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October 10, 2020 15:48
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def midpt(ns) | |
w2 = ns.length / 4 | |
l = ns.split('') | |
i = j = 0 | |
while (i < w2 && j < l.size) | |
i += l[j].to_i | |
j += 1 | |
end | |
return j.to_f / ns.length | |
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 d(s) | |
c = s.split('').select { |x| x == '1' }.size | |
d = c.to_f / s.length | |
return d | |
end | |
def e(ns) | |
return len01(ns).flatten.size.to_f / ns.length | |
end | |
def features(ns, k) | |
d = d(ns) | |
e = e(ns) | |
nw = ns.length | |
nw2 = nw / 2 | |
nshi = ns[0...nw2] | |
nslo = ns[nw2..-1] | |
dlo = d(nslo) | |
dhi = d(nshi) | |
elo = e(nslo) | |
ehi = e(nshi) | |
mp = midpt(ns) | |
return { | |
"d#{k}" => d, | |
"e#{k}" => e, | |
"ea#{k}" => (0.5 - e).abs, | |
"da#{k}" => (0.5 -d).abs, | |
"dlo#{k}" => dlo, | |
"dhi#{k}" => dhi, | |
"elo#{k}" => elo, | |
"ehi#{k}" => ehi, | |
"mp#{k}" => mp | |
} | |
end | |
def seq(n, c) | |
l = [n] | |
while (n != 1 && l.size <= c) | |
n = f2(n) | |
l << n | |
end | |
return l | |
end | |
def count(ns) | |
l = seq(n = ns.to_i(2), 1) | |
ns2 = l[-1].to_s(2) | |
nw = ns.length | |
return {'ns' => ns, | |
'ns2' => ns2, | |
'nw' => nw, | |
}.merge(features(ns, '')).merge(features(ns2, '2')) | |
end | |
def f2(n) | |
return n.odd? ? (n * 3 + 1) / 2 : n / 2 | |
end | |
def fmt(a) | |
['ns', 'l'].each { |x| a.delete(x) } | |
return a | |
end | |
def axes2(x2) | |
return x2.inject({}) { |h, x| h.merge({x => 'axes x1y2' }) } | |
end | |
def x1y2() | |
return $a2 if (!$a2.nil?) | |
$a2 = axes2(['nnc', 'ni', 'no', 'dio', 'sio', 'z']) if ($a2.nil?) | |
return $a2 | |
end | |
def out(fn, a, d, a2 = {}, t = nil) | |
if ($f1.nil?) then | |
$f1 = File.open(fn, 'w') | |
$f1.puts(a.keys.join("\t")) | |
$c = 0 | |
end | |
$f1.puts(a.values.join("\t")) | |
$f1.flush | |
$c += 1 | |
return if (($c - 1) % 1000 != 0) | |
d = ($c / 2000).to_i | |
d = 1 if (d == 0) | |
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 bottom 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 | |
def rank(x) | |
return -x['z'] | |
end | |
def adj(x, wt, km) | |
z = 0 | |
km.keys.each \ | |
{ | |
|k| | |
if (x[k].nil?) then | |
z = nil | |
break | |
end | |
z += (x[k] - wt["#{k}_a"]) / wt["#{k}_sd"] * km[k] | |
} | |
x['z'] = z.nil? ? 0.0 : z | |
raise [x['z'], wt].to_s if (!x['z'].finite?) | |
return x | |
end | |
def stat1(k, l) | |
a, sd = stat(l) | |
return {"#{k}_a" => a, | |
"#{k}_s" => sd} | |
end | |
def off() | |
return {'ns' => nil, 'ns2' => nil, 'nw' => nil, 'nw2' => nil} | |
end | |
def add(bs, km, h, ns, l1, wt, t, d) | |
return 0 if ((a1 = count(ns)).nil?) | |
# a1.merge!(stat1('h', h.keys)) | |
j = ns.length | |
h[j] = [] if (!h.member?(j)) | |
x = adj(a1, wt, km) | |
# a, b = [h[j][0], h[j][-1]] | |
return 0 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) | |
x1 = x.dup | |
out('out.txt', x1, d, x1y2().merge(off())) | |
l1 << x1 if (!l1.nil?) | |
return 1 | |
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 initd(w) | |
return(dense(w, rand)) | |
end | |
def initb(w) | |
r = rand | |
return '1' + (1...w).map { rand < r ? '0' : '1' }.join | |
end | |
def initw(w) | |
s = dense(w, 0.5) | |
m = rand(w) | |
i = rand(w - m) + 1 | |
s[i, m] = rand(2).to_s * m | |
return s | |
end | |
def initr(w) | |
s = '1' | |
b = 0 | |
m = rand(w - 1) + 1 | |
while (s.length < w) | |
