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SyTen
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SyTen
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Convenience functions for dense tensors, to be included by dense.h. More...
Include dependency graph for dense_convenience.h: This graph shows which files directly or indirectly include this file:Namespaces | |
| namespace | syten |
| Syten namespace. | |
Functions | |
| template<Rank rank, typename Scalar > | |
| ScalarBase< Scalar >::type | syten::abs (DenseTensor< rank, Scalar > const &a) |
| \( \sqrt{\sum_k A_k * \textrm{conj}(A_k)} = \sqrt{\textrm{absSqd(A)}} \), see absSqd() More... | |
| template<Rank rank, typename Scalar > | |
| ScalarBase< Scalar >::type | syten::absSqd (DenseTensor< rank, Scalar > const &a) |
| \( \sum_k A_k * \textrm{conj}(A_k) \) More... | |
| template<Rank rank, typename Scalar > | |
| void | syten::addScaled (DenseTensor< rank, Scalar > &a, DenseTensor< rank, Scalar > const &b, typename IdentityType< Scalar >::type const factor, EliminateZeros const ezeros) |
\( A_i \leftarrow A_i + f B_i \), adds b scaled by factor to a, if ezeros = EliminateZeros::Yes, eliminates resulting near-zeros. More... | |
| template<Rank rank, typename Scalar > | |
| std::pair< std::size_t, typename ScalarBase< Scalar >::type > | syten::avgAbs (DenseTensor< rank, Scalar > const &a) |
| Returns the sum of the absolute values and the number of non-zero entries in the tensor. More... | |
| template<typename NewScalar , Rank rank, typename OldScalar > | |
| DenseTensor< rank, NewScalar > | syten::change_type (DenseTensor< rank, OldScalar > const &in) |
| Change scalar type of tensor. More... | |
| template<Rank rank, typename Scalar > | |
| DenseTensor< rank, Scalar > | syten::clip (DenseTensor< rank, Scalar > in, typename ScalarBase< Scalar >::type t) |
| Clips all elements of the dense tensor below the given threshold to zero. More... | |
| template<typename Scalar > | |
| Scalar | syten::getEigenvalue (DenseTensor< 2, Scalar > const &o, DenseTensor< 1, Scalar > const &v) |
| Returns the eigenvalue of the specified eigenvector relative to the specified matrix. More... | |
| template<typename Scalar > | |
| std::vector< DenseTensor< 1, Scalar > > | syten::hsplit (DenseTensor< 2, Scalar > const &matrix) |
| \( R[j]_i = in_{ij} \), horizontally splits a matrix into column vectors More... | |
| template<typename Scalar > | |
| DenseTensor< 2, Scalar > | syten::hstack (std::vector< DenseTensor< 1, Scalar > > const &list) |
| \( R_{ij} = v[j]_i \), horizontally stacks vectors into a matrix More... | |
| template<Rank rank, typename Scalar > | |
| DenseTensor< rank+1, Scalar > | syten::insertDummy (DenseTensor< rank, Scalar > const &in, Index which) |
Inserts an additional dummy leg as the one-indexed which dense tensor leg. More... | |
| template<Rank rank, typename Scalar > | |
| std::tuple< ParallelKind, typename ScalarBase< Scalar >::type, typename ScalarBase< Scalar >::type > | syten::isParallel (DenseTensor< rank, Scalar > const &a, DenseTensor< rank, Scalar > const &b) |
| Checks if two tensors are parallel, i.e. \( a_i = c \; b_i \quad \forall i \). More... | |
| template<typename Scalar > | |
| std::pair< ParallelKind, Scalar > | syten::isParallel_highPrec (DenseTensor< 1, Scalar > const &a, DenseTensor< 1, Scalar > const &b) |
| Checks if two vectors are parallel with very high sensitivity and requiring the factor to be of magnitude between 1e-3 and 1e3. More... | |
| template<Rank rank, typename Scalar > | |
| bool | syten::isZero (DenseTensor< rank, Scalar > const &a) |
Returns true iff all elements of a are identically zero. More... | |
| template<Rank rank, typename Scalar > | |
| DenseTensor< rank, std::complex< typename ScalarBase< Scalar >::type > > | syten::make_complex (DenseTensor< rank, Scalar > const &in) |
Returns a tensor of the complexified real base type of in. More... | |
| template<Rank rank, typename Scalar > | |
| ScalarBase< Scalar >::type | syten::max (DenseTensor< rank, Scalar > const &a) |
| Returns the element with the greatest magnitude in the dense tensor. More... | |
| template<Rank rank, typename Scalar > | |
| ScalarBase< Scalar >::type | syten::norm (DenseTensor< rank, Scalar > const &a) |
| \( |a| = \textrm{abs}(a) \), see abs() More... | |
| template<Rank rank, typename Scalar > | |
| ScalarBase< Scalar >::type | syten::normSqd (DenseTensor< rank, Scalar > const &a) |
| \( |a|^2 = \textrm{absSqd}(a) \), see absSqd() More... | |
| template<Rank rank, typename Scalar > | |
| ScalarBase< Scalar >::type | syten::nz_abs (DenseTensor< rank, Scalar > const &a) |
| Returns the sum of the absolutes of the non-zero elements. More... | |
| template<typename Scalar > | |
| DenseTensor< 1, Scalar > | syten::orthogonalise (DenseTensor< 1, Scalar > const &a, DenseTensor< 1, Scalar > const &b) |
| \( R_i = A_i - \langle A|B \rangle/\langle B|B\rangle \cdot B_i \) More... | |
| template<typename Scalar > | |
| void | syten::orthogonalise_inplace (DenseTensor< 1, Scalar > &a, DenseTensor< 1, Scalar > const &b) |
| \( A_i \gets A_i - \langle A|B \rangle/\langle B|B\rangle \cdot B_i \) (in-place) More... | |
| template<typename Scalar > | |
| DenseTensor< 1, Scalar > | syten::orthonormalise (DenseTensor< 1, Scalar > const &a, DenseTensor< 1, Scalar > const &b) |
| \( R_i = A_i - \langle A|B \rangle/\langle B|B\rangle \cdot B_i ; \quad R_i = R_i / |R| \) More... | |
| template<Rank rank, typename Scalar > | |
| std::pair< Index, typename ScalarBase< Scalar >::type > | syten::partial_abs (DenseTensor< rank, Scalar > const &a, std::array< Index, rank > const &allowed_entries) |
| Calculates the partial sum of absolute values of entries. More... | |
| template<Rank rank, typename Scalar > | |
| DenseTensor< rank, Scalar > | syten::real (DenseTensor< rank, Scalar > const &in) |
Returns the real part of the real DynArray in More... | |
| template<Rank rank, typename Scalar > | |
| DenseTensor< rank, typename ScalarBase< Scalar >::type > | syten::real (DenseTensor< rank, std::complex< Scalar > > const &in) |
Returns the real part of the complex dense tensor in More... | |
| template<typename Scalar > | |
| Scalar | syten::trace (DenseTensor< 2, Scalar > const &a) |
| \( \sum_k A_{kk} \) More... | |
| template<typename Scalar > | |
| std::vector< DenseTensor< 1, Scalar > > | syten::vsplit (DenseTensor< 2, Scalar > const &matrix) |
| \( R[i]_j = in_{ij} \), vertically splits a matrix into row vectors More... | |
| template<typename Scalar > | |
| DenseTensor< 2, Scalar > | syten::vstack (std::vector< DenseTensor< 1, Scalar > > const &list) |
| \( R_{ij} = v[i]_j \), vertically stacks vectors into a matrix More... | |
Convenience functions for dense tensors, to be included by dense.h.
1.9.4