1 | #include "main.h"
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2 | #include <Eigen/MPRealSupport>
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3 | #include <Eigen/LU>
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4 | #include <Eigen/Eigenvalues>
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5 | #include <sstream>
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6 |
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7 | using namespace mpfr;
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8 | using namespace Eigen;
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9 |
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10 | void test_mpreal_support()
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11 | {
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12 | // set precision to 256 bits (double has only 53 bits)
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13 | mpreal::set_default_prec(256);
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14 | typedef Matrix<mpreal,Eigen::Dynamic,Eigen::Dynamic> MatrixXmp;
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15 |
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16 | std::cerr << "epsilon = " << NumTraits<mpreal>::epsilon() << "\n";
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17 | std::cerr << "dummy_precision = " << NumTraits<mpreal>::dummy_precision() << "\n";
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18 | std::cerr << "highest = " << NumTraits<mpreal>::highest() << "\n";
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19 | std::cerr << "lowest = " << NumTraits<mpreal>::lowest() << "\n";
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20 |
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21 | for(int i = 0; i < g_repeat; i++) {
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22 | int s = Eigen::internal::random<int>(1,100);
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23 | MatrixXmp A = MatrixXmp::Random(s,s);
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24 | MatrixXmp B = MatrixXmp::Random(s,s);
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25 | MatrixXmp S = A.adjoint() * A;
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26 | MatrixXmp X;
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27 |
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28 | // Basic stuffs
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29 | VERIFY_IS_APPROX(A.real(), A);
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30 | VERIFY(Eigen::internal::isApprox(A.array().abs2().sum(), A.squaredNorm()));
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31 | VERIFY_IS_APPROX(A.array().exp(), exp(A.array()));
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32 | VERIFY_IS_APPROX(A.array().abs2().sqrt(), A.array().abs());
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33 | VERIFY_IS_APPROX(A.array().sin(), sin(A.array()));
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34 | VERIFY_IS_APPROX(A.array().cos(), cos(A.array()));
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35 |
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36 |
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37 | // Cholesky
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38 | X = S.selfadjointView<Lower>().llt().solve(B);
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39 | VERIFY_IS_APPROX((S.selfadjointView<Lower>()*X).eval(),B);
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40 |
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41 | // partial LU
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42 | X = A.lu().solve(B);
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43 | VERIFY_IS_APPROX((A*X).eval(),B);
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44 |
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45 | // symmetric eigenvalues
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46 | SelfAdjointEigenSolver<MatrixXmp> eig(S);
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47 | VERIFY_IS_EQUAL(eig.info(), Success);
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48 | VERIFY( (S.selfadjointView<Lower>() * eig.eigenvectors()).isApprox(eig.eigenvectors() * eig.eigenvalues().asDiagonal(), NumTraits<mpreal>::dummy_precision()*1e3) );
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49 | }
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50 |
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51 | {
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52 | MatrixXmp A(8,3); A.setRandom();
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53 | // test output (interesting things happen in this code)
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54 | std::stringstream stream;
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55 | stream << A;
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56 | }
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57 | }
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