35 #ifndef _BLAZE_MATH_ADAPTORS_SYMMETRICMATRIX_DENSENUMERIC_H_ 36 #define _BLAZE_MATH_ADAPTORS_SYMMETRICMATRIX_DENSENUMERIC_H_ 109 template<
typename MT
111 class SymmetricMatrix<MT,SO,true,true>
112 :
public DenseMatrix< SymmetricMatrix<MT,SO,true,true>, SO >
116 using OT = OppositeType_t<MT>;
117 using TT = TransposeType_t<MT>;
118 using ET = ElementType_t<MT>;
123 using This = SymmetricMatrix<MT,SO,true,true>;
124 using BaseType = DenseMatrix<This,SO>;
129 using SIMDType = SIMDType_t<MT>;
134 using Pointer = Pointer_t<MT>;
135 using ConstPointer = ConstPointer_t<MT>;
142 template<
typename NewType >
145 using Other = SymmetricMatrix< typename MT::template Rebind<NewType>::Other >;
152 template<
size_t NewM
156 using Other = SymmetricMatrix< typename MT::template Resize<NewM,NewN>::Other >;
167 using IteratorCategory = std::random_access_iterator_tag;
168 using ValueType = ElementType_t<MT>;
169 using PointerType = NumericProxy<MT>;
170 using ReferenceType = NumericProxy<MT>;
171 using DifferenceType = ptrdiff_t;
174 using iterator_category = IteratorCategory;
175 using value_type = ValueType;
176 using pointer = PointerType;
177 using reference = ReferenceType;
178 using difference_type = DifferenceType;
212 ( SO )?( row_ += inc ):( column_ += inc );
224 ( SO )?( row_ -= dec ):( column_ -= dec );
234 inline Iterator& operator++() noexcept {
235 ( SO )?( ++row_ ):( ++column_ );
245 inline const Iterator operator++(
int ) noexcept {
257 inline Iterator& operator--() noexcept {
258 ( SO )?( --row_ ):( --column_ );
268 inline const Iterator operator--(
int ) noexcept {
281 return ReferenceType( *matrix_, row_, column_ );
290 inline PointerType operator->()
const {
291 return PointerType( *matrix_, row_, column_ );
305 inline SIMDType load()
const {
306 return (*matrix_).load(row_,column_);
320 inline SIMDType
loada()
const {
321 return (*matrix_).loada(row_,column_);
335 inline SIMDType
loadu()
const {
336 return (*matrix_).loadu(row_,column_);
351 inline void store(
const SIMDType& value )
const {
352 (*matrix_).store( row_, column_, value );
368 inline void storea(
const SIMDType& value )
const {
369 (*matrix_).storea( row_, column_, value );
385 inline void storeu(
const SIMDType& value )
const {
386 (*matrix_).storeu( row_, column_, value );
402 inline void stream(
const SIMDType& value )
const {
403 (*matrix_).stream( row_, column_, value );
415 return matrix_->begin( column_ ) + row_;
417 return matrix_->begin( row_ ) + column_;
429 return ( SO )?( lhs.row_ == rhs.row_ ):( lhs.column_ == rhs.column_ );
465 return ( SO )?( lhs.row_ != rhs.row_ ):( lhs.column_ != rhs.column_ );
501 return ( SO )?( lhs.row_ < rhs.row_ ):( lhs.column_ < rhs.column_ );
537 return ( SO )?( lhs.row_ > rhs.row_ ):( lhs.column_ > rhs.column_ );
573 return ( SO )?( lhs.row_ <= rhs.row_ ):( lhs.column_ <= rhs.column_ );
609 return ( SO )?( lhs.row_ >= rhs.row_ ):( lhs.column_ >= rhs.column_ );
644 return ( SO )?( row_ - rhs.row_ ):( column_ - rhs.column_ );
657 return Iterator( *it.matrix_, it.row_ + inc, it.column_ );
659 return Iterator( *it.matrix_, it.row_, it.column_ + inc );
672 return Iterator( *it.matrix_, it.row_ + inc, it.column_ );
674 return Iterator( *it.matrix_, it.row_, it.column_ + inc );
687 return Iterator( *it.matrix_, it.row_ - dec, it.column_ );
689 return Iterator( *it.matrix_, it.row_, it.column_ - dec );
701 const size_t kend(
min( row_+SIMDSIZE, (*matrix_).rows() ) );
702 for(
size_t k=row_; k<kend; ++k )
703 (*matrix_)(column_,k) = (*matrix_)(k,column_);
706 const size_t kend(
min( column_+SIMDSIZE, (*matrix_).columns() ) );
707 for(
size_t k=column_; k<kend; ++k )
708 (*matrix_)(k,row_) = (*matrix_)(row_,k);
723 static constexpr
bool simdEnabled = MT::simdEnabled;
732 explicit inline SymmetricMatrix();
733 explicit inline SymmetricMatrix(
size_t n );
734 explicit inline SymmetricMatrix( initializer_list< initializer_list<ElementType> > list );
