#(2^((2^(w-1))-1))*(2-(2^-t))
#(2^((2^(115-1))-1))*(2-(2^-4294967180))
from decimal import *
getcontext().prec = 100
from decimal import localcontext
with localcontext() as ctx:
print(ctx.Emax) # デフォルトの指数上限は999999なので、今回の計算だと足りない
ctx.Emax = 10**10**5 # 指数上限を増やす
#指数部
w = 115
#仮数部
t = 4294967180
a = ctx.power(2,(w - 1))
b = ctx.power(2,(a - 1))
print(b)
c = t * -1
d = ctx.power(2,c)
print(d)
e = (b * 2 - b * d)
#最大値
print(e)
#必要に応じて有効桁を調整する
format_str = "{:.1e}".format(e)
print(format_str)
f = e.log10()
#桁数-1
print(f)
g = f.log10()
#桁数の桁数-1
print(g)
h = ctx.power(2,t)
i = h.log10()
#有効桁数
print(i)
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