35 #ifndef _BLAZE_MATH_EXPRESSIONS_DVECSCALARMULTEXPR_H_
36 #define _BLAZE_MATH_EXPRESSIONS_DVECSCALARMULTEXPR_H_
114 template<
typename VT
153 template<
typename VT2 >
156 enum :
bool { value = useAssign };
169 template<
typename VT2 >
170 struct UseSMPAssign {
171 enum :
bool { value = ( !VT2::smpAssignable || !VT::smpAssignable ) && useAssign };
227 : iterator_( iterator )
313 inline auto load() const noexcept {
441 enum :
bool { simdEnabled = VT::simdEnabled &&
447 enum :
bool { smpAssignable = VT::smpAssignable };
486 inline ReturnType
at(
size_t index )
const {
487 if( index >=
vector_.size() ) {
490 return (*
this)[index];
532 inline size_t size() const noexcept {
563 template<
typename T >
564 inline bool canAlias(
const T* alias )
const noexcept {
575 template<
typename T >
576 inline bool isAliased(
const T* alias )
const noexcept {
577 return vector_.isAliased( alias );
597 return vector_.canSMPAssign() || (
size() > SMP_DVECSCALARMULT_THRESHOLD );
621 template<
typename VT2 >
630 assign( ~lhs, (~lhs) * rhs.
scalar_ );
649 template<
typename VT2 >
677 template<
typename VT2 >
678 friend inline EnableIf_< UseAssign<VT2> >
689 const ResultType tmp(
serial( rhs ) );
690 addAssign( ~lhs, tmp );
713 template<
typename VT2 >
714 friend inline EnableIf_< UseAssign<VT2> >
725 const ResultType tmp(
serial( rhs ) );
726 subAssign( ~lhs, tmp );
749 template<
typename VT2 >
750 friend inline EnableIf_< UseAssign<VT2> >
761 const ResultType tmp(
serial( rhs ) );
762 multAssign( ~lhs, tmp );
785 template<
typename VT2 >
786 friend inline EnableIf_< UseAssign<VT2> >
797 const ResultType tmp(
serial( rhs ) );
798 divAssign( ~lhs, tmp );
821 template<
typename VT2 >
822 friend inline EnableIf_< UseSMPAssign<VT2> >
849 template<
typename VT2 >
850 friend inline EnableIf_< UseSMPAssign<VT2> >
858 (~lhs) *= rhs.scalar_;
877 template<
typename VT2 >
878 friend inline EnableIf_< UseSMPAssign<VT2> >
889 const ResultType tmp( rhs );
913 template<
typename VT2 >
914 friend inline EnableIf_< UseSMPAssign<VT2> >
925 const ResultType tmp( rhs );
949 template<
typename VT2 >
950 friend inline EnableIf_< UseSMPAssign<VT2> >
961 const ResultType tmp( rhs );
985 template<
typename VT2 >
986 friend inline EnableIf_< UseSMPAssign<VT2> >
997 const ResultType tmp( rhs );
1044 template<
typename VT
1046 inline const DVecScalarMultExpr<VT,UnderlyingBuiltin_<VT>,TF>
1087 template<
typename T1
1090 inline const EnableIf_< IsNumeric<T2>, MultExprTrait_<T1,T2> >
1122 template<
typename T1
1125 inline const EnableIf_< IsNumeric<T1>, MultExprTrait_<T1,T2> >
1161 template<
typename VT
1163 inline const DVecScalarMultExpr<VT,ElementType_<VT>,TF>
1170 const ElementType len (
length( ~vec ) );
1198 template<
typename VT
1201 inline const DVecScalarMultExpr<VT,ST,TF>
1202 operator-(
const DVecScalarMultExpr<VT,ST,TF>& dv )
1206 return DVecScalarMultExpr<VT,ST,TF>( dv.leftOperand(), -dv.rightOperand() );
1233 template<
typename VT
1237 inline const EnableIf_< IsNumeric<ST2>, MultExprTrait_< DVecScalarMultExpr<VT,ST1,TF>, ST2 > >
1238 operator*(
const DVecScalarMultExpr<VT,ST1,TF>& vec, ST2 scalar )
1242 return vec.leftOperand() * ( vec.rightOperand() * scalar );
1261 template<
typename ST1
1265 inline const EnableIf_< IsNumeric<ST1>, MultExprTrait_< ST1, DVecScalarMultExpr<VT,ST2,TF> > >
1266 operator*( ST1 scalar,
const DVecScalarMultExpr<VT,ST2,TF>& vec )
1270 return vec.leftOperand() * ( scalar * vec.rightOperand() );
1289 template<
typename VT
1293 inline const EnableIf_< And< IsNumeric<ST2>, Or< IsInvertible<ST1>, IsInvertible<ST2> > >
1294 , DivExprTrait_< DVecScalarMultExpr<VT,ST1,TF>, ST2 > >
1295 operator/(
const DVecScalarMultExpr<VT,ST1,TF>& vec, ST2 scalar )
1299 return vec.leftOperand() * ( vec.rightOperand() / scalar );
1319 template<
typename VT1
1323 inline const MultExprTrait_< DVecScalarMultExpr<VT1,ST,TF>, VT2 >
