36 lines
814 B
Python
36 lines
814 B
Python
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def eps(base, n): # n = Anzahl Stellen der Mantisse
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return 0.5 * (base ** (1-n))
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def bitsMantiss(base):
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last_x = 0
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x = 1.5
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n = 0
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while x > 1:
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last_x = x
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x = x - (x - 1) / base
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n = n + 1
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return n, last_x
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def largestNumber(bitsMantiss):
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x = 0.0
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for i in range(bitsMantiss):
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x = x + 2 ** i
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return x
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def largestNumber_eps(eps, n):
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return eps * 2**(2*n) - 1
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bitsMan = bitsMantiss(2)
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epsVal = eps(2, bitsMan[0])
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largest = largestNumber(bitsMan[0])
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largest_eps = largestNumber_eps(epsVal, bitsMan[0])
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print(f'eps: {epsVal}')
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print(f'Bits Mantiss: {bitsMan[0]}')
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print(f'Smallest Number 1 + eps > 1: {bitsMan[1]}')
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print(f'largest Number 1 + qmax > qmax: {largest}')
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print(f'largest Number 1 + qmax > qmax (calculated by eps: {largest_eps}') |