mirror of
https://codeberg.org/Yael-II/MSc2-Project-Chaos.git
synced 2026-03-15 12:16:27 +01:00
57 lines
1.8 KiB
Python
57 lines
1.8 KiB
Python
#!/usr/bin/env python
|
|
"""
|
|
Energies
|
|
|
|
Compute energies (kinetic or total)
|
|
|
|
@ Author: Moussouni, Yaël (MSc student) & Bhat, Junaid Ramzan (MSc student)
|
|
@ Institution: Université de Strasbourg, CNRS, Observatoire astronomique
|
|
de Strasbourg, UMR 7550, F-67000 Strasbourg, France
|
|
@ Date: 2025-01-01
|
|
|
|
Licence:
|
|
Order and Chaos in a 2D potential
|
|
Copyright (C) 2025 Yaël Moussouni (yael.moussouni@etu.unistra.fr)
|
|
Bhat, Junaid Ramzan (junaid-ramzan.bhat@etu.unistra.fr)
|
|
|
|
energies.py
|
|
Copyright (C) 2025 Yaël Moussouni (yael.moussouni@etu.unistra.fr)
|
|
Bhat, Junaid Ramzan (junaid-ramzan.bhat@etu.unistra.fr)
|
|
|
|
This program 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.
|
|
|
|
This program 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 General Public License for more details.
|
|
|
|
You should have received a copy of the GNU General Public License
|
|
along with this program. If not, see https://www.gnu.org/licenses/.
|
|
"""
|
|
|
|
import numpy as np
|
|
|
|
def kinetic(W: np.ndarray) -> np.ndarray:
|
|
"""Computes the kinetic energy.
|
|
@param
|
|
- W: Phase-space vectors
|
|
@returns
|
|
- T: Kinetic energy
|
|
"""
|
|
U = W[1,0]
|
|
V = W[1,1]
|
|
# If U or V is not an array (or a list), but rather a scalar, then we
|
|
# create a list of one element so that it can work either way
|
|
if np.ndim(U) == 0: U = np.array([U])
|
|
if np.ndim(V) == 0: V = np.array([V])
|
|
|
|
return (U**2 + V**2)/2
|
|
|
|
def total(W: np.ndarray,
|
|
potential,
|
|
kinetic = kinetic) -> np.ndarray:
|
|
return potential(W) + kinetic(W)
|