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142 lines
5.3 KiB
142 lines
5.3 KiB
// This file is part of Eigen, a lightweight C++ template library
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// for linear algebra. Eigen itself is part of the KDE project.
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//
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// Copyright (C) 2008 Gael Guennebaud <g.gael@free.fr>
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//
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// This Source Code Form is subject to the terms of the Mozilla
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// Public License v. 2.0. If a copy of the MPL was not distributed
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// with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
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#include "main.h"
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#include <Eigen/Array>
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template<typename MatrixType> void array(const MatrixType& m)
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{
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/* this test covers the following files:
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Array.cpp
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*/
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typedef typename MatrixType::Scalar Scalar;
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typedef typename NumTraits<Scalar>::Real RealScalar;
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typedef Matrix<Scalar, MatrixType::RowsAtCompileTime, 1> VectorType;
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int rows = m.rows();
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int cols = m.cols();
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MatrixType m1 = MatrixType::Random(rows, cols),
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m2 = MatrixType::Random(rows, cols),
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m3(rows, cols);
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Scalar s1 = ei_random<Scalar>(),
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s2 = ei_random<Scalar>();
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// scalar addition
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VERIFY_IS_APPROX(m1.cwise() + s1, s1 + m1.cwise());
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VERIFY_IS_APPROX(m1.cwise() + s1, MatrixType::Constant(rows,cols,s1) + m1);
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VERIFY_IS_APPROX((m1*Scalar(2)).cwise() - s2, (m1+m1) - MatrixType::Constant(rows,cols,s2) );
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m3 = m1;
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m3.cwise() += s2;
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VERIFY_IS_APPROX(m3, m1.cwise() + s2);
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m3 = m1;
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m3.cwise() -= s1;
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VERIFY_IS_APPROX(m3, m1.cwise() - s1);
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// reductions
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VERIFY_IS_APPROX(m1.colwise().sum().sum(), m1.sum());
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VERIFY_IS_APPROX(m1.rowwise().sum().sum(), m1.sum());
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if (!ei_isApprox(m1.sum(), (m1+m2).sum()))
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VERIFY_IS_NOT_APPROX(((m1+m2).rowwise().sum()).sum(), m1.sum());
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VERIFY_IS_APPROX(m1.colwise().sum(), m1.colwise().redux(internal::scalar_sum_op<Scalar>()));
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}
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template<typename MatrixType> void comparisons(const MatrixType& m)
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{
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typedef typename MatrixType::Scalar Scalar;
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typedef typename NumTraits<Scalar>::Real RealScalar;
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typedef Matrix<Scalar, MatrixType::RowsAtCompileTime, 1> VectorType;
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int rows = m.rows();
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int cols = m.cols();
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int r = ei_random<int>(0, rows-1),
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c = ei_random<int>(0, cols-1);
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MatrixType m1 = MatrixType::Random(rows, cols),
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m2 = MatrixType::Random(rows, cols),
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m3(rows, cols);
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VERIFY(((m1.cwise() + Scalar(1)).cwise() > m1).all());
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VERIFY(((m1.cwise() - Scalar(1)).cwise() < m1).all());
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if (rows*cols>1)
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{
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m3 = m1;
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m3(r,c) += 1;
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VERIFY(! (m1.cwise() < m3).all() );
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VERIFY(! (m1.cwise() > m3).all() );
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}
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// comparisons to scalar
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VERIFY( (m1.cwise() != (m1(r,c)+1) ).any() );
