Updated doctests for nor_gate (#10791)

* added other possible cases

* added test for correct output of truth table

* updating DIRECTORY.md

* Update nor_gate.py

---------

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@ -541,7 +541,7 @@
* [Dimensionality Reduction](machine_learning/dimensionality_reduction.py)
* Forecasting
* [Run](machine_learning/forecasting/run.py)
* [Frequent Pattern Growth Algorithm](machine_learning/frequent_pattern_growth.py)
* [Frequent Pattern Growth](machine_learning/frequent_pattern_growth.py)
* [Gradient Descent](machine_learning/gradient_descent.py)
* [K Means Clust](machine_learning/k_means_clust.py)
* [K Nearest Neighbours](machine_learning/k_nearest_neighbours.py)
@ -649,6 +649,7 @@
* [Numerical Integration](maths/numerical_integration.py)
* [Odd Sieve](maths/odd_sieve.py)
* [Perfect Cube](maths/perfect_cube.py)
* [Perfect Number](maths/perfect_number.py)
* [Perfect Square](maths/perfect_square.py)
* [Persistence](maths/persistence.py)
* [Pi Generator](maths/pi_generator.py)
@ -767,7 +768,6 @@
* [Swish](neural_network/activation_functions/swish.py)
* [Back Propagation Neural Network](neural_network/back_propagation_neural_network.py)
* [Convolution Neural Network](neural_network/convolution_neural_network.py)
* [Perceptron](neural_network/perceptron.py)
* [Simple Neural Network](neural_network/simple_neural_network.py)
## Other
@ -803,8 +803,10 @@
* [Archimedes Principle Of Buoyant Force](physics/archimedes_principle_of_buoyant_force.py)
* [Basic Orbital Capture](physics/basic_orbital_capture.py)
* [Casimir Effect](physics/casimir_effect.py)
* [Center Of Mass](physics/center_of_mass.py)
* [Centripetal Force](physics/centripetal_force.py)
* [Coulombs Law](physics/coulombs_law.py)
* [Doppler Frequency](physics/doppler_frequency.py)
* [Grahams Law](physics/grahams_law.py)
* [Horizontal Projectile Motion](physics/horizontal_projectile_motion.py)
* [Hubble Parameter](physics/hubble_parameter.py)

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"""
A NOR Gate is a logic gate in boolean algebra which results to false(0)
if any of the input is 1, and True(1) if both the inputs are 0.
A NOR Gate is a logic gate in boolean algebra which results in false(0) if any of the
inputs is 1, and True(1) if all inputs are 0.
Following is the truth table of a NOR Gate:
| Input 1 | Input 2 | Output |
| 0 | 0 | 1 |
| 0 | 1 | 0 |
| 1 | 0 | 0 |
| 1 | 1 | 0 |
Truth Table of NOR Gate:
| Input 1 | Input 2 | Output |
| 0 | 0 | 1 |
| 0 | 1 | 0 |
| 1 | 0 | 0 |
| 1 | 1 | 0 |
Following is the code implementation of the NOR Gate
Code provided by Akshaj Vishwanathan
https://www.geeksforgeeks.org/logic-gates-in-python
"""
from collections.abc import Callable
def nor_gate(input_1: int, input_2: int) -> int:
@ -30,19 +33,35 @@ def nor_gate(input_1: int, input_2: int) -> int:
return int(input_1 == input_2 == 0)
def main() -> None:
print("Truth Table of NOR Gate:")
print("| Input 1 | Input 2 | Output |")
print(f"| 0 | 0 | {nor_gate(0, 0)} |")
print(f"| 0 | 1 | {nor_gate(0, 1)} |")
print(f"| 1 | 0 | {nor_gate(1, 0)} |")
print(f"| 1 | 1 | {nor_gate(1, 1)} |")
def truth_table(func: Callable) -> str:
"""
>>> print(truth_table(nor_gate))
Truth Table of NOR Gate:
| Input 1 | Input 2 | Output |
| 0 | 0 | 1 |
| 0 | 1 | 0 |
| 1 | 0 | 0 |
| 1 | 1 | 0 |
"""
def make_table_row(items: list | tuple) -> str:
"""
>>> make_table_row(("One", "Two", "Three"))
'| One | Two | Three |'
"""
return f"| {' | '.join(f'{item:^8}' for item in items)} |"
return "\n".join(
(
"Truth Table of NOR Gate:",
make_table_row(("Input 1", "Input 2", "Output")),
*[make_table_row((i, j, func(i, j))) for i in (0, 1) for j in (0, 1)],
)
)
if __name__ == "__main__":
import doctest
doctest.testmod()
main()
"""Code provided by Akshaj Vishwanathan"""
"""Reference: https://www.geeksforgeeks.org/logic-gates-in-python/"""
print(truth_table(nor_gate))