# Szyfow ciphers
-Various tools for encipher, deciphering, and breaking simple (manual) ciphers.
+Various tools for enciphering, deciphering, and breaking simple (manual) ciphers.
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+Also attempts to break messages that use an …" />
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+<article id="content">
+<header>
+<h1 class="title">Module <code>szyfrow.affine</code></h1>
+</header>
+<section id="section-intro">
+<p>Enciphering and deciphering using the <a href="https://en.wikipedia.org/wiki/Affine_cipher">affine cipher</a>.
+Also attempts to break messages that use an affine cipher.</p>
+<p>The affine cipher operates one letter at a time. It converts each letter to a
+number, then enciphers that number using a multiplier and a number. The result
+is taken mod 26 and converted back into a letter.</p>
+<p>For a multiplier <em>m</em> and adder <em>a</em>, a letter converted to number <em>x</em> is
+enciphered as <em>E(x)</em> = (<em>m</em> <em>x</em> + <em>a</em>) mod 26. Deciphering uses the modular
+inverse of <em>m</em>, <em>m</em>⁻¹, so that <em>D(x)</em> = <em>m</em>⁻¹ (<em>x</em> - <em>a</em>) mod 26.</p>
+<p>If <code>one_based</code> is <code>True</code>, the conversion between letters and numbers maps
+'a' → 1, 'b' → 2, … 'z'→ 26 and the <code>mod</code> function is adjusted to keep
+numbers in this range during enciphering and deciphering. If <code>one_based</code> is
+<code>False</code>, the conversion maps 'a' → 0, 'b' → 1, … 'z'→ 25 and <code>mod</code> behaves
+normally.</p>
+<details class="source">
+<summary>
+<span>Expand source code</span>
+</summary>
+<pre><code class="python">"""Enciphering and deciphering using the [affine cipher](https://en.wikipedia.org/wiki/Affine_cipher).
+Also attempts to break messages that use an affine cipher.
+
+The affine cipher operates one letter at a time. It converts each letter to a
+number, then enciphers that number using a multiplier and a number. The result
+is taken mod 26 and converted back into a letter.
+
+For a multiplier _m_ and adder _a_, a letter converted to number _x_ is
+enciphered as _E(x)_ = (_m_ _x_ + _a_) mod 26. Deciphering uses the modular
+inverse of _m_, _m_⁻¹, so that _D(x)_ = _m_⁻¹ (_x_ - _a_) mod 26.
+
+If `one_based` is `True`, the conversion between letters and numbers maps
+'a' → 1, 'b' → 2, … 'z'→ 26 and the `mod` function is adjusted to keep
+numbers in this range during enciphering and deciphering. If `one_based` is
+`False`, the conversion maps 'a' → 0, 'b' → 1, … 'z'→ 25 and `mod` behaves
+normally.
+"""
+
+from szyfrow.support.utilities import *
+from szyfrow.support.language_models import *
+
+modular_division_table = {
+ (multiplier, (multiplier * plaintext) % 26): plaintext
+ for plaintext in range(26)
+ for multiplier in range(26)
+ }
+
+
+def affine_encipher_letter(accented_letter, multiplier=1, adder=0, one_based=True):
+ """Encipher a letter, given a multiplier and adder.
+
+ Accented version of latin letters (such as é and ö) are converted to their
+ non-accented versions before encryption.
+
+ >>> cat(affine_encipher_letter(l, 3, 5, True) \
+ for l in string.ascii_letters)
+ 'hknqtwzcfiloruxadgjmpsvybeHKNQTWZCFILORUXADGJMPSVYBE'
+ >>> cat(affine_encipher_letter(l, 3, 5, False) \
+ for l in string.ascii_letters)
+ 'filoruxadgjmpsvybehknqtwzcFILORUXADGJMPSVYBEHKNQTWZC'
+ """
+ letter = unaccent(accented_letter)
+ if letter in string.ascii_letters:
+ letter_number = pos(letter)
+ if one_based: letter_number += 1
+ cipher_number = (letter_number * multiplier + adder) % 26
+ if one_based: cipher_number -= 1
+ if letter in string.ascii_uppercase:
+ return unpos(cipher_number).upper()
+ else:
+ return unpos(cipher_number)
+ else:
+ return letter
+
+def affine_decipher_letter(letter, multiplier=1, adder=0, one_based=True):
+ """Encipher a letter, given a multiplier and adder
+
+ >>> cat(affine_decipher_letter(l, 3, 5, True) \
+ for l in 'hknqtwzcfiloruxadgjmpsvybeHKNQTWZCFILORUXADGJMPSVYBE')
+ 'abcdefghijklmnopqrstuvwxyzABCDEFGHIJKLMNOPQRSTUVWXYZ'
+ >>> cat(affine_decipher_letter(l, 3, 5, False) \
+ for l in 'filoruxadgjmpsvybehknqtwzcFILORUXADGJMPSVYBEHKNQTWZC')
+ 'abcdefghijklmnopqrstuvwxyzABCDEFGHIJKLMNOPQRSTUVWXYZ'
+ """
+ if letter in string.ascii_letters:
+ cipher_number = pos(letter)
+ if one_based: cipher_number += 1
+ plaintext_number = (
+ modular_division_table[multiplier, (cipher_number - adder) % 26]
+ )
+ if one_based: plaintext_number -= 1
+ if letter in string.ascii_uppercase:
+ return unpos(plaintext_number).upper()
+ else:
+ return unpos(plaintext_number)
+ else:
+ return letter
+
+def affine_encipher(message, multiplier=1, adder=0, one_based=True):
+ """Encipher a message
+
+ >>> affine_encipher('hours passed during which jerico tried every ' \
+ 'trick he could think of', 15, 22, True)
+ 'lmyfu bkuusd dyfaxw claol psfaom jfasd snsfg jfaoe ls omytd jlaxe mh'
+ """
+ enciphered = [affine_encipher_letter(l, multiplier, adder, one_based)
+ for l in message]
+ return cat(enciphered)
+
+def affine_decipher(message, multiplier=1, adder=0, one_based=True):
+ """Decipher a message
+
+ >>> affine_decipher('lmyfu bkuusd dyfaxw claol psfaom jfasd snsfg ' \
+ 'jfaoe ls omytd jlaxe mh', 15, 22, True)
+ 'hours passed during which jerico tried every trick he could think of'
+ """
+ enciphered = [affine_decipher_letter(l, multiplier, adder, one_based)
+ for l in message]
+ return cat(enciphered)
+
+
+
+def affine_break(message, fitness=Pletters):
+ """Breaks an affine cipher using frequency analysis.
+
+ It tries all possible combinations of multiplier, adder, and one_based,
+ scores the fitness of the text decipherd with each combination, and returns
+ the key that produces the most fit deciphered text.
+
+ >>> affine_break('lmyfu bkuusd dyfaxw claol psfaom jfasd snsfg jfaoe ls ' \
+ 'omytd jlaxe mh jm bfmibj umis hfsul axubafkjamx. ls kffkxwsd jls ' \
+ 'ofgbjmwfkiu olfmxmtmwaokttg jlsx ls kffkxwsd jlsi zg tsxwjl. jlsx ' \
+ 'ls umfjsd jlsi zg hfsqysxog. ls dmmdtsd mx jls bats mh bkbsf. ls ' \
+ 'bfmctsd kfmyxd jls lyj, mztanamyu xmc jm clm cku tmmeaxw kj lai ' \
+ 'kxd clm ckuxj.') # doctest: +ELLIPSIS
+ ((15, 22, True), -340.601181913...)
+ """
+ sanitised_message = sanitise(message)
+ best_multiplier = 0
+ best_adder = 0
+ best_one_based = True
+ best_fit = float("-inf")
+ for one_based in [True, False]:
+ for multiplier in [x for x in range(1, 26, 2) if x != 13]:
+ for adder in range(26):
+ plaintext = affine_decipher(sanitised_message,
+ multiplier, adder, one_based)
+ fit = fitness(plaintext)
+ if fit > best_fit:
+ best_fit = fit
+ best_multiplier = multiplier
+ best_adder = adder
+ best_one_based = one_based
+
+ return (best_multiplier, best_adder, best_one_based), best_fit</code></pre>
+</details>
+</section>
+<section>
+</section>
+<section>
+</section>
+<section>
+<h2 class="section-title" id="header-functions">Functions</h2>
+<dl>
+<dt id="szyfrow.affine.affine_break"><code class="name flex">
+<span>def <span class="ident">affine_break</span></span>(<span>message, fitness=<function Pletters>)</span>
+</code></dt>
+<dd>
+<div class="desc"><p>Breaks an affine cipher using frequency analysis.</p>
+<p>It tries all possible combinations of multiplier, adder, and one_based,
+scores the fitness of the text decipherd with each combination, and returns
+the key that produces the most fit deciphered text.</p>
+<pre><code class="language-python-repl">>>> affine_break('lmyfu bkuusd dyfaxw claol psfaom jfasd snsfg jfaoe ls ' 'omytd jlaxe mh jm bfmibj umis hfsul axubafkjamx. ls kffkxwsd jls ' 'ofgbjmwfkiu olfmxmtmwaokttg jlsx ls kffkxwsd jlsi zg tsxwjl. jlsx ' 'ls umfjsd jlsi zg hfsqysxog. ls dmmdtsd mx jls bats mh bkbsf. ls ' 'bfmctsd kfmyxd jls lyj, mztanamyu xmc jm clm cku tmmeaxw kj lai ' 'kxd clm ckuxj.') # doctest: +ELLIPSIS
+((15, 22, True), -340.601181913...)
+</code></pre></div>
+<details class="source">
+<summary>
+<span>Expand source code</span>
+</summary>
+<pre><code class="python">def affine_break(message, fitness=Pletters):
+ """Breaks an affine cipher using frequency analysis.
+
+ It tries all possible combinations of multiplier, adder, and one_based,
+ scores the fitness of the text decipherd with each combination, and returns
+ the key that produces the most fit deciphered text.
+
+ >>> affine_break('lmyfu bkuusd dyfaxw claol psfaom jfasd snsfg jfaoe ls ' \
+ 'omytd jlaxe mh jm bfmibj umis hfsul axubafkjamx. ls kffkxwsd jls ' \
+ 'ofgbjmwfkiu olfmxmtmwaokttg jlsx ls kffkxwsd jlsi zg tsxwjl. jlsx ' \
+ 'ls umfjsd jlsi zg hfsqysxog. ls dmmdtsd mx jls bats mh bkbsf. ls ' \
+ 'bfmctsd kfmyxd jls lyj, mztanamyu xmc jm clm cku tmmeaxw kj lai ' \
+ 'kxd clm ckuxj.') # doctest: +ELLIPSIS
+ ((15, 22, True), -340.601181913...)
+ """
+ sanitised_message = sanitise(message)
+ best_multiplier = 0
+ best_adder = 0
+ best_one_based = True
+ best_fit = float("-inf")
+ for one_based in [True, False]:
+ for multiplier in [x for x in range(1, 26, 2) if x != 13]:
+ for adder in range(26):
+ plaintext = affine_decipher(sanitised_message,
+ multiplier, adder, one_based)
+ fit = fitness(plaintext)
+ if fit > best_fit:
+ best_fit = fit
+ best_multiplier = multiplier
+ best_adder = adder
+ best_one_based = one_based
+
+ return (best_multiplier, best_adder, best_one_based), best_fit</code></pre>
+</details>
+</dd>
+<dt id="szyfrow.affine.affine_decipher"><code class="name flex">
+<span>def <span class="ident">affine_decipher</span></span>(<span>message, multiplier=1, adder=0, one_based=True)</span>
+</code></dt>
+<dd>
+<div class="desc"><p>Decipher a message</p>
+<pre><code class="language-python-repl">>>> affine_decipher('lmyfu bkuusd dyfaxw claol psfaom jfasd snsfg ' 'jfaoe ls omytd jlaxe mh', 15, 22, True)
+'hours passed during which jerico tried every trick he could think of'
+</code></pre></div>
+<details class="source">
+<summary>
+<span>Expand source code</span>
+</summary>
+<pre><code class="python">def affine_decipher(message, multiplier=1, adder=0, one_based=True):
+ """Decipher a message
+
+ >>> affine_decipher('lmyfu bkuusd dyfaxw claol psfaom jfasd snsfg ' \
+ 'jfaoe ls omytd jlaxe mh', 15, 22, True)
+ 'hours passed during which jerico tried every trick he could think of'
+ """
+ enciphered = [affine_decipher_letter(l, multiplier, adder, one_based)
+ for l in message]
+ return cat(enciphered)</code></pre>
+</details>
+</dd>
+<dt id="szyfrow.affine.affine_decipher_letter"><code class="name flex">
+<span>def <span class="ident">affine_decipher_letter</span></span>(<span>letter, multiplier=1, adder=0, one_based=True)</span>
+</code></dt>
+<dd>
+<div class="desc"><p>Encipher a letter, given a multiplier and adder</p>
+<pre><code class="language-python-repl">>>> cat(affine_decipher_letter(l, 3, 5, True) for l in 'hknqtwzcfiloruxadgjmpsvybeHKNQTWZCFILORUXADGJMPSVYBE')
+'abcdefghijklmnopqrstuvwxyzABCDEFGHIJKLMNOPQRSTUVWXYZ'
+>>> cat(affine_decipher_letter(l, 3, 5, False) for l in 'filoruxadgjmpsvybehknqtwzcFILORUXADGJMPSVYBEHKNQTWZC')
+'abcdefghijklmnopqrstuvwxyzABCDEFGHIJKLMNOPQRSTUVWXYZ'
+</code></pre></div>
+<details class="source">
+<summary>
+<span>Expand source code</span>
+</summary>
+<pre><code class="python">def affine_decipher_letter(letter, multiplier=1, adder=0, one_based=True):
+ """Encipher a letter, given a multiplier and adder
+
+ >>> cat(affine_decipher_letter(l, 3, 5, True) \
+ for l in 'hknqtwzcfiloruxadgjmpsvybeHKNQTWZCFILORUXADGJMPSVYBE')
+ 'abcdefghijklmnopqrstuvwxyzABCDEFGHIJKLMNOPQRSTUVWXYZ'
+ >>> cat(affine_decipher_letter(l, 3, 5, False) \
+ for l in 'filoruxadgjmpsvybehknqtwzcFILORUXADGJMPSVYBEHKNQTWZC')
+ 'abcdefghijklmnopqrstuvwxyzABCDEFGHIJKLMNOPQRSTUVWXYZ'
+ """
+ if letter in string.ascii_letters:
+ cipher_number = pos(letter)
+ if one_based: cipher_number += 1
+ plaintext_number = (
+ modular_division_table[multiplier, (cipher_number - adder) % 26]
+ )
+ if one_based: plaintext_number -= 1
+ if letter in string.ascii_uppercase:
+ return unpos(plaintext_number).upper()
+ else:
+ return unpos(plaintext_number)
+ else:
+ return letter</code></pre>
+</details>
+</dd>
+<dt id="szyfrow.affine.affine_encipher"><code class="name flex">
+<span>def <span class="ident">affine_encipher</span></span>(<span>message, multiplier=1, adder=0, one_based=True)</span>
+</code></dt>
+<dd>
+<div class="desc"><p>Encipher a message</p>
+<pre><code class="language-python-repl">>>> affine_encipher('hours passed during which jerico tried every ' 'trick he could think of', 15, 22, True)
+'lmyfu bkuusd dyfaxw claol psfaom jfasd snsfg jfaoe ls omytd jlaxe mh'
+</code></pre></div>
+<details class="source">
+<summary>
+<span>Expand source code</span>
+</summary>
+<pre><code class="python">def affine_encipher(message, multiplier=1, adder=0, one_based=True):
+ """Encipher a message
+
+ >>> affine_encipher('hours passed during which jerico tried every ' \
+ 'trick he could think of', 15, 22, True)
+ 'lmyfu bkuusd dyfaxw claol psfaom jfasd snsfg jfaoe ls omytd jlaxe mh'
+ """
+ enciphered = [affine_encipher_letter(l, multiplier, adder, one_based)
+ for l in message]
+ return cat(enciphered)</code></pre>
+</details>
+</dd>
+<dt id="szyfrow.affine.affine_encipher_letter"><code class="name flex">
+<span>def <span class="ident">affine_encipher_letter</span></span>(<span>accented_letter, multiplier=1, adder=0, one_based=True)</span>
+</code></dt>
+<dd>
+<div class="desc"><p>Encipher a letter, given a multiplier and adder.</p>
+<p>Accented version of latin letters (such as é and ö) are converted to their
+non-accented versions before encryption.</p>
+<pre><code class="language-python-repl">>>> cat(affine_encipher_letter(l, 3, 5, True) for l in string.ascii_letters)
+'hknqtwzcfiloruxadgjmpsvybeHKNQTWZCFILORUXADGJMPSVYBE'
+>>> cat(affine_encipher_letter(l, 3, 5, False) for l in string.ascii_letters)
+'filoruxadgjmpsvybehknqtwzcFILORUXADGJMPSVYBEHKNQTWZC'
+</code></pre></div>
+<details class="source">
+<summary>
+<span>Expand source code</span>
+</summary>
+<pre><code class="python">def affine_encipher_letter(accented_letter, multiplier=1, adder=0, one_based=True):
+ """Encipher a letter, given a multiplier and adder.
+
+ Accented version of latin letters (such as é and ö) are converted to their
+ non-accented versions before encryption.
+
+ >>> cat(affine_encipher_letter(l, 3, 5, True) \
+ for l in string.ascii_letters)
+ 'hknqtwzcfiloruxadgjmpsvybeHKNQTWZCFILORUXADGJMPSVYBE'
+ >>> cat(affine_encipher_letter(l, 3, 5, False) \
+ for l in string.ascii_letters)
+ 'filoruxadgjmpsvybehknqtwzcFILORUXADGJMPSVYBEHKNQTWZC'
+ """
+ letter = unaccent(accented_letter)
+ if letter in string.ascii_letters:
+ letter_number = pos(letter)
+ if one_based: letter_number += 1
+ cipher_number = (letter_number * multiplier + adder) % 26
+ if one_based: cipher_number -= 1
+ if letter in string.ascii_uppercase:
+ return unpos(cipher_number).upper()
+ else:
+ return unpos(cipher_number)
+ else:
+ return letter</code></pre>
+</details>
+</dd>
+<dt id="szyfrow.affine.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.affine.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.affine.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.affine.affine_break" href="#szyfrow.affine.affine_break">affine_break</a></code></li>
+<li><code><a title="szyfrow.affine.affine_decipher" href="#szyfrow.affine.affine_decipher">affine_decipher</a></code></li>
+<li><code><a title="szyfrow.affine.affine_decipher_letter" href="#szyfrow.affine.affine_decipher_letter">affine_decipher_letter</a></code></li>
+<li><code><a title="szyfrow.affine.affine_encipher" href="#szyfrow.affine.affine_encipher">affine_encipher</a></code></li>
+<li><code><a title="szyfrow.affine.affine_encipher_letter" href="#szyfrow.affine.affine_encipher_letter">affine_encipher_letter</a></code></li>
+<li><code><a title="szyfrow.affine.cat" href="#szyfrow.affine.cat">cat</a></code></li>
+<li><code><a title="szyfrow.affine.lcat" href="#szyfrow.affine.lcat">lcat</a></code></li>
+<li><code><a title="szyfrow.affine.wcat" href="#szyfrow.affine.wcat">wcat</a></code></li>
+</ul>
+</li>
+</ul>
+</nav>
+</main>
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+Also attempts to break messages that use …" />
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+<article id="content">
+<header>
+<h1 class="title">Module <code>szyfrow.amsco</code></h1>
+</header>
+<section id="section-intro">
+<p>Enciphering and deciphering using the <a href="http://ericbrandel.com/2016/10/09/the-amsco-cipher/">Amsco cipher</a>.
+Also attempts to break messages that use an Amsco cipher.</p>
+<p>The Amsco cipher is a column transpositoin cipher. The plaintext is laid out,
+row by row, into columns. However, different numbers of letters are laid out
+in each cell, typically in a 1-2 pattern.</p>
+<p>It's clearer with an example. Consider we're using the keyword "perceptive",
+which turns into "perctiv". The text ""It is a truth universally
+acknowledged, that a single man in, possession of a good fortune, must be in
+want of a wife." is laid out in seven columns like this:</p>
+<pre><code>p e r c t i v
+--------------------
+i ti s at r ut h
+un i ve r sa l ly
+a ck n ow l ed g
+ed t ha t as i ng
+l em a ni n po s
+se s si o no f ag
+o od f or t un e
+mu s tb e in w an
+t of a wi f e
+</code></pre>
+<p>The ciphertext is read out in columns, according to the order of the keyword.
+In this example, the "c" column is read first, then the "e" column, and so on.
+That gives the ciphertext of "atrowtnioorewi tiicktemsodsof utledipofunwe
+iunaedlseomut svenhaasiftba rsalasnnotinf hlygngsagean".</p>
+<details class="source">
+<summary>
+<span>Expand source code</span>
+</summary>
+<pre><code class="python">"""Enciphering and deciphering using the [Amsco cipher](http://ericbrandel.com/2016/10/09/the-amsco-cipher/).
+Also attempts to break messages that use an Amsco cipher.
+
+The Amsco cipher is a column transpositoin cipher. The plaintext is laid out,
+row by row, into columns. However, different numbers of letters are laid out
+in each cell, typically in a 1-2 pattern.
+
+It's clearer with an example. Consider we're using the keyword "perceptive",
+which turns into "perctiv". The text ""It is a truth universally
+acknowledged, that a single man in, possession of a good fortune, must be in
+want of a wife." is laid out in seven columns like this:
+
+ p e r c t i v
+ --------------------
+ i ti s at r ut h
+ un i ve r sa l ly
+ a ck n ow l ed g
+ ed t ha t as i ng
+ l em a ni n po s
+ se s si o no f ag
+ o od f or t un e
+ mu s tb e in w an
+ t of a wi f e
+
+The ciphertext is read out in columns, according to the order of the keyword.
+In this example, the "c" column is read first, then the "e" column, and so on.
+That gives the ciphertext of "atrowtnioorewi tiicktemsodsof utledipofunwe
+iunaedlseomut svenhaasiftba rsalasnnotinf hlygngsagean".
+"""
+
+from enum import Enum
+import multiprocessing
+import itertools
+
+from szyfrow.support.utilities import *
+from szyfrow.support.language_models import *
+
+__pdoc__ = {}
+
+AmscoSlice = collections.namedtuple('AmscoSlice', ['index', 'start', 'end'])
+__pdoc__['AmscoSlice'] = """Where each piece of plainatext ends up in the AMSCO
+transpositon cipher."""
+__pdoc__['AmscoSlice.index'] = """Where the slice appears in the plaintext"""
+__pdoc__['AmscoSlice.start'] = """Where the slice starts in the plaintext"""
+__pdoc__['AmscoSlice.end'] = """Where the slice ends in the plaintext"""
+
+class AmscoFillStyle(Enum):
+ """Different methods of filling the grid.
