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+Also attempts to break messages that use a …" />
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+<article id="content">
+<header>
+<h1 class="title">Module <code>szyfrow.autokey</code></h1>
+</header>
+<section id="section-intro">
+<p>Enciphering and deciphering using the <a href="https://en.wikipedia.org/wiki/Autokey_cipher">Autokey cipher</a>.
+Also attempts to break messages that use a Autokey cipher.</p>
+<details class="source">
+<summary>
+<span>Expand source code</span>
+</summary>
+<pre><code class="python">"""Enciphering and deciphering using the [Autokey cipher](https://en.wikipedia.org/wiki/Autokey_cipher).
+Also attempts to break messages that use a Autokey cipher.
+"""
+import math
+import multiprocessing
+from szyfrow.support.utilities import *
+from szyfrow.support.language_models import *
+from szyfrow.caesar import caesar_encipher_letter, caesar_decipher_letter
+
+
+def autokey_encipher(message, keyword):
+ """Encipher with the autokey cipher
+
+ >>> autokey_encipher('meetatthefountain', 'kilt')
+ 'wmpmmxxaeyhbryoca'
+ """
+ shifts = [pos(l) for l in keyword + message]
+ pairs = zip(message, shifts)
+ return cat([caesar_encipher_letter(l, k) for l, k in pairs])
+
+def autokey_decipher(ciphertext, keyword):
+ """Decipher with the autokey cipher
+
+ >>> autokey_decipher('wmpmmxxaeyhbryoca', 'kilt')
+ 'meetatthefountain'
+ """
+ plaintext = []
+ keys = list(keyword)
+ for c in ciphertext:
+ plaintext_letter = caesar_decipher_letter(c, pos(keys[0]))
+ plaintext += [plaintext_letter]
+ keys = keys[1:] + [plaintext_letter]
+ return cat(plaintext)
+
+
+def autokey_sa_break( message
+ , min_keylength=2
+ , max_keylength=20
+ , workers=10
+ , initial_temperature=200
+ , max_iterations=20000
+ , fitness=Pletters
+ , chunksize=1
+ , result_count=1
+ ):
+ """Break an autokey cipher by simulated annealing
+ """
+ worker_args = []
+ ciphertext = sanitise(message)
+ for keylength in range(min_keylength, max_keylength+1):
+ for i in range(workers):
+ key = cat(random.choice(string.ascii_lowercase) for _ in range(keylength))
+ worker_args.append((ciphertext, key,
+ initial_temperature, max_iterations, fitness))
+
+ with multiprocessing.Pool() as pool:
+ breaks = pool.starmap(autokey_sa_break_worker,
+ worker_args, chunksize)
+ if result_count <= 1:
+ return max(breaks, key=lambda k: k[1])
+ else:
+ return sorted(set(breaks), key=lambda k: k[1], reverse=True)[:result_count]
+
+
+def autokey_sa_break_worker(message, key,
+ t0, max_iterations, fitness):
+ temperature = t0
+ dt = t0 / (0.9 * max_iterations)
+
+ plaintext = autokey_decipher(message, key)
+ current_fitness = fitness(plaintext)
+ current_key = key
+
+ best_key = current_key
+ best_fitness = current_fitness
+ best_plaintext = plaintext
+
+ # print('starting for', max_iterations)
+ for i in range(max_iterations):
+ swap_pos = random.randrange(len(current_key))
+ swap_char = random.choice(string.ascii_lowercase)
+
+ new_key = current_key[:swap_pos] + swap_char + current_key[swap_pos+1:]
+
+ plaintext = autokey_decipher(message, new_key)
+ new_fitness = fitness(plaintext)
+ try:
+ sa_chance = math.exp((new_fitness - current_fitness) / temperature)
+ except (OverflowError, ZeroDivisionError):
+ # print('exception triggered: new_fit {}, current_fit {}, temp {}'.format(new_fitness, current_fitness, temperature))
+ sa_chance = 0
+ if (new_fitness > current_fitness or random.random() < sa_chance):
+ current_fitness = new_fitness
+ current_key = new_key
+
+ if current_fitness > best_fitness:
+ best_key = current_key
+ best_fitness = current_fitness
+ best_plaintext = plaintext
+
+ temperature = max(temperature - dt, 0.001)
+
+# print(best_key, best_fitness, best_plaintext[:70])
+ return best_key, best_fitness # current_alphabet, current_fitness
