Blaze  3.6
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 void trsv( const DenseMatrix<MT,SO>& A, DenseVector<VT,TF>& b, char uplo, char trans, char diag );
73 //*************************************************************************************************
74 
75 
76 //*************************************************************************************************
165 template< typename MT // Type of the system matrix
166  , bool SO // Storage order of the system matrix
167  , typename VT // Type of the right-hand side vector
168  , bool TF > // Transpose flag of the right-hand side vector
169 inline void trsv( const DenseMatrix<MT,SO>& A, DenseVector<VT,TF>& b, char uplo, char trans, char diag )
170 {
176 
181 
182  if( !isSquare( ~A ) ) {
183  BLAZE_THROW_INVALID_ARGUMENT( "Invalid non-square matrix provided" );
184  }
185 
186  if( (~b).size() != (~A).rows() ) {
187  BLAZE_THROW_INVALID_ARGUMENT( "Invalid right-hand side vector provided" );
188  }
189 
190  if( uplo != 'L' && uplo != 'U' ) {
191  BLAZE_THROW_INVALID_ARGUMENT( "Invalid uplo argument provided" );
192  }
193 
194  if( trans != 'N' && trans != 'T' && trans != 'C' ) {
195  BLAZE_THROW_INVALID_ARGUMENT( "Invalid trans argument provided" );
196  }
197 
198  if( diag != 'U' && diag != 'N' ) {
199  BLAZE_THROW_INVALID_ARGUMENT( "Invalid diag argument provided" );
200  }
201 
202  int n ( numeric_cast<int>( (~A).rows() ) );
203  int lda ( numeric_cast<int>( (~A).spacing() ) );
204  int incX( 1 );
205 
206  if( n == 0 ) {
207  return;
208  }
209 
210  if( IsRowMajorMatrix_v<MT> ) {
211  ( uplo == 'L' )?( uplo = 'U' ):( uplo = 'L' );
212  }
213 
214  trsv( uplo, trans, diag, n, (~A).data(), lda, (~b).data(), incX );
215 }
216 //*************************************************************************************************
217 
218 } // namespace blaze
219 
220 #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
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:141
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: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.
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