InterruptDB + AffineSolver

HeuristicLib.py

@@ -0,0 +1,68 @@
+#!/usr/bin/env python3
+import re
+from RuneText import RuneText
+from NGrams import NGrams
+
+
+def normalized_probability(int_prob):
+    total = sum(int_prob)
+    return [x / total for x in int_prob]  # math.log(x / total, 10)
+
+
+RUNES = 'ᚠᚢᚦᚩᚱᚳᚷᚹᚻᚾᛁᛄᛇᛈᛉᛋᛏᛒᛖᛗᛚᛝᛟᛞᚪᚫᚣᛡᛠ'
+re_norune = re.compile('[^' + RUNES + ']')
+PROB_INT = [0] * 29
+for k, v in NGrams.load().items():
+    PROB_INT[RUNES.index(k)] = v
+PROB_NORM = normalized_probability(PROB_INT)
+K_r = 1 / 29   # 0.034482758620689655
+K_p = sum(x ** 2 for x in PROB_INT)  # 0.06116195419412538
+
+
+#########################################
+#  Probability  :  Count runes and do simple frequency analysis
+#########################################
+
+class Probability(object):
+    def __init__(self, numstream):
+        self.prob = [0] * 29
+        for r in numstream:
+            self.prob[r] += 1
+        self.N = len(numstream)
+
+    def IC(self):
+        X = sum(x * (x - 1) for x in self.prob)
+        return X / ((self.N * (self.N - 1)) / 29)
+
+    def friedman(self):
+        return (K_p - K_r) / (self.IC() - K_r)
+
+    def similarity(self):
+        probs = normalized_probability(self.prob)
+        return sum((x - y) ** 2 for x, y in zip(PROB_NORM, probs))
+
+    @staticmethod
+    def IC_w_keylen(nums, keylen):
+        val = sum(Probability(nums[x::keylen]).IC() for x in range(keylen))
+        return val / keylen
+
+
+#########################################
+#  load page and convert to indices for faster access
+#########################################
+
+def load_indices(fname, interrupt, maxinterrupt=None, minlen=None, limit=None):
+    with open(fname, 'r') as f:
+        data = RuneText(re_norune.sub('', f.read()))['index'][:limit]
+    if maxinterrupt is not None:
+        # incl. everything up to but not including next interrupt
+        # e.g., maxinterrupt = 0 will return text until first interrupt
+        for i, x in enumerate(data):
+            if x != interrupt:
+                continue
+            if maxinterrupt == 0:
+                if minlen and i < minlen:
+                    continue
+                return data[:i]
+            maxinterrupt -= 1
+    return data

HeuristicSearch.py

@@ -1,6 +1,7 @@
 #!/usr/bin/env python3
 import itertools  # product, compress, combinations
 import bisect  # bisect_left, insort
+import lib as LIB
 
 
 #########################################
@@ -26,6 +27,31 @@ class GuessVigenere(object):
         return found
 
 
+#########################################
+#  GuessAffine  :  Find greatest common affine key
+#########################################
+
+class GuessAffine(object):
+    def __init__(self, nums):
+        self.nums = nums
+
+    def guess(self, keylength, score_fn):  # minimize score_fn
+        found = []
+        for offset in range(keylength):
+            candidate = (None, None)
+            best = 9999999
+            for s in range(29):
+                for t in range(29):
+                    shifted = [LIB.affine_decrypt(x, (s, t))
+                               for x in self.nums[offset::keylength]]
+                    score = score_fn(shifted)
+                    if score < best:
+                        best = score
+                        candidate = (s, t)
+            found.append(candidate)
+        return found
+
+
 #########################################
 #  SearchInterrupt  :  Hill climbing algorithm for interrupt detection
 #########################################
@@ -39,6 +65,9 @@ class SearchInterrupt(object):
     def to_occurrence_index(self, interrupts):
         return [self.stops.index(x) + 1 for x in interrupts]
 
+    def from_occurrence_index(self, interrupts):
+        return [self.stops[x - 1] for x in interrupts]
+
     def join(self, interrupts=[]):  # rune positions, not occurrence index
         ret = []
         i = -1
@@ -145,7 +174,7 @@ class SearchInterrupt(object):
                 current = update
                 continue  # did optimize, so retry with same level
             level += 1
-        print()
+        print('.')
         # find equally likely candidates
         if self.single_result:
             return best, [current]

