Created
August 11, 2020 04:40
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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 len(ns, p) | |
l = ns.split(p) | |
l = [] if (l.nil?) | |
l.shift if (l[0] == '') | |
return l.map { |x| x.length } | |
end | |
def len1(ns) | |
return len(ns, /0+/) | |
end | |
def len0(ns) | |
return len(ns, /1+/) | |
end | |
def len01(ns) | |
return len1(ns), len0(ns) | |
end | |
def hist(l) | |
a = {} | |
l.each { |x| a[x] = a.fetch(x, 0) + 1 } | |
return a | |
end | |
def hdiff(h1, h2) | |
d = 0 | |
(h1.keys | h2.keys).each { |x| d += (h1.fetch(x, 0) - h2.fetch(x, 0)).abs } | |
return d | |
end | |
def h2(ns) | |
l1, l0 = len01(ns) | |
return hist(l0), hist(l1) | |
end | |
def hdiff2(h2a, h2b) | |
return hdiff(h2a[0], h2b[0]) + hdiff(h2a[1], h2b[1]) | |
end | |
def hdiff1(ns, i) | |
h2a = h2(ns) | |
t = c = 0 | |
h1 = nil | |
loop \ | |
{ | |
ns2 = dense(ns.length, 0.5) | |
h2b = h2(ns2) | |
d = hdiff2(h2a, h2b) | |
t += d | |
c += 1 | |
h = t.to_f / c | |
e = h1.nil? ? nil : (h - h1) / h | |
puts([c, h, i].join("\t")) | |
h1 = h | |
break if (c == 20) | |
} | |
puts | |
end | |
50.times \ | |
{ | |
|i| | |
hdiff1(dense(100 + 10 * i, 0.5), i) | |
} | |
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