35 #ifndef _BLAZE_MATH_EXPRESSIONS_TSMATTDMATMULTEXPR_H_ 36 #define _BLAZE_MATH_EXPRESSIONS_TSMATTDMATMULTEXPR_H_ 122 template<
typename MT1
128 class TSMatTDMatMultExpr
129 :
public MatMatMultExpr< DenseMatrix< TSMatTDMatMultExpr<MT1,MT2,SF,HF,LF,UF>, true > >
130 ,
private Computation
144 static constexpr
bool evaluateLeft = ( IsComputation_v<MT1> || RequiresEvaluation_v<MT1> );
149 static constexpr
bool evaluateRight = ( IsComputation_v<MT2> || RequiresEvaluation_v<MT2> );
153 static constexpr
bool SYM = ( SF && !( HF || LF || UF ) );
154 static constexpr
bool HERM = ( HF && !( LF || UF ) );
155 static constexpr
bool LOW = ( LF || ( ( SF || HF ) && UF ) );
156 static constexpr
bool UPP = ( UF || ( ( SF || HF ) && LF ) );
166 template<
typename T1,
typename T2,
typename T3 >
167 static constexpr
bool CanExploitSymmetry_v = ( IsSymmetric_v<T2> || IsSymmetric_v<T3> );
177 template<
typename T1,
typename T2,
typename T3 >
178 static constexpr
bool IsEvaluationRequired_v =
188 template<
typename T1,
typename T2,
typename T3 >
189 static constexpr
bool UseOptimizedKernel_v =
190 ( useOptimizedKernels &&
192 !IsResizable_v< ElementType_t<T1> > &&
193 !IsResizable_v<ET1> );
202 template<
typename T1,
typename T2,
typename T3 >
203 static constexpr
bool UseDefaultKernel_v = !UseOptimizedKernel_v<T1,T2,T3>;
300 if( IsDiagonal_v<MT1> ) {
303 else if( IsDiagonal_v<MT2> ) {
306 else if( IsTriangular_v<MT1> || IsTriangular_v<MT2> ) {
307 const size_t begin( ( IsUpper_v<MT1> )
308 ?( ( IsLower_v<MT2> )
309 ?(
max( ( IsStrictlyUpper_v<MT1> ? i+1UL : i )
310 , ( IsStrictlyLower_v<MT2> ? j+1UL : j ) ) )
311 :( IsStrictlyUpper_v<MT1> ? i+1UL : i ) )
312 :( ( IsLower_v<MT2> )
313 ?( IsStrictlyLower_v<MT2> ? j+1UL : j )
315 const size_t end( ( IsLower_v<MT1> )
316 ?( ( IsUpper_v<MT2> )
317 ?(
min( ( IsStrictlyLower_v<MT1> ? i : i+1UL )
318 , ( IsStrictlyUpper_v<MT2> ? j : j+1UL ) ) )
319 :( IsStrictlyLower_v<MT1> ? i : i+1UL ) )
320 :( ( IsUpper_v<MT2> )
321 ?( IsStrictlyUpper_v<MT2> ? j : j+1UL )
322 :(
lhs_.columns() ) ) );
346 if( i >=
lhs_.rows() ) {
349 if( j >=
rhs_.columns() ) {
361 inline size_t rows() const noexcept {
372 return rhs_.columns();
402 template<
typename T >
403 inline bool canAlias(
const T* alias )
const noexcept {
404 return (
lhs_.isAliased( alias ) ||
rhs_.isAliased( alias ) );
414 template<
typename T >
415 inline bool isAliased(
const T* alias )
const noexcept {
416 return (
lhs_.isAliased( alias ) ||
rhs_.isAliased( alias ) );
426 return rhs_.isAligned();
436 return (
rows() *
columns() >= SMP_TSMATTDMATMULT_THRESHOLD ) && !IsDiagonal_v<MT2>;
459 template<
typename MT
479 TSMatTDMatMultExpr::selectAssignKernel( ~lhs, A, B );
495 template<
typename MT3
498 static inline void selectAssignKernel( MT3& C,
const MT4& A,
const MT5& B )
500 const size_t size( C.rows() * C.columns() );
502 if( ( IsRowMajorMatrix_v<MT3> &&
size < TSMATTDMATMULT_THRESHOLD ) ||
503 ( IsColumnMajorMatrix_v<MT3> &&
size < 625UL ) )
504 selectSmallAssignKernel( C, A, B );
506 selectLargeAssignKernel( C, A, B );
526 template<
typename MT3
529 static inline void selectDefaultAssignKernel( MT3& C,
const MT4& A,
const MT5& B )
533 if( IsDiagonal_v<MT5> )
535 for(
size_t i=0UL; i<A.columns(); ++i )
537 const auto end( A.end(i) );
538 auto element( A.begin(i) );
540 for( ; element!=
end; ++element ) {
541 C(element->index(),i) = element->value() * B(i,i);
547 const size_t block( 64UL );
549 for(
size_t jj=0UL; jj<B.columns(); jj+=block )
551 const size_t jpos( ( jj+block > B.columns() )?( B.columns() ):( jj+block ) );
553 for(
size_t i=0UL; i<A.columns(); ++i )
555 const auto end( A.end(i) );
556 auto element( A.begin(i) );
558 for( ; element!=
end; ++element )
560 const size_t i1( element->index() );
562 const size_t jbegin( ( IsUpper_v<MT5> )
564 ?(
max( i1, IsStrictlyUpper_v<MT5> ? i+1UL : i, jj ) )
565 :(
max( IsStrictlyUpper_v<MT5> ? i+1UL : i, jj ) ) )
567 const size_t jend( ( IsLower_v<MT5> )
569 ?(
min( i1+1UL, IsStrictlyLower_v<MT5> ? i : i+1UL, jpos ) )
570 :(
min( IsStrictlyLower_v<MT5> ? i : i+1UL, jpos ) ) )
571 :(
LOW ?
