Created
July 3, 2019 02:31
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def f2(n) | |
return n.odd? ? (n * 3 + 1) / 2 : n / 2 | |
end | |
def fwd(l, x) | |
return 0 if (x >= l.size) | |
return 0 if (x + l[x].to_s(2).length >= l.size) | |
x1 = l[x + l[x].to_s(2).length].to_s(2).length | |
return x1.nil? ? 0 : x1 | |
end | |
def count(ns, l2 = []) | |
n = n1 = ns.to_i(2) | |
l = [n1] | |
while (n != 1) | |
n = f2(n) | |
l << n | |
end | |
x1 = fwd(l, 0) | |
x2 = fwd(l, 200) | |
fr = x2.to_f / (x1 == 0 ? 1 : x1) | |
cg = l.size | |
cm = (0...l.size).max_by { |x| l[x] } | |
nl = ns.length | |
return {'ns' => ns, | |
'cm' => cm, | |
'cg' => l.size, | |
'cr' => l.size - cm, | |
'nl' => nl, | |
'fr' => fr | |
} | |
end | |
def initd(w, m) | |
d = m.to_f / w | |
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 initb(w, m) | |
r = m.to_f / w | |
return '1' + (1...w).map { rand < r ? '0' : '1' }.join | |
end | |
def initw(w, m) | |
s = initd(w, w / 2) | |
i = rand(w - m) + 1 | |
m = [w - i, m].max | |
s[i, m] = rand(2).to_s * m | |
return s | |
end | |
def mut(ns) | |
ns = ns.dup | |
i = rand(ns.length - 1) + 1 | |
ns[i, 1] = (ns[i, 1].to_i ^ 1).to_s | |
return ns | |
end | |
def inner(ns1, ns2) | |
a, b = [ns1, ns2].sort_by { |x| x.length } | |
d = b.length - a.length | |
i = rand(d + 1) | |
c = b.dup | |
c[i, a.length] = a | |
ns1.replace(b) | |
ns2.replace(c) | |
end | |
def mix(ns1, ns2) | |
ns1 = ns1.dup | |
ns2 = ns2.dup | |
inner(ns1, ns2) | |
return (0...ns1.length).map { |x| [ns1, ns2][rand(2)][x, 1] }.join | |
end | |
def cut(ns1, ns2) | |
ns1 = ns1.dup | |
ns2 = ns2.dup | |
inner(ns1, ns2) | |
i = rand(ns1.length) | |
return ns1[0...i] + ns2[i..-1] | |
end | |
def ext(ns) | |
ns = ns.dup | |
(rand(3) + 1).times { ns[rand(ns.length) + 1, 0] = rand(2).to_s } | |
return ns | |
end | |
def short(ns) | |
return ns if (ns.length == 1) | |
ns = ns.dup | |
(rand([ns.length - 1, 3].min) + 1).times { ns[rand(ns.length - 1) + 1, 1] = '' } | |
return ns | |
end | |
def rank(x) | |
return -x['z'] | |
end | |
def adj(x, wt, km) | |
z = 0 | |
km.keys.each { |k| z += (x[k] - wt["#{k}_a"]) / wt["#{k}_sd"] * km[k] } | |
x['z'] = z | |
raise [x, wt].to_s if (!z.finite?) | |
return x | |
end | |
def out(fn, a, d, a2 = {}, t = nil) | |
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| | |
f2.puts("'#{fn}' using (column('t')):(column('#{x}')) every #{d} with line title '#{x}' #{a2[x]}, \\") | |
} | |
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 add(bs, km, k, h, ns, l1, wt, t, d) | |
j = ns.length | |
h[j] = [] if (!h.member?(j)) | |
x = adj(count(ns), wt, km) | |
a, b = [h[j][0], h[j][-1]] | |
return if (h[j].map { |x| x['ns'] }.member?(x['ns'])) | |
x['t'] = t | |
h[j] << x | |
h[j].sort_by! { |x| rank(x) } | |
h[j][bs..-1] = [] if (h[j].size > bs) | |
out('out.txt', x1 = remove(x, ['ns']), d, {k => 'axis x1y2'}) | |
l1 << x1 | |
end | |
def top(h1) | |
return h1[rand([h1.size / 4, h1.size].max)] | |
end | |
def stat(l) | |
return 0, 1.0 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 | |
end | |
def dist(km, h, wt) | |
l = h.values.flatten | |
km.keys.each \ | |
{ | |
|k| | |
a, sd = stat(l.map { |x| x[k] }) | |
sd = 1.0 if (sd == 0) | |
wt.merge!({"#{k}_a" => a, "#{k}_sd" => sd}) | |
} | |
end | |
def nonnil(x, y) | |
return x.nil? ? y : x | |
end | |
def opt(km, w1, k, l1, n) | |
h = {} | |
ops = ['initd0', 'initb0', 'initw0', 'mut1', 'mix2', 'cut2'] | |
ops += ['ext1', 'short1'] | |
bs = 50 | |
bc = 50 | |
t = 0 | |
d = n / 2000 | |
wt = {} | |
n.times \ | |
{ | |
if (t % 100 == 0) then | |
dist(km, h, wt) | |
h.values.flatten.each { |x| adj(x, wt, km) } | |
end | |
opc = ops[rand(ops.size)] | |
c = opc[-1..-1].to_i | |
op = opc[0..-2] | |
ks = h.keys.sort_by { |x| rank(h[x][0]) } | |
ks = ks[0...[ks.size, ks.size / 4].max] | |
case (c) | |
when 0 | |
w = ks.empty? ? w1 : ks[rand(ks.size)] | |
ns = send(op, w, rand(w)) | |
when 1, 2 | |
redo if (h.empty?) | |
h.delete(ks.pop) if (ks.size > bc) | |
arg = (0...c).map { ks[rand(ks.size)] } | |
l = arg.map { |x| top(h[x])['ns'] } | |
ns = send(op, *l) | |
ns[0, 1] = '1' | |
end | |
add(bs, km, k, h, ns, l1, wt, t, d) | |
if (t % 100 == 0) then | |
kmx = nonnil(h.values.flatten.max_by { |x| x[k] }, {}).dup | |
h0 = nonnil(h.fetch(ks[0], [])[0], {}).dup | |
msg = Hash[[['t', 'hmn', 'hmx', 'hc', 'h_0', "#{k}_0"], [t, ks.min, ks.max, h.size, h0, kmx]].transpose] | |
msg['h_0'].delete('ns') | |
msg["#{k}_0"].delete('ns') | |
p(msg) | |
end | |
t += 1 | |
} | |
end | |
def sample(l, c) | |
r = l.size / c | |
l2 = *(0...l.size).select { |x| x % r == 0 } | |
l2[c..-1] = [] | |
return l.values_at(*l2) | |
end | |
def graph(k, l1) | |
l = sample(l1.sort_by { |x| x['nl'] }, 2000) | |
f = File.open('gnuplot2.cmd', 'w') | |
f.puts('$dat << eof') | |
f.puts(l[0].keys.join("\t")) | |
l.each { |x| f.puts(x.values.join("\t")) } | |
f.puts('eof') | |
f.puts("plot $dat using (column('nl')):(column('#{k}')) pt 5 ps 0.5 title '#{k} vs nl'") | |
f.close | |
end | |
k = 'fr' | |
v = {k => 1, 'cm' => 1, 'cg' => 1, 'cr' => 1, 'nl' => 1} | |
opt(v, 100, k, l1 = [], 1e5.to_i) | |
graph(k, l1) | |
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