+
+if __name__ == "__main__":
+ import doctest</code></pre>
+</details>
+</section>
+<section>
+</section>
+<section>
+</section>
+<section>
+<h2 class="section-title" id="header-functions">Functions</h2>
+<dl>
+<dt id="szyfrow.autokey.autokey_decipher"><code class="name flex">
+<span>def <span class="ident">autokey_decipher</span></span>(<span>ciphertext, keyword)</span>
+</code></dt>
+<dd>
+<div class="desc"><p>Decipher with the autokey cipher</p>
+<pre><code class="language-python-repl">>>> autokey_decipher('wmpmmxxaeyhbryoca', 'kilt')
+'meetatthefountain'
+</code></pre></div>
+<details class="source">
+<summary>
+<span>Expand source code</span>
+</summary>
+<pre><code class="python">def autokey_decipher(ciphertext, keyword):
+ """Decipher with the autokey cipher
+
+ >>> autokey_decipher('wmpmmxxaeyhbryoca', 'kilt')
+ 'meetatthefountain'
+ """
+ plaintext = []
+ keys = list(keyword)
+ for c in ciphertext:
+ plaintext_letter = caesar_decipher_letter(c, pos(keys[0]))
+ plaintext += [plaintext_letter]
+ keys = keys[1:] + [plaintext_letter]
+ return cat(plaintext)</code></pre>
+</details>
+</dd>
+<dt id="szyfrow.autokey.autokey_encipher"><code class="name flex">
+<span>def <span class="ident">autokey_encipher</span></span>(<span>message, keyword)</span>
+</code></dt>
+<dd>
+<div class="desc"><p>Encipher with the autokey cipher</p>
+<pre><code class="language-python-repl">>>> autokey_encipher('meetatthefountain', 'kilt')
+'wmpmmxxaeyhbryoca'
+</code></pre></div>
+<details class="source">
+<summary>
+<span>Expand source code</span>
+</summary>
+<pre><code class="python">def autokey_encipher(message, keyword):
+ """Encipher with the autokey cipher
+
+ >>> autokey_encipher('meetatthefountain', 'kilt')
+ 'wmpmmxxaeyhbryoca'
+ """
+ shifts = [pos(l) for l in keyword + message]
+ pairs = zip(message, shifts)
+ return cat([caesar_encipher_letter(l, k) for l, k in pairs])</code></pre>
+</details>
+</dd>
+<dt id="szyfrow.autokey.autokey_sa_break"><code class="name flex">
+<span>def <span class="ident">autokey_sa_break</span></span>(<span>message, min_keylength=2, max_keylength=20, workers=10, initial_temperature=200, max_iterations=20000, fitness=<function Pletters>, chunksize=1, result_count=1)</span>
+</code></dt>
+<dd>
+<div class="desc"><p>Break an autokey cipher by simulated annealing</p></div>
+<details class="source">
+<summary>
+<span>Expand source code</span>
+</summary>
+<pre><code class="python">def autokey_sa_break( message
+ , min_keylength=2
+ , max_keylength=20
+ , workers=10
+ , initial_temperature=200
+ , max_iterations=20000
+ , fitness=Pletters
+ , chunksize=1
+ , result_count=1
+ ):
+ """Break an autokey cipher by simulated annealing
+ """
+ worker_args = []
+ ciphertext = sanitise(message)
+ for keylength in range(min_keylength, max_keylength+1):
+ for i in range(workers):
+ key = cat(random.choice(string.ascii_lowercase) for _ in range(keylength))
+ worker_args.append((ciphertext, key,
+ initial_temperature, max_iterations, fitness))
+
+ with multiprocessing.Pool() as pool:
+ breaks = pool.starmap(autokey_sa_break_worker,
+ worker_args, chunksize)
+ if result_count <= 1:
+ return max(breaks, key=lambda k: k[1])
+ else:
+ return sorted(set(breaks), key=lambda k: k[1], reverse=True)[:result_count]</code></pre>
+</details>
+</dd>
+<dt id="szyfrow.autokey.autokey_sa_break_worker"><code class="name flex">
+<span>def <span class="ident">autokey_sa_break_worker</span></span>(<span>message, key, t0, max_iterations, fitness)</span>
+</code></dt>
+<dd>
+<div class="desc"></div>
+<details class="source">
+<summary>
+<span>Expand source code</span>
+</summary>
+<pre><code class="python">def autokey_sa_break_worker(message, key,
+ t0, max_iterations, fitness):
+ temperature = t0
+ dt = t0 / (0.9 * max_iterations)
+
+ plaintext = autokey_decipher(message, key)
