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The main goal of this Python library is to propose an object to emulate Year Zero Engine dice throwing. It also feature probability simulations to give you an idea of the chances you get to succeed or fail.

What is it about?

The Year Zero Engine is a very nice Roleplaying Game system created by the terrific Tomas Härenstam at Free League Publishing. You can check the SRD to see how it is done or the games directly.

This Python module is unofficial and not affiliated with Free League. I've made it just for fun.

System supported:

  • Mutant: Year Zero
  • Forbidden Lands
  • Twilight 2000
  • Alien
  • Blade Runner

TODO

  • negative dice for MYZ and FBL

Example

. my_py_venv/bin/activate
git clone https://github.com/nlegrand/yze.git
cd yze
python -m pip install -e .
python
Python 3.11.3 (main, Apr  8 2023, 02:16:51) [Clang 14.0.0 (clang-1400.0.29.202)] on darwin
Type "help", "copyright", "credits" or "license" for more information.
>>> from yze.dice import MutantDicePool
>>> d = MutantDicePool(attr=3, skill=2, gear=2)
>>> d.throw()
{'attr': [5, 6, 6], 'skill': [1, 4], 'gear': [6, 2]}
>>> d.push()
{'attr': [2, 6, 6], 'skill': [5, 2], 'gear': [6, 1]}
>>> from yze.dice import FBLDicePool
>>> fbl = FBLDicePool(attr=2, skill=1, artefact=12)
>>> fbl.throw()
{'attr': [2, 2], 'skill': [2], 'gear': [], 'artefact': (8, 2)}
>>> fbl.push()
{'attr': [2, 6], 'skill': [3], 'gear': [], 'artefact': (8, 2)}
>>> from yze.dice import AlienDicePool
>>> alien = AlienDicePool(pool=4, stress=1)
>>> alien.throw()
{'pool': [4, 1, 6, 1], 'stress': [2]}
>>> alien.push()
{'pool': [1, 3, 6, 2], 'stress': [1, 1]}

Probability simulation: Odds of pushing

Free League gives very general chances to get a succes when rolling and pushing a dice pool according to it’s size. But how can we get odds after the first roll is made? mutant_odds_of_pushing tries do do exactly that. Here is the doc:

$ mutant_odds_of_pushing  --help           
usage: mutant_odds_of_pushing [-h] [-t THROWS] -a ATTRIBUTE_DICE [-s SKILL_DICE] [-g GEAR_DICE]

Once you get a result, what are your odds when pushing it? feed this command your results and see what is likely or not to happen

options:
  -h, --help            show this help message and exit
  -t THROWS, --throws THROWS
  -a ATTRIBUTE_DICE, --attribute_dice ATTRIBUTE_DICE
                        List your dice results eg: 253
  -s SKILL_DICE, --skill_dice SKILL_DICE
                        List your dice results eg: 45
  -g GEAR_DICE, --gear_dice GEAR_DICE
                        List your dice results eg: 32

Experimental probabilities made with pseudo random numbers. Maybe it’s not the best you can get :).

And here is an example:

$ mutant_odds_of_pushing -a 253 -s 45 -g 32
Throwing dice 100000 times !
Odds of having:
    -at least one success: 72.026 %
    -at least one attr botch: 42.091 %
    -at least one gear botch: 30.404 %
    - 1 successes: 39.356 %
    - 2 successes: 23.168 %
    - 3 successes: 7.759 %
    - 4 successes: 1.543 %
    - 5 successes: 0.192 %
    - 6 successes: 0.008 %
    - 1 attribute botchs: 34.628 %
    - 2 attribute botchs: 6.957 %
    - 3 attribute botchs: 0.506 %
    - 1 gear botchs: 27.686 %
    - 2 gear botchs: 2.718 %

Running multiple times produce different odds, but in the same order.

Probability simulation: Benchmark

You can also benchmark dice rolls to see what are your chances to get some successes or damage.

Simple command

$ benchmark_mutant  -a 4 -s 2 -g 2
Throwing dice pool (attribute: 4, skill: 2, gear: 2) 100000 times !
at least one success: 76.791 %
at least on pushed succes: 93.235 %
at least one damage to attribute: 73.079 %
at least one damage to gear: 47.882 %
Successes on first roll:
    chances to get 1: 37.343 %
    chances to get 2: 25.997 %
    chances to get 3: 10.273 %
    chances to get 4: 2.718 %
    chances to get 5: 0.422 %
    chances to get 6: 0.036 %
    chances to get 7: 0.002 %
Successes on pushed roll:
    chances to get 1: 21.921 %
    chances to get 2: 30.324 %
    chances to get 3: 24.232 %
    chances to get 4: 11.968 %
    chances to get 5: 3.886 %
    chances to get 6: 0.813 %
    chances to get 7: 0.088 %
    chances to get 8: 0.003 %
Attribute damage:
    chances to get 1: 41.93 %
    chances to get 2: 24.337 %
    chances to get 3: 6.247 %
    chances to get 4: 0.565 %
Gear damage:
    chances to get 1: 40.233 %
    chances to get 2: 7.649 %

Probability simulation: Complete output

You can have a rather complete output giving you percentage of success after multiple rolls (default 100000). The table is rather long so I have abbreviated the column names : s. is for successes, p. for pushed and d. for damage. alo is for at least one.

benchmark_mutant -c
Attr	Skill	Gear	alo s.	alo p.	alo attr d.	alo gear d.	1 s.	2 s.	3 s.	4 s.	5 s.	6 s.	7 s.	8 s.	9 s.	10 s.	1 p. s.	2 p. s.	3 p. s.	4 p. s.	5 p. s.	6 p. s.	7 p. s.	8 p. s.	9 p. s.	10 p. s.	11 p. s.	12 p. s.	1 attr. d.	2 attr. d.	3 attr. d.	4 attr. d.	5 attr. d.	6 attr. d.	1 gear d.	2 gear d.	3 gear d.
1	0	0	16.528 	27.636 	28.133	0.0	16.528										27.636									28.133								
1	0	1	30.459 	47.757 	27.962	27.701	27.671	2.788									40.042	7.715								27.962						27.701
1	0	2	42.234 	62.36 	27.735	47.801	34.803	6.949	0.482								43.256	17.042	2.062							27.735						40.079	7.722
...

You can consult a version of this output on github.

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Something to emulate YZE dice throwing

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