35 #ifndef _BLAZE_MATH_LAPACK_HEEVX_H_ 36 #define _BLAZE_MATH_LAPACK_HEEVX_H_ 44 #include <boost/cast.hpp> 74 template<
typename MT,
bool SO,
typename VT,
bool TF >
75 inline size_t heevx( DenseMatrix<MT,SO>& A, DenseVector<VT,TF>& w,
char uplo );
77 template<
typename MT,
bool SO,
typename VT,
bool TF,
typename ST >
78 inline size_t heevx( DenseMatrix<MT,SO>& A, DenseVector<VT,TF>& w,
char uplo, ST low, ST upp );
80 template<
typename MT1,
bool SO1,
typename VT,
bool TF,
typename MT2,
bool SO2 >
81 inline size_t heevx( DenseMatrix<MT1,SO1>& A, DenseVector<VT,TF>& w,
82 DenseMatrix<MT2,SO2>& Z,
char uplo );
84 template<
typename MT1,
bool SO1,
typename VT,
bool TF,
typename MT2,
bool SO2,
typename ST >
85 inline size_t heevx( DenseMatrix<MT1,SO1>& A, DenseVector<VT,TF>& w,
86 DenseMatrix<MT2,SO2>& Z,
char uplo, ST low, ST upp );
114 template<
typename MT
119 inline size_t heevx_backend( DenseMatrix<MT,SO>& A, DenseVector<VT,TF>& w,
120 char uplo,
char range, ST vl, ST vu,
int il,
int iu )
122 using boost::numeric_cast;
129 using CT = ElementType_<MT>;
130 using BT = UnderlyingElement_<CT>;
135 int n ( numeric_cast<int>( (~A).
rows() ) );
136 int lda ( numeric_cast<int>( (~A).
spacing() ) );
140 int lwork( 12*n + 2 );
141 const std::unique_ptr<CT[]> work (
new CT[lwork] );
142 const std::unique_ptr<BT[]> rwork(
new BT[7*n] );
143 const std::unique_ptr<int[]> iwork(
new int[5*n] );
144 const std::unique_ptr<int[]> ifail(
new int[n] );
146 heevx(
'N', range, uplo, n, (~A).data(), lda, vl, vu, il, iu, BT(0), &m, (~w).data(),
147 nullptr, 1, work.get(), lwork, rwork.get(), iwork.get(), ifail.get(), &info );
149 const size_t num( numeric_cast<size_t>( m ) );
220 template<
typename MT
240 const size_t N( (~A).
rows() );
246 if( uplo !=
'L' && uplo !=
'U' ) {
256 return heevx_backend( ~A, ~w, uplo,
'A', BT(), BT(), 0, 0 );
347 template<
typename MT
354 using boost::numeric_cast;
379 const size_t N( (~A).
rows() );
386 if( uplo !=
'L' && uplo !=
'U' ) {
402 return heevx_backend( ~A, ~w, uplo, range, vl, vu, il, iu );
431 template<
typename MT1
440 ST vl, ST vu,
int il,
int iu )
442 using boost::numeric_cast;
459 int n ( numeric_cast<int>( (~A).
rows() ) );
460 int lda ( numeric_cast<int>( (~A).
spacing() ) );
462 int ldz ( numeric_cast<int>( (~Z).
spacing() ) );
465 int lwork( 12*n + 2 );
466 const std::unique_ptr<CT[]> work (
new CT[lwork] );
467 const std::unique_ptr<BT[]> rwork(
new BT[7*n] );
468 const std::unique_ptr<int[]> iwork(
new int[5*n] );
469 const std::unique_ptr<int[]> ifail(
new int[n] );
471 heevx(
'N', range, uplo, n, (~A).data(), lda, vl, vu, il, iu, BT(0), &m, (~w).data(),
472 (~Z).data(), ldz, work.get(), lwork, rwork.get(), iwork.get(), ifail.get(), &info );
474 const size_t num( numeric_cast<size_t>( m ) );
552 template<
typename MT1
581 const size_t N( (~A).
rows() );
587 if( uplo !=
'L' && uplo !=
'U' ) {
592 resize( ~Z, N, N,
false );
598 return heevx_backend( ~A, ~w, ~Z, uplo,
'A', BT(), BT(), 0, 0 );
699 template<
typename MT1
709 using boost::numeric_cast;
740 const size_t N( (~A).
rows() );
747 if( uplo !=
'L' && uplo !=
'U' ) {
765 return heevx_backend( ~A, ~w, ~Z, uplo, range, vl, vu, il, iu );
#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
Constraint on the data type.