min(i1+1UL,jpos) : jpos ) );
576 for(
size_t j=jbegin; j<jend; ++j ) {
578 C(i1,j) = element->value() * B(i,j);
580 C(i1,j) += element->value() * B(i,j);
588 for(
size_t j=0UL; j<B.columns(); ++j ) {
589 for(
size_t i=j+1UL; i<A.rows(); ++i ) {
590 C(i,j) =
HERM ?
conj( C(j,i) ) : C(j,i);
612 template<
typename MT3
615 static inline auto selectSmallAssignKernel( MT3& C,
const MT4& A,
const MT5& B )
616 -> EnableIf_t< UseDefaultKernel_v<MT3,MT4,MT5> >
618 selectDefaultAssignKernel( C, A, B );
638 template<
typename MT3
641 static inline auto selectSmallAssignKernel( MT3& C,
const MT4& A,
const MT5& B )
642 -> EnableIf_t< UseOptimizedKernel_v<MT3,MT4,MT5> >
644 const size_t block( IsRowMajorMatrix_v<MT3> ? 128UL : 64UL );
646 for(
size_t jj=0UL; jj<B.columns(); jj+=block )
648 const size_t jpos( ( jj+block > B.columns() )?( B.columns() ):( jj+block ) );
650 for(
size_t i=0UL; i<A.rows(); ++i ) {
651 for(
size_t j=jj; j<jpos; ++j ) {
656 for(
size_t i=0UL; i<A.columns(); ++i )
658 const auto end( A.end(i) );
659 auto element( A.begin(i) );
661 const size_t nonzeros( A.nonZeros(i) );
662 const size_t kpos( nonzeros &
size_t(-4) );
665 for(
size_t k=0UL; k<kpos; k+=4UL )
667 const size_t i1( element->index() );
668 const ET1 v1( element->value() );
670 const size_t i2( element->index() );
671 const ET1 v2( element->value() );
673 const size_t i3( element->index() );
674 const ET1 v3( element->value() );
676 const size_t i4( element->index() );
677 const ET1 v4( element->value() );
682 const size_t jbegin( ( IsUpper_v<MT5> )
684 ?(
max( i1, IsStrictlyUpper_v<MT5> ? i+1UL : i, jj ) )
685 :(
max( IsStrictlyUpper_v<MT5> ? i+1UL : i, jj ) ) )
687 const size_t jend( ( IsLower_v<MT5> )
689 ?(
min( i4+1UL, IsStrictlyLower_v<MT5> ? i : i+1UL, jpos ) )
690 :(
min( IsStrictlyLower_v<MT5> ? i : i+1UL, jpos ) ) )
691 :(
LOW ?
min(i4+1UL,jpos) : jpos ) );
696 for(
size_t j=jbegin; j<jend; ++j ) {
697 C(i1,j) += v1 * B(i,j);
698 C(i2,j) += v2 * B(i,j);
699 C(i3,j) += v3 * B(i,j);
700 C(i4,j) += v4 * B(i,j);
704 for( ; element!=
end; ++element )
706 const size_t i1( element->index() );
708 const size_t jbegin( ( IsUpper_v<MT5> )
710 ?(
max( i1, IsStrictlyUpper_v<MT5> ? i+1UL : i, jj ) )
711 :(
max( IsStrictlyUpper_v<MT5> ? i+1UL : i, jj ) ) )
713 const size_t jend( ( IsLower_v<MT5> )
715 ?(
min( i1+1UL, IsStrictlyLower_v<MT5> ? i : i+1UL, jpos ) )
716 :(
min( IsStrictlyLower_v<MT5> ? i : i+1UL, jpos ) ) )
717 :(
LOW ?
min(i1+1UL,jpos) : jpos ) );
722 for(
size_t j=jbegin; j<jend; ++j ) {
723 C(i1,j) += element->value() * B(i,j);
730 for(
size_t j=0UL; j<B.columns(); ++j ) {
731 for(
size_t i=j+1UL; i<A.rows(); ++i ) {
732 C(i,j) =
HERM ?
conj( C(j,i) ) : C(j,i);
754 template<
typename MT3
757 static inline auto selectLargeAssignKernel( MT3& C,
const MT4& A,
const MT5& B )
758 -> EnableIf_t< UseDefaultKernel_v<MT3,MT4,MT5> >
760 selectDefaultAssignKernel( C, A, B );
780 template<
typename MT3
783 static inline auto selectLargeAssignKernel( MT3& C,
const MT4& A,
const MT5& B )
784 -> EnableIf_t< UseOptimizedKernel_v<MT3,MT4,MT5> >
788 const ForwardFunctor fwd;
790 const OppositeType_t<MT4> tmp(
serial( A ) );
791 assign( C, fwd( tmp * B ) );
809 template<
typename MT
812 -> DisableIf_t< CanExploitSymmetry_v<MT,MT1,MT2> >
816 using TmpType = If_t< SO, ResultType, OppositeType >;
828 const ForwardFunctor fwd;
830 const TmpType tmp(
serial( rhs ) );
831 assign( ~lhs, fwd( tmp ) );
851 template<
typename MT
854 -> EnableIf_t< CanExploitSymmetry_v<MT,MT1,MT2> >
863 const ForwardFunctor fwd;
865 if( IsSymmetric_v<MT1> && IsSymmetric_v<MT2> )
866 assign( ~lhs, fwd(
trans( rhs.lhs_ ) *
trans( rhs.rhs_ ) ) );
867 else if( IsSymmetric_v<MT1> )
868 assign( ~lhs, fwd(
trans( rhs.lhs_ ) * rhs.rhs_ ) );
870 assign( ~lhs, fwd( rhs.lhs_ *
trans( rhs.rhs_ ) ) );
888 template<
typename MT
890 friend inline auto addAssign( DenseMatrix<MT,SO>& lhs,
const TSMatTDMatMultExpr& rhs )