+ * `continuous`: continue the fillpattern unbroken by row boundaries
+ * `same_each_row`: each row has the same fillpattern
+ * `reverse_each_row`: each row has the reversed fillpattern to the row above
+ """
+ continuous = 1
+ same_each_row = 2
+ reverse_each_row = 3
+
+def amsco_positions(message, keyword,
+ fillpattern=(1, 2),
+ fillstyle=AmscoFillStyle.continuous,
+ fillcolumnwise=False,
+ emptycolumnwise=True):
+ """Creates the grid for the AMSCO transposition cipher. Each element in the
+ grid shows the index of that slice and the start and end positions of the
+ plaintext that go to make it up.
+
+ >>> amsco_positions(string.ascii_lowercase, 'freddy', \
+ fillpattern=(1, 2)) # doctest: +NORMALIZE_WHITESPACE
+ [[AmscoSlice(index=3, start=4, end=6),
+ AmscoSlice(index=2, start=3, end=4),
+ AmscoSlice(index=0, start=0, end=1),
+ AmscoSlice(index=1, start=1, end=3),
+ AmscoSlice(index=4, start=6, end=7)],
+ [AmscoSlice(index=8, start=12, end=13),
+ AmscoSlice(index=7, start=10, end=12),
+ AmscoSlice(index=5, start=7, end=9),
+ AmscoSlice(index=6, start=9, end=10),
+ AmscoSlice(index=9, start=13, end=15)],
+ [AmscoSlice(index=13, start=19, end=21),
+ AmscoSlice(index=12, start=18, end=19),
+ AmscoSlice(index=10, start=15, end=16),
+ AmscoSlice(index=11, start=16, end=18),
+ AmscoSlice(index=14, start=21, end=22)],
+ [AmscoSlice(index=18, start=27, end=28),
+ AmscoSlice(index=17, start=25, end=27),
+ AmscoSlice(index=15, start=22, end=24),
+ AmscoSlice(index=16, start=24, end=25),
+ AmscoSlice(index=19, start=28, end=30)]]
+ """
+ transpositions = transpositions_of(keyword)
+ fill_iterator = itertools.cycle(fillpattern)
+ indices = itertools.count()
+ message_length = len(message)
+
+ current_position = 0
+ grid = []
+ current_fillpattern = fillpattern
+ while current_position < message_length:
+ row = []
+ if fillstyle == AmscoFillStyle.same_each_row:
+ fill_iterator = itertools.cycle(fillpattern)
+ if fillstyle == AmscoFillStyle.reverse_each_row:
+ fill_iterator = itertools.cycle(current_fillpattern)
+ for _ in range(len(transpositions)):
+ index = next(indices)
+ gap = next(fill_iterator)
+ row += [AmscoSlice(index, current_position, current_position + gap)]
+ current_position += gap
+ grid += [row]
+ if fillstyle == AmscoFillStyle.reverse_each_row:
+ current_fillpattern = list(reversed(current_fillpattern))
+ return [transpose(r, transpositions) for r in grid]
+
+def amsco_encipher(message, keyword,
+ fillpattern=(1,2), fillstyle=AmscoFillStyle.reverse_each_row):
+ """AMSCO transposition encipher.
+
+ >>> amsco_encipher('hellothere', 'abc', fillpattern=(1, 2))
+ 'hoteelhler'
+ >>> amsco_encipher('hellothere', 'abc', fillpattern=(2, 1))
+ 'hetelhelor'
+ >>> amsco_encipher('hellothere', 'acb', fillpattern=(1, 2))
+ 'hotelerelh'
+ >>> amsco_encipher('hellothere', 'acb', fillpattern=(2, 1))
+ 'hetelorlhe'
+ >>> amsco_encipher('hereissometexttoencipher', 'encode')
+ 'etecstthhomoerereenisxip'
+ >>> amsco_encipher('hereissometexttoencipher', 'cipher', fillpattern=(1, 2))
+ 'hetcsoeisterereipexthomn'
+ >>> amsco_encipher('hereissometexttoencipher', 'cipher', fillpattern=(1, 2), fillstyle=AmscoFillStyle.continuous)
+ 'hecsoisttererteipexhomen'
+ >>> amsco_encipher('hereissometexttoencipher', 'cipher', fillpattern=(2, 1))
+ 'heecisoosttrrtepeixhemen'
+ >>> amsco_encipher('hereissometexttoencipher', 'cipher', fillpattern=(1, 3, 2))
+ 'hxtomephescieretoeisnter'
+ >>> amsco_encipher('hereissometexttoencipher', 'cipher', fillpattern=(1, 3, 2), fillstyle=AmscoFillStyle.continuous)
+ 'hxomeiphscerettoisenteer'
+ """
+ grid = amsco_positions(message, keyword,
+ fillpattern=fillpattern, fillstyle=fillstyle)
+ ct_as_grid = [[message[s.start:s.end] for s in r] for r in grid]
+ return combine_every_nth(ct_as_grid)
+
+
+def amsco_decipher(message, keyword,
+ fillpattern=(1,2), fillstyle=AmscoFillStyle.reverse_each_row):
+ """AMSCO transposition decipher
+
+ >>> amsco_decipher('hoteelhler', 'abc', fillpattern=(1, 2))
+ 'hellothere'
+ >>> amsco_decipher('hetelhelor', 'abc', fillpattern=(2, 1))
+ 'hellothere'
+ >>> amsco_decipher('hotelerelh', 'acb', fillpattern=(1, 2))
+ 'hellothere'
+ >>> amsco_decipher('hetelorlhe', 'acb', fillpattern=(2, 1))
+ 'hellothere'
+ >>> amsco_decipher('etecstthhomoerereenisxip', 'encode')
+ 'hereissometexttoencipher'
+ >>> amsco_decipher('hetcsoeisterereipexthomn', 'cipher', fillpattern=(1, 2))
+ 'hereissometexttoencipher'
+ >>> amsco_decipher('hecsoisttererteipexhomen', 'cipher', fillpattern=(1, 2), fillstyle=AmscoFillStyle.continuous)
+ 'hereissometexttoencipher'
+ >>> amsco_decipher('heecisoosttrrtepeixhemen', 'cipher', fillpattern=(2, 1))
+ 'hereissometexttoencipher'
+ >>> amsco_decipher('hxtomephescieretoeisnter', 'cipher', fillpattern=(1, 3, 2))
+ 'hereissometexttoencipher'
+ >>> amsco_decipher('hxomeiphscerettoisenteer', 'cipher', fillpattern=(1, 3, 2), fillstyle=AmscoFillStyle.continuous)
+ 'hereissometexttoencipher'
+ """
+
+ grid = amsco_positions(message, keyword,
+ fillpattern=fillpattern, fillstyle=fillstyle)
+ transposed_sections = [s for c in [l for l in zip(*grid)] for s in c]
+ plaintext_list = [''] * len(transposed_sections)
+ current_pos = 0
+ for slice in transposed_sections:
+ plaintext_list[slice.index] = message[current_pos:current_pos-slice.start+slice.end][:len(message[slice.start:slice.end])]
+ current_pos += len(message[slice.start:slice.end])
+ return cat(plaintext_list)
+
+
+def amsco_break(message, translist=None, patterns = [(1, 2), (2, 1)],
+ fillstyles = [AmscoFillStyle.continuous,
+ AmscoFillStyle.same_each_row,
+ AmscoFillStyle.reverse_each_row],
+ fitness=Pbigrams,
+ chunksize=500):
+ """Breaks an AMSCO transposition cipher using a dictionary and
+ n-gram frequency analysis.
+
+ If `translist` is not specified, use
+ [`szyfrow.support.langauge_models.transpositions`](support/language_models.html#szyfrow.support.language_models.transpositions).
+
+ >>> amsco_break(amsco_encipher(sanitise( \
+ "It is a truth universally acknowledged, that a single man in \
+ possession of a good fortune, must be in want of a wife. However \
+ little known the feelings or views of such a man may be on his \
+ first entering a neighbourhood, this truth is so well fixed in \
+ the minds of the surrounding families, that he is considered the \
+ rightful property of some one or other of their daughters."), \
+ 'encipher'), \
+ translist={(2, 0, 5, 3, 1, 4, 6): ['encipher'], \
+ (5, 0, 6, 1, 3, 4, 2): ['fourteen'], \
+ (6, 1, 0, 4, 5, 3, 2): ['keyword']}, \
+ patterns=[(1, 2)]) # doctest: +ELLIPSIS
+ (((2, 0, 5, 3, 1, 4, 6), (1, 2), <AmscoFillStyle.continuous: 1>), -709.4646722...)
+ >>> amsco_break(amsco_encipher(sanitise( \
+ "It is a truth universally acknowledged, that a single man in \
+ possession of a good fortune, must be in want of a wife. However \
+ little known the feelings or views of such a man may be on his \
+ first entering a neighbourhood, this truth is so well fixed in \
+ the minds of the surrounding families, that he is considered the \
+ rightful property of some one or other of their daughters."), \
+ 'encipher', fillpattern=(2, 1)), \
+ translist={(2, 0, 5, 3, 1, 4, 6): ['encipher'], \
+ (5, 0, 6, 1, 3, 4, 2): ['fourteen'], \
+ (6, 1, 0, 4, 5, 3, 2): ['keyword']}, \
+ patterns=[(1, 2), (2, 1)], fitness=Ptrigrams) # doctest: +ELLIPSIS
+ (((2, 0, 5, 3, 1, 4, 6), (2, 1), <AmscoFillStyle.continuous: 1>), -997.0129085...)
+ """
+ if translist is None:
+ translist = transpositions
+
+ with multiprocessing.Pool() as pool:
+ helper_args = [(message, trans, pattern, fillstyle, fitness)
+ for trans in translist
+ for pattern in patterns
+ for fillstyle in fillstyles]
+ # Gotcha: the helper function here needs to be defined at the top level
+ # (limitation of Pool.starmap)
+ breaks = pool.starmap(amsco_break_worker, helper_args, chunksize)
+ return max(breaks, key=lambda k: k[1])
+
+def amsco_break_worker(message, transposition,
+ pattern, fillstyle, fitness):
+ plaintext = amsco_decipher(message, transposition,
+ fillpattern=pattern, fillstyle=fillstyle)
+ fit = fitness(sanitise(plaintext))
+ return (transposition, pattern, fillstyle), fit
+
+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.amsco.amsco_break"><code class="name flex">
+<span>def <span class="ident">amsco_break</span></span>(<span>message, translist=None, patterns=[(1, 2), (2, 1)], fillstyles=[<AmscoFillStyle.continuous: 1>, <AmscoFillStyle.same_each_row: 2>, <AmscoFillStyle.reverse_each_row: 3>], fitness=<function Pbigrams>, chunksize=500)</span>
+</code></dt>
+<dd>
+<div class="desc"><p>Breaks an AMSCO transposition cipher using a dictionary and
+n-gram frequency analysis.</p>
+<p>If <code>translist</code> is not specified, use
+<a href="support/language_models.html#szyfrow.support.language_models.transpositions"><code>szyfrow.support.langauge_models.transpositions</code></a>.</p>
+<pre><code class="language-python-repl">>>> amsco_break(amsco_encipher(sanitise( "It is a truth universally acknowledged, that a single man in possession of a good fortune, must be in want of a wife. However little known the feelings or views of such a man may be on his first entering a neighbourhood, this truth is so well fixed in the minds of the surrounding families, that he is considered the rightful property of some one or other of their daughters."), 'encipher'), translist={(2, 0, 5, 3, 1, 4, 6): ['encipher'], (5, 0, 6, 1, 3, 4, 2): ['fourteen'], (6, 1, 0, 4, 5, 3, 2): ['keyword']}, patterns=[(1, 2)]) # doctest: +ELLIPSIS
+(((2, 0, 5, 3, 1, 4, 6), (1, 2), <AmscoFillStyle.continuous: 1>), -709.4646722...)
+>>> amsco_break(amsco_encipher(sanitise( "It is a truth universally acknowledged, that a single man in possession of a good fortune, must be in want of a wife. However little known the feelings or views of such a man may be on his first entering a neighbourhood, this truth is so well fixed in the minds of the surrounding families, that he is considered the rightful property of some one or other of their daughters."), 'encipher', fillpattern=(2, 1)), translist={(2, 0, 5, 3, 1, 4, 6): ['encipher'], (5, 0, 6, 1, 3, 4, 2): ['fourteen'], (6, 1, 0, 4, 5, 3, 2): ['keyword']}, patterns=[(1, 2), (2, 1)], fitness=Ptrigrams) # doctest: +ELLIPSIS
+(((2, 0, 5, 3, 1, 4, 6), (2, 1), <AmscoFillStyle.continuous: 1>), -997.0129085...)
+</code></pre></div>
+<details class="source">
+<summary>
+<span>Expand source code</span>
+</summary>
+<pre><code class="python">def amsco_break(message, translist=None, patterns = [(1, 2), (2, 1)],
+ fillstyles = [AmscoFillStyle.continuous,
+ AmscoFillStyle.same_each_row,
+ AmscoFillStyle.reverse_each_row],
+ fitness=Pbigrams,
+ chunksize=500):
+ """Breaks an AMSCO transposition cipher using a dictionary and
+ n-gram frequency analysis.
+
+ If `translist` is not specified, use
+ [`szyfrow.support.langauge_models.transpositions`](support/language_models.html#szyfrow.support.language_models.transpositions).
+
+ >>> amsco_break(amsco_encipher(sanitise( \
+ "It is a truth universally acknowledged, that a single man in \
+ possession of a good fortune, must be in want of a wife. However \
+ little known the feelings or views of such a man may be on his \
+ first entering a neighbourhood, this truth is so well fixed in \
+ the minds of the surrounding families, that he is considered the \
+ rightful property of some one or other of their daughters."), \
+ 'encipher'), \
+ translist={(2, 0, 5, 3, 1, 4, 6): ['encipher'], \
+ (5, 0, 6, 1, 3, 4, 2): ['fourteen'], \
+ (6, 1, 0, 4, 5, 3, 2): ['keyword']}, \
+ patterns=[(1, 2)]) # doctest: +ELLIPSIS
+ (((2, 0, 5, 3, 1, 4, 6), (1, 2), <AmscoFillStyle.continuous: 1>), -709.4646722...)
+ >>> amsco_break(amsco_encipher(sanitise( \
+ "It is a truth universally acknowledged, that a single man in \
+ possession of a good fortune, must be in want of a wife. However \
+ little known the feelings or views of such a man may be on his \
+ first entering a neighbourhood, this truth is so well fixed in \
+ the minds of the surrounding families, that he is considered the \
+ rightful property of some one or other of their daughters."), \
+ 'encipher', fillpattern=(2, 1)), \
+ translist={(2, 0, 5, 3, 1, 4, 6): ['encipher'], \
+ (5, 0, 6, 1, 3, 4, 2): ['fourteen'], \
+ (6, 1, 0, 4, 5, 3, 2): ['keyword']}, \
+ patterns=[(1, 2), (2, 1)], fitness=Ptrigrams) # doctest: +ELLIPSIS
+ (((2, 0, 5, 3, 1, 4, 6), (2, 1), <AmscoFillStyle.continuous: 1>), -997.0129085...)
+ """
+ if translist is None:
+ translist = transpositions
+
+ with multiprocessing.Pool() as pool:
+ helper_args = [(message, trans, pattern, fillstyle, fitness)
+ for trans in translist
+ for pattern in patterns
+ for fillstyle in fillstyles]
+ # Gotcha: the helper function here needs to be defined at the top level
+ # (limitation of Pool.starmap)
+ breaks = pool.starmap(amsco_break_worker, helper_args, chunksize)
+ return max(breaks, key=lambda k: k[1])</code></pre>
+</details>
+</dd>
+<dt id="szyfrow.amsco.amsco_break_worker"><code class="name flex">
+<span>def <span class="ident">amsco_break_worker</span></span>(<span>message, transposition, pattern, fillstyle, fitness)</span>
+</code></dt>
+<dd>
+<div class="desc"></div>
+<details class="source">
+<summary>
+<span>Expand source code</span>
+</summary>
+<pre><code class="python">def amsco_break_worker(message, transposition,
+ pattern, fillstyle, fitness):
+ plaintext = amsco_decipher(message, transposition,
+ fillpattern=pattern, fillstyle=fillstyle)
+ fit = fitness(sanitise(plaintext))
+ return (transposition, pattern, fillstyle), fit</code></pre>
+</details>
+</dd>
+<dt id="szyfrow.amsco.amsco_decipher"><code class="name flex">
+<span>def <span class="ident">amsco_decipher</span></span>(<span>message, keyword, fillpattern=(1, 2), fillstyle=AmscoFillStyle.reverse_each_row)</span>
+</code></dt>
+<dd>
+<div class="desc"><p>AMSCO transposition decipher</p>
+<pre><code class="language-python-repl">>>> amsco_decipher('hoteelhler', 'abc', fillpattern=(1, 2))
+'hellothere'
+>>> amsco_decipher('hetelhelor', 'abc', fillpattern=(2, 1))
+'hellothere'
+>>> amsco_decipher('hotelerelh', 'acb', fillpattern=(1, 2))
+'hellothere'
+>>> amsco_decipher('hetelorlhe', 'acb', fillpattern=(2, 1))
+'hellothere'
+>>> amsco_decipher('etecstthhomoerereenisxip', 'encode')
+'hereissometexttoencipher'
+>>> amsco_decipher('hetcsoeisterereipexthomn', 'cipher', fillpattern=(1, 2))
+'hereissometexttoencipher'
+>>> amsco_decipher('hecsoisttererteipexhomen', 'cipher', fillpattern=(1, 2), fillstyle=AmscoFillStyle.continuous)
+'hereissometexttoencipher'
+>>> amsco_decipher('heecisoosttrrtepeixhemen', 'cipher', fillpattern=(2, 1))
+'hereissometexttoencipher'
+>>> amsco_decipher('hxtomephescieretoeisnter', 'cipher', fillpattern=(1, 3, 2))
+'hereissometexttoencipher'
+>>> amsco_decipher('hxomeiphscerettoisenteer', 'cipher', fillpattern=(1, 3, 2), fillstyle=AmscoFillStyle.continuous)
+'hereissometexttoencipher'
+</code></pre></div>
+<details class="source">
+<summary>
+<span>Expand source code</span>
+</summary>
+<pre><code class="python">def amsco_decipher(message, keyword,
+ fillpattern=(1,2), fillstyle=AmscoFillStyle.reverse_each_row):
+ """AMSCO transposition decipher
+
+ >>> amsco_decipher('hoteelhler', 'abc', fillpattern=(1, 2))
+ 'hellothere'
+ >>> amsco_decipher('hetelhelor', 'abc', fillpattern=(2, 1))
+ 'hellothere'
+ >>> amsco_decipher('hotelerelh', 'acb', fillpattern=(1, 2))
+ 'hellothere'
+ >>> amsco_decipher('hetelorlhe', 'acb', fillpattern=(2, 1))
+ 'hellothere'
+ >>> amsco_decipher('etecstthhomoerereenisxip', 'encode')
+ 'hereissometexttoencipher'
+ >>> amsco_decipher('hetcsoeisterereipexthomn', 'cipher', fillpattern=(1, 2))
+ 'hereissometexttoencipher'
+ >>> amsco_decipher('hecsoisttererteipexhomen', 'cipher', fillpattern=(1, 2), fillstyle=AmscoFillStyle.continuous)
+ 'hereissometexttoencipher'
+ >>> amsco_decipher('heecisoosttrrtepeixhemen', 'cipher', fillpattern=(2, 1))
+ 'hereissometexttoencipher'
+ >>> amsco_decipher('hxtomephescieretoeisnter', 'cipher', fillpattern=(1, 3, 2))
+ 'hereissometexttoencipher'
+ >>> amsco_decipher('hxomeiphscerettoisenteer', 'cipher', fillpattern=(1, 3, 2), fillstyle=AmscoFillStyle.continuous)
+ 'hereissometexttoencipher'
+ """
+
+ grid = amsco_positions(message, keyword,
+ fillpattern=fillpattern, fillstyle=fillstyle)
+ transposed_sections = [s for c in [l for l in zip(*grid)] for s in c]
+ plaintext_list = [''] * len(transposed_sections)
+ current_pos = 0
+ for slice in transposed_sections:
+ plaintext_list[slice.index] = message[current_pos:current_pos-slice.start+slice.end][:len(message[slice.start:slice.end])]
+ current_pos += len(message[slice.start:slice.end])
+ return cat(plaintext_list)</code></pre>
+</details>
+</dd>
+<dt id="szyfrow.amsco.amsco_encipher"><code class="name flex">
+<span>def <span class="ident">amsco_encipher</span></span>(<span>message, keyword, fillpattern=(1, 2), fillstyle=AmscoFillStyle.reverse_each_row)</span>
+</code></dt>
+<dd>
+<div class="desc"><p>AMSCO transposition encipher.</p>
+<pre><code class="language-python-repl">>>> amsco_encipher('hellothere', 'abc', fillpattern=(1, 2))
+'hoteelhler'
+>>> amsco_encipher('hellothere', 'abc', fillpattern=(2, 1))
+'hetelhelor'
+>>> amsco_encipher('hellothere', 'acb', fillpattern=(1, 2))
+'hotelerelh'
+>>> amsco_encipher('hellothere', 'acb', fillpattern=(2, 1))
+'hetelorlhe'
+>>> amsco_encipher('hereissometexttoencipher', 'encode')
+'etecstthhomoerereenisxip'
+>>> amsco_encipher('hereissometexttoencipher', 'cipher', fillpattern=(1, 2))
+'hetcsoeisterereipexthomn'
+>>> amsco_encipher('hereissometexttoencipher', 'cipher', fillpattern=(1, 2), fillstyle=AmscoFillStyle.continuous)
+'hecsoisttererteipexhomen'
+>>> amsco_encipher('hereissometexttoencipher', 'cipher', fillpattern=(2, 1))
+'heecisoosttrrtepeixhemen'
+>>> amsco_encipher('hereissometexttoencipher', 'cipher', fillpattern=(1, 3, 2))
+'hxtomephescieretoeisnter'
+>>> amsco_encipher('hereissometexttoencipher', 'cipher', fillpattern=(1, 3, 2), fillstyle=AmscoFillStyle.continuous)
+'hxomeiphscerettoisenteer'
+</code></pre></div>
+<details class="source">
+<summary>
+<span>Expand source code</span>
+</summary>
+<pre><code class="python">def amsco_encipher(message, keyword,
+ fillpattern=(1,2), fillstyle=AmscoFillStyle.reverse_each_row):
+ """AMSCO transposition encipher.
