hesv.h
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1 //=================================================================================================
33 //=================================================================================================
34 
35 #ifndef _BLAZE_MATH_LAPACK_HESV_H_
36 #define _BLAZE_MATH_LAPACK_HESV_H_
37 
38 
39 //*************************************************************************************************
40 // Includes
41 //*************************************************************************************************
42 
43 #include <memory>
44 #include <boost/cast.hpp>
45 #include <blaze/math/Aliases.h>
50 #include <blaze/math/Exception.h>
54 #include <blaze/util/Assert.h>
56 
57 
58 namespace blaze {
59 
60 //=================================================================================================
61 //
62 // LAPACK HERMITIAN INDEFINITE LINEAR SYSTEM FUNCTIONS (HESV)
63 //
64 //=================================================================================================
65 
66 //*************************************************************************************************
69 template< typename MT, bool SO, typename VT, bool TF >
70 inline void hesv( DenseMatrix<MT,SO>& A, DenseVector<VT,TF>& b, char uplo, int* ipiv );
71 
72 template< typename MT1, bool SO1, typename MT2, bool SO2 >
73 inline void hesv( DenseMatrix<MT1,SO1>& A, DenseMatrix<MT2,SO2>& B, char uplo, int* ipiv );
75 //*************************************************************************************************
76 
77 
78 //*************************************************************************************************
137 template< typename MT // Type of the system matrix
138  , bool SO // Storage order of the system matrix
139  , typename VT // Type of the right-hand side vector
140  , bool TF > // Transpose flag of the right-hand side vector
141 inline void hesv( DenseMatrix<MT,SO>& A, DenseVector<VT,TF>& b, char uplo, int* ipiv )
142 {
143  using boost::numeric_cast;
144 
152 
153  using ET = ElementType_<MT>;
154 
155  if( !isSquare( ~A ) ) {
156  BLAZE_THROW_INVALID_ARGUMENT( "Invalid non-square matrix provided" );
157  }
158 
159  if( (~b).size() != (~A).rows() ) {
160  BLAZE_THROW_INVALID_ARGUMENT( "Invalid right-hand side vector provided" );
161  }
162 
163  if( uplo != 'L' && uplo != 'U' ) {
164  BLAZE_THROW_INVALID_ARGUMENT( "Invalid uplo argument provided" );
165  }
166 
167  int n ( numeric_cast<int>( (~A).rows() ) );
168  int nrhs( 1 );
169  int lda ( numeric_cast<int>( (~A).spacing() ) );
170  int ldb ( numeric_cast<int>( (~b).size() ) );
171  int info( 0 );
172 
173  if( n == 0 ) {
174  return;
175  }
176 
178  ( uplo == 'L' )?( uplo = 'U' ):( uplo = 'L' );
179  }
180 
181  int lwork( n*lda );
182  const std::unique_ptr<ET[]> work( new ET[lwork] );
183 
184  hesv( uplo, n, nrhs, (~A).data(), lda, ipiv, (~b).data(), ldb, work.get(), lwork, &info );
185 
186  BLAZE_INTERNAL_ASSERT( info >= 0, "Invalid function argument" );
187 
188  if( info > 0 ) {
189  BLAZE_THROW_LAPACK_ERROR( "Inversion of singular matrix failed" );
190  }
191 }
192 //*************************************************************************************************
193 
194 
195 //*************************************************************************************************
258 template< typename MT1 // Type of the system matrix
259  , bool SO1 // Storage order of the system matrix
260  , typename MT2 // Type of the right-hand side matrix
261  , bool SO2 > // Storage order of the right-hand side matrix
263  char uplo, int* ipiv )
264 {
265  using boost::numeric_cast;
266 
275 
276  using ET = ElementType_<MT1>;
277 
278  if( !isSquare( ~A ) ) {
279  BLAZE_THROW_INVALID_ARGUMENT( "Invalid non-square matrix provided" );
280  }
281 
282  if( uplo != 'L' && uplo != 'U' ) {
283  BLAZE_THROW_INVALID_ARGUMENT( "Invalid uplo argument provided" );
284  }
285 
286  int n ( numeric_cast<int>( (~A).rows() ) );
287  int mrhs( numeric_cast<int>( SO2 ? (~B).rows() : (~B).columns() ) );
288  int nrhs( numeric_cast<int>( SO2 ? (~B).columns() : (~B).rows() ) );
289  int lda ( numeric_cast<int>( (~A).spacing() ) );
290  int ldb ( numeric_cast<int>( (~B).spacing() ) );
291  int info( 0 );
292 
293  if( n != mrhs ) {
294  BLAZE_THROW_INVALID_ARGUMENT( "Invalid right-hand side matrix provided" );
295  }
296 
297  if( n == 0 ) {
298  return;
299  }
300 
302  ( uplo == 'L' )?( uplo = 'U' ):( uplo = 'L' );
303  }
304 
305  int lwork( n*lda );
306  const std::unique_ptr<ET[]> work( new ET[lwork] );
307 
308  hesv( uplo, n, nrhs, (~A).data(), lda, ipiv, (~B).data(), ldb, work.get(), lwork, &info );
309 
310  BLAZE_INTERNAL_ASSERT( info >= 0, "Invalid function argument" );
311 
312  if( info > 0 ) {
313  BLAZE_THROW_LAPACK_ERROR( "Inversion of singular matrix failed" );
314  }
315 }
316 //*************************************************************************************************
317 
318 } // namespace blaze
319 
320 #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.
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.
Data type constraint.
#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
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.
#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
Header file for the CLAPACK hesv wrapper functions.
Constraint on the data type.
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 DenseMatrix base class.
void hesv(char uplo, int n, int nrhs, complex< float > *A, int lda, int *ipiv, complex< float > *B, int ldb, complex< float > *work, int lwork, int *info)
LAPACK kernel for solving a Hermitian indefinite single precision complex linear system of equations ...
Definition: hesv.h:136
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
#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
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.
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
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
#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