736 template<
typename Other >
737 explicit inline SymmetricMatrix(
size_t n,
const Other* array );
739 template<
typename Other,
size_t N >
740 explicit inline SymmetricMatrix(
const Other (&array)[N][N] );
742 explicit inline SymmetricMatrix(
ElementType* ptr,
size_t n );
743 explicit inline SymmetricMatrix(
ElementType* ptr,
size_t n,
size_t nn );
745 inline SymmetricMatrix(
const SymmetricMatrix& m );
746 inline SymmetricMatrix( SymmetricMatrix&& m ) noexcept;
748 template<
typename MT2 >
inline SymmetricMatrix(
const Matrix<MT2,SO>& m );
749 template<
typename MT2 >
inline SymmetricMatrix(
const Matrix<MT2,!SO>& m );
756 ~SymmetricMatrix() =
default;
763 inline Reference operator()(
size_t i,
size_t j );
765 inline Reference at(
size_t i,
size_t j );
767 inline ConstPointer
data () const noexcept;
768 inline ConstPointer
data (
size_t i ) const noexcept;
781 inline SymmetricMatrix& operator=( initializer_list< initializer_list<
ElementType> > list );
783 template< typename Other,
size_t N >
784 inline SymmetricMatrix& operator=( const Other (&array)[N][N] );
786 inline SymmetricMatrix& operator=( const SymmetricMatrix& rhs );
787 inline SymmetricMatrix& operator=( SymmetricMatrix&& rhs ) noexcept;
789 template< typename MT2 >
790 inline auto operator=( const Matrix<MT2,SO>& rhs )
793 template< typename MT2 >
794 inline auto operator=( const Matrix<MT2,SO>& rhs )
797 template< typename MT2 >
798 inline auto operator=( const Matrix<MT2,!SO>& rhs ) -> SymmetricMatrix&;
800 template< typename MT2 >
801 inline auto operator+=( const Matrix<MT2,SO>& rhs )
804 template< typename MT2 >
805 inline auto operator+=( const Matrix<MT2,SO>& rhs )
808 template< typename MT2 >
809 inline auto operator+=( const Matrix<MT2,!SO>& rhs ) -> SymmetricMatrix&;
811 template< typename MT2 >
812 inline auto operator-=( const Matrix<MT2,SO>& rhs )
815 template< typename MT2 >
816 inline auto operator-=( const Matrix<MT2,SO>& rhs )
819 template< typename MT2 >
820 inline auto operator-=( const Matrix<MT2,!SO>& rhs ) -> SymmetricMatrix&;
822 template< typename MT2 >
823 inline auto operator%=( const Matrix<MT2,SO>& rhs )
826 template< typename MT2 >
827 inline auto operator%=( const Matrix<MT2,SO>& rhs )
830 template< typename MT2 >
831 inline auto operator%=( const Matrix<MT2,!SO>& rhs )
834 template< typename ST >
837 template< typename ST >
845 inline
size_t rows() const noexcept;
846 inline
size_t columns() const noexcept;
847 inline
size_t spacing() const noexcept;
848 inline
size_t capacity() const noexcept;
849 inline
size_t capacity(
size_t i ) const noexcept;
851 inline
size_t nonZeros(
size_t i ) const;
853 inline
void reset(
size_t i );
855 void resize (
size_t n,
bool preserve=true );
856 inline
void extend (
size_t n,
bool preserve=true );
857 inline
void reserve(
size_t elements );
859 inline
void swap( SymmetricMatrix& m ) noexcept;
869 template< typename Other > inline SymmetricMatrix& scale( const Other& scalar );
876 inline
bool isIntact() const noexcept;
883 template< typename Other > inline
bool canAlias ( const Other* alias ) const noexcept;
884 template< typename Other > inline
bool isAliased( const Other* alias ) const noexcept;
886 inline
bool isAligned () const noexcept;
887 inline
bool canSMPAssign() const noexcept;
893 inline
void store (
size_t i,
size_t j, const SIMDType& value ) noexcept;
894 inline
void storea(
size_t i,
size_t j, const SIMDType& value ) noexcept;
895 inline
void storeu(
size_t i,
size_t j, const SIMDType& value ) noexcept;
896 inline
void stream(
size_t i,
size_t j, const SIMDType& value ) noexcept;
903 static constexpr
size_t SIMDSIZE = SIMDTrait<ET>::
size;
914 template<
bool RF, typename MT2,
bool SO2,
bool DF2,
bool NF2 >
915 friend
bool isDefault( const SymmetricMatrix<MT2,SO2,DF2,NF2>& m );
918 friend
void invert( SymmetricMatrix<MT2,SO2,true,true>& m );