z = w - s.length | |
s += b.to_s * [rand(m - 1) + 1, z].min | |
b ^= 1 | |
end | |
return s | |
end | |
def init(w) | |
m = rand(w) | |
ns1 = dense(w, 0.5) | |
ns2 = initr(w) | |
ns1, ns2 = [ns2, ns1] if (rand(2) == 0) | |
i = rand(w - m) + 1 | |
ns1[i, m] = ns2[i, m] | |
return ns1 | |
end | |
def range(w) | |
a = (1..w).to_a | |
c = (r = (rand(2) == 0)) ? 2 : (rand(a.size) + 1) | |
l = (1..c).map { a.delete_at(rand(a.size)) }.sort | |
return r ? (l[0]..l[1]).to_a : l | |
end | |
def mutb(ns) | |
ns2 = ns.dup | |
range(ns.length - 1).each \ | |
{ | |
|i| | |
ns2[i, 1] = (ns[i, 1].to_i ^ 1).to_s | |
} | |
return ns2 | |
end | |
def remix(ns) | |
ns2 = ns.dup | |
l1 = range(ns.length - 1) | |
l2 = l1.shuffle | |
l1.size.times \ | |
{ | |
|i| | |
ns2[l2[i], 1] = ns[l1[i], 1] | |
} | |
return ns2 | |
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 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 near(x, l, k2, l1 = []) | |
l.each_with_index \ | |
{ | |
|x1, j| | |
z = 0 | |
['d', 'e', 'da', 'ea', 'dlo', 'dhi', 'elo', 'ehi', 'mp'].each \ | |
{ | |
|k1| | |
k = "#{k1}#{k2}" | |
z += (x[k] - x1[k1]) ** 2 | |
} | |
l1 << [z, j] | |
} | |
l1.sort_by! { |x| x[0] } | |
i = 0 | |
i += 1 while (l1[i][0] == l1[i + 1][0]) | |
return (0..i).map { |x| l[l1[x][1]] } | |
end | |
def states(h, l1) | |
l = h.values.flatten | |
l.each { |x| x['nn'] = []; x['i'] = []; x['o'] = [] } | |
l1.each_with_index \ | |
{ | |
|x, i| | |
si = near(x, l, '') | |
so = near(x, l, '2') | |
si.each \ | |
{ | |
|x1| | |
so.each \ | |
{ | |
|x2| | |
# x1['nn'] << x2['ns'] | |
# x1['i'] << [x['ns'], x1['ns']] | |
# x1['o'] << [x['ns2'], x2['ns']] | |
x1['nn'] |= [x2['ns']] | |
} | |
} | |
# si.each { |x1| x1['i'] << x['ns'] } | |
# so.each { |x2| x2['o'] << x['ns2'] } | |
si.each { |x1| x1['i'] |= [x['ns']] } | |
so.each { |x2| x2['o'] |= [x['ns2']] } | |
} | |
l.each \ | |
{ | |
|x| | |
x['nnc'] = x['nn'].size | |
x['a'] = x['nn'].member?(x['ns']) ? 1 : 0 | |
x['ni'] = x['i'].size | |
x['no'] = x['o'].size | |
x['dio'] = x['ni'] - x['no'] | |
x['sio'] = x['ni'] + x['no'] | |
} | |
end | |
def dist(km, h, wt, l1) | |
states(h, l1) | |
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 remove(l2, t = nil) | |
l1 = ['nn', 'i', 'o', t].compact | |
return l2.map { |x| x1 = x.dup; l1.each { |k| x1.delete(k) }; x1 } | |
end | |
def opt(km, w1, l1, n) | |
h = {} | |
ops = ['init', 'initd', 'initb', 'initw', 'initr', | |
'mutb1', 'remix1', | |
'mix2', 'cut2'] | |
# ops += ['ext1', 'short1'] | |
bs = 500 | |
bc = 50 | |
t = c1 = 0 | |
wt = {} | |
ar = {} | |
loop \ | |
{ | |
if (c1 % 100 == 0) then | |
dist(km, h, wt, l1) | |
h.values.flatten.each { |x| adj(x, wt, km) } | |
h.each { |k, l| l.sort_by! { |x| rank(x) } } | |
l2 = h.values.flatten | |
if (!l2.empty?) then | |
a = {} | |
l2.each_with_index { |x, i| a[x['ns']] = i } | |
c = 0 | |
l2.each_with_index \ | |
{ | |
|x, i| | |
ns = nil | |
if (x['nn'].member?(x['ns'])) then | |
ns = x['ns'] | |
c +=1 | |
end | |
p([i, x['nn'].size, x['i'].size, x['o'].size, ns]) | |
} | |
puts("#{c} self-loops") | |
outafn(remove(l2, 't'), 'gnuplot1.cmd', "#{c1} / #{km}", off().merge(x1y2())) | |
end | |
end | |
break if (c1 == n) | |
opc = ops[r = rand(ops.size)] | |
op, p = opc.start_with?('init') ? [opc, 0] : [opc[0..-2], opc[-1..-1].to_i] | |
ks = h.keys.sort_by { |x| rank(h[x][0]) } | |
ks = ks[0...[ks.size, ks.size / 4].max] | |
case (p) | |
when 0 | |
