35 #ifndef _BLAZE_MATH_EXPRESSIONS_DMATTDMATSUBEXPR_H_ 36 #define _BLAZE_MATH_EXPRESSIONS_DMATTDMATSUBEXPR_H_ 102 template<
typename MT1
105 :
public MatMatSubExpr< DenseMatrix< DMatTDMatSubExpr<MT1,MT2>, false > >
142 template<
typename MT >
145 enum :
bool { value = useAssign };
158 template<
typename MT >
159 struct UseSMPAssign {
160 enum :
bool { value = ( !MT1::smpAssignable || !MT2::smpAssignable ) && useAssign };
188 enum :
bool { simdEnabled =
false };
191 enum :
bool { smpAssignable = MT1::smpAssignable && MT2::smpAssignable };
232 if( i >=
lhs_.rows() ) {
235 if( j >=
lhs_.columns() ) {
247 inline size_t rows() const noexcept {
258 return lhs_.columns();
288 template<
typename T >
289 inline bool canAlias(
const T* alias )
const noexcept {
301 template<
typename T >
302 inline bool isAliased(
const T* alias )
const noexcept {
303 return (
lhs_.isAliased( alias ) ||
rhs_.isAliased( alias ) );
313 return lhs_.isAligned() &&
rhs_.isAligned();
323 return lhs_.canSMPAssign() ||
rhs_.canSMPAssign() ||
324 (
rows() *
columns() >= SMP_DMATTDMATSUB_THRESHOLD );
348 template<
typename MT
358 constexpr
size_t block( BLOCK_SIZE );
360 const size_t m( rhs.
rows() );
361 const size_t n( rhs.
columns() );
363 for(
size_t ii=0UL; ii<m; ii+=block ) {
364 const size_t iend( ( m < ii+block )?( m ):( ii+block ) );
365 for(
size_t jj=0UL; jj<n; jj+=block ) {
366 const size_t jend( ( n < jj+block )?( n ):( jj+block ) );
367 for(
size_t i=ii; i<iend; ++i ) {
368 for(
size_t j=jj; j<jend; ++j ) {
369 (~lhs)(i,j) = rhs.
lhs_(i,j) - rhs.
rhs_(i,j);
392 template<
typename MT
403 subAssign( ~lhs, rhs.
rhs_ );
406 assign ( ~lhs, rhs.
lhs_ );
407 subAssign( ~lhs, rhs.
rhs_ );
425 template<
typename MT
443 const TmpType tmp(
serial( rhs ) );
464 template<
typename MT
474 constexpr
size_t block( BLOCK_SIZE );
476 const size_t m( rhs.
rows() );
477 const size_t n( rhs.
columns() );
479 for(
size_t ii=0UL; ii<m; ii+=block ) {
480 const size_t iend( ( m < ii+block )?( m ):( ii+block ) );
481 for(
size_t jj=0UL; jj<n; jj+=block ) {
482 const size_t jend( ( n < jj+block )?( n ):( jj+block ) );
483 for(
size_t i=ii; i<iend; ++i ) {
484 for(
size_t j=jj; j<jend; ++j ) {
485 (~lhs)(i,j) += rhs.
lhs_(i,j) - rhs.
rhs_(i,j);
509 template<
typename MT
519 addAssign( ~lhs, rhs.
lhs_ );
520 subAssign( ~lhs, rhs.
rhs_ );
544 template<
typename MT
554 constexpr
size_t block( BLOCK_SIZE );
556 const size_t m( rhs.
rows() );
557 const size_t n( rhs.
columns() );
559 for(
size_t ii=0UL; ii<m; ii+=block ) {
560 const size_t iend( ( m < ii+block )?( m ):( ii+block ) );
561 for(
size_t jj=0UL; jj<n; jj+=block ) {
562 const size_t jend( ( n < jj+block )?( n ):( jj+block ) );
563 for(
size_t i=ii; i<iend; ++i ) {
564 for(
size_t j=jj; j<jend; ++j ) {
565 (~lhs)(i,j) -= rhs.
lhs_(i,j) - rhs.
rhs_(i,j);
589 template<
typename MT
599 subAssign( ~lhs, rhs.
lhs_ );
600 addAssign( ~lhs, rhs.
