Jomini v0.1.4
Jomini creates military simulations by using mathematical combat models. Designed to be helpful for game developers, students, history enthusiasts and -to some extent- scientists. You can mail me at [email protected] if you want to contribute.
To download: https://pypi.org/project/Jomini
Documentation will be available in the next update.
Lanchester Models 101
This package uses the combat models developed by Frederick William Lanchester, a.k.a one of the founding fathers of Operations Research.
- Lanchester Models are deterministic, which means the model will always yield the same result for the same input parameters.
- Lanchester Models view battles as an attrition model, therefore manuevers and sudden changes during the battle can not be represented.
- You might need to do some manual fine-tuning if you are not able to get quality parameters (rho, beta, engagement_width) from a data set.
- Despite the downsides, even the primitive models developed by Lanchester himself works wonders with the right parameters.
Code Sample: Lanchester's Linear Law
- The Linear Law is based on force concentration
- Good for modelling melee battles and unaimed fire (artillery, arquebus, handcannon etc.)
from jomini.Lanchester import Battle, LinearLaw
# Re-creating the Battle of Cerignola (AD 1503)
# In the actual battle, Spanish(red) lost 500 men while the French(blue) lost 4000 men
# Parameters rho, beta, engagement_width and time are manually fine_tuned
b = Battle(red=6_300, blue=9_000, rho=0.0800, beta=0.0100)
L = LinearLaw(b, engagement_width=100)
print(L.get_casualty_rates()) # Returns casualty rates
print(L.get_casualties(time=7))
print(L.get_remaining(time=7))
print(L.simulate_battle(time=7))
Code Sample: Visiting models used in Jomini
- Square Law: Given equal power coefficients, the fighting power is proportional to the square of army size.
- Good for modelling aimed fire (e.g Napoleonic line-battles)
- Logarithmic Law: Basically square law at a larger scale, used by Weiss to model the American Civil War
- Good for modelling tank combat as well
from jomini.Lanchester import Battle, LinearLaw, SquareLaw, LogarithmicLaw, GeneralLaw
# Simulating a fictitious battle with each of the laws
b = Battle(red=20_000, blue=30_000, rho=0.0150, beta=0.0120)
Linear = LinearLaw(b, engagement_width=500)
Square = SquareLaw(b)
Log = LogarithmicLaw(b)
Generalized = GeneralLaw(b, engagement_width=500, p=0.450, q=0.600)
# If time is not specified, the battle goes on until one side is annihilated.
print(Linear.simulate_battle() + "\n")
print(Square.simulate_battle() + "\n")
print(Log.simulate_battle() + "\n")
print(Generalized.simulate_battle())
7 Feb 10, 2022
13 Dec 30, 2022
35 Jan 3, 2023
6.1k Dec 30, 2022
1.4k Dec 22, 2022
5 Jan 26, 2022
2 Mar 1, 2022
23 Dec 25, 2022
5 Jun 9, 2021
4 Oct 28, 2022
4 May 16, 2022
2 Dec 10, 2021
1 Nov 27, 2021
2 Jan 08, 2022
1 Dec 05, 2021
242 Jan 02, 2023
1 Jan 01, 2022
1 Dec 12, 2022
5 Dec 05, 2021
1 Nov 30, 2021
69 Jan 31, 2022
2 Feb 01, 2022
1 Dec 21, 2021
1 Jan 24, 2022
3 Sep 17, 2022
3 Jan 04, 2023
7 Aug 08, 2022
17 Nov 19, 2022