35 #ifndef _BLAZE_MATH_EXPRESSIONS_TSMATTDMATMULTEXPR_H_ 36 #define _BLAZE_MATH_EXPRESSIONS_TSMATTDMATMULTEXPR_H_ 117 template<
typename MT1
123 class TSMatTDMatMultExpr
124 :
public MatMatMultExpr< DenseMatrix< TSMatTDMatMultExpr<MT1,MT2,SF,HF,LF,UF>, true > >
125 ,
private Computation
150 SYM = ( SF && !( HF || LF || UF ) ),
151 HERM = ( HF && !( LF || UF ) ),
152 LOW = ( LF || ( ( SF || HF ) && UF ) ),
153 UPP = ( UF || ( ( SF || HF ) && LF ) )
164 template<
typename T1,
typename T2,
typename T3 >
165 struct CanExploitSymmetry {
177 template<
typename T1,
typename T2,
typename T3 >
178 struct IsEvaluationRequired {
179 enum :
bool { value = ( evaluateLeft || evaluateRight ) &&
180 !CanExploitSymmetry<T1,T2,T3>::value };
191 template<
typename T1,
typename T2,
typename T3 >
192 struct UseOptimizedKernel {
193 enum :
bool { value = useOptimizedKernels &&
206 template<
typename T1,
typename T2,
typename T3 >
207 struct UseDefaultKernel {
208 enum :
bool { value = !UseOptimizedKernel<T1,T2,T3>::value };
259 enum :
bool { simdEnabled =
false };
262 enum :
bool { smpAssignable = !evaluateLeft && MT1::smpAssignable &&
263 !evaluateRight && MT2::smpAssignable };
313 :(
lhs_.columns() ) ) );
317 const size_t n(
end - begin );
337 if( i >=
lhs_.rows() ) {
340 if( j >=
rhs_.columns() ) {
352 inline size_t rows() const noexcept {
363 return rhs_.columns();
393 template<
typename T >
394 inline bool canAlias(
const T* alias )
const noexcept {
395 return (
lhs_.isAliased( alias ) ||
rhs_.isAliased( alias ) );
405 template<
typename T >
406 inline bool isAliased(
const T* alias )
const noexcept {
407 return (
lhs_.isAliased( alias ) ||
rhs_.isAliased( alias ) );
417 return rhs_.isAligned();
450 template<
typename MT
470 TSMatTDMatMultExpr::selectAssignKernel( ~lhs, A, B );
486 template<
typename MT3
489 static inline void selectAssignKernel( MT3& C,
const MT4& A,
const MT5& B )
491 const size_t size( C.rows() * C.columns() );
495 selectSmallAssignKernel( C, A, B );
497 selectLargeAssignKernel( C, A, B );
517 template<
typename MT3
520 static inline void selectDefaultAssignKernel( MT3& C,
const MT4& A,
const MT5& B )
528 for(
size_t i=0UL; i<A.columns(); ++i )
533 for( ; element!=
end; ++element ) {
534 C(element->index(),i) = element->value() * B(i,i);
540 const size_t block( 64UL );
542 for(
size_t jj=0UL; jj<B.columns(); jj+=block )
544 const size_t jpos( ( jj+block > B.columns() )?( B.columns() ):( jj+block ) );
546 for(
size_t i=0UL; i<A.columns(); ++i )
551 for( ; element!=
end; ++element )
553 const size_t i1( element->index() );
556 ?( ( SYM || HERM || UPP )
559 :( SYM || HERM || UPP ?
max(i1,jj) : jj ) );
564 :( LOW ?
min(i1+1UL,jpos) : jpos ) );
