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// This file is part of Eigen, a lightweight C++ template library
// for linear algebra.
//
// Copyright (C) 2011 Gael Guennebaud <gael.guennebaud@inria.fr>
//
// This Source Code Form is subject to the terms of the Mozilla
// Public License v. 2.0. If a copy of the MPL was not distributed
// with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
#include "sparse.h"
template<int OtherStorage, typename SparseMatrixType> void sparse_permutations(const SparseMatrixType& ref){ typedef typename SparseMatrixType::Index Index;
const Index rows = ref.rows(); const Index cols = ref.cols(); typedef typename SparseMatrixType::Scalar Scalar; typedef typename SparseMatrixType::Index Index; typedef SparseMatrix<Scalar, OtherStorage, Index> OtherSparseMatrixType; typedef Matrix<Scalar,Dynamic,Dynamic> DenseMatrix; typedef Matrix<Index,Dynamic,1> VectorI; double density = (std::max)(8./(rows*cols), 0.01); SparseMatrixType mat(rows, cols), up(rows,cols), lo(rows,cols); OtherSparseMatrixType res; DenseMatrix mat_d = DenseMatrix::Zero(rows, cols), up_sym_d, lo_sym_d, res_d; initSparse<Scalar>(density, mat_d, mat, 0);
up = mat.template triangularView<Upper>(); lo = mat.template triangularView<Lower>(); up_sym_d = mat_d.template selfadjointView<Upper>(); lo_sym_d = mat_d.template selfadjointView<Lower>(); VERIFY_IS_APPROX(mat, mat_d); VERIFY_IS_APPROX(up, DenseMatrix(mat_d.template triangularView<Upper>())); VERIFY_IS_APPROX(lo, DenseMatrix(mat_d.template triangularView<Lower>())); PermutationMatrix<Dynamic> p, p_null; VectorI pi; randomPermutationVector(pi, cols); p.indices() = pi;
res = mat*p; res_d = mat_d*p; VERIFY(res.isApprox(res_d) && "mat*p");
res = p*mat; res_d = p*mat_d; VERIFY(res.isApprox(res_d) && "p*mat");
res = mat*p.inverse(); res_d = mat*p.inverse(); VERIFY(res.isApprox(res_d) && "mat*inv(p)");
res = p.inverse()*mat; res_d = p.inverse()*mat_d; VERIFY(res.isApprox(res_d) && "inv(p)*mat");
res = mat.twistedBy(p); res_d = (p * mat_d) * p.inverse(); VERIFY(res.isApprox(res_d) && "p*mat*inv(p)");
res = mat.template selfadjointView<Upper>().twistedBy(p_null); res_d = up_sym_d; VERIFY(res.isApprox(res_d) && "full selfadjoint upper to full"); res = mat.template selfadjointView<Lower>().twistedBy(p_null); res_d = lo_sym_d; VERIFY(res.isApprox(res_d) && "full selfadjoint lower to full"); res = up.template selfadjointView<Upper>().twistedBy(p_null); res_d = up_sym_d; VERIFY(res.isApprox(res_d) && "upper selfadjoint to full"); res = lo.template selfadjointView<Lower>().twistedBy(p_null); res_d = lo_sym_d; VERIFY(res.isApprox(res_d) && "lower selfadjoint full");
res = mat.template selfadjointView<Upper>(); res_d = up_sym_d; VERIFY(res.isApprox(res_d) && "full selfadjoint upper to full");
res = mat.template selfadjointView<Lower>(); res_d = lo_sym_d; VERIFY(res.isApprox(res_d) && "full selfadjoint lower to full");
res = up.template selfadjointView<Upper>(); res_d = up_sym_d; VERIFY(res.isApprox(res_d) && "upper selfadjoint to full");
res = lo.template selfadjointView<Lower>(); res_d = lo_sym_d; VERIFY(res.isApprox(res_d) && "lower selfadjoint full");
res.template selfadjointView<Upper>() = mat.template selfadjointView<Upper>(); res_d = up_sym_d.template triangularView<Upper>(); VERIFY(res.isApprox(res_d) && "full selfadjoint upper to upper");
res.template selfadjointView<Lower>() = mat.template selfadjointView<Upper>(); res_d = up_sym_d.template triangularView<Lower>(); VERIFY(res.isApprox(res_d) && "full selfadjoint upper to lower");
