posv.h
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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 <boost/cast.hpp>
44 #include <blaze/math/Aliases.h>
49 #include <blaze/math/Exception.h>
54 #include <blaze/util/Assert.h>
56 
57 
58 namespace blaze {
59 
60 //=================================================================================================
61 //
62 // LAPACK POSITIVE DEFINITE LINEAR SYSTEM FUNCTIONS (POSV)
63 //
64 //=================================================================================================
65 
66 //*************************************************************************************************
69 template< typename MT, bool SO, typename VT, bool TF >
70 inline void posv( DenseMatrix<MT,SO>& A, DenseVector<VT,TF>& b, char uplo );
71 
72 template< typename MT1, bool SO1, typename MT2, bool SO2 >
73 inline void posv( DenseMatrix<MT1,SO1>& A, DenseMatrix<MT2,SO2>& B, char uplo );
75 //*************************************************************************************************
76 
77 
78 //*************************************************************************************************
134 template< typename MT // Type of the system matrix
135  , bool SO // Storage order of the system matrix
136  , typename VT // Type of the right-hand side vector
137  , bool TF > // Transpose flag of the right-hand side vector
138 inline void posv( DenseMatrix<MT,SO>& A, DenseVector<VT,TF>& b, char uplo )
139 {
140  using boost::numeric_cast;
141 
149 
150  if( !isSquare( ~A ) ) {
151  BLAZE_THROW_INVALID_ARGUMENT( "Invalid non-square matrix provided" );
152  }
153 
154  if( uplo != 'L' && uplo != 'U' ) {
155  BLAZE_THROW_INVALID_ARGUMENT( "Invalid uplo argument provided" );
156  }
157 
158  int n ( numeric_cast<int>( (~A).rows() ) );
159  int nrhs( 1 );
160  int lda ( numeric_cast<int>( (~A).spacing() ) );
161  int ldb ( numeric_cast<int>( (~b).size() ) );
162  int info( 0 );
163 
164  if( n == 0 ) {
165  return;
166  }
167 
169  ( uplo == 'L' )?( uplo = 'U' ):( uplo = 'L' );
170  }
171 
172  posv( uplo, n, nrhs, (~A).data(), lda, (~b).data(), ldb, &info );
173 
174  BLAZE_INTERNAL_ASSERT( info >= 0, "Invalid function argument" );
175 
176  if( info > 0 ) {
177  BLAZE_THROW_LAPACK_ERROR( "Inversion of singular matrix failed" );
178  }
179 }
180 //*************************************************************************************************
181 
182 
183 //*************************************************************************************************
243 template< typename MT1 // Type of the system matrix
244  , bool SO1 // Storage order of the system matrix
245  , typename MT2 // Type of the right-hand side matrix
246  , bool SO2 > // Storage order of the right-hand side matrix
247 inline void posv( DenseMatrix<MT1,SO1>& A, DenseMatrix<MT2,SO2>& B, char uplo )
248 {
249  using boost::numeric_cast;
250 
259 
260  if( !isSquare( ~A ) ) {
261  BLAZE_THROW_INVALID_ARGUMENT( "Invalid non-square matrix provided" );
262  }
263 
264  if( uplo != 'L' && uplo != 'U' ) {
265  BLAZE_THROW_INVALID_ARGUMENT( "Invalid uplo argument provided" );
266  }
267 
268  int n ( numeric_cast<int>( (~A).rows() ) );
269  int mrhs( numeric_cast<int>( SO2 ? (~B).rows() : (~B).columns() ) );
270  int nrhs( numeric_cast<int>( SO2 ? (~B).columns() : (~B).rows() ) );
271  int lda ( numeric_cast<int>( (~A).spacing() ) );
272  int ldb ( numeric_cast<int>( (~B).spacing() ) );
273  int info( 0 );
274 
275  if( n != mrhs ) {
276  BLAZE_THROW_INVALID_ARGUMENT( "Matrix sizes do not match" );
277  }
278 
279  if( n == 0 ) {
280  return;
281  }
282 
284  ( uplo == 'L' )?( uplo = 'U' ):( uplo = 'L' );
285  }
286 
287  posv( uplo, n, nrhs, (~A).data(), lda, (~B).data(), ldb, &info );
288 
289  BLAZE_INTERNAL_ASSERT( info >= 0, "Invalid function argument" );
290 
291  if( info > 0 ) {
292  BLAZE_THROW_LAPACK_ERROR( "Inversion of singular matrix failed" );
293  }
294 }
295 //*************************************************************************************************
296 
297 } // namespace blaze
298 
299 #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
Header file for the DenseVector base class.
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
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.
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 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:135
#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