569 for(
size_t j=jbegin; j<jend; ++j ) {
571 C(i1,j) = element->value() * B(i,j);
573 C(i1,j) += element->value() * B(i,j);
581 for(
size_t j=0UL; j<B.columns(); ++j ) {
582 for(
size_t i=j+1UL; i<A.rows(); ++i ) {
583 C(i,j) = HERM ?
conj( C(j,i) ) : C(j,i);
605 template<
typename MT3
609 selectSmallAssignKernel( MT3& C,
const MT4& A,
const MT5& B )
611 selectDefaultAssignKernel( C, A, B );
631 template<
typename MT3
635 selectSmallAssignKernel( MT3& C,
const MT4& A,
const MT5& B )
641 for(
size_t jj=0UL; jj<B.columns(); jj+=block )
643 const size_t jpos( ( jj+block > B.columns() )?( B.columns() ):( jj+block ) );
645 for(
size_t i=0UL; i<A.rows(); ++i ) {
646 for(
size_t j=jj; j<jpos; ++j ) {
651 for(
size_t i=0UL; i<A.columns(); ++i )
656 const size_t nonzeros( A.nonZeros(i) );
657 const size_t kpos( nonzeros &
size_t(-4) );
660 for(
size_t k=0UL; k<kpos; k+=4UL )
662 const size_t i1( element->index() );
663 const ET1 v1( element->value() );
665 const size_t i2( element->index() );
666 const ET1 v2( element->value() );
668 const size_t i3( element->index() );
669 const ET1 v3( element->value() );
671 const size_t i4( element->index() );
672 const ET1 v4( element->value() );
678 ?( ( SYM || HERM || UPP )
681 :( SYM || HERM || UPP ?
max(i1,jj) : jj ) );
686 :( LOW ?
min(i4+1UL,jpos) : jpos ) );
691 for(
size_t j=jbegin; j<jend; ++j ) {
692 C(i1,j) += v1 * B(i,j);
693 C(i2,j) += v2 * B(i,j);
694 C(i3,j) += v3 * B(i,j);
695 C(i4,j) += v4 * B(i,j);
699 for( ; element!=
end; ++element )
701 const size_t i1( element->index() );
704 ?( ( SYM || HERM || UPP )
707 :( SYM || HERM || UPP ?
max(i1,jj) : jj ) );
712 :( LOW ?
min(i1+1UL,jpos) : jpos ) );
717 for(
size_t j=jbegin; j<jend; ++j ) {
718 C(i1,j) += element->value() * B(i,j);
725 for(
size_t j=0UL; j<B.columns(); ++j ) {
726 for(
size_t i=j+1UL; i<A.rows(); ++i ) {
727 C(i,j) = HERM ?
conj( C(j,i) ) : C(j,i);
749 template<
typename MT3
753 selectLargeAssignKernel( MT3& C,
const MT4& A,
const MT5& B )
755 selectDefaultAssignKernel( C, A, B );
775 template<
typename MT3
779 selectLargeAssignKernel( MT3& C,
const MT4& A,
const MT5& B )
783 const ForwardFunctor fwd;
786 assign( C, fwd( tmp * B ) );
804 template<
typename MT
823 const ForwardFunctor fwd;
825 const TmpType tmp(
serial( rhs ) );
826 assign( ~lhs, fwd( tmp ) );
846 template<
typename MT
858 const ForwardFunctor fwd;
861 assign( ~lhs, fwd(
trans( rhs.lhs_ ) *
trans( rhs.rhs_ ) ) );
863 assign( ~lhs, fwd(
trans( rhs.lhs_ ) * rhs.rhs_ ) );
865 assign( ~lhs, fwd( rhs.lhs_ *
trans( rhs.rhs_ ) ) );
883 template<
typename MT
903 TSMatTDMatMultExpr::selectAddAssignKernel( ~lhs, A, B );
919 template<
typename MT3
922 static inline void selectAddAssignKernel( MT3& C,
const MT4& A,
const MT5& B )
924 const size_t size( C.rows() * C.columns() );
928 selectSmallAddAssignKernel( C, A, B );
930 selectLargeAddAssignKernel( C, A, B );
950 template<
typename MT3
953 static inline void selectDefaultAddAssignKernel( MT3& C,
const MT4& A,
const MT5& B )
959 for(
size_t i=0UL; i<A.columns(); ++i )
964 for( ; element!=
end; ++element ) {
965 C(element->index(),i) += element->value() * B(i,i);
971 const size_t block( 64UL );
973 for(
size_t jj=0UL; jj<B.columns(); jj+=block )
975 const size_t jpos( ( jj+block > B.columns() )?( B.columns() ):( jj+block ) );
977 for(
size_t i=0UL; i<A.columns(); ++i )
982 for( ; element!=
end; ++element )
984 const size_t i1( element->index() );
990 :( UPP ?
max(i1,jj) : jj ) );
995 :( LOW ?