res.template selfadjointView<Upper>() = mat.template selfadjointView<Lower>(); res_d = lo_sym_d.template triangularView<Upper>(); VERIFY(res.isApprox(res_d) && "full selfadjoint lower to upper");
res.template selfadjointView<Lower>() = mat.template selfadjointView<Lower>(); res_d = lo_sym_d.template triangularView<Lower>(); VERIFY(res.isApprox(res_d) && "full selfadjoint lower to lower");
res.template selfadjointView<Upper>() = mat.template selfadjointView<Upper>().twistedBy(p); res_d = ((p * up_sym_d) * p.inverse()).eval().template triangularView<Upper>(); VERIFY(res.isApprox(res_d) && "full selfadjoint upper twisted to upper"); res.template selfadjointView<Upper>() = mat.template selfadjointView<Lower>().twistedBy(p); res_d = ((p * lo_sym_d) * p.inverse()).eval().template triangularView<Upper>(); VERIFY(res.isApprox(res_d) && "full selfadjoint lower twisted to upper"); res.template selfadjointView<Lower>() = mat.template selfadjointView<Lower>().twistedBy(p); res_d = ((p * lo_sym_d) * p.inverse()).eval().template triangularView<Lower>(); VERIFY(res.isApprox(res_d) && "full selfadjoint lower twisted to lower"); res.template selfadjointView<Lower>() = mat.template selfadjointView<Upper>().twistedBy(p); res_d = ((p * up_sym_d) * p.inverse()).eval().template triangularView<Lower>(); VERIFY(res.isApprox(res_d) && "full selfadjoint upper twisted to lower"); res.template selfadjointView<Upper>() = up.template selfadjointView<Upper>().twistedBy(p); res_d = ((p * up_sym_d) * p.inverse()).eval().template triangularView<Upper>(); VERIFY(res.isApprox(res_d) && "upper selfadjoint twisted to upper"); res.template selfadjointView<Upper>() = lo.template selfadjointView<Lower>().twistedBy(p); res_d = ((p * lo_sym_d) * p.inverse()).eval().template triangularView<Upper>(); VERIFY(res.isApprox(res_d) && "lower selfadjoint twisted to upper"); res.template selfadjointView<Lower>() = lo.template selfadjointView<Lower>().twistedBy(p); res_d = ((p * lo_sym_d) * p.inverse()).eval().template triangularView<Lower>(); VERIFY(res.isApprox(res_d) && "lower selfadjoint twisted to lower"); res.template selfadjointView<Lower>() = up.template selfadjointView<Upper>().twistedBy(p); res_d = ((p * up_sym_d) * p.inverse()).eval().template triangularView<Lower>(); VERIFY(res.isApprox(res_d) && "upper selfadjoint twisted to lower");
res = mat.template selfadjointView<Upper>().twistedBy(p); res_d = (p * up_sym_d) * p.inverse(); VERIFY(res.isApprox(res_d) && "full selfadjoint upper twisted to full"); res = mat.template selfadjointView<Lower>().twistedBy(p); res_d = (p * lo_sym_d) * p.inverse(); VERIFY(res.isApprox(res_d) && "full selfadjoint lower twisted to full"); res = up.template selfadjointView<Upper>().twistedBy(p); res_d = (p * up_sym_d) * p.inverse(); VERIFY(res.isApprox(res_d) && "upper selfadjoint twisted to full"); res = lo.template selfadjointView<Lower>().twistedBy(p); res_d = (p * lo_sym_d) * p.inverse(); VERIFY(res.isApprox(res_d) && "lower selfadjoint twisted to full");}
template<typename Scalar> void sparse_permutations_all(int size){ CALL_SUBTEST(( sparse_permutations<ColMajor>(SparseMatrix<Scalar, ColMajor>(size,size)) )); CALL_SUBTEST(( sparse_permutations<ColMajor>(SparseMatrix<Scalar, RowMajor>(size,size)) )); CALL_SUBTEST(( sparse_permutations<RowMajor>(SparseMatrix<Scalar, ColMajor>(size,size)) )); CALL_SUBTEST(( sparse_permutations<RowMajor>(SparseMatrix<Scalar, RowMajor>(size,size)) ));}
void test_sparse_permutations(){ for(int i = 0; i < g_repeat; i++) { int s = Eigen::internal::random<int>(1,50); CALL_SUBTEST_1(( sparse_permutations_all<double>(s) )); CALL_SUBTEST_2(( sparse_permutations_all<std::complex<double> >(s) )); }}
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