954 template< typename MT
956 inline SymmetricMatrix<MT,SO,true,true>::SymmetricMatrix()
972 template<
typename MT
974 inline SymmetricMatrix<MT,SO,true,true>::SymmetricMatrix(
size_t n )
1010 template<
typename MT
1012 inline SymmetricMatrix<MT,SO,true,true>::SymmetricMatrix( initializer_list< initializer_list<ElementType> > list )
1051 template<
typename MT
1053 template<
typename Other >
1054 inline SymmetricMatrix<MT,SO,true,true>::SymmetricMatrix(
size_t n,
const Other* array )
1055 : matrix_( n, n, array )
1090 template<
typename MT
1092 template<
typename Other
1094 inline SymmetricMatrix<MT,SO,true,true>::SymmetricMatrix(
const Other (&array)[N][N] )
1139 template<
typename MT
1141 inline SymmetricMatrix<MT,SO,true,true>::SymmetricMatrix(
ElementType* ptr,
size_t n )
1142 : matrix_( ptr, n, n )
1188 template<
typename MT
1190 inline SymmetricMatrix<MT,SO,true,true>::SymmetricMatrix(
ElementType* ptr,
size_t n,
size_t nn )
1191 : matrix_( ptr, n, n, nn )
1209 template<
typename MT
1211 inline SymmetricMatrix<MT,SO,true,true>::SymmetricMatrix(
const SymmetricMatrix& m )
1212 : matrix_( m.matrix_ )
1227 template<
typename MT
1229 inline SymmetricMatrix<MT,SO,true,true>::SymmetricMatrix( SymmetricMatrix&& m ) noexcept
1230 : matrix_( std::move( m.matrix_ ) )
1249 template<
typename MT
1251 template<
typename MT2 >
1252 inline SymmetricMatrix<MT,SO,true,true>::SymmetricMatrix(
const Matrix<MT2,SO>& m )
1255 if( !IsSymmetric_v<MT2> && !
isSymmetric( matrix_ ) ) {
1276 template<
typename MT
1278 template<
typename MT2 >
1279 inline SymmetricMatrix<MT,SO,true,true>::SymmetricMatrix(
const Matrix<MT2,!SO>& m )
1280 : matrix_(
trans( ~m ) )
1282 if( !IsSymmetric_v<MT2> && !
isSymmetric( matrix_ ) ) {
1316 template<
typename MT
1319 SymmetricMatrix<MT,SO,true,true>::operator()(
size_t i,
size_t j )
1345 template<
typename MT
1348 SymmetricMatrix<MT,SO,true,true>::operator()(
size_t i,
size_t j )
const 1353 return matrix_(i,j);
1375 template<
typename MT
1378 SymmetricMatrix<MT,SO,true,true>::at(
size_t i,
size_t j )
1386 return (*
this)(i,j);
1408 template<
typename MT
1411 SymmetricMatrix<MT,SO,true,true>::at(
size_t i,
size_t j )
const 1419 return (*
this)(i,j);
1439 template<
typename MT
1441 inline typename SymmetricMatrix<MT,SO,true,true>::ConstPointer
1444 return matrix_.data();
1461 template<
typename MT
1463 inline typename SymmetricMatrix<MT,SO,true,true>::ConstPointer
1466 return matrix_.data(i);
1484 template<
typename MT
1490 return Iterator( matrix_, 0UL, i );
1492 return Iterator( matrix_, i, 0UL );
1510 template<
typename MT
1515 return matrix_.begin(i);
1533 template<
typename MT
1538 return matrix_.cbegin(i);
1556 template<
typename MT
1582 template<
typename MT
1587 return matrix_.end(i);
1605 template<
typename MT
1610 return matrix_.cend(i);
1649 template<
typename MT
1651 inline SymmetricMatrix<MT,SO,true,true>&
1652 SymmetricMatrix<MT,SO,true,true>::operator=( initializer_list< initializer_list<ElementType> > list )
1654 const InitializerMatrix<ElementType> tmp( list, list.size() );
1695 template<
typename MT
1697 template<
typename Other
1699 inline SymmetricMatrix<MT,SO,true,true>&
1700 SymmetricMatrix<MT,SO,true,true>::operator=(
const Other (&array)[N][N] )
1708 matrix_ = std::move( tmp );
1729 template<
typename MT
1731 inline SymmetricMatrix<MT,SO,true,true>&
1732 SymmetricMatrix<MT,SO,true,true>::operator=(
const SymmetricMatrix& rhs )
1734 matrix_ = rhs.matrix_;
1752 template<
typename MT
1754 inline SymmetricMatrix<MT,SO,true,true>&
1755 SymmetricMatrix<MT,SO,true,true>::operator=( SymmetricMatrix&& rhs ) noexcept
1757 matrix_ = std::move( rhs.matrix_ );
1781 template<
typename MT
1783 template<
typename MT2 >
1784 inline auto SymmetricMatrix<MT,SO,true,true>::operator=(
const Matrix<MT2,SO>& rhs )
1785 -> DisableIf_t< IsComputation_v<MT2>, SymmetricMatrix& >
1787 if( !IsSymmetric_v<MT2> && !