891 -> DisableIf_t< CanExploitSymmetry_v<MT,MT1,MT2> >
908 TSMatTDMatMultExpr::selectAddAssignKernel( ~lhs, A, B );
924 template<
typename MT3
927 static inline void selectAddAssignKernel( MT3& C,
const MT4& A,
const MT5& B )
929 const size_t size( C.rows() * C.columns() );
931 if( ( IsRowMajorMatrix_v<MT3> &&
size < TSMATTDMATMULT_THRESHOLD ) ||
932 ( IsColumnMajorMatrix_v<MT3> &&
size < 625UL ) )
933 selectSmallAddAssignKernel( C, A, B );
935 selectLargeAddAssignKernel( C, A, B );
955 template<
typename MT3
958 static inline void selectDefaultAddAssignKernel( MT3& C,
const MT4& A,
const MT5& B )
960 if( IsDiagonal_v<MT5> )
962 for(
size_t i=0UL; i<A.columns(); ++i )
964 const auto end( A.end(i) );
965 auto element( A.begin(i) );
967 for( ; element!=
end; ++element ) {
968 C(element->index(),i) += element->value() * B(i,i);
974 const size_t block( 64UL );
976 for(
size_t jj=0UL; jj<B.columns(); jj+=block )
978 const size_t jpos( ( jj+block > B.columns() )?( B.columns() ):( jj+block ) );
980 for(
size_t i=0UL; i<A.columns(); ++i )
982 const auto end( A.end(i) );
983 auto element( A.begin(i) );
985 for( ; element!=
end; ++element )
987 const size_t i1( element->index() );
989 const size_t jbegin( ( IsUpper_v<MT5> )
991 ?(
max( i1, IsStrictlyUpper_v<MT5> ? i+1UL : i, jj ) )
992 :(
max( IsStrictlyUpper_v<MT5> ? i+1UL : i, jj ) ) )
993 :(
UPP ?
max(i1,jj) : jj ) );
994 const size_t jend( ( IsLower_v<MT5> )
996 ?(
min( i1+1UL, IsStrictlyLower_v<MT5> ? i : i+1UL, jpos ) )
997 :(
min( IsStrictlyLower_v<MT5> ? i : i+1UL, jpos ) ) )
998 :(
LOW ?
min(i1+1UL,jpos) : jpos ) );
1000 if( jbegin >= jend )
1003 for(
size_t j=jbegin; j<jend; ++j ) {
1004 C(i1,j) += element->value() * B(i,j);
1028 template<
typename MT3
1031 static inline auto selectSmallAddAssignKernel( MT3& C,
const MT4& A,
const MT5& B )
1032 -> EnableIf_t< UseDefaultKernel_v<MT3,MT4,MT5> >
1034 selectDefaultAddAssignKernel( C, A, B );
1054 template<
typename MT3
1057 static inline auto selectSmallAddAssignKernel( MT3& C,
const MT4& A,
const MT5& B )
1058 -> EnableIf_t< UseOptimizedKernel_v<MT3,MT4,MT5> >
1060 const size_t block( IsRowMajorMatrix_v<MT3> ? 128UL : 64UL );
1062 for(
size_t jj=0UL; jj<B.columns(); jj+=block )
1064 const size_t jpos( ( jj+block > B.columns() )?( B.columns() ):( jj+block ) );
1066 for(
size_t i=0UL; i<A.columns(); ++i )
1068 const auto end( A.end(i) );
1069 auto element( A.begin(i) );
1071 const size_t nonzeros( A.nonZeros(i) );
1072 const size_t kpos( nonzeros &
size_t(-4) );
1075 for(
size_t k=0UL; k<kpos; k+=4UL )
1077 const size_t i1( element->index() );
1078 const ET1 v1( element->value() );
1080 const size_t i2( element->index() );
1081 const ET1 v2( element->value() );
1083 const size_t i3( element->index() );
1084 const ET1 v3( element->value() );
1086 const size_t i4( element->index() );
1087 const ET1 v4( element->value() );
1092 const size_t jbegin( ( IsUpper_v<MT5> )
1094 ?(
max( i1, IsStrictlyUpper_v<MT5> ? i+1UL : i, jj ) )
1095 :(
max( IsStrictlyUpper_v<MT5> ? i+1UL : i, jj ) ) )
1096 :(
UPP ?
max(i1,jj) : jj ) );
1097 const size_t jend( ( IsLower_v<MT5> )
1099 ?(
min( i4+1UL, IsStrictlyLower_v<MT5> ? i : i+1UL, jpos ) )
1100 :(
min( IsStrictlyLower_v<MT5> ? i : i+1UL, jpos ) ) )
1101 :(
LOW ?
min(i4+1UL,jpos) : jpos ) );
1103 if( jbegin >= jend )
1106 for(
size_t j=jbegin; j<jend; ++j ) {
1107 C(i1,j) += v1 * B(i,j);
1108 C(i2,j) += v2 * B(i,j);
1109 C(i3,j) += v3 * B(i,j);
1110 C(i4,j) += v4 * B(i,j);
1114 for( ; element!=
end; ++element )
1116 const size_t i1( element->index() );
1118 const size_t jbegin( ( IsUpper_v<MT5> )
1120 ?(
max( i1, IsStrictlyUpper_v<MT5> ? i+1UL : i, jj ) )
1121 :(
max( IsStrictlyUpper_v<MT5> ? i+1UL : i, jj ) ) )
1122 :(
UPP ?
max(i1,jj) : jj ) );
1123 const size_t jend( ( IsLower_v<MT5> )
1125 ?(
min( i1+1UL, IsStrictlyLower_v<MT5> ? i : i+1UL, jpos ) )
1126 :(
min( IsStrictlyLower_v<MT5> ? i : i+1UL, jpos ) ) )
1127 :(
LOW ?
