Blaze  3.6
posv.h
Go to the documentation of this file.
1 //=================================================================================================
33 //=================================================================================================
34 
35 #ifndef _BLAZE_MATH_LAPACK_POSV_H_
36 #define _BLAZE_MATH_LAPACK_POSV_H_
37 
38 
39 //*************************************************************************************************
40 // Includes
41 //*************************************************************************************************
42 
43 #include <blaze/math/Aliases.h>
49 #include <blaze/math/Exception.h>
54 #include <blaze/util/Assert.h>
56 #include <blaze/util/NumericCast.h>
57 
58 
59 namespace blaze {
60 
61 //=================================================================================================
62 //
63 // LAPACK POSITIVE DEFINITE LINEAR SYSTEM FUNCTIONS (POSV)
64 //
65 //=================================================================================================
66 
67 //*************************************************************************************************
70 template< typename MT, bool SO, typename VT, bool TF >
71 void posv( DenseMatrix<MT,SO>& A, DenseVector<VT,TF>& b, char uplo );
72 
73 template< typename MT1, bool SO1, typename MT2, bool SO2 >
74 void posv( DenseMatrix<MT1,SO1>& A, DenseMatrix<MT2,SO2>& B, char uplo );
76 //*************************************************************************************************
77 
78 
79 //*************************************************************************************************
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 posv( DenseMatrix<MT,SO>& A, DenseVector<VT,TF>& b, char uplo )
142 {
148 
153 
154  if( !isSquare( ~A ) ) {
155  BLAZE_THROW_INVALID_ARGUMENT( "Invalid non-square matrix provided" );
156  }
157 
158  if( (~b).size() != (~A).rows() ) {
159  BLAZE_THROW_INVALID_ARGUMENT( "Invalid right-hand side vector provided" );
160  }
161 
162  if( uplo != 'L' && uplo != 'U' ) {
163  BLAZE_THROW_INVALID_ARGUMENT( "Invalid uplo argument provided" );
164  }
165 
166  int n ( numeric_cast<int>( (~A).rows() ) );
167  int nrhs( 1 );
168  int lda ( numeric_cast<int>( (~A).spacing() ) );
169  int ldb ( numeric_cast<int>( (~b).size() ) );
170  int info( 0 );
171 
172  if( n == 0 ) {
173  return;
174  }
175 
176  if( IsRowMajorMatrix_v<MT> ) {
177  ( uplo == 'L' )?( uplo = 'U' ):( uplo = 'L' );
178  }
179 
180  posv( uplo, n, nrhs, (~A).data(), lda, (~b).data(), ldb, &info );
181 
182  BLAZE_INTERNAL_ASSERT( info >= 0, "Invalid function argument" );
183 
184  if( info > 0 ) {
185  BLAZE_THROW_LAPACK_ERROR( "Inversion of singular matrix failed" );
186  }
187 }
188 //*************************************************************************************************
189 
190 
191 //*************************************************************************************************
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
256 inline void posv( DenseMatrix<MT1,SO1>& A, DenseMatrix<MT2,SO2>& B, char uplo )
257 {
263 
269 
270  if( !isSquare( ~A ) ) {
271  BLAZE_THROW_INVALID_ARGUMENT( "Invalid non-square matrix provided" );
272  }
273 
274  if( uplo != 'L' && uplo != 'U' ) {
275  BLAZE_THROW_INVALID_ARGUMENT( "Invalid uplo argument provided" );
276  }
277 
278  int n ( numeric_cast<int>( (~A).rows() ) );
279  int mrhs( numeric_cast<int>( SO2 ? (~B).rows() : (~B).columns() ) );
280  int nrhs( numeric_cast<int>( SO2 ? (~B).columns() : (~B).rows() ) );
281  int lda ( numeric_cast<int>( (~A).spacing() ) );
282  int ldb ( numeric_cast<int>( (~B).spacing() ) );
283  int info( 0 );
284 
285  if( n != mrhs ) {
286  BLAZE_THROW_INVALID_ARGUMENT( "Invalid right-hand side matrix provided" );
287  }
288 
289  if( n == 0 ) {
290  return;
291  }
292 
293  if( IsRowMajorMatrix_v<MT1> ) {
294  ( uplo == 'L' )?( uplo = 'U' ):( uplo = 'L' );
295  }
296 
297  posv( uplo, n, nrhs, (~A).data(), lda, (~B).data(), ldb, &info );
298 
299  BLAZE_INTERNAL_ASSERT( info >= 0, "Invalid function argument" );
300 
301  if( info > 0 ) {
302  BLAZE_THROW_LAPACK_ERROR( "Inversion of singular matrix failed" );
303  }
304 }
305 //*************************************************************************************************
306 
307 } // namespace blaze
308 
309 #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
MT::ElementType * data(DenseMatrix< MT, SO > &dm) noexcept
Low-level data access to the dense matrix elements.
Definition: DenseMatrix.h:170
#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.
Constraint on the data type.
Cast operators for numeric types.
constexpr size_t columns(const Matrix< MT, SO > &matrix) noexcept
Returns the current number of columns of the matrix.
Definition: Matrix.h:514
#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:81
typename T::ElementType ElementType_t
Alias declaration for nested ElementType type definitions.The ElementType_t alias declaration provide...
Definition: Aliases.h:170
size_t spacing(const DenseMatrix< MT, SO > &dm) noexcept
Returns the spacing between the beginning of two rows/columns.
Definition: DenseMatrix.h:253
Constraint on the data type.
Namespace of the Blaze C++ math library.
Definition: Blaze.h:58
#define BLAZE_CONSTRAINT_MUST_BE_CONTIGUOUS_TYPE(T)
Constraint on the data type.In case the given data type T is not an array-like data type with contigu...
Definition: Contiguous.h:61
Header file for the DenseMatrix base class.
Base class for N-dimensional dense vectors.The DenseVector class is a base class for all arbitrarily ...
Definition: DenseVector.h:76
#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
Header file for the exception macros of the math module.
Constraint on the data type.
Header file for run time assertion macros.
constexpr size_t size(const Matrix< MT, SO > &matrix) noexcept
Returns the total number of elements of the matrix.
Definition: Matrix.h:530
#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
constexpr size_t rows(const Matrix< MT, SO > &matrix) noexcept
Returns the current number of rows of the matrix.
Definition: Matrix.h:498
Header file for the CLAPACK posv wrapper functions.
Header file for the IsRowMajorMatrix type trait.
void posv(char uplo, int n, int nrhs, float *A, int lda, float *B, int ldb, int *info)
LAPACK kernel for solving a positive definite single precision linear system of equations ( ).
Definition: posv.h:143
#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
bool isSquare(const Matrix< MT, SO > &matrix) noexcept
Checks if the given matrix is a square matrix.
Definition: Matrix.h:951
#define BLAZE_INTERNAL_ASSERT(expr, msg)
Run time assertion macro for internal checks.In case of an invalid run time expression,...
Definition: Assert.h:101