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>
51 #include <blaze/util/Assert.h>
53 #include <blaze/util/NumericCast.h>
54 
55 
56 namespace blaze {
57 
58 //=================================================================================================
59 //
60 // LAPACK FUNCTIONS TO RECONSTRUCT Q FROM A RQ DECOMPOSITION (UNGRQ)
61 //
62 //=================================================================================================
63 
64 //*************************************************************************************************
67 template< typename MT, bool SO >
68 inline void ungrq( DenseMatrix<MT,SO>& A, const ElementType_<MT>* tau );
70 //*************************************************************************************************
71 
72 
73 //*************************************************************************************************
118 template< typename MT, bool SO >
119 inline void ungrq( DenseMatrix<MT,SO>& A, const ElementType_<MT>* tau )
120 {
126 
127  using ET = ElementType_<MT>;
128 
129  int n ( numeric_cast<int>( SO ? (~A).columns() : (~A).rows() ) );
130  int m ( numeric_cast<int>( SO ? (~A).rows() : (~A).columns() ) );
131  int k ( min( m, n ) );
132  int lda ( numeric_cast<int>( (~A).spacing() ) );
133  int info( 0 );
134 
135  if( k == 0 ) {
136  return;
137  }
138 
139  int lwork( k*lda );
140  const std::unique_ptr<ET[]> work( new ET[lwork] );
141 
142  if( SO ) {
143  const size_t offset( ( m > n )?( m - n ):( 0UL ) );
144  ungrq( k, n, k, (~A).data()+offset, lda, tau, work.get(), lwork, &info );
145  }
146  else {
147  const size_t offset( ( m < n )?( n - m ):( 0UL ) );
148  ungql( m, k, k, (~A).data(offset), lda, tau, work.get(), lwork, &info );
149  }
150 
151  BLAZE_INTERNAL_ASSERT( info == 0, "Invalid argument for Q reconstruction" );
152 }
153 //*************************************************************************************************
154 
155 } // namespace blaze
156 
157 #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
#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:1762
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:78
Header file for the CLAPACK ungrq wrapper functions.
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:110
Constraint on the data type.
Namespace of the Blaze C++ math library.
Definition: Blaze.h:57
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:340
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
BLAZE_ALWAYS_INLINE size_t rows(const Matrix< MT, SO > &matrix) noexcept
Returns the current number of rows of the matrix.
Definition: Matrix.h:324
#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