
708 template<
typename MT
743 template<
typename MT
820 template<
typename T1
866 template<
typename T1
868 inline EnableIf_< And< Not< IsSymmetric<T1> >, Not< IsSymmetric<T2> > >
905 template<
typename T1
916 return trans( ~lhs ) - ~rhs;
936 template<
typename T1
947 return (~lhs) -
trans( ~rhs );
967 template<
typename T1
978 return (~lhs) -
trans( ~rhs );
998 template<
typename T1
1009 return trans( ~lhs ) - (~rhs);
1025 template<
typename MT1,
typename MT2 >
1026 struct Rows< DMatTDMatSubExpr<MT1,MT2> >
1027 :
public Max< Rows<MT1>, Rows<MT2> >
1043 template<
typename MT1,
typename MT2 >
1044 struct Columns< DMatTDMatSubExpr<MT1,MT2> >
1045 :
public Max< Columns<MT1>, Columns<MT2> >
1061 template<
typename MT1,
typename MT2 >
1062 struct IsAligned< DMatTDMatSubExpr<MT1,MT2> >
1063 :
public BoolConstant< And< IsAligned<MT1>, IsAligned<MT2> >::value >
1079 template<
typename MT1,
typename MT2 >
1081 :
public BoolConstant< IsSymmetric<MT1>::value && IsSymmetric<MT2>::value >
1097 template<
typename MT1,
typename MT2 >
1099 :
public BoolConstant< IsHermitian<MT1>::value && IsHermitian<MT2>::value >
1115 template<
typename MT1,
typename MT2 >
1116 struct IsLower< DMatTDMatSubExpr<MT1,MT2> >
1117 :
public BoolConstant< And< IsLower<MT1>, IsLower<MT2> >::value >
1133 template<
typename MT1,
typename MT2 >
1134 struct IsUniLower< DMatTDMatSubExpr<MT1,MT2> >
1135 :
public BoolConstant< And< IsUniLower<MT1>, IsStrictlyLower<MT2> >::value >
1151 template<
typename MT1,
typename MT2 >
1153 :
public BoolConstant< And< IsStrictlyLower<MT1>, IsStrictlyLower<MT2> >::value >
1169 template<
typename MT1,
typename MT2 >
1170 struct IsUpper< DMatTDMatSubExpr<MT1,MT2> >
1171 :
public BoolConstant< And< IsUpper<MT1>, IsUpper<MT2> >::value >
1187 template<
typename MT1,
typename MT2 >
1188 struct IsUniUpper< DMatTDMatSubExpr<MT1,MT2> >
1189 :
public BoolConstant< And< IsUniUpper<MT1>, IsStrictlyUpper<MT2> >::value >
1205 template<
typename MT1,
typename MT2 >
1207 :
public BoolConstant< And< IsStrictlyUpper<MT1>, IsStrictlyUpper<MT2> >::value >
1223 template<
typename MT1,
typename MT2,
bool AF >
1238 template<
typename MT1,
typename MT2 >
1253 template<
typename MT1,
typename MT2 >
typename SubmatrixExprTrait< MT, AF >::Type SubmatrixExprTrait_
Auxiliary alias declaration for the SubmatrixExprTrait type trait.The SubmatrixExprTrait_ alias decla...
Definition: SubmatrixExprTrait.h:134
bool canAlias(const T *alias) const noexcept
Returns whether the expression can alias with the given address alias.
Definition: DMatTDMatSubExpr.h:291
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:279
Header file for auxiliary alias declarations.
Header file for the Max class template.
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:233
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 IsUniUpper type trait.
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:721
Header file for basic type definitions.
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:160
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
Header file for the ColumnExprTrait class template.
const IfTrue_< returnExpr, ExprReturnType, ElementType > ReturnType
Return type for expression template evaluations.
Definition: DMatTDMatSubExpr.h:176
typename DisableIf< Condition, T >::Type DisableIf_
Auxiliary type for the DisableIf class template.The DisableIf_ alias declaration provides a convenien...
