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* the Upper->UpperTriangular change
* finally get ei_add_test right
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@@ -243,7 +243,7 @@ HessenbergDecomposition<MatrixType>::matrixH(void) const
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int n = m_matrix.rows();
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MatrixType matH = m_matrix;
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if (n>2)
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matH.corner(BottomLeft,n-2, n-2).template part<Lower>().setZero();
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matH.corner(BottomLeft,n-2, n-2).template part<LowerTriangular>().setZero();
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return matH;
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}
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@@ -60,11 +60,11 @@ template<typename MatrixType> class QR
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bool isFullRank() const { return ei_isMuchSmallerThan(m_hCoeffs.cwise().abs().minCoeff(), Scalar(1)); }
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/** \returns a read-only expression of the matrix R of the actual the QR decomposition */
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const Part<NestByValue<MatrixRBlockType>, Upper>
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const Part<NestByValue<MatrixRBlockType>, UpperTriangular>
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matrixR(void) const
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{
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int cols = m_qr.cols();
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return MatrixRBlockType(m_qr, 0, 0, cols, cols).nestByValue().template part<Upper>();
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return MatrixRBlockType(m_qr, 0, 0, cols, cols).nestByValue().template part<UpperTriangular>();
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}
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MatrixType matrixQ(void) const;
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@@ -254,22 +254,22 @@ compute(const MatrixType& matA, const MatrixType& matB, bool computeEigenvectors
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cholB.matrixL().solveTriangularInPlace(matC);
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// FIXME since we currently do not support A * inv(L'), let's do (inv(L) A')' :
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matC = matC.adjoint().eval();
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cholB.matrixL().template marked<Lower>().solveTriangularInPlace(matC);
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cholB.matrixL().template marked<LowerTriangular>().solveTriangularInPlace(matC);
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matC = matC.adjoint().eval();
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// this version works too:
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// matC = matC.transpose();
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// cholB.matrixL().conjugate().template marked<Lower>().solveTriangularInPlace(matC);
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// cholB.matrixL().conjugate().template marked<LowerTriangular>().solveTriangularInPlace(matC);
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// matC = matC.transpose();
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// FIXME: this should work: (currently it only does for small matrices)
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// Transpose<MatrixType> trMatC(matC);
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// cholB.matrixL().conjugate().eval().template marked<Lower>().solveTriangularInPlace(trMatC);
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// cholB.matrixL().conjugate().eval().template marked<LowerTriangular>().solveTriangularInPlace(trMatC);
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compute(matC, computeEigenvectors);
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if (computeEigenvectors)
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{
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// transform back the eigen vectors: evecs = inv(U) * evecs
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cholB.matrixL().adjoint().template marked<Upper>().solveTriangularInPlace(m_eivec);
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cholB.matrixL().adjoint().template marked<UpperTriangular>().solveTriangularInPlace(m_eivec);
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for (int i=0; i<m_eivec.cols(); ++i)
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m_eivec.col(i) = m_eivec.col(i).normalized();
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}
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@@ -167,8 +167,8 @@ Tridiagonalization<MatrixType>::matrixT(void) const
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matT.corner(TopRight,n-1, n-1).diagonal() = subDiagonal().conjugate();
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if (n>2)
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{
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matT.corner(TopRight,n-2, n-2).template part<Upper>().setZero();
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matT.corner(BottomLeft,n-2, n-2).template part<Lower>().setZero();
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matT.corner(TopRight,n-2, n-2).template part<UpperTriangular>().setZero();
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matT.corner(BottomLeft,n-2, n-2).template part<LowerTriangular>().setZero();
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}
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return matT;
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}
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@@ -223,17 +223,17 @@ void Tridiagonalization<MatrixType>::_compute(MatrixType& matA, CoeffVectorType&
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/* This is the initial algorithm which minimize operation counts and maximize
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* the use of Eigen's expression. Unfortunately, the first matrix-vector product
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* using Part<Lower|Selfadjoint> is very very slow */
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* using Part<LowerTriangular|Selfadjoint> is very very slow */
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#ifdef EIGEN_NEVER_DEFINED
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// matrix - vector product
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hCoeffs.end(n-i-1) = (matA.corner(BottomRight,n-i-1,n-i-1).template part<Lower|SelfAdjoint>()
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hCoeffs.end(n-i-1) = (matA.corner(BottomRight,n-i-1,n-i-1).template part<LowerTriangular|SelfAdjoint>()
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* (h * matA.col(i).end(n-i-1))).lazy();
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// simple axpy
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hCoeffs.end(n-i-1) += (h * Scalar(-0.5) * matA.col(i).end(n-i-1).dot(hCoeffs.end(n-i-1)))
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* matA.col(i).end(n-i-1);
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// rank-2 update
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//Block<MatrixType,Dynamic,1> B(matA,i+1,i,n-i-1,1);
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matA.corner(BottomRight,n-i-1,n-i-1).template part<Lower>() -=
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matA.corner(BottomRight,n-i-1,n-i-1).template part<LowerTriangular>() -=
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(matA.col(i).end(n-i-1) * hCoeffs.end(n-i-1).adjoint()).lazy()
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+ (hCoeffs.end(n-i-1) * matA.col(i).end(n-i-1).adjoint()).lazy();
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#endif
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@@ -256,7 +256,7 @@ void Tridiagonalization<MatrixType>::_compute(MatrixType& matA, CoeffVectorType&
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Block<MatrixType,Dynamic,4>(matA,b+4,b,n-b-4,4).adjoint() * Block<MatrixType,Dynamic,1>(matA,b+4,i,n-b-4,1);
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// the 4x4 block diagonal:
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Block<CoeffVectorType,4,1>(hCoeffs, b, 0, 4,1) +=
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(Block<MatrixType,4,4>(matA,b,b,4,4).template part<Lower|SelfAdjoint>()
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(Block<MatrixType,4,4>(matA,b,b,4,4).template part<LowerTriangular|SelfAdjoint>()
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* (h * Block<MatrixType,4,1>(matA,b,i,4,1))).lazy();
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}
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#endif
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