LogExAn 0.0.1

Logical Expression Analysis

LogExAn (Logical Expression Analysis)

• A Solver for Solving any Logical Expressions with respect to the results expected, shortly Reverse calculations of logical expressions with respect to Boolean results(True/False).
• Check out the example code in repo ( https://github.com/Palani-SN/LogExAn ) for reference

LogAn

• Generate a Output of type DataFrame from any Logical expression.
• Sample usage of the file is as given below (Refer Examples in the repo for detailed Usage)

from LogExAn.LogicalAnalyser import LogAn
import ast

ConditionsList = [
        " Var_new_1 > 5 ",
        " Var_new_1 < 5 ",

        " Var_new_1 == 5 ",
        " Var_new_1 != 5 ",

        " Var_new_1 >= 5 ",
        " Var_new_1 <= 5 "
];

ResultList = [
        True,
        False
]

for Cond in ConditionsList:

    for Res in ResultList:
        print()

        LA = LogAn(Cond, Res);
        DF_Out = LA.getDF()

        Range_List = ast.literal_eval(DF_Out.loc[0, 'Result'])['Var_new_1']
        Actual_List = [];
        for tup in Range_List:
            Actual_List += [*range(tup[0], tup[1])]

        print(f'Cond : {Cond}', '|' ,f'Res : {Res}');
        print()
        print(DF_Out.to_markdown())
        print()
        print(f"Actual list from DF_Out['Result'] {Actual_List}")

• The Output of the above code looks as follows

Cond :  Var_new_1 > 5  | Res : True

|    | Condition     | Result                   |
|---:|:--------------|:-------------------------|
|  0 | Var_new_1 > 5 | {'Var_new_1': [(6, 11)]} |

Actual list from DF_Out['Result'] [6, 7, 8, 9, 10]

Cond :  Var_new_1 > 5  | Res : False

|    | Condition     | Result                  |
|---:|:--------------|:------------------------|
|  0 | Var_new_1 > 5 | {'Var_new_1': [(0, 6)]} |

Actual list from DF_Out['Result'] [0, 1, 2, 3, 4, 5]

Cond :  Var_new_1 < 5  | Res : True

|    | Condition     | Result                  |
|---:|:--------------|:------------------------|
|  0 | Var_new_1 < 5 | {'Var_new_1': [(0, 5)]} |

Actual list from DF_Out['Result'] [0, 1, 2, 3, 4]

Cond :  Var_new_1 < 5  | Res : False

|    | Condition     | Result                   |
|---:|:--------------|:-------------------------|
|  0 | Var_new_1 < 5 | {'Var_new_1': [(5, 11)]} |

Actual list from DF_Out['Result'] [5, 6, 7, 8, 9, 10]

Cond :  Var_new_1 == 5  | Res : True

|    | Condition      | Result                  |
|---:|:---------------|:------------------------|
|  0 | Var_new_1 == 5 | {'Var_new_1': [(5, 6)]} |

Actual list from DF_Out['Result'] [5]

Cond :  Var_new_1 == 5  | Res : False

|    | Condition      | Result                           |
|---:|:---------------|:---------------------------------|
|  0 | Var_new_1 == 5 | {'Var_new_1': [(0, 5), (6, 11)]} |

Actual list from DF_Out['Result'] [0, 1, 2, 3, 4, 6, 7, 8, 9, 10]

Cond :  Var_new_1 != 5  | Res : True

|    | Condition      | Result                           |
|---:|:---------------|:---------------------------------|
|  0 | Var_new_1 != 5 | {'Var_new_1': [(0, 5), (6, 11)]} |

Actual list from DF_Out['Result'] [0, 1, 2, 3, 4, 6, 7, 8, 9, 10]

Cond :  Var_new_1 != 5  | Res : False

|    | Condition      | Result                  |
|---:|:---------------|:------------------------|
|  0 | Var_new_1 != 5 | {'Var_new_1': [(5, 6)]} |

Actual list from DF_Out['Result'] [5]