1324 operator*(
const DVecScalarMultExpr<VT1,ST,TF>& lhs,
const DenseVector<VT2,TF>& rhs )
1328 return ( lhs.leftOperand() * (~rhs) ) * lhs.rightOperand();
1348 template<
typename VT1
1352 inline const MultExprTrait_< VT1, DVecScalarMultExpr<VT2,ST,TF> >
1353 operator*(
const DenseVector<VT1,TF>& lhs,
const DVecScalarMultExpr<VT2,ST,TF>& rhs )
1357 return ( (~lhs) * rhs.leftOperand() ) * rhs.rightOperand();
1377 template<
typename VT1
1382 inline const MultExprTrait_< DVecScalarMultExpr<VT1,ST1,TF>, DVecScalarMultExpr<VT2,ST2,TF> >
1383 operator*(
const DVecScalarMultExpr<VT1,ST1,TF>& lhs,
const DVecScalarMultExpr<VT2,ST2,TF>& rhs )
1387 return ( lhs.leftOperand() * rhs.leftOperand() ) * ( lhs.rightOperand() * rhs.rightOperand() );
1407 template<
typename VT1
1410 inline const MultExprTrait_< DVecScalarMultExpr<VT1,ST,false>, VT2 >
1411 operator*(
const DVecScalarMultExpr<VT1,ST,false>& lhs,
const DenseVector<VT2,true>& rhs )
1415 return ( lhs.leftOperand() * (~rhs) ) * lhs.rightOperand();
1435 template<
typename VT1
1438 inline const MultExprTrait_< VT1, DVecScalarMultExpr<VT2,ST,true> >
1439 operator*(
const DenseVector<VT1,false>& lhs,
const DVecScalarMultExpr<VT2,ST,true>& rhs )
1443 return ( (~lhs) * rhs.leftOperand() ) * rhs.rightOperand();
1463 template<
typename VT1
1467 inline const MultExprTrait_< DVecScalarMultExpr<VT1,ST1,false>, DVecScalarMultExpr<VT2,ST2,true> >
1468 operator*(
const DVecScalarMultExpr<VT1,ST1,false>& lhs,
const DVecScalarMultExpr<VT2,ST2,true>& rhs )
1472 return ( lhs.leftOperand() * rhs.leftOperand() ) * ( lhs.rightOperand() * rhs.rightOperand() );
1492 template<
typename VT1
1496 inline const MultExprTrait_< DVecScalarMultExpr<VT1,ST,TF>, VT2 >
1497 operator*(
const DVecScalarMultExpr<VT1,ST,TF>& lhs,
const SparseVector<VT2,TF>& rhs )
1501 return ( lhs.leftOperand() * (~rhs) ) * lhs.rightOperand();
1521 template<
typename VT1
1525 inline const MultExprTrait_< VT1, DVecScalarMultExpr<VT2,ST,TF> >
1526 operator*(
const SparseVector<VT1,TF>& lhs,
const DVecScalarMultExpr<VT2,ST,TF>& rhs )
1530 return ( (~lhs) * rhs.leftOperand() ) * rhs.rightOperand();
1551 template<
typename VT1
1556 inline const MultExprTrait_< DVecScalarMultExpr<VT1,ST1,TF>, SVecScalarMultExpr<VT2,ST2,TF> >
1557 operator*(
const DVecScalarMultExpr<VT1,ST1,TF>& lhs,
const SVecScalarMultExpr<VT2,ST2,TF>& rhs )
1561 return ( lhs.leftOperand() * rhs.leftOperand() ) * ( lhs.rightOperand() * rhs.rightOperand() );
1582 template<
typename VT1
1587 inline const MultExprTrait_< SVecScalarMultExpr<VT1,ST1,TF>, DVecScalarMultExpr<VT2,ST2,TF> >
1588 operator*(
const SVecScalarMultExpr<VT1,ST1,TF>& lhs,
const DVecScalarMultExpr<VT2,ST2,TF>& rhs )
1592 return ( lhs.leftOperand() * rhs.leftOperand() ) * ( lhs.rightOperand() * rhs.rightOperand() );
1612 template<
typename VT1
1615 inline const MultExprTrait_< DVecScalarMultExpr<VT1,ST,false>, VT2 >
1616 operator*(
const DVecScalarMultExpr<VT1,ST,false>& lhs,
const SparseVector<VT2,true>& rhs )
1620 return ( lhs.leftOperand() * (~rhs) ) * lhs.rightOperand();
1640 template<
typename VT1
1643 inline const MultExprTrait_< VT1, DVecScalarMultExpr<VT2,ST,true> >
1644 operator*(
const SparseVector<VT1,false>& lhs,
const DVecScalarMultExpr<VT2,ST,true>& rhs )
1648 return ( (~lhs) * rhs.leftOperand() ) * rhs.rightOperand();
1669 template<
typename VT1
1673 inline const MultExprTrait_< DVecScalarMultExpr<VT1,ST1,false>, SVecScalarMultExpr<VT2,ST2,true> >
1674 operator*(
const DVecScalarMultExpr<VT1,ST1,false>& lhs,
const SVecScalarMultExpr<VT2,ST2,true>& rhs )
1678 return ( lhs.leftOperand() * rhs.leftOperand() ) * ( lhs.rightOperand() * rhs.rightOperand() );
1699 template<
typename VT1
1703 inline const MultExprTrait_< SVecScalarMultExpr<VT1,ST1,false>, DVecScalarMultExpr<VT2,ST2,true> >
1704 operator*(
