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version 0.4.1
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version 0.4.1
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Helper for the autodiff library. More...
#include "concepts.hh"#include "traits.hh"#include <iosfwd>#include <random>#include <ranges>#include <dune/common/tuplevector.hh>#include <dune/functions/functionspacebases/lagrangebasis.hh>#include <dune/istl/bvector.hh>#include <Eigen/Core>#include <autodiff/forward/dual/dual.hpp>Go to the source code of this file.
Namespaces | |
| namespace | Ikarus |
Functions | |
| template<typename Derived > | |
| auto | Ikarus::orthonormalizeMatrixColumns (const Eigen::MatrixBase< Derived > &A) |
| Orthonormalizes all Matrix columns using Gram-Schmidt Orthogonalization. More... | |
| template<typename ValueType > | |
| auto | Ikarus::viewAsFlatEigenVector (Dune::BlockVector< ValueType > &blockedVector) |
| View Dune::BlockVector as an Eigen::Vector. More... | |
| template<typename ValueType > | |
| auto | Ikarus::viewAsFlatEigenVector (const Dune::BlockVector< ValueType > &blockedVector) |
| View const Dune::BlockVector as an Eigen::Vector. More... | |
| template<typename ValueType > | |
| auto | Ikarus::viewAsEigenMatrixAsDynFixed (Dune::BlockVector< ValueType > &blockedVector) |
| View Dune::BlockVector as an Eigen::Matrix with dynamic rows and fixed columns depending on the size of the ValueType. More... | |
| template<typename ValueType > | |
| auto | Ikarus::viewAsEigenMatrixAsDynFixed (const Dune::BlockVector< ValueType > &blockedVector) |
| Const view Dune::BlockVector as an Eigen::Matrix with dynamic rows and fixed columns depending on the size of the ValueType. More... | |
| template<typename ValueType > | |
| auto | Ikarus::viewAsEigenMatrixFixedDyn (Dune::BlockVector< ValueType > &blockedVector) |
| View Dune::BlockVector as an Eigen::Matrix with fixed rows depending on the size of the ValueType and dynamic columns. More... | |
| template<typename ValueType > | |
| auto | Ikarus::viewAsEigenMatrixFixedDyn (const Dune::BlockVector< ValueType > &blockedVector) |
| Const view Dune::BlockVector as an Eigen::Matrix with fixed rows depending on the size of the ValueType and dynamic columns. More... | |
| template<typename Type > requires requires { Type::correctionSize; } | |
| size_t | Ikarus::correctionSize (const Dune::BlockVector< Type > &a) |
| Returns the total correction size of a block vector with a Manifold as the underlying type. More... | |
| template<typename Type > requires requires { Type::valueSize; } | |
| size_t | Ikarus::valueSize (const Dune::BlockVector< Type > &a) |
| Returns the total value size of a block vector with a Manifold as the underlying type. More... | |
| template<typename Type , typename Derived > requires (Ikarus::Concepts::AddAssignAble<Type, decltype(b.template segment<Type::correctionSize>(0))> and requires() { Type::correctionSize; }) | |
| Dune::BlockVector< Type > & | Ikarus::operator+= (Dune::BlockVector< Type > &a, const Eigen::MatrixBase< Derived > &b) |
| Enables the += operator for Dune::BlockVector += Eigen::Vector. More... | |
| template<typename Type , typename Derived > requires (Ikarus::Concepts::AddAssignAble<Type, decltype(b.template segment<Type::correctionSize>(0))> and requires() { Type::correctionSize; }) | |
| Dune::BlockVector< Type > & | Ikarus::operator-= (Dune::BlockVector< Type > &a, const Eigen::MatrixBase< Derived > &b) |
| Enables the -= operator for Dune::BlockVector += Eigen::Vector. More... | |
| template<typename... Types, typename Derived > | |
| Dune::TupleVector< Types... > & | Ikarus::operator+= (Dune::TupleVector< Types... > &a, const Eigen::MatrixBase< Derived > &b) |
| Enables the += operator for Dune::TupleVector += Eigen::Vector. More... | |
| template<typename ManifoldPoint , typename Derived > requires (Ikarus::Concepts::AddAssignAble<ManifoldPoint, decltype(b.template segment<ManifoldPoint::valueSize>(0))> and requires() { ManifoldPoint::valueSize; }) | |
| Dune::BlockVector< ManifoldPoint > & | Ikarus::addInEmbedding (Dune::BlockVector< ManifoldPoint > &a, const Eigen::MatrixBase< Derived > &b) |
| Enables the addition in the embedding space of a vector in the space M^n, where M is a manifold with the points of type ManifoldPoint. More... | |
| template<typename Derived > requires (!std::floating_point<Derived>) | |
| auto | Ikarus::norm (const Eigen::MatrixBase< Derived > &v) |
