Matrix.h file

Dense matrix classes and scalar aliases.

This file provides Rodin matrix types with Eigen storage and expression support. Matrices are stored in column-major order by default and support both dynamic and fixed sizes.

Namespaces

namespace Eigen: Eigen interoperability declarations for Rodin mathematical types.
namespace Eigen::internal: Eigen traits and evaluators for Rodin matrices and vectors.
namespace Rodin: The Rodin library for finite element methods and shape optimization.
namespace Rodin::Math: Spatial arithmetic, matrix operations, and sparse linear algebra.
namespace Rodin::FormLanguage: Typed expressions for constructing variational forms.

Classes

template<class Scalar> struct Eigen::internal::traits<Rodin::Math::Matrix<Scalar>>: Retains Eigen map and reference support for dynamic Rodin matrices.
template<class Scalar, size_t Rows, size_t Cols> struct Eigen::internal::traits<Rodin::Math::FixedSizeMatrix<Scalar, Rows, Cols>>: Retains Eigen map and reference support for fixed-size Rodin matrices.
template<class Scalar> struct Eigen::internal::eval<Rodin::Math::Matrix<Scalar>, Dense>: Retains an already evaluated dynamic matrix without copying it.
template<class Scalar, size_t Rows, size_t Cols> struct Eigen::internal::eval<Rodin::Math::FixedSizeMatrix<Scalar, Rows, Cols>, Dense>: Retains an already evaluated fixed-size matrix without copying it.
template<class Scalar> struct Eigen::internal::evaluator<Rodin::Math::Matrix<Scalar>>: Evaluates dynamic Rodin matrices through their Eigen storage.
template<class Scalar, size_t Rows, size_t Cols> struct Eigen::internal::evaluator<Rodin::Math::FixedSizeMatrix<Scalar, Rows, Cols>>: Evaluates fixed-size Rodin matrices through their Eigen storage.
template<class ScalarType> class Rodin::Math::Matrix: Dynamic-size dense matrix.
template<class ScalarType, size_t Rows, size_t Cols> class Rodin::Math::FixedSizeMatrix: Compile-time fixed-size dense matrix.
template<class Number, int Rows, int Cols, int Options, int MaxRows, int MaxCols> struct Rodin::FormLanguage::Traits<Eigen::Matrix<Number, Rows, Cols, Options, MaxRows, MaxCols>>: Scalar type of a native Eigen dense matrix, including fixed and bounded types.
template<class Number> struct Rodin::FormLanguage::Traits<Math::Matrix<Number>>: Type traits for a dense Math::Matrix, exposing the scalar type.
template<class Number, size_t Rows, size_t Cols> struct Rodin::FormLanguage::Traits<Math::FixedSizeMatrix<Number, Rows, Cols>>: Scalar type of a fixed-size Rodin dense matrix.