const SVecScalarMultExpr<VT1,ST1,false>& lhs,
const DVecScalarMultExpr<VT2,ST2,true>& rhs )
1708 return ( lhs.leftOperand() * rhs.leftOperand() ) * ( lhs.rightOperand() * rhs.rightOperand() );
1728 template<
typename MT
1732 inline const MultExprTrait_< MT, DVecScalarMultExpr<VT,ST,false> >
1733 operator*(
const DenseMatrix<MT,SO>& mat,
const DVecScalarMultExpr<VT,ST,false>& vec )
1737 return ( (~mat) * vec.leftOperand() ) * vec.rightOperand();
1757 template<
typename VT
1761 inline const MultExprTrait_< DVecScalarMultExpr<VT,ST,true>, MT >
1762 operator*(
const DVecScalarMultExpr<VT,ST,true>& vec,
const DenseMatrix<MT,SO>& mat )
1766 return ( vec.leftOperand() * (~mat) ) * vec.rightOperand();
1786 template<
typename MT
1790 inline const MultExprTrait_< MT, DVecScalarMultExpr<VT,ST,false> >
1791 operator*(
const SparseMatrix<MT,SO>& mat,
const DVecScalarMultExpr<VT,ST,false>& vec )
1795 return ( (~mat) * vec.leftOperand() ) * vec.rightOperand();
1815 template<
typename VT
1819 inline const MultExprTrait_< DVecScalarMultExpr<VT,ST,true>, MT >
1820 operator*(
const DVecScalarMultExpr<VT,ST,true>& vec,
const SparseMatrix<MT,SO>& mat )
1824 return ( vec.leftOperand() * (~mat) ) * vec.rightOperand();
1840 template<
typename VT,
typename ST,
bool TF >
1857 template<
typename VT,
typename ST,
bool TF >
1875 template<
typename VT,
typename ST,
bool TF >
1893 template<
typename VT,
typename ST1,
typename ST2 >
1898 using Type = If_< And< IsDenseVector<VT>, IsColumnVector<VT>
1899 , IsNumeric<ST1>, IsNumeric<ST2> >
1900 , DVecScalarMultExprTrait_< VT, MultTrait_<ST1,ST2> >
1918 template<
typename VT,
typename ST1,
typename ST2 >
1923 using Type = If_< And< IsDenseVector<VT>, IsRowVector<VT>
1924 , IsNumeric<ST1>, IsNumeric<ST2> >
1925 , TDVecScalarMultExprTrait_< VT, MultTrait_<ST1,ST2> >
1943 template<
typename VT,
typename ST1,
typename ST2 >
1948 typedef DivTrait_<ST1,ST2> ScalarType;
1953 using Type = If_< And< IsDenseVector<VT>, IsColumnVector<VT>
1954 , IsNumeric<ST1>, IsNumeric<ST2> >
1955 , If_< IsInvertible<ScalarType>
1956 , DVecScalarMultExprTrait_<VT,ScalarType>
1957 , DVecScalarDivExprTrait_<VT,ScalarType> >
1975 template<
typename VT,
typename ST1,
typename ST2 >
1980 typedef DivTrait_<ST1,ST2> ScalarType;
1985 using Type = If_< And< IsDenseVector<VT>, IsRowVector<VT>
1986 , IsNumeric<ST1>, IsNumeric<ST2> >
1987 , If_< IsInvertible<ScalarType>
1988 , TDVecScalarMultExprTrait_<VT,ScalarType>
1989 , TDVecScalarDivExprTrait_<VT,ScalarType> >
2007 template<
typename VT1,
typename ST,
typename VT2 >
2012 using Type = If_< And< IsDenseVector<VT1>, IsColumnVector<VT1>
2013 , IsDenseVector<VT2>, IsColumnVector<VT2>
2015 , DVecScalarMultExprTrait_< DVecDVecMultExprTrait_<VT1,VT2>, ST >
2025 template<
typename VT1,
typename VT2,
typename ST >
2030 using Type = If_< And< IsDenseVector<VT1>, IsColumnVector<VT1>
2031 , IsDenseVector<VT2>, IsColumnVector<VT2>
2033 , DVecScalarMultExprTrait_< DVecDVecMultExprTrait_<VT1,VT2>, ST >
2043 template<
typename VT1,
typename ST1,
typename VT2,
typename ST2 >
2048 using Type = If_< And< IsDenseVector<VT1>, IsColumnVector<VT1>
2049 , IsDenseVector<VT2>, IsColumnVector<VT2>
2050 , IsNumeric<ST1>, IsNumeric<ST2> >
2051 , DVecScalarMultExprTrait_< DVecDVecMultExprTrait_<VT1,VT2>, MultTrait_<ST1,ST2> >
2069 template<
typename VT1,
typename ST,
typename VT2 >
2074 using Type = If_< And< IsDenseVector<VT1>, IsColumnVector<VT1>
2075 , IsDenseVector<VT2>, IsRowVector<VT2>
2077 , DMatScalarMultExprTrait_< DVecTDVecMultExprTrait_<VT1,VT2>, ST >
2087 template<
typename VT1,
typename VT2,
typename ST >
2092 using Type = If_< And< IsDenseVector<VT1>, IsColumnVector<VT1>
2093 , IsDenseVector<VT2>, IsRowVector<VT2>
2095 , DMatScalarMultExprTrait_< DVecTDVecMultExprTrait_<VT1,VT2>, ST >
2105 template<
typename VT1,
typename ST1,
typename VT2,
typename ST2 >
