Source code for

# -*- coding: utf-8 -*-
This file is part of FElupe.

FElupe is free software: you can redistribute it and/or modify
it under the terms of the GNU General Public License as published by
the Free Software Foundation, either version 3 of the License, or
(at your option) any later version.

FElupe is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of
GNU General Public License for more details.

You should have received a copy of the GNU General Public License
along with FElupe.  If not, see <>.

import numpy as np
from scipy.interpolate import interp1d
from scipy.sparse import issparse

[docs]def force(field, r, boundary): if issparse(r): r = r.toarray() return ( ((np.split(r, field.offsets)[0]).reshape(-1, field[0].dim))[boundary.points] ).sum(0)
[docs]def moment(field, r, boundary, point=np.zeros(3)): if issparse(r): r = r.toarray() point = point.reshape(1, 3) indices = np.array([(1, 2), (2, 0), (0, 1)]) displacements = field[0].values force = (np.split(r, field.offsets)[0]).reshape(-1, 3) d = ((point + displacements) - point)[boundary.points] f = force[boundary.points] return np.array([(f[:, i] * d[:, i[::-1]]).sum() for i in indices])
def curve(x, y): kind = [None, "linear", "quadratic", "cubic"][min(len(y), 4) - 1] f = interp1d(x[: len(y)], y, kind=kind) xx = np.linspace(x[0], x[: len(y)][-1]) return np.array([x[: len(y)], y]), np.array([xx, f(xx)])