heevd.h
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1 //=================================================================================================
33 //=================================================================================================
34 
35 #ifndef _BLAZE_MATH_LAPACK_HEEVD_H_
36 #define _BLAZE_MATH_LAPACK_HEEVD_H_
37 
38 
39 //*************************************************************************************************
40 // Includes
41 //*************************************************************************************************
42 
43 #include <memory>
44 #include <blaze/math/Aliases.h>
49 #include <blaze/math/Exception.h>
55 #include <blaze/util/Assert.h>
57 #include <blaze/util/NumericCast.h>
58 
59 
60 namespace blaze {
61 
62 //=================================================================================================
63 //
64 // LAPACK HERMITIAN MATRIX EIGENVALUE FUNCTIONS (HEEVD)
65 //
66 //=================================================================================================
67 
68 //*************************************************************************************************
71 template< typename MT, bool SO, typename VT, bool TF >
72 inline void heevd( DenseMatrix<MT,SO>& A, DenseVector<VT,TF>& w, char jobz, char uplo );
74 //*************************************************************************************************
75 
76 
77 //*************************************************************************************************
136 template< typename MT // Type of the matrix A
137  , bool SO // Storage order of the matrix A
138  , typename VT // Type of the vector w
139  , bool TF > // Transpose flag of the vector w
140 inline void heevd( DenseMatrix<MT,SO>& A, DenseVector<VT,TF>& w, char jobz, char uplo )
141 {
147 
152 
153  using CT = ElementType_<MT>;
154  using BT = UnderlyingElement_<CT>;
155 
156  if( !isSquare( ~A ) ) {
157  BLAZE_THROW_INVALID_ARGUMENT( "Invalid non-square matrix provided" );
158  }
159 
160  if( jobz != 'V' && jobz != 'N' ) {
161  BLAZE_THROW_INVALID_ARGUMENT( "Invalid jobz argument provided" );
162  }
163 
164  if( uplo != 'L' && uplo != 'U' ) {
165  BLAZE_THROW_INVALID_ARGUMENT( "Invalid uplo argument provided" );
166  }
167 
168  resize( ~w, (~A).rows(), false );
169 
170  int n ( numeric_cast<int>( (~A).rows() ) );
171  int lda ( numeric_cast<int>( (~A).spacing() ) );
172  int info( 0 );
173 
174  if( n == 0 ) {
175  return;
176  }
177 
178  int lwork( n*n + 2*n + 2 );
179  const std::unique_ptr<CT[]> work( new CT[lwork] );
180 
181  int lrwork( 1 + 5*n + 2*n*n );
182  const std::unique_ptr<BT[]> rwork( new BT[lrwork] );
183 
184  int liwork( 3 + 5*n );
185  const std::unique_ptr<int[]> iwork( new int[liwork] );
186 
188  ( uplo == 'L' )?( uplo = 'U' ):( uplo = 'L' );
189  }
190 
191  heevd( jobz, uplo, n, (~A).data(), lda, (~w).data(),
192  work.get(), lwork, rwork.get(), lrwork, iwork.get(), liwork, &info );
193 
194  BLAZE_INTERNAL_ASSERT( info >= 0, "Invalid argument for eigenvalue computation" );
195 
196  if( info > 0 ) {
197  BLAZE_THROW_LAPACK_ERROR( "Eigenvalue computation failed" );
198  }
199 }
200 //*************************************************************************************************
201 
202 } // namespace blaze
203 
204 #endif
#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.
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
#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.
Cast operators for numeric types.
#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:80
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:252
Header file for the CLAPACK heevd wrapper functions.
Constraint on the data type.
Namespace of the Blaze C++ math library.
Definition: Blaze.h:58
Compile time check for row-major matrix types.This type trait tests whether or not the given template...
Definition: IsRowMajorMatrix.h:110
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:132
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:76
Header file for the exception macros of the math module.
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:714
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:490
BLAZE_ALWAYS_INLINE 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_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:908
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