89 lines
2.5 KiB
Python
89 lines
2.5 KiB
Python
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from math import fabs as fabs
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from math import sqrt as sqrt
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from scipy.special import erfc as erfc
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class StartUPTest:
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@staticmethod
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def monobit_test(binary_data: str):
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length_of_bit_string = len(binary_data)
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# Variable for S(n)
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count = 0
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# Iterate each bit in the string and compute for S(n)
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for bit in binary_data:
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if bit == 48:
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# If bit is 0, then -1 from the S(n)
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count -= 1
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elif bit == 49:
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# If bit is 1, then +1 to the S(n)
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count += 1
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# Compute the test statistic
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sObs = count / sqrt(length_of_bit_string)
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# Compute p-Value
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p_value = erfc(fabs(sObs) / sqrt(2))
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# return a p_value and randomness result
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return (p_value, (p_value >= 0.01))
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@staticmethod
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def test5(binary_data: str):
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ShiftFeld = [0] * 5000
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MaxKorrFeld = [0] * 5000
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# Fill BitFeldB with data
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for tau in range(1, 5001):
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Z_tau = 0
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for i in range(5000):
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Z_tau += binary_data[i] ^ binary_data[i + tau]
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ShiftFeld[tau - 1] = Z_tau
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#Debugging
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#for i in range(5000):
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# print(ShiftFeld[i], end=' ')
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# Find the index of the maximum deviation from 2500
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max_deviation = 0
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for tau in range(5000):
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deviation = abs(ShiftFeld[tau] - 2500)
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if deviation > max_deviation:
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max_deviation = deviation
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# Find all indices with the maximum deviation
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j = 0
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for tau in range(5000):
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deviation = abs(ShiftFeld[tau] - 2500)
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if deviation == max_deviation:
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MaxKorrFeld[j] = tau
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j += 1
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print("Maximale Z_tau-Abweichung von 2500:", max_deviation)
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print("Aufgetreten für Shifts:")
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for k in range(j):
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print("Shift:", MaxKorrFeld[k] + 1)
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tau = MaxKorrFeld[0]
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Z_tau = 0
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for i in range(10000, 15000):
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Z_tau += StartUPTest.charToInt(i, binary_data) ^ StartUPTest.charToInt(i + tau + 1, binary_data)
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tau += 1
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ok = Z_tau > 2326 and Z_tau < 2674
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return (Z_tau, ok)
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@staticmethod
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def charToInt(index, binary_data: str):
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value = 0
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if binary_data[index] == 49:
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value = 1
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else:
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value = 0
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return value
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