min(i1+1UL,jpos) : jpos ) );
1000 for(
size_t j=jbegin; j<jend; ++j ) {
1001 C(i1,j) += element->value() * B(i,j);
1025 template<
typename MT3
1029 selectSmallAddAssignKernel( MT3& C,
const MT4& A,
const MT5& B )
1031 selectDefaultAddAssignKernel( C, A, B );
1051 template<
typename MT3
1055 selectSmallAddAssignKernel( MT3& C,
const MT4& A,
const MT5& B )
1061 for(
size_t jj=0UL; jj<B.columns(); jj+=block )
1063 const size_t jpos( ( jj+block > B.columns() )?( B.columns() ):( jj+block ) );
1065 for(
size_t i=0UL; i<A.columns(); ++i )
1070 const size_t nonzeros( A.nonZeros(i) );
1071 const size_t kpos( nonzeros &
size_t(-4) );
1074 for(
size_t k=0UL; k<kpos; k+=4UL )
1076 const size_t i1( element->index() );
1077 const ET1 v1( element->value() );
1079 const size_t i2( element->index() );
1080 const ET1 v2( element->value() );
1082 const size_t i3( element->index() );
1083 const ET1 v3( element->value() );
1085 const size_t i4( element->index() );
1086 const ET1 v4( element->value() );
1095 :( UPP ?
max(i1,jj) : jj ) );
1100 :( LOW ?
min(i4+1UL,jpos) : jpos ) );
1102 if( jbegin >= jend )
1105 for(
size_t j=jbegin; j<jend; ++j ) {
1106 C(i1,j) += v1 * B(i,j);
1107 C(i2,j) += v2 * B(i,j);
1108 C(i3,j) += v3 * B(i,j);
1109 C(i4,j) += v4 * B(i,j);
1113 for( ; element!=
end; ++element )
1115 const size_t i1( element->index() );
1121 :( UPP ?
max(i1,jj) : jj ) );
1126 :( LOW ?
min(i1+1UL,jpos) : jpos ) );
1128 if( jbegin >= jend )
1131 for(
size_t j=jbegin; j<jend; ++j ) {
1132 C(i1,j) += element->value() * B(i,j);
1155 template<
typename MT3
1159 selectLargeAddAssignKernel( MT3& C,
const MT4& A,
const MT5& B )
1161 selectDefaultAddAssignKernel( C, A, B );
1181 template<
typename MT3
1185 selectLargeAddAssignKernel( MT3& C,
const MT4& A,
const MT5& B )
1189 const ForwardFunctor fwd;
1192 addAssign( C, fwd( tmp * B ) );
1212 template<
typename MT
1224 const ForwardFunctor fwd;
1227 addAssign( ~lhs, fwd(
trans( rhs.lhs_ ) *
trans( rhs.rhs_ ) ) );
1229 addAssign( ~lhs, fwd(
trans( rhs.lhs_ ) * rhs.rhs_ ) );
1231 addAssign( ~lhs, fwd( rhs.lhs_ *
trans( rhs.rhs_ ) ) );
1253 template<
typename MT
1273 TSMatTDMatMultExpr::selectSubAssignKernel( ~lhs, A, B );
1289 template<
typename MT3
1292 static inline void selectSubAssignKernel( MT3& C,
const MT4& A,
const MT5& B )
1294 const size_t size( C.rows() * C.columns() );
1298 selectSmallSubAssignKernel( C, A, B );
1300 selectLargeSubAssignKernel( C, A, B );
1320 template<
typename MT3
1323 static inline void selectDefaultSubAssignKernel( MT3& C,
const MT4& A,
const MT5& B )
1329 for(
size_t i=0UL; i<A.columns(); ++i )
1334 for( ; element!=
end; ++element ) {
1335 C(element->index(),i) -= element->value() * B(i,i);
1341 const size_t block( 64UL );
1343 for(
size_t jj=0UL; jj<B.columns(); jj+=block )
1345 const size_t jpos( ( jj+block > B.columns() )?( B.columns() ):( jj+block ) );
1347 for(
size_t i=0UL; i<A.columns(); ++i )
1352 for( ; element!=
end; ++element )
1354 const size_t i1( element->index() );
1360 :( UPP ?
max(i1,jj) : jj ) );
1365 :( LOW ?
