IdentityMatrix

Represents the identity matrix function .

class IdentityMatrix;

This class represents the matrix function that returns the dimensional identity matrix at each point:

Commonly used in finite element formulations for identity operators or as a reference configuration.

Direct inheritance by class family

↓

IdentityMatrix

Inherits from

Base class	Responsibility
`MatrixFunctionBase<Real, IdentityMatrix>`public Full type MatrixFunctionBase< Real, IdentityMatrix >	Base class for matrix-valued functions defined on a mesh.

Member	Base declaration
`copy()`	MatrixFunctionBase::copy

Declared in	Members
`FunctionBase`	8 members `getDerived()` `getTraceDomain()` `operator=()` `T()` `TraceDomain` `x()` `y()` `z()`
`FormLanguage::Base`	3 members `getName()` `operator=()` `operator=()`
`Identifiable`	2 members `getUUID()` `UUID`
`MatrixFunctionBase`	7 members `operator()()` `operator()()` `operator()()` `operator()()` `traceOf()` `traceOf()` `traceOf()`

using ScalarType = Real: Scalar value type.
using Parent = MatrixFunctionBase<ScalarType, IdentityMatrix>: Parent class type.

auto getRows() const -> size_t: Gets number of rows.
auto getColumns() const -> size_t: Gets number of columns.
auto getValue(const Geometry::Point& point) const -> Math::SpatialMatrix<Real>: Evaluates the identity matrix at a point.
auto getOrder(const Geometry::Polytope& polytope) const -> Optional<size_t> constexpr noexcept: Returns the polynomial order used on a mesh entity.
auto copy() const -> IdentityMatrix* override noexcept: Creates a polymorphic copy of the identity matrix.

Constructs the identity matrix function.

Parameters
n	Dimension of identity matrix

Copy constructor.

Parameters
other	Identity matrix to copy

Move constructor.

Parameters
other	Identity matrix to move

Gets number of rows.

Returns	Dimension

Gets number of columns.

Returns	Dimension

Evaluates the identity matrix at a point.

Parameters
point	Evaluation point; the result is independent of this argument.
Returns	Identity matrix

Returns the polynomial order used on a mesh entity.

Parameters
polytope	Mesh entity; the reported order is independent of this argument.
Returns	Polynomial order on the entity, or an empty optional when no order is available.

Creates a polymorphic copy of the identity matrix.

Returns	Pointer to copy