InterruptDB.py

@@ -0,0 +1,74 @@
+#!/usr/bin/env python3
+import os
+from HeuristicSearch import SearchInterrupt
+from HeuristicLib import load_indices, Probability
+
+
+class InterruptDB(object):
+    DB_NAME = 'data/interruptDB.txt'
+
+    def __init__(self, data, interrupt):
+        self.iguess = SearchInterrupt(data, interrupt)
+        self.stop_count = len(self.iguess.stops)
+
+    def make(self, keylen):
+        def fn(x):
+            return Probability.IC_w_keylen(x, keylen)
+        score, intrpts = self.iguess.sequential(fn, startAt=0, maxdepth=99)
+        # score, intrpts = self.iguess.genetic(fn, topDown=False, maxdepth=4)
+        # score, intrpts = fn(self.iguess.join()), [[]]  # without interrupts
+        for i, skips in enumerate(intrpts):
+            intrpts[i] = self.iguess.to_occurrence_index(skips)
+        return score, intrpts
+
+    @staticmethod
+    def load():
+        if not os.path.isfile(InterruptDB.DB_NAME):
+            return {}
+        ret = {}
+        with open(InterruptDB.DB_NAME, 'r') as f:
+            for line in f.readlines():
+                if line.startswith('#'):
+                    continue
+                line = line.rstrip()
+                name, irpc, score, irp, kl, nums = [x for x in line.split('|')]
+                val = [int(irpc), float(score), int(irp), int(kl)]
+                val.append([int(x) for x in nums.split(',')] if nums else [])
+                try:
+                    ret[name].append(val)
+                except KeyError:
+                    ret[name] = [val]
+        return ret
+
+    @staticmethod
+    def write(fname, score, irpchr, irpmax, keylen, nums):
+        nums = ','.join(map(str, nums))
+        with open(InterruptDB.DB_NAME, 'a') as f:
+            t = f'{fname}|{irpmax}|{score:.5f}|{irpchr}|{keylen}|{nums}\n'
+            f.write(t)
+
+
+def populate_db(irp_chars=range(1), startkeylen=1, maxkeylen=32):
+    oldDB = InterruptDB.load()
+    oldValues = {k: set((a, b, c) for a, _, b, c, _ in v)
+                 for k, v in oldDB.items()}
+    for name in [
+        # '0_welcome', 'jpg107-167', '0_warning', '0_wisdom',
+        'p0-2', 'p3-7', 'p8-14', 'p15-22', 'p23-26',
+        'p27-32', 'p33-39', 'p40-53', 'p54-55'
+    ]:
+        fname = f'pages/{name}.txt'
+        print('load:', fname)
+        for irp in irp_chars:  # interrupt rune index
+            data = load_indices(fname, irp, maxinterrupt=20)
+            db = InterruptDB(data, irp)
+            irp_count = db.stop_count
+            print('analyze interrupt:', irp, 'count:', irp_count)
+            for keylen in range(startkeylen, maxkeylen + 1):
+                if (irp_count, irp, keylen) in oldValues.get(name, []):
+                    print(f'{keylen}: skipped.')
+                    continue
+                score, interrupts = db.make(keylen)
+                print(f'{keylen}: {score:.4f}, solutions: {len(interrupts)}')
+                for x in interrupts:
+                    InterruptDB.write(name, score, irp, irp_count, keylen, x)

RuneSolver.py

@@ -1,6 +1,7 @@
 #!/usr/bin/env python3
 from RuneRunner import RuneRunner
 from RuneText import Rune, RuneText
+import lib as LIB
 
 
 #########################################
@@ -137,3 +138,38 @@ class SequenceSolver(RuneSolver):
 
     def __str__(self):
         return super().__str__() + f'\nf(x): {self.FN}'
+
+
+#########################################
+#  AffineSolver  :  Decrypt runes with an array of (s, t) affine keys
+#########################################
+
+class AffineSolver(RuneSolver):
+    def __init__(self):
+        super().__init__()
+        self.current_key_pos = 0
+        self.reset()
+
+    def reset(self):
+        super().reset()
+        self.KEY_DATA = []  # the key material
+        self.KEY_INVERT = False  # ABCD -> ZYXW
+
+    def run(self, data=None):
+        self.current_key_pos = 0
+        super().run(data=data)
+
+    def rotate_key(self):
+        self.current_key_pos = (self.current_key_pos + 1) % len(self.KEY_DATA)
+
+    def cipher(self, rune, context):
+        r_idx = rune.index
+        if self.KEY_INVERT:
+            r_idx = 28 - r_idx
+        r_idx = LIB.affine_decrypt(r_idx, self.KEY_DATA[self.current_key_pos])
+        self.rotate_key()
+        return Rune(i=r_idx)
+
+    def __str__(self):
+        return super().__str__() + \
+            f'\nkey: {self.KEY_DATA}\nkey invert: {self.KEY_INVERT}'