Cond :  Var_new_1 >= 5  | Res : True

|    | Condition      | Result                   |
|---:|:---------------|:-------------------------|
|  0 | Var_new_1 >= 5 | {'Var_new_1': [(5, 11)]} |

Actual list from DF_Out['Result'] [5, 6, 7, 8, 9, 10]

Cond :  Var_new_1 >= 5  | Res : False

|    | Condition      | Result                  |
|---:|:---------------|:------------------------|
|  0 | Var_new_1 >= 5 | {'Var_new_1': [(0, 5)]} |

Actual list from DF_Out['Result'] [0, 1, 2, 3, 4]

Cond :  Var_new_1 <= 5  | Res : True

|    | Condition      | Result                  |
|---:|:---------------|:------------------------|
|  0 | Var_new_1 <= 5 | {'Var_new_1': [(0, 6)]} |

Actual list from DF_Out['Result'] [0, 1, 2, 3, 4, 5]

Cond :  Var_new_1 <= 5  | Res : False

|    | Condition      | Result                   |
|---:|:---------------|:-------------------------|
|  0 | Var_new_1 <= 5 | {'Var_new_1': [(6, 11)]} |

Actual list from DF_Out['Result'] [6, 7, 8, 9, 10]

Logan (Advanced Example)

• The Solver can be able to solve complex logical expressions as well like the expression given below.

( 
    ( Var_new_8 >= 8 || Var_new_8 <= 1 || Var_new_1 >= 8 || Var_new_1 <= 1) 
    && 
    ( 
        ( Var_new_1 == 1 && Var_new_2 == 2 && Var_new_3 == 3 && Var_new_4 == 4 ) 
        && 
        ( Var_new_5 == 5 && Var_new_6 == 6 && Var_new_7 == 7 && Var_new_8 != 8 ) 
    ) 
)

• The Output of the above code looks as follows (for recursive condition the expansion of the conditions are done and the output value ranges is provided for each variable)

Result Expected : True

|    | Condition                                                                                                                                                              | Result                                                                                                                                                                                            |
|---:|:-----------------------------------------------------------------------------------------------------------------------------------------------------------------------|:--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|
|  0 | Var_new_8 >= 8 and Var_new_1 == 1 and Var_new_2 == 2 and Var_new_3 == 3 and Var_new_4 == 4 and Var_new_5 == 5 and Var_new_6 == 6 and Var_new_7 == 7 and Var_new_8 != 8 | {'Var_new_8': [(9, 14)], 'Var_new_1': [(1, 2)], 'Var_new_2': [(2, 3)], 'Var_new_3': [(3, 4)], 'Var_new_4': [(4, 5)], 'Var_new_5': [(5, 6)], 'Var_new_6': [(6, 7)], 'Var_new_7': [(7, 8)]}         |
|  1 | Var_new_8 <= 1 and Var_new_1 == 1 and Var_new_2 == 2 and Var_new_3 == 3 and Var_new_4 == 4 and Var_new_5 == 5 and Var_new_6 == 6 and Var_new_7 == 7 and Var_new_8 != 8 | {'Var_new_8': [(-4, 2)], 'Var_new_1': [(1, 2)], 'Var_new_2': [(2, 3)], 'Var_new_3': [(3, 4)], 'Var_new_4': [(4, 5)], 'Var_new_5': [(5, 6)], 'Var_new_6': [(6, 7)], 'Var_new_7': [(7, 8)]}         |
|  2 | Var_new_1 >= 8 and Var_new_1 == 1 and Var_new_2 == 2 and Var_new_3 == 3 and Var_new_4 == 4 and Var_new_5 == 5 and Var_new_6 == 6 and Var_new_7 == 7 and Var_new_8 != 8 | {'Var_new_1': [], 'Var_new_2': [(2, 3)], 'Var_new_3': [(3, 4)], 'Var_new_4': [(4, 5)], 'Var_new_5': [(5, 6)], 'Var_new_6': [(6, 7)], 'Var_new_7': [(7, 8)], 'Var_new_8': [(3, 8), (9, 14)]}       |
|  3 | Var_new_1 <= 1 and Var_new_1 == 1 and Var_new_2 == 2 and Var_new_3 == 3 and Var_new_4 == 4 and Var_new_5 == 5 and Var_new_6 == 6 and Var_new_7 == 7 and Var_new_8 != 8 | {'Var_new_1': [(1, 2)], 'Var_new_2': [(2, 3)], 'Var_new_3': [(3, 4)], 'Var_new_4': [(4, 5)], 'Var_new_5': [(5, 6)], 'Var_new_6': [(6, 7)], 'Var_new_7': [(7, 8)], 'Var_new_8': [(3, 8), (9, 14)]} |