min(i1+1UL,jpos) : jpos ) );
1129 if( jbegin >= jend )
1132 for(
size_t j=jbegin; j<jend; ++j ) {
1133 C(i1,j) += element->value() * B(i,j);
1156 template<
typename MT3
1159 static inline auto selectLargeAddAssignKernel( MT3& C,
const MT4& A,
const MT5& B )
1160 -> EnableIf_t< UseDefaultKernel_v<MT3,MT4,MT5> >
1162 selectDefaultAddAssignKernel( C, A, B );
1182 template<
typename MT3
1185 static inline auto selectLargeAddAssignKernel( MT3& C,
const MT4& A,
const MT5& B )
1186 -> EnableIf_t< UseOptimizedKernel_v<MT3,MT4,MT5> >
1190 const ForwardFunctor fwd;
1192 const OppositeType_t<MT4> tmp(
serial( A ) );
1193 addAssign( C, fwd( tmp * B ) );
1213 template<
typename MT
1216 -> EnableIf_t< CanExploitSymmetry_v<MT,MT1,MT2> >
1225 const ForwardFunctor fwd;
1227 if( IsSymmetric_v<MT1> && IsSymmetric_v<MT2> )
1228 addAssign( ~lhs, fwd(
trans( rhs.lhs_ ) *
trans( rhs.rhs_ ) ) );
1229 else if( IsSymmetric_v<MT1> )
1230 addAssign( ~lhs, fwd(
trans( rhs.lhs_ ) * rhs.rhs_ ) );
1232 addAssign( ~lhs, fwd( rhs.lhs_ *
trans( rhs.rhs_ ) ) );
1254 template<
typename MT
1256 friend inline auto subAssign( DenseMatrix<MT,SO>& lhs,
const TSMatTDMatMultExpr& rhs )
1257 -> DisableIf_t< CanExploitSymmetry_v<MT,MT1,MT2> >
1274 TSMatTDMatMultExpr::selectSubAssignKernel( ~lhs, A, B );
1290 template<
typename MT3
1293 static inline void selectSubAssignKernel( MT3& C,
const MT4& A,
const MT5& B )
1295 const size_t size( C.rows() * C.columns() );
1297 if( ( IsRowMajorMatrix_v<MT3> &&
size < TSMATTDMATMULT_THRESHOLD ) ||
1298 ( IsColumnMajorMatrix_v<MT3> &&
size < 625UL ) )
1299 selectSmallSubAssignKernel( C, A, B );
1301 selectLargeSubAssignKernel( C, A, B );
1321 template<
typename MT3
1324 static inline void selectDefaultSubAssignKernel( MT3& C,
const MT4& A,
const MT5& B )
1326 if( IsDiagonal_v<MT5> )
1328 for(
size_t i=0UL; i<A.columns(); ++i )
1330 const auto end( A.end(i) );
1331 auto element( A.begin(i) );
1333 for( ; element!=
end; ++element ) {
1334 C(element->index(),i) -= element->value() * B(i,i);
1340 const size_t block( 64UL );
1342 for(
size_t jj=0UL; jj<B.columns(); jj+=block )
1344 const size_t jpos( ( jj+block > B.columns() )?( B.columns() ):( jj+block ) );
1346 for(
size_t i=0UL; i<A.columns(); ++i )
1348 const auto end( A.end(i) );
1349 auto element( A.begin(i) );
1351 for( ; element!=
end; ++element )
1353 const size_t i1( element->index() );
1355 const size_t jbegin( ( IsUpper_v<MT5> )
1357 ?(
max( i1, IsStrictlyUpper_v<MT5> ? i+1UL : i, jj ) )
1358 :(
max( IsStrictlyUpper_v<MT5> ? i+1UL : i, jj ) ) )
1359 :(
UPP ?
max(i1,jj) : jj ) );
1360 const size_t jend( ( IsLower_v<MT5> )
1362 ?(
min( i1+1UL, IsStrictlyLower_v<MT5> ? i : i+1UL, jpos ) )
1363 :(
min( IsStrictlyLower_v<MT5> ? i : i+1UL, jpos ) ) )
1364 :(
LOW ?
min(i1+1UL,jpos) : jpos ) );
1366 if( jbegin >= jend )
1369 for(
size_t j=jbegin; j<jend; ++j ) {
1370 C(i1,j) -= element->value() * B(i,j);
1394 template<
typename MT3
1397 static inline auto selectSmallSubAssignKernel( MT3& C,
const MT4& A,
const MT5& B )
1398 -> EnableIf_t< UseDefaultKernel_v<MT3,MT4,MT5> >
1400 selectDefaultSubAssignKernel( C, A, B );
1420 template<
typename MT3
1423 static inline auto selectSmallSubAssignKernel( MT3& C,
const MT4& A,
const MT5& B )
1424 -> EnableIf_t< UseOptimizedKernel_v<MT3,MT4,MT5> >
1426 const size_t block( IsRowMajorMatrix_v<MT3> ? 128UL : 64UL );
1428 for(
size_t jj=0UL; jj<B.columns(); jj+=block )
1430 const size_t jpos( ( jj+block > B.columns() )?( B.columns() ):( jj+block ) );
1432 for(
size_t i=0UL; i<A.columns(); ++i )
1434 const auto end( A.end(i) );
1435 auto element( A.begin(i) );
1437 const size_t nonzeros( A.nonZeros(i) );
1438 const size_t kpos( nonzeros &
size_t(-4) );
1441 for(
size_t k=0UL; k<kpos; k+=4UL )
1443 const size_t i1( element->index() );
1444 const ET1 v1( element->value() );
1446 const size_t i2( element->index() );
1447 const ET1 v2( element->value() );
1449 const size_t i3( element->index() );
1450 const ET1 v3( element->value() );
1452 const size_t i4( element->index() );
1453 const ET1 v4( element->value() );
1458 const size_t jbegin( ( IsUpper_v<MT5> )
1460 ?(
max( i1, IsStrictlyUpper_v<MT5> ? i+1UL : i, jj ) )
1461 :(
max( IsStrictlyUpper_v<MT5> ? i+1UL : i, jj ) ) )
1462 :(
UPP ?