data/interruptDB.txt

@@ -0,0 +1,665 @@
+# file-name | number of interrupts | score | interrupt-rune (index) | key length | interrupts (starting with index 1 for first occurrence)
+0_welcome|25|1.17420|0|1|
+jpg107-167|5|1.13036|0|1|
+0_warning|1|1.85685|0|1|
+0_wisdom|5|1.52270|0|1|
+p0-2|34|0.98839|0|1|
+p3-7|26|1.00438|0|1|
+p8-14|66|0.99935|0|1|
+p15-22|72|1.00056|0|1|
+p23-26|37|0.99396|0|1|
+p27-32|52|0.99140|0|1|
+p33-39|40|0.99644|0|1|
+p40-53|125|1.00174|0|1|
+p54-55|6|0.98082|0|1|
+0_welcome|14|1.70031|0|8|1,4,5,6,7,11,12,14
+0_welcome|14|1.70031|0|8|1,4,5,6,7,10,12,14
+0_welcome|14|1.70031|0|8|1,3,5,6,7,11,12,14
+0_welcome|14|1.70031|0|8|1,3,5,6,7,10,12,14
+0_welcome|14|1.74248|0|12|4,5,6,8,11,12,14
+0_welcome|14|1.74248|0|12|4,5,6,8,10,12,14
+0_welcome|14|1.74248|0|12|3,5,6,8,11,12,14
+0_welcome|14|1.74248|0|12|3,5,6,8,10,12,14
+jpg107-167|5|1.19072|0|8|1,2,3
+jpg107-167|5|1.25971|0|9|1,4,5
+jpg107-167|5|1.19196|0|10|1,3,4,5
+jpg107-167|5|1.17869|0|11|1,3,4,5
+jpg107-167|5|1.09583|0|12|4
+jpg107-167|5|2.14768|0|13|2,3
+p0-2|20|1.02741|0|1|1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20
+p0-2|20|1.09547|0|2|2,3,5,6,8,10,11,12,14,17,18,19,20
+p0-2|20|1.14150|0|3|1,2,5,7,9,11,14,15,16,17,18,19,20
+p0-2|20|1.13231|0|4|3,4,6,9,11,12,13,14
+p0-2|20|1.16489|0|5|1,2,3,4,5,9,12,13,19
+p0-2|20|1.16355|0|6|1,2,5,7,8,11,14,15,16,17,18,19,20
+p0-2|20|1.26817|0|7|1,3,5,6,7,9,11,13,14,15,17,18,19
+p0-2|20|1.16853|0|8|2,5,6,7,10,14,15,16,17,18,19
+p0-2|20|1.24714|0|9|1,2,3,7,8,13,14,15,16,17
+p0-2|20|1.21659|0|10|1,2,3,4,5,9,12,13,19
+p0-2|20|1.28945|0|11|1,3,5,6,10,11,12,13,14,15,16,17,18,19,20
+p0-2|20|1.29341|0|12|1,2,5,8,9,10,13,14,15,16,18,19,20
+p0-2|20|1.22812|0|13|1,3,4,5,7,8,9,10,11,12,13,14,15,16,19,20
+p0-2|20|1.34456|0|14|1,4,5,6,8,12,13,14,16,17,20
+p0-2|20|1.29400|0|15|1,3,4,5,7,9,13,14,15,16,17
+p0-2|20|1.25527|0|16|1,4,6,7,12,13,14,15,16,17,19,20
+p0-2|20|1.38448|0|17|1,2,5,6,8,9,12,15,16,17,19
+p0-2|20|1.36640|0|18|1,2,5,8,9,10,13,14,15,16,18,19,20
+p0-2|20|1.36640|0|18|1,2,4,8,9,10,13,14,15,16,18,19,20
+p0-2|20|1.27259|0|19|2,4,5,6,7,8,10,11,12,18,19,20
+p0-2|20|1.27259|0|19|2,3,5,6,7,8,9,11,12,18,19,20
+p0-2|20|1.30972|0|20|1,2,3,4,5,9,12,13,17
+p0-2|20|1.36319|0|21|1,4,5,6,7,12,14,15,16,20
+p0-2|20|1.36319|0|21|1,3,4,6,7,12,14,15,16,20
+p0-2|20|1.35038|0|22|1,2,4,5,6,9,10,12
+p0-2|20|1.36594|0|23|1,2,4,5,6,7,8,9,11,13,14,15,16,17,18,19
+p0-2|20|1.37714|0|24|5,7,8,10,13,15,16,17,18,19,20
+p0-2|20|1.37039|0|25|2,3,4,5,6,12,15,18
+p0-2|20|1.33846|0|26|1,2,3,4,5,7,8,9,10,11,13,14,15,16,17,18,20
+p0-2|20|1.32597|0|27|2,3,7,11,12,14,15,16,17
+p0-2|20|1.45607|0|28|2,3,5,6,8,9,11,13,14,15,17,18,20
+p0-2|20|1.49231|0|29|5,7,8,10,11,14,17
+p0-2|20|1.31545|0|30|1,2,7,8,10,11
+p0-2|20|1.40837|0|31|2,3,4,5,6,7,8,12,13,15,18,20
+p0-2|20|1.39740|0|32|1,2,3,4,5,6,7,8,9,10,11,12,13,14
+p3-7|20|1.03220|0|1|1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20
+p3-7|20|1.07427|0|2|1,4,6,7,8,11,13,15,16,18,19,20
+p3-7|20|1.11940|0|3|1,2,3,6,10,11,12,13,14,15,16,17,18,19,20
+p3-7|20|1.08906|0|4|1,4,6,7,8,9,10,11,13,15,16,20
+p3-7|20|1.11979|0|5|1,2,3,4,5,6,9,13,20
