trtrs.h
Go to the documentation of this file.
1 //=================================================================================================
33 //=================================================================================================
34 
35 #ifndef _BLAZE_MATH_LAPACK_TRTRS_H_
36 #define _BLAZE_MATH_LAPACK_TRTRS_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 TRIANGULAR SUBSTITUTION FUNCTIONS (TRTRS)
63 //
64 //=================================================================================================
65 
66 //*************************************************************************************************
69 template< typename MT, bool SO, typename VT, bool TF >
70 inline void trtrs( const DenseMatrix<MT,SO>& A, DenseVector<VT,TF>& b,
71  char uplo, char trans, char diag );
72 
73 template< typename MT1, bool SO1, typename MT2, bool SO2 >
74 inline void trtrs( const DenseMatrix<MT1,SO1>& A, DenseMatrix<MT2,SO2>& B,
75  char uplo, char trans, char diag );
77 //*************************************************************************************************
78 
79 
80 //*************************************************************************************************
163 template< typename MT // Type of the system matrix
164  , bool SO // Storage order of the system matrix
165  , typename VT // Type of the right-hand side vector
166  , bool TF > // Transpose flag of the right-hand side vector
167 inline void trtrs( const DenseMatrix<MT,SO>& A, DenseVector<VT,TF>& b, char uplo, char trans, char diag )
168 {
169  using boost::numeric_cast;
170 
175 
176  if( !isSquare( ~A ) ) {
177  BLAZE_THROW_INVALID_ARGUMENT( "Invalid non-square matrix provided" );
178  }
179 
180  if( uplo != 'L' && uplo != 'U' ) {
181  BLAZE_THROW_INVALID_ARGUMENT( "Invalid uplo argument provided" );
182  }
183 
184  if( trans != 'N' && trans != 'T' && trans != 'C' ) {
185  BLAZE_THROW_INVALID_ARGUMENT( "Invalid trans argument provided" );
186  }
187 
188  if( diag != 'U' && diag != 'N' ) {
189  BLAZE_THROW_INVALID_ARGUMENT( "Invalid diag argument provided" );
190  }
191 
192  int n ( numeric_cast<int>( (~A).rows() ) );
193  int nrhs( 1 );
194  int lda ( numeric_cast<int>( (~A).spacing() ) );
195  int ldb ( numeric_cast<int>( (~b).size() ) );
196  int info( 0 );
197 
198  if( n == 0 ) {
199  return;
200  }
201 
203  ( uplo == 'L' )?( uplo = 'U' ):( uplo = 'L' );
204  }
205 
206  trtrs( uplo, trans, diag, n, nrhs, (~A).data(), lda, (~b).data(), ldb, &info );
207 
208  BLAZE_INTERNAL_ASSERT( info == 0, "Invalid function argument" );
209 }
210 //*************************************************************************************************
211 
212 
213 //*************************************************************************************************
301 template< typename MT1 // Type of the system matrix
302  , bool SO1 // Storage order of the system matrix
303  , typename MT2 // Type of the right-hand side matrix
304  , bool SO2 > // Storage order of the right-hand side matrix
306  char uplo, char trans, char diag )
307 {
308  using boost::numeric_cast;
309 
318 
319  if( !isSquare( ~A ) ) {
320  BLAZE_THROW_INVALID_ARGUMENT( "Invalid non-square matrix provided" );
321  }
322 
323  if( uplo != 'L' && uplo != 'U' ) {
324  BLAZE_THROW_INVALID_ARGUMENT( "Invalid uplo argument provided" );
325  }
326 
327  if( trans != 'N' && trans != 'T' && trans != 'C' ) {
328  BLAZE_THROW_INVALID_ARGUMENT( "Invalid trans argument provided" );
329  }
330 
331  if( diag != 'U' && diag != 'N' ) {
332  BLAZE_THROW_INVALID_ARGUMENT( "Invalid diag argument provided" );
333  }
334 
335  int n ( numeric_cast<int>( (~A).rows() ) );
336  int mrhs( numeric_cast<int>( SO2 ? (~B).rows() : (~B).columns() ) );
337  int nrhs( numeric_cast<int>( SO2 ? (~B).columns() : (~B).rows() ) );
338  int lda ( numeric_cast<int>( (~A).spacing() ) );
339  int ldb ( numeric_cast<int>( (~B).spacing() ) );
340  int info( 0 );
341 
342  if( n != mrhs ) {
343  BLAZE_THROW_INVALID_ARGUMENT( "Matrix sizes do not match" );
344  }
345 
346  if( n == 0 ) {
347  return;
348  }
349 
351  ( uplo == 'L' )?( uplo = 'U' ):( uplo = 'L' );
352  }
353 
354  trtrs( uplo, trans, diag, n, nrhs, (~A).data(), lda, (~B).data(), ldb, &info );
355 
356  BLAZE_INTERNAL_ASSERT( info == 0, "Invalid function argument" );
357 }
358 //*************************************************************************************************
359 
360 } // namespace blaze
361 
362 #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
void trtrs(char uplo, char trans, char diag, int n, int nrhs, const float *A, int lda, float *B, int ldb, int *info)
LAPACK kernel for the substitution step of solving a triangular single precision linear system of equ...
Definition: trtrs.h:133
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.
const DMatTransExpr< MT,!SO > trans(const DenseMatrix< MT, SO > &dm)
Calculation of the transpose of the given dense matrix.
Definition: DMatTransExpr.h:950
BLAZE_ALWAYS_INLINE bool isSquare(const Matrix< MT, SO > &matrix) noexcept
Checks if the given matrix is a square matrix.
Definition: Matrix.h:609
Header file for the CLAPACK trtrs wrapper functions.
#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