Source code for superflexpy.utils.root_finder

"""
Copyright 2020 Marco Dal Molin et al.

This file is part of SuperflexPy.

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

SuperflexPy is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
GNU Lesser General Public License for more details.

You should have received a copy of the GNU Lesser General Public License
along with SuperflexPy. If not, see <https://www.gnu.org/licenses/>.

This file is part of the SuperflexPy modelling framework. For details about it,
visit the page https://superflexpy.readthedocs.io

CODED BY: Marco Dal Molin
DESIGNED BY: Marco Dal Molin, Fabrizio Fenicia, Dmitri Kavetski

This file contains the implementation of the base class for the root finder in
case of elements governed by ODEs
"""


[docs] class RootFinder(): """ This is the abstract class for the creation of a RootFinder. It defines how the solver of the differential equation must be implemented. """ architecture = None """ Implementation required to increase the performance (e.g. numba) """
[docs] def __init__(self, tol_F=1e-8, tol_x=1e-8, iter_max=10): """ The constructor of the subclass must accept the parameters of the solver. Parameters ---------- tol_F : float Tolerance on the y axis (distance from 0) that stops the solver tol_x : float Tolerance on the x axis (distance between two roots) that stops the solver iter_max : int Maximum number of iteration of the solver. After this value it raises a runtime error """ self._tol_F = tol_F self._tol_x = tol_x self._iter_max = iter_max self._name = 'Solver'
[docs] def get_settings(self): """ This method returns the settings of the root finder. Returns ------- float Function tollerance (tol_F) float X tollerance (tol_x) int Maximum number of iterations (iter_max) """ return ( self._tol_F, self._tol_x, self._iter_max, )
def __repr__(self): str = 'Module: superflexPy\nClass: {}\n'.format(self._name) str += 'Parameters:\n' str += '\ttol_F = {}\n'.format(self._tol_F) str += '\ttol_x = {}\n'.format(self._tol_x) str += '\titer_max = {}'.format(self._iter_max) return str
[docs] def solve(self, *args, **kwargs): """ To be implemented by any child class. This method finds the root of the numerical approximation of the differential equation. It can operate over the whole time series. """ raise NotImplementedError('The method solve must be implemented')