min(i1+1UL,jpos) : jpos ) );
1367 if( jbegin >= jend )
1370 for(
size_t j=jbegin; j<jend; ++j ) {
1371 C(i1,j) -= element->value() * B(i,j);
1395 template<
typename MT3
1399 selectSmallSubAssignKernel( MT3& C,
const MT4& A,
const MT5& B )
1401 selectDefaultSubAssignKernel( C, A, B );
1421 template<
typename MT3
1425 selectSmallSubAssignKernel( MT3& C,
const MT4& A,
const MT5& B )
1431 for(
size_t jj=0UL; jj<B.columns(); jj+=block )
1433 const size_t jpos( ( jj+block > B.columns() )?( B.columns() ):( jj+block ) );
1435 for(
size_t i=0UL; i<A.columns(); ++i )
1440 const size_t nonzeros( A.nonZeros(i) );
1441 const size_t kpos( nonzeros &
size_t(-4) );
1444 for(
size_t k=0UL; k<kpos; k+=4UL )
1446 const size_t i1( element->index() );
1447 const ET1 v1( element->value() );
1449 const size_t i2( element->index() );
1450 const ET1 v2( element->value() );
1452 const size_t i3( element->index() );
1453 const ET1 v3( element->value() );
1455 const size_t i4( element->index() );
1456 const ET1 v4( element->value() );
1465 :( UPP ?
max(i1,jj) : jj ) );
1470 :( LOW ?
min(i4+1UL,jpos) : jpos ) );
1472 if( jbegin >= jend )
1475 for(
size_t j=jbegin; j<jend; ++j ) {
1476 C(i1,j) -= v1 * B(i,j);
1477 C(i2,j) -= v2 * B(i,j);
1478 C(i3,j) -= v3 * B(i,j);
1479 C(i4,j) -= v4 * B(i,j);
1483 for( ; element!=
end; ++element )
1485 const size_t i1( element->index() );
1491 :( UPP ?
max(i1,jj) : jj ) );
1496 :( LOW ?
min(i1+1UL,jpos) : jpos ) );
1498 if( jbegin >= jend )
1501 for(
size_t j=jbegin; j<jend; ++j ) {
1502 C(i1,j) -= element->value() * B(i,j);
1525 template<
typename MT3
1529 selectLargeSubAssignKernel( MT3& C,
const MT4& A,
const MT5& B )
1531 selectDefaultSubAssignKernel( C, A, B );
1551 template<
typename MT3
1555 selectLargeSubAssignKernel( MT3& C,
const MT4& A,
const MT5& B )
1559 const ForwardFunctor fwd;
1562 subAssign( C, fwd( tmp * B ) );
1582 template<
typename MT
1594 const ForwardFunctor fwd;
1597 subAssign( ~lhs, fwd(
trans( rhs.lhs_ ) *
trans( rhs.rhs_ ) ) );
1599 subAssign( ~lhs, fwd(
trans( rhs.lhs_ ) * rhs.rhs_ ) );
1601 subAssign( ~lhs, fwd( rhs.lhs_ *
trans( rhs.rhs_ ) ) );
1623 template<
typename MT
1637 schurAssign( ~lhs, tmp );
1670 template<
typename MT
1711 template<
typename MT
1730 const ForwardFunctor fwd;
1732 const TmpType tmp( rhs );
1753 template<
typename MT
1765 const ForwardFunctor fwd;
1793 template<
typename MT
1833 template<
typename MT
1845 const ForwardFunctor fwd;
1877 template<
typename MT
1917 template<
typename MT
1929 const ForwardFunctor fwd;
1958 template<
typename MT
2039 template<
typename MT1
2041 inline decltype(
auto)
2088 template<
typename MT1
2103 return ReturnType( dm.leftOperand(), dm.rightOperand() );
2133 template<
typename MT1
2148 return ReturnType( dm.leftOperand(), dm.rightOperand() );
2178 template<
typename MT1
2193 return ReturnType( dm.leftOperand(), dm.rightOperand() );
2223 template<
typename MT1
2238 return ReturnType( dm.leftOperand(), dm.rightOperand() );
2268 template<
typename MT1
2283 return ReturnType( dm.leftOperand(), dm.rightOperand() );
