Created
December 17, 2019 02:58
-
-
Save vznvzn/77190532f2aa9b481047317840c04a56 to your computer and use it in GitHub Desktop.
This file contains bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
def f2(n) | |
return n.odd? ? (n * 3 + 1) / 2 : n / 2 | |
end | |
def count(ns, l2 = []) | |
n = n1 = ns.to_i(2) | |
l = [n1] | |
while (n != 1) | |
n = f2(n) | |
l << n | |
end | |
cg = l.index { |x| x < l[0] } | |
cg = l.size - 1 if (cg.nil?) | |
cm = (0..cg).max_by { |x| l[x] } | |
cm1 = (0...l.size).max_by { |x| l[x] } | |
cg1 = l.rindex { |x| x >= l[0] } | |
c = l.size | |
return {'ns' => ns, | |
'cm' => cm, | |
'cg' => cg, | |
'cm1' => cm1, | |
'cg1' => cg1, | |
'c' => l.size, | |
'l' => l | |
} | |
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| | |
next if (a2.member?(x) && a2[x].nil?) | |
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', 'l']).merge({'n' => x['ns'].to_i(2)}), d, {k => 'axis x1y2', 'n' => nil}) | |
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(0) { |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 | |
d = 1 if (d == 0) | |
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 | |
k0 = "#{k}_0" | |
msg = Hash[[['t', 'hmn', 'hmx', 'hc', 'h_0', k0], [t, ks.min, ks.max, h.size, h0, kmx]].transpose] | |
['h_0', k0].each \ | |
{ | |
|x| | |
['ns', 'l'].each { |x1| msg[x].delete(x1) } | |
} | |
$stderr.puts(msg.inspect) | |
end | |
t += 1 | |
} | |
return h | |
end | |
def fmt1(l, f) | |
w = l.max_by { |x| x.length }.length | |
f.puts("set colors classic; set key top left opaque;\\") | |
f.puts("plot \\") | |
f.puts("[0:#{w}][0:#{l.size - 1}] '-' matrix using 1:2:(1-$3) with image title ''") | |
l.each_with_index \ | |
{ | |
|z, i| | |
c = w - z.length | |
z[z.length...w] = '0' * c | |
f.puts(z.split('').join(' ')) | |
} | |
f.puts("eof") | |
f.puts("eof") | |
end | |
def grid(l) | |
f = File.open(fn = "gnuplot1.cmd", 'w') | |
f.puts("set palette negative grayscale; unset colorbox;") | |
fmt1(l.map { |x| x.reverse }, f) | |
f.close | |
end | |
def sample(l, c) | |
r = l.size / c | |
l2 = *(0...l.size).select { |x| x % r == 0 } | |
l2[c..-1] = [] | |
return l.values_at(*l2) | |
end | |
def seq(n) | |
n1 = n | |
l = [] | |
begin | |
l << n | |
n = f2(n) | |
end while (n != 1) | |
return l | |
end | |
def lsb(ns) | |
r = ns.split('').rindex("0") | |
r = 0 if (r.nil?) | |
c1 = ns.length - r | |
return c1 | |
end | |
def lenx(ns, p) | |
l = ns.split(p) | |
l = [] if (l.nil?) | |
l.shift if (l[0] == '') | |
return l.map { |x| x.length } | |
end | |
def len01x(ns) | |
return lenx(ns, /0+/), lenx(ns, /1+/) | |
end | |
def outa(f, l, a = {}, t = '') | |
f.puts('$dat << eof') | |
k = l[0].keys | |
f.puts(k.join("\t")) | |
l.each { |x| f.puts(x.values.join("\t")) } | |
f.puts('eof') | |
f.puts("set colors classic; set key top left; set title '#{t}'; ") | |
# f.puts("set ytics nomirror; set y2tics;") | |
f.puts("plot \\") | |
k.each \ | |
{ | |
|x| | |
next if (a.member?(x) && a[x].nil?) | |
f.puts("'$dat' using (column('#{x}')) with line #{a.fetch(x, '')} lw 2,\\") | |
} | |
f.puts | |
# f.puts("reset; pause -1;") | |
end | |
def values(x) | |
ns = x['n'].to_s(2) | |
c1 = lsb(ns) | |
l1 = seq(x['n']) | |
mx1 = nil | |
mx2 = nil | |
l1[c1..-1].each \ | |
{ | |
|x1| | |
l2 = lenx(x1.to_s(2), /0+/) | |
mx1 = [mx1, l2[-1]].compact.max | |
mx2 = [mx2, l2].flatten.compact.max | |
} | |
return {'cg' => x['cg'], | |
'mx1' => mx1, | |
'mx2' => mx2, | |
'c' => l1.size, | |
'c1' => c1} | |
end | |
def review() | |
l = File.open('out.txt').readlines | |
nc = l[0].split.index('n') | |
ncg = l[0].split.index('cg') | |
l = l[1..-1].map \ | |
{ | |
|x| | |
l1 = x.split | |
{'n' => l1[nc].to_i, 'cg' => l1[ncg].to_i} | |
}.sort_by { |x| x['cg'] } | |
$stderr.puts({'c' => l.size}.inspect) | |
l = sample(l, 200) | |
l2 = [] | |
l.each_with_index \ | |
{ | |
|x, j| | |
l2 << values(x) | |
$stderr.puts(j) | |
} | |
outa(f = File.open('gnuplot1.cmd', 'w'), l2, {'c' => 'axes x1y2', 'cg' => 'axes x1y2'}) | |
f.close | |
exit | |
end | |
review if (File.exist?('out.txt')) | |
k = 'z' | |
v = {'cg' => 1} | |
opt(v, 500, k, l1 = [], 1e4.to_i) | |
Sign up for free
to join this conversation on GitHub.
Already have an account?
Sign in to comment