+p3-7|20|1.12579|0|6|1,4,6,11,13,15,17,18,19,20
+p3-7|20|1.12094|0|7|1,2,3,7,9,10,11,12,13,20
+p3-7|20|1.14217|0|8|3,4,5,6,7,9,10,14,16,17,20
+p3-7|20|1.20440|0|9|1,2,5,7,12,14,15,16,17,18,19,20
+p3-7|20|1.15763|0|10|3,4,7,8,10,11,12,13,15,16,17,18,19,20
+p3-7|20|1.16279|0|11|2,6,9,11,14,15,16,17,18,19,20
+p3-7|20|1.21542|0|12|1,4,6,11,13,15,17,20
+p3-7|20|1.20188|0|13|4,5,6,7,8,14,17,18,20
+p3-7|20|1.15334|0|14|1,2,4,5,14,16,17,18,19,20
+p3-7|20|1.22557|0|15|1,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20
+p3-7|20|1.24515|0|16|3,4,5,6,7,9,10,13,15,16,20
+p3-7|20|1.19192|0|17|1,2,3,5,8,9,10,11,12,13,15,16,17,18,19,20
+p3-7|20|1.19192|0|17|1,2,3,5,8,9,10,11,12,13,14,16,17,18,19,20
+p3-7|20|1.22136|0|18|1,2,3,5,6,7,9,11,13,15,16,18,19,20
+p3-7|20|1.15375|0|19|2,4,6,7,8,10,13
+p3-7|20|1.23523|0|20|3,4,5,8,9,10,11,16,20
+p3-7|20|1.15873|0|21|1,2,3,7,13,14,15,16,17,18,19
+p3-7|20|1.24170|0|22|1,4,5,9,10,11,12,13,16,20
+p3-7|20|1.28268|0|23|1,2,7,8,9,18,20
+p3-7|20|1.29784|0|24|2,4,5,7,8,9,10,13,16,17
+p3-7|20|1.29831|0|25|4,6,7,8,9,10,12,14,20
+p3-7|20|1.29831|0|25|3,6,7,8,9,10,12,14,20
+p3-7|20|1.34493|0|26|2,3,6,7,8,14,17,18
+p3-7|20|1.31854|0|27|1,2,5,6,8,9,10,11,13,14,17,18,19
+p3-7|20|1.21213|0|28|1,3,4,7,9,12,13,14
+p3-7|20|1.22641|0|29|1,2,3,4,6,7,9,10,11,15,16,17,18,19,20
+p3-7|20|1.33157|0|30|3,4,5,8,9,10,11,15,20
+p3-7|20|1.22996|0|31|1,3,5,7,8,9,12,16,17,18,19
+p3-7|20|1.32281|0|32|2,4,5,6,7,9,13,15,16,17,18,19
+p8-14|20|1.02738|0|1|1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20
+p8-14|20|1.07560|0|2|3,4,7,9,10,12,13,14,15,17,19,20
+p8-14|20|1.07560|0|2|3,4,7,9,10,11,13,14,15,17,19,20
+p8-14|20|1.07481|0|3|1,3,4,5,6,8,9,10,13,14,18,19,20
+p8-14|20|1.10625|0|4|1,2,4,6,8,9,12,13,14,16,17,18,19,20
+p8-14|20|1.10625|0|4|1,2,4,6,8,9,11,13,14,16,17,18,19,20
+p8-14|20|1.12535|0|5|2,3,6,7,10,15,20
+p8-14|20|1.12321|0|6|3,4,5,6,8,9,10,12,13,18,19,20
+p8-14|20|1.12321|0|6|3,4,5,6,8,9,10,12,13,17,19,20
+p8-14|20|1.12321|0|6|3,4,5,6,8,9,10,11,13,18,19,20
+p8-14|20|1.12321|0|6|3,4,5,6,8,9,10,11,13,17,19,20
+p8-14|20|1.15344|0|7|1,3,7,8,12,13,18
+p8-14|20|1.15344|0|7|1,3,7,8,11,13,18
+p8-14|20|1.13589|0|8|1,3,4,6,7,9,10,12,13,14,15,16,18,20
+p8-14|20|1.13589|0|8|1,3,4,6,7,9,10,11,13,14,15,16,18,20
+p8-14|20|1.10142|0|9|3,4,5,6,7,8,12,13,15,16,19,20
+p8-14|20|1.10142|0|9|3,4,5,6,7,8,11,13,15,16,19,20
+p8-14|20|1.16123|0|10|1,2,3,9,10,12,15
+p8-14|20|1.16123|0|10|1,2,3,9,10,11,15
+p8-14|20|1.20399|0|11|1,2,5,6,7,9,10,11,12,16,18,19,20
+p8-14|20|1.16824|0|12|1,3,5,7,8,9,10,13,14,16,17,18,19
+p8-14|20|1.16412|0|13|1,5,7,9,10,11,12,13,14,15,16,17,18,19,20
+p8-14|20|1.21675|0|14|1,3,4,8,11,12,18
+p8-14|20|1.16470|0|15|2,3,4,6,12,14,19,20
+p8-14|20|1.16470|0|15|2,3,4,6,11,14,19,20
+p8-14|20|1.17824|0|16|1,2,4,6,7,9,10,11,12,14,19
+p8-14|20|1.26731|0|17|1,2,4,5,7,8,9,10,11,12,15,18,19
+p8-14|20|1.26731|0|17|1,2,3,5,7,8,9,10,11,12,15,18,19
+p8-14|20|1.22772|0|18|2,3,4,5,6,7,8,12,13,15,16,20
+p8-14|20|1.22772|0|18|2,3,4,5,6,7,8,11,13,15,16,20
+p8-14|20|1.15869|0|19|3,7,10,11,12,13,14,15,20
+p8-14|20|1.22905|0|20|2,4,10,11,12,16
