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synced 2026-04-10 11:34:33 +08:00
Fixed a couple of issues introduced in previous commits.
Added a test for Triangular.
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@@ -40,21 +40,32 @@ template<typename MatrixType> void nullDeterminant(const MatrixType& m)
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typedef Matrix<Scalar, MatrixType::ColsAtCompileTime, MatrixType::ColsAtCompileTime> SquareMatrixType;
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typedef Matrix<Scalar, MatrixType::ColsAtCompileTime, 1> VectorType;
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MatrixType d(rows, cols);
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MatrixType dinv(rows, cols), dnotinv(rows, cols);
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// build a ill-conditionned matrix with a nul determinant
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d.col(0).setOnes();
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d.block(0,1, rows, cols-2).setRandom();
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d.col(cols-1).setOnes();
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dinv.col(0).setOnes();
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dinv.block(0,1, rows, cols-2).setRandom();
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dnotinv.col(0).setOnes();
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dnotinv.block(0,1, rows, cols-2).setRandom();
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dnotinv.col(cols-1).setOnes();
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for (int i=0 ; i<rows ; ++i)
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d.row(i).block(0,1,1,cols-2) = d.row(i).block(0,1,1,cols-2).normalized();
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{
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dnotinv.row(i).block(0,1,1,cols-2) = ei_random<Scalar>(99.999999,100.00000001)*dnotinv.row(i).block(0,1,1,cols-2).normalized();
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dnotinv(i,cols-1) = dnotinv.row(i).block(0,1,1,cols-2).norm2();
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dinv(i,cols-1) = dinv.row(i).block(0,1,1,cols-2).norm2();
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}
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SquareMatrixType covarianceMatrix = d.transpose() * d;
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SquareMatrixType invertibleCovarianceMatrix = dinv.transpose() * dinv;
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SquareMatrixType notInvertibleCovarianceMatrix = dnotinv.transpose() * dnotinv;
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// std::cout << covarianceMatrix << "\n" << covarianceMatrix.determinant() << "\n";
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std::cout << notInvertibleCovarianceMatrix << "\n" << notInvertibleCovarianceMatrix.determinant() << "\n";
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VERIFY_IS_APPROX(covarianceMatrix.determinant(), Scalar(0));
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VERIFY_IS_APPROX(notInvertibleCovarianceMatrix.determinant(), Scalar(0));
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VERIFY(invertibleCovarianceMatrix.inverse().exists());
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VERIFY(!notInvertibleCovarianceMatrix.inverse().exists());
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}
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void EigenTest::testDeterminant()
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