BLAZE_ALWAYS_INLINE size_t spacing(const DenseMatrix< MT, SO > &dm) noexcept
Returns the spacing between the beginning of two rows/columns.
Definition: DenseMatrix.h:102
Header file for auxiliary alias declarations.
#define BLAZE_CONSTRAINT_MUST_HAVE_MUTABLE_DATA_ACCESS(T)
Constraint on the data type.In case the given data type T does not provide low-level data access to m...
Definition: MutableDataAccess.h:61
Header file for basic type definitions.
BLAZE_ALWAYS_INLINE size_t size(const Vector< VT, TF > &vector) noexcept
Returns the current size/dimension of the vector.
Definition: Vector.h:261
#define BLAZE_CONSTRAINT_MUST_NOT_BE_COMPUTATION_TYPE(T)
Constraint on the data type.In case the given data type T is a computational expression (i...
Definition: Computation.h:81
Constraint on the data type.
Header file for the DenseVector base class.
Constraint on the data type.
#define BLAZE_CONSTRAINT_MUST_NOT_BE_ADAPTOR_TYPE(T)
Constraint on the data type.In case the given data type T is an adaptor type (as for instance LowerMa...
Definition: Adaptor.h:81
Base class for dense matrices.The DenseMatrix class is a base class for all dense matrix classes...
Definition: DenseMatrix.h:71
Constraint on the data type.
void heevx(char jobz, char range, char uplo, int n, complex< float > *A, int lda, float vl, float vu, int il, int iu, float abstol, int *m, float *w, complex< float > *Z, int ldz, complex< float > *work, int lwork, float *rwork, int *iwork, int *ifail, int *info)
LAPACK kernel for computing the eigenvalues of the given dense Hermitian single precision complex col...
Definition: heevx.h:149
Namespace of the Blaze C++ math library.
Definition: Blaze.h:57
Compile time check for row-major matrix types.This type trait tests whether or not the given template...
Definition: IsRowMajorMatrix.h:83
Header file for the IsFloatingPoint type trait.
Header file for the DenseMatrix base class.
typename UnderlyingElement< T >::Type UnderlyingElement_
Auxiliary alias declaration for the UnderlyingElement type trait.The UnderlyingElement_ alias declara...
Definition: UnderlyingElement.h:133
typename T::ElementType ElementType_
Alias declaration for nested ElementType type definitions.The ElementType_ alias declaration provides...
Definition: Aliases.h:163
Base class for N-dimensional dense vectors.The DenseVector class is a base class for all arbitrarily ...
Definition: DenseVector.h:70
BLAZE_ALWAYS_INLINE size_t columns(const Matrix< MT, SO > &matrix) noexcept
Returns the current number of columns of the matrix.
Definition: Matrix.h:336
Header file for the exception macros of the math module.
Compile time check for floating point data types.This type trait tests whether or not the given templ...
Definition: IsFloatingPoint.h:75
BLAZE_ALWAYS_INLINE void resize(Matrix< MT, SO > &matrix, size_t rows, size_t columns, bool preserve=true)
Changing the size of the matrix.
Definition: Matrix.h:544
Constraint on the data type.
Header file for run time assertion macros.
#define BLAZE_CONSTRAINT_MUST_BE_BLAS_COMPATIBLE_TYPE(T)
Constraint on the data type.In case the given data type T is not a BLAS compatible data type (i...
Definition: BLASCompatible.h:61
#define BLAZE_CONSTRAINT_MUST_BE_BUILTIN_TYPE(T)
Constraint on the data type.In case the given data type T is not a built-in data type, a compilation error is created.
Definition: Builtin.h:60
BLAZE_ALWAYS_INLINE size_t rows(const Matrix< MT, SO > &matrix) noexcept
Returns the current number of rows of the matrix.
Definition: Matrix.h:320
Header file for the CLAPACK heevx wrapper functions.
#define BLAZE_CONSTRAINT_MUST_BE_COMPLEX_TYPE(T)
Constraint on the data type.This compile time constraint checks that the given data type T is a compl...
Definition: Complex.h:62
Header file for the IsRowMajorMatrix type trait.
#define BLAZE_THROW_LAPACK_ERROR(MESSAGE)
Macro for the emission of an exception on detection of a LAPACK error.This macro encapsulates the def...
Definition: Exception.h:146
BLAZE_ALWAYS_INLINE bool isSquare(const Matrix< MT, SO > &matrix) noexcept
Checks if the given matrix is a square matrix.
Definition: Matrix.h:677
Header file for the IsResizable type trait.
#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
Constraint on the data type.