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  1. #!/usr/bin/env python
  2. from math import isnan, copysign, isinf, fabs, frexp, floor
  3.  
  4. NEGATIVE_INFINITY = 0b11111000
  5. POSITIVE_INFINITY = 0b01111000
  6.  
  7. def binary8(f):
  8.     """1152.0 -> 0b0_1000_001"""
  9.     # https://e...content-available-to-author-only...a.org/wiki/Minifloat#Example
  10.     if isnan(f):
  11.         return 0b11111111  # example nan
  12.  
  13.     negative = copysign(1, f) < 0
  14.     if isinf(f):
  15.         return NEGATIVE_INFINITY if negative else POSITIVE_INFINITY
  16.  
  17.     #           1bit        4bits        3bits
  18.     # f = (-1)**sign * 2**(e8 - -2) * (1 + f8 / 2**3)
  19.     # f = (m * 2)    * 2**(e - 1)
  20.     m, e = frexp(fabs(f))  # 0.5 <= m < 1
  21.     m *= 2
  22.     e -= 1
  23.     assert not (isnan(m) or isinf(m))
  24.  
  25.     e8 = e - 2
  26.     if e8 <= 0:  # subnormal
  27.         f8 = floor(fabs(f))
  28.         e8 = 0
  29.     elif e8 >= 0b1111:  # infinite
  30.         return NEGATIVE_INFINITY if negative else POSITIVE_INFINITY
  31.     else:  # normalized value
  32.         assert 0b0001 <= e8 < 0b1111, (f, sign, e8, f8)
  33.         f8 = floor((m - 1) * 2**3)
  34.         assert 0 <= f8 < 2**3
  35.     return (negative << 7) | (e8 << 3) | f8
  36.  
  37. print("{:08b}".format(binary8(float(input()))))
  38.  
Success #stdin #stdout 0.02s 27648KB
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https://ideone.com/VPoB64
language:
Python 3 (python  3.9.5)
created:
6 years ago
visibility:
public

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