+p8-14|20|1.24550|0|21|1,2,4,5,6,7,8,9,10,11,12,13,14,15,17,18,19,20
+p8-14|20|1.31938|0|22|1,3,4,5,7,9,10,13,14,17,18,20
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+p27-32|20|1.15254|1|10|1,2,3,4,5,7,8,9,10,11,12,13,14,17,18,19
+p27-32|20|1.18100|1|11|1,2,3,5,6,7,8,11,12,15,16,17,18,19,20
+p27-32|20|1.19107|1|12|1,2,3,7,8,9,10,11,12,13,14,15,16,17,18,20
+p27-32|20|1.21747|1|13|3,4,7,8,9,10,12,14,18,19,20
+p27-32|20|1.24567|1|14|2,5,6,8,9,10,11,12,13,14,15,16,17,18,20
+p27-32|20|1.11538|1|15|1,2,3,4,5,7,8,9,10,11,12,13,14,15,16,17,18,20
+p27-32|20|1.14359|1|16|1,2,4,5,11,13,14,15,16,17,18
+p27-32|20|1.16115|1|17|1,6,9,10,11,12,13,14,15,16,18
+p27-32|20|1.18845|1|18|2,4,5,6,7,9,10,11,12,13,14,15,16,17,18,20
+p27-32|20|1.18845|1|18|2,4,5,6,7,9,10,11,12,13,14,15,16,17,18,19
+p27-32|20|1.27521|1|19|1,3,6,7,8,9,10,11,12,13,14,15,17,20
+p27-32|20|1.27521|1|19|1,3,6,7,8,9,10,11,12,13,14,15,17,19
+p27-32|20|1.21024|1|20|1,2,3,8,9,10,11,17,18,19
+p27-32|20|1.24263|1|21|1,2,9,10,12,13,19
+p27-32|20|1.20659|1|22|4,5,11,12,13,14,17,18,19,20
+p27-32|20|1.23921|1|23|1,5,9,10,11,12,14,17,18
+p27-32|20|1.24844|1|24|1,2,3,4,5,6,7,10,12,13,14,15,16,20
+p27-32|20|1.27997|1|25|2,3,4,6,9,10,11,12,13,16,19
+p27-32|20|1.29341|1|26|1,2,3,4,5,7,8,9,10,13,14,19
+p27-32|20|1.18162|1|27|4,8,11,13,14,16,17,18,19
+p27-32|20|1.28366|1|28|2,3,5,7,8,9,10,12,17
+p27-32|20|1.31955|1|29|1,2,5,6,7,8,10,12,13,14,16,17,18,19,20
+p27-32|20|1.23462|1|30|2,3,9,10,12,13,17
+p27-32|20|1.26810|1|31|1,2,8,9,10,13,14,15,18,20
+p27-32|20|1.18152|1|32|1,4,5,11,14,15,16,20
+p33-39|20|1.01381|1|1|1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20
+p33-39|20|1.09557|1|2|1,2,4,5,6,7,9,10,12,15,16,17,18
+p33-39|20|1.09275|1|3|1,5,6,8,11,18,19
+p33-39|20|1.13624|1|4|1,2,6,7,8,10,12,15,16,17,18,20
+p33-39|20|1.08172|1|5|4,6,10,12,14,15,17,18,19
+p33-39|20|1.15967|1|6|4,5,6,7,11,14,18,20
+p33-39|20|1.16243|1|7|1,3,4,9,11,14,15,16
+p33-39|20|1.22648|1|8|1,2,6,7,9,10,12,15,16,17,18,20
+p33-39|20|1.18986|1|9|1,2,11,14,15,17,18,19
+p33-39|20|1.16943|1|10|1,2,3,11,12,13,15,16,17,18,19
+p33-39|20|1.17632|1|11|1,2,3,4,5,7,9,13,15,18,20
+p33-39|20|1.18370|1|12|4,5,6,7,11,12,18,20
+p33-39|20|1.14712|1|13|2,5,8,10,14,16,17,18
+p33-39|20|1.24233|1|14|1,10,11,14,15,16,17,18,20
+p33-39|20|1.17429|1|15|1,2,5,6,8,11,14,16,17,18,19
+p33-39|20|1.34554|1|16|1,2,3,5,6,8,10,13,14,15,16,18,19,20
+p33-39|20|1.28271|1|17|1,3,4,5,6,7,9,10,11,12,13,15,16,17,18,19,20
+p33-39|20|1.29844|1|18|1,2,4,5,6,7,9,14,18,20
+p33-39|20|1.27584|1|19|1,3,7,12,13,14,19
+p33-39|20|1.21043|1|20|3,4,9,10,18,20
+p33-39|20|1.25255|1|21|1,3,4,7,12,13,15,16,19
+p33-39|20|1.28908|1|22|1,2,4,5,6,10,19
+p33-39|20|1.35883|1|23|1,3,7,8,12,14,15,16,17
+p33-39|20|1.38822|1|24|4,5,6,8,9,13,18
+p33-39|20|1.30788|1|25|1,2,3,7,8,9,11,12,13,20
+p33-39|20|1.24277|1|26|1,2,3,4,6,7,9,10,11,12,13,14,16,17,19,20
+p33-39|20|1.25221|1|27|2,3,4,5,6,9,12,19,20
+p33-39|20|1.32341|1|28|1,3,10,11,12,13,14,15,16,17,19,20
+p33-39|20|1.28627|1|29|1,2,5,6,8,13,15
+p33-39|20|1.29810|1|30|1,2,3,4,6,9,14,15,16,17,19,20
+p33-39|20|1.38318|1|31|4,5,6,7,8,15,16,17,18,20
