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Further LU test improvements. I'm not aware of any test failures anymore, not even with huge numbers of repetitions.
Finally the createRandomMatrixOfRank() function is renamed to createRandomPIMatrixOfRank, where PI stands for 'partial isometry', that is, a matrix whose singular values are 0 or 1.
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@@ -36,7 +36,7 @@ template<typename MatrixType> void qr()
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typedef Matrix<Scalar, MatrixType::RowsAtCompileTime, MatrixType::RowsAtCompileTime> MatrixQType;
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typedef Matrix<Scalar, MatrixType::ColsAtCompileTime, 1> VectorType;
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MatrixType m1;
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createRandomProjectionOfRank(rank,rows,cols,m1);
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createRandomPIMatrixOfRank(rank,rows,cols,m1);
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ColPivHouseholderQR<MatrixType> qr(m1);
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VERIFY_IS_APPROX(rank, qr.rank());
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VERIFY(cols - qr.rank() == qr.dimensionOfKernel());
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@@ -64,7 +64,7 @@ template<typename MatrixType, int Cols2> void qr_fixedsize()
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typedef typename MatrixType::Scalar Scalar;
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int rank = ei_random<int>(1, std::min(int(Rows), int(Cols))-1);
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Matrix<Scalar,Rows,Cols> m1;
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createRandomProjectionOfRank(rank,Rows,Cols,m1);
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createRandomPIMatrixOfRank(rank,Rows,Cols,m1);
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ColPivHouseholderQR<Matrix<Scalar,Rows,Cols> > qr(m1);
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VERIFY_IS_APPROX(rank, qr.rank());
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VERIFY(Cols - qr.rank() == qr.dimensionOfKernel());
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