unmql.h
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1 //=================================================================================================
33 //=================================================================================================
34 
35 #ifndef _BLAZE_MATH_LAPACK_UNMQL_H_
36 #define _BLAZE_MATH_LAPACK_UNMQL_H_
37 
38 
39 //*************************************************************************************************
40 // Includes
41 //*************************************************************************************************
42 
43 #include <memory>
44 #include <blaze/math/Aliases.h>
50 #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 FUNCTIONS TO MULTIPLY Q FROM A QL DECOMPOSITION WITH A MATRIX (UNMQL)
64 //
65 //=================================================================================================
66 
67 //*************************************************************************************************
70 template< typename MT1, bool SO, typename MT2 >
71 inline void unmql( DenseMatrix<MT1,SO>& C, const DenseMatrix<MT2,SO>& A,
72  char side, char trans, const ElementType_<MT2>* tau );
74 //*************************************************************************************************
75 
76 
77 //*************************************************************************************************
142 template< typename MT1, bool SO, typename MT2 >
144  char side, char trans, const ElementType_<MT2>* tau )
145 {
151 
157 
158  using ET = ElementType_<MT1>;
159 
160  if( (~A).rows() < (~A).columns() ) {
161  BLAZE_THROW_INVALID_ARGUMENT( "Invalid size of Q matrix" );
162  }
163 
164  if( side != 'L' && side != 'R' ) {
165  BLAZE_THROW_INVALID_ARGUMENT( "Invalid side argument provided" );
166  }
167 
168  if( trans != 'N' && trans != 'C' ) {
169  BLAZE_THROW_INVALID_ARGUMENT( "Invalid trans argument provided" );
170  }
171 
172  int m ( numeric_cast<int>( SO ? (~C).rows() : (~C).columns() ) );
173  int n ( numeric_cast<int>( SO ? (~C).columns() : (~C).rows() ) );
174  int k ( numeric_cast<int>( min( (~A).rows(), (~A).columns() ) ) );
175  int lda ( numeric_cast<int>( (~A).spacing() ) );
176  int ldc ( numeric_cast<int>( (~C).spacing() ) );
177  int info( 0 );
178 
179  if( m == 0 || n == 0 || k == 0 ) {
180  return;
181  }
182 
183  if( !SO ) {
184  ( side == 'L' )?( side = 'R' ):( side = 'L' );
185  }
186 
187  int lwork( k*ldc );
188  const std::unique_ptr<ET[]> work( new ET[lwork] );
189  const size_t offset( (~A).rows() - (~A).columns() );
190 
191  if( SO ) {
192  unmql( side, trans, m, n, k, (~A).data()+offset, lda, tau, (~C).data(), ldc, work.get(), lwork, &info );
193  }
194  else {
195  unmrq( side, trans, m, n, k, (~A).data(offset), lda, tau, (~C).data(), ldc, work.get(), lwork, &info );
196  }
197 
198  BLAZE_INTERNAL_ASSERT( info == 0, "Invalid argument for Q multiplication" );
199 }
200 //*************************************************************************************************
201 
202 } // namespace blaze
203 
204 #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 the CLAPACK unmrq wrapper functions.
Header file for auxiliary alias declarations.
#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
#define BLAZE_CONSTRAINT_MUST_HAVE_CONST_DATA_ACCESS(T)
Constraint on the data type.In case the given data type T does not provide low-level data access to c...
Definition: ConstDataAccess.h:61
void unmrq(char side, char trans, int m, int n, int k, const complex< float > *A, int lda, const complex< float > *tau, complex< float > *C, int ldc, complex< float > *work, int lwork, int *info)
LAPACK kernel for the multiplication of the single precision Q from a RQ decomposition with another m...
Definition: unmrq.h:138
#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.
const ElementType_< MT > min(const DenseMatrix< MT, SO > &dm)
Returns the smallest element of the dense matrix.
Definition: DenseMatrix.h:1903
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
BLAZE_ALWAYS_INLINE 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
Header file for the CLAPACK unmql wrapper functions.
void unmql(char side, char trans, int m, int n, int k, const complex< float > *A, int lda, const complex< float > *tau, complex< float > *C, int ldc, complex< float > *work, int lwork, int *info)
LAPACK kernel for the multiplication of the single precision Q from a QL decomposition with another m...
Definition: unmql.h:138
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
BLAZE_ALWAYS_INLINE size_t columns(const Matrix< MT, SO > &matrix) noexcept
Returns the current number of columns of the matrix.
Definition: Matrix.h:506
Header file for the exception macros of the math module.
Constraint on the data type.
Header file for run time assertion macros.
Constraint on the data type.
#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:490
BLAZE_ALWAYS_INLINE MT::ElementType * data(DenseMatrix< MT, SO > &dm) noexcept
Low-level data access to the dense matrix elements.
Definition: DenseMatrix.h:169
decltype(auto) trans(const DenseMatrix< MT, SO > &dm)
Calculation of the transpose of the given dense matrix.
Definition: DMatTransExpr.h:789
#define BLAZE_CONSTRAINT_MUST_BE_COMPLEX_TYPE(T)
Constraint on the data type.This compile time constraint checks that the given data type T is a compl...
Definition: Complex.h:62
#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