11 #ifndef EIGEN_PARTIALLU_H
12 #define EIGEN_PARTIALLU_H
30 template<
typename T,
typename Derived>
36 template<
typename T,
typename Derived>
77 :
public SolverBase<PartialPivLU<_MatrixType> >
117 template<
typename InputType>
127 template<
typename InputType>
130 template<
typename InputType>
157 #ifdef EIGEN_PARSED_BY_DOXYGEN
175 template<
typename Rhs>
222 #ifndef EIGEN_PARSED_BY_DOXYGEN
223 template<
typename RhsType,
typename DstType>
237 m_lu.template triangularView<UnitLower>().solveInPlace(dst);
240 m_lu.template triangularView<Upper>().solveInPlace(dst);
243 template<
bool Conjugate,
typename RhsType,
typename DstType>
256 dst =
m_lu.template triangularView<Upper>().transpose()
257 .template conjugateIf<Conjugate>().solve(rhs);
259 m_lu.template triangularView<UnitLower>().transpose()
260 .template conjugateIf<Conjugate>().solveInPlace(dst);
283 template<
typename MatrixType>
287 m_rowsTranspositions(),
290 m_isInitialized(false)
294 template<
typename MatrixType>
298 m_rowsTranspositions(
size),
301 m_isInitialized(false)
305 template<
typename MatrixType>
306 template<
typename InputType>
313 m_isInitialized(false)
318 template<
typename MatrixType>
319 template<
typename InputType>
326 m_isInitialized(false)
334 template<
typename Scalar,
int StorageOrder,
typename PivIndex,
int SizeAtCompileTime=Dynamic>
337 static const int UnBlockedBound = 16;
338 static const bool UnBlockedAtCompileTime = SizeAtCompileTime!=
Dynamic && SizeAtCompileTime<=UnBlockedBound;
339 static const int ActualSizeAtCompileTime = UnBlockedAtCompileTime ? SizeAtCompileTime :
Dynamic;
341 static const int RRows = SizeAtCompileTime==2 ? 1 :
Dynamic;
342 static const int RCols = SizeAtCompileTime==2 ? 1 :
Dynamic;
361 typedef typename Scoring::result_type Score;
369 Index first_zero_pivot = -1;
370 for(
Index k = 0; k < endk; ++k)
372 int rrows = internal::convert_index<int>(
rows-k-1);
373 int rcols = internal::convert_index<int>(
cols-k-1);
375 Index row_of_biggest_in_col;
376 Score biggest_in_corner
377 =
lu.col(k).tail(
rows-k).unaryExpr(Scoring()).maxCoeff(&row_of_biggest_in_col);
378 row_of_biggest_in_col += k;
380 row_transpositions[k] = PivIndex(row_of_biggest_in_col);
382 if(biggest_in_corner != Score(0))
384 if(k != row_of_biggest_in_col)
386 lu.row(k).swap(
lu.row(row_of_biggest_in_col));
390 lu.col(k).tail(fix<RRows>(rrows)) /=
lu.coeff(k,k);
392 else if(first_zero_pivot==-1)
396 first_zero_pivot = k;
400 lu.bottomRightCorner(fix<RRows>(rrows),fix<RCols>(rcols)).noalias() -=
lu.col(k).tail(fix<RRows>(rrows)) *
lu.row(k).tail(fix<RCols>(rcols));
404 if(UnBlockedAtCompileTime)
407 row_transpositions[k] = PivIndex(k);
408 if (Scoring()(
lu(k, k)) == Score(0) && first_zero_pivot == -1)
409 first_zero_pivot = k;
412 return first_zero_pivot;
437 if(UnBlockedAtCompileTime ||
size<=UnBlockedBound)
447 blockSize = (blockSize/16)*16;
452 Index first_zero_pivot = -1;
470 PivIndex nb_transpositions_in_panel;
473 Index ret = blocked_lu(trows+bs, bs, &
lu.coeffRef(k,k), luStride,
474 row_transpositions+k, nb_transpositions_in_panel, 16);
475 if(
ret>=0 && first_zero_pivot==-1)
476 first_zero_pivot = k+
ret;
482 Index piv = (row_transpositions[
i] += internal::convert_index<PivIndex>(k));
483 A_0.row(
i).swap(A_0.row(piv));
490 A_2.row(
i).swap(A_2.row(row_transpositions[
i]));
493 A11.template triangularView<UnitLower>().solveInPlace(
A12);
498 return first_zero_pivot;
504 template<
typename MatrixType,
typename TranspositionType>
508 if (
lu.rows() == 0 ||
lu.cols() == 0) {
513 eigen_assert(row_transpositions.size() < 2 || (&row_transpositions.coeffRef(1)-&row_transpositions.coeffRef(0)) == 1);
517 typename TranspositionType::StorageIndex,
519 ::blocked_lu(
lu.rows(),
lu.cols(), &
lu.coeffRef(0,0),
lu.outerStride(), &row_transpositions.coeffRef(0),
nb_transpositions);
524 template<
typename MatrixType>
527 check_template_parameters();
533 m_l1_norm = m_lu.cwiseAbs().colwise().sum().maxCoeff();
537 eigen_assert(m_lu.rows() == m_lu.cols() &&
"PartialPivLU is only for square (and moreover invertible) matrices");
540 m_rowsTranspositions.resize(
size);
546 m_p = m_rowsTranspositions;
548 m_isInitialized =
true;
551 template<
typename MatrixType>
554 eigen_assert(m_isInitialized &&
"PartialPivLU is not initialized.");
555 return Scalar(m_det_p) * m_lu.diagonal().prod();
561 template<
typename MatrixType>
564 eigen_assert(m_isInitialized &&
"LU is not initialized.");
566 MatrixType res = m_lu.template triangularView<UnitLower>().toDenseMatrix()
567 * m_lu.template triangularView<Upper>();
570 res = m_p.inverse() *
res;
580 template<
typename DstXprType,
typename MatrixType>
600 template<
typename Derived>
601 inline const PartialPivLU<typename MatrixBase<Derived>::PlainObject>
615 template<
typename Derived>
624 #endif // EIGEN_PARTIALLU_H