+
+ >>> amsco_encipher('hellothere', 'abc', fillpattern=(1, 2))
+ 'hoteelhler'
+ >>> amsco_encipher('hellothere', 'abc', fillpattern=(2, 1))
+ 'hetelhelor'
+ >>> amsco_encipher('hellothere', 'acb', fillpattern=(1, 2))
+ 'hotelerelh'
+ >>> amsco_encipher('hellothere', 'acb', fillpattern=(2, 1))
+ 'hetelorlhe'
+ >>> amsco_encipher('hereissometexttoencipher', 'encode')
+ 'etecstthhomoerereenisxip'
+ >>> amsco_encipher('hereissometexttoencipher', 'cipher', fillpattern=(1, 2))
+ 'hetcsoeisterereipexthomn'
+ >>> amsco_encipher('hereissometexttoencipher', 'cipher', fillpattern=(1, 2), fillstyle=AmscoFillStyle.continuous)
+ 'hecsoisttererteipexhomen'
+ >>> amsco_encipher('hereissometexttoencipher', 'cipher', fillpattern=(2, 1))
+ 'heecisoosttrrtepeixhemen'
+ >>> amsco_encipher('hereissometexttoencipher', 'cipher', fillpattern=(1, 3, 2))
+ 'hxtomephescieretoeisnter'
+ >>> amsco_encipher('hereissometexttoencipher', 'cipher', fillpattern=(1, 3, 2), fillstyle=AmscoFillStyle.continuous)
+ 'hxomeiphscerettoisenteer'
+ """
+ grid = amsco_positions(message, keyword,
+ fillpattern=fillpattern, fillstyle=fillstyle)
+ ct_as_grid = [[message[s.start:s.end] for s in r] for r in grid]
+ return combine_every_nth(ct_as_grid)</code></pre>
+</details>
+</dd>
+<dt id="szyfrow.amsco.amsco_positions"><code class="name flex">
+<span>def <span class="ident">amsco_positions</span></span>(<span>message, keyword, fillpattern=(1, 2), fillstyle=AmscoFillStyle.continuous, fillcolumnwise=False, emptycolumnwise=True)</span>
+</code></dt>
+<dd>
+<div class="desc"><p>Creates the grid for the AMSCO transposition cipher. Each element in the
+grid shows the index of that slice and the start and end positions of the
+plaintext that go to make it up.</p>
+<pre><code class="language-python-repl">>>> amsco_positions(string.ascii_lowercase, 'freddy', fillpattern=(1, 2)) # doctest: +NORMALIZE_WHITESPACE
+[[AmscoSlice(index=3, start=4, end=6),
+ AmscoSlice(index=2, start=3, end=4),
+ AmscoSlice(index=0, start=0, end=1),
+ AmscoSlice(index=1, start=1, end=3),
+ AmscoSlice(index=4, start=6, end=7)],
+[AmscoSlice(index=8, start=12, end=13),
+ AmscoSlice(index=7, start=10, end=12),
+ AmscoSlice(index=5, start=7, end=9),
+ AmscoSlice(index=6, start=9, end=10),
+ AmscoSlice(index=9, start=13, end=15)],
+[AmscoSlice(index=13, start=19, end=21),
+ AmscoSlice(index=12, start=18, end=19),
+ AmscoSlice(index=10, start=15, end=16),
+ AmscoSlice(index=11, start=16, end=18),
+ AmscoSlice(index=14, start=21, end=22)],
+[AmscoSlice(index=18, start=27, end=28),
+ AmscoSlice(index=17, start=25, end=27),
+ AmscoSlice(index=15, start=22, end=24),
+ AmscoSlice(index=16, start=24, end=25),
+ AmscoSlice(index=19, start=28, end=30)]]
+</code></pre></div>
+<details class="source">
+<summary>
+<span>Expand source code</span>
+</summary>
+<pre><code class="python">def amsco_positions(message, keyword,
+ fillpattern=(1, 2),
+ fillstyle=AmscoFillStyle.continuous,
+ fillcolumnwise=False,
+ emptycolumnwise=True):
+ """Creates the grid for the AMSCO transposition cipher. Each element in the
+ grid shows the index of that slice and the start and end positions of the
+ plaintext that go to make it up.
+
+ >>> amsco_positions(string.ascii_lowercase, 'freddy', \
+ fillpattern=(1, 2)) # doctest: +NORMALIZE_WHITESPACE
+ [[AmscoSlice(index=3, start=4, end=6),
+ AmscoSlice(index=2, start=3, end=4),
+ AmscoSlice(index=0, start=0, end=1),
+ AmscoSlice(index=1, start=1, end=3),
+ AmscoSlice(index=4, start=6, end=7)],
+ [AmscoSlice(index=8, start=12, end=13),
+ AmscoSlice(index=7, start=10, end=12),
+ AmscoSlice(index=5, start=7, end=9),
+ AmscoSlice(index=6, start=9, end=10),
+ AmscoSlice(index=9, start=13, end=15)],
+ [AmscoSlice(index=13, start=19, end=21),
+ AmscoSlice(index=12, start=18, end=19),
+ AmscoSlice(index=10, start=15, end=16),
+ AmscoSlice(index=11, start=16, end=18),
+ AmscoSlice(index=14, start=21, end=22)],
+ [AmscoSlice(index=18, start=27, end=28),
+ AmscoSlice(index=17, start=25, end=27),
+ AmscoSlice(index=15, start=22, end=24),
+ AmscoSlice(index=16, start=24, end=25),
+ AmscoSlice(index=19, start=28, end=30)]]
+ """
+ transpositions = transpositions_of(keyword)
+ fill_iterator = itertools.cycle(fillpattern)
+ indices = itertools.count()
+ message_length = len(message)
+
+ current_position = 0
+ grid = []
+ current_fillpattern = fillpattern
+ while current_position < message_length:
+ row = []
+ if fillstyle == AmscoFillStyle.same_each_row:
+ fill_iterator = itertools.cycle(fillpattern)
+ if fillstyle == AmscoFillStyle.reverse_each_row:
+ fill_iterator = itertools.cycle(current_fillpattern)
+ for _ in range(len(transpositions)):
+ index = next(indices)
+ gap = next(fill_iterator)
+ row += [AmscoSlice(index, current_position, current_position + gap)]
+ current_position += gap
+ grid += [row]
+ if fillstyle == AmscoFillStyle.reverse_each_row:
+ current_fillpattern = list(reversed(current_fillpattern))
+ return [transpose(r, transpositions) for r in grid]</code></pre>
+</details>
+</dd>
+<dt id="szyfrow.amsco.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.amsco.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.amsco.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>
+<h2 class="section-title" id="header-classes">Classes</h2>
+<dl>
+<dt id="szyfrow.amsco.AmscoFillStyle"><code class="flex name class">
+<span>class <span class="ident">AmscoFillStyle</span></span>
+<span>(</span><span>value, names=None, *, module=None, qualname=None, type=None, start=1)</span>
+</code></dt>
+<dd>
+<div class="desc"><p>Different methods of filling the grid.
+* <code>continuous</code>: continue the fillpattern unbroken by row boundaries
+* <code>same_each_row</code>: each row has the same fillpattern
+* <code>reverse_each_row</code>: each row has the reversed fillpattern to the row above</p></div>
+<details class="source">
+<summary>
+<span>Expand source code</span>
+</summary>
+<pre><code class="python">class AmscoFillStyle(Enum):
+ """Different methods of filling the grid.
+ * `continuous`: continue the fillpattern unbroken by row boundaries
+ * `same_each_row`: each row has the same fillpattern
+ * `reverse_each_row`: each row has the reversed fillpattern to the row above
+ """
+ continuous = 1
+ same_each_row = 2
+ reverse_each_row = 3</code></pre>
+</details>
+<h3>Ancestors</h3>
+<ul class="hlist">
+<li>enum.Enum</li>
+</ul>
+<h3>Class variables</h3>
+<dl>
+<dt id="szyfrow.amsco.AmscoFillStyle.continuous"><code class="name">var <span class="ident">continuous</span></code></dt>
+<dd>
+<div class="desc"></div>
+</dd>
+<dt id="szyfrow.amsco.AmscoFillStyle.reverse_each_row"><code class="name">var <span class="ident">reverse_each_row</span></code></dt>
+<dd>
+<div class="desc"></div>
+</dd>
+<dt id="szyfrow.amsco.AmscoFillStyle.same_each_row"><code class="name">var <span class="ident">same_each_row</span></code></dt>
+<dd>
+<div class="desc"></div>
+</dd>
+</dl>
+</dd>
+<dt id="szyfrow.amsco.AmscoSlice"><code class="flex name class">
+<span>class <span class="ident">AmscoSlice</span></span>
+<span>(</span><span>index, start, end)</span>
+</code></dt>
+<dd>
+<div class="desc"><p>Where each piece of plainatext ends up in the AMSCO
+transpositon cipher.</p></div>
+<h3>Ancestors</h3>
+<ul class="hlist">
+<li>builtins.tuple</li>
+</ul>
+<h3>Instance variables</h3>
+<dl>
+<dt id="szyfrow.amsco.AmscoSlice.end"><code class="name">var <span class="ident">end</span></code></dt>
+<dd>
+<div class="desc"><p>Where the slice ends in the plaintext</p></div>
+</dd>
+<dt id="szyfrow.amsco.AmscoSlice.index"><code class="name">var <span class="ident">index</span></code></dt>
+<dd>
+<div class="desc"><p>Where the slice appears in the plaintext</p></div>
+</dd>
+<dt id="szyfrow.amsco.AmscoSlice.start"><code class="name">var <span class="ident">start</span></code></dt>
+<dd>
+<div class="desc"><p>Where the slice starts in the plaintext</p></div>
+</dd>
+</dl>
+</dd>
+</dl>
+</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="two-column">
+<li><code><a title="szyfrow.amsco.amsco_break" href="#szyfrow.amsco.amsco_break">amsco_break</a></code></li>
+<li><code><a title="szyfrow.amsco.amsco_break_worker" href="#szyfrow.amsco.amsco_break_worker">amsco_break_worker</a></code></li>
+<li><code><a title="szyfrow.amsco.amsco_decipher" href="#szyfrow.amsco.amsco_decipher">amsco_decipher</a></code></li>
+<li><code><a title="szyfrow.amsco.amsco_encipher" href="#szyfrow.amsco.amsco_encipher">amsco_encipher</a></code></li>
+<li><code><a title="szyfrow.amsco.amsco_positions" href="#szyfrow.amsco.amsco_positions">amsco_positions</a></code></li>
+<li><code><a title="szyfrow.amsco.cat" href="#szyfrow.amsco.cat">cat</a></code></li>
+<li><code><a title="szyfrow.amsco.lcat" href="#szyfrow.amsco.lcat">lcat</a></code></li>
+<li><code><a title="szyfrow.amsco.wcat" href="#szyfrow.amsco.wcat">wcat</a></code></li>
+</ul>
+</li>
+<li><h3><a href="#header-classes">Classes</a></h3>
+<ul>
+<li>
+<h4><code><a title="szyfrow.amsco.AmscoFillStyle" href="#szyfrow.amsco.AmscoFillStyle">AmscoFillStyle</a></code></h4>
+<ul class="">
+<li><code><a title="szyfrow.amsco.AmscoFillStyle.continuous" href="#szyfrow.amsco.AmscoFillStyle.continuous">continuous</a></code></li>
+<li><code><a title="szyfrow.amsco.AmscoFillStyle.reverse_each_row" href="#szyfrow.amsco.AmscoFillStyle.reverse_each_row">reverse_each_row</a></code></li>
+<li><code><a title="szyfrow.amsco.AmscoFillStyle.same_each_row" href="#szyfrow.amsco.AmscoFillStyle.same_each_row">same_each_row</a></code></li>
+</ul>
+</li>
+<li>
+<h4><code><a title="szyfrow.amsco.AmscoSlice" href="#szyfrow.amsco.AmscoSlice">AmscoSlice</a></code></h4>
+<ul class="">
+<li><code><a title="szyfrow.amsco.AmscoSlice.end" href="#szyfrow.amsco.AmscoSlice.end">end</a></code></li>
+<li><code><a title="szyfrow.amsco.AmscoSlice.index" href="#szyfrow.amsco.AmscoSlice.index">index</a></code></li>
+<li><code><a title="szyfrow.amsco.AmscoSlice.start" href="#szyfrow.amsco.AmscoSlice.start">start</a></code></li>
+</ul>
+</li>
+</ul>
+</li>
+</ul>
+</nav>
+</main>
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+Also attempts to break messages that use a …" />
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+<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>
+<footer id="footer">
+<p>Generated by <a href="https://pdoc3.github.io/pdoc"><cite>pdoc</cite> 0.9.2</a>.</p>
+</footer>
+</body>
+</html>
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+<title>szyfrow.bifid API documentation</title>
+<meta name="description" content="Enciphering and deciphering using the [Bifid cipher](https://en.wikipedia.org/wiki/Bifid_cipher).
+Also attempts to break messages that use a Bifid …" />
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+<main>
+<article id="content">
+<header>
+<h1 class="title">Module <code>szyfrow.bifid</code></h1>
+</header>
+<section id="section-intro">
+<p>Enciphering and deciphering using the <a href="https://en.wikipedia.org/wiki/Bifid_cipher">Bifid cipher</a>.
+Also attempts to break messages that use a Bifid cipher.</p>
+<details class="source">
+<summary>
+<span>Expand source code</span>
+</summary>
+<pre><code class="python">"""Enciphering and deciphering using the [Bifid cipher](https://en.wikipedia.org/wiki/Bifid_cipher).
+Also attempts to break messages that use a Bifid cipher.
+"""
+import multiprocessing
+from szyfrow.support.utilities import *
+from szyfrow.support.language_models import *
+from szyfrow.keyword_cipher import KeywordWrapAlphabet, keyword_cipher_alphabet_of
+
+def bifid_grid(keyword, wrap_alphabet, letter_mapping):
+ """Create the grids for a Bifid cipher
+ """
+ cipher_alphabet = keyword_cipher_alphabet_of(keyword, wrap_alphabet)
+ if letter_mapping is None:
+ letter_mapping = {'j': 'i'}
+ translation = ''.maketrans(letter_mapping)
+ cipher_alphabet = cat(collections.OrderedDict.fromkeys(cipher_alphabet.translate(translation)))
+ f_grid = {k: ((i // 5) + 1, (i % 5) + 1)
+ for i, k in enumerate(cipher_alphabet)}
+ r_grid = {((i // 5) + 1, (i % 5) + 1): k
+ for i, k in enumerate(cipher_alphabet)}
+ return translation, f_grid, r_grid
+
+def bifid_encipher(message, keyword, wrap_alphabet=KeywordWrapAlphabet.from_a,
+ letter_mapping=None, period=None, fillvalue=None):
+ """Bifid cipher
+
+ >>> bifid_encipher("indiajelly", 'iguana')
+ 'ibidonhprm'
+ >>> bifid_encipher("indiacurry", 'iguana', period=4)
+ 'ibnhgaqltm'
+ >>> bifid_encipher("indiacurry", 'iguana', period=4, fillvalue='x')
+ 'ibnhgaqltzml'
+ """
+
+ if period:
+ if not fillvalue:
+ raise ValueError("fillvalue must be given if period is given")
+ else:
+ p_message = message + pad(len(message), period, fillvalue)
+ else:
+ p_message = message
+
+ translation, f_grid, r_grid = bifid_grid(keyword, wrap_alphabet, letter_mapping)
+
+ t_message = p_message.translate(translation)
+ pairs0 = [f_grid[l] for l in sanitise(t_message)]
+ if period:
+ # chunked_pairs = [pairs0[i:i+period] for i in range(0, len(pairs0), period)]
+ # if len(chunked_pairs[-1]) < period and fillvalue:
+ # chunked_pairs[-1] += [f_grid[fillvalue]] * (period - len(chunked_pairs[-1]))
+ chunked_pairs = chunks(pairs0, period, fillvalue=None)
+ else:
+ chunked_pairs = [pairs0]
+
+ pairs1 = []
+ for c in chunked_pairs:
+ items = sum(list(list(i) for i in zip(*c)), [])
+ p = [(items[i], items[i+1]) for i in range(0, len(items), 2)]
+ pairs1 += p
+
+ return cat(r_grid[p] for p in pairs1)
+
+
+def bifid_decipher(message, keyword, wrap_alphabet=KeywordWrapAlphabet.from_a,
+ letter_mapping=None, period=None, fillvalue=None):
+ """Decipher with bifid cipher
+
+ >>> bifid_decipher('ibidonhprm', 'iguana')
+ 'indiaielly'
+ >>> bifid_decipher("ibnhgaqltm", 'iguana', period=4)
+ 'indiacurry'
+ >>> bifid_decipher("ibnhgaqltzml", 'iguana', period=4)
+ 'indiacurryxx'
+ """
+ if period:
+ if not fillvalue:
+ raise ValueError("fillvalue must be given if period is given")
+ else:
+ p_message = message + pad(len(message), period, fillvalue)
+ else:
+ p_message = message
+
+ translation, f_grid, r_grid = bifid_grid(keyword, wrap_alphabet, letter_mapping)
+
+ t_message = message.translate(translation)
+ pairs0 = [f_grid[l] for l in sanitise(t_message)]
+ if period:
+ # chunked_pairs = [pairs0[i:i+period] for i in range(0, len(pairs0), period)]
+ # if len(chunked_pairs[-1]) < period and fillvalue:
+ # chunked_pairs[-1] += [f_grid[fillvalue]] * (period - len(chunked_pairs[-1]))
+ chunked_pairs = chunks(pairs0, period, fillvalue=None)
+ else:
+ chunked_pairs = [pairs0]
+
+ pairs1 = []
+ for c in chunked_pairs:
+ items = [j for i in c for j in i]
+ gap = len(c)
+ p = [(items[i], items[i+gap]) for i in range(gap)]
+ pairs1 += p
+
+ return cat(r_grid[p] for p in pairs1)
+
+
+def bifid_break(message, wordlist=None, fitness=Pletters, max_period=10,
+ number_of_solutions=1, chunksize=500):
+ """Breaks a keyword substitution cipher using a dictionary and
+ frequency analysis
+
+ If `wordlist` is not specified, use
+ [`szyfrow.support.langauge_models.keywords`](support/language_models.html#szyfrow.support.language_models.keywords).
+
+ >>> bifid_break(bifid_encipher('this is a test message for the ' \
+ 'keyword decipherment', 'elephant', wrap_alphabet=KeywordWrapAlphabet.from_last), \
+ wordlist=['cat', 'elephant', 'kangaroo']) # doctest: +ELLIPSIS
+ (('elephant', <KeywordWrapAlphabet.from_last: 2>, 0), -52.834575011...)
+ >>> bifid_break(bifid_encipher('this is a test message for the ' \
+ 'keyword decipherment', 'elephant', wrap_alphabet=KeywordWrapAlphabet.from_last), \
+ wordlist=['cat', 'elephant', 'kangaroo'], \
+ number_of_solutions=2) # doctest: +ELLIPSIS, +NORMALIZE_WHITESPACE
+ [(('elephant', <KeywordWrapAlphabet.from_last: 2>, 0), -52.834575011...),
+ (('elephant', <KeywordWrapAlphabet.from_largest: 3>, 0), -52.834575011...)]
+ """
+ if wordlist is None:
+ wordlist = keywords
+
+ with multiprocessing.Pool() as pool:
+ helper_args = [(message, word, wrap, period, fitness)
+ for word in wordlist
+ for wrap in KeywordWrapAlphabet
+ for period in range(max_period+1)]
+ # Gotcha: the helper function here needs to be defined at the top level
+ # (limitation of Pool.starmap)
+ breaks = pool.starmap(bifid_break_worker, helper_args, chunksize)
+ if number_of_solutions == 1:
+ return max(breaks, key=lambda k: k[1])
+ else:
+ return sorted(breaks, key=lambda k: k[1], reverse=True)[:number_of_solutions]
+
+def bifid_break_worker(message, keyword, wrap_alphabet, period, fitness):
+ plaintext = bifid_decipher(message, keyword, wrap_alphabet,
+ period=period, fillvalue='e')
+ fit = fitness(plaintext)
+ return (keyword, wrap_alphabet, period), fit
+
+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.bifid.bifid_break"><code class="name flex">
+<span>def <span class="ident">bifid_break</span></span>(<span>message, wordlist=None, fitness=<function Pletters>, max_period=10, number_of_solutions=1, chunksize=500)</span>
+</code></dt>
+<dd>
+<div class="desc"><p>Breaks a keyword substitution cipher using a dictionary and
+frequency analysis</p>
+<p>If <code>wordlist</code> is not specified, use
+<a href="support/language_models.html#szyfrow.support.language_models.keywords"><code>szyfrow.support.langauge_models.keywords</code></a>.</p>
+<pre><code class="language-python-repl">>>> bifid_break(bifid_encipher('this is a test message for the ' 'keyword decipherment', 'elephant', wrap_alphabet=KeywordWrapAlphabet.from_last), wordlist=['cat', 'elephant', 'kangaroo']) # doctest: +ELLIPSIS
+(('elephant', <KeywordWrapAlphabet.from_last: 2>, 0), -52.834575011...)
+>>> bifid_break(bifid_encipher('this is a test message for the ' 'keyword decipherment', 'elephant', wrap_alphabet=KeywordWrapAlphabet.from_last), wordlist=['cat', 'elephant', 'kangaroo'], number_of_solutions=2) # doctest: +ELLIPSIS, +NORMALIZE_WHITESPACE
+[(('elephant', <KeywordWrapAlphabet.from_last: 2>, 0), -52.834575011...),
+(('elephant', <KeywordWrapAlphabet.from_largest: 3>, 0), -52.834575011...)]
+</code></pre></div>
+<details class="source">
+<summary>
+<span>Expand source code</span>
+</summary>
+<pre><code class="python">def bifid_break(message, wordlist=None, fitness=Pletters, max_period=10,
+ number_of_solutions=1, chunksize=500):
+ """Breaks a keyword substitution cipher using a dictionary and
+ frequency analysis
+
+ If `wordlist` is not specified, use
+ [`szyfrow.support.langauge_models.keywords`](support/language_models.html#szyfrow.support.language_models.keywords).
+
+ >>> bifid_break(bifid_encipher('this is a test message for the ' \
+ 'keyword decipherment', 'elephant', wrap_alphabet=KeywordWrapAlphabet.from_last), \
+ wordlist=['cat', 'elephant', 'kangaroo']) # doctest: +ELLIPSIS
+ (('elephant', <KeywordWrapAlphabet.from_last: 2>, 0), -52.834575011...)
+ >>> bifid_break(bifid_encipher('this is a test message for the ' \
+ 'keyword decipherment', 'elephant', wrap_alphabet=KeywordWrapAlphabet.from_last), \
+ wordlist=['cat', 'elephant', 'kangaroo'], \
+ number_of_solutions=2) # doctest: +ELLIPSIS, +NORMALIZE_WHITESPACE
+ [(('elephant', <KeywordWrapAlphabet.from_last: 2>, 0), -52.834575011...),
+ (('elephant', <KeywordWrapAlphabet.from_largest: 3>, 0), -52.834575011...)]