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VERIFY( (m1.cwise() > (m1(r,c)-1) ).any() );
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VERIFY( (m1.cwise() < (m1(r,c)+1) ).any() );
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VERIFY( (m1.cwise() == m1(r,c) ).any() );
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// test Select
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VERIFY_IS_APPROX( (m1.cwise()<m2).select(m1,m2), m1.cwise().min(m2) );
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VERIFY_IS_APPROX( (m1.cwise()>m2).select(m1,m2), m1.cwise().max(m2) );
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Scalar mid = (m1.cwise().abs().minCoeff() + m1.cwise().abs().maxCoeff())/Scalar(2);
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for (int j=0; j<cols; ++j)
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for (int i=0; i<rows; ++i)
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m3(i,j) = ei_abs(m1(i,j))<mid ? 0 : m1(i,j);
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VERIFY_IS_APPROX( (m1.cwise().abs().cwise()<MatrixType::Constant(rows,cols,mid))
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.select(MatrixType::Zero(rows,cols),m1), m3);
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// shorter versions:
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VERIFY_IS_APPROX( (m1.cwise().abs().cwise()<MatrixType::Constant(rows,cols,mid))
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.select(0,m1), m3);
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VERIFY_IS_APPROX( (m1.cwise().abs().cwise()>=MatrixType::Constant(rows,cols,mid))
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.select(m1,0), m3);
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// even shorter version:
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VERIFY_IS_APPROX( (m1.cwise().abs().cwise()<mid).select(0,m1), m3);
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// count
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VERIFY(((m1.cwise().abs().cwise()+1).cwise()>RealScalar(0.1)).count() == rows*cols);
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VERIFY_IS_APPROX(((m1.cwise().abs().cwise()+1).cwise()>RealScalar(0.1)).colwise().count().template cast<int>(), RowVectorXi::Constant(cols,rows));
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VERIFY_IS_APPROX(((m1.cwise().abs().cwise()+1).cwise()>RealScalar(0.1)).rowwise().count().template cast<int>(), VectorXi::Constant(rows, cols));
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}
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template<typename VectorType> void lpNorm(const VectorType& v)
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{
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VectorType u = VectorType::Random(v.size());
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VERIFY_IS_APPROX(u.template lpNorm<Infinity>(), u.cwise().abs().maxCoeff());
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VERIFY_IS_APPROX(u.template lpNorm<1>(), u.cwise().abs().sum());
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VERIFY_IS_APPROX(u.template lpNorm<2>(), ei_sqrt(u.cwise().abs().cwise().square().sum()));
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VERIFY_IS_APPROX(ei_pow(u.template lpNorm<5>(), typename VectorType::RealScalar(5)), u.cwise().abs().cwise().pow(5).sum());
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}
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void test_eigen2_array()
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{
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for(int i = 0; i < g_repeat; i++) {
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CALL_SUBTEST_1( array(Matrix<float, 1, 1>()) );
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CALL_SUBTEST_2( array(Matrix2f()) );
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CALL_SUBTEST_3( array(Matrix4d()) );
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CALL_SUBTEST_4( array(MatrixXcf(3, 3)) );
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CALL_SUBTEST_5( array(MatrixXf(8, 12)) );
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CALL_SUBTEST_6( array(MatrixXi(8, 12)) );
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}
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for(int i = 0; i < g_repeat; i++) {
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CALL_SUBTEST_1( comparisons(Matrix<float, 1, 1>()) );
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CALL_SUBTEST_2( comparisons(Matrix2f()) );
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CALL_SUBTEST_3( comparisons(Matrix4d()) );
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CALL_SUBTEST_5( comparisons(MatrixXf(8, 12)) );
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CALL_SUBTEST_6( comparisons(MatrixXi(8, 12)) );
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}
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for(int i = 0; i < g_repeat; i++) {
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CALL_SUBTEST_1( lpNorm(Matrix<float, 1, 1>()) );
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CALL_SUBTEST_2( lpNorm(Vector2f()) );
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CALL_SUBTEST_3( lpNorm(Vector3d()) );
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CALL_SUBTEST_4( lpNorm(Vector4f()) );
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CALL_SUBTEST_5( lpNorm(VectorXf(16)) );
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CALL_SUBTEST_7( lpNorm(VectorXcd(10)) );
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}
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}
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