35 #ifndef _BLAZE_MATH_LAPACK_SYEVX_H_ 36 #define _BLAZE_MATH_LAPACK_SYEVX_H_ 44 #include <boost/cast.hpp> 73 template<
typename MT,
bool SO,
typename VT,
bool TF >
74 inline size_t syevx( DenseMatrix<MT,SO>& A, DenseVector<VT,TF>& w,
char uplo );
76 template<
typename MT,
bool SO,
typename VT,
bool TF,
typename ST >
77 inline size_t syevx( DenseMatrix<MT,SO>& A, DenseVector<VT,TF>& w,
char uplo, ST low, ST upp );
79 template<
typename MT1,
bool SO1,
typename VT,
bool TF,
typename MT2,
bool SO2 >
80 inline size_t syevx( DenseMatrix<MT1,SO1>& A, DenseVector<VT,TF>& w,
81 DenseMatrix<MT2,SO2>& Z,
char uplo );
83 template<
typename MT1,
bool SO1,
typename VT,
bool TF,
typename MT2,
bool SO2,
typename ST >
84 inline size_t syevx( DenseMatrix<MT1,SO1>& A, DenseVector<VT,TF>& w,
85 DenseMatrix<MT2,SO2>& Z,
char uplo, ST low, ST upp );
113 template<
typename MT
118 inline size_t syevx_backend( DenseMatrix<MT,SO>& A, DenseVector<VT,TF>& w,
119 char uplo,
char range, ST vl, ST vu,
int il,
int iu )
121 using boost::numeric_cast;
128 using ET = ElementType_<MT>;
132 int n ( numeric_cast<int>( (~A).
rows() ) );
133 int lda ( numeric_cast<int>( (~A).
spacing() ) );
137 int lwork( 12*n + 2 );
138 const std::unique_ptr<ET[]> work (
new ET[lwork] );
139 const std::unique_ptr<int[]> iwork(
new int[12*n] );
140 const std::unique_ptr<int[]> ifail(
new int[n] );
142 syevx(
'N', range, uplo, n, (~A).data(), lda, vl, vu, il, iu, ET(0), &m,
143 (~w).data(),
nullptr, 1, work.get(), lwork, iwork.get(), ifail.get(), &info );
145 const size_t num( numeric_cast<size_t>( m ) );
216 template<
typename MT
235 const size_t N( (~A).
rows() );
241 if( uplo !=
'L' && uplo !=
'U' ) {
251 return syevx_backend( ~A, ~w, uplo,
'A', ET(), ET(), 0, 0 );
342 template<
typename MT
349 using boost::numeric_cast;
366 if( uplo !=
'L' && uplo !=
'U' ) {
378 const size_t N( (~A).
rows() );
397 return syevx_backend( ~A, ~w, uplo, range, vl, vu, il, iu );
426 template<
typename MT1
435 ST vl, ST vu,
int il,
int iu )
437 using boost::numeric_cast;
452 int n ( numeric_cast<int>( (~A).
rows() ) );
453 int lda ( numeric_cast<int>( (~A).
spacing() ) );
455 int ldz ( numeric_cast<int>( (~Z).
spacing() ) );
458 int lwork( 12*n + 2 );
459 const std::unique_ptr<ET[]> work (
new ET[lwork] );
460 const std::unique_ptr<int[]> iwork(
new int[12*n] );
461 const std::unique_ptr<int[]> ifail(
new int[n] );
463 syevx(
'N', range, uplo, n, (~A).data(), lda, vl, vu, il, iu, ET(0), &m,
464 (~w).data(), (~Z).data(), ldz, work.get(), lwork, iwork.get(), ifail.get(), &info );
466 const size_t num( numeric_cast<size_t>( m ) );
544 template<
typename MT1
572 const size_t N( (~A).
rows() );
578 if( uplo !=
'L' && uplo !=
'U' ) {
583 resize( ~Z, N, N,
false );
589 return syevx_backend( ~A, ~w, ~Z, uplo,
'A', ET(), ET(), 0, 0 );
690 template<
typename MT1
700 using boost::numeric_cast;
723 if( uplo !=
'L' && uplo !=
'U' ) {
735 const size_t N( (~A).
rows() );
756 return syevx_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
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 syevx(char jobz, char range, char uplo, int n, float *A, int lda, float vl, float vu, int il, int iu, float abstol, int *m, float *w, float *Z, int ldz, float *work, int lwork, int *iwork, int *ifail, int *info)
LAPACK kernel for computing the eigenvalues of the given dense symmetric single precision column-majo...
Definition: syevx.h:146
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 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
Header file for the CLAPACK syevx wrapper functions.
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 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.