Maximize your score in a turn of the Generala dice game

generala

generala is a probabilistic tool for the dice game of Generala.

generala helps you decide which dice to hold after each roll. Starting from the dice you have, the tool considers all possible future rolls to find which combinations of held dice give the best expected scores for the different categories. It uses every CPU core available to lower the computation times to just a few seconds.

The categories and scores in the tool correspond to the variant of the game played in my family. As there are many variants of the game—each of which assigns scores to the categories differently—you may want to check out the generala.categories module and modify it as desired.

Installation

generala is available as a Python package on PyPI. Assuming you have Python 3.5 or later, install it by running the command:

$pip3 install generala  or: $ python3 -m pip install generala


Optionally, a --user option can be added to the previous commands to install the tool for the current user only (to avoid the need for system administrator privileges).

Usage

Command-line usage

Suppose we got the dice (4,4,1,2,6) on the first roll in a game. Run generala as:

$generala 1 44126  or, alternatively: $ python3 -m generala 1 44126


The program responds with the best expected scores for each category. The third column ("Hold dice") tells us which dice we should hold for the expected score to apply. The final row ("any") looks to maximize the overall expected score irrespective of category.

Computing. This may take a few seconds....
Category    Expected score Hold dice
1s             2.22     1
2s             4.44     2
3s             4.58     none
4s            11.67     44
5s             7.64     none
6s            13.33     6
Straight          5.52     24
Full house        13.47     44
Four of a kind      17.18     44
Generala          2.91     44
Double Generala      0.00     any
any           33.15     44


Let's say we kept (4,4) and got (5,4,3) on the second roll. We run generala again:

$generala 2 44543  The tool outputs:  Category Expected score Hold dice 1s 0.83 none 2s 1.67 none 3s 5.00 3 4s 13.33 444 5s 8.33 5 6s 5.00 none Straight 3.33 345 Full house 8.33 4445 or 3444 Four of a kind 22.22 444 Generala 2.78 444 Double Generala 0.00 any any 38.61 444  After the third and final roll, the tool can give the final scores. Assuming we have the dice (4,4,4,3,2): $ generala 3 44432

   Category      Score
1s            0
2s            2
3s            3
4s           12
5s            0
6s            0
Straight         0
Full house        0
Four of a kind      0
Generala         0
Double Generala     0
any          12


Closed categories

You can also specify, via options, which categories are closed (i.e., no longer available for scoring). For example, with:

$generala -46fpg 1 44126  we tell the tool that the categories 4s, 6s, Full house, Four of a kind, and Generala are closed—which results in those categories not being considered in the computation:  Category Expected score Hold dice 1s 2.22 1 2s 4.44 2 3s 4.58 none 5s 7.64 none Straight 5.52 24 Double Generala 5.81 44 any 12.00 44  For a list of all available options, run: $ generala --help


As a Python package

It is also possible to call into the functionality from a Python program. Here's an example.

from generala import expected_score, counts, dice
from generala.categories import straight, all_categories

c = counts((4,4,1,2,6))

score, held = expected_score(category=straight, counts=c, roll=1, open_categories=all_categories, return_held=True)

print("Hold dice {}. Expected score: {:.2f}".format(dice(held[0]), score))


When run, that snippet will print:

Hold dice (2, 4). Expected score: 5.52


That's all. Good luck!

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