2299 template<
typename MT1,
typename MT2,
bool SF,
bool HF,
bool LF,
bool UF >
2300 struct Size< TSMatTDMatMultExpr<MT1,MT2,SF,HF,LF,UF>, 0UL >
2301 :
public Size<MT1,0UL>
2304 template<
typename MT1,
typename MT2,
bool SF,
bool HF,
bool LF,
bool UF >
2305 struct Size< TSMatTDMatMultExpr<MT1,MT2,SF,HF,LF,UF>, 1UL >
2306 :
public Size<MT2,1UL>
2322 template<
typename MT1,
typename MT2,
bool SF,
bool HF,
bool LF,
bool UF >
2323 struct IsAligned< TSMatTDMatMultExpr<MT1,MT2,SF,HF,LF,UF> >
2340 template<
typename MT1,
typename MT2,
bool SF,
bool HF,
bool LF,
bool UF >
2341 struct IsSymmetric< TSMatTDMatMultExpr<MT1,MT2,SF,HF,LF,UF> >
2342 :
public Or< Bool<SF>
2344 , IsBuiltin< ElementType_< TSMatTDMatMultExpr<MT1,MT2,false,true,false,false> > > >
2345 , And< Bool<LF>, Bool<UF> > >
2361 template<
typename MT1,
typename MT2,
bool SF,
bool LF,
bool UF >
2362 struct IsHermitian< TSMatTDMatMultExpr<MT1,MT2,SF,true,LF,UF> >
2379 template<
typename MT1,
typename MT2,
bool SF,
bool HF,
bool LF,
bool UF >
2380 struct IsLower< TSMatTDMatMultExpr<MT1,MT2,SF,HF,LF,UF> >
2381 :
public Or< Bool<LF>
2382 , And< IsLower<MT1>, IsLower<MT2> >
2383 , And< Or< Bool<SF>, Bool<HF> >
2384 , IsUpper<MT1>, IsUpper<MT2> > >
2400 template<
typename MT1,
typename MT2,
bool SF,
bool HF,
bool LF,
bool UF >
2401 struct IsUniLower< TSMatTDMatMultExpr<MT1,MT2,SF,HF,LF,UF> >
2402 :
public Or< And< IsUniLower<MT1>, IsUniLower<MT2> >
2403 , And< Or< Bool<SF>, Bool<HF> >
2404 , IsUniUpper<MT1>, IsUniUpper<MT2> > >
2420 template<
typename MT1,
typename MT2,
bool SF,
bool HF,
bool LF,
bool UF >
2422 :
public Or< And< IsStrictlyLower<MT1>, IsLower<MT2> >
2423 , And< IsStrictlyLower<MT2>, IsLower<MT1> >
2424 , And< Or< Bool<SF>, Bool<HF> >
2425 , Or< And< IsStrictlyUpper<MT1>, IsUpper<MT2> >
2426 , And< IsStrictlyUpper<MT2>, IsUpper<MT1> > > > >
2442 template<
typename MT1,
typename MT2,
bool SF,
bool HF,
bool LF,
bool UF >
2443 struct IsUpper< TSMatTDMatMultExpr<MT1,MT2,SF,HF,LF,UF> >
2444 :
public Or< Bool<UF>
2445 , And< IsUpper<MT1>, IsUpper<MT2> >
2446 , And< Or< Bool<SF>, Bool<HF> >
2447 , IsLower<MT1>, IsLower<MT2> > >
2463 template<
typename MT1,
typename MT2,
bool SF,
bool HF,
bool LF,
bool UF >
2464 struct IsUniUpper< TSMatTDMatMultExpr<MT1,MT2,SF,HF,LF,UF> >
2465 :
public Or< And< IsUniUpper<MT1>, IsUniUpper<MT2> >
2466 , And< Or< Bool<SF>, Bool<HF> >
2467 , IsUniLower<MT1>, IsUniLower<MT2> > >
2483 template<
typename MT1,
typename MT2,
bool SF,
bool HF,
bool LF,
bool UF >
2485 :
public Or< And< IsStrictlyUpper<MT1>, IsUpper<MT2> >
2486 , And< IsStrictlyUpper<MT2>, IsUpper<MT1> >
2487 , And< Or< Bool<SF>, Bool<HF> >
2488 , Or< And< IsStrictlyLower<MT1>, IsLower<MT2> >
2489 , And< IsStrictlyLower<MT2>, IsLower<MT1> > > > >
decltype(auto) subvector(Vector< VT, TF > &, RSAs...)
Creating a view on a specific subvector of the given vector.
Definition: Subvector.h:329
#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.
decltype(auto) column(Matrix< MT, SO > &matrix, RCAs... args)
Creating a view on a specific column of the given matrix.
