v0.8.0/cpp/polyset_8h_source.html

// Copyright (c) 2020 Chris Richardson & Matthew Scroggs

// FEniCS Project

// SPDX-License-Identifier:    MIT


#pragma once


#include "cell.h"

#include "mdspan.hpp"

#include <array>

#include <concepts>

#include <utility>

#include <vector>


namespace basix::polyset

{


enum class type

{

  standard = 0,

  macroedge = 1,

};


template <std::floating_point T>

std::pair<std::vector<T>, std::array<std::size_t, 3>>

tabulate(cell::type celltype, polyset::type ptype, int d, int n,

         MDSPAN_IMPL_STANDARD_NAMESPACE::mdspan<

             const T, MDSPAN_IMPL_STANDARD_NAMESPACE::dextents<std::size_t, 2>>

             x);


template <std::floating_point T>

void tabulate(

    MDSPAN_IMPL_STANDARD_NAMESPACE::mdspan<

        T, MDSPAN_IMPL_STANDARD_NAMESPACE::dextents<std::size_t, 3>>

        P,

    cell::type celltype, polyset::type ptype, int d, int n,

    MDSPAN_IMPL_STANDARD_NAMESPACE::mdspan<

        const T, MDSPAN_IMPL_STANDARD_NAMESPACE::dextents<std::size_t, 2>>

        x);


int dim(cell::type cell, polyset::type ptype, int d);


int nderivs(cell::type cell, int d);


polyset::type superset(cell::type cell, polyset::type type1,

                       polyset::type type2);


polyset::type restriction(polyset::type ptype, cell::type cell,

                          cell::type restriction_cell);


} // namespace basix::polyset

basix::cell::type
type
Cell type.
Definition: cell.h:21

basix::polyset
Polynomial expansion sets.
Definition: polyset.h:132

basix::polyset::type
type
Cell type.
Definition: polyset.h:136

basix::polyset::dim
int dim(cell::type cell, polyset::type ptype, int d)
Dimension of a polynomial space.
Definition: polyset.cpp:3249

basix::polyset::tabulate
std::pair< std::vector< T >, std::array< std::size_t, 3 > > tabulate(cell::type celltype, polyset::type ptype, int d, int n, MDSPAN_IMPL_STANDARD_NAMESPACE::mdspan< const T, MDSPAN_IMPL_STANDARD_NAMESPACE::dextents< std::size_t, 2 > > x)
Tabulate the orthonormal polynomial basis, and derivatives, at points on the reference cell.
Definition: polyset.cpp:3218

basix::polyset::nderivs
int nderivs(cell::type cell, int d)
Number of derivatives that the orthonormal basis will have on the given cell.
Definition: polyset.cpp:3298

basix::polyset::superset
polyset::type superset(cell::type cell, polyset::type type1, polyset::type type2)
Get the polyset types that is a superset of two types on the given cell.
Definition: polyset.cpp:3323

basix::polyset::restriction
polyset::type restriction(polyset::type ptype, cell::type cell, cell::type restriction_cell)
Get the polyset type that represents the restrictions of a type on a subentity.
Definition: polyset.cpp:3335