+ """
+ if wordlist is None:
+ wordlist = keywords
+
+ with multiprocessing.Pool() as pool:
+ helper_args = [(message, word, wrap, period, fitness)
+ for word in wordlist
+ for wrap in KeywordWrapAlphabet
+ for period in range(max_period+1)]
+ # Gotcha: the helper function here needs to be defined at the top level
+ # (limitation of Pool.starmap)
+ breaks = pool.starmap(bifid_break_worker, helper_args, chunksize)
+ if number_of_solutions == 1:
+ return max(breaks, key=lambda k: k[1])
+ else:
+ return sorted(breaks, key=lambda k: k[1], reverse=True)[:number_of_solutions]</code></pre>
+</details>
+</dd>
+<dt id="szyfrow.bifid.bifid_break_worker"><code class="name flex">
+<span>def <span class="ident">bifid_break_worker</span></span>(<span>message, keyword, wrap_alphabet, period, fitness)</span>
+</code></dt>
+<dd>
+<div class="desc"></div>
+<details class="source">
+<summary>
+<span>Expand source code</span>
+</summary>
+<pre><code class="python">def bifid_break_worker(message, keyword, wrap_alphabet, period, fitness):
+ plaintext = bifid_decipher(message, keyword, wrap_alphabet,
+ period=period, fillvalue='e')
+ fit = fitness(plaintext)
+ return (keyword, wrap_alphabet, period), fit</code></pre>
+</details>
+</dd>
+<dt id="szyfrow.bifid.bifid_decipher"><code class="name flex">
+<span>def <span class="ident">bifid_decipher</span></span>(<span>message, keyword, wrap_alphabet=KeywordWrapAlphabet.from_a, letter_mapping=None, period=None, fillvalue=None)</span>
+</code></dt>
+<dd>
+<div class="desc"><p>Decipher with bifid cipher</p>
+<pre><code class="language-python-repl">>>> bifid_decipher('ibidonhprm', 'iguana')
+'indiaielly'
+>>> bifid_decipher("ibnhgaqltm", 'iguana', period=4)
+'indiacurry'
+>>> bifid_decipher("ibnhgaqltzml", 'iguana', period=4)
+'indiacurryxx'
+</code></pre></div>
+<details class="source">
+<summary>
+<span>Expand source code</span>
+</summary>
+<pre><code class="python">def bifid_decipher(message, keyword, wrap_alphabet=KeywordWrapAlphabet.from_a,
+ letter_mapping=None, period=None, fillvalue=None):
+ """Decipher with bifid cipher
+
+ >>> bifid_decipher('ibidonhprm', 'iguana')
+ 'indiaielly'
+ >>> bifid_decipher("ibnhgaqltm", 'iguana', period=4)
+ 'indiacurry'
+ >>> bifid_decipher("ibnhgaqltzml", 'iguana', period=4)
+ 'indiacurryxx'
+ """
+ if period:
+ if not fillvalue:
+ raise ValueError("fillvalue must be given if period is given")
+ else:
+ p_message = message + pad(len(message), period, fillvalue)
+ else:
+ p_message = message
+
+ translation, f_grid, r_grid = bifid_grid(keyword, wrap_alphabet, letter_mapping)
+
+ t_message = message.translate(translation)
+ pairs0 = [f_grid[l] for l in sanitise(t_message)]
+ if period:
+ # chunked_pairs = [pairs0[i:i+period] for i in range(0, len(pairs0), period)]
+ # if len(chunked_pairs[-1]) < period and fillvalue:
+ # chunked_pairs[-1] += [f_grid[fillvalue]] * (period - len(chunked_pairs[-1]))
+ chunked_pairs = chunks(pairs0, period, fillvalue=None)
+ else:
+ chunked_pairs = [pairs0]
+
+ pairs1 = []
+ for c in chunked_pairs:
+ items = [j for i in c for j in i]
+ gap = len(c)
+ p = [(items[i], items[i+gap]) for i in range(gap)]
+ pairs1 += p
+
+ return cat(r_grid[p] for p in pairs1) </code></pre>
+</details>
+</dd>
+<dt id="szyfrow.bifid.bifid_encipher"><code class="name flex">
+<span>def <span class="ident">bifid_encipher</span></span>(<span>message, keyword, wrap_alphabet=KeywordWrapAlphabet.from_a, letter_mapping=None, period=None, fillvalue=None)</span>
+</code></dt>
+<dd>
+<div class="desc"><p>Bifid cipher</p>
+<pre><code class="language-python-repl">>>> bifid_encipher("indiajelly", 'iguana')
+'ibidonhprm'
+>>> bifid_encipher("indiacurry", 'iguana', period=4)
+'ibnhgaqltm'
+>>> bifid_encipher("indiacurry", 'iguana', period=4, fillvalue='x')
+'ibnhgaqltzml'
+</code></pre></div>
+<details class="source">
+<summary>
+<span>Expand source code</span>
+</summary>
+<pre><code class="python">def bifid_encipher(message, keyword, wrap_alphabet=KeywordWrapAlphabet.from_a,
+ letter_mapping=None, period=None, fillvalue=None):
+ """Bifid cipher
+
+ >>> bifid_encipher("indiajelly", 'iguana')
+ 'ibidonhprm'
+ >>> bifid_encipher("indiacurry", 'iguana', period=4)
+ 'ibnhgaqltm'
+ >>> bifid_encipher("indiacurry", 'iguana', period=4, fillvalue='x')
+ 'ibnhgaqltzml'
+ """
+
+ if period:
+ if not fillvalue:
+ raise ValueError("fillvalue must be given if period is given")
+ else:
+ p_message = message + pad(len(message), period, fillvalue)
+ else:
+ p_message = message
+
+ translation, f_grid, r_grid = bifid_grid(keyword, wrap_alphabet, letter_mapping)
+
+ t_message = p_message.translate(translation)
+ pairs0 = [f_grid[l] for l in sanitise(t_message)]
+ if period:
+ # chunked_pairs = [pairs0[i:i+period] for i in range(0, len(pairs0), period)]
+ # if len(chunked_pairs[-1]) < period and fillvalue:
+ # chunked_pairs[-1] += [f_grid[fillvalue]] * (period - len(chunked_pairs[-1]))
+ chunked_pairs = chunks(pairs0, period, fillvalue=None)
+ else:
+ chunked_pairs = [pairs0]
+
+ pairs1 = []
+ for c in chunked_pairs:
+ items = sum(list(list(i) for i in zip(*c)), [])
+ p = [(items[i], items[i+1]) for i in range(0, len(items), 2)]
+ pairs1 += p
+
+ return cat(r_grid[p] for p in pairs1)</code></pre>
+</details>
+</dd>
+<dt id="szyfrow.bifid.bifid_grid"><code class="name flex">
+<span>def <span class="ident">bifid_grid</span></span>(<span>keyword, wrap_alphabet, letter_mapping)</span>
+</code></dt>
+<dd>
+<div class="desc"><p>Create the grids for a Bifid cipher</p></div>
+<details class="source">
+<summary>
+<span>Expand source code</span>
+</summary>
+<pre><code class="python">def bifid_grid(keyword, wrap_alphabet, letter_mapping):
+ """Create the grids for a Bifid cipher
+ """
+ cipher_alphabet = keyword_cipher_alphabet_of(keyword, wrap_alphabet)
+ if letter_mapping is None:
+ letter_mapping = {'j': 'i'}
+ translation = ''.maketrans(letter_mapping)
+ cipher_alphabet = cat(collections.OrderedDict.fromkeys(cipher_alphabet.translate(translation)))
+ f_grid = {k: ((i // 5) + 1, (i % 5) + 1)
+ for i, k in enumerate(cipher_alphabet)}
+ r_grid = {((i // 5) + 1, (i % 5) + 1): k
+ for i, k in enumerate(cipher_alphabet)}
+ return translation, f_grid, r_grid</code></pre>
+</details>
+</dd>
+<dt id="szyfrow.bifid.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.bifid.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.bifid.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="two-column">
+<li><code><a title="szyfrow.bifid.bifid_break" href="#szyfrow.bifid.bifid_break">bifid_break</a></code></li>
+<li><code><a title="szyfrow.bifid.bifid_break_worker" href="#szyfrow.bifid.bifid_break_worker">bifid_break_worker</a></code></li>
+<li><code><a title="szyfrow.bifid.bifid_decipher" href="#szyfrow.bifid.bifid_decipher">bifid_decipher</a></code></li>
+<li><code><a title="szyfrow.bifid.bifid_encipher" href="#szyfrow.bifid.bifid_encipher">bifid_encipher</a></code></li>
+<li><code><a title="szyfrow.bifid.bifid_grid" href="#szyfrow.bifid.bifid_grid">bifid_grid</a></code></li>
+<li><code><a title="szyfrow.bifid.cat" href="#szyfrow.bifid.cat">cat</a></code></li>
+<li><code><a title="szyfrow.bifid.lcat" href="#szyfrow.bifid.lcat">lcat</a></code></li>
+<li><code><a title="szyfrow.bifid.wcat" href="#szyfrow.bifid.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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+<main>
+<article id="content">
+<header>
+<h1 class="title">Module <code>szyfrow.bombe</code></h1>
+</header>
+<section id="section-intro">
+<p>A simulator for Bombe machines.</p>
+<p>See <code><a title="szyfrow.enigma.Enigma" href="enigma.html#szyfrow.enigma.Enigma">Enigma</a></code> for an implementation of the Enigma to create
+messages.</p>
+<p>There is a good explanation of <a href="http://www.ellsbury.com/enigmabombe.htm">how the bombe worked</a>
+by Graham Ellsbury.</p>
+<p>In this implementation, there are <em>banks</em> of wires (what Ellsbury refers to
+as "cables"), one bank for each position that appears in the menu. A bank
+comprises 26 wires, represented as a <code>dict</code> of <code>bool</code>s, depending on whether
+that wire is live ("energised") or not.</p>
+<p>The menu, derived from the crib, determines how the scramblers connect the
+banks. A <code><a title="szyfrow.bombe.Connection" href="#szyfrow.bombe.Connection">Connection</a></code> represents this.</p>
+<details class="source">
+<summary>
+<span>Expand source code</span>
+</summary>
+<pre><code class="python">"""A simulator for Bombe machines.
+
+See `szyfrow.enigma.Enigma` for an implementation of the Enigma to create
+messages.
+
+There is a good explanation of [how the bombe worked](http://www.ellsbury.com/enigmabombe.htm)
+by Graham Ellsbury.
+
+In this implementation, there are *banks* of wires (what Ellsbury refers to
+as "cables"), one bank for each position that appears in the menu. A bank
+comprises 26 wires, represented as a `dict` of `bool`s, depending on whether
+that wire is live ("energised") or not.
+
+The menu, derived from the crib, determines how the scramblers connect the
+banks. A `Connection` represents this.
+"""
+
+import string
+import collections
+import multiprocessing
+import itertools
+import logging
+
+from szyfrow.enigma import *
+
+__pdoc__ = {}
+
+Signal = collections.namedtuple('Signal', ['bank', 'wire'])
+__pdoc__['Signal'] = """Current propogation through the Bombe indicates that
+this wire in this bank is live, and the effects need to be proogated further
+through the machine.
+"""
+__pdoc__['Signal.bank'] = """The bank of a signal."""
+__pdoc__['Signal.wire'] = """The wire of a signal."""
+
+Connection = collections.namedtuple('Connection', ['banks', 'scrambler'])
+__pdoc__['Connection'] = """A connection between banks made by a particular
+scrambler (the scrambler state given by its position in the crib).
+"""
+__pdoc__['Connection.banks'] = """A list of two items, holding the bnaks of
+a connection."""
+__pdoc__['Connection.scrambler'] = """The bnaks of a connection."""
+
+
+MenuItem = collections.namedtuple('MenuIem', ['before', 'after', 'number'])
+__pdoc__['MenuItem'] = """One item in the menu, derived from the crib.
+"""
+__pdoc__['MenuItem.before'] = "The letter before the transform (plaintext)."
+__pdoc__['MenuItem.after'] = "The letter after the transform (ciphertext)."
+__pdoc__['MenuItem.number'] = "The position of this item in the menu."
+
+
+def make_menu(plaintext, ciphertext):
+ """Create a menu from a crib: a given plaintext and ciphertext.
+
+ No validation is done to ensure that this is a viable crib (e.g. no
+ checking for length, no checking that a letter is enciphered to itself).
+ """
+ return [MenuItem(p, c, i+1)
+ for i, (p, c) in enumerate(zip(plaintext, ciphertext))]
+
+
+class Scrambler(object):
+ """A scrambler is a collection of three `szyfrow.enigma.SimpleWheel`s.
+ """
+ def __init__(self, wheel1_spec, wheel2_spec, wheel3_spec, reflector_spec,
+ wheel1_pos='a', wheel2_pos='a', wheel3_pos='a'):
+ self.wheel1 = SimpleWheel(wheel1_spec, position=wheel1_pos)
+ self.wheel2 = SimpleWheel(wheel2_spec, position=wheel2_pos)
+ self.wheel3 = SimpleWheel(wheel3_spec, position=wheel3_pos)
+ self.reflector = Reflector(reflector_spec)
+
+ __pdoc__['Scrambler.wheel_positions'] = """Return a 3-tuple of the wheel
+ positions (as numbers)"""
+ __pdoc__['Scrambler.wheel_positions_l'] = """Return a 3-tuple of the wheel
+ positions (as letters)"""
+ def __getattribute__(self, name):
+ if name=='wheel_positions':
+ return self.wheel1.position, self.wheel2.position, self.wheel3.position
+ elif name=='wheel_positions_l':
+ return self.wheel1.position_l, self.wheel2.position_l, self.wheel3.position_l
+ else:
+ return object.__getattribute__(self, name)
+
+ def advance(self, wheel1=False, wheel2=False, wheel3=True):
+ """Advance some wheels of a scrambler.
+ """
+ if wheel1: self.wheel1.advance()
+ if wheel2: self.wheel2.advance()
+ if wheel3: self.wheel3.advance()
+
+ def lookup(self, letter):
+ """Lookup the decipherment of a letter, given a particular scrambler
+ orientation.
+ """
+ a = self.wheel3.forward(letter)
+ b = self.wheel2.forward(a)
+ c = self.wheel1.forward(b)
+ d = self.reflector.forward(c)
+ e = self.wheel1.backward(d)
+ f = self.wheel2.backward(e)
+ g = self.wheel3.backward(f)
+ return g
+
+ def set_positions(self, wheel1_pos, wheel2_pos, wheel3_pos):
+ """Set the positions of a scrambler's wheels.
+ """
+ self.wheel1.set_position(wheel1_pos)
+ self.wheel2.set_position(wheel2_pos)
+ self.wheel3.set_position(wheel3_pos)
+
+
+class Bombe(object):
+ """An entire Bombe machine.
+
+ This specifies the pattern of the wheels and reflectors used. The
+ scramblers are connected and wired up according the to the specification
+ given by the menu.
+
+ Bombe objects are callable. Calling a Bombe (with the starting scrambler
+ positions) calls the `test` method and returns the pair of
+ `start_positions` and the result of `test`.
+
+ Bombe objects have attributes `wheel_positions` and `wheel_positions_l`,
+ which return the results of the scramblers' `Scrambler.wheel_positions`
+ and `Scrambler.wheel_positions_l`.
+ """
+
+ def __init__(self, wheel1_spec, wheel2_spec, wheel3_spec, reflector_spec,
+ menu=None, start_signal=None, use_diagonal_board=True,
+ verify_plugboard=True):
+ self.connections = []
+ self.wheel1_spec = wheel1_spec
+ self.wheel2_spec = wheel2_spec
+ self.wheel3_spec = wheel3_spec
+ self.reflector_spec = reflector_spec
+ if menu:
+ self.read_menu(menu)
+ if start_signal:
+ self.test_start = start_signal
+ self.use_diagonal_board = use_diagonal_board
+ self.verify_plugboard = verify_plugboard
+
+ __pdoc__['Bombe.wheel_positions'] = """Return a 3-tuple of the wheel
+ positions (as numbers)"""
+ __pdoc__['Bomb3.wheel_positions_l'] = """Return a 3-tuple of the wheel
+ positions (as letters)"""
+ def __getattribute__(self, name):
+ if name=='wheel_positions':
+ return self.connections[0].scrambler.wheel_positions
+ elif name=='wheel_positions_l':
+ return self.connections[0].scrambler.wheel_positions_l
+ else:
+ return object.__getattribute__(self, name)
+
+ def __call__(self, start_positions):
+ return start_positions, self.test(initial_signal=self.test_start,
+ start_positions=start_positions,
+ use_diagonal_board=self.use_diagonal_board,
+ verify_plugboard=self.verify_plugboard)
+
+ def add_connection(self, bank_before, bank_after, scrambler):
+ """Create a new connection between banks.
+ """
+ self.connections += [Connection([bank_before, bank_after], scrambler)]
+
+ def read_menu(self, menu):
+ """Read a menu, creating one scrambler for each element of the menu
+ and setting up the connections it implies. Also defines the most
+ common letter in the menu's plaintext as the default letter to start
+ testing with."""
+ self.connections = []
+ for item in menu:
+ scrambler = Scrambler(self.wheel1_spec, self.wheel2_spec, self.wheel3_spec,
+ self.reflector_spec,
+ wheel3_pos=unpos(item.number - 1))
+ self.add_connection(item.before, item.after, scrambler)
+ most_common_letter = (collections.Counter(m.before for m in menu) +\
+ collections.Counter(m.after for m in menu)).most_common(1)[0][0]
+ self.test_start = Signal(most_common_letter, most_common_letter)
+
+ def set_positions(self, wheel1_pos, wheel2_pos, wheel3_pos):
+ """Set positions of all scramblers. The first scrambler will be set
+ to the specified positions. The second scrambler will have its
+ third wheel advanced one position; the third scramber will have its
+ third wheel advanced two positios; and so on. Not that the first and
+ second wheels of the scramblers are never advanced in setup."""
+ for i, c in enumerate(self.connections):
+ c.scrambler.set_positions(wheel1_pos, wheel2_pos, unpos(pos(wheel3_pos) + i))
+
+ def test(self, initial_signal=None, start_positions=None, use_diagonal_board=True,
+ verify_plugboard=True):
+ """Test a scrambler setting. It creates a signal (held in
+ `self.pending`) on the `initial_signal` wire then uses
+ `Bombe.propagate` to propagate the signal across the Bombe.
+
+ Returns a Boolean recording if this scrambler setting with
+ this signal is a "stop" (potential valid scrambler setting).
+
+ * If `initial_signal` is `None`, use the default starting signal set in
+ `Bombe.read_menu`
+ * If `start_positions` is `None`, use the existing scramber positions."""
+ self.banks = {label:
+ dict(zip(string.ascii_lowercase,
+ [False]*len(string.ascii_lowercase)))
+ for label in string.ascii_lowercase}
+ if start_positions:
+ self.set_positions(*start_positions)
+ if not initial_signal:
+ initial_signal = self.test_start
+ self.pending = [initial_signal]
+ self.propagate(use_diagonal_board)
+ live_wire_count = len([self.banks[self.test_start.bank][w]
+ for w in self.banks[self.test_start.bank]
+ if self.banks[self.test_start.bank][w]])
+ if live_wire_count < 26:
+ if verify_plugboard:
+ possibles = self.possible_plugboards()
+ return all(s0.isdisjoint(s1)
+ for s0 in possibles
+ for s1 in possibles
+ if s0 != s1)
+ else:
+ return True
+ else:
+ return False
+
+ def propagate(self, use_diagonal_board):
+ """Propagate a signal through the Bombe. Uses `self.pending` as an
+ agenda for a breadth-first search. Each element on the agenda represents
+ a particular wire in a bank that is being "energised" (set to `True`).
+ The first element in the agenda is removed, the wire/bank is set,
+ then all connected wire/banks are added to the `self.pending`
+ agenda.
+ """
+ while self.pending:
+ current = self.pending[0]
+ # print("processing", current)
+ self.pending = self.pending[1:]
+ if not self.banks[current.bank][current.wire]:
+ self.banks[current.bank][current.wire] = True
+ if use_diagonal_board:
+ self.pending += [Signal(current.wire, current.bank)]
+ for c in self.connections:
+ if current.bank in c.banks:
+ other_bank = [b for b in c.banks if b != current.bank][0]
+ other_wire = c.scrambler.lookup(current.wire)
+ # print(" adding", other_bank, other_wire, "because", c.banks)
+ self.pending += [Signal(other_bank, other_wire)]
+
+ def run(self, run_start=None, wheel1_pos='a', wheel2_pos='a', wheel3_pos='a',
+ use_diagonal_board=True):
+ """Run a Bombe after setup with a menu, by trying all scramber
+ positions. For each scrambler position, `Bombe.test` is run. If the
+ test is successful, the scrambler positiions are added to `self.solutions`.
+ `self.Solutions` is returned.
+ """
+ if not run_start:
+ run_start = self.test_start
+ self.solutions = []
+ self.set_positions(wheel1_pos, wheel2_pos, wheel3_pos)
+ for run_index in range(26*26*26):
+ if self.test(initial_signal=run_start, use_diagonal_board=use_diagonal_board):
+ self.solutions += [self.connections[0].scrambler.wheel_positions_l]
+ advance3 = True
+ advance2 = False
+ advance1 = False
+ if (run_index + 1) % 26 == 0: advance2 = True
+ if (run_index + 1) % (26*26) == 0: advance1 = True
+ for c in self.connections:
+ c.scrambler.advance(advance1, advance2, advance3)
+ return self.solutions
+
+ def possible_plugboards(self):
+ """Given a Bombe after a `Bombe.test` has been performed, determine
+ what plugboard settings can be derived from the solution.
+ """
+ possibles = set()
+ for b in self.banks:
+ active = [w for w in self.banks[b] if self.banks[b][w]]
+ inactive = [w for w in self.banks[b] if not self.banks[b][w]]
+ if len(active) == 1:
+ possibles = possibles.union({frozenset((b, active[0]))})
+ if len(inactive) == 1:
+ possibles = possibles.union({frozenset((b, inactive[0]))})
+ return possibles
+
+
+def run_multi_bombe(wheel1_spec, wheel2_spec, wheel3_spec, reflector_spec, menu,
+ start_signal=None, use_diagonal_board=True,
+ verify_plugboard=True):
+ """Run a Bombe solution, spreading the load across multiple CPU cores.
+ Similar to `Bombe.run` in effects, but quicker on a multi-core machine.
+ """
+ allwheels = itertools.product(string.ascii_lowercase, repeat=3)
+
+ with multiprocessing.Pool() as pool:
+ res = pool.map(Bombe(wheel1_spec, wheel2_spec, wheel3_spec,
+ reflector_spec, menu=menu, start_signal=start_signal,
+ use_diagonal_board=use_diagonal_board,
+ verify_plugboard=verify_plugboard),
+ allwheels)
+ return [r[0] for r in res if r[1]]</code></pre>
+</details>
+</section>
+<section>
+</section>
+<section>
+</section>
+<section>
+<h2 class="section-title" id="header-functions">Functions</h2>
+<dl>
+<dt id="szyfrow.bombe.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.bombe.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.bombe.make_menu"><code class="name flex">
+<span>def <span class="ident">make_menu</span></span>(<span>plaintext, ciphertext)</span>
+</code></dt>
+<dd>
+<div class="desc"><p>Create a menu from a crib: a given plaintext and ciphertext.</p>
+<p>No validation is done to ensure that this is a viable crib (e.g. no
+checking for length, no checking that a letter is enciphered to itself).</p></div>
+<details class="source">
+<summary>
+<span>Expand source code</span>
+</summary>
+<pre><code class="python">def make_menu(plaintext, ciphertext):
+ """Create a menu from a crib: a given plaintext and ciphertext.
