OEIS sequence enumerator

This commit is contained in:
relikd
2021-02-06 00:59:23 +01:00
parent 37ce32e530
commit 36c73f1b97
3 changed files with 107 additions and 5 deletions

2
.gitignore vendored
View File

@@ -1,4 +1,6 @@
__pycache__/
data/oeis_orig.txt
data/oeis.txt
other/ec-*.png
other/ec-*.txt
other/list-onions.txt

View File

@@ -140,7 +140,7 @@ class RuneText(object):
def trim(self, maxlen):
if self._data_len > maxlen:
if self._rune_sum > 0:
if self._rune_sum and self._rune_sum > 0:
self._rune_sum -= sum(x.prime for x in self._data[maxlen:])
self._data = self._data[:maxlen]
self._data_len = maxlen
@@ -221,6 +221,14 @@ class RuneText(object):
def rune(self):
return ''.join(x.rune for x in self._data)
@property
def index(self):
return [x.index for x in self._data]
@property
def index_no_whitespace(self):
return [x.index for x in self._data if x.index != 29]
def __getitem__(self, key):
if isinstance(key, str):
return [getattr(x, key) for x in self._data]

100
solver.py
View File

@@ -3,6 +3,7 @@ from RuneSolver import VigenereSolver, SequenceSolver
from RuneText import Rune, RuneText
from lib import elliptic_curve
import sys
import itertools
def load_sequence_file(fname):
@@ -70,15 +71,28 @@ def print_all_solved():
def play_around():
slvr = VigenereSolver()
slvr.output.COLORS = False
slvr.input.load(file='_input.txt')
slvr.output.QUIET = True
slvr.KEY_DATA = []
slvr.run()
vowels = 'ᚢᚩᛁᛇᛖᛟᚪᚫᛡᛠ'
for uuu in ['0-2', '3-7', '8-14', '15-22', '23-26', '27-32', '33-39', '40-53', '54-55']:
slvr.input.load(file=f'pages/p{uuu}.txt')
print(uuu)
print('word count:', sum(len(x) for x in slvr.input.words.values()))
a = [1 if x.rune in vowels else 0 for x in slvr.input.runes_no_whitespace()]
b = [a[i:i + 5] for i in range(0, len(a), 5)]
c = [int(''.join(str(y) for y in x), 2) for x in b]
# print('-'.join(str(x) for x in c))
# print(''.join(Rune(i=x).text for x in c))
# print(''.join('ABCDEFGHIJKLMNOPQRSTUVWXYZ___...'[x] for x in c))
# slvr.run()
def try_totient_on_unsolved():
slvr = SequenceSolver()
slvr.output.QUIET = True
slvr.output.BREAK_MODE = '' # disable line breaks
# slvr.INTERRUPT = 'ᛝ'
# slvr.INTERRUPT_POS = [1]
# for uuu in ['15-22']:
for uuu in ['0-2', '3-7', '8-14', '15-22', '23-26', '27-32', '33-39', '40-53', '54-55']:
print()
@@ -117,8 +131,86 @@ def try_totient_on_unsolved():
slvr.run()
def find_oeis(irp=0, invert=False, offset=0):
def trim_orig_oeis(minlen=15, trim=40):
# download and unzip: https://oeis.org/stripped.gz
with open('data/oeis_orig.txt', 'r') as f_in:
with open('data/oeis.txt', 'w') as f_out:
for line in f_in.readlines():
if line[0] == '#':
continue
name, *vals = line.split(',')
vals = [str(int(x) % 29) for x in vals if x.strip()][:trim]
if len(vals) < minlen:
continue
f_out.write(name + ',' + ','.join(vals) + '\n')
# trim_orig_oeis() # create db if not present already
with open('data/oeis.txt', 'r') as f:
seqs = []
for line in f.readlines():
name, *vals = line.split(',')
vals = [int(x) for x in vals]
seqs.append([name] + vals)
RUNES = 'ᚠᚢᚦᚩᚱᚳᚷᚹᚻᚾᛁᛄᛇᛈᛉᛋᛏᛒᛖᛗᛚᛝᛟᛞᚪᚫᚣᛡᛠ'
words = [set()] * 13
words[1] = set(x for x in RUNES)
for i in range(2, 13): # since 12 is the longest word
with open(f'data/dictionary_{i}.txt', 'r') as f:
words[i] = set(x.strip() for x in f.readlines())
for uuu, wlen in {
'0-2': [8, 5, 4, 3, 3, 11, 5, 4, 3, 3],
'3-7': [2, 11, 3, 4, 7, 7, 7, 4, 6],
'8-14': [4, 8, 3, 2, 3, 9, 4, 3, 4, 2, 2],
'15-22': [4, 5, 4, 2, 5, 4, 5, 6, 5, 6, 3, 3],
'23-26': [2, 6, 3, 4, 8, 3, 3, 7, 5, 5],
'27-32': [3, 12, 4, 7, 2, 3, 3, 2, 1, 3, 4],
'33-39': [2, 8, 2, 9, 6, 3, 3, 5, 3, 2],
'40-53': [3, 5, 5, 4, 3, 5, 4, 2, 12, 3, 3, 2],
'54-55': [1, 8, 8, 3, 6, 2, 5, 3, 2, 3, 5, 7],
# '56_an_end': [2, 3, 5, 2, 4, 3, 4, 6, 1, 4, 3, 6, 2],
}.items():
minwords = sum(wlen[:2]) # must match at least n words
splits = [(0, 0, 0)]
for x in wlen:
splits.append((splits[-1][1], splits[-1][1] + x))
splits = splits[1:]
print()
print(uuu)
with open(f'pages/p{uuu}.txt', 'r') as f:
data = RuneText(f.read()[:120]).index_no_whitespace
irps = [i for i, x in enumerate(data[:splits[-1][1]]) if x == irp]
irps.reverse()
if invert:
data = [28 - x for x in data]
for oeis, *v in seqs: # 390k
v = v[offset:]
if len(v) < minwords:
continue
cases = [x for x in irps if x < len(v)]
for i in range(len(cases) + 1):
for comb in itertools.combinations(cases, i): # 2^3
res = v[:]
for z in comb:
res.insert(z, -1) # insert interrupts
for s in range(29):
who = ''.join(RUNES[x if y == -1 else (x - y - s) % 29]
for x, y in zip(data, res))
active = [x for x in splits if x[1] <= len(who)]
bag = [who[x:y] for x, y in active]
if all(w in words[len(w)] for w in bag):
print(oeis.split()[0], 'shift:', s, 'irps:', comb)
print(' ', ' '.join(RuneText(w).text for w in bag))
if '-s' in sys.argv: # print [s]olved
print_all_solved()
else:
# play_around()
try_totient_on_unsolved()
play_around()
# try_totient_on_unsolved()
# for i in range(0, 4):
# print('offset:', i)
# find_oeis(irp=0, invert=False, offset=i)