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authorStanislaw Halik <sthalik@misaki.pl>2019-03-03 21:09:10 +0100
committerStanislaw Halik <sthalik@misaki.pl>2019-03-03 21:10:13 +0100
commitf0238cfb6997c4acfc2bd200de7295f3fa36968f (patch)
treeb215183760e4f615b9c1dabc1f116383b72a1b55 /eigen/test/triangular.cpp
parent543edd372a5193d04b3de9f23c176ab439e51b31 (diff)
don't index Eigen
Diffstat (limited to 'eigen/test/triangular.cpp')
-rw-r--r--eigen/test/triangular.cpp246
1 files changed, 0 insertions, 246 deletions
diff --git a/eigen/test/triangular.cpp b/eigen/test/triangular.cpp
deleted file mode 100644
index 328eef4..0000000
--- a/eigen/test/triangular.cpp
+++ /dev/null
@@ -1,246 +0,0 @@
-// This file is triangularView of Eigen, a lightweight C++ template library
-// for linear algebra.
-//
-// Copyright (C) 2008-2009 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 "main.h"
-
-
-
-template<typename MatrixType> void triangular_square(const MatrixType& m)
-{
- typedef typename MatrixType::Scalar Scalar;
- typedef typename NumTraits<Scalar>::Real RealScalar;
- typedef Matrix<Scalar, MatrixType::RowsAtCompileTime, 1> VectorType;
-
- RealScalar largerEps = 10*test_precision<RealScalar>();
-
- typename MatrixType::Index rows = m.rows();
- typename MatrixType::Index cols = m.cols();
-
- MatrixType m1 = MatrixType::Random(rows, cols),
- m2 = MatrixType::Random(rows, cols),
- m3(rows, cols),
- m4(rows, cols),
- r1(rows, cols),
- r2(rows, cols);
- VectorType v2 = VectorType::Random(rows);
-
- MatrixType m1up = m1.template triangularView<Upper>();
- MatrixType m2up = m2.template triangularView<Upper>();
-
- if (rows*cols>1)
- {
- VERIFY(m1up.isUpperTriangular());
- VERIFY(m2up.transpose().isLowerTriangular());
- VERIFY(!m2.isLowerTriangular());
- }
-
-// VERIFY_IS_APPROX(m1up.transpose() * m2, m1.upper().transpose().lower() * m2);
-
- // test overloaded operator+=
- r1.setZero();
- r2.setZero();
- r1.template triangularView<Upper>() += m1;
- r2 += m1up;
- VERIFY_IS_APPROX(r1,r2);
-
- // test overloaded operator=
- m1.setZero();
- m1.template triangularView<Upper>() = m2.transpose() + m2;
- m3 = m2.transpose() + m2;
- VERIFY_IS_APPROX(m3.template triangularView<Lower>().transpose().toDenseMatrix(), m1);
-
- // test overloaded operator=
- m1.setZero();
- m1.template triangularView<Lower>() = m2.transpose() + m2;
- VERIFY_IS_APPROX(m3.template triangularView<Lower>().toDenseMatrix(), m1);
-
- VERIFY_IS_APPROX(m3.template triangularView<Lower>().conjugate().toDenseMatrix(),
- m3.conjugate().template triangularView<Lower>().toDenseMatrix());
-
- m1 = MatrixType::Random(rows, cols);
- for (int i=0; i<rows; ++i)
- while (numext::abs2(m1(i,i))<RealScalar(1e-1)) m1(i,i) = internal::random<Scalar>();
-
- Transpose<MatrixType> trm4(m4);
- // test back and forward subsitution with a vector as the rhs
- m3 = m1.template triangularView<Upper>();
- VERIFY(v2.isApprox(m3.adjoint() * (m1.adjoint().template triangularView<Lower>().solve(v2)), largerEps));
- m3 = m1.template triangularView<Lower>();
- VERIFY(v2.isApprox(m3.transpose() * (m1.transpose().template triangularView<Upper>().solve(v2)), largerEps));
- m3 = m1.template triangularView<Upper>();
- VERIFY(v2.isApprox(m3 * (m1.template triangularView<Upper>().solve(v2)), largerEps));
