





'''simple docstring'''

import numpy as np
import skfuzzy as fuzz

if __name__ == "__main__":
  # Create universe of discourse in Python using linspace ()
  lowercase__						:      List[str]	=    np.linspace(start=0, stop=75, num=75, endpoint=True, retstep=False)

  # Create two fuzzy sets by defining any membership function
  # (trapmf(), gbellmf(), gaussmf(), etc).
  lowercase__						:      List[str]	=    [0, 25, 50]
  lowercase__						:      int	=    [25, 50, 75]
  lowercase__						:      Any	=    fuzz.membership.trimf(X, abca)
  lowercase__						:      Tuple	=    fuzz.membership.trimf(X, abca)

  # Compute the different operations using inbuilt functions.
  lowercase__						:      str	=    np.ones(75)
  lowercase__						:      Union[str, Any]	=    np.zeros((75,))
  # 1. Union = max(µA(x), µB(x))
  lowercase__						:      str	=    fuzz.fuzzy_or(X, young, X, middle_aged)[1]
  # 2. Intersection = min(µA(x), µB(x))
  lowercase__						:      List[Any]	=    fuzz.fuzzy_and(X, young, X, middle_aged)[1]
  # 3. Complement (A) = (1- min(µA(x))
  lowercase__						:      str	=    fuzz.fuzzy_not(young)
  # 4. Difference (A/B) = min(µA(x),(1- µB(x)))
  lowercase__						:      Union[str, Any]	=    fuzz.fuzzy_and(X, young, X, fuzz.fuzzy_not(middle_aged)[1])[1]
  # 5. Algebraic Sum = [µA(x) + µB(x) – (µA(x) * µB(x))]
  lowercase__						:      Optional[Any]	=    young + middle_aged - (young * middle_aged)
  # 6. Algebraic Product = (µA(x) * µB(x))
  lowercase__						:      List[Any]	=    young * middle_aged
  # 7. Bounded Sum = min[1,(µA(x), µB(x))]
  lowercase__						:      int	=    fuzz.fuzzy_and(X, one, X, young + middle_aged)[1]
  # 8. Bounded difference = min[0,(µA(x), µB(x))]
  lowercase__						:      int	=    fuzz.fuzzy_or(X, zero, X, young - middle_aged)[1]

  # max-min composition
  # max-product composition

  # Plot each set A, set B and each operation result using plot() and subplot().
  from matplotlib import pyplot as plt

  plt.figure()

  plt.subplot(4, 3, 1)
  plt.plot(X, young)
  plt.title('Young')
  plt.grid(True)

  plt.subplot(4, 3, 2)
  plt.plot(X, middle_aged)
  plt.title('Middle aged')
  plt.grid(True)

  plt.subplot(4, 3, 3)
  plt.plot(X, union)
  plt.title('union')
  plt.grid(True)

  plt.subplot(4, 3, 4)
  plt.plot(X, intersection)
  plt.title('intersection')
  plt.grid(True)

  plt.subplot(4, 3, 5)
  plt.plot(X, complement_a)
  plt.title('complement_a')
  plt.grid(True)

  plt.subplot(4, 3, 6)
  plt.plot(X, difference)
  plt.title('difference a/b')
  plt.grid(True)

  plt.subplot(4, 3, 7)
  plt.plot(X, alg_sum)
  plt.title('alg_sum')
  plt.grid(True)

  plt.subplot(4, 3, 8)
  plt.plot(X, alg_product)
  plt.title('alg_product')
  plt.grid(True)

  plt.subplot(4, 3, 9)
  plt.plot(X, bdd_sum)
  plt.title('bdd_sum')
  plt.grid(True)

  plt.subplot(4, 3, 10)
  plt.plot(X, bdd_difference)
  plt.title('bdd_difference')
  plt.grid(True)

  plt.subplots_adjust(hspace=0.5)
  plt.show()










'''simple docstring'''

import unittest

from transformers.utils.backbone_utils import (
    BackboneMixin,
    get_aligned_output_features_output_indices,
    verify_out_features_out_indices,
)
class     __lowerCAmelCase					(   unittest.TestCase			):






       """simple docstring"""





       def snake_case__						(							self       :		Optional[Any]					)   ->					List[str]:

            '''simple docstring'''




            _UpperCamelCase       =	['''a''', '''b''', '''c''']