+
+ No validation is done to ensure that this is a viable crib (e.g. no
+ checking for length, no checking that a letter is enciphered to itself).
+ """
+ return [MenuItem(p, c, i+1)
+ for i, (p, c) in enumerate(zip(plaintext, ciphertext))]</code></pre>
+</details>
+</dd>
+<dt id="szyfrow.bombe.run_multi_bombe"><code class="name flex">
+<span>def <span class="ident">run_multi_bombe</span></span>(<span>wheel1_spec, wheel2_spec, wheel3_spec, reflector_spec, menu, start_signal=None, use_diagonal_board=True, verify_plugboard=True)</span>
+</code></dt>
+<dd>
+<div class="desc"><p>Run a Bombe solution, spreading the load across multiple CPU cores.
+Similar to <code><a title="szyfrow.bombe.Bombe.run" href="#szyfrow.bombe.Bombe.run">Bombe.run()</a></code> in effects, but quicker on a multi-core machine.</p></div>
+<details class="source">
+<summary>
+<span>Expand source code</span>
+</summary>
+<pre><code class="python">def run_multi_bombe(wheel1_spec, wheel2_spec, wheel3_spec, reflector_spec, menu,
+ start_signal=None, use_diagonal_board=True,
+ verify_plugboard=True):
+ """Run a Bombe solution, spreading the load across multiple CPU cores.
+ Similar to `Bombe.run` in effects, but quicker on a multi-core machine.
+ """
+ allwheels = itertools.product(string.ascii_lowercase, repeat=3)
+
+ with multiprocessing.Pool() as pool:
+ res = pool.map(Bombe(wheel1_spec, wheel2_spec, wheel3_spec,
+ reflector_spec, menu=menu, start_signal=start_signal,
+ use_diagonal_board=use_diagonal_board,
+ verify_plugboard=verify_plugboard),
+ allwheels)
+ return [r[0] for r in res if r[1]]</code></pre>
+</details>
+</dd>
+<dt id="szyfrow.bombe.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>
+<h2 class="section-title" id="header-classes">Classes</h2>
+<dl>
+<dt id="szyfrow.bombe.Bombe"><code class="flex name class">
+<span>class <span class="ident">Bombe</span></span>
+<span>(</span><span>wheel1_spec, wheel2_spec, wheel3_spec, reflector_spec, menu=None, start_signal=None, use_diagonal_board=True, verify_plugboard=True)</span>
+</code></dt>
+<dd>
+<div class="desc"><p>An entire Bombe machine.</p>
+<p>This specifies the pattern of the wheels and reflectors used. The
+scramblers are connected and wired up according the to the specification
+given by the menu. </p>
+<p>Bombe objects are callable. Calling a Bombe (with the starting scrambler
+positions) calls the <code>test</code> method and
+returns the pair of
+<code>start_positions</code> and the result of <code>test</code>.</p>
+<p>Bombe objects have attributes <code>wheel_positions</code> and <code>wheel_positions_l</code>,
+which return the results of the scramblers' <code>Scrambler.wheel_positions</code>
+and <code>Scrambler.wheel_positions_l</code>.</p></div>
+<details class="source">
+<summary>
+<span>Expand source code</span>
+</summary>
+<pre><code class="python">class Bombe(object):
+ """An entire Bombe machine.
+
+ This specifies the pattern of the wheels and reflectors used. The
+ scramblers are connected and wired up according the to the specification
+ given by the menu.
+
+ Bombe objects are callable. Calling a Bombe (with the starting scrambler
+ positions) calls the `test` method and returns the pair of
+ `start_positions` and the result of `test`.
+
+ Bombe objects have attributes `wheel_positions` and `wheel_positions_l`,
+ which return the results of the scramblers' `Scrambler.wheel_positions`
+ and `Scrambler.wheel_positions_l`.
+ """
+
+ def __init__(self, wheel1_spec, wheel2_spec, wheel3_spec, reflector_spec,
+ menu=None, start_signal=None, use_diagonal_board=True,
+ verify_plugboard=True):
+ self.connections = []
+ self.wheel1_spec = wheel1_spec
+ self.wheel2_spec = wheel2_spec
+ self.wheel3_spec = wheel3_spec
+ self.reflector_spec = reflector_spec
+ if menu:
+ self.read_menu(menu)
+ if start_signal:
+ self.test_start = start_signal
+ self.use_diagonal_board = use_diagonal_board
+ self.verify_plugboard = verify_plugboard
+
+ __pdoc__['Bombe.wheel_positions'] = """Return a 3-tuple of the wheel
+ positions (as numbers)"""
+ __pdoc__['Bomb3.wheel_positions_l'] = """Return a 3-tuple of the wheel
+ positions (as letters)"""
+ def __getattribute__(self, name):
+ if name=='wheel_positions':
+ return self.connections[0].scrambler.wheel_positions
+ elif name=='wheel_positions_l':
+ return self.connections[0].scrambler.wheel_positions_l
+ else:
+ return object.__getattribute__(self, name)
+
+ def __call__(self, start_positions):
+ return start_positions, self.test(initial_signal=self.test_start,
+ start_positions=start_positions,
+ use_diagonal_board=self.use_diagonal_board,
+ verify_plugboard=self.verify_plugboard)
+
+ def add_connection(self, bank_before, bank_after, scrambler):
+ """Create a new connection between banks.
+ """
+ self.connections += [Connection([bank_before, bank_after], scrambler)]
+
+ def read_menu(self, menu):
+ """Read a menu, creating one scrambler for each element of the menu
+ and setting up the connections it implies. Also defines the most
+ common letter in the menu's plaintext as the default letter to start
+ testing with."""
+ self.connections = []
+ for item in menu:
+ scrambler = Scrambler(self.wheel1_spec, self.wheel2_spec, self.wheel3_spec,
+ self.reflector_spec,
+ wheel3_pos=unpos(item.number - 1))
+ self.add_connection(item.before, item.after, scrambler)
+ most_common_letter = (collections.Counter(m.before for m in menu) +\
+ collections.Counter(m.after for m in menu)).most_common(1)[0][0]
+ self.test_start = Signal(most_common_letter, most_common_letter)
+
+ def set_positions(self, wheel1_pos, wheel2_pos, wheel3_pos):
+ """Set positions of all scramblers. The first scrambler will be set
+ to the specified positions. The second scrambler will have its
+ third wheel advanced one position; the third scramber will have its
+ third wheel advanced two positios; and so on. Not that the first and
+ second wheels of the scramblers are never advanced in setup."""
+ for i, c in enumerate(self.connections):
+ c.scrambler.set_positions(wheel1_pos, wheel2_pos, unpos(pos(wheel3_pos) + i))
+
+ def test(self, initial_signal=None, start_positions=None, use_diagonal_board=True,
+ verify_plugboard=True):
+ """Test a scrambler setting. It creates a signal (held in
+ `self.pending`) on the `initial_signal` wire then uses
+ `Bombe.propagate` to propagate the signal across the Bombe.
+
+ Returns a Boolean recording if this scrambler setting with
+ this signal is a "stop" (potential valid scrambler setting).
+
+ * If `initial_signal` is `None`, use the default starting signal set in
+ `Bombe.read_menu`
+ * If `start_positions` is `None`, use the existing scramber positions."""
+ self.banks = {label:
+ dict(zip(string.ascii_lowercase,
+ [False]*len(string.ascii_lowercase)))
+ for label in string.ascii_lowercase}
+ if start_positions:
+ self.set_positions(*start_positions)
+ if not initial_signal:
+ initial_signal = self.test_start
+ self.pending = [initial_signal]
+ self.propagate(use_diagonal_board)
+ live_wire_count = len([self.banks[self.test_start.bank][w]
+ for w in self.banks[self.test_start.bank]
+ if self.banks[self.test_start.bank][w]])
+ if live_wire_count < 26:
+ if verify_plugboard:
+ possibles = self.possible_plugboards()
+ return all(s0.isdisjoint(s1)
+ for s0 in possibles
+ for s1 in possibles
+ if s0 != s1)
+ else:
+ return True
+ else:
+ return False
+
+ def propagate(self, use_diagonal_board):
+ """Propagate a signal through the Bombe. Uses `self.pending` as an
+ agenda for a breadth-first search. Each element on the agenda represents
+ a particular wire in a bank that is being "energised" (set to `True`).
+ The first element in the agenda is removed, the wire/bank is set,
+ then all connected wire/banks are added to the `self.pending`
+ agenda.
+ """
+ while self.pending:
+ current = self.pending[0]
+ # print("processing", current)
+ self.pending = self.pending[1:]
+ if not self.banks[current.bank][current.wire]:
+ self.banks[current.bank][current.wire] = True
+ if use_diagonal_board:
+ self.pending += [Signal(current.wire, current.bank)]
+ for c in self.connections:
+ if current.bank in c.banks:
+ other_bank = [b for b in c.banks if b != current.bank][0]
+ other_wire = c.scrambler.lookup(current.wire)
+ # print(" adding", other_bank, other_wire, "because", c.banks)
+ self.pending += [Signal(other_bank, other_wire)]
+
+ def run(self, run_start=None, wheel1_pos='a', wheel2_pos='a', wheel3_pos='a',
+ use_diagonal_board=True):
+ """Run a Bombe after setup with a menu, by trying all scramber
+ positions. For each scrambler position, `Bombe.test` is run. If the
+ test is successful, the scrambler positiions are added to `self.solutions`.
+ `self.Solutions` is returned.
+ """
+ if not run_start:
+ run_start = self.test_start
+ self.solutions = []
+ self.set_positions(wheel1_pos, wheel2_pos, wheel3_pos)
+ for run_index in range(26*26*26):
+ if self.test(initial_signal=run_start, use_diagonal_board=use_diagonal_board):
+ self.solutions += [self.connections[0].scrambler.wheel_positions_l]
+ advance3 = True
+ advance2 = False
+ advance1 = False
+ if (run_index + 1) % 26 == 0: advance2 = True
+ if (run_index + 1) % (26*26) == 0: advance1 = True
+ for c in self.connections:
+ c.scrambler.advance(advance1, advance2, advance3)
+ return self.solutions
+
+ def possible_plugboards(self):
+ """Given a Bombe after a `Bombe.test` has been performed, determine
+ what plugboard settings can be derived from the solution.
+ """
+ possibles = set()
+ for b in self.banks:
+ active = [w for w in self.banks[b] if self.banks[b][w]]
+ inactive = [w for w in self.banks[b] if not self.banks[b][w]]
+ if len(active) == 1:
+ possibles = possibles.union({frozenset((b, active[0]))})
+ if len(inactive) == 1:
+ possibles = possibles.union({frozenset((b, inactive[0]))})
+ return possibles</code></pre>
+</details>
+<h3>Methods</h3>
+<dl>
+<dt id="szyfrow.bombe.Bombe.add_connection"><code class="name flex">
+<span>def <span class="ident">add_connection</span></span>(<span>self, bank_before, bank_after, scrambler)</span>
+</code></dt>
+<dd>
+<div class="desc"><p>Create a new connection between banks.</p></div>
+<details class="source">
+<summary>
+<span>Expand source code</span>
+</summary>
+<pre><code class="python">def add_connection(self, bank_before, bank_after, scrambler):
+ """Create a new connection between banks.
+ """
+ self.connections += [Connection([bank_before, bank_after], scrambler)]</code></pre>
+</details>
+</dd>
+<dt id="szyfrow.bombe.Bombe.possible_plugboards"><code class="name flex">
+<span>def <span class="ident">possible_plugboards</span></span>(<span>self)</span>
+</code></dt>
+<dd>
+<div class="desc"><p>Given a Bombe after a <code><a title="szyfrow.bombe.Bombe.test" href="#szyfrow.bombe.Bombe.test">Bombe.test()</a></code> has been performed, determine
+what plugboard settings can be derived from the solution.</p></div>
+<details class="source">
+<summary>
+<span>Expand source code</span>
+</summary>
+<pre><code class="python">def possible_plugboards(self):
+ """Given a Bombe after a `Bombe.test` has been performed, determine
+ what plugboard settings can be derived from the solution.
+ """
+ possibles = set()
+ for b in self.banks:
+ active = [w for w in self.banks[b] if self.banks[b][w]]
+ inactive = [w for w in self.banks[b] if not self.banks[b][w]]
+ if len(active) == 1:
+ possibles = possibles.union({frozenset((b, active[0]))})
+ if len(inactive) == 1:
+ possibles = possibles.union({frozenset((b, inactive[0]))})
+ return possibles</code></pre>
+</details>
+</dd>
+<dt id="szyfrow.bombe.Bombe.propagate"><code class="name flex">
+<span>def <span class="ident">propagate</span></span>(<span>self, use_diagonal_board)</span>
+</code></dt>
+<dd>
+<div class="desc"><p>Propagate a signal through the Bombe. Uses <code>self.pending</code> as an
+agenda for a breadth-first search. Each element on the agenda represents
+a particular wire in a bank that is being "energised" (set to <code>True</code>).
+The first element in the agenda is removed, the wire/bank is set,
+then all connected wire/banks are added to the <code>self.pending</code>
+agenda.</p></div>
+<details class="source">
+<summary>
+<span>Expand source code</span>
+</summary>
+<pre><code class="python">def propagate(self, use_diagonal_board):
+ """Propagate a signal through the Bombe. Uses `self.pending` as an
+ agenda for a breadth-first search. Each element on the agenda represents
+ a particular wire in a bank that is being "energised" (set to `True`).
+ The first element in the agenda is removed, the wire/bank is set,
+ then all connected wire/banks are added to the `self.pending`
+ agenda.
+ """
+ while self.pending:
+ current = self.pending[0]
+ # print("processing", current)
+ self.pending = self.pending[1:]
+ if not self.banks[current.bank][current.wire]:
+ self.banks[current.bank][current.wire] = True
+ if use_diagonal_board:
+ self.pending += [Signal(current.wire, current.bank)]
+ for c in self.connections:
+ if current.bank in c.banks:
+ other_bank = [b for b in c.banks if b != current.bank][0]
+ other_wire = c.scrambler.lookup(current.wire)
+ # print(" adding", other_bank, other_wire, "because", c.banks)
+ self.pending += [Signal(other_bank, other_wire)]</code></pre>
+</details>
+</dd>
+<dt id="szyfrow.bombe.Bombe.read_menu"><code class="name flex">
+<span>def <span class="ident">read_menu</span></span>(<span>self, menu)</span>
+</code></dt>
+<dd>
+<div class="desc"><p>Read a menu, creating one scrambler for each element of the menu
+and setting up the connections it implies. Also defines the most
+common letter in the menu's plaintext as the default letter to start
+testing with.</p></div>
+<details class="source">
+<summary>
+<span>Expand source code</span>
+</summary>
+<pre><code class="python">def read_menu(self, menu):
+ """Read a menu, creating one scrambler for each element of the menu
+ and setting up the connections it implies. Also defines the most
+ common letter in the menu's plaintext as the default letter to start
+ testing with."""
+ self.connections = []
+ for item in menu:
+ scrambler = Scrambler(self.wheel1_spec, self.wheel2_spec, self.wheel3_spec,
+ self.reflector_spec,
+ wheel3_pos=unpos(item.number - 1))
+ self.add_connection(item.before, item.after, scrambler)
+ most_common_letter = (collections.Counter(m.before for m in menu) +\
+ collections.Counter(m.after for m in menu)).most_common(1)[0][0]
+ self.test_start = Signal(most_common_letter, most_common_letter)</code></pre>
+</details>
+</dd>
+<dt id="szyfrow.bombe.Bombe.run"><code class="name flex">
+<span>def <span class="ident">run</span></span>(<span>self, run_start=None, wheel1_pos='a', wheel2_pos='a', wheel3_pos='a', use_diagonal_board=True)</span>
+</code></dt>
+<dd>
+<div class="desc"><p>Run a Bombe after setup with a menu, by trying all scramber
+positions. For each scrambler position, <code><a title="szyfrow.bombe.Bombe.test" href="#szyfrow.bombe.Bombe.test">Bombe.test()</a></code> is run. If the
+test is successful, the scrambler positiions are added to <code>self.solutions</code>.
+<code>self.Solutions</code> is returned.</p></div>
+<details class="source">
+<summary>
+<span>Expand source code</span>
+</summary>
+<pre><code class="python">def run(self, run_start=None, wheel1_pos='a', wheel2_pos='a', wheel3_pos='a',
+ use_diagonal_board=True):
+ """Run a Bombe after setup with a menu, by trying all scramber
+ positions. For each scrambler position, `Bombe.test` is run. If the
+ test is successful, the scrambler positiions are added to `self.solutions`.
+ `self.Solutions` is returned.
+ """
+ if not run_start:
+ run_start = self.test_start
+ self.solutions = []
+ self.set_positions(wheel1_pos, wheel2_pos, wheel3_pos)
+ for run_index in range(26*26*26):
+ if self.test(initial_signal=run_start, use_diagonal_board=use_diagonal_board):
+ self.solutions += [self.connections[0].scrambler.wheel_positions_l]
+ advance3 = True
+ advance2 = False
+ advance1 = False
+ if (run_index + 1) % 26 == 0: advance2 = True
+ if (run_index + 1) % (26*26) == 0: advance1 = True
+ for c in self.connections:
+ c.scrambler.advance(advance1, advance2, advance3)
+ return self.solutions</code></pre>
+</details>
+</dd>
+<dt id="szyfrow.bombe.Bombe.set_positions"><code class="name flex">
+<span>def <span class="ident">set_positions</span></span>(<span>self, wheel1_pos, wheel2_pos, wheel3_pos)</span>
+</code></dt>
+<dd>
+<div class="desc"><p>Set positions of all scramblers. The first scrambler will be set
+to the specified positions. The second scrambler will have its
+third wheel advanced one position; the third scramber will have its
+third wheel advanced two positios; and so on. Not that the first and
+second wheels of the scramblers are never advanced in setup.</p></div>
+<details class="source">
+<summary>
+<span>Expand source code</span>
+</summary>
+<pre><code class="python">def set_positions(self, wheel1_pos, wheel2_pos, wheel3_pos):
+ """Set positions of all scramblers. The first scrambler will be set
+ to the specified positions. The second scrambler will have its
+ third wheel advanced one position; the third scramber will have its
+ third wheel advanced two positios; and so on. Not that the first and
+ second wheels of the scramblers are never advanced in setup."""
+ for i, c in enumerate(self.connections):
+ c.scrambler.set_positions(wheel1_pos, wheel2_pos, unpos(pos(wheel3_pos) + i))</code></pre>
+</details>
+</dd>
+<dt id="szyfrow.bombe.Bombe.test"><code class="name flex">
+<span>def <span class="ident">test</span></span>(<span>self, initial_signal=None, start_positions=None, use_diagonal_board=True, verify_plugboard=True)</span>
+</code></dt>
+<dd>
+<div class="desc"><p>Test a scrambler setting. It creates a signal (held in
+<code>self.pending</code>) on the <code>initial_signal</code> wire then uses
+<code><a title="szyfrow.bombe.Bombe.propagate" href="#szyfrow.bombe.Bombe.propagate">Bombe.propagate()</a></code> to propagate the signal across the Bombe. </p>
+<p>Returns a Boolean recording if this scrambler setting with
+this signal is a "stop" (potential valid scrambler setting).</p>
+<ul>
+<li>If <code>initial_signal</code> is <code>None</code>, use the default starting signal set in
+<code><a title="szyfrow.bombe.Bombe.read_menu" href="#szyfrow.bombe.Bombe.read_menu">Bombe.read_menu()</a></code></li>
+<li>If <code>start_positions</code> is <code>None</code>, use the existing scramber positions.</li>
+</ul></div>
+<details class="source">
+<summary>
+<span>Expand source code</span>
+</summary>
+<pre><code class="python">def test(self, initial_signal=None, start_positions=None, use_diagonal_board=True,
+ verify_plugboard=True):
+ """Test a scrambler setting. It creates a signal (held in
+ `self.pending`) on the `initial_signal` wire then uses
+ `Bombe.propagate` to propagate the signal across the Bombe.
+
+ Returns a Boolean recording if this scrambler setting with
+ this signal is a "stop" (potential valid scrambler setting).
+
+ * If `initial_signal` is `None`, use the default starting signal set in
+ `Bombe.read_menu`
+ * If `start_positions` is `None`, use the existing scramber positions."""
+ self.banks = {label:
+ dict(zip(string.ascii_lowercase,
+ [False]*len(string.ascii_lowercase)))
+ for label in string.ascii_lowercase}
+ if start_positions:
+ self.set_positions(*start_positions)
+ if not initial_signal:
+ initial_signal = self.test_start
+ self.pending = [initial_signal]
+ self.propagate(use_diagonal_board)
+ live_wire_count = len([self.banks[self.test_start.bank][w]
+ for w in self.banks[self.test_start.bank]
+ if self.banks[self.test_start.bank][w]])
+ if live_wire_count < 26:
+ if verify_plugboard:
+ possibles = self.possible_plugboards()
+ return all(s0.isdisjoint(s1)
+ for s0 in possibles
+ for s1 in possibles
+ if s0 != s1)
+ else:
+ return True
+ else:
+ return False</code></pre>
+</details>
+</dd>
+</dl>
+</dd>
+<dt id="szyfrow.bombe.Connection"><code class="flex name class">
+<span>class <span class="ident">Connection</span></span>
+<span>(</span><span>banks, scrambler)</span>
+</code></dt>
+<dd>
+<div class="desc"><p>A connection between banks made by a particular
+scrambler (the scrambler state given by its position in the crib).</p></div>
+<h3>Ancestors</h3>
+<ul class="hlist">
+<li>builtins.tuple</li>
+</ul>
+<h3>Instance variables</h3>
+<dl>
+<dt id="szyfrow.bombe.Connection.banks"><code class="name">var <span class="ident">banks</span></code></dt>
+<dd>
+<div class="desc"><p>A list of two items, holding the bnaks of
+a connection.</p></div>
+</dd>
+<dt id="szyfrow.bombe.Connection.scrambler"><code class="name">var <span class="ident">scrambler</span></code></dt>
+<dd>
+<div class="desc"><p>The bnaks of a connection.</p></div>
+</dd>
+</dl>
+</dd>
+<dt id="szyfrow.bombe.MenuIem"><code class="flex name class">
+<span>class <span class="ident">MenuItem</span></span>
+<span>(</span><span>before, after, number)</span>
+</code></dt>
+<dd>
+<div class="desc"><p>MenuIem(before, after, number)</p></div>
+<h3>Ancestors</h3>
+<ul class="hlist">
+<li>builtins.tuple</li>
+</ul>
+<h3>Instance variables</h3>
+<dl>
+<dt id="szyfrow.bombe.MenuIem.after"><code class="name">var <span class="ident">after</span></code></dt>
+<dd>
+<div class="desc"><p>Alias for field number 1</p></div>
+</dd>
+<dt id="szyfrow.bombe.MenuIem.before"><code class="name">var <span class="ident">before</span></code></dt>
+<dd>
+<div class="desc"><p>Alias for field number 0</p></div>
+</dd>
+<dt id="szyfrow.bombe.MenuIem.number"><code class="name">var <span class="ident">number</span></code></dt>
+<dd>
+<div class="desc"><p>Alias for field number 2</p></div>
+</dd>
+</dl>
+</dd>
+<dt id="szyfrow.bombe.Scrambler"><code class="flex name class">
+<span>class <span class="ident">Scrambler</span></span>
+<span>(</span><span>wheel1_spec, wheel2_spec, wheel3_spec, reflector_spec, wheel1_pos='a', wheel2_pos='a', wheel3_pos='a')</span>
+</code></dt>
+<dd>
+<div class="desc"><p>A scrambler is a collection of three <code><a title="szyfrow.enigma.SimpleWheel" href="enigma.html#szyfrow.enigma.SimpleWheel">SimpleWheel</a></code>s.</p></div>
+<details class="source">
+<summary>
+<span>Expand source code</span>
+</summary>
+<pre><code class="python">class Scrambler(object):
+ """A scrambler is a collection of three `szyfrow.enigma.SimpleWheel`s.