- m3 = m1.template triangularView<Lower>();
- VERIFY(v2.isApprox(m3.conjugate() * (m1.conjugate().template triangularView<Lower>().solve(v2)), largerEps));
-
- // test back and forward substitution with a matrix as the rhs
- m3 = m1.template triangularView<Upper>();
- VERIFY(m2.isApprox(m3.adjoint() * (m1.adjoint().template triangularView<Lower>().solve(m2)), largerEps));
- m3 = m1.template triangularView<Lower>();
- VERIFY(m2.isApprox(m3.transpose() * (m1.transpose().template triangularView<Upper>().solve(m2)), largerEps));
- m3 = m1.template triangularView<Upper>();
- VERIFY(m2.isApprox(m3 * (m1.template triangularView<Upper>().solve(m2)), largerEps));
- m3 = m1.template triangularView<Lower>();
- VERIFY(m2.isApprox(m3.conjugate() * (m1.conjugate().template triangularView<Lower>().solve(m2)), largerEps));
-
- // check M * inv(L) using in place API
- m4 = m3;
- m1.transpose().template triangularView<Eigen::Upper>().solveInPlace(trm4);
- VERIFY_IS_APPROX(m4 * m1.template triangularView<Eigen::Lower>(), m3);
-
- // check M * inv(U) using in place API
- m3 = m1.template triangularView<Upper>();
- m4 = m3;
- m3.transpose().template triangularView<Eigen::Lower>().solveInPlace(trm4);
- VERIFY_IS_APPROX(m4 * m1.template triangularView<Eigen::Upper>(), m3);
-
- // check solve with unit diagonal
- m3 = m1.template triangularView<UnitUpper>();
- VERIFY(m2.isApprox(m3 * (m1.template triangularView<UnitUpper>().solve(m2)), largerEps));
-
-// VERIFY(( m1.template triangularView<Upper>()
-// * m2.template triangularView<Upper>()).isUpperTriangular());
-
- // test swap
- m1.setOnes();
- m2.setZero();
- m2.template triangularView<Upper>().swap(m1);
- m3.setZero();
- m3.template triangularView<Upper>().setOnes();
- VERIFY_IS_APPROX(m2,m3);
-
- m1.setRandom();
- m3 = m1.template triangularView<Upper>();
- Matrix<Scalar, MatrixType::ColsAtCompileTime, Dynamic> m5(cols, internal::random<int>(1,20)); m5.setRandom();
- Matrix<Scalar, Dynamic, MatrixType::RowsAtCompileTime> m6(internal::random<int>(1,20), rows); m6.setRandom();
- VERIFY_IS_APPROX(m1.template triangularView<Upper>() * m5, m3*m5);
- VERIFY_IS_APPROX(m6*m1.template triangularView<Upper>(), m6*m3);
-
- m1up = m1.template triangularView<Upper>();
- VERIFY_IS_APPROX(m1.template selfadjointView<Upper>().template triangularView<Upper>().toDenseMatrix(), m1up);
- VERIFY_IS_APPROX(m1up.template selfadjointView<Upper>().template triangularView<Upper>().toDenseMatrix(), m1up);
- VERIFY_IS_APPROX(m1.template selfadjointView<Upper>().template triangularView<Lower>().toDenseMatrix(), m1up.adjoint());
- VERIFY_IS_APPROX(m1up.template selfadjointView<Upper>().template triangularView<Lower>().toDenseMatrix(), m1up.adjoint());
-
- VERIFY_IS_APPROX(m1.template selfadjointView<Upper>().diagonal(), m1.diagonal());
-
-}
-
-
-template<typename MatrixType> void triangular_rect(const MatrixType& m)
-{
- typedef typename MatrixType::Scalar Scalar;
- typedef typename NumTraits<Scalar>::Real RealScalar;
- enum { Rows = MatrixType::RowsAtCompileTime, Cols = MatrixType::ColsAtCompileTime };
-
- Index rows = m.rows();
- Index cols = m.cols();
-
- MatrixType m1 = MatrixType::Random(rows, cols),
- m2 = MatrixType::Random(rows, cols),
- m3(rows, cols),
- m4(rows, cols),
- r1(rows, cols),
- r2(rows, cols);
-