2110 using Type = If_< And< IsDenseVector<VT1>, IsColumnVector<VT1>
2111 , IsDenseVector<VT2>, IsRowVector<VT2>
2112 , IsNumeric<ST1>, IsNumeric<ST2> >
2113 , DMatScalarMultExprTrait_< DVecTDVecMultExprTrait_<VT1,VT2>, MultTrait_<ST1,ST2> >
2131 template<
typename VT1,
typename ST,
typename VT2 >
2136 using Type = If_< And< IsDenseVector<VT1>, IsRowVector<VT1>
2137 , IsDenseVector<VT2>, IsRowVector<VT2>
2139 , TDVecScalarMultExprTrait_< TDVecTDVecMultExprTrait_<VT1,VT2>, ST >
2149 template<
typename VT1,
typename VT2,
typename ST >
2154 using Type = If_< And< IsDenseVector<VT1>, IsRowVector<VT1>
2155 , IsDenseVector<VT2>, IsRowVector<VT2>
2157 , TDVecScalarMultExprTrait_< TDVecTDVecMultExprTrait_<VT1,VT2>, ST >
2167 template<
typename VT1,
typename ST1,
typename VT2,
typename ST2 >
2172 using Type = If_< And< IsDenseVector<VT1>, IsRowVector<VT1>
2173 , IsDenseVector<VT2>, IsRowVector<VT2>
2174 , IsNumeric<ST1>, IsNumeric<ST2> >
2175 , TDVecScalarMultExprTrait_< TDVecTDVecMultExprTrait_<VT1,VT2>, MultTrait_<ST1,ST2> >
2193 template<
typename VT1,
typename VT2,
typename ST >
2198 using Type = If_< And< IsDenseVector<VT1>, IsColumnVector<VT1>
2199 , IsSparseVector<VT2>, IsColumnVector<VT2>
2201 , SVecScalarMultExprTrait_< DVecSVecMultExprTrait_<VT1,VT2>, ST >
2211 template<
typename VT1,
typename ST1,
typename VT2,
typename ST2 >
2212 struct DVecSVecMultExprTrait<
DVecScalarMultExpr<VT1,ST1,false>, SVecScalarMultExpr<VT2,ST2,false> >
2216 using Type = If_< And< IsDenseVector<VT1>, IsColumnVector<VT1>
2217 , IsSparseVector<VT2>, IsColumnVector<VT2>
2218 , IsNumeric<ST1>, IsNumeric<ST2> >
2219 , SVecScalarMultExprTrait_< DVecSVecMultExprTrait_<VT1,VT2>, MultTrait_<ST1,ST2> >
2237 template<
typename VT1,
typename ST,
typename VT2 >
2242 using Type = If_< And< IsDenseVector<VT1>, IsColumnVector<VT1>
2243 , IsSparseVector<VT2>, IsRowVector<VT2>
2245 , SMatScalarMultExprTrait_< DVecTSVecMultExprTrait_<VT1,VT2>, ST >
2255 template<
typename VT1,
typename ST1,
typename VT2,
typename ST2 >
2256 struct DVecTSVecMultExprTrait<
DVecScalarMultExpr<VT1,ST1,false>, SVecScalarMultExpr<VT2,ST2,true> >
2260 using Type = If_< And< IsDenseVector<VT1>, IsColumnVector<VT1>
2261 , IsSparseVector<VT2>, IsRowVector<VT2>
2262 , IsNumeric<ST1>, IsNumeric<ST2> >
2263 , SMatScalarMultExprTrait_< DVecTSVecMultExprTrait_<VT1,VT2>, MultTrait_<ST1,ST2> >
2281 template<
typename VT1,
typename ST,
typename VT2 >
2286 using Type = If_< And< IsDenseVector<VT1>, IsRowVector<VT1>
2287 , IsSparseVector<VT2>, IsRowVector<VT2>
2289 , TSVecScalarMultExprTrait_< TDVecTSVecMultExprTrait_<VT1,VT2>, ST >
2299 template<
typename VT1,
typename ST1,
typename VT2,
typename ST2 >
2300 struct TDVecTSVecMultExprTrait<
DVecScalarMultExpr<VT1,ST1,true>, SVecScalarMultExpr<VT2,ST2,true> >
2304 using Type = If_< And< IsDenseVector<VT1>, IsRowVector<VT1>
2305 , IsSparseVector<VT2>, IsRowVector<VT2>
2306 , IsNumeric<ST1>, IsNumeric<ST2> >
2307 , TSVecScalarMultExprTrait_< TDVecTSVecMultExprTrait_<VT1,VT2>, MultTrait_<ST1,ST2> >
2325 template<
typename VT1,
typename VT2,
typename ST >
2330 using Type = If_< And< IsSparseVector<VT1>, IsColumnVector<VT1>
2331 , IsDenseVector<VT2>, IsColumnVector<VT2>
2333 , SVecScalarMultExprTrait_< SVecDVecMultExprTrait_<VT1,VT2>, ST >
2343 template<
typename VT1,
typename ST1,
typename VT2,
typename ST2 >
2344 struct SVecDVecMultExprTrait< SVecScalarMultExpr<VT1,ST1,false>,
DVecScalarMultExpr<VT2,ST2,false> >
2348 using Type = If_< And< IsSparseVector<VT1>, IsColumnVector<VT1>
2349 , IsDenseVector<VT2>, IsColumnVector<VT2>
2350 , IsNumeric<ST1>, IsNumeric<ST2> >
2351 , SVecScalarMultExprTrait_< SVecDVecMultExprTrait_<VT1,VT2>, MultTrait_<ST1,ST2> >
2369 template<
typename VT1,
typename VT2,
typename ST >
2374 using Type = If_< And< IsSparseVector<VT1>, IsColumnVector<VT1>
2375 , IsDenseVector<VT2>, IsRowVector<VT2>