rhs_ );
624 template<
typename MT
639 schurAssign( ~lhs, tmp );
670 template<
typename MT
705 template<
typename MT
724 const TmpType tmp( rhs );
745 template<
typename MT
780 template<
typename MT
815 template<
typename MT
880 template<
typename MT1
910 template<
typename MT1
912 inline decltype(
auto)
921 return trans( ~lhs ) - ~rhs;
940 template<
typename MT1
942 inline decltype(
auto)
951 return (~lhs) -
trans( ~rhs );
986 template<
typename MT1
988 inline decltype(
auto)
997 return dmattdmatsub( ~lhs, ~rhs );
1015 template<
typename MT1
1045 template<
typename MT1
1047 inline decltype(
auto)
1056 return (~lhs) -
trans( ~rhs );
1075 template<
typename MT1
1077 inline decltype(
auto)
1086 return trans( ~lhs ) - (~rhs);
1121 template<
typename MT1
1123 inline decltype(
auto)
1132 return tdmatdmatsub( ~lhs, ~rhs );
1147 template<
typename MT1,
typename MT2 >
1148 struct Rows< DMatTDMatSubExpr<MT1,MT2> >
1149 :
public Maximum< Rows<MT1>, Rows<MT2> >
1165 template<
typename MT1,
typename MT2 >
1166 struct Columns< DMatTDMatSubExpr<MT1,MT2> >
1167 :
public Maximum< Columns<MT1>, Columns<MT2> >
1183 template<
typename MT1,
typename MT2 >
1184 struct IsAligned< DMatTDMatSubExpr<MT1,MT2> >
1185 :
public BoolConstant< And< IsAligned<MT1>, IsAligned<MT2> >::value >
1201 template<
typename MT1,
typename MT2 >
1203 :
public BoolConstant< IsSymmetric<MT1>::value && IsSymmetric<MT2>::value >
1219 template<
typename MT1,
typename MT2 >
1221 :
public BoolConstant< IsHermitian<MT1>::value && IsHermitian<MT2>::value >
1237 template<
typename MT1,
typename MT2 >
1238 struct IsLower< DMatTDMatSubExpr<MT1,MT2> >
1239 :
public BoolConstant< And< IsLower<MT1>, IsLower<MT2> >::value >
1255 template<
typename MT1,
typename MT2 >
1256 struct IsUniLower< DMatTDMatSubExpr<MT1,MT2> >
1257 :
public BoolConstant< And< IsUniLower<MT1>, IsStrictlyLower<MT2> >::value >
1273 template<
typename MT1,
typename MT2 >
1275 :
public BoolConstant< And< IsStrictlyLower<MT1>, IsStrictlyLower<MT2> >::value >
1291 template<
typename MT1,
typename MT2 >
1292 struct IsUpper< DMatTDMatSubExpr<MT1,MT2> >
1293 :
public BoolConstant< And< IsUpper<MT1>, IsUpper<MT2> >::value >
1309 template<
typename MT1,
typename MT2 >
1310 struct IsUniUpper< DMatTDMatSubExpr<MT1,MT2> >
1311 :
public BoolConstant< And< IsUniUpper<MT1>, IsStrictlyUpper<MT2> >::value >
1327 template<
typename MT1,
typename MT2 >
1329 :
public BoolConstant< And< IsStrictlyUpper<MT1>, IsStrictlyUpper<MT2> >::value >
bool canAlias(const T *alias) const noexcept
Returns whether the expression can alias with the given address alias.
Definition: DMatTDMatSubExpr.h:289
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:277
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:231
const ResultType CompositeType
Data type for composite expression templates.
Definition: DMatTDMatSubExpr.h:177
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.
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: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.
SubExprTrait_< RN1, RN2 > ExprReturnType
Expression return type for the subscript operator.
Definition: DMatTDMatSubExpr.h:128
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
ResultType_< MT1 > RT1
Result type of the left-hand side dense matrix expression.
Definition: DMatTDMatSubExpr.h:110
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:180
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:330
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
ReturnType_< MT2 > RN2
Return type of the right-hand side dense matrix expression.
Definition: DMatTDMatSubExpr.h:113
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
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:112
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:72
LeftOperand leftOperand() const noexcept
Returns the left-hand side dense matrix operand.
Definition: DMatTDMatSubExpr.h:267
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:104
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: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:302
#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:170
#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.
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:331
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:169
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:168
#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:257
CompositeType_< MT2 > CT2
Composite type of the right-hand side dense matrix expression.
Definition: DMatTDMatSubExpr.h:115
If_< IsExpression< MT2 >, const MT2, const MT2 &> RightOperand
Composite type of the right-hand side dense matrix expression.
Definition: DMatTDMatSubExpr.h:183
Header file for run time assertion macros.
DMatTDMatSubExpr(const MT1 &lhs, const MT2 &rhs) noexcept
Constructor for the DMatTDMatSubExpr class.
Definition: DMatTDMatSubExpr.h:200
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: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 isAligned() const noexcept
Returns whether the operands of the expression are properly aligned in memory.
Definition: DMatTDMatSubExpr.h:312
size_t rows() const noexcept
Returns the current number of rows of the matrix.
Definition: DMatTDMatSubExpr.h:247
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:114
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
ElementType_< ResultType > ElementType
Resulting element type.
Definition: DMatTDMatSubExpr.h:171
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:250
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
Compile time evaluation of the number of rows of a matrix.The Rows type trait evaluates the number of...
Definition: Rows.h:75
bool canSMPAssign() const noexcept
Returns whether the expression can be used in SMP assignments.
Definition: DMatTDMatSubExpr.h:322
Compile time logical and evaluation.The And alias declaration performs at compile time a logical and ...
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:108
ReturnType operator()(size_t i, size_t j) const
2D-access to the matrix elements.
Definition: DMatTDMatSubExpr.h:216
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:111
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:174
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.