Definition: DisableIf.h:223
Header file for the And class template.
Compile time check for lower triangular matrices.This type trait tests whether or not the given templ...
Definition: IsLower.h:88
LeftOperand lhs_
Left-hand side dense matrix of the subtraction expression.
Definition: DMatTDMatSubExpr.h:332
const DMatSerialExpr< MT, SO > serial(const DenseMatrix< MT, SO > &dm)
Forces the serial evaluation of the given dense matrix expression dm.
Definition: DMatSerialExpr.h:721
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
const DenseIterator< Type, AF > operator-(const DenseIterator< Type, AF > &it, ptrdiff_t inc) noexcept
Subtraction between a DenseIterator and an integral value.
Definition: DenseIterator.h:731
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:323
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:129
Base class for dense matrices.The DenseMatrix class is a base class for all dense matrix classes...
Definition: DenseMatrix.h:71
Base class for sparse matrices.The SparseMatrix class is a base class for all sparse matrix classes...
Definition: Forward.h:119
Constraint on the data type.
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:343
CompositeType_< MT1 > CT1
Composite type of the left-hand side dense matrix expression.
Definition: DMatTDMatSubExpr.h:116
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:220
Constraint on the data type.
Compile time check to query the requirement to evaluate an expression.Via this type trait it is possi...
Definition: RequiresEvaluation.h:72
LeftOperand leftOperand() const noexcept
Returns the left-hand side dense matrix operand.
Definition: DMatTDMatSubExpr.h:269
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:106
const ResultType CompositeType
Data type for composite expression templates.
Definition: DMatTDMatSubExpr.h:179
Header file for the DisableIf class template.
typename RowExprTrait< MT >::Type RowExprTrait_
Auxiliary alias declaration for the RowExprTrait type trait.The RowExprTrait_ alias declaration provi...
Definition: RowExprTrait.h:134
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:65
Namespace of the Blaze C++ math library.
Definition: Blaze.h:57
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:304
#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:98
OppositeType_< ResultType > OppositeType
Result type with opposite storage order for expression template evaluations.
Definition: DMatTDMatSubExpr.h:171
#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 MatMatSubExpr base class.
Evaluation of the expression type type of a submatrix operation.Via this type trait it is possible to...
Definition: SubmatrixExprTrait.h:80
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:333
typename ColumnExprTrait< MT >::Type ColumnExprTrait_
Auxiliary alias declaration for the ColumnExprTrait type trait.The ColumnExprTrait_ alias declaration...
Definition: ColumnExprTrait.h:133
#define BLAZE_CONSTRAINT_MUST_BE_REFERENCE_TYPE(T)
Constraint on the data type.In case the given data type T is not a reference type, a compilation error is created.
Definition: Reference.h:60
SubExprTrait_< RN1, RN2 > ExprReturnType
Expression return type for the subscript operator.
Definition: DMatTDMatSubExpr.h:130
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
Evaluation of the expression type type of a row operation.Via this type trait it is possible to evalu...
Definition: RowExprTrait.h:79
If_< IsExpression< MT2 >, const MT2, const MT2 &> RightOperand
Composite type of the right-hand side dense matrix expression.
Definition: DMatTDMatSubExpr.h:185
Header file for the RowExprTrait class template.
Header file for all forward declarations for expression class templates.
ReturnType_< MT1 > RN1
Return type of the left-hand side dense matrix expression.
Definition: DMatTDMatSubExpr.h:114
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
ReturnType_< MT2 > RN2
Return type of the right-hand side dense matrix expression.
Definition: DMatTDMatSubExpr.h:115
ElementType_< ResultType > ElementType
Resulting element type.
Definition: DMatTDMatSubExpr.h:173
Header file for the SubmatrixExprTrait class template.
#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:259
Header file for run time assertion macros.