+ """
+ def __init__(self, wheel1_spec, wheel2_spec, wheel3_spec, reflector_spec,
+ wheel1_pos='a', wheel2_pos='a', wheel3_pos='a'):
+ self.wheel1 = SimpleWheel(wheel1_spec, position=wheel1_pos)
+ self.wheel2 = SimpleWheel(wheel2_spec, position=wheel2_pos)
+ self.wheel3 = SimpleWheel(wheel3_spec, position=wheel3_pos)
+ self.reflector = Reflector(reflector_spec)
+
+ __pdoc__['Scrambler.wheel_positions'] = """Return a 3-tuple of the wheel
+ positions (as numbers)"""
+ __pdoc__['Scrambler.wheel_positions_l'] = """Return a 3-tuple of the wheel
+ positions (as letters)"""
+ def __getattribute__(self, name):
+ if name=='wheel_positions':
+ return self.wheel1.position, self.wheel2.position, self.wheel3.position
+ elif name=='wheel_positions_l':
+ return self.wheel1.position_l, self.wheel2.position_l, self.wheel3.position_l
+ else:
+ return object.__getattribute__(self, name)
+
+ def advance(self, wheel1=False, wheel2=False, wheel3=True):
+ """Advance some wheels of a scrambler.
+ """
+ if wheel1: self.wheel1.advance()
+ if wheel2: self.wheel2.advance()
+ if wheel3: self.wheel3.advance()
+
+ def lookup(self, letter):
+ """Lookup the decipherment of a letter, given a particular scrambler
+ orientation.
+ """
+ a = self.wheel3.forward(letter)
+ b = self.wheel2.forward(a)
+ c = self.wheel1.forward(b)
+ d = self.reflector.forward(c)
+ e = self.wheel1.backward(d)
+ f = self.wheel2.backward(e)
+ g = self.wheel3.backward(f)
+ return g
+
+ def set_positions(self, wheel1_pos, wheel2_pos, wheel3_pos):
+ """Set the positions of a scrambler's wheels.
+ """
+ self.wheel1.set_position(wheel1_pos)
+ self.wheel2.set_position(wheel2_pos)
+ self.wheel3.set_position(wheel3_pos) </code></pre>
+</details>
+<h3>Methods</h3>
+<dl>
+<dt id="szyfrow.bombe.Scrambler.advance"><code class="name flex">
+<span>def <span class="ident">advance</span></span>(<span>self, wheel1=False, wheel2=False, wheel3=True)</span>
+</code></dt>
+<dd>
+<div class="desc"><p>Advance some wheels of a scrambler.</p></div>
+<details class="source">
+<summary>
+<span>Expand source code</span>
+</summary>
+<pre><code class="python">def advance(self, wheel1=False, wheel2=False, wheel3=True):
+ """Advance some wheels of a scrambler.
+ """
+ if wheel1: self.wheel1.advance()
+ if wheel2: self.wheel2.advance()
+ if wheel3: self.wheel3.advance()</code></pre>
+</details>
+</dd>
+<dt id="szyfrow.bombe.Scrambler.lookup"><code class="name flex">
+<span>def <span class="ident">lookup</span></span>(<span>self, letter)</span>
+</code></dt>
+<dd>
+<div class="desc"><p>Lookup the decipherment of a letter, given a particular scrambler
+orientation.</p></div>
+<details class="source">
+<summary>
+<span>Expand source code</span>
+</summary>
+<pre><code class="python">def lookup(self, letter):
+ """Lookup the decipherment of a letter, given a particular scrambler
+ orientation.
+ """
+ a = self.wheel3.forward(letter)
+ b = self.wheel2.forward(a)
+ c = self.wheel1.forward(b)
+ d = self.reflector.forward(c)
+ e = self.wheel1.backward(d)
+ f = self.wheel2.backward(e)
+ g = self.wheel3.backward(f)
+ return g</code></pre>
+</details>
+</dd>
+<dt id="szyfrow.bombe.Scrambler.set_positions"><code class="name flex">
+<span>def <span class="ident">set_positions</span></span>(<span>self, wheel1_pos, wheel2_pos, wheel3_pos)</span>
+</code></dt>
+<dd>
+<div class="desc"><p>Set the positions of a scrambler's wheels.</p></div>
+<details class="source">
+<summary>
+<span>Expand source code</span>
+</summary>
+<pre><code class="python">def set_positions(self, wheel1_pos, wheel2_pos, wheel3_pos):
+ """Set the positions of a scrambler's wheels.
+ """
+ self.wheel1.set_position(wheel1_pos)
+ self.wheel2.set_position(wheel2_pos)
+ self.wheel3.set_position(wheel3_pos) </code></pre>
+</details>
+</dd>
+</dl>
+</dd>
+<dt id="szyfrow.bombe.Signal"><code class="flex name class">
+<span>class <span class="ident">Signal</span></span>
+<span>(</span><span>bank, wire)</span>
+</code></dt>
+<dd>
+<div class="desc"><p>Current propogation through the Bombe indicates that
+this wire in this bank is live, and the effects need to be proogated further
+through the machine.</p></div>
+<h3>Ancestors</h3>
+<ul class="hlist">
+<li>builtins.tuple</li>
+</ul>
+<h3>Instance variables</h3>
+<dl>
+<dt id="szyfrow.bombe.Signal.bank"><code class="name">var <span class="ident">bank</span></code></dt>
+<dd>
+<div class="desc"><p>The bank of a signal.</p></div>
+</dd>
+<dt id="szyfrow.bombe.Signal.wire"><code class="name">var <span class="ident">wire</span></code></dt>
+<dd>
+<div class="desc"><p>The wire of a signal.</p></div>
+</dd>
+</dl>
+</dd>
+</dl>
+</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.bombe.cat" href="#szyfrow.bombe.cat">cat</a></code></li>
+<li><code><a title="szyfrow.bombe.lcat" href="#szyfrow.bombe.lcat">lcat</a></code></li>
+<li><code><a title="szyfrow.bombe.make_menu" href="#szyfrow.bombe.make_menu">make_menu</a></code></li>
+<li><code><a title="szyfrow.bombe.run_multi_bombe" href="#szyfrow.bombe.run_multi_bombe">run_multi_bombe</a></code></li>
+<li><code><a title="szyfrow.bombe.wcat" href="#szyfrow.bombe.wcat">wcat</a></code></li>
+</ul>
+</li>
+<li><h3><a href="#header-classes">Classes</a></h3>
+<ul>
+<li>
+<h4><code><a title="szyfrow.bombe.Bombe" href="#szyfrow.bombe.Bombe">Bombe</a></code></h4>
+<ul class="two-column">
+<li><code><a title="szyfrow.bombe.Bombe.add_connection" href="#szyfrow.bombe.Bombe.add_connection">add_connection</a></code></li>
+<li><code><a title="szyfrow.bombe.Bombe.possible_plugboards" href="#szyfrow.bombe.Bombe.possible_plugboards">possible_plugboards</a></code></li>
+<li><code><a title="szyfrow.bombe.Bombe.propagate" href="#szyfrow.bombe.Bombe.propagate">propagate</a></code></li>
+<li><code><a title="szyfrow.bombe.Bombe.read_menu" href="#szyfrow.bombe.Bombe.read_menu">read_menu</a></code></li>
+<li><code><a title="szyfrow.bombe.Bombe.run" href="#szyfrow.bombe.Bombe.run">run</a></code></li>
+<li><code><a title="szyfrow.bombe.Bombe.set_positions" href="#szyfrow.bombe.Bombe.set_positions">set_positions</a></code></li>
+<li><code><a title="szyfrow.bombe.Bombe.test" href="#szyfrow.bombe.Bombe.test">test</a></code></li>
+</ul>
+</li>
+<li>
+<h4><code><a title="szyfrow.bombe.Connection" href="#szyfrow.bombe.Connection">Connection</a></code></h4>
+<ul class="">
+<li><code><a title="szyfrow.bombe.Connection.banks" href="#szyfrow.bombe.Connection.banks">banks</a></code></li>
+<li><code><a title="szyfrow.bombe.Connection.scrambler" href="#szyfrow.bombe.Connection.scrambler">scrambler</a></code></li>
+</ul>
+</li>
+<li>
+<h4><code><a title="szyfrow.bombe.MenuIem" href="#szyfrow.bombe.MenuIem">MenuIem</a></code></h4>
+<ul class="">
+<li><code><a title="szyfrow.bombe.MenuIem.after" href="#szyfrow.bombe.MenuIem.after">after</a></code></li>
+<li><code><a title="szyfrow.bombe.MenuIem.before" href="#szyfrow.bombe.MenuIem.before">before</a></code></li>
+<li><code><a title="szyfrow.bombe.MenuIem.number" href="#szyfrow.bombe.MenuIem.number">number</a></code></li>
+</ul>
+</li>
+<li>
+<h4><code><a title="szyfrow.bombe.Scrambler" href="#szyfrow.bombe.Scrambler">Scrambler</a></code></h4>
+<ul class="">
+<li><code><a title="szyfrow.bombe.Scrambler.advance" href="#szyfrow.bombe.Scrambler.advance">advance</a></code></li>
+<li><code><a title="szyfrow.bombe.Scrambler.lookup" href="#szyfrow.bombe.Scrambler.lookup">lookup</a></code></li>
+<li><code><a title="szyfrow.bombe.Scrambler.set_positions" href="#szyfrow.bombe.Scrambler.set_positions">set_positions</a></code></li>
+</ul>
+</li>
+<li>
+<h4><code><a title="szyfrow.bombe.Signal" href="#szyfrow.bombe.Signal">Signal</a></code></h4>
+<ul class="">
+<li><code><a title="szyfrow.bombe.Signal.bank" href="#szyfrow.bombe.Signal.bank">bank</a></code></li>
+<li><code><a title="szyfrow.bombe.Signal.wire" href="#szyfrow.bombe.Signal.wire">wire</a></code></li>
+</ul>
+</li>
+</ul>
+</li>
+</ul>
+</nav>
+</main>
+<footer id="footer">
+<p>Generated by <a href="https://pdoc3.github.io/pdoc"><cite>pdoc</cite> 0.9.2</a>.</p>
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+Also attempts to break messages that use a …" />
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+<header>
+<h1 class="title">Module <code>szyfrow.cadenus</code></h1>
+</header>
+<section id="section-intro">
+<p>Enciphering and deciphering using the <a href="https://www.thonky.com/kryptos/cadenus-cipher">Cadenus cipher</a>.
+Also attempts to break messages that use a Cadenus cipher.</p>
+<p>The plaintext is written out in a grid, with one column per letter of the
+keyword. The plaintext is written out left to right in rows. The plaintext
+needs to fill 25 rows: if it is shorter, the text is padded; if longer, it is
+broken into 25-row chunks.</p>
+<p>For instance, the 100 letter chunk:</p>
+<blockquote>
+<p>Whoever has made a voyage up the Hudson must remember the Kaatskill mountains.
+They are a dismembered branch of the great</p>
+</blockquote>
+<p>and the keyword "wink" would written out as the leftmost grid below.</p>
+<p>The columns are then rotated according to the <em>keycolumn</em>. For each column, the
+keyword letter in that column is found in the keycolumn. This identifies a
+specific row in the grid. That column only is rotated upwards until the selected
+row is at the top of the column. Each column is rotated independently, according
+to its keyword letter.</p>
+<p>For instance, the middle grid below is formed from the leftmost grid by
+rotating the first column up four positions, the second column up 17 positions,
+and so on. (The letters chosen to head the new colums are capitalised in the
+leftmost grid.)</p>
+<p>Finally, each row is transposed given the alphabetic order of the keyword (as
+seen in the rightmost grid below).</p>
+<p>The ciphertext is read out in rows, starting with the now-leftmost column. For
+the example, the ciphertext would be </p>
+<blockquote>
+<p>antodeleeeuhrsidrbhmhdrrhnimefmthgeaetakseomehetyaasuvoyegrastmmuuaeenabbtpchehtarorikswosmvaleatned'</p>
+</blockquote>
+<pre><code>w i n k w i n k i k n w
+------- ------- -------
+w h o e a o a t n a n t o
+v e r h z e d l e d e l e
+a s m a y h e u e e e u h
+d e a v x d r i s r s i d
+O y a g vw m r h b r b h m
+e u p t u r h r d h d r r
+h e h u t m h i n h n i m
+d s o n s t e m f e f m t
+m u s t r a h e g h g e a
+r e m e q k e a t e t a k
+m b e r p m s o e s e o m
+t h e k o t e e h e h e t
+a a T s n s y a a y a a s
+k i l l m y u o v u v o y
+m o u n l a e r g e g r a
+t a i N k m s m t s t m m
+s t h e j e u a u u u a e
+y A r e i b e a n e n a b
+a d i s h c b p t b t p c
+m e m b g t h h e h e h t
+e r e d f r a o r a r o r
+b r a n e w i s k i k s w
+c h o f d v o m s o s m v
+t h e g c a a e l a l e a
+r e a t b d t e n t n e d
+</code></pre>
+<details class="source">
+<summary>
+<span>Expand source code</span>
+</summary>
+<pre><code class="python">"""Enciphering and deciphering using the [Cadenus cipher](https://www.thonky.com/kryptos/cadenus-cipher).
+Also attempts to break messages that use a Cadenus cipher.
+
+The plaintext is written out in a grid, with one column per letter of the
+keyword. The plaintext is written out left to right in rows. The plaintext
+needs to fill 25 rows: if it is shorter, the text is padded; if longer, it is
+broken into 25-row chunks.
+
+For instance, the 100 letter chunk:
+
+> Whoever has made a voyage up the Hudson must remember the Kaatskill mountains.
+> They are a dismembered branch of the great
+
+and the keyword "wink" would written out as the leftmost grid below.
+
+The columns are then rotated according to the _keycolumn_. For each column, the
+keyword letter in that column is found in the keycolumn. This identifies a
+specific row in the grid. That column only is rotated upwards until the selected
+row is at the top of the column. Each column is rotated independently, according
+to its keyword letter.
+
+For instance, the middle grid below is formed from the leftmost grid by
+rotating the first column up four positions, the second column up 17 positions,
+and so on. (The letters chosen to head the new colums are capitalised in the
+leftmost grid.)
+
+Finally, each row is transposed given the alphabetic order of the keyword (as
+seen in the rightmost grid below).
+
+The ciphertext is read out in rows, starting with the now-leftmost column. For
+the example, the ciphertext would be
+
+> antodeleeeuhrsidrbhmhdrrhnimefmthgeaetakseomehetyaasuvoyegrastmmuuaeenabbtpchehtarorikswosmvaleatned'
+
+```
+w i n k w i n k i k n w
+------- ------- -------
+w h o e a o a t n a n t o
+v e r h z e d l e d e l e
+a s m a y h e u e e e u h
+d e a v x d r i s r s i d
+O y a g vw m r h b r b h m
+e u p t u r h r d h d r r
+h e h u t m h i n h n i m
+d s o n s t e m f e f m t
+m u s t r a h e g h g e a
+r e m e q k e a t e t a k
+m b e r p m s o e s e o m
+t h e k o t e e h e h e t
+a a T s n s y a a y a a s
+k i l l m y u o v u v o y
+m o u n l a e r g e g r a
+t a i N k m s m t s t m m
+s t h e j e u a u u u a e
+y A r e i b e a n e n a b
+a d i s h c b p t b t p c
+m e m b g t h h e h e h t
+e r e d f r a o r a r o r
+b r a n e w i s k i k s w
+c h o f d v o m s o s m v
+t h e g c a a e l a l e a
+r e a t b d t e n t n e d
+```
+
+"""
+from itertools import chain
+import multiprocessing
+from szyfrow.support.utilities import *
+from szyfrow.support.language_models import *
+
+
+def make_cadenus_keycolumn(doubled_letters = 'vw', start='a', reverse=False):
+ """Makes the key column for a Cadenus cipher (the column down between the
+ rows of letters)
+
+ >>> make_cadenus_keycolumn()['a']
+ 0
+ >>> make_cadenus_keycolumn()['b']
+ 1
+ >>> make_cadenus_keycolumn()['c']
+ 2
+ >>> make_cadenus_keycolumn()['v']
+ 21
+ >>> make_cadenus_keycolumn()['w']
+ 21
+ >>> make_cadenus_keycolumn()['z']
+ 24
+ >>> make_cadenus_keycolumn(doubled_letters='ij', start='b', reverse=True)['a']
+ 1
+ >>> make_cadenus_keycolumn(doubled_letters='ij', start='b', reverse=True)['b']
+ 0
+ >>> make_cadenus_keycolumn(doubled_letters='ij', start='b', reverse=True)['c']
+ 24
+ >>> make_cadenus_keycolumn(doubled_letters='ij', start='b', reverse=True)['i']
+ 18
+ >>> make_cadenus_keycolumn(doubled_letters='ij', start='b', reverse=True)['j']
+ 18
+ >>> make_cadenus_keycolumn(doubled_letters='ij', start='b', reverse=True)['v']
+ 6
+ >>> make_cadenus_keycolumn(doubled_letters='ij', start='b', reverse=True)['z']
+ 2
+ """
+ index_to_remove = string.ascii_lowercase.find(doubled_letters[0])
+ short_alphabet = string.ascii_lowercase[:index_to_remove] + string.ascii_lowercase[index_to_remove+1:]
+ if reverse:
+ short_alphabet = cat(reversed(short_alphabet))
+ start_pos = short_alphabet.find(start)
+ rotated_alphabet = short_alphabet[start_pos:] + short_alphabet[:start_pos]
+ keycolumn = {l: i for i, l in enumerate(rotated_alphabet)}
+ keycolumn[doubled_letters[0]] = keycolumn[doubled_letters[1]]
+ return keycolumn
+
+def cadenus_encipher(message, keyword, keycolumn, fillvalue='a'):
+ """Encipher with the Cadenus cipher
+
+ >>> cadenus_encipher(sanitise('Whoever has made a voyage up the Hudson ' \
+ 'must remember the Kaatskill mountains. ' \
+ 'They are a dismembered branch of the great'), \
+ 'wink', \
+ make_cadenus_keycolumn(doubled_letters='vw', start='a', reverse=True))
+ 'antodeleeeuhrsidrbhmhdrrhnimefmthgeaetakseomehetyaasuvoyegrastmmuuaeenabbtpchehtarorikswosmvaleatned'
+ >>> cadenus_encipher(sanitise('a severe limitation on the usefulness of ' \
+ 'the cadenus is that every message must be ' \
+ 'a multiple of twenty-five letters long'), \
+ 'easy', \
+ make_cadenus_keycolumn(doubled_letters='vw', start='a', reverse=True))
+ 'systretomtattlusoatleeesfiyheasdfnmschbhneuvsnpmtofarenuseieeieltarlmentieetogevesitfaisltngeeuvowul'
+ """
+ transpositions = transpositions_of(keyword)
+ enciphered_chunks = []
+ for message_chunk in chunks(message, len(transpositions) * 25,
+ fillvalue=fillvalue):
+ rows = chunks(message_chunk, len(transpositions), fillvalue=fillvalue)
+ columns = zip(*rows)
+ rotated_columns = [col[start:] + col[:start] for start, col in zip([keycolumn[l] for l in keyword], columns)]
+ rotated_rows = zip(*rotated_columns)
+ transposed = [transpose(r, transpositions) for r in rotated_rows]
+ enciphered_chunks.append(cat(chain(*transposed)))
+ return cat(enciphered_chunks)
+
+def cadenus_decipher(message, keyword, keycolumn, fillvalue='a'):
+ """
+ >>> cadenus_decipher('antodeleeeuhrsidrbhmhdrrhnimefmthgeaetakseomehetyaa' \
+ 'suvoyegrastmmuuaeenabbtpchehtarorikswosmvaleatned', \
+ 'wink', \
+ make_cadenus_keycolumn(reverse=True))
+ 'whoeverhasmadeavoyageupthehudsonmustrememberthekaatskillmountainstheyareadismemberedbranchofthegreat'
+ >>> cadenus_decipher('systretomtattlusoatleeesfiyheasdfnmschbhneuvsnpmtof' \
+ 'arenuseieeieltarlmentieetogevesitfaisltngeeuvowul', \
+ 'easy', \
+ make_cadenus_keycolumn(reverse=True))
+ 'aseverelimitationontheusefulnessofthecadenusisthateverymessagemustbeamultipleoftwentyfiveletterslong'
+ """
+ transpositions = transpositions_of(keyword)
+ deciphered_chunks = []
+ for message_chunk in chunks(message, len(transpositions) * 25,
+ fillvalue=fillvalue):
+ rows = chunks(message_chunk, len(transpositions), fillvalue=fillvalue)
+ untransposed_rows = [untranspose(r, transpositions) for r in rows]
+ columns = zip(*untransposed_rows)
+ rotated_columns = [col[-start:] + col[:-start] for start, col in zip([keycolumn[l] for l in keyword], columns)]
+ rotated_rows = zip(*rotated_columns)
+ deciphered_chunks.append(cat(chain(*rotated_rows)))
+ return cat(deciphered_chunks)
+
+
+
+def cadenus_break(message, wordlist=None,
+ doubled_letters='vw', fitness=Pbigrams):
+ """Breaks a Cadenus cipher using a dictionary and
+ frequency analysis
+
+ If `wordlist` is not specified, use
+ [`szyfrow.support.langauge_models.keywords`](support/language_models.html#szyfrow.support.language_models.keywords).