isSymmetric( ~rhs ) ) {
1815 template<
typename MT
1817 template<
typename MT2 >
1818 inline auto SymmetricMatrix<MT,SO,true,true>::operator=(
const Matrix<MT2,SO>& rhs )
1819 -> EnableIf_t< IsComputation_v<MT2>, SymmetricMatrix& >
1821 if( !IsSquare_v<MT2> && !
isSquare( ~rhs ) ) {
1825 if( IsSymmetric_v<MT2> ) {
1835 matrix_ = std::move( tmp );
1860 template<
typename MT
1862 template<
typename MT2 >
1863 inline auto SymmetricMatrix<MT,SO,true,true>::operator=(
const Matrix<MT2,!SO>& rhs )
1866 return this->operator=(
trans( ~rhs ) );
1885 template<
typename MT
1887 template<
typename MT2 >
1889 -> DisableIf_t< IsComputation_v<MT2>, SymmetricMatrix& >
1891 if( !IsSymmetric_v<MT2> && !
isSymmetric( ~rhs ) ) {
1919 template<
typename MT
1921 template<
typename MT2 >
1923 -> EnableIf_t< IsComputation_v<MT2>, SymmetricMatrix& >
1925 if( !IsSquare_v<MT2> && !
isSquare( ~rhs ) ) {
1929 if( IsSymmetric_v<MT2> ) {
1933 const ResultType_t<MT2> tmp( ~rhs );
1965 template<
typename MT
1967 template<
typename MT2 >
1990 template<
typename MT
1992 template<
typename MT2 >
1994 -> DisableIf_t< IsComputation_v<MT2>, SymmetricMatrix& >
1996 if( !IsSymmetric_v<MT2> && !
isSymmetric( ~rhs ) ) {
2024 template<
typename MT
2026 template<
typename MT2 >
2028 -> EnableIf_t< IsComputation_v<MT2>, SymmetricMatrix& >
2030 if( !IsSquare_v<MT2> && !
isSquare( ~rhs ) ) {
2034 if( IsSymmetric_v<MT2> ) {
2038 const ResultType_t<MT2> tmp( ~rhs );
2070 template<
typename MT
2072 template<
typename MT2 >
2096 template<
typename MT
2098 template<
typename MT2 >
2099 inline auto SymmetricMatrix<MT,SO,true,true>::operator%=(
const Matrix<MT2,SO>& rhs )
2100 -> DisableIf_t< IsComputation_v<MT2>, SymmetricMatrix& >
2102 if( !IsSymmetric_v<MT2> && !
isSymmetric( ~rhs ) ) {
2131 template<
typename MT
2133 template<
typename MT2 >
2134 inline auto SymmetricMatrix<MT,SO,true,true>::operator%=(
const Matrix<MT2,SO>& rhs )
2135 -> EnableIf_t< IsComputation_v<MT2>, SymmetricMatrix& >
2137 if( !IsSquare_v<MT2> && !
isSquare( ~rhs ) ) {
2141 if( IsSymmetric_v<MT2> ) {
2145 const ResultType_t<MT2> tmp( ~rhs );
2177 template<
typename MT
2179 template<
typename MT2 >
2180 inline auto SymmetricMatrix<MT,SO,true,true>::operator%=(
const Matrix<MT2,!SO>& rhs )
2183 return this->operator%=(
trans( ~rhs ) );
2197 template<
typename MT
2199 template<
typename ST >
2201 -> EnableIf_t< IsNumeric_v<ST>, SymmetricMatrix& >
2217 template<
typename MT
2219 template<
typename ST >
2221 -> EnableIf_t< IsNumeric_v<ST>, SymmetricMatrix& >
2246 template<
typename MT
2250 return matrix_.rows();
2262 template<
typename MT
2266 return matrix_.columns();
2284 template<
typename MT
2288 return matrix_.spacing();
2300 template<
typename MT
2304 return matrix_.capacity();
2321 template<
typename MT
2325 return matrix_.capacity(i);
2337 template<
typename MT
2341 return matrix_.nonZeros();
2359 template<
typename MT
2363 return matrix_.nonZeros(i);
2375 template<
typename MT
2421 template<
typename MT
2444 template<
typename MT
2491 template<
typename MT
2501 const size_t oldsize( matrix_.rows() );
2503 matrix_.resize( n, n,
true );
2506 const size_t increment( n - oldsize );
2507 submatrix( matrix_, 0UL, oldsize, oldsize, increment ).reset();
2508 submatrix( matrix_, oldsize, 0UL, increment, n ).reset();
2528 template<
typename MT
2530 inline void SymmetricMatrix<MT,SO,true,true>::extend(
size_t n,
bool preserve )
2551 template<
typename MT
2553 inline void SymmetricMatrix<MT,SO,true,true>::reserve(
size_t elements )
2571 template<
typename MT
2575 matrix_.shrinkToFit();
2588 template<
typename MT
2594 swap( matrix_, m.matrix_ );
2614 template<
typename MT
2630 template<
typename MT
2634 if( !IsBuiltin_v<ElementType> )
