Created
October 7, 2019 04:17
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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')):", w = ' with line ') | |
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 += w 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 e(ns) | |
return len01x(ns).flatten.size.to_f / ns.length | |
end | |
def mx01s(ns) | |
l1, l0 = len01x(ns) | |
return (l1 + l0).max.to_f / ns.length | |
end | |
def sum(l) | |
return l.inject { |t, x| t + x } | |
end | |
def measure(l) | |
end | |
def avg(l) | |
return l.empty? ? 0 : sum(l).to_f / l.size | |
end | |
def mxsr(l, nw) | |
end | |
def count(ns) | |
nw = ns.length | |
l = seq(n = ns.to_i(2)) | |
cm1 = (0...l.size).max_by { |x| l[x] } | |
cg = l.index { |x| x < l[0] } | |
cg = l.size - 1 if (cg.nil?) | |
cg1 = l.rindex { |x| x >= l[0] } | |
cm = (0..cg).max_by { |x| l[x] } | |
c = l.size | |
l2 = l[nw..cg1] | |
l2 = [] if (l2.nil?) | |
mx01s = l2.map { |x| mx01s(x.to_s(2)) }.max | |
mx01s = 0 if (mx01s.nil?) | |
cr = l2.size.to_f / nw / 10 | |
return { | |
'ns' => ns, | |
'n' => n, | |
'd' => d(ns), | |
'e' => e(ns), | |
'l' => l, | |
'cg' => cg, | |
'cg1' => cg1, | |
'c' => c, | |
'cm1' => cm1, | |
'cm' => cm, | |
'nw' => nw, | |
'mx01s' => mx01s, | |
'cr' => cr, | |
'mxsr' => mx01s * cr, | |
} | |
end | |
def fmt(x) | |
return remove(x, ['l']) | |
end | |
def axes2(x2) | |
return x2.inject({}) { |h, x| h.merge({x => 'axes x1y2' }) } | |
end | |
def edge(x, x2, f) | |
$a = [] if ($a.nil?) | |
$a << x | |
return if (!f) | |
mn = {} | |
mx = {} | |
$a[0].keys.each \ | |
{ | |
|k| | |
l = $a.map { |x| x[k] } | |
mn[k] = l.min | |
mx[k] = l.max | |
} | |
$a.clear | |
out(mn, x2) | |
out(mx, x2) | |
end | |
def add(l, ns, x2) | |
$t = 0 if ($t.nil?) | |
$t += 1 | |
x = count(ns).merge({'t' => $t}) | |
l << x | |
x = fmt(x) | |
edge(remove(x, ['ns']), x2, $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)] | |
j = l1[-1] | |
x = l.delete_at(i) | |
l.delete_at(j < i ? j : j - 1) if (l.size > 2000) | |
ns1, ns2 = adj(x['ns']) | |
add(l, ns1, x2) | |
add(l, ns2, x2) | |
} | |
return l[order(l, ks)[0]] | |
end | |
def sum(l) | |
return l.inject { |t, x| t + x } | |
end | |
ks = ['nw', 'c', 'cm', 'cm1', 'cg', 'cg1'] | |
ks.concat(['mx01s', 'cr', 'mxsr']) | |
x2 = axes2(['d', 'e', 'mx01s', 'cr', 'mxsr']) | |
.merge({'n' => nil}) | |
['d', 'e'].each { |x| x2[x] += ' dt 3' } | |
x2['mxsr'] += ' lw 2' | |
x = opt(ks, 5e3.to_i, x2) | |
$stderr.puts("\n" + fmt(x).inspect) | |
f2 = File.open('gnuplot.cmd', 'a') | |
f2.puts("pause -1; plot 'out.txt' using (column('mx01s')):(column('cr')):(column('nw')) with point pt 5 ps 0.5 linecolor palette title 'mx01s vs cr'") | |
f2.close | |
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