max(i1,jj) : jj ) );
1463 const size_t jend( ( IsLower_v<MT5> )
1465 ?(
min( i4+1UL, IsStrictlyLower_v<MT5> ? i : i+1UL, jpos ) )
1466 :(
min( IsStrictlyLower_v<MT5> ? i : i+1UL, jpos ) ) )
1467 :(
LOW ?
min(i4+1UL,jpos) : jpos ) );
1469 if( jbegin >= jend )
1472 for(
size_t j=jbegin; j<jend; ++j ) {
1473 C(i1,j) -= v1 * B(i,j);
1474 C(i2,j) -= v2 * B(i,j);
1475 C(i3,j) -= v3 * B(i,j);
1476 C(i4,j) -= v4 * B(i,j);
1480 for( ; element!=
end; ++element )
1482 const size_t i1( element->index() );
1484 const size_t jbegin( ( IsUpper_v<MT5> )
1486 ?(
max( i1, IsStrictlyUpper_v<MT5> ? i+1UL : i, jj ) )
1487 :(
max( IsStrictlyUpper_v<MT5> ? i+1UL : i, jj ) ) )
1488 :(
UPP ?
max(i1,jj) : jj ) );
1489 const size_t jend( ( IsLower_v<MT5> )
1491 ?(
min( i1+1UL, IsStrictlyLower_v<MT5> ? i : i+1UL, jpos ) )
1492 :(
min( IsStrictlyLower_v<MT5> ? i : i+1UL, jpos ) ) )
1493 :(
LOW ?
min(i1+1UL,jpos) : jpos ) );
1495 if( jbegin >= jend )
1498 for(
size_t j=jbegin; j<jend; ++j ) {
1499 C(i1,j) -= element->value() * B(i,j);
1522 template<
typename MT3
1525 static inline auto selectLargeSubAssignKernel( MT3& C,
const MT4& A,
const MT5& B )
1526 -> EnableIf_t< UseDefaultKernel_v<MT3,MT4,MT5> >
1528 selectDefaultSubAssignKernel( C, A, B );
1548 template<
typename MT3
1551 static inline auto selectLargeSubAssignKernel( MT3& C,
const MT4& A,
const MT5& B )
1552 -> EnableIf_t< UseOptimizedKernel_v<MT3,MT4,MT5> >
1556 const ForwardFunctor fwd;
1558 const OppositeType_t<MT4> tmp(
serial( A ) );
1559 subAssign( C, fwd( tmp * B ) );
1579 template<
typename MT
1582 -> EnableIf_t< CanExploitSymmetry_v<MT,MT1,MT2> >
1591 const ForwardFunctor fwd;
1593 if( IsSymmetric_v<MT1> && IsSymmetric_v<MT2> )
1594 subAssign( ~lhs, fwd(
trans( rhs.lhs_ ) *
trans( rhs.rhs_ ) ) );
1595 else if( IsSymmetric_v<MT1> )
1596 subAssign( ~lhs, fwd(
trans( rhs.lhs_ ) * rhs.rhs_ ) );
1598 subAssign( ~lhs, fwd( rhs.lhs_ *
trans( rhs.rhs_ ) ) );
1620 template<
typename MT
1622 friend inline void schurAssign( DenseMatrix<MT,SO>& lhs,
const TSMatTDMatMultExpr& rhs )
1634 schurAssign( ~lhs, tmp );
1667 template<
typename MT
1670 -> EnableIf_t< IsEvaluationRequired_v<MT,MT1,MT2> >
1708 template<
typename MT
1711 -> EnableIf_t< IsEvaluationRequired_v<MT,MT1,MT2> >
1715 using TmpType = If_t< SO, ResultType, OppositeType >;
1727 const ForwardFunctor fwd;
1729 const TmpType tmp( rhs );
1750 template<
typename MT
1753 -> EnableIf_t< CanExploitSymmetry_v<MT,MT1,MT2> >
1762 const ForwardFunctor fwd;
1764 if( IsSymmetric_v<MT1> && IsSymmetric_v<MT2> )
1766 else if( IsSymmetric_v<MT1> )
1790 template<
typename MT
1793 -> EnableIf_t< IsEvaluationRequired_v<MT,MT1,MT2> >
1830 template<
typename MT
1833 -> EnableIf_t< CanExploitSymmetry_v<MT,MT1,MT2> >
1842 const ForwardFunctor fwd;
1844 if( IsSymmetric_v<MT1> && IsSymmetric_v<MT2> )
1846 else if( IsSymmetric_v<MT1> )
1874 template<
typename MT
1877 -> EnableIf_t< IsEvaluationRequired_v<MT,MT1,MT2> >
1914 template<
typename MT
1917 -> EnableIf_t< CanExploitSymmetry_v<MT,MT1,MT2> >
1926 const ForwardFunctor fwd;
1928 if( IsSymmetric_v<MT1> && IsSymmetric_v<MT2> )
1930 else if( IsSymmetric_v<MT1> )
1955 template<
typename MT
2021 template<
typename MT1
2024 IsSame_v< ElementType_t<MT1>, ElementType_t<MT2> > ) ||
2025 IsZero_v<MT1> >* =
nullptr >
2026 inline const TSMatTDMatMultExpr<MT1,MT2,false,false,false,false>
2027 tsmattdmatmult(
const SparseMatrix<MT1,true>& lhs,
const DenseMatrix<MT2,true>& rhs )
2033 return TSMatTDMatMultExpr<MT1,MT2,false,false,false,false>( ~lhs, ~rhs );
2053 template<
typename MT1
2055 , EnableIf_t< IsIdentity_v<MT1> &&
2056 IsSame_v< ElementType_t<MT1>, ElementType_t<MT2> > >* =
nullptr >
2058 tsmattdmatmult(
const SparseMatrix<MT1,true>& lhs,
const DenseMatrix<MT2,true>& rhs )
2085 template<
typename MT1
2087 , EnableIf_t< IsZero_v<MT1> >* =
nullptr >
2088 inline decltype(
auto)
2089 tsmattdmatmult( const SparseMatrix<MT1,true>& lhs, const DenseMatrix<MT2,true>& rhs )
2095 using ReturnType =
const MultTrait_t< ResultType_t<MT1>, ResultType_t<MT2> >;
2100 return ReturnType( (~lhs).
