trtri.h
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1 //=================================================================================================
33 //=================================================================================================
34 
35 #ifndef _BLAZE_MATH_LAPACK_TRTRI_H_
36 #define _BLAZE_MATH_LAPACK_TRTRI_H_
37 
38 
39 //*************************************************************************************************
40 // Includes
41 //*************************************************************************************************
42 
43 #include <blaze/math/Aliases.h>
49 #include <blaze/math/Exception.h>
53 #include <blaze/util/Assert.h>
54 #include <blaze/util/NumericCast.h>
55 
56 
57 namespace blaze {
58 
59 //=================================================================================================
60 //
61 // LAPACK TRIANGULAR MATRIX INVERSION FUNCTIONS (TRTRI)
62 //
63 //=================================================================================================
64 
65 //*************************************************************************************************
68 template< typename MT, bool SO >
69 inline void trtri( DenseMatrix<MT,SO>& A, char uplo, char diag );
71 //*************************************************************************************************
72 
73 
74 //*************************************************************************************************
114 template< typename MT // Type of the dense matrix
115  , bool SO > // Storage order of the dense matrix
116 inline void trtri( DenseMatrix<MT,SO>& A, char uplo, char diag )
117 {
123 
124  if( !isSquare( ~A ) ) {
125  BLAZE_THROW_INVALID_ARGUMENT( "Invalid non-square matrix provided" );
126  }
127 
128  if( uplo != 'L' && uplo != 'U' ) {
129  BLAZE_THROW_INVALID_ARGUMENT( "Invalid uplo argument provided" );
130  }
131 
132  if( diag != 'U' && diag != 'N' ) {
133  BLAZE_THROW_INVALID_ARGUMENT( "Invalid diag argument provided" );
134  }
135 
136  int n ( numeric_cast<int>( (~A).columns() ) );
137  int lda ( numeric_cast<int>( (~A).spacing() ) );
138  int info( 0 );
139 
140  if( n == 0 ) {
141  return;
142  }
143 
144  if( IsRowMajorMatrix_v<MT> ) {
145  ( uplo == 'L' )?( uplo = 'U' ):( uplo = 'L' );
146  }
147 
148  trtri( uplo, diag, n, (~A).data(), lda, &info );
149 
150  BLAZE_INTERNAL_ASSERT( info >= 0, "Invalid argument for matrix inversion" );
151 
152  if( info > 0 ) {
153  BLAZE_THROW_LAPACK_ERROR( "Inversion of singular matrix failed" );
154  }
155 }
156 //*************************************************************************************************
157 
158 } // namespace blaze
159 
160 #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.
void trtri(char uplo, char diag, int n, float *A, int lda, int *info)
LAPACK kernel for the inversion of the given dense triangular single precision column-major matrix...
Definition: trtri.h:124
#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
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: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.
Header file for the exception macros of the math module.
Constraint on the data type.
Header file for the CLAPACK trtri wrapper functions.
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
Header file for the IsRowMajorMatrix type trait.
#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, 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