w = ks.empty? ? w1 : ks[rand(ks.size)] | |
ns = send(op, w) | |
when 1, 2 | |
redo if (h.empty?) | |
h.delete(ks.pop) if (ks.size > bc) | |
arg = (1..p).map { ks[rand(ks.size)] } | |
l = arg.map { |x| top(h[x])['ns'] } | |
ns = send(op, *l) | |
ns[0, 1] = '1' | |
end | |
raise op if (ns[0, 1] != '1') | |
raise ns if (ns.length != w1) | |
d = (t.to_f / (c1 + 1) * n / 2000).to_i | |
c1 += add(bs, km, h, ns, l1, wt, t, d) | |
ar[r] = ar.fetch(r, 0) + 1 | |
if (t % 100 == 0) then | |
msg = {'t' => t, | |
'c1' => c1, | |
'f' => (c1.to_f / t * 100).round(2), | |
'ar' => ar.sort_by { |x| x[0] }.map { |x| x[1] }, | |
'hmn' => ks.min, | |
'hmx' => ks.max, | |
'hc' => h.size, | |
'wt' => wt} | |
h0 = nonnil(h.fetch(ks[0], [])[0], {}).dup | |
msg2 = {'h0' => h0} | |
['h0'].each { |x| fmt(msg2[x]) } | |
$stderr.puts(msg) | |
$stderr.puts("\t" + msg2.inspect) if (t % 1000 == 0) | |
end | |
t += 1 | |
} | |
return h | |
end | |
def outd(f, l) | |
f.puts('$dat << eof') | |
k = l[0].keys | |
f.puts(k.join("\t")) | |
l.each { |x| f.puts(x.values.join("\t")) } | |
f.puts('eof') | |
return k | |
end | |
def outa(f, l, a = {}, t = '') | |
k = outd(f, l) | |
f.puts("set colors classic; set key bottom left opaque; set title '#{t}'; ") | |
f.puts("set ytics nomirror; set y2tics;") | |
f.puts("plot \\") | |
ct = '' | |
k, ct = [k - ['t'], "(column('t')):"] if (k.member?('t')) | |
k.each \ | |
{ | |
|x| | |
next if (a.member?(x) && a[x].nil?) | |
opt = a.fetch(x, '') | |
opt += opt.include?('x1y2') ? ' lw 3 ' : ' dt 3 ' | |
opt += ' with line ' if (!opt.include?('with') && !opt.include?('pt')) | |
f.puts("'$dat' using #{ct}(column('#{x}')) #{opt} title '#{x}',\\") | |
} | |
f.puts | |
# f.puts("reset; pause -1;") | |
end | |
def outafn(l, fn = nil, t = '', a = {}) | |
fn = 'gnuplot.cmd' if (fn.nil?) | |
outa(f = File.open(fn, 'w'), l, a, t) | |
f.close | |
$stderr.puts([fn, l.size, t].inspect) | |
end | |
def fmt1(l, f) | |
w = l.max_by { |x| x.length }.length | |
f.puts("set colors classic; set ytics nomirror; set y2tics; set key top right opaque;\\") | |
f.puts("plot \\") | |
f.puts("[0:#{l.size - 1}][0:#{w}] '-' matrix using 2:1:3 with image title '', \\") | |
f.puts("'-' using (column('d')) with line axes x1y2 dt 2 lw 3, \\") | |
f.puts("'-' using 1 with line title 'e' axes x1y2 dt 2 lw 3") | |
l1 = [] | |
l.each_with_index \ | |
{ | |
|z, i| | |
l1 << [d(z), e(z)] | |
c = w - z.length | |
z[z.length...w] = '0' * c | |
f.puts(z.split('').join(' ')) | |
} | |
f.puts("eof") | |
f.puts("eof") | |
f.puts("d") | |
l1.each { |x| f.puts(x[0]) } | |
f.puts("eof") | |
l1.each { |x| f.puts(x[1]) } | |
f.puts("eof") | |
end | |
def grid(l, fn, t = '') | |
f = File.open(fn, 'w') | |
f.puts("set palette negative grayscale; unset colorbox; set title '#{t}';") | |
fmt1(l.map { |x| x.reverse }, f) | |
f.close | |
end | |
c = 4e3.to_i | |
#c = 1e3.to_i | |
w = 50 | |
a = {'nnc' => -1} | |
a = {'sio' => 1} | |
a = {'sio' => -1} | |
a = {'dio' => 1} | |
a = {'a' => -1, 'sio' => -1} | |
a = {'a' => -1} | |
a = {'a' => -1, 'nnc' => -1} | |
a = {'a' => -1, 'nnc' => -1, 'ni' => -1, 'no' => -1, 'sio' => -1} | |
a = {'a' => -1, 'nnc' => -1, 'ni' => -1, 'no' => -1, 'sio' => -1, 'dio' => 1} | |
h = opt(a, w, l1 = [], c.to_i) | |
l = h.values.flatten | |
l.sort_by! { |x| x['t'] } | |
outafn(remove(l), 'gnuplot2.cmd', '', off()) | |
grid(l.map { |x| x['ns'] }, 'gnuplot3.cmd') |
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