2377 , TSMatScalarMultExprTrait_< SVecTDVecMultExprTrait_<VT1,VT2>, ST >
2387 template<
typename VT1,
typename ST1,
typename VT2,
typename ST2 >
2388 struct SVecTDVecMultExprTrait< SVecScalarMultExpr<VT1,ST1,false>,
DVecScalarMultExpr<VT2,ST2,true> >
2392 using Type = If_< And< IsSparseVector<VT1>, IsColumnVector<VT1>
2393 , IsDenseVector<VT2>, IsRowVector<VT2>
2394 , IsNumeric<ST1>, IsNumeric<ST2> >
2395 , TSMatScalarMultExprTrait_< SVecTDVecMultExprTrait_<VT1,VT2>, MultTrait_<ST1,ST2> >
2413 template<
typename VT1,
typename VT2,
typename ST >
2418 using Type = If_< And< IsSparseVector<VT1>, IsRowVector<VT1>
2419 , IsDenseVector<VT2>, IsRowVector<VT2>
2421 , TSVecScalarMultExprTrait_< TSVecTDVecMultExprTrait_<VT1,VT2>, ST >
2431 template<
typename VT1,
typename ST1,
typename VT2,
typename ST2 >
2432 struct TSVecTDVecMultExprTrait< SVecScalarMultExpr<VT1,ST1,true>,
DVecScalarMultExpr<VT2,ST2,true> >
2436 using Type = If_< And< IsSparseVector<VT1>, IsRowVector<VT1>
2437 , IsDenseVector<VT2>, IsRowVector<VT2>
2438 , IsNumeric<ST1>, IsNumeric<ST2> >
2439 , TSVecScalarMultExprTrait_< TSVecTDVecMultExprTrait_<VT1,VT2>, MultTrait_<ST1,ST2> >
2457 template<
typename MT,
typename VT,
typename ST >
2462 using Type = If_< And< IsDenseMatrix<MT>, IsRowMajorMatrix<MT>
2463 , IsDenseVector<VT>, IsColumnVector<VT>
2465 , DVecScalarMultExprTrait_< DMatDVecMultExprTrait_<MT,VT>, ST >
2483 template<
typename MT,
typename VT,
typename ST >
2488 using Type = If_< And< IsDenseMatrix<MT>, IsColumnMajorMatrix<MT>
2489 , IsDenseVector<VT>, IsColumnVector<VT>
2491 , DVecScalarMultExprTrait_< TDMatDVecMultExprTrait_<MT,VT>, ST >
2509 template<
typename VT,
typename MT,
typename ST >
2514 using Type = If_< And< IsDenseVector<VT>, IsRowVector<VT>
2515 , IsDenseMatrix<MT>, IsRowMajorMatrix<MT>
2517 , TDVecScalarMultExprTrait_< TDVecDMatMultExprTrait_<VT,MT>, ST >
2535 template<
typename VT,
typename MT,
typename ST >
2540 using Type = If_< And< IsDenseVector<VT>, IsRowVector<VT>
2541 , IsDenseMatrix<MT>, IsColumnMajorMatrix<MT>
2543 , TDVecScalarMultExprTrait_< TDVecTDMatMultExprTrait_<VT,MT>, ST >
2561 template<
typename MT,
typename VT,
typename ST >
2566 using Type = If_< And< IsSparseMatrix<MT>, IsRowMajorMatrix<MT>
2567 , IsDenseVector<VT>, IsColumnVector<VT>
2569 , DVecScalarMultExprTrait_< SMatDVecMultExprTrait_<MT,VT>, ST >
2587 template<
typename MT,
typename VT,
typename ST >
2592 using Type = If_< And< IsSparseMatrix<MT>, IsColumnMajorMatrix<MT>
2593 , IsDenseVector<VT>, IsColumnVector<VT>
2595 , DVecScalarMultExprTrait_< TSMatDVecMultExprTrait_<MT,VT>, ST >
2613 template<
typename VT,
typename MT,
typename ST >
2618 using Type = If_< And< IsDenseVector<VT>, IsRowVector<VT>
2619 , IsSparseMatrix<MT>, IsRowMajorMatrix<MT>
2621 , TDVecScalarMultExprTrait_< TDVecSMatMultExprTrait_<VT,MT>, ST >
2639 template<
typename VT,
typename MT,
typename ST >
2644 using Type = If_< And< IsDenseVector<VT>, IsRowVector<VT>
2645 , IsSparseMatrix<MT>, IsColumnMajorMatrix<MT>
2647 , TDVecScalarMultExprTrait_< TDVecTSMatMultExprTrait_<VT,MT>, ST >
2665 template<
typename VT,
typename ST,
bool TF,
bool AF >
2670 using Type = MultExprTrait_< SubvectorExprTrait_<const VT,AF>, ST >;
Pointer difference type of the Blaze library.
Header file for auxiliary alias declarations.
Compile time check whether the given type is a computational expression template.This type trait clas...
Definition: IsComputation.h:72
Compile time check for numeric types.This type trait tests whether or not the given template paramete...
Definition: IsNumeric.h:79
Constraint on the data type.
TransposeType_< ResultType > TransposeType
Transpose type for expression template evaluations.
Definition: DVecScalarMultExpr.h:180
Compile time check whether the given type is a temporary vector or matrix type.This type trait class ...
