35 #ifndef _BLAZE_MATH_EXPRESSIONS_TSMATTSMATSUBEXPR_H_ 36 #define _BLAZE_MATH_EXPRESSIONS_TSMATTSMATSUBEXPR_H_ 102 template<
typename MT1
104 class TSMatTSMatSubExpr :
public SparseMatrix< TSMatTSMatSubExpr<MT1,MT2>, true >
105 ,
private MatMatSubExpr
106 ,
private Computation
138 template<
typename T1,
typename T2,
typename T3 >
139 struct UseSymmetricKernel {
153 template<
typename MT >
154 struct UseSMPAssign {
155 enum :
bool { value = MT::smpAssignable };
183 enum :
bool { smpAssignable =
false };
223 inline ReturnType
at(
size_t i,
size_t j )
const {
224 if( i >=
lhs_.rows() ) {
227 if( j >=
lhs_.columns() ) {
239 inline size_t rows() const noexcept {
250 return lhs_.columns();
260 return lhs_.nonZeros() +
rhs_.nonZeros();
271 return lhs_.nonZeros(i) +
rhs_.nonZeros(i);
301 template<
typename T >
302 inline bool canAlias(
const T* alias )
const noexcept {
303 return (
lhs_.canAlias( alias ) ||
rhs_.canAlias( alias ) );
313 template<
typename T >
314 inline bool isAliased(
const T* alias )
const noexcept {
315 return (
lhs_.isAliased( alias ) ||
rhs_.isAliased( alias ) );
338 template<
typename MT
349 assign( ~lhs, rhs.lhs_ );
352 subAssign( ~lhs, rhs.rhs_ );
356 CT2 B(
serial( rhs.rhs_ ) );
363 for(
size_t j=0UL; j<(~lhs).
columns(); ++j ) {
364 const RightIterator
end( B.end(j) );
365 for( RightIterator element=B.begin(j); element!=
end; ++element ) {
366 if(
isDefault( (~lhs)(element->index(),j) ) )
367 (~lhs)(element->index(),j) = -element->value();
369 (~lhs)(element->index(),j) -= element->value();
390 template<
typename MT >
404 CT1 A(
serial( rhs.lhs_ ) );
405 CT2 B(
serial( rhs.rhs_ ) );
414 const size_t m( rhs.rows() );
415 const size_t n( rhs.columns() );
418 std::vector<size_t> nonzeros( m, 0UL );
419 for(
size_t j=0UL; j<n; ++j )
421 const LeftIterator lend( A.end(j) );
422 const RightIterator rend( B.end(j) );
424 LeftIterator l( A.begin(j) );
425 RightIterator r( B.begin(j) );
427 while( l != lend && r != rend )
429 if( l->index() < r->index() ) {
430 ++nonzeros[l->index()];
433 else if( l->index() > r->index() ) {
434 ++nonzeros[r->index()];
438 ++nonzeros[l->index()];
445 ++nonzeros[l->index()];
450 ++nonzeros[r->index()];
456 for(
size_t i=0UL; i<m; ++i ) {
457 (~lhs).reserve( i, nonzeros[i] );
461 for(
size_t j=0UL; j<n; ++j )
463 const LeftIterator lend( A.end(j) );
464 const RightIterator rend( B.end(j) );
466 LeftIterator l( A.begin(j) );
467 RightIterator r( B.begin(j) );
469 while( l != lend && r != rend )
471 if( l->index() < r->index() ) {
472 (~lhs).append( l->index(), j, l->value() );
475 else if( l->index() > r->index() ) {
476 (~lhs).append( r->index(), j, -r->value() );
480 (~lhs).append( l->index(), j, l->value()-r->value() );
487 (~lhs).append( l->index(), j, l->value() );
492 (~lhs).append( r->index(), j, -r->value() );
513 template<
typename MT >
524 assign( ~lhs,
trans( rhs.lhs_ ) -
trans( rhs.rhs_ ) );
542 template<
typename MT >
553 CT1 A(
serial( rhs.lhs_ ) );
554 CT2 B(
serial( rhs.rhs_ ) );
564 (~lhs).reserve( A.nonZeros() + B.nonZeros() );
567 for(
size_t j=0UL; j<(~lhs).