Definition: Column.h:131
Headerfile for the generic min algorithm.
Header file for the blaze::checked and blaze::unchecked instances.
Compile time check whether the given type is a computational expression template.This type trait clas...
Definition: IsComputation.h:71
bool canSMPAssign() const noexcept
Returns whether the expression can be used in SMP assignments.
Definition: TSMatTDMatMultExpr.h:426
decltype(auto) decldiag(const DenseMatrix< MT, SO > &dm)
Declares the given dense matrix expression dm as diagonal.
Definition: DMatDeclDiagExpr.h:996
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
ResultType_< MT2 > RT2
Result type of the right-hand side dense matrix expression.
Definition: TSMatTDMatMultExpr.h:130
Compile time check for triangular matrix types.This type trait tests whether or not the given templat...
Definition: IsTriangular.h:86
Header file for basic type definitions.
ElementType_< RT2 > ET2
Element type of the right-hand side sparse matrix expression.
Definition: TSMatTDMatMultExpr.h:132
Expression object for transpose sparse matrix-transpose dense matrix multiplications.The TSMatTDMatMultExpr class represents the compile time expression for multiplications between a column-major sparse matrix and a column-major dense matrix.
Definition: Forward.h:168
ElementType_< RT1 > ET1
Element type of the left-hand side dense matrix expression.
Definition: TSMatTDMatMultExpr.h:131
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.
Header file for the IsDiagonal type trait.
BLAZE_ALWAYS_INLINE size_t size(const Vector< VT, TF > &vector) noexcept
Returns the current size/dimension of the vector.
Definition: Vector.h:265
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
Flag for symmetric matrices.
Definition: TSMatTDMatMultExpr.h:150
bool isAligned() const noexcept
Returns whether the operands of the expression are properly aligned in memory.
Definition: TSMatTDMatMultExpr.h:416
Header file for the DeclUpp functor.
bool isAliased(const T *alias) const noexcept
Returns whether the expression is aliased with the given address alias.
Definition: TSMatTDMatMultExpr.h:406
BLAZE_ALWAYS_INLINE MT::Iterator begin(Matrix< MT, SO > &matrix, size_t i)
Returns an iterator to the first element of row/column i.
Definition: Matrix.h:364
Header file for the IsColumnMajorMatrix type trait.
void reset(const DiagonalProxy< MT > &proxy)
Resetting the represented element to the default initial values.
Definition: DiagonalProxy.h:588
constexpr Unchecked unchecked
Global Unchecked instance.The blaze::unchecked instance is an optional token for the creation of view...
Definition: Check.h:138
Flag for Hermitian matrices.
Definition: TSMatTDMatMultExpr.h:151
typename DisableIf< Condition, T >::Type DisableIf_
Auxiliary type for the DisableIf class template.The DisableIf_ alias declaration provides a convenien...
Definition: DisableIf.h:224
IfTrue_< evaluateRight, const RT2, CT2 > RT
Type for the assignment of the right-hand side dense matrix operand.
Definition: TSMatTDMatMultExpr.h:254
Header file for the And class template.
const ElementType_< MT > min(const DenseMatrix< MT, SO > &dm)
Returns the smallest element of the dense matrix.
Definition: DenseMatrix.h:1903
Compile time check for lower triangular matrices.This type trait tests whether or not the given templ...
Definition: IsLower.h:87
MultTrait_< RT1, RT2 > ResultType
Result type for expression template evaluations.
Definition: TSMatTDMatMultExpr.h:237
decltype(auto) declupp(const DenseMatrix< MT, SO > &dm)
Declares the given dense matrix expression dm as upper.
Definition: DMatDeclUppExpr.h:1026
typename MultTrait< T1, T2 >::Type MultTrait_
Auxiliary alias declaration for the MultTrait class template.The MultTrait_ alias declaration provide...
Definition: MultTrait.h:291
Header file for the Computation base class.
Header file for the MatMatMultExpr 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.
System settings for performance optimizations.
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
const ElementType_< MT > max(const DenseMatrix< MT, SO > &dm)
Returns the largest element of the dense matrix.
Definition: DenseMatrix.h:1950
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
RightOperand rhs_
Right-hand side dense matrix of the multiplication expression.
