Created
August 8, 2019 00:53
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def f2(n) | |
return n.odd? ? (n * 3 + 1) / 2 : n / 2 | |
end | |
def d(s) | |
c = s.split('').select { |x| x == '1' }.size | |
d = c.to_f / s.length | |
return d | |
end | |
def keys(ks2) | |
ksmn = ks2.select { |x| x.end_with?('-') } | |
ksmx = ks2 - ksmn | |
ksmn.each { |x| x.replace(x.chop) } | |
x = {'ks' => ksmn + ksmx, 'ksmx' => ksmx, 'ksmn' => ksmn} | |
$stderr.puts(x.inspect) | |
return x | |
end | |
def order(l, ks2) | |
l2 = (0...l.size).map { {} } | |
$k = keys(ks2) if ($k.nil?) | |
$k['ks'].each \ | |
{ | |
|k| | |
l1 = (0...l.size).map { |x| {k => l[x][k], 'i' => x} } | |
s = $k['ksmx'].member?(k) ? -1 : 1 | |
l1.sort_by! { |x| s * x[k] } | |
(0...l1.size).each { |x| l2[l1[x]['i']][k] = x } | |
} | |
l2.each { |x| x['z'] = x.values.inject(0) { |t, x| t + x } } | |
return (0...l2.size).sort_by { |x| l2[x]['z'] } | |
end | |
def out(a, a2 = {}, t = nil, ct = "(column('t')):") | |
fn = $fn.nil? ? 'out.txt' : $fn | |
k = a.keys | |
if ($f1.nil?) then | |
$f1 = File.open(fn, 'w') | |
$f1.puts(k.join("\t")) | |
f2 = File.open('gnuplot.cmd', 'w') | |
st = t.nil? ? 'unset title; ' : "set title '#{t}'; " | |
f2.puts("set ytics nomirror; set y2tics; set colors classic; set key top left box opaque; #{st}; plot \\") | |
(a.keys - ['t']).each \ | |
{ | |
|x| | |
next if (a2.member?(x) && a2[x].nil?) | |
m = a2.fetch(x, '') | |
m += ' with line' if (!m.include?('with')) | |
f2.puts("'#{fn}' using #{ct}(column('#{x}')) title '#{x}' #{m}, \\") | |
} | |
f2.puts | |
f2.close | |
end | |
$f1.puts(a.values_at(*k).join("\t")) | |
$f1.flush | |
end | |
def remove(a, ks) | |
a = a.dup | |
ks.each { |x| a.delete(x) } | |
return a | |
end | |
def seq(n) | |
n1 = n | |
l = [] | |
begin | |
l << n | |
n = f2(n) | |
end while (n != 1) | |
return l | |
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 mx01x(ns) | |
l1, l0 = len01x(ns) | |
return (l1 + l0).max | |
end | |
def mx(l2) | |
return l2.empty? ? 0 : l2.map { |x| len01x(x.to_s(2)) }.flatten.max | |
end | |
def count(ns) | |
nw = ns.length | |
l = seq(ns.to_i(2)) | |
cm1 = (0...l.size).max_by { |x| l[x] } | |
cg = l.index { |x| x < l[0] } | |
cg = l.size if (cg.nil?) | |
cm = (0...cg).max_by { |x| l[x] } | |
c = l.size | |
mxl = mx(l[0..cm]) | |
mxr = mx(l[cm..cg]) | |
return { | |
'nw' => nw, | |
'cm' => cm, | |
'cm1' => cm1, | |
'cg' => cg, | |
'c' => c, | |
'mxl' => mxl, | |
'mxr' => mxr, | |
'mxrl' => mxr - mxl, | |
'l' => l, | |
'ns' => ns, | |
'n' => ns.to_i(2) | |
} | |
end | |
def fmt(x) | |
return remove(x, ['l']) | |
end | |
def axes2(x2) | |
return x2.inject({}) { |h, x| h.merge({x => 'axes x1y2' }) } | |
end | |
def add(l, ns, x2) | |
$t = 0 if ($t.nil?) | |
$t += 1 | |
x = count(ns).merge({'t' => $t}) | |
l << x | |
x = fmt(x) | |
out(remove(x, ['ns']), x2) if ($t % $d == 0) | |
$stderr.puts(x.inspect) if ($t % 200 == 0) | |
end | |
def adj(ns) | |
ns1 = ns.dup | |
ns1[0, 1] = '10' | |
ns2 = ns.dup | |
ns2[0, 1] = '11' | |
return ns1, ns2 | |
end | |
def opt(ks, c, x2) | |
$d = c / 2000 | |
add(l = [], '1', x2) | |
(c / 2).times \ | |
{ | |
l1 = order(l, ks) | |
i = l1[rand([l1.size, 50].min)] | |
x = l.delete_at(i) | |
ns1, ns2 = adj(x['ns']) | |
add(l, ns1, x2) | |
add(l, ns2, x2) | |
} | |
return l[order(l, ks)[0]] | |
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 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, m) | |
return Hash[[["#{m}a#{n}", "#{m}sd#{n}", "#{m}mx#{n}"], stat(l)].transpose] | |
end | |
def stat3(x, t) | |
l1, l0 = len01x(x) | |
return stat2(l1, "1", t).merge(stat2(l0, "0", t)) | |
end | |
def hist(l) | |
h = {} | |
l.each \ | |
{ | |
|x| | |
h[x] = h.fetch(x, 0) + 1 | |
} | |
return h | |
end | |
def dissect(x) | |
l1, l0 = len01x(x) | |
return hist(l1), hist(l0) | |
end | |
def graph(ll, lr, f) | |
a = {} | |
(ll.keys + lr.keys).sort.each \ | |
{ | |
|x| | |
a[x] = lr.fetch(x, 0) - ll.fetch(x, 0) | |
} | |
$c = 0 if ($c.nil?) | |
a.sort.each \ | |
{ | |
|x| | |
f.puts([x, $c].join("\t")) | |
} | |
f.puts | |
$c += 1 | |
end | |
def review() | |
l = File.open('out.txt').readlines | |
c = l[0].split.index('n') | |
l2 = l[1..-1].map { |ln| ln.split[c].to_i } | |
f0 = File.open('out0.txt', 'w') | |
f1 = File.open('out1.txt', 'w') | |
l2[-50..-1].each \ | |
{ | |
|x| | |
l = seq(x) | |
cm1 = (0...l.size).max_by { |x| l[x] } | |
cg = l.index { |x| x < l[0] } | |
cg = l.size if (cg.nil?) | |
cm = (0...cg).max_by { |x| l[x] } | |
l2 = l.map { |x| x.to_s(2) } | |
w = [cm, cg - cm].min | |
$stderr.puts([cm, cg, w].inspect) | |
ll = l2[0..w].join | |
lr = l2[cm..(cm + w)].join | |
ll1, ll0 = dissect(ll) | |
lr1, lr0 = dissect(lr) | |
graph(ll1, lr1, f0) | |
graph(ll0, lr0, f1) | |
} | |
f0.close | |
f1.close | |
exit | |
end | |
review() if (File.exist?('out.txt')) | |
ks = ['nw', 'cm', 'cg', 'c', 'mxl-', 'mxr-'] | |
x2 = axes2(['mxl', 'mxr', 'mxrl']) | |
x2['mxrl'] += ' with impulse' | |
x2['n'] = nil | |
x = opt(ks, 1e4.to_i, x2) | |
$stderr.puts(fmt(x).inspect) | |
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