rows(), (~rhs).
columns() );
2135 template<
typename MT1
2137 inline decltype(
auto)
2146 return tsmattdmatmult( ~lhs, ~rhs );
2183 template<
typename MT1
2189 inline decltype(
auto)
declsym( const TSMatTDMatMultExpr<MT1,MT2,SF,HF,LF,UF>& dm )
2197 using ReturnType =
const TSMatTDMatMultExpr<MT1,MT2,true,HF,LF,UF>;
2198 return ReturnType( dm.leftOperand(), dm.rightOperand() );
2228 template<
typename MT1
2234 inline decltype(
auto)
declherm( const TSMatTDMatMultExpr<MT1,MT2,SF,HF,LF,UF>& dm )
2242 using ReturnType =
const TSMatTDMatMultExpr<MT1,MT2,SF,true,LF,UF>;
2243 return ReturnType( dm.leftOperand(), dm.rightOperand() );
2273 template<
typename MT1
2279 inline decltype(
auto)
decllow( const TSMatTDMatMultExpr<MT1,MT2,SF,HF,LF,UF>& dm )
2287 using ReturnType =
const TSMatTDMatMultExpr<MT1,MT2,SF,HF,true,UF>;
2288 return ReturnType( dm.leftOperand(), dm.rightOperand() );
2318 template<
typename MT1
2324 inline decltype(
auto)
declupp( const TSMatTDMatMultExpr<MT1,MT2,SF,HF,LF,UF>& dm )
2332 using ReturnType =
const TSMatTDMatMultExpr<MT1,MT2,SF,HF,LF,true>;
2333 return ReturnType( dm.leftOperand(), dm.rightOperand() );
2363 template<
typename MT1
2369 inline decltype(
auto)
decldiag( const TSMatTDMatMultExpr<MT1,MT2,SF,HF,LF,UF>& dm )
2377 using ReturnType =
const TSMatTDMatMultExpr<MT1,MT2,SF,HF,true,true>;
2378 return ReturnType( dm.leftOperand(), dm.rightOperand() );
2394 template<
typename MT1,
typename MT2,
bool SF,
bool HF,
bool LF,
bool UF >
2395 struct Size< TSMatTDMatMultExpr<MT1,MT2,SF,HF,LF,UF>, 0UL >
2396 :
public Size<MT1,0UL>
2399 template<
typename MT1,
typename MT2,
bool SF,
bool HF,
bool LF,
bool UF >
2400 struct Size< TSMatTDMatMultExpr<MT1,MT2,SF,HF,LF,UF>, 1UL >
2401 :
public Size<MT2,1UL>
2417 template<
typename MT1,
typename MT2,
bool SF,
bool HF,
bool LF,
bool UF >
2418 struct IsAligned< TSMatTDMatMultExpr<MT1,MT2,SF,HF,LF,UF> >
2419 :
public IsAligned<MT2>
ResultType_t< MT2 > RT2
Result type of the right-hand side dense matrix expression.
Definition: TSMatTDMatMultExpr.h:135
If_t< evaluateRight, const RT2, CT2 > RT
Type for the assignment of the right-hand side dense matrix operand.
Definition: TSMatTDMatMultExpr.h:263
#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:133
Headerfile for the generic min algorithm.
Header file for the blaze::checked and blaze::unchecked instances.
Header file for the decldiag trait.
bool canSMPAssign() const noexcept
Returns whether the expression can be used in SMP assignments.
Definition: TSMatTDMatMultExpr.h:435
decltype(auto) decldiag(const DenseMatrix< MT, SO > &dm)
Declares the given dense matrix expression dm as diagonal.
Definition: DMatDeclDiagExpr.h:975
Header file for basic type definitions.
Expression object for transpose sparse matrix-transpose dense matrix multiplications....
Definition: Forward.h:188
typename If< Condition, T1, T2 >::Type If_t
Auxiliary alias template for the If class template.The If_t alias template provides a convenient shor...
Definition: If.h:109
Header file for the declherm trait.
typename T::ResultType ResultType_t
Alias declaration for nested ResultType type definitions.The ResultType_t alias declaration provides ...
Definition: Aliases.h:390
static constexpr bool LOW
Flag for lower matrices.
Definition: TSMatTDMatMultExpr.h:155
Header file for the serial shim.
static constexpr bool evaluateLeft
Compilation switch for the composite type of the left-hand side sparse matrix expression.
Definition: TSMatTDMatMultExpr.h:144
Header file for the IsDiagonal type trait.
Base template for the DeclUppTrait class.
Definition: DeclUppTrait.h:134
CompositeType_t< MT1 > CT1
Composite type of the left-hand side sparse matrix expression.
Definition: TSMatTDMatMultExpr.h:138
#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
bool isAligned() const noexcept
Returns whether the operands of the expression are properly aligned in memory.
Definition: TSMatTDMatMultExpr.h:425
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:415
MT::Iterator begin(Matrix< MT, SO > &matrix, size_t i)
Returns an iterator to the first element of row/column i.
Definition: Matrix.h:372
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:595
constexpr Unchecked unchecked
Global Unchecked instance.The blaze::unchecked instance is an optional token for the creation of view...
Definition: Check.h:138
Constraint on the data type.
decltype(auto) subvector(Vector< VT, TF > &, RSAs...)
Creating a view on a specific subvector of the given vector.
Definition: Subvector.h:154
Header file for the MAYBE_UNUSED function template.