Definition: TSMatTDMatMultExpr.h:434
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
OppositeType_< ResultType > OppositeType
Result type with opposite storage order for expression template evaluations.
Definition: TSMatTDMatMultExpr.h:238
Compile time check for the alignment of data types.This type trait tests whether the given data type ...
Definition: IsAligned.h:87
const ResultType CompositeType
Data type for composite expression templates.
Definition: TSMatTDMatMultExpr.h:242
Constraint on the data type.
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:71
typename T::CompositeType CompositeType_
Alias declaration for nested CompositeType type definitions.The CompositeType_ alias declaration prov...
Definition: Aliases.h:83
bool canAlias(const T *alias) const noexcept
Returns whether the expression can alias with the given address alias.
Definition: TSMatTDMatMultExpr.h:394
Compile time check for upper unitriangular matrices.This type trait tests whether or not the given te...
Definition: IsUniUpper.h:86
Headerfile for the generic max algorithm.
Header file for the DisableIf class template.
Header file for the multiplication trait.
Header file for the IsStrictlyUpper type trait.
Header file for the IsSymmetric type trait.
Namespace of the Blaze C++ math library.
Definition: Blaze.h:58
Header file for the DeclLow functor.
Header file for the If class template.
Compile time check for row-major matrix types.This type trait tests whether or not the given template...
Definition: IsRowMajorMatrix.h:110
#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
ResultType_< MT1 > RT1
Result type of the left-hand side sparse matrix expression.
Definition: TSMatTDMatMultExpr.h:129
Generic wrapper for the decllow() function.
Definition: DeclLow.h:58
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.
ReturnType operator()(size_t i, size_t j) const
2D-access to the matrix elements.
Definition: TSMatTDMatMultExpr.h:287
#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.
LeftOperand lhs_
Left-hand side sparse matrix of the multiplication expression.
Definition: TSMatTDMatMultExpr.h:433
const Element * ConstIterator
Iterator over constant elements.
Definition: CompressedMatrix.h:3085
typename T::ElementType ElementType_
Alias declaration for nested ElementType type definitions.The ElementType_ alias declaration provides...
Definition: Aliases.h:163
TSMatTDMatMultExpr(const MT1 &lhs, const MT2 &rhs) noexcept
Constructor for the TSMatTDMatMultExpr class.
Definition: TSMatTDMatMultExpr.h:272
decltype(auto) decllow(const DenseMatrix< MT, SO > &dm)
Declares the given dense matrix expression dm as lower.
Definition: DMatDeclLowExpr.h:1026
Header file for the IsLower type trait.
Header file for the IsAligned type trait.
Compile time check for diagonal matrices.This type trait tests whether or not the given template para...
Definition: IsDiagonal.h:89
Generic wrapper for the null function.
Definition: Noop.h:59
Header file for the IsTriangular type trait.
size_t rows() const noexcept
Returns the current number of rows of the matrix.
Definition: TSMatTDMatMultExpr.h:352
CompositeType_< MT1 > CT1
Composite type of the left-hand side sparse matrix expression.
Definition: TSMatTDMatMultExpr.h:133
LeftOperand leftOperand() const noexcept
Returns the left-hand side transpose sparse matrix operand.
Definition: TSMatTDMatMultExpr.h:372
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
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:430
Header file for the DeclDiag functor.
Constraint on the data type.
Header file for all forward declarations for expression class templates.
const ElementType ReturnType
Return type for expression template evaluations.
Definition: TSMatTDMatMultExpr.h:241
Header file for the EnableIf class template.
Header file for the IsStrictlyLower type trait.
#define BLAZE_CONSTRAINT_MUST_FORM_VALID_MATMATMULTEXPR(T1, T2)
Constraint on the data type.In case the given data types T1 and T2 do not form a valid matrix/matrix ...
Definition: MatMatMultExpr.h:107
Compile time check for lower unitriangular matrices.This type trait tests whether or not the given te...
Definition: IsUniLower.h:86
Header file for the conjugate shim.
Compile time check for resizable data types.This type trait tests whether the given data type is a re...
Definition: IsResizable.h:75
#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
#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.
Compile time check for column-major matrix types.This type trait tests whether or not the given templ...
Definition: IsColumnMajorMatrix.h:110
Flag for upper matrices.
Definition: TSMatTDMatMultExpr.h:153
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
decltype(auto) row(Matrix< MT, SO > &, RRAs...)
