Created
December 29, 2020 03:41
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def f2(n) | |
return n.odd? ? (n * 3 + 1) / 2 : n / 2 | |
end | |
def adj(x, m, n, s2, p2, p, x3) | |
s2.replace(p[0...x] + (x3 % 2).to_s) | |
m = (s2[x, 1] == p[x, 1]) | |
n = p2.reverse.to_i(2) | |
p2[x, 1] = m ? '11' : '01' | |
return m, n, x3 | |
end | |
def terras121(p) | |
p2 = ['01', '11'][p[0, 1].to_i] | |
n = 1 | |
n3 = 0 | |
m = p2 == '11' | |
x3 = (p2.reverse.to_i(2)) >> 1 | |
(1...p.length).each \ | |
{ | |
|x| | |
if (!m) | |
ns = n.to_s(2) | |
ns[0, 1] = '' | |
m1 = x3 - 3**n3 | |
n1 = f2(m1) | |
end | |
n3 = p[0...x].split('').select { |z| z == '1' }.size | |
s2 = '' | |
m, n, x3 = adj(x, m, n, s2, p2, p, m ? (f2(x3) + 3**n3) : (n1 + 3**n3)) | |
} | |
n = p2.reverse.to_i(2) | |
return n | |
end | |
def seq(n) | |
l = [n] | |
while (n != 1) | |
n = f2(n) | |
l << n | |
end | |
return l | |
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 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 e(ns) | |
return len01(ns).flatten.size.to_f / ns.length | |
end | |
def d(s) | |
c = s.split('').select { |x| x == '1' }.size | |
d = c.to_f / s.length | |
return d | |
end | |
def sum(l) | |
return l.inject { |t, x| t + x } | |
end | |
def avg(l) | |
return l.empty? ? 0 : sum(l).to_f / l.size | |
end | |
def add(a, x) | |
a.replace({'x' => 0.0, 'x2' => 0.0, 'k' => x, 'n' => 0}) if (a.empty?) | |
a['x'] += x - a['k'] | |
a['x2'] += (x - a['k']) ** 2 | |
a['n'] += 1 | |
end | |
def meanvar(a, k = '') | |
{"a#{k}" => a['k'] + a['x'] / a['n'], | |
"sd#{k}" => (a['x2'] - a['x'] ** 2 / a['n']) / (a['n'] - 1)} | |
end | |
def out(a) | |
if ($x.nil?) then | |
$x = true | |
puts(a.keys.join("\t")) | |
else | |
puts(a.values.join("\t")) | |
end | |
$stdout.flush | |
end | |
e1 = {} | |
e2 = {} | |
t = 0 | |
loop \ | |
{ | |
p = dense(500, 0.64) | |
n1 = terras121(p) | |
ns = dense(500, 0.5) | |
add(e1, e(n1.to_s(2))) | |
add(e2, e(ns)) | |
t += 1 | |
out(meanvar(e1, 1).merge(meanvar(e2, 2))) | |
$stdout.flush | |
} | |
# plot 'out.txt' using (column('a1')):(column('sd1')) with errorbar,'' using (column('a2')):(column('sd2')) with errorbar | |
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