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 <blaze/math/Aliases.h>
49 #include <blaze/math/Exception.h>
53 #include <blaze/util/Assert.h>
55 #include <blaze/util/NumericCast.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 {
150 
151  using ET = ElementType_<MT>;
152 
153  if( !isSquare( ~A ) ) {
154  BLAZE_THROW_INVALID_ARGUMENT( "Invalid non-square matrix provided" );
155  }
156 
157  if( (~b).size() != (~A).rows() ) {
158  BLAZE_THROW_INVALID_ARGUMENT( "Invalid right-hand side vector provided" );
159  }
160 
161  if( uplo != 'L' && uplo != 'U' ) {
162  BLAZE_THROW_INVALID_ARGUMENT( "Invalid uplo argument provided" );
163  }
164 
165  int n ( numeric_cast<int>( (~A).rows() ) );
166  int nrhs( 1 );
167  int lda ( numeric_cast<int>( (~A).spacing() ) );
168  int ldb ( numeric_cast<int>( (~b).size() ) );
169  int info( 0 );
170 
171  if( n == 0 ) {
172  return;
173  }
174 
176  ( uplo == 'L' )?( uplo = 'U' ):( uplo = 'L' );
177  }
178 
179  int lwork( n*lda );
180  const std::unique_ptr<ET[]> work( new ET[lwork] );
181 
182  hesv( uplo, n, nrhs, (~A).data(), lda, ipiv, (~b).data(), ldb, work.get(), lwork, &info );
183 
184  BLAZE_INTERNAL_ASSERT( info >= 0, "Invalid function argument" );
185 
186  if( info > 0 ) {
187  BLAZE_THROW_LAPACK_ERROR( "Inversion of singular matrix failed" );
188  }
189 }
190 //*************************************************************************************************
191 
192 
193 //*************************************************************************************************
256 template< typename MT1 // Type of the system matrix
257  , bool SO1 // Storage order of the system matrix
258  , typename MT2 // Type of the right-hand side matrix
259  , bool SO2 > // Storage order of the right-hand side matrix
261  char uplo, int* ipiv )
262 {
271 
272  using ET = ElementType_<MT1>;
273 
274  if( !isSquare( ~A ) ) {
275  BLAZE_THROW_INVALID_ARGUMENT( "Invalid non-square matrix provided" );
276  }
277 
278  if( uplo != 'L' && uplo != 'U' ) {
279  BLAZE_THROW_INVALID_ARGUMENT( "Invalid uplo argument provided" );
280  }
281 
282  int n ( numeric_cast<int>( (~A).rows() ) );
283  int mrhs( numeric_cast<int>( SO2 ? (~B).rows() : (~B).columns() ) );
284  int nrhs( numeric_cast<int>( SO2 ? (~B).columns() : (~B).rows() ) );
285  int lda ( numeric_cast<int>( (~A).spacing() ) );
286  int ldb ( numeric_cast<int>( (~B).spacing() ) );
287  int info( 0 );
288 
289  if( n != mrhs ) {
290  BLAZE_THROW_INVALID_ARGUMENT( "Invalid right-hand side matrix provided" );
291  }
292 
293  if( n == 0 ) {
294  return;
295  }
296 
298  ( uplo == 'L' )?( uplo = 'U' ):( uplo = 'L' );
299  }
300 
301  int lwork( n*lda );
302  const std::unique_ptr<ET[]> work( new ET[lwork] );
303 
304  hesv( uplo, n, nrhs, (~A).data(), lda, ipiv, (~B).data(), ldb, work.get(), lwork, &info );
305 
306  BLAZE_INTERNAL_ASSERT( info >= 0, "Invalid function argument" );
307 
308  if( info > 0 ) {
309  BLAZE_THROW_LAPACK_ERROR( "Inversion of singular matrix failed" );
310  }
311 }
312 //*************************************************************************************************
313 
314 } // namespace blaze
315 
316 #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.
#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:265
#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.
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:78
Header file for the CLAPACK hesv wrapper functions.
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:110
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:110
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:138
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:340
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:324
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:742
#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