| Adding free norm function to Eigen types. More... | |
| auto | Ikarus::norm (const std::floating_point auto &v) |
| Helper Free Function to have the same interface as for Eigen Vector Types. More... | |
| template<typename Scalar , int size> | |
| auto | Ikarus::operator* (const Eigen::DiagonalMatrix< Scalar, size > &a, const Eigen::DiagonalMatrix< Scalar, size > &b) |
| Eigen::DiagonalMatrix Product Missing in Eigen. More... | |
| template<typename Scalar , int size> | |
| auto | Ikarus::operator+= (Eigen::DiagonalMatrix< Scalar, size > &a, const Eigen::DiagonalMatrix< Scalar, size > &b) |
| In-place addition for Eigen::DiagonalMatrix. More... | |
| template<typename Derived , typename Scalar , int size> | |
| auto | Ikarus::operator+ (const Eigen::MatrixBase< Derived > &a, const Eigen::DiagonalMatrix< Scalar, size > &b) |
| Eigen::Matrix + Eigen::DiagonalMatrix addition missing in Eigen. More... | |
| template<typename Derived , typename Scalar , int size> | |
| auto | Ikarus::operator+ (const Eigen::DiagonalMatrix< Scalar, size > &a, const Eigen::MatrixBase< Derived > &b) |
| Eigen::DiagonalMatrix + Eigen::Matrix addition missing in Eigen. More... | |
| template<typename Scalar , int size> | |
| auto | Ikarus::operator- (const Eigen::DiagonalMatrix< Scalar, size > &a) |
| Unary minus for Eigen::DiagonalMatrix. More... | |
| template<typename Derived , typename Derived2 > | |
| auto | Ikarus::operator+ (const Eigen::MatrixBase< Derived > &a, const Eigen::DiagonalWrapper< Derived2 > &b) |
| Addition of Eigen::Matrix and Eigen::DiagonalWrapper. More... | |
| template<typename Derived , typename Derived2 > | |
| auto | Ikarus::operator+ (const Eigen::DiagonalWrapper< Derived > &a, const Eigen::MatrixBase< Derived2 > &b) |
| Addition of Eigen::DiagonalWrapper and Eigen::Matrix. More... | |
| template<typename Scalar , int size> | |
| std::ostream & | Ikarus::operator<< (std::ostream &os, const Eigen::DiagonalMatrix< Scalar, size > &a) |
| Output stream operator for Eigen::DiagonalMatrix. More... | |
| template<typename Derived > | |
| Derived | Ikarus::sym (const Eigen::MatrixBase< Derived > &A) |
| Returns the symmetric part of a matrix. More... | |
| template<typename Derived > | |
| Derived | Ikarus::skew (const Eigen::MatrixBase< Derived > &A) |
| Returns the skew part of a matrix. More... | |
| template<typename Derived > | |
| void | Ikarus::printForMaple (const Eigen::EigenBase< Derived > &A) |
| Method to print the matrix in a format that can directly be copied to Maple. More... | |
| template<typename FieldVectorT > | |
| auto | Ikarus::createRandomVector (typename FieldVectorT::value_type lower=-1, typename FieldVectorT::value_type upper=1) |
| Creates a random vector of the specified type within a given range. More... | |
| template<typename ScalarType > | |
| Eigen::Matrix< ScalarType, 3, 3 > | Ikarus::skew (const Eigen::Vector< ScalarType, 3 > &a) |
| Create skew 3x3 matrix from 3d vector. More... | |
| template<typename Derived , size_t sizeOfCondensedIndices> | |
| auto | Ikarus::staticCondensation (const Eigen::MatrixBase< Derived > &E, const std::array< size_t, sizeOfCondensedIndices > &indices) |
| Performs static condensation on a square matrix. More... | |
| template<typename Derived , size_t sizeOfRemovedCols> | |
| auto | Ikarus::removeCol (const Eigen::MatrixBase< Derived > &E, const std::array< size_t, sizeOfRemovedCols > &indices) |
| Removes specified columns from a matrix. More... | |
| template<typename ST , typename MaterialImpl > | |
| auto | Ikarus::toVoigtAndMaybeReduce (const Eigen::Matrix< ST, 3, 3 > &E, const MaterialImpl &material, bool isStrain=true) |
| Converts a 3x3 matrix to Voigt notation, possibly reducing it based on material properties. More... | |
| template<typename M , typename Derived > | |
| decltype(auto) | Ikarus::enlargeIfReduced (const Eigen::MatrixBase< Derived > &E) |
| Enlarges a matrix if it reduced in the context of material laws, i.e., VanishingStress If the material is not reduced the untouched matrix is returned and rendering the function as a NoOp. More... | |
Variables | |
| template<int dim> | |
| constexpr auto | Ikarus::voigtNotationContainer = std::get<dim - 1>(Impl::voigtIndices) |
| Container for Voigt notation indices based on dimension.1D: 0,0 2D: 0,0; 1,1; 0,1 3D: 0,0; 1,1; 2,2; 1,2; 0,2; 0,1. More... | |
0.4.1
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