Blaze  3.6
orgr2.h
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1 //=================================================================================================
33 //=================================================================================================
34 
35 #ifndef _BLAZE_MATH_LAPACK_ORGR2_H_
36 #define _BLAZE_MATH_LAPACK_ORGR2_H_
37 
38 
39 //*************************************************************************************************
40 // Includes
41 //*************************************************************************************************
42 
43 #include <memory>
44 #include <blaze/math/Aliases.h>
53 #include <blaze/util/Assert.h>
55 #include <blaze/util/NumericCast.h>
56 
57 
58 namespace blaze {
59 
60 //=================================================================================================
61 //
62 // LAPACK FUNCTIONS TO RECONSTRUCT Q FROM A RQ DECOMPOSITION (ORGR2)
63 //
64 //=================================================================================================
65 
66 //*************************************************************************************************
69 template< typename MT, bool SO >
70 void orgr2( DenseMatrix<MT,SO>& A, const ElementType_t<MT>* tau );
72 //*************************************************************************************************
73 
74 
75 //*************************************************************************************************
118 template< typename MT, bool SO >
119 inline void orgr2( DenseMatrix<MT,SO>& A, const ElementType_t<MT>* tau )
120 {
127 
128  using ET = ElementType_t<MT>;
129 
130  int m ( numeric_cast<int>( SO ? (~A).rows() : (~A).columns() ) );
131  int n ( numeric_cast<int>( SO ? (~A).columns() : (~A).rows() ) );
132  int k ( min( m, n ) );
133  int lda ( numeric_cast<int>( (~A).spacing() ) );
134  int info( 0 );
135 
136  if( k == 0 ) {
137  return;
138  }
139 
140  const std::unique_ptr<ET[]> work( new ET[m] );
141 
142  if( SO ) {
143  const size_t offset( ( m > n )?( m - n ):( 0UL ) );
144  orgr2( k, n, k, (~A).data()+offset, lda, tau, work.get(), &info );
145  }
146  else {
147  const size_t offset( ( m < n )?( n - m ):( 0UL ) );
148  org2l( m, k, k, (~A).data(offset), lda, tau, work.get(), &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
MT::ElementType * data(DenseMatrix< MT, SO > &dm) noexcept
Low-level data access to the dense matrix elements.
Definition: DenseMatrix.h:170
#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
Header file for the CLAPACK orgr2 wrapper functions.
Constraint on the data type.
void orgr2(int m, int n, int k, float *A, int lda, const float *tau, float *work, int *info)
LAPACK kernel for the reconstruction of the orthogonal matrix Q from a RQ decomposition.
Definition: orgr2.h:117
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:81
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:253
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:1162
Header file for the DenseMatrix base class.
void org2l(int m, int n, int k, float *A, int lda, const float *tau, float *work, int *info)
LAPACK kernel for the reconstruction of the orthogonal matrix Q from a QL decomposition.
Definition: org2l.h:117
Constraint on the data type.
Header file for the CLAPACK org2l 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
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_BUILTIN_TYPE(T)
Constraint on the data type.In case the given data type T is not a built-in data type,...
Definition: Builtin.h:60
#define BLAZE_INTERNAL_ASSERT(expr, msg)
Run time assertion macro for internal checks.In case of an invalid run time expression,...
Definition: Assert.h:101
Constraint on the data type.