orgrq.h
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1 //=================================================================================================
33 //=================================================================================================
34 
35 #ifndef _BLAZE_MATH_LAPACK_ORGRQ_H_
36 #define _BLAZE_MATH_LAPACK_ORGRQ_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 (ORGRQ)
62 //
63 //=================================================================================================
64 
65 //*************************************************************************************************
68 template< typename MT, bool SO >
69 inline void orgrq( DenseMatrix<MT,SO>& A, const ElementType_<MT>* tau );
71 //*************************************************************************************************
72 
73 
74 //*************************************************************************************************
117 template< typename MT, bool SO >
118 inline void orgrq( DenseMatrix<MT,SO>& A, const ElementType_<MT>* tau )
119 {
125 
126  using ET = ElementType_<MT>;
127 
128  int m ( numeric_cast<int>( SO ? (~A).rows() : (~A).columns() ) );
129  int n ( numeric_cast<int>( SO ? (~A).columns() : (~A).rows() ) );
130  int k ( min( m, n ) );
131  int lda ( numeric_cast<int>( (~A).spacing() ) );
132  int info( 0 );
133 
134  if( k == 0 ) {
135  return;
136  }
137 
138  int lwork( k*lda );
139  const std::unique_ptr<ET[]> work( new ET[lwork] );
140 
141  if( SO ) {
142  const size_t offset( ( m > n )?( m - n ):( 0UL ) );
143  orgrq( k, n, k, (~A).data()+offset, lda, tau, work.get(), lwork, &info );
144  }
145  else {
146  const size_t offset( ( m < n )?( n - m ):( 0UL ) );
147  orgql( m, k, k, (~A).data(offset), lda, tau, work.get(), lwork, &info );
148  }
149 
150  BLAZE_INTERNAL_ASSERT( info == 0, "Invalid argument for Q reconstruction" );
151 }
152 //*************************************************************************************************
153 
154 } // namespace blaze
155 
156 #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
void orgrq(int m, int n, int k, float *A, int lda, const float *tau, float *work, int lwork, int *info)
LAPACK kernel for the reconstruction of the orthogonal matrix Q from a RQ decomposition.
Definition: orgrq.h:120
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.
Header file for the CLAPACK orgrq wrapper functions.
Namespace of the Blaze C++ math library.
Definition: Blaze.h:58
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
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
Header file for the CLAPACK orgql wrapper functions.
#define BLAZE_CONSTRAINT_MUST_BE_BUILTIN_TYPE(T)
Constraint on the data type.In case the given data type T is not a built-in data type, a compilation error is created.
Definition: Builtin.h:60
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
void orgql(int m, int n, int k, float *A, int lda, const float *tau, float *work, int lwork, int *info)
LAPACK kernel for the reconstruction of the orthogonal matrix Q from a QL decomposition.
Definition: orgql.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
Constraint on the data type.