columns(); ++j )
569 const LeftIterator lend( A.end(j) );
570 const RightIterator rend( B.end(j) );
572 LeftIterator l( A.begin(j) );
573 RightIterator r( B.begin(j) );
575 while( l != lend && r != rend )
577 if( l->index() < r->index() ) {
578 (~lhs).append( l->index(), j, l->value() );
581 else if( l->index() > r->index() ) {
582 (~lhs).append( r->index(), j, -r->value() );
586 (~lhs).append( l->index(), j, l->value()-r->value() );
593 (~lhs).append( l->index(), j, l->value() );
598 (~lhs).append( r->index(), j, -r->value() );
602 (~lhs).finalize( j );
621 template<
typename MT
630 addAssign( ~lhs, rhs.lhs_ );
631 subAssign( ~lhs, rhs.rhs_ );
653 template<
typename MT
662 subAssign( ~lhs, rhs.lhs_ );
663 addAssign( ~lhs, rhs.rhs_ );
703 template<
typename MT
738 template<
typename MT
814 template<
typename T1
840 template<
typename MT1,
typename MT2 >
841 struct Rows< TSMatTSMatSubExpr<MT1,MT2> >
842 :
public Max< Rows<MT1>, Rows<MT2> >
858 template<
typename MT1,
typename MT2 >
859 struct Columns< TSMatTSMatSubExpr<MT1,MT2> >
860 :
public Max< Columns<MT1>, Columns<MT2> >
876 template<
typename MT1,
typename MT2 >
878 :
public BoolConstant< IsSymmetric<MT1>::value && IsSymmetric<MT2>::value >
894 template<
typename MT1,
typename MT2 >
896 :
public BoolConstant< IsHermitian<MT1>::value && IsHermitian<MT2>::value >
912 template<
typename MT1,
typename MT2 >
913 struct IsLower< TSMatTSMatSubExpr<MT1,MT2> >
914 :
public BoolConstant< And< IsLower<MT1>, IsLower<MT2> >::value >
930 template<
typename MT1,
typename MT2 >
931 struct IsUniLower< TSMatTSMatSubExpr<MT1,MT2> >
932 :
public BoolConstant< And< IsUniLower<MT1>, IsStrictlyLower<MT2> >::value >
948 template<
typename MT1,
typename MT2 >
950 :
public BoolConstant< And< IsStrictlyLower<MT1>, IsStrictlyLower<MT2> >::value >
966 template<
typename MT1,
typename MT2 >
967 struct IsUpper< TSMatTSMatSubExpr<MT1,MT2> >
968 :
public BoolConstant< And< IsUpper<MT1>, IsUpper<MT2> >::value >
984 template<
typename MT1,
typename MT2 >
985 struct IsUniUpper< TSMatTSMatSubExpr<MT1,MT2> >
986 :
public BoolConstant< And< IsUniUpper<MT1>, IsStrictlyUpper<MT2> >::value >
1002 template<
typename MT1,
typename MT2 >
1004 :
public BoolConstant< And< IsStrictlyUpper<MT1>, IsStrictlyUpper<MT2> >::value >
1020 template<
typename MT1,
typename MT2,
bool AF >
1035 template<
typename MT1,
typename MT2 >
1050 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
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
Header file for auxiliary alias declarations.
Header file for the Max class template.
size_t nonZeros(size_t i) const
Returns the number of non-zero elements in the specified row.
Definition: TSMatTSMatSubExpr.h:270
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.
Header file for basic type definitions.
TSMatTSMatSubExpr< MT1, MT2 > This
Type of this TSMatTSMatSubExpr instance.
Definition: TSMatTSMatSubExpr.h:162
ReturnType_< MT2 > RN2
Return type of the right-hand side sparse matrix expression.
Definition: TSMatTSMatSubExpr.h:113
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
const ResultType CompositeType
Data type for composite expression templates.
Definition: TSMatTSMatSubExpr.h:172
Header file for the ColumnExprTrait class template.
ResultType_< MT1 > RT1
Result type of the left-hand side sparse matrix expression.
Definition: TSMatTSMatSubExpr.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: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
ReturnType at(size_t i, size_t j) const
Checked access to the matrix elements.
Definition: TSMatTSMatSubExpr.h:223
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.
ReturnType operator()(size_t i, size_t j) const
2D-access to the matrix elements.
Definition: TSMatTSMatSubExpr.h:208
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.
bool isAliased(const T *alias) const noexcept
Returns whether the expression is aliased with the given address alias.
Definition: TSMatTSMatSubExpr.h:314
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
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
LeftOperand lhs_
Left-hand side sparse matrix of the subtraction expression.
Definition: TSMatTSMatSubExpr.h:321
typename T::ReturnType ReturnType_
Alias declaration for nested ReturnType type definitions.The ReturnType_ alias declaration provides a...
Definition: Aliases.h:343
size_t rows() const noexcept
Returns the current number of rows of the matrix.
Definition: TSMatTSMatSubExpr.h:239
Header file for the SparseMatrix base class.
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.
const IfTrue_< returnExpr, ExprReturnType, ElementType > ReturnType
Return type for expression template evaluations.
Definition: TSMatTSMatSubExpr.h:169
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
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.
Namespace of the Blaze C++ math library.
Definition: Blaze.h:57
SubExprTrait_< RN1, RN2 > ExprReturnType
Expression return type for the subscript operator.
Definition: TSMatTSMatSubExpr.h:128
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
If_< IsExpression< MT2 >, const MT2, const MT2 &> RightOperand
Composite type of the right-hand side sparse matrix expression.
Definition: TSMatTSMatSubExpr.h:178
TSMatTSMatSubExpr(const MT1 &lhs, const MT2 &rhs) noexcept
Constructor for the TSMatTSMatSubExpr class.
Definition: TSMatTSMatSubExpr.h:192
#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 Columns type trait.