Creating a view on a specific row of the given matrix.
Definition: Row.h:131
ElementType_< ResultType > ElementType
Resulting element type.
Definition: TSMatTDMatMultExpr.h:240
Header file for the reset shim.
#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
decltype(auto) declsym(const DenseMatrix< MT, SO > &dm)
Declares the given dense matrix expression dm as symmetric.
Definition: DMatDeclSymExpr.h:1028
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
Base class for matrices.The Matrix class is a base class for all dense and sparse matrix classes with...
Definition: Forward.h:101
Constraint on the data type.
Constraints on the storage order of matrix types.
Generic wrapper for the declherm() function.
Definition: DeclHerm.h:58
decltype(auto) serial(const DenseMatrix< MT, SO > &dm)
Forces the serial evaluation of the given dense matrix expression dm.
Definition: DMatSerialExpr.h:816
Header file for the Noop functor.
TransposeType_< ResultType > TransposeType
Transpose type for expression template evaluations.
Definition: TSMatTDMatMultExpr.h:239
#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
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
Generic wrapper for the declupp() function.
Definition: DeclUpp.h:58
Compile time check for strictly lower triangular matrices.This type trait tests whether or not the gi...
Definition: IsStrictlyLower.h:86
const Type & ReturnType
Return type for expression template evaluations.
Definition: CompressedMatrix.h:3080
typename T::ConstIterator ConstIterator_
Alias declaration for nested ConstIterator type definitions.The ConstIterator_ alias declaration prov...
Definition: Aliases.h:103
decltype(auto) trans(const DenseMatrix< MT, SO > &dm)
Calculation of the transpose of the given dense matrix.
Definition: DMatTransExpr.h:789
decltype(auto) declherm(const DenseMatrix< MT, SO > &dm)
Declares the given dense matrix expression dm as Hermitian.
Definition: DMatDeclHermExpr.h:1028
If_< IsExpression< MT1 >, const MT1, const MT1 &> LeftOperand
Composite type of the left-hand side sparse matrix expression.
Definition: TSMatTDMatMultExpr.h:245
Header file for the IsRowMajorMatrix type trait.
Header file for the IsComputation type trait class.
RightOperand rightOperand() const noexcept
Returns the right-hand side transpose dense matrix operand.
Definition: TSMatTDMatMultExpr.h:382
Header file for the IsBuiltin type trait.
size_t columns() const noexcept
Returns the current number of columns of the matrix.
Definition: TSMatTDMatMultExpr.h:362
Flag for lower matrices.
Definition: TSMatTDMatMultExpr.h:152
Compile time logical 'or' evaluation.The Or alias declaration performs at compile time a logical 'or'...
Definition: Or.h:76
Compile time evaluation of the size of vectors and matrices.The Size type trait evaluates the size of...
Definition: Size.h:80
If_< IsExpression< MT2 >, const MT2, const MT2 &> RightOperand
Composite type of the right-hand side dense matrix expression.
Definition: TSMatTDMatMultExpr.h:248
CompositeType_< MT2 > CT2
Composite type of the right-hand side dense matrix expression.
Definition: TSMatTDMatMultExpr.h:134
Generic wrapper for the decldiag() function.
Definition: DeclDiag.h:58
Header file for the DeclHerm functor.
bool isDefault(const DiagonalProxy< MT > &proxy)
Returns whether the represented element is in default state.
Definition: DiagonalProxy.h:628
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.
decltype(auto) conj(const DenseMatrix< MT, SO > &dm)
Returns a matrix containing the complex conjugate of each single element of dm.
Definition: DMatMapExpr.h:1321
Constraint on the data type.
Generic wrapper for the declsym() function.
Definition: DeclSym.h:58
BLAZE_ALWAYS_INLINE bool isSquare(const Matrix< MT, SO > &matrix) noexcept
Checks if the given matrix is a square matrix.
Definition: Matrix.h:908
Header file for the IsResizable type trait.
IfTrue_< evaluateLeft, const RT1, CT1 > LT
Type for the assignment of the left-hand side sparse matrix operand.
Definition: TSMatTDMatMultExpr.h:251
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
Header file for the Bool class template.
Header file for the DeclSym functor.
#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.
ReturnType at(size_t i, size_t j) const
Checked access to the matrix elements.
Definition: TSMatTDMatMultExpr.h:336