Header file for the IsIdentity type trait.
decltype(auto) declupp(const DenseMatrix< MT, SO > &dm)
Declares the given dense matrix expression dm as upper.
Definition: DMatDeclUppExpr.h:1001
Header file for the Computation base class.
Header file for the MatMatMultExpr base class.
Header file for the reset shim.
Constraints on the storage order of matrix types.
static constexpr bool simdEnabled
Compilation switch for the expression template evaluation strategy.
Definition: TSMatTDMatMultExpr.h:268
Header file for the RequiresEvaluation type trait.
System settings for performance optimizations.
constexpr size_t columns(const Matrix< MT, SO > &matrix) noexcept
Returns the current number of columns of the matrix.
Definition: Matrix.h:514
RightOperand rhs_
Right-hand side dense matrix of the multiplication expression.
Definition: TSMatTDMatMultExpr.h:443
Base class for dense matrices.The DenseMatrix class is a base class for all dense matrix classes....
Definition: DenseMatrix.h:81
Base class for sparse matrices.The SparseMatrix class is a base class for all sparse matrix classes....
Definition: Forward.h:145
typename T::ElementType ElementType_t
Alias declaration for nested ElementType type definitions.The ElementType_t alias declaration provide...
Definition: Aliases.h:170
const ResultType CompositeType
Data type for composite expression templates.
Definition: TSMatTDMatMultExpr.h:251
Constraint on the data type.
Constraint on the data type.
bool canAlias(const T *alias) const noexcept
Returns whether the expression can alias with the given address alias.
Definition: TSMatTDMatMultExpr.h:403
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.
static constexpr bool smpAssignable
Compilation switch for the expression template assignment strategy.
Definition: TSMatTDMatMultExpr.h:271
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_t< IsExpression_v< MT1 >, const MT1, const MT1 & > LeftOperand
Composite type of the left-hand side sparse matrix expression.
Definition: TSMatTDMatMultExpr.h:254
#define BLAZE_CONSTRAINT_MUST_BE_ZERO_TYPE(T)
Constraint on the data type.In case the given data type T is not a zero vector or matrix type,...
Definition: Zero.h:61
static constexpr bool UPP
Flag for upper matrices.
Definition: TSMatTDMatMultExpr.h:156
Generic wrapper for the decllow() function.
Definition: DeclLow.h:59
decltype(auto) min(const DenseMatrix< MT1, SO1 > &lhs, const DenseMatrix< MT2, SO2 > &rhs)
Computes the componentwise minimum of the dense matrices lhs and rhs.
Definition: DMatDMatMapExpr.h:1162
ReturnType operator()(size_t i, size_t j) const
2D-access to the matrix elements.
Definition: TSMatTDMatMultExpr.h:296
Header file for the decllow trait.
#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:442
If_t< evaluateLeft, const RT1, CT1 > LT
Type for the assignment of the left-hand side sparse matrix operand.
Definition: TSMatTDMatMultExpr.h:260
static constexpr bool evaluateRight
Compilation switch for the composite type of the right-hand side dense matrix expression.
Definition: TSMatTDMatMultExpr.h:149
TSMatTDMatMultExpr(const MT1 &lhs, const MT2 &rhs) noexcept
Constructor for the TSMatTDMatMultExpr class.
Definition: TSMatTDMatMultExpr.h:281
decltype(auto) decllow(const DenseMatrix< MT, SO > &dm)
Declares the given dense matrix expression dm as lower.
Definition: DMatDeclLowExpr.h:1001
Header file for the IsLower type trait.
constexpr void MAYBE_UNUSED(const Args &...)
Suppression of unused parameter warnings.
Definition: MaybeUnused.h:81
Header file for the IsAligned type trait.
ResultType_t< MT1 > RT1
Result type of the left-hand side sparse matrix expression.
Definition: TSMatTDMatMultExpr.h:134
static constexpr bool SYM
Flag for symmetric matrices.
Definition: TSMatTDMatMultExpr.h:153
Generic wrapper for the null function.
Definition: Noop.h:60
Header file for the IsTriangular type trait.
size_t rows() const noexcept
Returns the current number of rows of the matrix.
Definition: TSMatTDMatMultExpr.h:361
Base template for the DeclSymTrait class.
Definition: DeclSymTrait.h:134
LeftOperand leftOperand() const noexcept
Returns the left-hand side transpose sparse matrix operand.
Definition: TSMatTDMatMultExpr.h:381
Constraints on the storage order of matrix types.
ElementType_t< RT1 > ET1
Element type of the left-hand side dense matrix expression.
Definition: TSMatTDMatMultExpr.h:136
Header file for the exception macros of the math module.
typename If_t< HERM, DeclHermTrait< MultTrait_t< RT1, RT2 > >, If_t< SYM, DeclSymTrait< MultTrait_t< RT1, RT2 > >, If_t< LOW, If_t< UPP, DeclDiagTrait< MultTrait_t< RT1, RT2 > >, DeclLowTrait< MultTrait_t< RT1, RT2 > > >, If_t< UPP, DeclUppTrait< MultTrait_t< RT1, RT2 > >, MultTrait< RT1, RT2 > > > > >::Type ResultType
Result type for expression template evaluations.
Definition: TSMatTDMatMultExpr.h:245
decltype(auto) max(const DenseMatrix< MT1, SO1 > &lhs, const DenseMatrix< MT2, SO2 > &rhs)
Computes the componentwise maximum of the dense matrices lhs and rhs.
Definition: DMatDMatMapExpr.h:1198
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:438
Header file for the DeclDiag functor.
Constraint on the data type.
const ElementType ReturnType
Return type for expression template evaluations.
Definition: TSMatTDMatMultExpr.h:250
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:103
TransposeType_t< ResultType > TransposeType
Transpose type for expression template evaluations.
Definition: TSMatTDMatMultExpr.h:248
typename T::OppositeType OppositeType_t
Alias declaration for nested OppositeType type definitions.The OppositeType_t alias declaration provi...
