Created
October 28, 2019 04:39
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def f2(n) | |
return n.odd? ? (n * 3 + 1) / 2 : n / 2 | |
end | |
def dense(w, d) | |
w2 = w - 1 | |
a = (0...w2).to_a | |
s = '0' * w2 | |
(1..(d * w - 1)).map { a.delete_at(rand(a.size)) }.each { |x| s[x, 1] = '1' } | |
return ('1' + s) | |
end | |
def seq(n) | |
n1 = n | |
l = [] | |
begin | |
l << n | |
n = f2(n) | |
end while (n != 1) | |
return l | |
end | |
def stat(l) | |
return 0, 0, 0 if (l.empty?) | |
t = l.inject { |a, x| a + x } | |
t2 = l.inject { |a, x| a + x ** 2 } | |
c = l.size | |
a = t.to_f / c | |
z = t2.to_f / c - a ** 2 | |
sd = Math.sqrt(z < 0 ? 0 : z) | |
raise if (sd.nan?) | |
return a, sd, l.max | |
end | |
def stat2(l, n) | |
return Hash[[["a#{n}", "sd#{n}", "mx#{n}"], stat(l)].transpose] | |
end | |
def lenx(ns, p) | |
l = ns.split(p) | |
l = [] if (l.nil?) | |
l.shift if (l[0] == '') | |
return l.map { |x| x.length } | |
end | |
def len01x(ns) | |
return lenx(ns, /0+/), lenx(ns, /1+/) | |
end | |
def avg(l) | |
l.inject { |t, x| t + x }.to_f / l.size | |
end | |
def stats(x) | |
l1, l0 = len01x(x.to_s(2)) | |
return stat2(l1, '1').merge(stat2(l0, '0')) | |
end | |
def stat1(l) | |
a, sd, mx = stat(l) | |
return {'a' => a, 'sd' => sd, 'mx' => mx} | |
end | |
def avg1(l) | |
a = {} | |
l[0].keys.each \ | |
{ | |
|k| | |
a[k] = stat1(l.map { |x| x[k] }) | |
} | |
return a | |
end | |
c = 500 | |
l2 = [] | |
c.times \ | |
{ | |
n = (ns = dense(200, 0.5)).to_i(2) | |
l = seq(n) | |
l1 = l.map { |x| x.to_s(2) } | |
i = l1.index { |x| x.length == 100 } | |
l2 << stats(l[i]) | |
} | |
a1 = avg1(l2) | |
l2 = [] | |
c.times \ | |
{ | |
l2 << stats(dense(100, 0.5).to_i(2)) | |
} | |
a2 = avg1(l2) | |
a1.keys.each \ | |
{ | |
|k| | |
p(k) | |
p(a1[k]) | |
p(a2[k]) | |
} | |
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