2661 template<
typename MT
2663 template<
typename Other >
2664 inline SymmetricMatrix<MT,SO,true,true>&
2665 SymmetricMatrix<MT,SO,true,true>::scale(
const Other& scalar )
2667 matrix_.scale( scalar );
2692 template<
typename MT
2723 template<
typename MT
2725 template<
typename Other >
2726 inline bool SymmetricMatrix<MT,SO,true,true>::canAlias(
const Other* alias )
const noexcept
2728 return matrix_.canAlias( alias );
2745 template<
typename MT
2747 template<
typename Other >
2748 inline bool SymmetricMatrix<MT,SO,true,true>::isAliased(
const Other* alias )
const noexcept
2750 return matrix_.isAliased( alias );
2766 template<
typename MT
2768 inline bool SymmetricMatrix<MT,SO,true,true>::isAligned() const noexcept
2770 return matrix_.isAligned();
2787 template<
typename MT
2789 inline bool SymmetricMatrix<MT,SO,true,true>::canSMPAssign() const noexcept
2791 return matrix_.canSMPAssign();
2813 template<
typename MT
2816 SymmetricMatrix<MT,SO,true,true>::load(
size_t i,
size_t j )
const noexcept
2818 return matrix_.load( i, j );
2840 template<
typename MT
2845 return matrix_.loada( i, j );
2867 template<
typename MT
2872 return matrix_.loadu( i, j );
2895 template<
typename MT
2898 SymmetricMatrix<MT,SO,true,true>::store(
size_t i,
size_t j,
const SIMDType& value ) noexcept
2900 matrix_.store( i, j, value );
2903 const size_t kend(
min( i+SIMDSIZE,
rows() ) );
2904 for(
size_t k=i; k<kend; ++k )
2905 matrix_(j,k) = matrix_(k,j);
2908 const size_t kend(
min( j+SIMDSIZE,
columns() ) );
2909 for(
size_t k=j; k<kend; ++k )
2910 matrix_(k,i) = matrix_(i,k);
2934 template<
typename MT
2939 matrix_.storea( i, j, value );
2942 const size_t kend(
min( i+SIMDSIZE,
rows() ) );
2943 for(
size_t k=i; k<kend; ++k )
2944 matrix_(j,k) = matrix_(k,j);
2947 const size_t kend(
min( j+SIMDSIZE,
columns() ) );
2948 for(
size_t k=j; k<kend; ++k )
2949 matrix_(k,i) = matrix_(i,k);
2973 template<
typename MT
2978 matrix_.storeu( i, j, value );
2981 const size_t kend(
min( i+SIMDSIZE,
rows() ) );
2982 for(
size_t k=i; k<kend; ++k )
2983 matrix_(j,k) = matrix_(k,j);
2986 const size_t kend(
min( j+SIMDSIZE,
columns() ) );
2987 for(
size_t k=j; k<kend; ++k )
2988 matrix_(k,i) = matrix_(i,k);
3012 template<
typename MT
3017 matrix_.stream( i, j, value );
3020 const size_t kend(
min( i+SIMDSIZE,
rows() ) );
3021 for(
size_t k=i; k<kend; ++k )
3022 matrix_(j,k) = matrix_(k,j);
3025 const size_t kend(
min( j+SIMDSIZE,
columns() ) );
3026 for(
size_t k=j; k<kend; ++k )
3027 matrix_(k,i) = matrix_(i,k);
Header file for the implementation of the Submatrix view.
#define BLAZE_CONSTRAINT_MUST_NOT_BE_CONST(T)
Constraint on the data type.In case the given data type is a const-qualified type, a compilation error is created.
Definition: Const.h:79
#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.
Constraint on the data type.
CompressedMatrix< Type, false > OppositeType
Result type with opposite storage order for expression template evaluations.
Definition: CompressedMatrix.h:3078
#define BLAZE_USER_ASSERT(expr, msg)
Run time assertion macro for user checks.In case of an invalid run time expression, the program execution is terminated. The BLAZE_USER_ASSERT macro can be disabled by setting the BLAZE_USER_ASSERT flag to zero or by defining NDEBUG during the compilation.
Definition: Assert.h:117
auto operator/=(DenseMatrix< MT, SO > &mat, ST scalar) -> EnableIf_t< IsNumeric_v< ST >, MT & >
Division assignment operator for the division of a dense matrix by a scalar value ( )...
Definition: DenseMatrix.h:354
Header file for the UNUSED_PARAMETER function template.
size_t capacity(const Matrix< MT, SO > &matrix) noexcept
Returns the maximum capacity of the matrix.