+p33-39|20|1.49183|1|32|1,2,3,7,8,9,10,14,15,16,17,18,19,20
+p40-53|20|1.02764|1|1|1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20
+p40-53|20|1.08373|1|2|2,3,4,6,7,10,12,14,15,16,20
+p40-53|20|1.12215|1|3|1,2,4,6,7,8,9,10,11,12,14,18,19,20
+p40-53|20|1.10269|1|4|1,2,3,4,5,6,9,10,11,12,14,15,16,17,18,20
+p40-53|20|1.11896|1|5|2,5,6,7,9,10,11,12,14,16,17,18,20
+p40-53|20|1.16054|1|6|1,2,3,9,10,11,12,14,15,16,17,18,19
+p40-53|20|1.09604|1|7|1,2,3,4,5,6,9,10,13,17,20
+p40-53|20|1.17927|1|8|1,2,4,5,6,8,9,10,11,14,15,16,17,18,20
+p40-53|20|1.16730|1|9|1,2,3,6,10,11,12,14,18,19,20
+p40-53|20|1.18102|1|10|1,2,3,4,5,6,11,12,14,17,18,19,20
+p40-53|20|1.16857|1|11|2,5,6,7,8,9,13,14,18
+p40-53|20|1.23414|1|12|1,2,5,6,7,8,9,10,11,12,14,15,16,17,18,19,20
+p40-53|20|1.22106|1|13|1,2,3,4,5,11,12,15,16,19
+p40-53|20|1.15198|1|14|1,3,4,10,12,14,16,17,20
+p40-53|20|1.20292|1|15|1,2,3,4,13,14,15,16,17,18,20
+p40-53|20|1.26262|1|16|1,2,3,4,5,7,12,14,16,17,18,20
+p40-53|20|1.09966|1|17|1,3,4,5,6,7,8,10,11,13,14,16,17,18
+p40-53|20|1.25590|1|18|1,3,4,6,9,10,13,14,15,16,17,18,19
+p40-53|20|1.21757|1|19|2,3,4,5,6,7,9,11,12,13,15,16,17,18,19,20
+p40-53|20|1.22286|1|20|4,6,7,8,9,10,11,12,15,16,17,18,20
+p40-53|20|1.19148|1|21|4,12,14,16,18
+p40-53|20|1.29431|1|22|2,3,5,6,8,10,13,14,15,16,17,18,19
+p40-53|20|1.31605|1|23|2,6,8,13,15,19
+p40-53|20|1.40027|1|24|1,3,5,6,7,8,9,10,11,12,14,15,16,17,18,19
+p40-53|20|1.26810|1|25|1,2,3,4,11,12,14,16,17,18,20
+p40-53|20|1.34059|1|26|1,2,3,4,5,10,12,13,15,16,17,20
+p40-53|20|1.29807|1|27|2,3,5,7,8,9,10,11,12,13,14,15,16,17,19
+p40-53|20|1.20564|1|28|1,2,3,4,9,12,14,16,17,18
+p40-53|20|1.23233|1|29|1,4,6,7,14,15,16,17,18
+p40-53|20|1.27193|1|30|1,2,3,9,10,11,12,15,18,19
+p40-53|20|1.26810|1|31|1,3,6,7,8,9,10,11,17,18,19
+p40-53|20|1.38821|1|32|1,2,3,5,6,7,14,15,16,17,18,20
+p54-55|11|1.01866|1|1|1,2,3,4,5,6,7,8,9,10,11
+p54-55|11|1.07166|1|2|2,3,5,7,10,11
+p54-55|11|1.06110|1|3|1,2,6,8,9,10,11
+p54-55|11|1.11820|1|4|2,3,4,5,6,7,9,11
+p54-55|11|1.11955|1|5|2,3,6,8
+p54-55|11|1.12101|1|6|2,3,5,7,10,11
+p54-55|11|1.14227|1|7|1,2,3,4,6,7,8,10,11
+p54-55|11|1.28396|1|8|2,3,9,11
+p54-55|11|1.18356|1|9|1,2,3,4,5,6,8,9,10,11
+p54-55|11|1.11161|1|10|2,3,6,7,10,11
+p54-55|11|1.16260|1|11|1,2,5,7,8,9
+p54-55|11|1.24985|1|12|2,3,5,6,9,11
+p54-55|11|1.34757|1|13|1,2,3,4,8,11
+p54-55|11|1.24913|1|14|1,2,4,5,6,7,8,10,11
+p54-55|11|1.20700|1|15|2,5,6,7,11
+p54-55|11|1.46696|1|16|2,4,9
+p54-55|11|1.38533|1|17|1,3,4,6,7,10,11
+p54-55|11|1.22729|1|18|2,7,8,9,10,11
+p54-55|11|1.34825|1|19|2,5,7,8,9,10
+p54-55|11|1.25494|1|20|1,4,5,6,7,8
+p54-55|11|1.25494|1|20|1,4,5,6,7,8,11
+p54-55|11|1.43053|1|21|5,8,9,10,11
+p54-55|11|1.36405|1|22|1,2,5,7,8,9
+p54-55|11|1.26318|1|23|2,6,8,11
+p54-55|11|1.26318|1|23|2,6,7,11
+p54-55|11|1.46042|1|24|6,8,10,11
+p54-55|11|1.22895|1|25|1,3,5,6,7,9,10
+p54-55|11|1.43648|1|26|1,2,3,4,8,11
+p54-55|11|1.25634|1|27|3,8,11
+p54-55|11|1.25541|1|28|2,4,5,6,7,8
+p54-55|11|1.56364|1|29|1,2,3,5,6,7,8,9,10,11
+p54-55|11|1.34943|1|30|1,3,6,7
+p54-55|11|1.34943|1|30|1,2,6,7
+p54-55|11|1.34606|1|31|1,2,4,5,6,7,10
+p54-55|11|1.59601|1|32|1,2,3,10