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.
typename ColumnExprTrait< MT >::Type ColumnExprTrait_
Auxiliary alias declaration for the ColumnExprTrait type trait.The ColumnExprTrait_ alias declaration...
Definition: ColumnExprTrait.h:133
SubTrait_< RT1, RT2 > ResultType
Result type for expression template evaluations.
Definition: TSMatTSMatSubExpr.h:163
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.
RightOperand rhs_
Right-hand side sparse matrix of the subtraction expression.
Definition: TSMatTSMatSubExpr.h:322
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
BLAZE_ALWAYS_INLINE MT::Iterator end(Matrix< MT, SO > &matrix, size_t i)
Returns an iterator just past the last element of row/column i.
Definition: Matrix.h:260
Header file for the RowExprTrait class template.
Header file for all forward declarations for expression class templates.
Header file for the EnableIf class template.
Header file for the IsStrictlyLower type trait.
Compile time check for lower unitriangular matrices.This type trait tests whether or not the given te...
Definition: IsUniLower.h:86
Compile time check for resizable data types.This type trait tests whether the given data type is a re...
Definition: IsResizable.h:75
bool canAlias(const T *alias) const noexcept
Returns whether the expression can alias with the given address alias.
Definition: TSMatTSMatSubExpr.h:302
#define BLAZE_CONSTRAINT_MUST_NOT_BE_SYMMETRIC_MATRIX_TYPE(T)
Constraint on the data type.In case the given data type T is a symmetric matrix type, a compilation error is created.
Definition: Symmetric.h:79
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
Header file for run time assertion macros.
CompositeType_< MT2 > CT2
Composite type of the right-hand side sparse matrix expression.
Definition: TSMatTSMatSubExpr.h:115
Expression object for transpose sparse matrix-transpose sparse matrix subtractions.The TSMatTSMatSubExpr class represents the compile time expression for subtractions between two column-major sparse matrices.
Definition: Forward.h:159
If_< IsExpression< MT1 >, const MT1, const MT1 &> LeftOperand
Composite type of the left-hand side sparse matrix expression.
Definition: TSMatTSMatSubExpr.h:175
Compile time value evaluation.The Max class template selects the larger of the two given template arg...
Definition: Max.h:72
CompositeType_< MT1 > CT1
Composite type of the left-hand side sparse matrix expression.
Definition: TSMatTSMatSubExpr.h:114
ElementType_< ResultType > ElementType
Resulting element type.
Definition: TSMatTSMatSubExpr.h:166
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
ReturnType_< MT1 > RN1
Return type of the left-hand side sparse matrix expression.
Definition: TSMatTSMatSubExpr.h:112
Header file for the isDefault shim.
Compile time check for Hermitian matrices.This type trait tests whether or not the given template par...
Definition: IsHermitian.h:85
Constraint on the data type.
OppositeType_< ResultType > OppositeType
Result type with opposite storage order for expression template evaluations.
Definition: TSMatTSMatSubExpr.h:164
Constraints on the storage order of matrix types.
LeftOperand leftOperand() const noexcept
Returns the left-hand side transpose sparse matrix operand.
Definition: TSMatTSMatSubExpr.h:280
Header file for the RemoveReference type trait.
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
RightOperand rightOperand() const noexcept
Returns the right-hand side transpose sparse matrix operand.
Definition: TSMatTSMatSubExpr.h:290
Compile time check for strictly lower triangular matrices.This type trait tests whether or not the gi...
Definition: IsStrictlyLower.h:86
typename T::ConstIterator ConstIterator_
Alias declaration for nested ConstIterator type definitions.The ConstIterator_ alias declaration prov...
Definition: Aliases.h:103
size_t columns() const noexcept
Returns the current number of columns of the matrix.
Definition: TSMatTSMatSubExpr.h:249
ResultType_< MT2 > RT2
Result type of the right-hand side sparse matrix expression.
Definition: TSMatTSMatSubExpr.h:111
const DMatTransExpr< MT,!SO > trans(const DenseMatrix< MT, SO > &dm)
Calculation of the transpose of the given dense matrix.
Definition: DMatTransExpr.h:733
Header file for the IsComputation type trait class.
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
#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
bool isDefault(const DiagonalProxy< MT > &proxy)
Returns whether the represented element is in default state.
Definition: DiagonalProxy.h:573
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.
Header file for the IsHermitian type trait.
Header file for the IsResizable type trait.
Header file for the SubExprTrait class template.
size_t nonZeros() const
Returns the number of non-zero elements in the sparse matrix.
Definition: TSMatTSMatSubExpr.h:259
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
TransposeType_< ResultType > TransposeType
Transpose type for expression template evaluations.
Definition: TSMatTSMatSubExpr.h:165
#define BLAZE_CONSTRAINT_MUST_BE_SPARSE_MATRIX_TYPE(T)
Constraint on the data type.In case the given data type T is not a sparse, N-dimensional matrix type...
Definition: SparseMatrix.h:61
Header file for the IsExpression type trait class.
Header file for the function trace functionality.