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* bybye Part, welcome TriangularView and SelfAdjointView.

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* move solveTriangular*() to TriangularView::solve*()
* move .llt() to SelfAdjointView
* add a high level wrapper to the efficient selfadjoint * vector product
* improve LLT so that we can specify which triangular part is meaningless
=> there are still many things to do (doc, cleaning, improve the matrix products, etc.)
This commit is contained in:
Gael Guennebaud
2009-07-06 23:43:20 +02:00
parent 08e419dcb1
commit 1aea45335f
16 changed files with 1103 additions and 514 deletions
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57
test/triangular.cpp
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@@ -1,4 +1,4 @@
// This file is part of Eigen, a lightweight C++ template library
// This file is triangularView of Eigen, a lightweight C++ template library
// for linear algebra.
//
// Copyright (C) 2008 Gael Guennebaud <gael.guennebaud@gmail.com>
@@ -51,8 +51,8 @@ template<typename MatrixType> void triangular(const MatrixType& m)
v2 = VectorType::Random(rows),
vzero = VectorType::Zero(rows);
MatrixType m1up = m1.template part<Eigen::UpperTriangular>();
MatrixType m2up = m2.template part<Eigen::UpperTriangular>();
MatrixType m1up = m1.template triangularView<Eigen::UpperTriangular>();
MatrixType m2up = m2.template triangularView<Eigen::UpperTriangular>();
if (rows*cols>1)
{
@@ -66,22 +66,22 @@ template<typename MatrixType> void triangular(const MatrixType& m)
// test overloaded operator+=
r1.setZero();
r2.setZero();
r1.template part<Eigen::UpperTriangular>() += m1;
r1.template triangularView<Eigen::UpperTriangular>() += m1;
r2 += m1up;
VERIFY_IS_APPROX(r1,r2);
// test overloaded operator=
m1.setZero();
m1.template part<Eigen::UpperTriangular>() = (m2.transpose() * m2).lazy();
m1.template triangularView<Eigen::UpperTriangular>() = (m2.transpose() * m2).lazy();
m3 = m2.transpose() * m2;
VERIFY_IS_APPROX(m3.template part<Eigen::LowerTriangular>().transpose(), m1);
VERIFY_IS_APPROX(m3.template triangularView<Eigen::LowerTriangular>().transpose().toDense(), m1);
// test overloaded operator=
m1.setZero();
m1.template part<Eigen::LowerTriangular>() = (m2.transpose() * m2).lazy();
VERIFY_IS_APPROX(m3.template part<Eigen::LowerTriangular>(), m1);
m1.template triangularView<Eigen::LowerTriangular>() = (m2.transpose() * m2).lazy();
VERIFY_IS_APPROX(m3.template triangularView<Eigen::LowerTriangular>().toDense(), m1);
VERIFY_IS_APPROX(m3.template part<DiagonalBits>(), m3.diagonal().asDiagonal());
// VERIFY_IS_APPROX(m3.template triangularView<DiagonalBits>(), m3.diagonal().asDiagonal());
m1 = MatrixType::Random(rows, cols);
for (int i=0; i<rows; ++i)
@@ -89,37 +89,42 @@ template<typename MatrixType> void triangular(const MatrixType& m)
Transpose<MatrixType> trm4(m4);
// test back and forward subsitution
m3 = m1.template part<Eigen::LowerTriangular>();
VERIFY(m3.template marked<Eigen::LowerTriangular>().solveTriangular(m3).cwise().abs().isIdentity(test_precision<RealScalar>()));
VERIFY(m3.transpose().template marked<Eigen::UpperTriangular>()
.solveTriangular(m3.transpose()).cwise().abs().isIdentity(test_precision<RealScalar>()));
m3 = m1.template triangularView<Eigen::LowerTriangular>();
VERIFY(m3.template triangularView<Eigen::LowerTriangular>().solve(m3).cwise().abs().isIdentity(test_precision<RealScalar>()));
VERIFY(m3.transpose().template triangularView<Eigen::UpperTriangular>()
.solve(m3.transpose()).cwise().abs().isIdentity(test_precision<RealScalar>()));
// check M * inv(L) using in place API
m4 = m3;
m3.transpose().template marked<Eigen::UpperTriangular>().solveTriangularInPlace(trm4);
m3.transpose().template triangularView<Eigen::UpperTriangular>().solveInPlace(trm4);
VERIFY(m4.cwise().abs().isIdentity(test_precision<RealScalar>()));
m3 = m1.template part<Eigen::UpperTriangular>();
VERIFY(m3.template marked<Eigen::UpperTriangular>().solveTriangular(m3).cwise().abs().isIdentity(test_precision<RealScalar>()));
VERIFY(m3.transpose().template marked<Eigen::LowerTriangular>()
.solveTriangular(m3.transpose()).cwise().abs().isIdentity(test_precision<RealScalar>()));
m3 = m1.template triangularView<Eigen::UpperTriangular>();
VERIFY(m3.template triangularView<Eigen::UpperTriangular>().solve(m3).cwise().abs().isIdentity(test_precision<RealScalar>()));
VERIFY(m3.transpose().template triangularView<Eigen::LowerTriangular>()
.solve(m3.transpose()).cwise().abs().isIdentity(test_precision<RealScalar>()));
// check M * inv(U) using in place API
m4 = m3;
m3.transpose().template marked<Eigen::LowerTriangular>().solveTriangularInPlace(trm4);
m3.transpose().template triangularView<Eigen::LowerTriangular>().solveInPlace(trm4);
VERIFY(m4.cwise().abs().isIdentity(test_precision<RealScalar>()));
m3 = m1.template part<Eigen::UpperTriangular>();
VERIFY(m2.isApprox(m3 * (m3.template marked<Eigen::UpperTriangular>().solveTriangular(m2)), largerEps));
m3 = m1.template part<Eigen::LowerTriangular>();
VERIFY(m2.isApprox(m3 * (m3.template marked<Eigen::LowerTriangular>().solveTriangular(m2)), largerEps));
m3 = m1.template triangularView<Eigen::UpperTriangular>();
VERIFY(m2.isApprox(m3 * (m3.template triangularView<Eigen::UpperTriangular>().solve(m2)), largerEps));
m3 = m1.template triangularView<Eigen::LowerTriangular>();
VERIFY(m2.isApprox(m3 * (m3.template triangularView<Eigen::LowerTriangular>().solve(m2)), largerEps));
VERIFY((m1.template part<Eigen::UpperTriangular>() * m2.template part<Eigen::UpperTriangular>()).isUpperTriangular());
// check solve with unit diagonal
m3 = m1.template triangularView<Eigen::UnitUpperTriangular>();
VERIFY(m2.isApprox(m3 * (m1.template triangularView<Eigen::UnitUpperTriangular>().solve(m2)), largerEps));
// VERIFY(( m1.template triangularView<Eigen::UpperTriangular>()
// * m2.template triangularView<Eigen::UpperTriangular>()).isUpperTriangular());
// test swap
m1.setOnes();
m2.setZero();
m2.template part<Eigen::UpperTriangular>().swap(m1);
m2.template triangularView<Eigen::UpperTriangular>().swap(m1);
m3.setZero();
m3.template part<Eigen::UpperTriangular>().setOnes();
m3.template triangularView<Eigen::UpperTriangular>().setOnes();
VERIFY_IS_APPROX(m2,m3);
}