ResultType_< MT1 > RT1
Result type of the left-hand side dense matrix expression.
Definition: DMatTDMatSubExpr.h:112
Compile time value evaluation.The Max class template selects the larger of the two given template arg...
Definition: Max.h:72
DMatTDMatSubExpr(const MT1 &lhs, const MT2 &rhs) noexcept
Constructor for the DMatTDMatSubExpr class.
Definition: DMatTDMatSubExpr.h:202
DMatTDMatSubExpr< MT1, MT2 > This
Type of this DMatTDMatSubExpr instance.
Definition: DMatTDMatSubExpr.h:169
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:160
#define BLAZE_FUNCTION_TRACE
Function trace macro.This macro can be used to reliably trace function calls. In case function tracin...
Definition: FunctionTrace.h:93
Compile time type negation.The Not class template negates the given compile time condition. In case the given condition would evaluate to true, the nested member enumeration is set to false and vice versa:
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.
bool isAligned() const noexcept
Returns whether the operands of the expression are properly aligned in memory.
Definition: DMatTDMatSubExpr.h:314
size_t rows() const noexcept
Returns the current number of rows of the matrix.
Definition: DMatTDMatSubExpr.h:249
typename EnableIf< Condition, T >::Type EnableIf_
Auxiliary alias declaration for the EnableIf class template.The EnableIf_ alias declaration provides ...
Definition: EnableIf.h:223
typename T::OppositeType OppositeType_
Alias declaration for nested OppositeType type definitions.The OppositeType_ alias declaration provid...
Definition: Aliases.h:243
#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
ResultType_< MT2 > RT2
Result type of the right-hand side dense matrix expression.
Definition: DMatTDMatSubExpr.h:113
If_< IsExpression< MT1 >, const MT1, const MT1 &> LeftOperand
Composite type of the left-hand side dense matrix expression.
Definition: DMatTDMatSubExpr.h:182
Compile time check for strictly lower triangular matrices.This type trait tests whether or not the gi...
Definition: IsStrictlyLower.h:86
SubTrait_< RT1, RT2 > ResultType
Result type for expression template evaluations.
Definition: DMatTDMatSubExpr.h:170
const DMatTransExpr< MT,!SO > trans(const DenseMatrix< MT, SO > &dm)
Calculation of the transpose of the given dense matrix.
Definition: DMatTransExpr.h:733
Base class for all compute expression templates.The Computation class serves as a tag for all computa...
Definition: Computation.h:59
typename SubTrait< T1, T2 >::Type SubTrait_
Auxiliary alias declaration for the SubTrait class template.The SubTrait_ alias declaration provides ...
Definition: SubTrait.h:245
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:76
Compile time evaluation of the number of rows of a matrix.The Rows type trait evaluates the number of...
Definition: Rows.h:76
bool canSMPAssign() const noexcept
Returns whether the expression can be used in SMP assignments.
Definition: DMatTDMatSubExpr.h:324
#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:109
ReturnType operator()(size_t i, size_t j) const
2D-access to the matrix elements.
Definition: DMatTDMatSubExpr.h:218
typename T::TransposeType TransposeType_
Alias declaration for nested TransposeType type definitions.The TransposeType_ alias declaration prov...
Definition: Aliases.h:403
Header file for the IsUpper type trait.
TransposeType_< ResultType > TransposeType
Transpose type for expression template evaluations.
Definition: DMatTDMatSubExpr.h:172
CompositeType_< MT2 > CT2
Composite type of the right-hand side dense matrix expression.
Definition: DMatTDMatSubExpr.h:117
Header file for the IsHermitian type trait.
Header file for the SubExprTrait class template.
Header file for the thresholds for matrix/vector and matrix/matrix multiplications.
Evaluation of the expression type type of a column operation.Via this type trait it is possible to ev...
Definition: ColumnExprTrait.h:78
#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:71
Header file for the IsExpression type trait class.
Header file for the function trace functionality.