            # Defaults to last layer if both are None
            _UpperCamelCase   ,    _UpperCamelCase       =	get_aligned_output_features_output_indices(lowerCAmelCase__	,			lowerCAmelCase__	,			lowerCAmelCase__					)
            self.assertEqual(lowerCAmelCase__	,			['''c''']					)
            self.assertEqual(lowerCAmelCase__	,			[2]					)

            # Out indices set to match out features
            _UpperCamelCase   ,    _UpperCamelCase       =	get_aligned_output_features_output_indices(['''a''', '''c''']	,			lowerCAmelCase__	,			lowerCAmelCase__					)
            self.assertEqual(lowerCAmelCase__	,			['''a''', '''c''']					)
            self.assertEqual(lowerCAmelCase__	,			[0, 2]					)

            # Out features set to match out indices
            _UpperCamelCase   ,    _UpperCamelCase       =	get_aligned_output_features_output_indices(lowerCAmelCase__	,			[0, 2]	,			lowerCAmelCase__					)
            self.assertEqual(lowerCAmelCase__	,			['''a''', '''c''']					)
            self.assertEqual(lowerCAmelCase__	,			[0, 2]					)

            # Out features selected from negative indices
            _UpperCamelCase   ,    _UpperCamelCase       =	get_aligned_output_features_output_indices(lowerCAmelCase__	,			[-3, -1]	,			lowerCAmelCase__					)
            self.assertEqual(lowerCAmelCase__	,			['''a''', '''c''']					)
            self.assertEqual(lowerCAmelCase__	,			[-3, -1]					)





       def snake_case__						(							self       :		Any					)   ->					Union[str, Any]:

            '''simple docstring'''




            with self.assertRaises(lowerCAmelCase__					):
                 verify_out_features_out_indices(['''a''', '''b''']	,			(0, 1)	,			lowerCAmelCase__					)

            # Out features must be a list
            with self.assertRaises(lowerCAmelCase__					):
                 verify_out_features_out_indices(('''a''', '''b''')	,			(0, 1)	,			['''a''', '''b''']					)

            # Out features must be a subset of stage names
            with self.assertRaises(lowerCAmelCase__					):
                 verify_out_features_out_indices(['''a''', '''b''']	,			(0, 1)	,			['''a''']					)

            # Out indices must be a list or tuple
            with self.assertRaises(lowerCAmelCase__					):
                 verify_out_features_out_indices(lowerCAmelCase__	,			0	,			['''a''', '''b''']					)

            # Out indices must be a subset of stage names
            with self.assertRaises(lowerCAmelCase__					):
                 verify_out_features_out_indices(lowerCAmelCase__	,			(0, 1)	,			['''a''']					)

            # Out features and out indices must be the same length
            with self.assertRaises(lowerCAmelCase__					):
                 verify_out_features_out_indices(['''a''', '''b''']	,			(0,)	,			['''a''', '''b''', '''c''']					)

            # Out features should match out indices
            with self.assertRaises(lowerCAmelCase__					):
                 verify_out_features_out_indices(['''a''', '''b''']	,			(0, 2)	,			['''a''', '''b''', '''c''']					)

            # Out features and out indices should be in order
            with self.assertRaises(lowerCAmelCase__					):
                 verify_out_features_out_indices(['''b''', '''a''']	,			(0, 1)	,			['''a''', '''b''']					)

            # Check passes with valid inputs
            verify_out_features_out_indices(['''a''', '''b''', '''d''']	,			(0, 1, -1)	,			['''a''', '''b''', '''c''', '''d''']					)







       def snake_case__						(							self       :		Any					)   ->					str:

            '''simple docstring'''




            _UpperCamelCase       =	BackboneMixin()

            _UpperCamelCase       =	['''a''', '''b''', '''c''']
            _UpperCamelCase       =	['''a''', '''c''']
            _UpperCamelCase       =	[0, 2]

            # Check that the output features and indices are set correctly
            self.assertEqual(backbone.out_features	,			['''a''', '''c''']					)
            self.assertEqual(backbone.out_indices	,			[0, 2]					)

            # Check out features and indices are updated correctly
            _UpperCamelCase       =	['''a''', '''b''']
            self.assertEqual(backbone.out_features	,			['''a''', '''b''']					)
            self.assertEqual(backbone.out_indices	,			[0, 1]					)

            _UpperCamelCase       =	[-3, -1]
            self.assertEqual(backbone.out_features	,			['''a''', '''c''']					)
            self.assertEqual(backbone.out_indices	,			[-3, -1]					)



