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// Copyright (c) 2020 Chris Richardson & Matthew Scroggs
// FEniCS Project
// SPDX-License-Identifier: MIT
#include "dof-permutations.h"
using namespace basix;
//-----------------------------------------------------------------------------
Eigen::ArrayXi dofperms::interval_reflection(int degree)
{
Eigen::ArrayXi perm(degree);
for (int i = 0; i < degree; ++i)
perm(i) = degree - 1 - i;
return perm;
}
//-----------------------------------------------------------------------------
Eigen::ArrayXi dofperms::triangle_reflection(int degree)
{
const int n = degree * (degree + 1) / 2;
Eigen::ArrayXi perm(n);
int p = 0;
for (int st = 0; st < degree; ++st)
{
int dof = st;
for (int add = degree; add > st; --add)
{
perm(p++) = dof;
dof += add;
}
}
return perm;
}
//-----------------------------------------------------------------------------
Eigen::ArrayXi dofperms::triangle_rotation(int degree)
{
const int n = degree * (degree + 1) / 2;
Eigen::ArrayXi perm(n);
int p = 0;
int st = n - 1;
for (int i = 1; i <= degree; ++i)
{
int dof = st;
for (int sub = i; sub <= degree; ++sub)
{
perm(p++) = dof;
dof -= sub + 1;
}
st -= i;
}
return perm;
}
//-----------------------------------------------------------------------------
Eigen::ArrayXi dofperms::quadrilateral_reflection(int degree)
{
const int n = degree * degree;
Eigen::ArrayXi perm(n);
int p = 0;
for (int st = 0; st < degree; ++st)
for (int i = 0; i < degree; ++i)
perm(p++) = st + i * degree;
return perm;
}
//-----------------------------------------------------------------------------
Eigen::ArrayXi dofperms::quadrilateral_rotation(int degree)
{
const int n = degree * degree;
Eigen::ArrayXi perm(n);
int p = 0;
for (int st = degree - 1; st >= 0; --st)
for (int i = 0; i < degree; ++i)
perm(st + degree * i) = p++;
return perm;
}
//-----------------------------------------------------------------------------
Eigen::ArrayXXd dofperms::interval_reflection_tangent_directions(int degree)
{
return -Eigen::MatrixXd::Identity(degree, degree);
}
//-----------------------------------------------------------------------------
Eigen::ArrayXXd dofperms::triangle_reflection_tangent_directions(int degree)
{
Eigen::ArrayXXd dirs
= Eigen::ArrayXXd::Zero(degree * (degree + 1), degree * (degree + 1));
for (int i = 0; i < degree * (degree + 1); i += 2)
{
dirs(i, i + 1) = 1;
dirs(i + 1, i) = 1;
}
return dirs;
}
//-----------------------------------------------------------------------------
Eigen::ArrayXXd dofperms::triangle_rotation_tangent_directions(int degree)
{
Eigen::ArrayXXd dirs
= Eigen::ArrayXXd::Zero(degree * (degree + 1), degree * (degree + 1));
for (int i = 0; i < degree * (degree + 1); i += 2)
{
dirs(i, i + 1) = -1;
dirs(i + 1, i) = 1;
dirs(i, i) = -1;
}
return dirs;
}
//-----------------------------------------------------------------------------
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