Definition: IsTemporary.h:70
const DMatDMatMultExpr< T1, T2 > operator*(const DenseMatrix< T1, false > &lhs, const DenseMatrix< T2, false > &rhs)
Multiplication operator for the multiplication of two row-major dense matrices ( ).
Definition: DMatDMatMultExpr.h:7800
Header file for basic type definitions.
Header file for the SparseVector base class.
ReturnType operator*() const
Direct access to the element at the current iterator position.
Definition: DVecScalarMultExpr.h:303
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 IsSparseMatrix type trait.
Header file for the serial shim.
ConstIterator end() const
Returns an iterator just past the last non-zero element of the dense vector.
Definition: DVecScalarMultExpr.h:522
const ConstIterator operator++(int)
Post-increment operator.
Definition: DVecScalarMultExpr.h:272
Availability of a SIMD multiplication for the given data types.Depending on the available instruction...
Definition: HasSIMDMult.h:162
ResultType_< VT > RT
Result type of the dense vector expression.
Definition: DVecScalarMultExpr.h:123
Header file for the IsColumnMajorMatrix type trait.
Header file for the IsRowVector type trait.
EnableIf_< IsDenseVector< VT1 > > smpMultAssign(Vector< VT1, TF1 > &lhs, const Vector< VT2, TF2 > &rhs)
Default implementation of the SMP multiplication assignment of a vector to a dense vector...
Definition: DenseVector.h:193
Header file for the And class template.
Header file for the DenseVector base class.
ReturnType operator[](size_t index) const
Subscript operator for the direct access to the vector elements.
Definition: DVecScalarMultExpr.h:473
const DMatSerialExpr< MT, SO > serial(const DenseMatrix< MT, SO > &dm)
Forces the serial evaluation of the given dense matrix expression dm.
Definition: DMatSerialExpr.h:723
typename MultTrait< T1, T2 >::Type MultTrait_
Auxiliary alias declaration for the MultTrait class template.The MultTrait_ alias declaration provide...
Definition: MultTrait.h:245
Header file for the Computation base class.
Header file for the UnderlyingElement type trait.
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
Header file for the RequiresEvaluation type trait.
bool operator!=(const ConstIterator &rhs) const
Inequality comparison between two ConstIterator objects.
Definition: DVecScalarMultExpr.h:335
ConstIterator(IteratorType iterator, RightOperand scalar)
Constructor for the ConstIterator class.
Definition: DVecScalarMultExpr.h:226
Header file for the VecScalarMultExpr base class.
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
ConstIterator_< VT > IteratorType
ConstIterator type of the dense vector expression.
Definition: DVecScalarMultExpr.h:217
bool canAlias(const T *alias) const noexcept
Returns whether the expression can alias with the given address alias.
Definition: DVecScalarMultExpr.h:564
typename UnderlyingBuiltin< T >::Type UnderlyingBuiltin_
Auxiliary alias declaration for the UnderlyingBuiltin type trait.The UnderlyingBuiltin_ alias declara...
Definition: UnderlyingBuiltin.h:133
Constraint on the data type.
auto length(const DenseVector< VT, TF > &dv) -> decltype(sqrt(sqrLength(~dv)))
Calculation of the dense vector length .
Definition: DenseVector.h:574
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
ValueType value_type
Type of the underlying elements.
Definition: DVecScalarMultExpr.h:211
typename T::ReturnType ReturnType_
Alias declaration for nested ReturnType type definitions.The ReturnType_ alias declaration provides a...
Definition: Aliases.h:343
bool operator<=(const ConstIterator &rhs) const
Less-than comparison between two ConstIterator objects.
Definition: DVecScalarMultExpr.h:368
BLAZE_ALWAYS_INLINE auto load(size_t index) const noexcept
Access to the SIMD elements of the vector.
Definition: DVecScalarMultExpr.h:500
Header file for the SparseMatrix base class.
ReturnType at(size_t index) const
Checked access to the vector elements.
Definition: DVecScalarMultExpr.h:486
Header file for the DivExprTrait class template.
ReturnType_< VT > RN
Return type of the dense vector expression.
Definition: DVecScalarMultExpr.h:124
PointerType pointer
Pointer return type.
Definition: DVecScalarMultExpr.h:212
typename MultExprTrait< T1, T2 >::Type MultExprTrait_
Auxiliary alias declaration for the MultExprTrait class template.The MultExprTrait_ alias declaration...
Definition: MultExprTrait.h:344
Header file for the MultExprTrait class template.
Compile time check to query the requirement to evaluate an expression.Via this type trait it is possi...
Definition: RequiresEvaluation.h:72
typename T::CompositeType CompositeType_
Alias declaration for nested CompositeType type definitions.The CompositeType_ alias declaration prov...
Definition: Aliases.h:83
ptrdiff_t DifferenceType
Difference between two iterators.
Definition: DVecScalarMultExpr.h:207
const EnableIf_< IsNumeric< T2 >, DivExprTrait_< T1, T2 > > operator/(const DenseMatrix< T1, SO > &mat, T2 scalar)
Division operator for the division of a dense matrix by a scalar value ( ).
Definition: DMatScalarDivExpr.h:966
Header file for the IsTemporary type trait class.
CompositeType_< VT > CT
Composite type of the dense vector expression.
Definition: DVecScalarMultExpr.h:126
Header file for the multiplication trait.
Namespace of the Blaze C++ math library.
Definition: Blaze.h:57
#define BLAZE_ALWAYS_INLINE
Platform dependent setup of an enforced inline keyword.
Definition: Inline.h:85
LeftOperand leftOperand() const noexcept
Returns the left-hand side dense vector operand.
