35 #ifndef _BLAZE_MATH_DENSE_LU_H_ 36 #define _BLAZE_MATH_DENSE_LU_H_ 73 template<
typename MT1,
bool SO1,
typename MT2,
typename MT3,
typename MT4,
bool SO2 >
74 void lu(
const DenseMatrix<MT1,SO1>& A, DenseMatrix<MT2,SO1>& L,
75 DenseMatrix<MT3,SO1>& U, Matrix<MT4,SO2>& P );
93 template<
typename MT1
97 void lu( DenseMatrix<MT1,SO1>& A, Matrix<MT2,SO2>& P )
103 using ET = ElementType_<MT2>;
105 const int m( numeric_cast<int>( (~A).
rows() ) );
106 const int n( numeric_cast<int>( (~A).
columns() ) );
107 const int mindim(
min( m, n ) );
108 const int size( SO1 ? m : n );
110 const std::unique_ptr<int[]> helper(
new int[mindim +
size] );
111 int* ipiv ( helper.get() );
112 int* permut( ipiv + mindim );
116 for(
int i=0; i<
size; ++i ) {
120 for(
int i=0; i<mindim; ++i ) {
127 resize( ~P, size, size,
false );
129 for(
int i=0; i<
size; ++i ) {
130 (~P)( ( SO1 ? permut[i] : i ), ( SO1 ? i : permut[i] ) ) = ET(1);
213 template<
typename MT1
238 const size_t m( (~A).
rows() );
239 const size_t n( (~A).
columns() );
240 const size_t mindim(
min( m, n ) );
241 const size_t size( SO1 ? m : n );
253 decltype(
auto) l( derestrict( ~L ) );
254 decltype(
auto) u( derestrict( ~U ) );
261 resize( ~L, m, m,
false );
266 for(
size_t i=0UL; i<m; ++i )
268 for(
size_t j=0UL; j<i; ++j ) {
279 for(
size_t j=0UL; j<m; ++j )
283 for(
size_t i=j+1UL; i<m; ++i ) {
295 resize( ~U, n, n,
false );
300 for(
size_t i=0UL; i<n; ++i )
304 for(
size_t j=i+1UL; j<n; ++j ) {
312 for(
size_t j=0UL; j<n; ++j )
314 for(
size_t i=0UL; i<j; ++i ) {
#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.
BLAZE_ALWAYS_INLINE size_t size(const Vector< VT, TF > &vector) noexcept
Returns the current size/dimension of the vector.
Definition: Vector.h:265
void reset(const DiagonalProxy< MT > &proxy)
Resetting the represented element to the default initial values.
Definition: DiagonalProxy.h:560
const ElementType_< MT > min(const DenseMatrix< MT, SO > &dm)
Returns the smallest element of the dense matrix.
Definition: DenseMatrix.h:1762
#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
Constraint on the data type.
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
Constraint on the data type.
Constraint on the data type.
Namespace of the Blaze C++ math library.
Definition: Blaze.h:57
void swap(CompressedMatrix< Type, SO > &a, CompressedMatrix< Type, SO > &b) noexcept
Swapping the contents of two compressed matrices.
Definition: CompressedMatrix.h:5924
Header file for the DenseMatrix base class.
void lu(const DenseMatrix< MT1, SO1 > &A, DenseMatrix< MT2, SO1 > &L, DenseMatrix< MT3, SO1 > &U, Matrix< MT4, SO2 > &P)
LU decomposition of the given dense matrix.
Definition: LU.h:219
typename T::ElementType ElementType_
Alias declaration for nested ElementType type definitions.The ElementType_ alias declaration provides...
Definition: Aliases.h:163
Compile time check for square matrices.This type trait tests whether or not the given template parame...
Definition: IsSquare.h:88
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
Header file for the exception macros of the math module.
#define BLAZE_CONSTRAINT_MUST_NOT_BE_UPPER_MATRIX_TYPE(T)
Constraint on the data type.In case the given data type T is a upper triangular matrix type...
Definition: Upper.h:81
BLAZE_ALWAYS_INLINE void resize(Matrix< MT, SO > &matrix, size_t rows, size_t columns, bool preserve=true)
Changing the size of the matrix.
Definition: Matrix.h:548
Constraint on the data type.
Compile time check for resizable data types.This type trait tests whether the given data type is a re...
Definition: IsResizable.h:75
#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, a compilation error is created.
Definition: Symmetric.h:79
void getrf(int m, int n, float *A, int lda, int *ipiv, int *info)
LAPACK kernel for the LU decomposition of the given dense general single precision column-major matri...
Definition: getrf.h:131
Constraint on the data type.
#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
Base class for matrices.The Matrix class is a base class for all dense and sparse matrix classes with...
Definition: Forward.h:101
#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.
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
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
const bool rowMajor
Storage order flag for row-major matrices.
Definition: StorageOrder.h:71
#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, a compilation error is created.
Definition: Hermitian.h:79
Header file for the IsResizable type trait.
Header file for the LAPACK LU decomposition functions (getrf)