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 //*************************************************************************************************
136 template< typename MT // Type of the system matrix
137  , bool SO // Storage order of the system matrix
138  , typename VT // Type of the right-hand side vector
139  , bool TF > // Transpose flag of the right-hand side vector
140 inline void hesv( DenseMatrix<MT,SO>& A, DenseVector<VT,TF>& b, char uplo, int* ipiv )
141 {
142  using boost::numeric_cast;
143 
151 
152  typedef ElementType_<MT> ET;
153 
154  if( !isSquare( ~A ) ) {
155  BLAZE_THROW_INVALID_ARGUMENT( "Invalid non-square matrix provided" );
156  }
157 
158  if( uplo != 'L' && uplo != 'U' ) {
159  BLAZE_THROW_INVALID_ARGUMENT( "Invalid uplo argument provided" );
160  }
161 
162  int n ( numeric_cast<int>( (~A).rows() ) );
163  int nrhs( 1 );
164  int lda ( numeric_cast<int>( (~A).spacing() ) );
165  int ldb ( numeric_cast<int>( (~b).size() ) );
166  int info( 0 );
167 
168  if( n == 0 ) {
169  return;
170  }
171 
173  ( uplo == 'L' )?( uplo = 'U' ):( uplo = 'L' );
174  }
175 
176  int lwork( n*lda );
177  const std::unique_ptr<ET[]> work( new ET[lwork] );
178 
179  hesv( uplo, n, nrhs, (~A).data(), lda, ipiv, (~b).data(), ldb, work.get(), lwork, &info );
180 
181  BLAZE_INTERNAL_ASSERT( info >= 0, "Invalid function argument" );
182 
183  if( info > 0 ) {
184  BLAZE_THROW_LAPACK_ERROR( "Inversion of singular matrix failed" );
185  }
186 }
187 //*************************************************************************************************
188 
189 
190 //*************************************************************************************************
252 template< typename MT1 // Type of the system matrix
253  , bool SO1 // Storage order of the system matrix
254  , typename MT2 // Type of the right-hand side matrix
255  , bool SO2 > // Storage order of the right-hand side matrix
257  char uplo, int* ipiv )
258 {
259  using boost::numeric_cast;
260 
269 
270  typedef ElementType_<MT1> ET;
271 
272  if( !isSquare( ~A ) ) {
273  BLAZE_THROW_INVALID_ARGUMENT( "Invalid non-square matrix provided" );
274  }
275 
276  if( uplo != 'L' && uplo != 'U' ) {
277  BLAZE_THROW_INVALID_ARGUMENT( "Invalid uplo argument provided" );
278  }
279 
280  int n ( numeric_cast<int>( (~A).rows() ) );
281  int mrhs( numeric_cast<int>( SO2 ? (~B).rows() : (~B).columns() ) );
282  int nrhs( numeric_cast<int>( SO2 ? (~B).columns() : (~B).rows() ) );
283  int lda ( numeric_cast<int>( (~A).spacing() ) );
284  int ldb ( numeric_cast<int>( (~B).spacing() ) );
285  int info( 0 );
286 
287  if( n != mrhs ) {
288  BLAZE_THROW_INVALID_ARGUMENT( "Matrix sizes do not match" );
289  }
290 
291  if( n == 0 ) {
292  return;
293  }
294 
296  ( uplo == 'L' )?( uplo = 'U' ):( uplo = 'L' );
297  }
298 
299  int lwork( n*lda );
300  const std::unique_ptr<ET[]> work( new ET[lwork] );
301 
302  hesv( uplo, n, nrhs, (~A).data(), lda, ipiv, (~B).data(), ldb, work.get(), lwork, &info );
303 
304  BLAZE_INTERNAL_ASSERT( info >= 0, "Invalid function argument" );
305 
306  if( info > 0 ) {
307  BLAZE_THROW_LAPACK_ERROR( "Inversion of singular matrix failed" );
308  }
309 }
310 //*************************************************************************************************
311 
312 } // namespace blaze
313 
314 #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.
Data type constraint.
Log level for high-level information.
Definition: LogLevel.h:80
#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:258
#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:70
Header file for the CLAPACK hesv wrapper functions.
constexpr bool spacing
Adding an additional spacing line between two log messages.This setting gives the opportunity to add ...
Definition: Logging.h:70
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:135
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:330
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:314
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:609
#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