Definition: Matrix.h:546
Header file for basic type definitions.
constexpr 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:750
MT::ElementType * data(DenseMatrix< MT, SO > &dm) noexcept
Low-level data access to the dense matrix elements.
Definition: DenseMatrix.h:169
#define BLAZE_CONSTRAINT_MUST_BE_MATRIX_WITH_STORAGE_ORDER(T, SO)
Constraint on the data type.In case the given data type T is not a dense or sparse matrix type and in...
Definition: StorageOrder.h:63
Header file for the isZero shim.
#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
constexpr bool operator<(const NegativeAccuracy< A > &lhs, const T &rhs)
Less-than comparison between a NegativeAccuracy object and a floating point value.
Definition: Accuracy.h:332
BLAZE_ALWAYS_INLINE const EnableIf_t< IsIntegral_v< T > &&HasSize_v< T, 1UL >, If_t< IsSigned_v< T >, SIMDint8, SIMDuint8 > > loadu(const T *address) noexcept
Loads a vector of 1-byte integral values.
Definition: Loadu.h:76
Constraint on the data type.
Header file for the dense matrix inversion flags.
This ResultType
Result type for expression template evaluations.
Definition: CompressedMatrix.h:3077
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
CompressedMatrix< Type, true > This
Type of this CompressedMatrix instance.
Definition: CompressedMatrix.h:3075
Constraint on the data type.
void reset(const DiagonalProxy< MT > &proxy)
Resetting the represented element to the default initial values.
Definition: DiagonalProxy.h:591
static constexpr bool smpAssignable
Compilation flag for SMP assignments.
Definition: CompressedMatrix.h:3113
void shrinkToFit(Matrix< MT, SO > &matrix)
Requesting the removal of unused capacity.
Definition: Matrix.h:799
constexpr Unchecked unchecked
Global Unchecked instance.The blaze::unchecked instance is an optional token for the creation of view...
Definition: Check.h:138
void clear(CompressedMatrix< Type, SO > &m)
Clearing the given compressed matrix.
Definition: CompressedMatrix.h:5828
CompressedMatrix< Type, false > TransposeType
Transpose type for expression template evaluations.
Definition: CompressedMatrix.h:3079
void ctranspose(Matrix< MT, SO > &matrix)
In-place conjugate transpose of the given matrix.
Definition: Matrix.h:851
const Type & ConstReference
Reference to a constant matrix value.
Definition: CompressedMatrix.h:3084
#define BLAZE_CONSTRAINT_MUST_NOT_BE_VOLATILE(T)
Constraint on the data type.In case the given data type is a volatile-qualified type, a compilation error is created.
Definition: Volatile.h:79
size_t nonZeros(const Matrix< MT, SO > &matrix)
Returns the total number of non-zero elements in the matrix.
Definition: Matrix.h:584
Element * Iterator
Iterator over non-constant elements.
Definition: CompressedMatrix.h:3085
BLAZE_ALWAYS_INLINE EnableIf_t< IsIntegral_v< T1 > &&HasSize_v< T1, 1UL > > storeu(T1 *address, const SIMDi8< T2 > &value) noexcept
Unaligned store of a vector of 1-byte integral values.
Definition: Storeu.h:75
Header file for the extended initializer_list functionality.
constexpr void UNUSED_PARAMETER(const Args &...)
Suppression of unused parameter warnings.
Definition: Unused.h:81
Constraint on the data type.
Header file for the NumericProxy class.
constexpr size_t columns(const Matrix< MT, SO > &matrix) noexcept
Returns the current number of columns of the matrix.
Definition: Matrix.h:514
MT::ConstIterator cend(const Matrix< MT, SO > &matrix, size_t i)
Returns an iterator just past the last element of row/column i.
Definition: Matrix.h:482
MT::ConstIterator cbegin(const Matrix< MT, SO > &matrix, size_t i)
Returns an iterator to the first element of row/column i.
Definition: Matrix.h:416
Header file for the implementation of the base template of the SymmetricMatrix.
Constraint on the data type.
Constraint on the data type.
size_t spacing(const DenseMatrix< MT, SO > &dm) noexcept
Returns the spacing between the beginning of two rows/columns.
Definition: DenseMatrix.h:252
Header file for the IsSquare type trait.
bool isZero(const DiagonalProxy< MT > &proxy)
Returns whether the represented element is 0.
Definition: DiagonalProxy.h:673
Constraint on the data type.
Header file for the implementation of a matrix representation of an initializer list.
typename EnableIf< Condition, T >::Type EnableIf_t
Auxiliary type for the EnableIf class template.The EnableIf_t alias declaration provides a convenient...
Definition: EnableIf.h:138
void invert(const HermitianProxy< MT > &proxy)
In-place inversion of the represented element.
Definition: HermitianProxy.h:775
Header file for the DisableIf class template.
Header file for the IsSymmetric type trait.
MatrixAccessProxy< This > Reference
Reference to a non-constant matrix value.
