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@@ -26,9 +26,7 @@
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#ifndef EIGEN_ORDERING_H
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#define EIGEN_ORDERING_H
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#include <Eigen_Colamd.h>
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#include <Amd.h>
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#include "Amd.h"
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namespace Eigen {
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template<class Derived>
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class OrderingBase
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@@ -68,8 +66,23 @@ class OrderingBase
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if (m_isInitialized = true) return m_P;
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else abort(); // FIXME Should find a smoother way to exit with error code
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}
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/**
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* Get the symmetric pattern A^T+A from the input matrix A.
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* FIXME: The values should not be considered here
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*/
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template<typename MatrixType>
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void at_plus_a(const MatrixType& mat);
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void at_plus_a(const MatrixType& mat)
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{
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MatrixType C;
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C = mat.transpose(); // NOTE: Could be costly
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for (int i = 0; i < C.rows(); i++)
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{
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for (typename MatrixType::InnerIterator it(C, i); it; ++it)
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it.valueRef() = 0.0;
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}
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m_mat = C + mat;
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}
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/** keeps off-diagonal entries; drops diagonal entries */
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struct keep_diag {
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@@ -87,99 +100,30 @@ class OrderingBase
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PermutationType m_P; // The computed permutation
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mutable bool m_isInitialized;
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SparseMatrix<Scalar,ColMajor,Index> m_mat; // Stores the (symmetrized) matrix to permute
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}
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/**
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* Get the symmetric pattern A^T+A from the input matrix A.
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* NOTE: The values should not be considered here
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*/
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template<typename MatrixType>
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void OrderingBase::at_plus_a(const MatrixType& mat)
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{
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MatrixType C;
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C = mat.transpose(); // NOTE: Could be costly
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for (int i = 0; i < C.rows(); i++)
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{
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for (typename MatrixType::InnerIterator it(C, i); it; ++it)
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it.valueRef() = 0.0;
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}
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m_mat = C + mat;
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/**
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* Get the column approximate minimum degree ordering
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* The matrix should be in column-major format
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*/
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template<typename Scalar, typename Index>
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class COLAMDOrdering: public OrderingBase< ColamdOrdering<Scalar, Index> >
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{
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public:
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typedef OrderingBase< ColamdOrdering<Scalar, Index> > Base;
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typedef SparseMatrix<Scalar,ColMajor,Index> MatrixType;
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public:
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COLAMDOrdering():Base() {}
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COLAMDOrdering(const MatrixType& matrix):Base()
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{
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compute(matrix);
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}
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COLAMDOrdering(const MatrixType& mat, PermutationType& perm_c):Base()
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{
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compute(matrix);
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perm_c = this.get_perm();
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}
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void compute(const MatrixType& mat)
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{
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// Test if the matrix is column major...
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int m = mat.rows();
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int n = mat.cols();
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int nnz = mat.nonZeros();
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// Get the recommended value of Alen to be used by colamd
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int Alen = colamd_recommended(nnz, m, n);
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// Set the default parameters
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double knobs[COLAMD_KNOBS];
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colamd_set_defaults(knobs);
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int info;
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VectorXi p(n), A(nnz);
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for(int i=0; i < n; i++) p(i) = mat.outerIndexPtr()(i);
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for(int i=0; i < nnz; i++) A(i) = mat.innerIndexPtr()(i);
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// Call Colamd routine to compute the ordering
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info = colamd(m, n, Alen, A,p , knobs, stats)
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eigen_assert( (info != FALSE)&& "COLAMD failed " );
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m_P.resize(n);
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for (int i = 0; i < n; i++) m_P(p(i)) = i;
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m_isInitialized = true;
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}
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protected:
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using Base::m_isInitialized;
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using Base m_P;
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}
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};
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/**
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* Get the approximate minimum degree ordering
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* If the matrix is not structurally symmetric, an ordering of A^T+A is computed
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* \tparam Scalar The type of the scalar of the matrix for which the ordering is applied
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* \tparam Index The type of indices of the matrix
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* \tparam _UpLo If the matrix is symmetric, indicates which part to use
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*/
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template <typename Scalar, typename Index, typename _UpLo>
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class AMDordering : public OrderingBase<AMDOrdering<Scalar, Index> >
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template <typename Scalar, typename Index>
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class AMDOrdering : public OrderingBase<AMDOrdering<Scalar, Index> >
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{
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public:
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enum { UpLo = _UpLo };
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typedef OrderingBase< AMDOrdering<Scalar, Index> > Base;
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typedef SparseMatrix<Scalar, ColMajor,Index> MatrixType;
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typedef PermutationMatrix<Dynamic, Dynamic, Index> PermutationType;
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public:
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AMDOrdering():Base(){}
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AMDOrdering(const MatrixType& mat):Base()
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{
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compute(matrix);
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compute(mat);
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}
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AMDOrdering(const MatrixType& mat, PermutationType& perm_c):Base()
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{
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compute(matrix);
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compute(mat);
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perm_c = this.get_perm();
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}
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/** Compute the permutation vector from a column-major sparse matrix */
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@@ -200,15 +144,75 @@ class AMDordering : public OrderingBase<AMDOrdering<Scalar, Index> >
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m_mat = mat;
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// Call the AMD routine
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m_mat.prune(keep_diag());
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m_mat.prune(keep_diag()); //Remove the diagonal elements
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internal::minimum_degree_ordering(m_mat, m_P);
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if (m_P.size()>0) m_isInitialized = true;
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}
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protected:
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struct keep_diag{
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inline bool operator() (const Index& row, const Index& col, const Scalar&) const
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{
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return row!=col;
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}
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};
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using Base::m_isInitialized;
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using Base::m_P;
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using Base::m_mat;
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}
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};
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/**
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* Get the column approximate minimum degree ordering
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* The matrix should be in column-major format
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*/
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// template<typename Scalar, typename Index>
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// class COLAMDOrdering: public OrderingBase< ColamdOrdering<Scalar, Index> >
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// {
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// public:
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// typedef OrderingBase< ColamdOrdering<Scalar, Index> > Base;
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// typedef SparseMatrix<Scalar,ColMajor,Index> MatrixType;
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//
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// public:
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// COLAMDOrdering():Base() {}
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//
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// COLAMDOrdering(const MatrixType& matrix):Base()
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// {
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// compute(matrix);
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// }
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// COLAMDOrdering(const MatrixType& mat, PermutationType& perm_c):Base()
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// {
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// compute(matrix);
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// perm_c = this.get_perm();
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// }
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// void compute(const MatrixType& mat)
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// {
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// // Test if the matrix is column major...
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//
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// int m = mat.rows();
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// int n = mat.cols();
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// int nnz = mat.nonZeros();
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// // Get the recommended value of Alen to be used by colamd
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// int Alen = colamd_recommended(nnz, m, n);
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// // Set the default parameters
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// double knobs[COLAMD_KNOBS];
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// colamd_set_defaults(knobs);
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//
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// int info;
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// VectorXi p(n), A(nnz);
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// for(int i=0; i < n; i++) p(i) = mat.outerIndexPtr()(i);
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// for(int i=0; i < nnz; i++) A(i) = mat.innerIndexPtr()(i);
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// // Call Colamd routine to compute the ordering
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// info = colamd(m, n, Alen, A,p , knobs, stats)
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// eigen_assert( (info != FALSE)&& "COLAMD failed " );
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//
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// m_P.resize(n);
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// for (int i = 0; i < n; i++) m_P(p(i)) = i;
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// m_isInitialized = true;
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// }
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// protected:
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// using Base::m_isInitialized;
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// using Base m_P;
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// };
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} // end namespace Eigen
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#endif
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