lib.py

@@ -1,6 +1,8 @@
 #!/usr/bin/env python3
 import math
 
+AFFINE_INV = None
+
 
 # yes it will report 2,3,5 as non-prime
 # though why add a check if it will never be tested anyway
@@ -70,3 +72,34 @@ def elliptic_curve(x, a, b, r):
     if y is None:
         return None, None
     return y, -y % r
+
+
+def affine_inverse(s, n=29):
+    def fn(s, n):
+        g = [n, s]
+        u = [1, 0]
+        v = [0, 1]
+        y = [None]
+        i = 1
+        while g[i] != 0:
+            y.append(g[i - 1] // g[i])
+            g.append(g[i - 1] - y[i] * g[i])
+            u.append(u[i - 1] - y[i] * u[i])
+            v.append(v[i - 1] - y[i] * v[i])
+            i += 1
+        return v[-2] % n
+
+    global AFFINE_INV
+    if AFFINE_INV is None:
+        AFFINE_INV = [fn(x, n) for x in range(n)]
+    return AFFINE_INV[s]
+
+
+def affine_decrypt(x, key, n=29):  # key: (s, t)
+    return ((x - key[1]) * affine_inverse(key[0], n)) % n
+
+
+# alphabet = 'ABCDEFGHIJKLMNOPQRSTUVWXYZ'
+# cipher = 'YDIDWYASDDJVAPJMMBIASDTJVAMD'
+# indices = [affine_decrypt(alphabet.index(x), (5, 9), 26) for x in cipher]
+# print(''.join(alphabet[x] for x in indices))

probability.py

@@ -1,117 +1,55 @@
 #!/usr/bin/env python3
-import re
+from RuneSolver import VigenereSolver, AffineSolver
-from RuneSolver import VigenereSolver
+from HeuristicSearch import GuessVigenere, GuessAffine, SearchInterrupt
-from RuneText import RuneText
+from HeuristicLib import load_indices, Probability
-from NGrams import NGrams
+from InterruptDB import InterruptDB
-from HeuristicSearch import GuessVigenere, SearchInterrupt
 # from FailedAttempts import NGramShifter
 
 RUNES = 'ᚠᚢᚦᚩᚱᚳᚷᚹᚻᚾᛁᛄᛇᛈᛉᛋᛏᛒᛖᛗᛚᛝᛟᛞᚪᚫᚣᛡᛠ'
-RCOUNT = len(RUNES)
-ORG_INTERRUPT = 'ᚠ'
-INV_INTERRUPT = RUNES.index(ORG_INTERRUPT)
 INVERT = False
-if INVERT:
+MIN_SCORE = 1.4
-    INV_INTERRUPT = 28 - INV_INTERRUPT
-re_norune = re.compile('[^' + RUNES + ']')
 
-
+db = InterruptDB.load()
-def load_data(fname):
+session_files = []
-    fname = 'pages/{}.txt'.format(fname)
-    print()
-    print('loading file:', fname)
-    with open(fname, 'r') as f:
-        data = RuneText(re_norune.sub('', f.read()))['index']
-    if INVERT:
-        data = [28 - x for x in data]
-    return data
-
-
-#########################################
-#  Probability  :  Count runes and simple frequency analysis
-#########################################
-
-class Probability(object):
-    def __init__(self, numstream):
-        self.prob = [0] * RCOUNT
-        for r in numstream:
-            self.prob[r] += 1
-        self.N = len(numstream)
-
-    def IC(self):
-        X = sum(x * (x - 1) for x in self.prob)
-        return X / ((self.N * (self.N - 1)) / 29)
-
-    def friedman(self):
-        return (K_p - K_r) / (self.IC() - K_r)
-
-    def similarity(self):
-        probs = Probability.normalized(self.prob)
-        return sum((x - y) ** 2 for x, y in zip(PROB_NORM, probs))
-
-    @staticmethod
-    def normalized(int_prob):
-        total = sum(int_prob)
-        return [x / total for x in int_prob]  # math.log(x / total, 10)
-
-    @staticmethod
-    def IC_w_keylen(nums, keylen):
-        val = sum(Probability(nums[x::keylen]).IC() for x in range(keylen))
-        return val / keylen
 