- MatrixType m1up = m1.template triangularView<Upper>();
- MatrixType m2up = m2.template triangularView<Upper>();
-
- if (rows>1 && cols>1)
- {
- VERIFY(m1up.isUpperTriangular());
- VERIFY(m2up.transpose().isLowerTriangular());
- VERIFY(!m2.isLowerTriangular());
- }
-
- // test overloaded operator+=
- r1.setZero();
- r2.setZero();
- r1.template triangularView<Upper>() += m1;
- r2 += m1up;
- VERIFY_IS_APPROX(r1,r2);
-
- // test overloaded operator=
- m1.setZero();
- m1.template triangularView<Upper>() = 3 * m2;
- m3 = 3 * m2;
- VERIFY_IS_APPROX(m3.template triangularView<Upper>().toDenseMatrix(), m1);
-
-
- m1.setZero();
- m1.template triangularView<Lower>() = 3 * m2;
- VERIFY_IS_APPROX(m3.template triangularView<Lower>().toDenseMatrix(), m1);
-
- m1.setZero();
- m1.template triangularView<StrictlyUpper>() = 3 * m2;
- VERIFY_IS_APPROX(m3.template triangularView<StrictlyUpper>().toDenseMatrix(), m1);
-
-
- m1.setZero();
- m1.template triangularView<StrictlyLower>() = 3 * m2;
- VERIFY_IS_APPROX(m3.template triangularView<StrictlyLower>().toDenseMatrix(), m1);
- m1.setRandom();
- m2 = m1.template triangularView<Upper>();
- VERIFY(m2.isUpperTriangular());
- VERIFY(!m2.isLowerTriangular());
- m2 = m1.template triangularView<StrictlyUpper>();
- VERIFY(m2.isUpperTriangular());
- VERIFY(m2.diagonal().isMuchSmallerThan(RealScalar(1)));
- m2 = m1.template triangularView<UnitUpper>();
- VERIFY(m2.isUpperTriangular());
- m2.diagonal().array() -= Scalar(1);
- VERIFY(m2.diagonal().isMuchSmallerThan(RealScalar(1)));
- m2 = m1.template triangularView<Lower>();
- VERIFY(m2.isLowerTriangular());
- VERIFY(!m2.isUpperTriangular());
- m2 = m1.template triangularView<StrictlyLower>();
- VERIFY(m2.isLowerTriangular());
- VERIFY(m2.diagonal().isMuchSmallerThan(RealScalar(1)));
- m2 = m1.template triangularView<UnitLower>();
- VERIFY(m2.isLowerTriangular());
- m2.diagonal().array() -= Scalar(1);
- VERIFY(m2.diagonal().isMuchSmallerThan(RealScalar(1)));
- // test swap
- m1.setOnes();
- m2.setZero();
- m2.template triangularView<Upper>().swap(m1);
- m3.setZero();
- m3.template triangularView<Upper>().setOnes();
- VERIFY_IS_APPROX(m2,m3);
-}
-
-void bug_159()
-{
- Matrix3d m = Matrix3d::Random().triangularView<Lower>();
- EIGEN_UNUSED_VARIABLE(m)
-}
-
-void test_triangular()
-{
- int maxsize = (std::min)(EIGEN_TEST_MAX_SIZE,20);
- for(int i = 0; i < g_repeat ; i++)
- {
- int r = internal::random<int>(2,maxsize); TEST_SET_BUT_UNUSED_VARIABLE(r)
- int c = internal::random<int>(2,maxsize); TEST_SET_BUT_UNUSED_VARIABLE(c)
-
- CALL_SUBTEST_1( triangular_square(Matrix<float, 1, 1>()) );
- CALL_SUBTEST_2( triangular_square(Matrix<float, 2, 2>()) );
- CALL_SUBTEST_3( triangular_square(Matrix3d()) );
- CALL_SUBTEST_4( triangular_square(Matrix<std::complex<float>,8, 8>()) );
- CALL_SUBTEST_5( triangular_square(MatrixXcd(r,r)) );
- CALL_SUBTEST_6( triangular_square(Matrix<float,Dynamic,Dynamic,RowMajor>(r, r)) );
-
- CALL_SUBTEST_7( triangular_rect(Matrix<float, 4, 5>()) );
- CALL_SUBTEST_8( triangular_rect(Matrix<double, 6, 2>()) );
- CALL_SUBTEST_9( triangular_rect(MatrixXcf(r, c)) );
- CALL_SUBTEST_5( triangular_rect(MatrixXcd(r, c)) );
- CALL_SUBTEST_6( triangular_rect(Matrix<float,Dynamic,Dynamic,RowMajor>(r, c)) );
- }
-
- CALL_SUBTEST_1( bug_159() );
-}