Created
November 28, 2020 00:48
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def f2(n) | |
return n.odd? ? (n * 3 + 1) / 2 : n / 2 | |
end | |
def seq(n, c) | |
l = [n] | |
while (n != 1 && l.size < c) | |
n = f2(n) | |
l << n | |
end | |
raise if (l.size != c) | |
return l | |
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 sum(l) | |
return l.inject { |t, x| t + x } | |
end | |
def avg(l) | |
return (l.nil? || l.empty?) ? 0 : sum(l).to_f / l.size | |
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 e(ns) | |
return 0 if (ns.empty?) | |
return len01(ns).flatten.size.to_f / ns.length | |
end | |
def d(s) | |
return 0 if (s.empty?) | |
c = s.split('').select { |x| x == '1' }.size | |
d = c.to_f / s.length | |
return d | |
end | |
def runavg(l, k, c) | |
l1 = l.map { |x| x[k] } | |
t = sum(l1[0...c]) | |
l2 = (['-'] * (c - 1)) + [t.to_f / c] | |
while (l1.size > c) | |
t -= l1.shift | |
t += l1[c - 1] | |
l2 << (t.to_f / c) | |
end | |
return l2 | |
end | |
def d1(s) | |
c = s.split('').select { |x| x == '1' }.size | |
return c | |
end | |
def midpt2(ns) | |
w2 = d1(ns) / 2 | |
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 features(ns) | |
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 = midpt2(ns) | |
return { | |
"d" => d, | |
"e" => e, | |
"ea" => (0.5 - e).abs, | |
"da" => (0.5 -d).abs, | |
"dlo" => dlo, | |
"dhi" => dhi, | |
"elo" => elo, | |
"ehi" => ehi, | |
"mp" => mp, | |
"nw" => ns.length | |
} | |
end | |
def data(l) | |
l2 = l.map { |x| features(x.to_s(2)) } | |
a = {} | |
l2[0].keys.each \ | |
{ | |
|k| | |
l1 = runavg(l2, k, l2.size - 1) | |
a[k] = l1[-2].round(3) | |
a["#{k}2"] = l1[-1].round(3) | |
} | |
a['nw21'] = (a['nw2'].to_f / a['nw']).round(3) | |
return a | |
end | |
def datum(d, j, w = 200, c2 = 10) | |
ns = dense(w, d) | |
n = ns.to_i(2) | |
l = seq(n, c2) | |
a1 = data(l).merge({'j' => j}) | |
return a1 | |
end | |
def dataset(c1) | |
a = 0.0 | |
b = 1.0 | |
l1 = [] | |
c1.times \ | |
{ | |
|j| | |
d = a + (b - a) * j.to_f / (c1 - 1) | |
l1 << datum(d, j) | |
} | |
return l1 | |
end | |
def near(x, l, k2 = '', l1 = []) | |
l.each_with_index \ | |
{ | |
|x1, j| | |
next if (x == x1) | |
next if (!x1.member?('x')) | |
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 (i + 1 < l1.size && l1[i][0] == l1[i + 1][0]) | |
return (0..i).map { |x| l[l1[x][1]].merge({'z' => l1[x][0]}) } | |
end | |
def out(a, a2 = {}, t = nil, fno = 1) | |
$f = {} if ($f.nil?) | |
if (!$f.member?(fno)) then | |
$f[fno] = {'fn' => "out#{fno}.txt", 'c' => 0} | |
$f[fno]['f'] = File.open($f[fno]['fn'], 'w') | |
end | |
f = $f[fno] | |
f['f'].puts(a.keys.join("\t")) if (f['c'] == 0) | |
f['f'].puts(a.values.join("\t")) | |
f['c'] += 1 | |
f['f'].flush | |
return if ((f['c'] - 1) % 1000 != 0) | |
d = (f['c'] / 2000).to_i | |
d = 1 if (d == 0) | |
f2 = File.open("gnuplot#{fno}.cmd", 'w') | |
fn = f['fn'] | |
st = t.nil? ? 'unset title; ' : "set title '#{t}'; " | |
k = "key top left box opaque" | |
f2.puts("set ytics nomirror; set y2tics; set colors classic; set #{k}; #{st}; plot \\") | |
c1, c2 = ":(column('w'))", 'linecolor palette' if (a.key?('w')) | |
ct = "(column('t')):" | |
(a.keys - ['t']).each \ | |
{ | |
|x| | |
next if (a2.member?(x) && a2[x].nil?) | |
lw = "lw 2" if (!a2.fetch(x, '').include?('lw')) | |
f2.puts("'#{fn}' using (column('#{x}'))#{c1} every #{d} with line #{lw} #{c2} #{a2[x]} title '#{x}', \\") | |
} | |
f2.puts | |
f2.close | |
end | |
def test(i = nil, m = true, c1 = 100, f = 2) | |
t1 = {'i' => i, 'm' => m, 'c1' => c1, 'f' => f} | |
l1 = dataset(c1) | |
(0...c1).to_a.shuffle[0...(c1 / f)].each { |x| l1[x]['x'] = nil } | |
t = 0 | |
loop \ | |
{ | |
a = {} | |
l2 = [] | |
(l3 = l1.select { |x| !x.member?('x') }).each \ | |
{ | |
|x| | |
x1 = near(x, l1)[0] | |
x2 = near(x, l1, '2')[0] | |
j1 = x1['j'] | |
j2 = x2['j'] | |
a[j1] = a.fetch(j1, 0) + 1 | |
a[j2] = a.fetch(j2, 0) + 1 | |
l2 << [x['j'], j1, x1['z'] + x2['z']] if (j1 == j2) | |
x['j1'] = j1 | |
x['j2'] = j2 | |
x['z1'] = x1['z'] | |
x['z2'] = x2['z'] | |
} | |
break if (l2.empty?) | |
mx = a.max_by { |x| x[1] } | |
mn = a.min_by { |x| x[1] } | |
b = l2.min_by { |x| x[2] } | |
j1 = b[0] | |
x = l1[j1] | |
l1[j1] = datum(rand(), j1) | |
out({ | |
'z2' => b[2], | |
'l2' => l2.size, | |
'l3' => l3.size, | |
'mx' => mx[1], | |
'mn' => mn[1], | |
'a' => a.size, | |
}, | |
{'z2' => 'lw 1 dt 3 axes x1y2'}, t1.inspect.sub('{', '\{').sub('}', '\}')) | |
$stderr.puts(t) if (t % 10 == 0) | |
t += 1 | |
} | |
f = File.open('induct.txt', 'w') | |
l1.each { |x| f.puts(x.inspect) } | |
f.close | |
end | |
def load() | |
l1 = (f = File.open('induct.txt')).readlines.map { |x| Kernel.eval(x) } | |
f.close | |
return l1 | |
end | |
def graph() | |
l1 = load() | |
l1.select { |x| x.member?('x') }.each { |x| x['y'] = rand() } | |
l = [] | |
puts("digraph {") | |
l1.select { |x| !x.member?('x') }.each \ | |
{ | |
|x| | |
j1 = x['j1'] | |
j2 = x['j2'] | |
puts("#{j1} -> #{j2}") | |
} | |
puts("}") | |
exit | |
end | |
graph() if (File.exist?('induct.txt')) | |
test() |
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