 
 #########################################
 #  Perform heuristic search on the keylength, interrupts, and key
 #########################################
 
-def enum_keylengths(nums, fn_interrupt, fn_keyguess, kmin=1, kmax=32):
+def break_cipher(fname, candidates, solver, key_fn):
-    best_s = 0
-    best_kl = 0
-    iguess = SearchInterrupt(nums, INV_INTERRUPT)
-    print('interrupt:', ORG_INTERRUPT, 'count:', len(iguess.stops))
-    for kl in range(kmin, kmax + 1):
-        score, intrpts = fn_interrupt(kl, iguess)
-        print('{} {:.4f}'.format(kl, score))
-        key_guess = []
-        for i, skips in enumerate(intrpts):
-            key = fn_keyguess(kl, iguess.join(skips))
-            yield kl, score, i, skips, key
-            key_guess.append(key)
-            intrpts[i] = iguess.to_occurrence_index(skips)
-        print('  skip:', intrpts)
-        print('  key:', key_guess)
-        if score > best_s:
-            best_s = score
-            best_kl = kl
-    print(f'best estimate: keylength: {best_kl}, score: {best_s:.4f}')
-
-
-def fn_break_vigenere(fname, data):
     def fn_similarity(x):
         return Probability(x).similarity()
 
-    def fn_irp(kl, iguess):
+    filename = f'pages/{fname}.txt'
-        def fn_IoC(x):
+    slvr = solver()
-            return Probability.IC_w_keylen(x, kl)
+    slvr.input.load(file=filename)
-        return iguess.sequential(fn_IoC, startAt=0, maxdepth=9)
-        # return iguess.genetic(fn_IoC, topDown=False, maxdepth=4)
-        # return fn_IoC(iguess.join()), [[]]  # without interrupts
-
-    def fn_key(kl, data):
-        return GuessVigenere(data).guess(kl, fn_similarity)
-
-    slvr = VigenereSolver()
-    slvr.input.load(file=f'pages/{fname}.txt')
     slvr.output.QUIET = True
     slvr.output.COLORS = False
-    slvr.INTERRUPT = ORG_INTERRUPT
     slvr.KEY_INVERT = INVERT
-    for kl, score, i, skips, key in enum_keylengths(data, fn_irp, fn_key,
+    for irp_count, score, irp, kl, skips in candidates:
-                                                    kmin=1, kmax=32):
+        data = load_indices(filename, irp, maxinterrupt=irp_count)
-        outfile = f'out/{fname}.{score:.3f}.{kl}.{i}.txt'
+        if INVERT:
+            data = [28 - x for x in data]
+        iguess = SearchInterrupt(data, (28 - irp) if INVERT else irp)
+        print('score: {}, interrupt: {}, count: {}, solver: {}'.format(
+            score, RUNES[irp], len(iguess.stops), key_fn.__name__))
+        testcase = iguess.join(iguess.from_occurrence_index(skips))
+
+        key = key_fn(testcase).guess(kl, fn_similarity)
+        print('  skip:', skips)
+        print('  key:', key)
+        txtname = f'{key_fn.__name__}.{score:.3f}_{fname}_{kl}.{irp}'
+        if INVERT:
+            txtname += '.inv'
+        while txtname in session_files:
+            txtname += '.'
+        session_files.append(txtname)
+        outfile = f'out/{txtname}.txt'
         with open(outfile, 'w') as f:
             f.write(f'{kl}, {score:.4f}, {key}, {skips}\n')
         slvr.output.file_output = outfile
+        slvr.INTERRUPT = RUNES[irp]
         slvr.INTERRUPT_POS = skips
         slvr.KEY_DATA = key
         slvr.run()
@@ -121,13 +59,6 @@ def fn_break_vigenere(fname, data):
 #  main
 #########################################
 
-PROB_INT = [0] * RCOUNT
-for k, v in NGrams.load().items():
-    PROB_INT[RUNES.index(k)] = v
-PROB_NORM = Probability.normalized(PROB_INT)
-K_r = 1 / 29   # 0.034482758620689655
-K_p = sum(x ** 2 for x in PROB_INT)  # 0.06116195419412538
-
 for fname in [
     # '0_welcome',  # V8
     # 'jpg107-167',  # V13
@@ -143,6 +74,13 @@ for fname in [
     # 'p40-53',  # ???
     'p54-55',  # ???
 ]:
-    data = load_data(fname)
+    # NGramShifter().guess(data, 'ᚠ')
-    # NGramShifter().guess(data, RUNES[INV_INTERRUPT])
+    print()
-    fn_break_vigenere(fname, data)
+    print(f'loading file: pages/{fname}.txt')
+    candidates = [x for x in db[fname] if x[1] >= MIN_SCORE]
+    if not candidates:
+        maxscore = max(x[1] for x in db[fname])
+        print('No candidates. Highest score is only', maxscore)
+        continue
+    break_cipher(fname, candidates, AffineSolver, GuessAffine)
+    break_cipher(fname, candidates, VigenereSolver, GuessVigenere)