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bug #1617: Fix SolveTriangular.solveInPlace crashing for empty matrix.
This made FullPivLU.kernel() crash when used on the zero matrix. Add unit test for FullPivLU.kernel() on the zero matrix.
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@ -169,6 +169,9 @@ EIGEN_DEVICE_FUNC void TriangularViewImpl<MatrixType,Mode,Dense>::solveInPlace(c
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OtherDerived& other = _other.const_cast_derived();
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eigen_assert( derived().cols() == derived().rows() && ((Side==OnTheLeft && derived().cols() == other.rows()) || (Side==OnTheRight && derived().cols() == other.cols())) );
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eigen_assert((!(Mode & ZeroDiag)) && bool(Mode & (Upper|Lower)));
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// If solving for a 0x0 matrix, nothing to do, simply return.
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if (derived().cols() == 0)
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return;
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enum { copy = (internal::traits<OtherDerived>::Flags & RowMajorBit) && OtherDerived::IsVectorAtCompileTime && OtherDerived::SizeAtCompileTime!=1};
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typedef typename internal::conditional<copy,
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@ -57,6 +57,10 @@ template<typename MatrixType> void lu_non_invertible()
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// The image of the zero matrix should consist of a single (zero) column vector
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VERIFY((MatrixType::Zero(rows,cols).fullPivLu().image(MatrixType::Zero(rows,cols)).cols() == 1));
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// The kernel of the zero matrix is the entire space, and thus is an invertible matrix of dimensions cols.
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KernelMatrixType kernel = MatrixType::Zero(rows,cols).fullPivLu().kernel();
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VERIFY((kernel.fullPivLu().isInvertible()));
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MatrixType m1(rows, cols), m3(rows, cols2);
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CMatrixType m2(cols, cols2);
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createRandomPIMatrixOfRank(rank, rows, cols, m1);
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