symfem.polynomials.degree_computation

Functions to compute the degree of polynomials.

Functions

monomial_degree(→ int)	Get the degree of a sympy monomial.
simplex_degree(→ int)	Get the degree of a polynomial on a simplex cell.
tp_degree(→ int)	Get the degree of a polynomial on a tensor product cell.
prism_degree(→ int)	Get the degree of a polynomial on a prism.
pyramid_degree(→ int)	Get the degree of a polynomial on a pyramid.
degree(→ int)	Get the Lagrange degree of a polynomial on a reference cell.

Module Contents

symfem.polynomials.degree_computation.monomial_degree(term: sympy.core.expr.Expr, vars: tuple[sympy.Symbol, Ellipsis] = x) → int

Get the degree of a sympy monomial.

symfem.polynomials.degree_computation.simplex_degree(polynomial: sympy.core.expr.Expr, vars: tuple[sympy.Symbol, Ellipsis] = x) → int

Get the degree of a polynomial on a simplex cell.

Parameters:

polynomial – The polynomial

Returns:

The degree of the polynomial on a simplex cell

symfem.polynomials.degree_computation.tp_degree(polynomial: sympy.core.expr.Expr, vars: tuple[sympy.Symbol, Ellipsis] = x) → int

Get the degree of a polynomial on a tensor product cell.

Parameters:

polynomial – The polynomial

Returns:

The degree of the polynomial on a tensor product cell

symfem.polynomials.degree_computation.prism_degree(polynomial: sympy.core.expr.Expr, vars: tuple[sympy.Symbol, Ellipsis] = x) → int

Get the degree of a polynomial on a prism.

Parameters:

polynomial – The polynomial

Returns:

The degree of the polynomial on a prism

symfem.polynomials.degree_computation.pyramid_degree(polynomial: sympy.core.expr.Expr, vars: tuple[sympy.Symbol, Ellipsis] = x) → int

Get the degree of a polynomial on a pyramid.

Parameters:

polynomial – The polynomial

Returns:

The degree of the polynomial on a pyramid

symfem.polynomials.degree_computation.degree(reference: symfem.references.Reference, polynomial: symfem.functions.Function, vars: tuple[sympy.Symbol, Ellipsis] = x) → int

Get the Lagrange degree of a polynomial on a reference cell.

Parameters:

• reference – The reference cell

• polynomial – The polynomial

Returns:

The degree of the polynomial on the reference cell