


import numpy as np
import skfuzzy as fuzz

if __name__ == "__main__":
   # Create universe of discourse in Python using linspace ()
   lowerCamelCase__							:						List[str]							     =   np.linspace(start=0, stop=7_5, num=7_5, endpoint=True, retstep=False)

   # Create two fuzzy sets by defining any membership function
   # (trapmf(), gbellmf(), gaussmf(), etc).
   lowerCamelCase__							:						List[str]							     =   [0, 2_5, 5_0]
   lowerCamelCase__							:						Any							     =   [2_5, 5_0, 7_5]
   lowerCamelCase__							:						Optional[int]							     =   fuzz.membership.trimf(X, abca)
   lowerCamelCase__							:						Optional[Any]							     =   fuzz.membership.trimf(X, abca)

   # Compute the different operations using inbuilt functions.
   lowerCamelCase__							:						List[Any]							     =   np.ones(7_5)
   lowerCamelCase__							:						Dict							     =   np.zeros((7_5,))
   # 1. Union = max(µA(x), µB(x))
   lowerCamelCase__							:						List[Any]							     =   fuzz.fuzzy_or(X, young, X, middle_aged)[1]
   # 2. Intersection = min(µA(x), µB(x))
   lowerCamelCase__							:						int							     =   fuzz.fuzzy_and(X, young, X, middle_aged)[1]
   # 3. Complement (A) = (1- min(µA(x))
   lowerCamelCase__							:						Dict							     =   fuzz.fuzzy_not(young)
   # 4. Difference (A/B) = min(µA(x),(1- µB(x)))
   lowerCamelCase__							:						str							     =   fuzz.fuzzy_and(X, young, X, fuzz.fuzzy_not(middle_aged)[1])[1]
   # 5. Algebraic Sum = [µA(x) + µB(x) – (µA(x) * µB(x))]
   lowerCamelCase__							:						str							     =   young + middle_aged - (young * middle_aged)
   # 6. Algebraic Product = (µA(x) * µB(x))
   lowerCamelCase__							:						Union[str, Any]							     =   young * middle_aged
   # 7. Bounded Sum = min[1,(µA(x), µB(x))]
   lowerCamelCase__							:						List[Any]							     =   fuzz.fuzzy_and(X, one, X, young + middle_aged)[1]
   # 8. Bounded difference = min[0,(µA(x), µB(x))]
   lowerCamelCase__							:						Any							     =   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, 1_0)
   plt.plot(X, bdd_difference)
   plt.title("""bdd_difference""")
   plt.grid(True)

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






__snake_case     :Any			       =256
# Modulus to hash a string
__snake_case     :Optional[int]			       =1000003






def  lowerCamelCase_	(      lowerCAmelCase__	:	str			,	lowerCAmelCase__	:	str				)       ->							bool:

							'''simple docstring'''






							A      						=    len(lowerCAmelCase__				)
							A      						=    len(lowerCAmelCase__				)
							if p_len > t_len:
														return False

							A      						=    0
							A      						=    0
							A      						=    1

							# Calculating the hash of pattern and substring of text
							for i in range(lowerCAmelCase__				):
														A      						=    (ord(pattern[i]				) + p_hash * alphabet_size) % modulus
														A      						=    (ord(text[i]				) + text_hash * alphabet_size) % modulus
														if i == p_len - 1:
																					continue
														A      						=    (modulus_power * alphabet_size) % modulus

							for i in range(0			,	t_len - p_len + 1				):
														if text_hash == p_hash and text[i : i + p_len] == pattern:
																					return True
														if i == t_len - p_len:
																					continue
														# Calculate the https://en.wikipedia.org/wiki/Rolling_hash
														A      						=    (
														    (text_hash - ord(text[i]				) * modulus_power) * alphabet_size
														    + ord(text[i + p_len]				)
														) % modulus
							return False






def  lowerCamelCase_	(      )       ->							None:

							'''simple docstring'''






							A      						=    'abc1abc12'
							A      						=    'alskfjaldsabc1abc1abc12k23adsfabcabc'
							A      						=    'alskfjaldsk23adsfabcabc'
							assert rabin_karp(lowerCAmelCase__			,	lowerCAmelCase__				) and not rabin_karp(lowerCAmelCase__			,	lowerCAmelCase__				)

							# Test 2)
							A      						=    'ABABX'
							A      						=    'ABABZABABYABABX'
							assert rabin_karp(lowerCAmelCase__			,	lowerCAmelCase__				)

							# Test 3)
							A      						=    'AAAB'
							A      						=    'ABAAAAAB'
							assert rabin_karp(lowerCAmelCase__			,	lowerCAmelCase__				)

							# Test 4)
							A      						=    'abcdabcy'
							A      						=    'abcxabcdabxabcdabcdabcy'
							assert rabin_karp(lowerCAmelCase__			,	lowerCAmelCase__				)

							# Test 5)
							A      						=    'Lü'
							A      						=    'Lüsai'
							assert rabin_karp(lowerCAmelCase__			,	lowerCAmelCase__				)
							A      						=    'Lue'
							assert not rabin_karp(lowerCAmelCase__			,	lowerCAmelCase__				)
							print('Success.'				)


if __name__ == "__main__":
				test_rabin_karp()