Definition: DVecScalarMultExpr.h:542
Header file for the If class template.
Header file for the UnderlyingBuiltin type trait.
const Element * ConstIterator
Iterator over constant elements.
Definition: CompressedMatrix.h:2647
EnableIf_< IsDenseMatrix< MT1 > > smpAssign(Matrix< MT1, SO1 > &lhs, const Matrix< MT2, SO2 > &rhs)
Default implementation of the SMP assignment of a matrix to a dense matrix.
Definition: DenseMatrix.h:98
Header file for the Or class template.
#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
Iterator over the elements of the dense vector.
Definition: DVecScalarMultExpr.h:199
Header file for the DenseMatrix base class.
bool operator>(const ConstIterator &rhs) const
Greater-than comparison between two ConstIterator objects.
Definition: DVecScalarMultExpr.h:357
typename T::ElementType ElementType_
Alias declaration for nested ElementType type definitions.The ElementType_ alias declaration provides...
Definition: Aliases.h:163
Header file for all SIMD functionality.
bool operator>=(const ConstIterator &rhs) const
Greater-than comparison between two ConstIterator objects.
Definition: DVecScalarMultExpr.h:379
ST RightOperand
Composite type of the right-hand side scalar value.
Definition: DVecScalarMultExpr.h:193
Base class for N-dimensional dense vectors.The DenseVector class is a base class for all arbitrarily ...
Definition: DenseVector.h:70
#define BLAZE_CONSTRAINT_MUST_BE_SAME_TYPE(A, B)
Data type constraint.In case the two types A and B are not the same (ignoring all cv-qualifiers of bo...
Definition: SameType.h:71
Header file for the IsAligned type trait.
Constraint on the data type.
#define BLAZE_CONSTRAINT_MUST_BE_REFERENCE_TYPE(T)
Constraint on the data type.In case the given data type T is not a reference type, a compilation error is created.
Definition: Reference.h:60
std::random_access_iterator_tag IteratorCategory
The iterator category.
Definition: DVecScalarMultExpr.h:203
Constraint on the data type.
Header file for the exception macros of the math module.
DVecScalarMultExpr< VT, ST, TF > This
Type of this DVecScalarMultExpr instance.
Definition: DVecScalarMultExpr.h:178
bool operator<(const ConstIterator &rhs) const
Less-than comparison between two ConstIterator objects.
Definition: DVecScalarMultExpr.h:346
LeftOperand vector_
Left-hand side dense vector of the multiplication expression.
Definition: DVecScalarMultExpr.h:603
Header file for all forward declarations for expression class templates.
Header file for the IsDenseMatrix type trait.
Header file for the EnableIf class template.
ReferenceType reference
Reference return type.
Definition: DVecScalarMultExpr.h:213
ConstIterator & operator++()
Pre-increment operator.
Definition: DVecScalarMultExpr.h:261
Header file for the IsPadded type trait.
auto load() const noexcept
Access to the SIMD elements of the vector.
Definition: DVecScalarMultExpr.h:313
friend const ConstIterator operator+(const ConstIterator &it, size_t inc)
Addition between a ConstIterator and an integral value.
Definition: DVecScalarMultExpr.h:402
If_< IsExpression< VT >, const VT, const VT & > LeftOperand
Composite type of the left-hand side dense vector expression.
Definition: DVecScalarMultExpr.h:190
Header file for the IsNumeric type trait.
BLAZE_ALWAYS_INLINE const EnableIf_< And< IsIntegral< T >, HasSize< T, 1UL > >, If_< IsSigned< T >, SIMDint8, SIMDuint8 > > set(T value) noexcept
Sets all values in the vector to the given 1-byte integral value.
Definition: Set.h:76
RightOperand scalar_
Right-hand side scalar of the multiplication expression.
Definition: DVecScalarMultExpr.h:604
ElementType ValueType
Type of the underlying elements.
Definition: DVecScalarMultExpr.h:204
bool operator==(const ConstIterator &rhs) const
Equality comparison between two ConstIterator objects.
Definition: DVecScalarMultExpr.h:324
Base class for all vector/scalar multiplication expression templates.The VecScalarMultExpr class serv...
Definition: VecScalarMultExpr.h:66
ElementType_< VT > ET
Element type of the dense vector expression.
Definition: DVecScalarMultExpr.h:125
Header file for the IsSparseVector type trait.
Header file for the HasSIMDMult type trait.
Header file for run time assertion macros.
Utility type for generic codes.
Header file for the division trait.
IteratorType iterator_
Iterator to the current element.
Definition: DVecScalarMultExpr.h:433
RightOperand rightOperand() const noexcept
Returns the right-hand side scalar operand.
Definition: DVecScalarMultExpr.h:552
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
EnableIf_< IsDenseVector< VT1 > > smpDivAssign(Vector< VT1, TF1 > &lhs, const Vector< VT2, TF2 > &rhs)
Default implementation of the SMP division assignment of a vector to a dense vector.
Definition: DenseVector.h:222
Constraint on the data type.
#define BLAZE_CONSTRAINT_MUST_BE_NUMERIC_TYPE(T)
Constraint on the data type.In case the given data type T is not a numeric (integral or floating poin...
Definition: Numeric.h:61
SIMD characteristics of data types.The SIMDTrait class template provides the SIMD characteristics of ...
Definition: SIMDTrait.h:296
friend const ConstIterator operator+(size_t inc, const ConstIterator &it)
Addition between an integral value and a ConstIterator.