Definition: CompressedMatrix.h:3083
Namespace of the Blaze C++ math library.
Definition: Blaze.h:58
#define BLAZE_ALWAYS_INLINE
Platform dependent setup of an enforced inline keyword.
Definition: Inline.h:85
void swap(CompressedMatrix< Type, SO > &a, CompressedMatrix< Type, SO > &b) noexcept
Swapping the contents of two compressed matrices.
Definition: CompressedMatrix.h:5907
Header file for the If class template.
bool isIntact(const CompressedMatrix< Type, SO > &m)
Returns whether the invariants of the given compressed matrix are intact.
Definition: CompressedMatrix.h:5890
SparseMatrix< This, true > BaseType
Base type of this CompressedMatrix instance.
Definition: CompressedMatrix.h:3076
#define BLAZE_CONSTRAINT_MUST_NOT_BE_POINTER_TYPE(T)
Constraint on the data type.In case the given data type T is not a pointer type, a compilation error ...
Definition: Pointer.h:79
Type ElementType
Type of the compressed matrix elements.
Definition: CompressedMatrix.h:3080
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:1147
#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.
constexpr bool operator>(const NegativeAccuracy< A > &lhs, const T &rhs)
Greater-than comparison between a NegativeAccuracy object and a floating point value.
Definition: Accuracy.h:370
constexpr bool operator>=(const NegativeAccuracy< A > &, const T &rhs)
Greater-or-equal-than comparison between a NegativeAccuracy object and a floating point value...
Definition: Accuracy.h:446
const Element * ConstIterator
Iterator over constant elements.
Definition: CompressedMatrix.h:3086
constexpr bool operator==(const NegativeAccuracy< A > &lhs, const T &rhs)
Equality comparison between a NegativeAccuracy object and a floating point value. ...
Definition: Accuracy.h:253
constexpr bool IsNumeric_v
Auxiliary variable template for the IsNumeric type trait.The IsNumeric_v variable template provides a...
Definition: IsNumeric.h:143
Header file for all SIMD functionality.
Constraint on the data type.
BLAZE_ALWAYS_INLINE EnableIf_t< IsIntegral_v< T1 > &&HasSize_v< T1, 1UL > > storea(T1 *address, const SIMDi8< T2 > &value) noexcept
Aligned store of a vector of 1-byte integral values.
Definition: Storea.h:78
Constraints on the storage order of matrix types.
decltype(auto) elements(Vector< VT, TF > &vector, REAs... args)
Creating a view on a selection of elements of the given vector.
Definition: Elements.h:135
Header file for the exception macros of the math module.
#define BLAZE_CONSTRAINT_MUST_NOT_BE_UPPER_MATRIX_TYPE(T)
Constraint on the data type.In case the given data type T is a upper triangular matrix type...
Definition: Upper.h:81
void resize(Matrix< MT, SO > &matrix, size_t rows, size_t columns, bool preserve=true)
Changing the size of the matrix.
Definition: Matrix.h:738
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
decltype(auto) operator*(const DenseMatrix< MT1, false > &lhs, const DenseMatrix< MT2, false > &rhs)
Multiplication operator for the multiplication of two row-major dense matrices ( ).
Definition: DMatDMatMultExpr.h:8908
constexpr bool operator!=(const NegativeAccuracy< A > &lhs, const T &rhs)
Inequality comparison between a NegativeAccuracy object and a floating point value.
Definition: Accuracy.h:293
Header file for all forward declarations for expression class templates.
decltype(auto) submatrix(Matrix< MT, SO > &, RSAs...)
Creating a view on a specific submatrix of the given matrix.
Definition: Submatrix.h:360
Header file for the EnableIf class template.
Header file for utility functions for dense matrices.
void clear(const DiagonalProxy< MT > &proxy)
Clearing the represented element.
Definition: DiagonalProxy.h:611
Header file for the implementation of the Column view.
Header file for the conjugate shim.
Header file for the IsNumeric type 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, a compilation error is created.
Definition: Symmetric.h:79
BLAZE_ALWAYS_INLINE T1 & operator+=(SIMDPack< T1 > &lhs, const SIMDPack< T2 > &rhs)
Addition assignment operator for the addition of two SIMD packs.
Definition: BasicTypes.h:1357
BLAZE_ALWAYS_INLINE void conjugate(T &a) noexcept(IsNumeric_v< T >)
In-place conjugation of the given value/object.
Definition: Conjugate.h:120
Header file for run time assertion macros.
Constraint on the data type.
Constraint on the data type.
decltype(auto) row(Matrix< MT, SO > &, RRAs...)
Creating a view on a specific row of the given matrix.
Definition: Row.h:133
#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
#define BLAZE_CONSTRAINT_MUST_NOT_BE_LOWER_MATRIX_TYPE(T)
Constraint on the data type.In case the given data type T is a lower triangular matrix type...