+ current_fitness = fitness(plaintext)
+ current_key = key
+
+ best_key = current_key
+ best_fitness = current_fitness
+ best_plaintext = plaintext
+
+ # print('starting for', max_iterations)
+ for i in range(max_iterations):
+ swap_pos = random.randrange(len(current_key))
+ swap_char = random.choice(string.ascii_lowercase)
+
+ new_key = current_key[:swap_pos] + swap_char + current_key[swap_pos+1:]
+
+ plaintext = autokey_decipher(message, new_key)
+ new_fitness = fitness(plaintext)
+ try:
+ sa_chance = math.exp((new_fitness - current_fitness) / temperature)
+ except (OverflowError, ZeroDivisionError):
+ # print('exception triggered: new_fit {}, current_fit {}, temp {}'.format(new_fitness, current_fitness, temperature))
+ sa_chance = 0
+ if (new_fitness > current_fitness or random.random() < sa_chance):
+ current_fitness = new_fitness
+ current_key = new_key
+
+ if current_fitness > best_fitness:
+ best_key = current_key
+ best_fitness = current_fitness
+ best_plaintext = plaintext
+
+ temperature = max(temperature - dt, 0.001)
+
+# print(best_key, best_fitness, best_plaintext[:70])
+ return best_key, best_fitness # current_alphabet, current_fitness</code></pre>
+</details>
+</dd>
+<dt id="szyfrow.autokey.cat"><code class="name flex">
+<span>def <span class="ident">cat</span></span>(<span>iterable, /)</span>
+</code></dt>
+<dd>
+<div class="desc"><p>Concatenate any number of strings.</p>
+<p>The string whose method is called is inserted in between each given string.
+The result is returned as a new string.</p>
+<p>Example: '.'.join(['ab', 'pq', 'rs']) -> 'ab.pq.rs'</p></div>
+</dd>
+<dt id="szyfrow.autokey.lcat"><code class="name flex">
+<span>def <span class="ident">lcat</span></span>(<span>iterable, /)</span>
+</code></dt>
+<dd>
+<div class="desc"><p>Concatenate any number of strings.</p>
+<p>The string whose method is called is inserted in between each given string.
+The result is returned as a new string.</p>
+<p>Example: '.'.join(['ab', 'pq', 'rs']) -> 'ab.pq.rs'</p></div>
+</dd>
+<dt id="szyfrow.autokey.wcat"><code class="name flex">
+<span>def <span class="ident">wcat</span></span>(<span>iterable, /)</span>
+</code></dt>
+<dd>
+<div class="desc"><p>Concatenate any number of strings.</p>
+<p>The string whose method is called is inserted in between each given string.
+The result is returned as a new string.</p>
+<p>Example: '.'.join(['ab', 'pq', 'rs']) -> 'ab.pq.rs'</p></div>
+</dd>
+</dl>
+</section>
+<section>
+</section>
+</article>
+<nav id="sidebar">
+<h1>Index</h1>
+<div class="toc">
+<ul></ul>
+</div>
+<ul id="index">
+<li><h3>Super-module</h3>
+<ul>
+<li><code><a title="szyfrow" href="index.html">szyfrow</a></code></li>
+</ul>
+</li>
+<li><h3><a href="#header-functions">Functions</a></h3>
+<ul class="">
+<li><code><a title="szyfrow.autokey.autokey_decipher" href="#szyfrow.autokey.autokey_decipher">autokey_decipher</a></code></li>
+<li><code><a title="szyfrow.autokey.autokey_encipher" href="#szyfrow.autokey.autokey_encipher">autokey_encipher</a></code></li>
+<li><code><a title="szyfrow.autokey.autokey_sa_break" href="#szyfrow.autokey.autokey_sa_break">autokey_sa_break</a></code></li>
+<li><code><a title="szyfrow.autokey.autokey_sa_break_worker" href="#szyfrow.autokey.autokey_sa_break_worker">autokey_sa_break_worker</a></code></li>
+<li><code><a title="szyfrow.autokey.cat" href="#szyfrow.autokey.cat">cat</a></code></li>
+<li><code><a title="szyfrow.autokey.lcat" href="#szyfrow.autokey.lcat">lcat</a></code></li>
+<li><code><a title="szyfrow.autokey.wcat" href="#szyfrow.autokey.wcat">wcat</a></code></li>
+</ul>
+</li>
+</ul>
+</nav>
+</main>
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+<p>Generated by <a href="https://pdoc3.github.io/pdoc"><cite>pdoc</cite> 0.9.2</a>.</p>
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