Definition: Aliases.h:270
Header file for the conjugate shim.
Header file for the declupp trait.
#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,...
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
CompositeType_t< MT2 > CT2
Composite type of the right-hand side dense matrix expression.
Definition: TSMatTDMatMultExpr.h:139
typename T::TransposeType TransposeType_t
Alias declaration for nested TransposeType type definitions.The TransposeType_t alias declaration pro...
Definition: Aliases.h:470
Header file for run time assertion macros.
Base template for the DeclHermTrait class.
Definition: DeclHermTrait.h:134
typename T::CompositeType CompositeType_t
Alias declaration for nested CompositeType type definitions.The CompositeType_t alias declaration pro...
Definition: Aliases.h:90
Base template for the MultTrait class.
Definition: MultTrait.h:146
auto smpAddAssign(Matrix< MT1, SO1 > &lhs, const Matrix< MT2, SO2 > &rhs) -> EnableIf_t< IsDenseMatrix_v< MT1 > >
Default implementation of the SMP addition assignment of a matrix to a dense matrix.
Definition: DenseMatrix.h:131
OppositeType_t< ResultType > OppositeType
Result type with opposite storage order for expression template evaluations.
Definition: TSMatTDMatMultExpr.h:247
decltype(auto) row(Matrix< MT, SO > &, RRAs...)
Creating a view on a specific row of the given matrix.
Definition: Row.h:133
Header file for the IsZero type trait.
Header file for the declsym trait.
#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
Header file for all forward declarations for expression class templates.
ElementType_t< ResultType > ElementType
Resulting element type.
Definition: TSMatTDMatMultExpr.h:249
decltype(auto) declsym(const DenseMatrix< MT, SO > &dm)
Declares the given dense matrix expression dm as symmetric.
Definition: DMatDeclSymExpr.h:1002
Header file for the isDefault shim.
constexpr size_t size(const Matrix< MT, SO > &matrix) noexcept
Returns the total number of elements of the matrix.
Definition: Matrix.h:530
auto smpAssign(Matrix< MT1, SO1 > &lhs, const Matrix< MT2, SO2 > &rhs) -> EnableIf_t< IsDenseMatrix_v< MT1 > >
Default implementation of the SMP assignment of a matrix to a dense matrix.
Definition: DenseMatrix.h:100
Constraint on the data type.
Constraints on the storage order of matrix types.
Generic wrapper for the declherm() function.
Definition: DeclHerm.h:59
decltype(auto) serial(const DenseMatrix< MT, SO > &dm)
Forces the serial evaluation of the given dense matrix expression dm.
Definition: DMatSerialExpr.h:808
Header file for the Noop functor.
#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
auto smpSchurAssign(Matrix< MT1, SO1 > &lhs, const Matrix< MT2, SO2 > &rhs) -> EnableIf_t< IsDenseMatrix_v< MT1 > >
Default implementation of the SMP Schur product assignment of a matrix to dense matrix.
Definition: DenseMatrix.h:194
constexpr size_t rows(const Matrix< MT, SO > &matrix) noexcept
Returns the current number of rows of the matrix.
Definition: Matrix.h:498
ElementType_t< RT2 > ET2
Element type of the right-hand side sparse matrix expression.
Definition: TSMatTDMatMultExpr.h:137
static constexpr bool HERM
Flag for Hermitian matrices.
Definition: TSMatTDMatMultExpr.h:154
#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:59
decltype(auto) trans(const DenseMatrix< MT, SO > &dm)
Calculation of the transpose of the given dense matrix.
Definition: DMatTransExpr.h:765
Base template for the DeclLowTrait class.
Definition: DeclLowTrait.h:134
decltype(auto) declherm(const DenseMatrix< MT, SO > &dm)
Declares the given dense matrix expression dm as Hermitian.
Definition: DMatDeclHermExpr.h:1002
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:391
Header file for the IsBuiltin type trait.
auto smpSubAssign(Matrix< MT1, SO1 > &lhs, const Matrix< MT2, SO2 > &rhs) -> EnableIf_t< IsDenseMatrix_v< MT1 > >
Default implementation of the SMP subtraction assignment of a matrix to dense matrix.
Definition: DenseMatrix.h:162
size_t columns() const noexcept
Returns the current number of columns of the matrix.
Definition: TSMatTDMatMultExpr.h:371
If_t< IsExpression_v< MT2 >, const MT2, const MT2 & > RightOperand
Composite type of the right-hand side dense matrix expression.
Definition: TSMatTDMatMultExpr.h:257
Header file for the IntegralConstant class template.
Generic wrapper for the decldiag() function.
Definition: DeclDiag.h:59
Header file for the DeclHerm functor.
bool isDefault(const DiagonalProxy< MT > &proxy)
Returns whether the represented element is in default state.
Definition: DiagonalProxy.h:635
Header file for the IsUpper type trait.
typename DisableIf< Condition, T >::Type DisableIf_t
Auxiliary type for the DisableIf class template.The DisableIf_t alias declaration provides a convenie...
Definition: DisableIf.h:138
decltype(auto) conj(const DenseMatrix< MT, SO > &dm)
Returns a matrix containing the complex conjugate of each single element of dm.
Definition: DMatMapExpr.h:1324
Constraint on the data type.
Generic wrapper for the declsym() function.
Definition: DeclSym.h:59
Base template for the DeclDiagTrait class.
Definition: DeclDiagTrait.h:134
bool isSquare(const Matrix< MT, SO > &matrix) noexcept
Checks if the given matrix is a square matrix.
Definition: Matrix.h:951
Header file for the IsResizable type trait.
Header file for the Size type trait.
#define BLAZE_CONSTRAINT_MUST_NOT_BE_ZERO_TYPE(T)
Constraint on the data type.In case the given data type T is a zero vector or matrix type,...
Definition: Zero.h:81
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,...
Definition: Assert.h:101
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:345