Definition: DVecScalarMultExpr.h:414
ElementType * PointerType
Pointer return type.
Definition: DVecScalarMultExpr.h:205
size_t size() const noexcept
Returns the current size/dimension of the vector.
Definition: DVecScalarMultExpr.h:532
IntegralConstant< bool, B > BoolConstant
Generic wrapper for a compile time constant boolean value.The BoolConstant class template represents ...
Definition: IntegralConstant.h:100
Header file for the IsInvertible type trait.
bool isAliased(const T *alias) const noexcept
Returns whether the expression is aliased with the given address alias.
Definition: DVecScalarMultExpr.h:576
typename EnableIf< Condition, T >::Type EnableIf_
Auxiliary alias declaration for the EnableIf class template.The EnableIf_ alias declaration provides ...
Definition: EnableIf.h:223
Header file for the IsDenseVector type trait.
friend const ConstIterator operator-(const ConstIterator &it, size_t dec)
Subtraction between a ConstIterator and an integral value.
Definition: DVecScalarMultExpr.h:426
MultTrait_< RT, ST > ResultType
Result type for expression template evaluations.
Definition: DVecScalarMultExpr.h:179
typename T::ConstIterator ConstIterator_
Alias declaration for nested ConstIterator type definitions.The ConstIterator_ alias declaration prov...
Definition: Aliases.h:103
#define BLAZE_CONSTRAINT_MUST_BE_DENSE_VECTOR_TYPE(T)
Constraint on the data type.In case the given data type T is not a dense, N-dimensional vector type...
Definition: DenseVector.h:61
ElementType & ReferenceType
Reference return type.
Definition: DVecScalarMultExpr.h:206
MultExprTrait_< RN, ST > ExprReturnType
Expression return type for the subscript operator.
Definition: DVecScalarMultExpr.h:139
ConstIterator begin() const
Returns an iterator to the first non-zero element of the dense vector.
Definition: DVecScalarMultExpr.h:512
const DVecScalarMultExpr< VT, ElementType_< VT >, TF > normalize(const DenseVector< VT, TF > &vec)
Normalization of the dense vector ( ).
Definition: DVecScalarMultExpr.h:1164
IfTrue_< useAssign, const ResultType, const DVecScalarMultExpr & > CompositeType
Data type for composite expression templates.
Definition: DVecScalarMultExpr.h:187
const IfTrue_< returnExpr, ExprReturnType, ElementType > ReturnType
Return type for expression template evaluations.
Definition: DVecScalarMultExpr.h:184
Header file for the IsRowMajorMatrix type trait.
Header file for the IsComputation type trait class.
const ConstIterator operator--(int)
Post-decrement operator.
Definition: DVecScalarMultExpr.h:293
Expression object for dense vector-scalar multiplications.The DVecScalarMultExpr class represents the...
Definition: DVecScalarMultExpr.h:117
ConstIterator & operator+=(size_t inc)
Addition assignment operator.
Definition: DVecScalarMultExpr.h:238
Base class for all compute expression templates.The Computation class serves as a tag for all computa...
Definition: Computation.h:59
DVecScalarMultExpr(const VT &vector, ST scalar) noexcept
Constructor for the DVecScalarMultExpr class.
Definition: DVecScalarMultExpr.h:461
Base class for sparse vectors.The SparseVector class is a base class for all arbitrarily sized (N-dim...
Definition: Forward.h:110
#define BLAZE_FUNCTION_TRACE
Function trace macro.This macro can be used to reliably trace function calls. In case function tracin...
Definition: FunctionTrace.h:157
bool canSMPAssign() const noexcept
Returns whether the expression can be used in SMP assignments.
Definition: DVecScalarMultExpr.h:596
ConstIterator & operator-=(size_t dec)
Subtraction assignment operator.
Definition: DVecScalarMultExpr.h:250
Header file for the IntegralConstant class template.
Header file for the SubvectorExprTrait class template.
typename T::TransposeType TransposeType_
Alias declaration for nested TransposeType type definitions.The TransposeType_ alias declaration prov...
Definition: Aliases.h:403
Header file for the IsColumnVector type trait.
IteratorCategory iterator_category
The iterator category.
Definition: DVecScalarMultExpr.h:210
bool isAligned() const noexcept
Returns whether the operands of the expression are properly aligned in memory.
Definition: DVecScalarMultExpr.h:586
System settings for the inline keywords.
Header file for the Size type trait.
RightOperand scalar_
Scalar of the multiplication expression.
Definition: DVecScalarMultExpr.h:434
#define BLAZE_CONSTRAINT_MUST_BE_VECTOR_WITH_TRANSPOSE_FLAG(T, TF)
Constraint on the data type.In case the given data type T is not a dense or sparse vector type and in...
Definition: TransposeFlag.h:63
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
ElementType_< ResultType > ElementType
Resulting element type.
Definition: DVecScalarMultExpr.h:181
#define BLAZE_CONSTRAINT_MUST_BE_FLOATING_POINT_TYPE(T)
Constraint on the data type.In case the given data type T is not a floating point data type...
Definition: FloatingPoint.h:61
Header file for the IsExpression type trait class.
Header file for the FunctionTrace class.
DifferenceType difference_type
Difference between two iterators.
Definition: DVecScalarMultExpr.h:214
DifferenceType operator-(const ConstIterator &rhs) const
Calculating the number of elements between two iterators.
Definition: DVecScalarMultExpr.h:390
ConstIterator & operator--()
Pre-decrement operator.
Definition: DVecScalarMultExpr.h:282