ungrq.h
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1 //=================================================================================================
33 //=================================================================================================
34 
35 #ifndef _BLAZE_MATH_LAPACK_UNGRQ_H_
36 #define _BLAZE_MATH_LAPACK_UNGRQ_H_
37 
38 
39 //*************************************************************************************************
40 // Includes
41 //*************************************************************************************************
42 
43 #include <memory>
44 #include <blaze/math/Aliases.h>
52 #include <blaze/util/Assert.h>
54 #include <blaze/util/NumericCast.h>
55 
56 
57 namespace blaze {
58 
59 //=================================================================================================
60 //
61 // LAPACK FUNCTIONS TO RECONSTRUCT Q FROM A RQ DECOMPOSITION (UNGRQ)
62 //
63 //=================================================================================================
64 
65 //*************************************************************************************************
68 template< typename MT, bool SO >
69 inline void ungrq( DenseMatrix<MT,SO>& A, const ElementType_t<MT>* tau );
71 //*************************************************************************************************
72 
73 
74 //*************************************************************************************************
119 template< typename MT, bool SO >
120 inline void ungrq( DenseMatrix<MT,SO>& A, const ElementType_t<MT>* tau )
121 {
128 
129  using ET = ElementType_t<MT>;
130 
131  int n ( numeric_cast<int>( SO ? (~A).columns() : (~A).rows() ) );
132  int m ( numeric_cast<int>( SO ? (~A).rows() : (~A).columns() ) );
133  int k ( min( m, n ) );
134  int lda ( numeric_cast<int>( (~A).spacing() ) );
135  int info( 0 );
136 
137  if( k == 0 ) {
138  return;
139  }
140 
141  int lwork( k*lda );
142  const std::unique_ptr<ET[]> work( new ET[lwork] );
143 
144  if( SO ) {
145  const size_t offset( ( m > n )?( m - n ):( 0UL ) );
146  ungrq( k, n, k, (~A).data()+offset, lda, tau, work.get(), lwork, &info );
147  }
148  else {
149  const size_t offset( ( m < n )?( n - m ):( 0UL ) );
150  ungql( m, k, k, (~A).data(offset), lda, tau, work.get(), lwork, &info );
151  }
152 
153  BLAZE_INTERNAL_ASSERT( info == 0, "Invalid argument for Q reconstruction" );
154 }
155 //*************************************************************************************************
156 
157 } // namespace blaze
158 
159 #endif
Constraint on the data type.
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
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.
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
Header file for the CLAPACK ungrq wrapper functions.
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
decltype(auto) min(const DenseMatrix< MT1, SO1 > &lhs, const DenseMatrix< MT2, SO2 > &rhs)
Computes the componentwise minimum of the dense matrices lhs and rhs.
Definition: DMatDMatMapExpr.h:1147
Header file for the DenseMatrix base class.
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
constexpr size_t rows(const Matrix< MT, SO > &matrix) noexcept
Returns the current number of rows of the matrix.
Definition: Matrix.h:498
#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
void ungrq(int m, int n, int k, complex< float > *A, int lda, const complex< float > *tau, complex< float > *work, int lwork, int *info)
LAPACK kernel for the reconstruction of the orthogonal matrix Q from a RQ decomposition.
Definition: ungrq.h:120
void ungql(int m, int n, int k, complex< float > *A, int lda, const complex< float > *tau, complex< float > *work, int lwork, int *info)
LAPACK kernel for the reconstruction of the orthogonal matrix Q from a QL decomposition.
Definition: ungql.h:120
#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