35 #ifndef _BLAZE_MATH_DENSE_RQ_H_ 36 #define _BLAZE_MATH_DENSE_RQ_H_ 75 template<
typename MT1,
bool SO1,
typename MT2,
bool SO2,
typename MT3,
bool SO3 >
76 void rq(
const DenseMatrix<MT1,SO1>& A, DenseMatrix<MT2,SO2>& R, DenseMatrix<MT3,SO3>& Q );
93 template<
typename MT1 >
94 inline auto rq_backend( MT1& A,
const ElementType_t<MT1>* tau )
95 -> EnableIf_t<IsBuiltin_v< ElementType_t<MT1> > >
115 template<
typename MT1 >
116 inline auto rq_backend( MT1& A,
const ElementType_t<MT1>* tau )
117 -> EnableIf_t<IsComplex_v< ElementType_t<MT1> > >
174 template<
typename MT1
197 const size_t m( (~A).
rows() );
198 const size_t n( (~A).
columns() );
199 const size_t mindim(
min( m, n ) );
201 if( ( !IsResizable_v<MT2> && ( (~R).
rows() != m || (~R).
columns() != mindim ) ) ||
202 ( !IsResizable_v<MT3> && ( (~Q).
rows() != mindim || (~Q).
columns() != n ) ) ) {
206 if( IsSquare_v<MT2> && m != mindim ) {
210 const std::unique_ptr<ET1[]> tau(
new ET1[mindim] );
211 decltype(
auto) r( derestrict( ~R ) );
216 gerqf( ~Q, tau.get() );
218 resize( ~R, m, m,
false );
221 for(
size_t i=0UL; i<m; ++i ) {
222 for(
size_t j=i; j<m; ++j ) {
223 r(i,j) = (~Q)(i,j+n-m);
227 rq_backend( ~Q, tau.get() );
232 gerqf( r, tau.get() );
234 rq_backend( ~Q, tau.get() );
236 for(
size_t i=m-n; i<m; ++i ) {
237 for(
size_t j=0UL; j<i+n-m; ++j ) {
Header file for the implementation of the Submatrix view.
#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
Header file for auxiliary alias declarations.
Headerfile for the generic min algorithm.
decltype(auto) submatrix(Matrix< MT, SO > &, RSAs...)
Creating a view on a specific submatrix of the given matrix.
Definition: Submatrix.h:178
void gerqf(int m, int n, float *A, int lda, float *tau, float *work, int lwork, int *info)
LAPACK kernel for the RQ decomposition of the given dense single precision column-major matrix.
Definition: gerqf.h:147
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:122
void reset(const DiagonalProxy< MT > &proxy)
Resetting the represented element to the default initial values.
Definition: DiagonalProxy.h:595
#define BLAZE_CONSTRAINT_MUST_NOT_BE_UNITRIANGULAR_MATRIX_TYPE(T)
Constraint on the data type.In case the given data type T is a lower or upper unitriangular matrix ty...
Definition: UniTriangular.h:81
void rq(const DenseMatrix< MT1, SO1 > &A, DenseMatrix< MT2, SO2 > &R, DenseMatrix< MT3, SO3 > &Q)
RQ decomposition of the given dense matrix.
Definition: RQ.h:180
Constraint on the data type.
Constraint on the data type.
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
Header file for the LAPACK RQ decomposition functions (gerqf)
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
Constraint on the data type.
Header file for the IsSquare type trait.
Constraint on the data type.
Namespace of the Blaze C++ math library.
Definition: Blaze.h:58
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.
Header file for the exception macros of the math module.
void resize(Matrix< MT, SO > &matrix, size_t rows, size_t columns, bool preserve=true)
Changing the size of the matrix.
Definition: Matrix.h:738
Header file for the EnableIf class template.
Constraint on the data type.
#define BLAZE_CONSTRAINT_MUST_NOT_BE_SYMMETRIC_MATRIX_TYPE(T)
Constraint on the data type.In case the given data type T is a symmetric matrix type,...
Definition: Symmetric.h:79
#define BLAZE_CONSTRAINT_MUST_NOT_BE_LOWER_MATRIX_TYPE(T)
Constraint on the data type.In case the given data type T is a lower triangular matrix type,...
Definition: Lower.h:81
#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
Constraint on the data type.
constexpr size_t rows(const Matrix< MT, SO > &matrix) noexcept
Returns the current number of rows of the matrix.
Definition: Matrix.h:498
Constraint on the data type.
#define BLAZE_CONSTRAINT_MUST_NOT_BE_STRICTLY_TRIANGULAR_MATRIX_TYPE(T)
Constraint on the data type.In case the given data type T is a strictly lower or upper triangular mat...
Definition: StrictlyTriangular.h:81
Header file for the LAPACK functions to reconstruct Q from a RQ decomposition (ungrq)
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:122
#define BLAZE_CONSTRAINT_MUST_NOT_BE_HERMITIAN_MATRIX_TYPE(T)
Constraint on the data type.In case the given data type T is an Hermitian matrix type,...
Definition: Hermitian.h:79
Header file for the IsResizable type trait.
Header file for the LAPACK functions to reconstruct Q from a RQ decomposition (orgrq)