+ """
+ if wordlist is None:
+ wordlist = keywords
+
+ # c = make_cadenus_keycolumn(reverse=True)
+ # valid_words = [w for w in wordlist
+ # if len(transpositions_of(w)) == len(message) // 25]
+ with multiprocessing.Pool() as pool:
+ results = pool.starmap(cadenus_break_worker,
+ [(message, w,
+ make_cadenus_keycolumn(doubled_letters=doubled_letters,
+ start=s, reverse=r),
+ fitness)
+ for w in wordlist
+ for s in string.ascii_lowercase
+ for r in [True, False]
+ # if max(transpositions_of(w)) <= len(
+ # make_cadenus_keycolumn(
+ # doubled_letters=doubled_letters, start=s, reverse=r))
+ ])
+ # return list(results)
+ return max(results, key=lambda k: k[1])
+
+def cadenus_break_worker(message, keyword, keycolumn, fitness):
+ # message_chunks = chunks(message, 175)
+ # plaintext = ''.join(cadenus_decipher(c, keyword, keycolumn) for c in message_chunks)
+ plaintext = cadenus_decipher(message, keyword, keycolumn)
+ fit = fitness(plaintext)
+ return (keyword, keycolumn), fit
+
+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.cadenus.cadenus_break"><code class="name flex">
+<span>def <span class="ident">cadenus_break</span></span>(<span>message, wordlist=None, doubled_letters='vw', fitness=<function Pbigrams>)</span>
+</code></dt>
+<dd>
+<div class="desc"><p>Breaks a Cadenus cipher using a dictionary and
+frequency analysis</p>
+<p>If <code>wordlist</code> is not specified, use
+<a href="support/language_models.html#szyfrow.support.language_models.keywords"><code>szyfrow.support.langauge_models.keywords</code></a>.</p></div>
+<details class="source">
+<summary>
+<span>Expand source code</span>
+</summary>
+<pre><code class="python">def cadenus_break(message, wordlist=None,
+ doubled_letters='vw', fitness=Pbigrams):
+ """Breaks a Cadenus cipher using a dictionary and
+ frequency analysis
+
+ If `wordlist` is not specified, use
+ [`szyfrow.support.langauge_models.keywords`](support/language_models.html#szyfrow.support.language_models.keywords).
+ """
+ if wordlist is None:
+ wordlist = keywords
+
+ # c = make_cadenus_keycolumn(reverse=True)
+ # valid_words = [w for w in wordlist
+ # if len(transpositions_of(w)) == len(message) // 25]
+ with multiprocessing.Pool() as pool:
+ results = pool.starmap(cadenus_break_worker,
+ [(message, w,
+ make_cadenus_keycolumn(doubled_letters=doubled_letters,
+ start=s, reverse=r),
+ fitness)
+ for w in wordlist
+ for s in string.ascii_lowercase
+ for r in [True, False]
+ # if max(transpositions_of(w)) <= len(
+ # make_cadenus_keycolumn(
+ # doubled_letters=doubled_letters, start=s, reverse=r))
+ ])
+ # return list(results)
+ return max(results, key=lambda k: k[1])</code></pre>
+</details>
+</dd>
+<dt id="szyfrow.cadenus.cadenus_break_worker"><code class="name flex">
+<span>def <span class="ident">cadenus_break_worker</span></span>(<span>message, keyword, keycolumn, fitness)</span>
+</code></dt>
+<dd>
+<div class="desc"></div>
+<details class="source">
+<summary>
+<span>Expand source code</span>
+</summary>
+<pre><code class="python">def cadenus_break_worker(message, keyword, keycolumn, fitness):
+ # message_chunks = chunks(message, 175)
+ # plaintext = ''.join(cadenus_decipher(c, keyword, keycolumn) for c in message_chunks)
+ plaintext = cadenus_decipher(message, keyword, keycolumn)
+ fit = fitness(plaintext)
+ return (keyword, keycolumn), fit</code></pre>
+</details>
+</dd>
+<dt id="szyfrow.cadenus.cadenus_decipher"><code class="name flex">
+<span>def <span class="ident">cadenus_decipher</span></span>(<span>message, keyword, keycolumn, fillvalue='a')</span>
+</code></dt>
+<dd>
+<div class="desc"><pre><code class="language-python-repl">>>> cadenus_decipher('antodeleeeuhrsidrbhmhdrrhnimefmthgeaetakseomehetyaa' 'suvoyegrastmmuuaeenabbtpchehtarorikswosmvaleatned', 'wink', make_cadenus_keycolumn(reverse=True))
+'whoeverhasmadeavoyageupthehudsonmustrememberthekaatskillmountainstheyareadismemberedbranchofthegreat'
+>>> cadenus_decipher('systretomtattlusoatleeesfiyheasdfnmschbhneuvsnpmtof' 'arenuseieeieltarlmentieetogevesitfaisltngeeuvowul', 'easy', make_cadenus_keycolumn(reverse=True))
+'aseverelimitationontheusefulnessofthecadenusisthateverymessagemustbeamultipleoftwentyfiveletterslong'
+</code></pre></div>
+<details class="source">
+<summary>
+<span>Expand source code</span>
+</summary>
+<pre><code class="python">def cadenus_decipher(message, keyword, keycolumn, fillvalue='a'):
+ """
+ >>> cadenus_decipher('antodeleeeuhrsidrbhmhdrrhnimefmthgeaetakseomehetyaa' \
+ 'suvoyegrastmmuuaeenabbtpchehtarorikswosmvaleatned', \
+ 'wink', \
+ make_cadenus_keycolumn(reverse=True))
+ 'whoeverhasmadeavoyageupthehudsonmustrememberthekaatskillmountainstheyareadismemberedbranchofthegreat'
+ >>> cadenus_decipher('systretomtattlusoatleeesfiyheasdfnmschbhneuvsnpmtof' \
+ 'arenuseieeieltarlmentieetogevesitfaisltngeeuvowul', \
+ 'easy', \
+ make_cadenus_keycolumn(reverse=True))
+ 'aseverelimitationontheusefulnessofthecadenusisthateverymessagemustbeamultipleoftwentyfiveletterslong'
+ """
+ transpositions = transpositions_of(keyword)
+ deciphered_chunks = []
+ for message_chunk in chunks(message, len(transpositions) * 25,
+ fillvalue=fillvalue):
+ rows = chunks(message_chunk, len(transpositions), fillvalue=fillvalue)
+ untransposed_rows = [untranspose(r, transpositions) for r in rows]
+ columns = zip(*untransposed_rows)
+ rotated_columns = [col[-start:] + col[:-start] for start, col in zip([keycolumn[l] for l in keyword], columns)]
+ rotated_rows = zip(*rotated_columns)
+ deciphered_chunks.append(cat(chain(*rotated_rows)))
+ return cat(deciphered_chunks)</code></pre>
+</details>
+</dd>
+<dt id="szyfrow.cadenus.cadenus_encipher"><code class="name flex">
+<span>def <span class="ident">cadenus_encipher</span></span>(<span>message, keyword, keycolumn, fillvalue='a')</span>
+</code></dt>
+<dd>
+<div class="desc"><p>Encipher with the Cadenus cipher</p>
+<pre><code class="language-python-repl">>>> cadenus_encipher(sanitise('Whoever has made a voyage up the Hudson ' 'must remember the Kaatskill mountains. ' 'They are a dismembered branch of the great'), 'wink', make_cadenus_keycolumn(doubled_letters='vw', start='a', reverse=True))
+'antodeleeeuhrsidrbhmhdrrhnimefmthgeaetakseomehetyaasuvoyegrastmmuuaeenabbtpchehtarorikswosmvaleatned'
+>>> cadenus_encipher(sanitise('a severe limitation on the usefulness of ' 'the cadenus is that every message must be ' 'a multiple of twenty-five letters long'), 'easy', make_cadenus_keycolumn(doubled_letters='vw', start='a', reverse=True))
+'systretomtattlusoatleeesfiyheasdfnmschbhneuvsnpmtofarenuseieeieltarlmentieetogevesitfaisltngeeuvowul'
+</code></pre></div>
+<details class="source">
+<summary>
+<span>Expand source code</span>
+</summary>
+<pre><code class="python">def cadenus_encipher(message, keyword, keycolumn, fillvalue='a'):
+ """Encipher with the Cadenus cipher
+
+ >>> cadenus_encipher(sanitise('Whoever has made a voyage up the Hudson ' \
+ 'must remember the Kaatskill mountains. ' \
+ 'They are a dismembered branch of the great'), \
+ 'wink', \
+ make_cadenus_keycolumn(doubled_letters='vw', start='a', reverse=True))
+ 'antodeleeeuhrsidrbhmhdrrhnimefmthgeaetakseomehetyaasuvoyegrastmmuuaeenabbtpchehtarorikswosmvaleatned'
+ >>> cadenus_encipher(sanitise('a severe limitation on the usefulness of ' \
+ 'the cadenus is that every message must be ' \
+ 'a multiple of twenty-five letters long'), \
+ 'easy', \
+ make_cadenus_keycolumn(doubled_letters='vw', start='a', reverse=True))
+ 'systretomtattlusoatleeesfiyheasdfnmschbhneuvsnpmtofarenuseieeieltarlmentieetogevesitfaisltngeeuvowul'
+ """
+ transpositions = transpositions_of(keyword)
+ enciphered_chunks = []
+ for message_chunk in chunks(message, len(transpositions) * 25,
+ fillvalue=fillvalue):
+ rows = chunks(message_chunk, len(transpositions), fillvalue=fillvalue)
+ columns = zip(*rows)
+ rotated_columns = [col[start:] + col[:start] for start, col in zip([keycolumn[l] for l in keyword], columns)]
+ rotated_rows = zip(*rotated_columns)
+ transposed = [transpose(r, transpositions) for r in rotated_rows]
+ enciphered_chunks.append(cat(chain(*transposed)))
+ return cat(enciphered_chunks)</code></pre>
+</details>
+</dd>
+<dt id="szyfrow.cadenus.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.cadenus.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.cadenus.make_cadenus_keycolumn"><code class="name flex">
+<span>def <span class="ident">make_cadenus_keycolumn</span></span>(<span>doubled_letters='vw', start='a', reverse=False)</span>
+</code></dt>
+<dd>
+<div class="desc"><p>Makes the key column for a Cadenus cipher (the column down between the
+rows of letters)</p>
+<pre><code class="language-python-repl">>>> make_cadenus_keycolumn()['a']
+0
+>>> make_cadenus_keycolumn()['b']
+1
+>>> make_cadenus_keycolumn()['c']
+2
+>>> make_cadenus_keycolumn()['v']
+21
+>>> make_cadenus_keycolumn()['w']
+21
+>>> make_cadenus_keycolumn()['z']
+24
+>>> make_cadenus_keycolumn(doubled_letters='ij', start='b', reverse=True)['a']
+1
+>>> make_cadenus_keycolumn(doubled_letters='ij', start='b', reverse=True)['b']
+0
+>>> make_cadenus_keycolumn(doubled_letters='ij', start='b', reverse=True)['c']
+24
+>>> make_cadenus_keycolumn(doubled_letters='ij', start='b', reverse=True)['i']
+18
+>>> make_cadenus_keycolumn(doubled_letters='ij', start='b', reverse=True)['j']
+18
+>>> make_cadenus_keycolumn(doubled_letters='ij', start='b', reverse=True)['v']
+6
+>>> make_cadenus_keycolumn(doubled_letters='ij', start='b', reverse=True)['z']
+2
+</code></pre></div>
+<details class="source">
+<summary>
+<span>Expand source code</span>
+</summary>
+<pre><code class="python">def make_cadenus_keycolumn(doubled_letters = 'vw', start='a', reverse=False):
+ """Makes the key column for a Cadenus cipher (the column down between the
+ rows of letters)
+
+ >>> make_cadenus_keycolumn()['a']
+ 0
+ >>> make_cadenus_keycolumn()['b']
+ 1
+ >>> make_cadenus_keycolumn()['c']
+ 2
+ >>> make_cadenus_keycolumn()['v']
+ 21
+ >>> make_cadenus_keycolumn()['w']
+ 21
+ >>> make_cadenus_keycolumn()['z']
+ 24
+ >>> make_cadenus_keycolumn(doubled_letters='ij', start='b', reverse=True)['a']
+ 1
+ >>> make_cadenus_keycolumn(doubled_letters='ij', start='b', reverse=True)['b']
+ 0
+ >>> make_cadenus_keycolumn(doubled_letters='ij', start='b', reverse=True)['c']
+ 24
+ >>> make_cadenus_keycolumn(doubled_letters='ij', start='b', reverse=True)['i']
+ 18
+ >>> make_cadenus_keycolumn(doubled_letters='ij', start='b', reverse=True)['j']
+ 18
+ >>> make_cadenus_keycolumn(doubled_letters='ij', start='b', reverse=True)['v']
+ 6
+ >>> make_cadenus_keycolumn(doubled_letters='ij', start='b', reverse=True)['z']
+ 2
+ """
+ index_to_remove = string.ascii_lowercase.find(doubled_letters[0])
+ short_alphabet = string.ascii_lowercase[:index_to_remove] + string.ascii_lowercase[index_to_remove+1:]
+ if reverse:
+ short_alphabet = cat(reversed(short_alphabet))
+ start_pos = short_alphabet.find(start)
+ rotated_alphabet = short_alphabet[start_pos:] + short_alphabet[:start_pos]
+ keycolumn = {l: i for i, l in enumerate(rotated_alphabet)}
+ keycolumn[doubled_letters[0]] = keycolumn[doubled_letters[1]]
+ return keycolumn</code></pre>
+</details>
+</dd>
+<dt id="szyfrow.cadenus.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.cadenus.cadenus_break" href="#szyfrow.cadenus.cadenus_break">cadenus_break</a></code></li>
+<li><code><a title="szyfrow.cadenus.cadenus_break_worker" href="#szyfrow.cadenus.cadenus_break_worker">cadenus_break_worker</a></code></li>
+<li><code><a title="szyfrow.cadenus.cadenus_decipher" href="#szyfrow.cadenus.cadenus_decipher">cadenus_decipher</a></code></li>
+<li><code><a title="szyfrow.cadenus.cadenus_encipher" href="#szyfrow.cadenus.cadenus_encipher">cadenus_encipher</a></code></li>
+<li><code><a title="szyfrow.cadenus.cat" href="#szyfrow.cadenus.cat">cat</a></code></li>
+<li><code><a title="szyfrow.cadenus.lcat" href="#szyfrow.cadenus.lcat">lcat</a></code></li>
+<li><code><a title="szyfrow.cadenus.make_cadenus_keycolumn" href="#szyfrow.cadenus.make_cadenus_keycolumn">make_cadenus_keycolumn</a></code></li>
+<li><code><a title="szyfrow.cadenus.wcat" href="#szyfrow.cadenus.wcat">wcat</a></code></li>
+</ul>
+</li>
+</ul>
+</nav>
+</main>
+<footer id="footer">
+<p>Generated by <a href="https://pdoc3.github.io/pdoc"><cite>pdoc</cite> 0.9.2</a>.</p>
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+<header>
+<h1 class="title">Module <code>szyfrow.caesar</code></h1>
+</header>
+<section id="section-intro">
+<p>Enciphering and deciphering using the <a href="https://en.wikipedia.org/wiki/Caesar_cipher">Caesar cipher</a>.
+Also attempts to break messages that use a Caesar cipher.</p>
+<p>The Caesar cipher operates one letter at a time. It converts each letter to a
+number, then enciphers that number by adding the key. The result is taken mod
+26 and converted back into a letter.</p>
+<details class="source">
+<summary>
+<span>Expand source code</span>
+</summary>
+<pre><code class="python">"""Enciphering and deciphering using the [Caesar cipher](https://en.wikipedia.org/wiki/Caesar_cipher).
+Also attempts to break messages that use a Caesar cipher.
+
+The Caesar cipher operates one letter at a time. It converts each letter to a
+number, then enciphers that number by adding the key. The result is taken mod
+26 and converted back into a letter.
+
+"""
+
+from szyfrow.support.utilities import *
+from szyfrow.support.language_models import *
+
+def caesar_encipher_letter(accented_letter, shift):
+ """Encipher a letter, given a shift amount.
+
+ Accented version of latin letters (such as é and ö) are converted to their
+ non-accented versions before encryption.
+
+ >>> caesar_encipher_letter('a', 1)
+ 'b'
+ >>> caesar_encipher_letter('a', 2)
+ 'c'
+ >>> caesar_encipher_letter('b', 2)
+ 'd'
+ >>> caesar_encipher_letter('x', 2)
+ 'z'
+ >>> caesar_encipher_letter('y', 2)
+ 'a'
+ >>> caesar_encipher_letter('z', 2)
+ 'b'
+ >>> caesar_encipher_letter('z', -1)
+ 'y'
+ >>> caesar_encipher_letter('a', -1)
+ 'z'
+ >>> caesar_encipher_letter('A', 1)
+ 'B'
+ >>> caesar_encipher_letter('é', 1)
+ 'f'
+ """
+ # letter = unaccent(accented_letter)
+ # if letter in string.ascii_letters:
+ # if letter in string.ascii_uppercase:
+ # alphabet_start = ord('A')
+ # else:
+ # alphabet_start = ord('a')
+ # return chr(((ord(letter) - alphabet_start + shift) % 26) +
+ # alphabet_start)
+ # else:
+ # return letter
+
+ letter = unaccent(accented_letter)
+ if letter in string.ascii_letters:
+ cipherletter = unpos(pos(letter) + shift)
+ if letter in string.ascii_uppercase:
+ return cipherletter.upper()
+ else:
+ return cipherletter
+ else:
+ return letter
+
+def caesar_decipher_letter(letter, shift):
+ """Decipher a letter, given a shift amount
+
+ >>> caesar_decipher_letter('b', 1)
+ 'a'
+ >>> caesar_decipher_letter('b', 2)
+ 'z'
+ """
+ return caesar_encipher_letter(letter, -shift)
+
+def caesar_encipher(message, shift):
+ """Encipher a message with the Caesar cipher of given shift
+
+ >>> caesar_encipher('abc', 1)
+ 'bcd'
+ >>> caesar_encipher('abc', 2)
+ 'cde'
+ >>> caesar_encipher('abcxyz', 2)
+ 'cdezab'
+ >>> caesar_encipher('ab cx yz', 2)
+ 'cd ez ab'
+ >>> caesar_encipher('Héllo World!', 2)
+ 'Jgnnq Yqtnf!'
+ """
+ enciphered = [caesar_encipher_letter(l, shift) for l in message]
+ return cat(enciphered)
+
+def caesar_decipher(message, shift):
+ """Decipher a message with the Caesar cipher of given shift
+
+ >>> caesar_decipher('bcd', 1)
+ 'abc'
+ >>> caesar_decipher('cde', 2)
+ 'abc'
+ >>> caesar_decipher('cd ez ab', 2)
+ 'ab cx yz'
+ >>> caesar_decipher('Jgnnq Yqtnf!', 2)
+ 'Hello World!'
+ """
+ return caesar_encipher(message, -shift)
+
+
+def caesar_break(message, fitness=Pletters):
+ """Breaks a Caesar cipher using frequency analysis
+
+ It tries all possible keys, scores the fitness of the text decipherd with
+ each key, and returns the key that produces the most fit deciphered text.
+
+ >>> caesar_break('ibxcsyorsaqcheyklxivoexlevmrimwxsfiqevvmihrsasrxliwyrh' \
+ 'ecjsppsamrkwleppfmergefifvmhixscsymjcsyqeoixlm') # doctest: +ELLIPSIS
+ (4, -130.849989015...)
+ >>> caesar_break('wxwmaxdgheetgwuxztgptedbgznitgwwhpguxyhkxbmhvvtlbhgtee' \
+ 'raxlmhiixweblmxgxwmhmaxybkbgztgwztsxwbgmxgmert') # doctest: +ELLIPSIS
+ (19, -128.82410410...)
+ >>> caesar_break('yltbbqnqnzvguvaxurorgenafsbezqvagbnornfgsbevpnaabjurer' \
+ 'svaquvzyvxrnznazlybequrvfohgriraabjtbaruraprur') # doctest: +ELLIPSIS
+ (13, -126.25403935...)
+ """
+ sanitised_message = sanitise(message)
+ best_shift = 0
+ best_fit = float('-inf')
+ for shift in range(26):
+ plaintext = caesar_decipher(sanitised_message, shift)
+ fit = fitness(plaintext)
+
+ if fit > best_fit:
+ best_fit = fit
+ best_shift = shift
+
+ return best_shift, best_fit</code></pre>
+</details>
+</section>
+<section>
+</section>
+<section>
+</section>
+<section>
+<h2 class="section-title" id="header-functions">Functions</h2>
+<dl>
+<dt id="szyfrow.caesar.caesar_break"><code class="name flex">
+<span>def <span class="ident">caesar_break</span></span>(<span>message, fitness=<function Pletters>)</span>
+</code></dt>
+<dd>
+<div class="desc"><p>Breaks a Caesar cipher using frequency analysis</p>
+<p>It tries all possible keys, scores the fitness of the text decipherd with
+each key, and returns the key that produces the most fit deciphered text.</p>
+<pre><code class="language-python-repl">>>> caesar_break('ibxcsyorsaqcheyklxivoexlevmrimwxsfiqevvmihrsasrxliwyrh' 'ecjsppsamrkwleppfmergefifvmhixscsymjcsyqeoixlm') # doctest: +ELLIPSIS
+(4, -130.849989015...)
+>>> caesar_break('wxwmaxdgheetgwuxztgptedbgznitgwwhpguxyhkxbmhvvtlbhgtee' 'raxlmhiixweblmxgxwmhmaxybkbgztgwztsxwbgmxgmert') # doctest: +ELLIPSIS
+(19, -128.82410410...)
+>>> caesar_break('yltbbqnqnzvguvaxurorgenafsbezqvagbnornfgsbevpnaabjurer' 'svaquvzyvxrnznazlybequrvfohgriraabjtbaruraprur') # doctest: +ELLIPSIS
+(13, -126.25403935...)
+</code></pre></div>
+<details class="source">
+<summary>
+<span>Expand source code</span>
+</summary>
+<pre><code class="python">def caesar_break(message, fitness=Pletters):
+ """Breaks a Caesar cipher using frequency analysis
+
+ It tries all possible keys, scores the fitness of the text decipherd with
+ each key, and returns the key that produces the most fit deciphered text.
+
+ >>> caesar_break('ibxcsyorsaqcheyklxivoexlevmrimwxsfiqevvmihrsasrxliwyrh' \
+ 'ecjsppsamrkwleppfmergefifvmhixscsymjcsyqeoixlm') # doctest: +ELLIPSIS
+ (4, -130.849989015...)
+ >>> caesar_break('wxwmaxdgheetgwuxztgptedbgznitgwwhpguxyhkxbmhvvtlbhgtee' \
+ 'raxlmhiixweblmxgxwmhmaxybkbgztgwztsxwbgmxgmert') # doctest: +ELLIPSIS
+ (19, -128.82410410...)
+ >>> caesar_break('yltbbqnqnzvguvaxurorgenafsbezqvagbnornfgsbevpnaabjurer' \
+ 'svaquvzyvxrnznazlybequrvfohgriraabjtbaruraprur') # doctest: +ELLIPSIS
+ (13, -126.25403935...)
