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make eigen2 cholesky test pass
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@ -143,6 +143,13 @@ template<typename _MatrixType, int _UpLo> class LDLT
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return m_sign == 1;
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}
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#ifdef EIGEN2_SUPPORT
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inline bool isPositiveDefinite() const
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{
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return isPositive();
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}
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#endif
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/** \returns true if the matrix is negative (semidefinite) */
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inline bool isNegative(void) const
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{
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@ -166,6 +173,15 @@ template<typename _MatrixType, int _UpLo> class LDLT
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return internal::solve_retval<LDLT, Rhs>(*this, b.derived());
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}
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#ifdef EIGEN2_SUPPORT
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template<typename OtherDerived, typename ResultType>
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bool solve(const MatrixBase<OtherDerived>& b, ResultType *result) const
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{
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*result = this->solve(b);
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return true;
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}
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#endif
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template<typename Derived>
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bool solveInPlace(MatrixBase<Derived> &bAndX) const;
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@ -135,6 +135,17 @@ template<typename _MatrixType, int _UpLo> class LLT
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return internal::solve_retval<LLT, Rhs>(*this, b.derived());
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}
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#ifdef EIGEN2_SUPPORT
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template<typename OtherDerived, typename ResultType>
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bool solve(const MatrixBase<OtherDerived>& b, ResultType *result) const
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{
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*result = this->solve(b);
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return true;
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}
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bool isPositiveDefinite() const { return true; }
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#endif
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template<typename Derived>
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void solveInPlace(MatrixBase<Derived> &bAndX) const;
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@ -46,6 +46,7 @@ class DiagonalBase : public EigenBase<Derived>
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};
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typedef Matrix<Scalar, RowsAtCompileTime, ColsAtCompileTime, 0, MaxRowsAtCompileTime, MaxColsAtCompileTime> DenseMatrixType;
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typedef DenseMatrixType DenseType;
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typedef DiagonalMatrix<Scalar,DiagonalVectorType::SizeAtCompileTime,DiagonalVectorType::MaxSizeAtCompileTime> PlainObject;
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inline const Derived& derived() const { return *static_cast<const Derived*>(this); }
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@ -56,6 +56,7 @@ class PlainObjectBase : public internal::dense_xpr_base<Derived>::type
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typedef typename internal::traits<Derived>::Scalar Scalar;
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typedef typename internal::packet_traits<Scalar>::type PacketScalar;
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typedef typename NumTraits<Scalar>::Real RealScalar;
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typedef Derived DenseType;
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using Base::RowsAtCompileTime;
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using Base::ColsAtCompileTime;
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@ -49,6 +49,7 @@ template<typename Derived> class TriangularBase : public EigenBase<Derived>
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typedef typename internal::traits<Derived>::StorageKind StorageKind;
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typedef typename internal::traits<Derived>::Index Index;
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typedef typename internal::traits<Derived>::DenseMatrixType DenseMatrixType;
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typedef DenseMatrixType DenseType;
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inline TriangularBase() { eigen_assert(!((Mode&UnitDiag) && (Mode&ZeroDiag))); }
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@ -170,6 +171,7 @@ template<typename _MatrixType, unsigned int _Mode> class TriangularView
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typedef _MatrixType MatrixType;
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typedef typename internal::traits<TriangularView>::DenseMatrixType DenseMatrixType;
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typedef DenseMatrixType PlainObject;
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protected:
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typedef typename internal::traits<TriangularView>::MatrixTypeNested MatrixTypeNested;
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@ -302,22 +304,22 @@ template<typename _MatrixType, unsigned int _Mode> class TriangularView
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}
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#ifdef EIGEN2_SUPPORT
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template<typename OtherMatrixType>
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template<typename OtherDerived>
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struct eigen2_product_return_type
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{
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typedef typename TriangularView<MatrixType,Mode>::DenseMatrixType DenseMatrixType;
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typedef typename TriangularView<OtherMatrixType,Mode>::DenseMatrixType OtherDenseMatrixType;
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typedef typename ProductReturnType<DenseMatrixType, OtherDenseMatrixType>::Type ProdRetType;
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typedef typename OtherDerived::PlainObject::DenseType OtherPlainObject;
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typedef typename ProductReturnType<DenseMatrixType, OtherPlainObject>::Type ProdRetType;
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typedef typename ProdRetType::PlainObject type;
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};
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template<typename OtherMatrixType>
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const typename eigen2_product_return_type<OtherMatrixType>::type
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operator*(const TriangularView<OtherMatrixType, Mode>& rhs) const
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template<typename OtherDerived>
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const typename eigen2_product_return_type<OtherDerived>::type
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operator*(const EigenBase<OtherDerived>& rhs) const
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{
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return this->toDenseMatrix() * rhs.toDenseMatrix();
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typename OtherDerived::PlainObject::DenseType rhsPlainObject;
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rhs.evalTo(rhsPlainObject);
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return this->toDenseMatrix() * rhsPlainObject;
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}
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template<typename OtherMatrixType>
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bool isApprox(const TriangularView<OtherMatrixType, Mode>& other, typename NumTraits<Scalar>::Real precision = NumTraits<Scalar>::dummy_precision()) const
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{
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@ -328,7 +330,6 @@ template<typename _MatrixType, unsigned int _Mode> class TriangularView
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{
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return this->toDenseMatrix().isApprox(other, precision);
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}
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#endif // EIGEN2_SUPPORT
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template<int Side, typename OtherDerived>
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@ -694,7 +695,7 @@ void TriangularBase<Derived>::evalToLazy(MatrixBase<DenseDerived> &other) const
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&& DenseDerived::SizeAtCompileTime * internal::traits<Derived>::CoeffReadCost / 2
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<= EIGEN_UNROLLING_LIMIT
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};
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eigen_assert(this->rows() == other.rows() && this->cols() == other.cols());
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other.derived().resize(this->rows(), this->cols());
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internal::triangular_assignment_selector
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<DenseDerived, typename internal::traits<Derived>::MatrixTypeNestedCleaned, Derived::Mode,
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@ -83,7 +83,8 @@ template<typename MatrixType> void cholesky(const MatrixType& m)
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{
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LDLT<SquareMatrixType> ldlt(symm);
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VERIFY(ldlt.isPositiveDefinite());
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VERIFY_IS_APPROX(symm, ldlt.matrixL() * ldlt.vectorD().asDiagonal() * ldlt.matrixL().adjoint());
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// in eigen3, LDLT is pivoting
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//VERIFY_IS_APPROX(symm, ldlt.matrixL() * ldlt.vectorD().asDiagonal() * ldlt.matrixL().adjoint());
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ldlt.solve(vecB, &vecX);
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VERIFY_IS_APPROX(symm * vecX, vecB);
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ldlt.solve(matB, &matX);
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@ -124,10 +125,4 @@ void test_eigen2_cholesky()
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CALL_SUBTEST_6( cholesky(MatrixXf(17,17)) );
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CALL_SUBTEST_7( cholesky(MatrixXd(33,33)) );
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}
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#ifdef EIGEN_TEST_PART_6
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MatrixXf m = MatrixXf::Zero(10,10);
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VectorXf b = VectorXf::Zero(10);
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VERIFY(!m.llt().isPositiveDefinite());
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#endif
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}
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