Result Expected : False

|    | Condition                                                                                                                                                              | Result                                                                                                                                                                                                                                                    |
|---:|:-----------------------------------------------------------------------------------------------------------------------------------------------------------------------|:----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|
|  0 | Var_new_8 >= 8 and Var_new_1 == 1 and Var_new_2 == 2 and Var_new_3 == 3 and Var_new_4 == 4 and Var_new_5 == 5 and Var_new_6 == 6 and Var_new_7 == 7 and Var_new_8 != 8 | {'Var_new_8': [(3, 9)], 'Var_new_1': [(-4, 1), (2, 7)], 'Var_new_2': [(-3, 2), (3, 8)], 'Var_new_3': [(-2, 3), (4, 9)], 'Var_new_4': [(-1, 4), (5, 10)], 'Var_new_5': [(0, 5), (6, 11)], 'Var_new_6': [(1, 6), (7, 12)], 'Var_new_7': [(2, 7), (8, 13)]}  |
|  1 | Var_new_8 <= 1 and Var_new_1 == 1 and Var_new_2 == 2 and Var_new_3 == 3 and Var_new_4 == 4 and Var_new_5 == 5 and Var_new_6 == 6 and Var_new_7 == 7 and Var_new_8 != 8 | {'Var_new_8': [(2, 14)], 'Var_new_1': [(-4, 1), (2, 7)], 'Var_new_2': [(-3, 2), (3, 8)], 'Var_new_3': [(-2, 3), (4, 9)], 'Var_new_4': [(-1, 4), (5, 10)], 'Var_new_5': [(0, 5), (6, 11)], 'Var_new_6': [(1, 6), (7, 12)], 'Var_new_7': [(2, 7), (8, 13)]} |
|  2 | Var_new_1 >= 8 and Var_new_1 == 1 and Var_new_2 == 2 and Var_new_3 == 3 and Var_new_4 == 4 and Var_new_5 == 5 and Var_new_6 == 6 and Var_new_7 == 7 and Var_new_8 != 8 | {'Var_new_1': [(-4, 14)], 'Var_new_2': [(-3, 2), (3, 8)], 'Var_new_3': [(-2, 3), (4, 9)], 'Var_new_4': [(-1, 4), (5, 10)], 'Var_new_5': [(0, 5), (6, 11)], 'Var_new_6': [(1, 6), (7, 12)], 'Var_new_7': [(2, 7), (8, 13)], 'Var_new_8': [(8, 9)]}         |
|  3 | Var_new_1 <= 1 and Var_new_1 == 1 and Var_new_2 == 2 and Var_new_3 == 3 and Var_new_4 == 4 and Var_new_5 == 5 and Var_new_6 == 6 and Var_new_7 == 7 and Var_new_8 != 8 | {'Var_new_1': [(-4, 1), (2, 7)], 'Var_new_2': [(-3, 2), (3, 8)], 'Var_new_3': [(-2, 3), (4, 9)], 'Var_new_4': [(-1, 4), (5, 10)], 'Var_new_5': [(0, 5), (6, 11)], 'Var_new_6': [(1, 6), (7, 12)], 'Var_new_7': [(2, 7), (8, 13)], 'Var_new_8': [(8, 9)]}  |

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