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
11 Oct 11, 2022
3 Nov 14, 2022
14 Nov 12, 2022
2 Feb 08, 2022
1 Nov 14, 2021
0 Dec 09, 2021
1 Dec 05, 2021
1 Feb 15, 2022
7 Dec 30, 2022
3 Sep 17, 2022
15 Oct 17, 2021
70 Nov 10, 2022
31 Nov 08, 2022
3 Nov 04, 2022
0 Nov 02, 2021
1 Feb 09, 2022
1 Dec 16, 2021
7 Nov 02, 2022
1 Jun 19, 2022
3 May 25, 2022