boolean – Creating a truth table for any expression in Python
boolean – Creating a truth table for any expression in Python
I have a library that does exactly what you want!
Check out the github repo or find it here on pypi.
The readme describes how everything works, but heres a quick example:
from truths import Truths
print Truths([a, b, x, d], [(a and b), a and b or x, a and (b or x) or d])
+---+---+---+---+-----------+--------------+---------------------+
| a | b | x | d | (a and b) | a and b or x | a and (b or x) or d |
+---+---+---+---+-----------+--------------+---------------------+
| 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| 0 | 0 | 0 | 1 | 0 | 0 | 1 |
| 0 | 0 | 1 | 0 | 0 | 1 | 0 |
| 0 | 0 | 1 | 1 | 0 | 1 | 1 |
| 0 | 1 | 0 | 0 | 0 | 0 | 0 |
| 0 | 1 | 0 | 1 | 0 | 0 | 1 |
| 0 | 1 | 1 | 0 | 0 | 1 | 0 |
| 0 | 1 | 1 | 1 | 0 | 1 | 1 |
| 1 | 0 | 0 | 0 | 0 | 0 | 0 |
| 1 | 0 | 0 | 1 | 0 | 0 | 1 |
| 1 | 0 | 1 | 0 | 0 | 1 | 1 |
| 1 | 0 | 1 | 1 | 0 | 1 | 1 |
| 1 | 1 | 0 | 0 | 1 | 1 | 1 |
| 1 | 1 | 0 | 1 | 1 | 1 | 1 |
| 1 | 1 | 1 | 0 | 1 | 1 | 1 |
| 1 | 1 | 1 | 1 | 1 | 1 | 1 |
+---+---+---+---+-----------+--------------+---------------------+
Hope this helps!
You could simply define any boolean function right in python.
consider the following example:
def f(w,x,y,z):
return (x and y) and (w or z)
Ive wrote a snippet that takes any function f, and returns its truth table:
import pandas as pd
from itertools import product
def truth_table(f):
values = [list(x) + [f(*x)] for x in product([False,True], repeat=f.func_code.co_argcount)]
return pd.DataFrame(values,columns=(list(f.func_code.co_varnames) + [f.func_name]))
Using this will yield (in a nicely formatted html if youre using IPython Notebook):
truth_table(f)
w x y z f
0 False False False False False
1 False False False True False
2 False False True False False
3 False False True True False
4 False True False False False
5 False True False True False
6 False True True False False
7 False True True True True
8 True False False False False
9 True False False True False
10 True False True False False
11 True False True True False
12 True True False False False
13 True True False True False
14 True True True False True
15 True True True True True
Cheers.
boolean – Creating a truth table for any expression in Python
You probably want to do something like this:
from itertools import product
for p in product((True, False), repeat=len(variables)):
# Map variable in variables to value in p
# Apply boolean operators to variables that now have values
# add result of each application to column in truth table
pass
But the inside of the for loop is the hardest part, so good luck.
This is an example of what you would be iterating over in the case of three variables:
>>> list(product((True, False), repeat=3))
[(True, True, True), (True, True, False), (True, False, True), (True, False, False), (False, True, True), (False, True, False), (False, False, True), (False, False, False)]