trsv.h
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1 //=================================================================================================
33 //=================================================================================================
34 
35 #ifndef _BLAZE_MATH_LAPACK_TRSV_H_
36 #define _BLAZE_MATH_LAPACK_TRSV_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 TRIANGULAR LINEAR SYSTEM FUNCTIONS (TRSV)
64 //
65 //=================================================================================================
66 
67 //*************************************************************************************************
70 template< typename MT, bool SO, typename VT, bool TF >
71 inline void trsv( const DenseMatrix<MT,SO>& A, DenseVector<VT,TF>& b,
72  char uplo, char trans, char diag );
74 //*************************************************************************************************
75 
76 
77 //*************************************************************************************************
166 template< typename MT // Type of the system matrix
167  , bool SO // Storage order of the system matrix
168  , typename VT // Type of the right-hand side vector
169  , bool TF > // Transpose flag of the right-hand side vector
170 inline void trsv( const DenseMatrix<MT,SO>& A, DenseVector<VT,TF>& b, char uplo, char trans, char diag )
171 {
177 
182 
183  if( !isSquare( ~A ) ) {
184  BLAZE_THROW_INVALID_ARGUMENT( "Invalid non-square matrix provided" );
185  }
186 
187  if( (~b).size() != (~A).rows() ) {
188  BLAZE_THROW_INVALID_ARGUMENT( "Invalid right-hand side vector provided" );
189  }
190 
191  if( uplo != 'L' && uplo != 'U' ) {
192  BLAZE_THROW_INVALID_ARGUMENT( "Invalid uplo argument provided" );
193  }
194 
195  if( trans != 'N' && trans != 'T' && trans != 'C' ) {
196  BLAZE_THROW_INVALID_ARGUMENT( "Invalid trans argument provided" );
197  }
198 
199  if( diag != 'U' && diag != 'N' ) {
200  BLAZE_THROW_INVALID_ARGUMENT( "Invalid diag argument provided" );
201  }
202 
203  int n ( numeric_cast<int>( (~A).rows() ) );
204  int lda ( numeric_cast<int>( (~A).spacing() ) );
205  int incX( 1 );
206 
207  if( n == 0 ) {
208  return;
209  }
210 
211  if( IsRowMajorMatrix_v<MT> ) {
212  ( uplo == 'L' )?( uplo = 'U' ):( uplo = 'L' );
213  }
214 
215  trsv( uplo, trans, diag, n, (~A).data(), lda, (~b).data(), incX );
216 }
217 //*************************************************************************************************
218 
219 } // namespace blaze
220 
221 #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:169
#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
void trsv(char uplo, char trans, char diag, int n, const float *A, int lda, float *x, int incX)
LAPACK kernel for solving a triangular single precision linear system of equations ( )...
Definition: trsv.h:132
Header file for the DenseVector base class.
Constraint on the data type.
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:80
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:252
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.
Header file for the CLAPACK trsv wrapper functions.
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
decltype(auto) trans(const DenseMatrix< MT, SO > &dm)
Calculation of the transpose of the given dense matrix.
Definition: DMatTransExpr.h:765
Header file for the IsRowMajorMatrix type trait.
bool isSquare(const Matrix< MT, SO > &matrix) noexcept
Checks if the given matrix is a square matrix.
Definition: Matrix.h:951