Definition: Lower.h:81
#define BLAZE_CONSTRAINT_MUST_NOT_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:79
void swap(DiagonalMatrix< MT, SO, DF > &a, DiagonalMatrix< MT, SO, DF > &b) noexcept
Swapping the contents of two matrices.
Definition: DiagonalMatrix.h:281
constexpr size_t size(const Matrix< MT, SO > &matrix) noexcept
Returns the total number of elements of the matrix.
Definition: Matrix.h:530
Constraint on the data type.
Constraint on the data type.
constexpr bool operator<=(const NegativeAccuracy< A > &, const T &rhs)
Less-or-equal-than comparison between a NegativeAccuracy object and a floating point value...
Definition: Accuracy.h:408
bool isSymmetric(const DenseMatrix< MT, SO > &dm)
Checks if the given dense matrix is symmetric.
Definition: DenseMatrix.h:539
constexpr size_t rows(const Matrix< MT, SO > &matrix) noexcept
Returns the current number of rows of the matrix.
Definition: Matrix.h:498
constexpr const DenseIterator< Type, AF > operator+(const DenseIterator< Type, AF > &it, ptrdiff_t inc) noexcept
Addition between a DenseIterator and an integral value.
Definition: DenseIterator.h:718
BLAZE_ALWAYS_INLINE const EnableIf_t< IsIntegral_v< T > &&HasSize_v< T, 1UL >, If_t< IsSigned_v< T >, SIMDint8, SIMDuint8 > > loada(const T *address) noexcept
Loads a vector of 1-byte integral values.
Definition: Loada.h:79
BLAZE_ALWAYS_INLINE EnableIf_t< IsIntegral_v< T1 > &&HasSize_v< T1, 1UL > > stream(T1 *address, const SIMDi8< T2 > &value) noexcept
Aligned, non-temporal store of a vector of 1-byte integral values.
Definition: Stream.h:74
constexpr bool IsComputation_v
Auxiliary variable template for the IsComputation type trait.The IsComputation_v variable template pr...
Definition: IsComputation.h:90
const Type & ReturnType
Return type for expression template evaluations.
Definition: CompressedMatrix.h:3081
decltype(auto) trans(const DenseMatrix< MT, SO > &dm)
Calculation of the transpose of the given dense matrix.
Definition: DMatTransExpr.h:765
#define BLAZE_CONSTRAINT_MUST_BE_RESIZABLE_TYPE(T)
Constraint on the data type.In case the given data type T is not resizable, i.e. does not have a 'res...
Definition: Resizable.h:61
Header file for the IsComputation type trait class.
Header file for the IsBuiltin type trait.
const This & CompositeType
Data type for composite expression templates.
Definition: CompressedMatrix.h:3082
#define BLAZE_CONSTRAINT_MUST_NOT_BE_EXPRESSION_TYPE(T)
Constraint on the data type.In case the given data type T is an expression (i.e. a type derived from ...
Definition: Expression.h:81
auto operator*=(DenseMatrix< MT, SO > &mat, ST scalar) -> EnableIf_t< IsNumeric_v< ST >, MT & >
Multiplication assignment operator for the multiplication of a dense matrix and a scalar value ( )...
Definition: DenseMatrix.h:290
bool isIntact(const DiagonalMatrix< MT, SO, DF > &m)
Returns whether the invariants of the given diagonal matrix are intact.
Definition: DiagonalMatrix.h:263
bool isDefault(const DiagonalProxy< MT > &proxy)
Returns whether the represented element is in default state.
Definition: DiagonalProxy.h:631
#define BLAZE_CONSTRAINT_MUST_NOT_BE_HERMITIAN_MATRIX_TYPE(T)
Constraint on the data type.In case the given data type T is an Hermitian matrix type, a compilation error is created.
Definition: Hermitian.h:79
BLAZE_ALWAYS_INLINE T1 & operator-=(SIMDPack< T1 > &lhs, const SIMDPack< T2 > &rhs)
Subtraction assignment operator for the subtraction of two SIMD packs.
Definition: BasicTypes.h:1375
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
#define BLAZE_STATIC_ASSERT(expr)
Compile time assertion macro.In case of an invalid compile time expression, a compilation error is cr...
Definition: StaticAssert.h:112
bool isSquare(const Matrix< MT, SO > &matrix) noexcept
Checks if the given matrix is a square matrix.
Definition: Matrix.h:951
System settings for the inline keywords.
Header file for the Size type trait.
InversionFlag
Inversion flag.The InversionFlag type enumeration represents the different types of matrix inversion ...
Definition: InversionFlag.h:101
#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 implementation of the Row view.
constexpr ptrdiff_t Size_v
Auxiliary variable template for the Size type trait.The Size_v variable template provides a convenien...
Definition: Size.h:176
Header file for the clear shim.
void transpose(Matrix< MT, SO > &matrix)
In-place transpose of the given matrix.
Definition: Matrix.h:825