+ """
+ sanitised_message = sanitise(message)
+ best_shift = 0
+ best_fit = float('-inf')
+ for shift in range(26):
+ plaintext = caesar_decipher(sanitised_message, shift)
+ fit = fitness(plaintext)
+
+ if fit > best_fit:
+ best_fit = fit
+ best_shift = shift
+
+ return best_shift, best_fit</code></pre>
+</details>
+</dd>
+<dt id="szyfrow.caesar.caesar_decipher"><code class="name flex">
+<span>def <span class="ident">caesar_decipher</span></span>(<span>message, shift)</span>
+</code></dt>
+<dd>
+<div class="desc"><p>Decipher a message with the Caesar cipher of given shift</p>
+<pre><code class="language-python-repl">>>> caesar_decipher('bcd', 1)
+'abc'
+>>> caesar_decipher('cde', 2)
+'abc'
+>>> caesar_decipher('cd ez ab', 2)
+'ab cx yz'
+>>> caesar_decipher('Jgnnq Yqtnf!', 2)
+'Hello World!'
+</code></pre></div>
+<details class="source">
+<summary>
+<span>Expand source code</span>
+</summary>
+<pre><code class="python">def caesar_decipher(message, shift):
+ """Decipher a message with the Caesar cipher of given shift
+
+ >>> caesar_decipher('bcd', 1)
+ 'abc'
+ >>> caesar_decipher('cde', 2)
+ 'abc'
+ >>> caesar_decipher('cd ez ab', 2)
+ 'ab cx yz'
+ >>> caesar_decipher('Jgnnq Yqtnf!', 2)
+ 'Hello World!'
+ """
+ return caesar_encipher(message, -shift)</code></pre>
+</details>
+</dd>
+<dt id="szyfrow.caesar.caesar_decipher_letter"><code class="name flex">
+<span>def <span class="ident">caesar_decipher_letter</span></span>(<span>letter, shift)</span>
+</code></dt>
+<dd>
+<div class="desc"><p>Decipher a letter, given a shift amount</p>
+<pre><code class="language-python-repl">>>> caesar_decipher_letter('b', 1)
+'a'
+>>> caesar_decipher_letter('b', 2)
+'z'
+</code></pre></div>
+<details class="source">
+<summary>
+<span>Expand source code</span>
+</summary>
+<pre><code class="python">def caesar_decipher_letter(letter, shift):
+ """Decipher a letter, given a shift amount
+
+ >>> caesar_decipher_letter('b', 1)
+ 'a'
+ >>> caesar_decipher_letter('b', 2)
+ 'z'
+ """
+ return caesar_encipher_letter(letter, -shift)</code></pre>
+</details>
+</dd>
+<dt id="szyfrow.caesar.caesar_encipher"><code class="name flex">
+<span>def <span class="ident">caesar_encipher</span></span>(<span>message, shift)</span>
+</code></dt>
+<dd>
+<div class="desc"><p>Encipher a message with the Caesar cipher of given shift</p>
+<pre><code class="language-python-repl">>>> caesar_encipher('abc', 1)
+'bcd'
+>>> caesar_encipher('abc', 2)
+'cde'
+>>> caesar_encipher('abcxyz', 2)
+'cdezab'
+>>> caesar_encipher('ab cx yz', 2)
+'cd ez ab'
+>>> caesar_encipher('Héllo World!', 2)
+'Jgnnq Yqtnf!'
+</code></pre></div>
+<details class="source">
+<summary>
+<span>Expand source code</span>
+</summary>
+<pre><code class="python">def caesar_encipher(message, shift):
+ """Encipher a message with the Caesar cipher of given shift
+
+ >>> caesar_encipher('abc', 1)
+ 'bcd'
+ >>> caesar_encipher('abc', 2)
+ 'cde'
+ >>> caesar_encipher('abcxyz', 2)
+ 'cdezab'
+ >>> caesar_encipher('ab cx yz', 2)
+ 'cd ez ab'
+ >>> caesar_encipher('Héllo World!', 2)
+ 'Jgnnq Yqtnf!'
+ """
+ enciphered = [caesar_encipher_letter(l, shift) for l in message]
+ return cat(enciphered)</code></pre>
+</details>
+</dd>
+<dt id="szyfrow.caesar.caesar_encipher_letter"><code class="name flex">
+<span>def <span class="ident">caesar_encipher_letter</span></span>(<span>accented_letter, shift)</span>
+</code></dt>
+<dd>
+<div class="desc"><p>Encipher a letter, given a shift amount.</p>
+<p>Accented version of latin letters (such as é and ö) are converted to their
+non-accented versions before encryption.</p>
+<pre><code class="language-python-repl">>>> caesar_encipher_letter('a', 1)
+'b'
+>>> caesar_encipher_letter('a', 2)
+'c'
+>>> caesar_encipher_letter('b', 2)
+'d'
+>>> caesar_encipher_letter('x', 2)
+'z'
+>>> caesar_encipher_letter('y', 2)
+'a'
+>>> caesar_encipher_letter('z', 2)
+'b'
+>>> caesar_encipher_letter('z', -1)
+'y'
+>>> caesar_encipher_letter('a', -1)
+'z'
+>>> caesar_encipher_letter('A', 1)
+'B'
+>>> caesar_encipher_letter('é', 1)
+'f'
+</code></pre></div>
+<details class="source">
+<summary>
+<span>Expand source code</span>
+</summary>
+<pre><code class="python">def caesar_encipher_letter(accented_letter, shift):
+ """Encipher a letter, given a shift amount.
+
+ Accented version of latin letters (such as é and ö) are converted to their
+ non-accented versions before encryption.
+
+ >>> caesar_encipher_letter('a', 1)
+ 'b'
+ >>> caesar_encipher_letter('a', 2)
+ 'c'
+ >>> caesar_encipher_letter('b', 2)
+ 'd'
+ >>> caesar_encipher_letter('x', 2)
+ 'z'
+ >>> caesar_encipher_letter('y', 2)
+ 'a'
+ >>> caesar_encipher_letter('z', 2)
+ 'b'
+ >>> caesar_encipher_letter('z', -1)
+ 'y'
+ >>> caesar_encipher_letter('a', -1)
+ 'z'
+ >>> caesar_encipher_letter('A', 1)
+ 'B'
+ >>> caesar_encipher_letter('é', 1)
+ 'f'
+ """
+ # letter = unaccent(accented_letter)
+ # if letter in string.ascii_letters:
+ # if letter in string.ascii_uppercase:
+ # alphabet_start = ord('A')
+ # else:
+ # alphabet_start = ord('a')
+ # return chr(((ord(letter) - alphabet_start + shift) % 26) +
+ # alphabet_start)
+ # else:
+ # return letter
+
+ letter = unaccent(accented_letter)
+ if letter in string.ascii_letters:
+ cipherletter = unpos(pos(letter) + shift)
+ if letter in string.ascii_uppercase:
+ return cipherletter.upper()
+ else:
+ return cipherletter
+ else:
+ return letter</code></pre>
+</details>
+</dd>
+<dt id="szyfrow.caesar.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.caesar.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.caesar.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.caesar.caesar_break" href="#szyfrow.caesar.caesar_break">caesar_break</a></code></li>
+<li><code><a title="szyfrow.caesar.caesar_decipher" href="#szyfrow.caesar.caesar_decipher">caesar_decipher</a></code></li>
+<li><code><a title="szyfrow.caesar.caesar_decipher_letter" href="#szyfrow.caesar.caesar_decipher_letter">caesar_decipher_letter</a></code></li>
+<li><code><a title="szyfrow.caesar.caesar_encipher" href="#szyfrow.caesar.caesar_encipher">caesar_encipher</a></code></li>
+<li><code><a title="szyfrow.caesar.caesar_encipher_letter" href="#szyfrow.caesar.caesar_encipher_letter">caesar_encipher_letter</a></code></li>
+<li><code><a title="szyfrow.caesar.cat" href="#szyfrow.caesar.cat">cat</a></code></li>
+<li><code><a title="szyfrow.caesar.lcat" href="#szyfrow.caesar.lcat">lcat</a></code></li>
+<li><code><a title="szyfrow.caesar.wcat" href="#szyfrow.caesar.wcat">wcat</a></code></li>
+</ul>
+</li>
+</ul>
+</nav>
+</main>
+<footer id="footer">
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+<header>
+<h1 class="title">Module <code>szyfrow.column_transposition</code></h1>
+</header>
+<section id="section-intro">
+<p>Enciphering and deciphering using the <a href="https://en.wikipedia.org/wiki/Bifid_cipher">Column transposition cipher</a>.
+Also attempts to break messages that use a column transpositon cipher.</p>
+<p>A grid is layed out, with one column for each distinct letter in the keyword.
+The grid is filled by the plaintext, one letter per cell, either in rows or
+columns. The columns are rearranged so the keyword's letters are in alphabetical
+order, then the ciphertext is read from the rearranged grid, either in rows
+or columns. </p>
+<p>The Scytale cipher is a column cipher with an identity transposition, where the
+message is written in rows and read in columns. </p>
+<p>Messages that do not fill the grid are padded with fillvalue. Note that
+<code><a title="szyfrow.support.utilities.pad" href="support/utilities.html#szyfrow.support.utilities.pad">pad()</a></code> allows a callable, so that the message can be
+padded by random letters, for instance by calling
+<code><a title="szyfrow.support.language_models.random_english_letter" href="support/language_models.html#szyfrow.support.language_models.random_english_letter">random_english_letter()</a></code>.</p>
+<details class="source">
+<summary>
+<span>Expand source code</span>
+</summary>
+<pre><code class="python">"""Enciphering and deciphering using the [Column transposition cipher](https://en.wikipedia.org/wiki/Bifid_cipher).
+Also attempts to break messages that use a column transpositon cipher.
+
+A grid is layed out, with one column for each distinct letter in the keyword.
+The grid is filled by the plaintext, one letter per cell, either in rows or
+columns. The columns are rearranged so the keyword's letters are in alphabetical
+order, then the ciphertext is read from the rearranged grid, either in rows
+or columns.
+
+The Scytale cipher is a column cipher with an identity transposition, where the
+message is written in rows and read in columns.
+
+Messages that do not fill the grid are padded with fillvalue. Note that
+`szyfrow.support.utilities.pad` allows a callable, so that the message can be
+padded by random letters, for instance by calling
+`szyfrow.support.language_models.random_english_letter`.
+"""
+
+import math
+import multiprocessing
+from itertools import chain
+from szyfrow.support.utilities import *
+from szyfrow.support.language_models import *
+
+def column_transposition_encipher(message, keyword, fillvalue=' ',
+ fillcolumnwise=False,
+ emptycolumnwise=False):
+ """Enciphers using the column transposition cipher.
+ Message is padded to allow all rows to be the same length.
+
+ >>> column_transposition_encipher('hellothere', 'abcdef', fillcolumnwise=True)
+ 'hlohr eltee '
+ >>> column_transposition_encipher('hellothere', 'abcdef', fillcolumnwise=True, emptycolumnwise=True)
+ 'hellothere '
+ >>> column_transposition_encipher('hellothere', 'abcdef')
+ 'hellothere '
+ >>> column_transposition_encipher('hellothere', 'abcde')
+ 'hellothere'
+ >>> column_transposition_encipher('hellothere', 'abcde', fillcolumnwise=True, emptycolumnwise=True)
+ 'hellothere'
+ >>> column_transposition_encipher('hellothere', 'abcde', fillcolumnwise=True, emptycolumnwise=False)
+ 'hlohreltee'
+ >>> column_transposition_encipher('hellothere', 'abcde', fillcolumnwise=False, emptycolumnwise=True)
+ 'htehlelroe'
+ >>> column_transposition_encipher('hellothere', 'abcde', fillcolumnwise=False, emptycolumnwise=False)
+ 'hellothere'
+ >>> column_transposition_encipher('hellothere', 'clever', fillcolumnwise=True, emptycolumnwise=True)
+ 'heotllrehe'
+ >>> column_transposition_encipher('hellothere', 'clever', fillcolumnwise=True, emptycolumnwise=False)
+ 'holrhetlee'
+ >>> column_transposition_encipher('hellothere', 'clever', fillcolumnwise=False, emptycolumnwise=True)
+ 'htleehoelr'
+ >>> column_transposition_encipher('hellothere', 'clever', fillcolumnwise=False, emptycolumnwise=False)
+ 'hleolteher'
+ >>> column_transposition_encipher('hellothere', 'cleverly')
+ 'hleolthre e '
+ >>> column_transposition_encipher('hellothere', 'cleverly', fillvalue='!')
+ 'hleolthre!e!'
+ >>> column_transposition_encipher('hellothere', 'cleverly', fillvalue=lambda: '*')
+ 'hleolthre*e*'
+ """
+ transpositions = transpositions_of(keyword)
+ message += pad(len(message), len(transpositions), fillvalue)
+ if fillcolumnwise:
+ rows = every_nth(message, len(message) // len(transpositions))
+ else:
+ rows = chunks(message, len(transpositions))
+ transposed = [transpose(r, transpositions) for r in rows]
+ if emptycolumnwise:
+ return combine_every_nth(transposed)
+ else:
+ return cat(chain(*transposed))
+
+def column_transposition_decipher(message, keyword, fillvalue=' ',
+ fillcolumnwise=False,
+ emptycolumnwise=False):
+ """Deciphers using the column transposition cipher.
+ Message is padded to allow all rows to be the same length.
+
+ Note that `fillcolumnwise` and `emptycolumnwise` refer to how the message
+ is enciphered. To decipher a message, the operations are performed as an
+ inverse-empty, then inverse-transposition, then inverse-fill.
+
+ >>> column_transposition_decipher('hellothere', 'abcde', fillcolumnwise=True, emptycolumnwise=True)
+ 'hellothere'
+ >>> column_transposition_decipher('hlohreltee', 'abcde', fillcolumnwise=True, emptycolumnwise=False)
+ 'hellothere'
+ >>> column_transposition_decipher('htehlelroe', 'abcde', fillcolumnwise=False, emptycolumnwise=True)
+ 'hellothere'
+ >>> column_transposition_decipher('hellothere', 'abcde', fillcolumnwise=False, emptycolumnwise=False)
+ 'hellothere'
+ >>> column_transposition_decipher('heotllrehe', 'clever', fillcolumnwise=True, emptycolumnwise=True)
+ 'hellothere'
+ >>> column_transposition_decipher('holrhetlee', 'clever', fillcolumnwise=True, emptycolumnwise=False)
+ 'hellothere'
+ >>> column_transposition_decipher('htleehoelr', 'clever', fillcolumnwise=False, emptycolumnwise=True)
+ 'hellothere'
+ >>> column_transposition_decipher('hleolteher', 'clever', fillcolumnwise=False, emptycolumnwise=False)
+ 'hellothere'
+ """
+ transpositions = transpositions_of(keyword)
+ message += pad(len(message), len(transpositions), fillvalue)
+ if emptycolumnwise:
+ rows = every_nth(message, len(message) // len(transpositions))
+ else:
+ rows = chunks(message, len(transpositions))
+ untransposed = [untranspose(r, transpositions) for r in rows]
+ if fillcolumnwise:
+ return combine_every_nth(untransposed)
+ else:
+ return cat(chain(*untransposed))
+
+def scytale_encipher(message, rows, fillvalue=' '):
+ """Enciphers using the scytale transposition cipher. `rows` is the
+ circumference of the rod. The message is fitted inot columns so that
+ all rows are used.
+
+ Message is padded with spaces to allow all rows to be the same length.
+
+ For ease of implementation, the cipher is performed on the transpose
+ of the grid
+
+ >>> scytale_encipher('thequickbrownfox', 3)
+ 'tcnhkfeboqrxuo iw '
+ >>> scytale_encipher('thequickbrownfox', 4)
+ 'tubnhirfecooqkwx'
+ >>> scytale_encipher('thequickbrownfox', 5)
+ 'tubn hirf ecoo qkwx '
+ >>> scytale_encipher('thequickbrownfox', 6)
+ 'tqcrnxhukof eibwo '
+ >>> scytale_encipher('thequickbrownfox', 7)
+ 'tqcrnx hukof eibwo '
+ """
+ # transpositions = [i for i in range(math.ceil(len(message) / rows))]
+ # return column_transposition_encipher(message, transpositions,
+ # fillvalue=fillvalue, fillcolumnwise=False, emptycolumnwise=True)
+ transpositions = (i for i in range(rows))
+ return column_transposition_encipher(message, transpositions,
+ fillvalue=fillvalue, fillcolumnwise=True, emptycolumnwise=False)
+
+def scytale_decipher(message, rows):
+ """Deciphers using the scytale transposition cipher.
+ Assumes the message is padded so that all rows are the same length.
+
+ >>> scytale_decipher('tcnhkfeboqrxuo iw ', 3)
+ 'thequickbrownfox '
+ >>> scytale_decipher('tubnhirfecooqkwx', 4)
+ 'thequickbrownfox'
+ >>> scytale_decipher('tubn hirf ecoo qkwx ', 5)
+ 'thequickbrownfox '
+ >>> scytale_decipher('tqcrnxhukof eibwo ', 6)
+ 'thequickbrownfox '
+ >>> scytale_decipher('tqcrnx hukof eibwo ', 7)
+ 'thequickbrownfox '
+ """
+ # transpositions = [i for i in range(math.ceil(len(message) / rows))]
+ # return column_transposition_decipher(message, transpositions,
+ # fillcolumnwise=False, emptycolumnwise=True)
+ transpositions = [i for i in range(rows)]
+ return column_transposition_decipher(message, transpositions,
+ fillcolumnwise=True, emptycolumnwise=False)
+
+
+def column_transposition_break(message, translist=None,
+ fitness=Pbigrams, chunksize=500):
+ """Breaks a column transposition cipher using a dictionary and
+ n-gram frequency analysis
+
+ If `translist` is not specified, use
+ [`szyfrow.support.langauge_models.transpositions`](support/language_models.html#szyfrow.support.language_models.transpositions).
+
+ >>> len(keywords)
+ 20
+
+ >>> column_transposition_break(column_transposition_encipher(sanitise( \
+ "It is a truth universally acknowledged, that a single man in \
+ possession of a good fortune, must be in want of a wife. However \
+ little known the feelings or views of such a man may be on his \
+ first entering a neighbourhood, this truth is so well fixed in \
+ the minds of the surrounding families, that he is considered the \
+ rightful property of some one or other of their daughters."), \
+ 'encipher'), \
+ translist={(2, 0, 5, 3, 1, 4, 6): ['encipher'], \
+ (5, 0, 6, 1, 3, 4, 2): ['fourteen'], \
+ (6, 1, 0, 4, 5, 3, 2): ['keyword']}) # doctest: +ELLIPSIS
+ (((2, 0, 5, 3, 1, 4, 6), False, False), -709.4646722...)
+ >>> column_transposition_break(column_transposition_encipher(sanitise( \
+ "It is a truth universally acknowledged, that a single man in \
+ possession of a good fortune, must be in want of a wife. However \
+ little known the feelings or views of such a man may be on his \
+ first entering a neighbourhood, this truth is so well fixed in \
+ the minds of the surrounding families, that he is considered the \
+ rightful property of some one or other of their daughters."), \
+ 'encipher'), \
+ translist={(2, 0, 5, 3, 1, 4, 6): ['encipher'], \
+ (5, 0, 6, 1, 3, 4, 2): ['fourteen'], \
+ (6, 1, 0, 4, 5, 3, 2): ['keyword']}, \
+ fitness=Ptrigrams) # doctest: +ELLIPSIS
+ (((2, 0, 5, 3, 1, 4, 6), False, False), -997.0129085...)
+ """
+ if translist is None:
+ translist = transpositions
+
+ with multiprocessing.Pool() as pool:
+ helper_args = [(message, trans, fillcolumnwise, emptycolumnwise,
+ fitness)
+ for trans in translist
+ for fillcolumnwise in [True, False]
+ for emptycolumnwise in [True, False]]
+ # Gotcha: the helper function here needs to be defined at the top level
+ # (limitation of Pool.starmap)
+ breaks = pool.starmap(column_transposition_break_worker,
+ helper_args, chunksize)
+ return max(breaks, key=lambda k: k[1])
+
+def column_transposition_break_worker(message, transposition,
+ fillcolumnwise, emptycolumnwise, fitness):
+ plaintext = column_transposition_decipher(message, transposition,
+ fillcolumnwise=fillcolumnwise, emptycolumnwise=emptycolumnwise)
+ fit = fitness(sanitise(plaintext))
+ return (transposition, fillcolumnwise, emptycolumnwise), fit
+
+
+def scytale_break(message, max_key_length=20,
+ fitness=Pbigrams, chunksize=500):
+ """Breaks a scytale cipher using a range of lengths and
+ n-gram frequency analysis
+
+ >>> scytale_break(scytale_encipher(sanitise( \
+ "It is a truth universally acknowledged, that a single man in \
+ possession of a good fortune, must be in want of a wife. However \
+ little known the feelings or views of such a man may be on his \
+ first entering a neighbourhood, this truth is so well fixed in \
+ the minds of the surrounding families, that he is considered the \
+ rightful property of some one or other of their daughters."), \
+ 5)) # doctest: +ELLIPSIS
+ (5, -709.4646722...)
+ >>> scytale_break(scytale_encipher(sanitise( \
+ "It is a truth universally acknowledged, that a single man in \
+ possession of a good fortune, must be in want of a wife. However \
+ little known the feelings or views of such a man may be on his \
+ first entering a neighbourhood, this truth is so well fixed in \
+ the minds of the surrounding families, that he is considered the \
+ rightful property of some one or other of their daughters."), \
+ 5), \
+ fitness=Ptrigrams) # doctest: +ELLIPSIS
+ (5, -997.0129085...)
+ """
+ with multiprocessing.Pool() as pool:
+ helper_args = [(message, trans, False, True, fitness)
+ for trans in
+ [[col for col in range(math.ceil(len(message)/rows))]
+ for rows in range(1,max_key_length+1)]]
+ # Gotcha: the helper function here needs to be defined at the top level
+ # (limitation of Pool.starmap)
+ breaks = pool.starmap(column_transposition_break_worker,
+ helper_args, chunksize)
+ best = max(breaks, key=lambda k: k[1])
+ return math.trunc(len(message) / len(best[0][0])), best[1]
+
+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.column_transposition.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.column_transposition.column_transposition_break"><code class="name flex">
+<span>def <span class="ident">column_transposition_break</span></span>(<span>message, translist=None, fitness=<function Pbigrams>, chunksize=500)</span>
+</code></dt>
+<dd>
+<div class="desc"><p>Breaks a column transposition cipher using a dictionary and
+n-gram frequency analysis</p>
+<p>If <code>translist</code> is not specified, use
+<a href="support/language_models.html#szyfrow.support.language_models.transpositions"><code>szyfrow.support.langauge_models.transpositions</code></a>.</p>
+<pre><code class="language-python-repl">>>> len(keywords)
+20
+</code></pre>
+<pre><code class="language-python-repl">>>> column_transposition_break(column_transposition_encipher(sanitise( "It is a truth universally acknowledged, that a single man in possession of a good fortune, must be in want of a wife. However little known the feelings or views of such a man may be on his first entering a neighbourhood, this truth is so well fixed in the minds of the surrounding families, that he is considered the rightful property of some one or other of their daughters."), 'encipher'), translist={(2, 0, 5, 3, 1, 4, 6): ['encipher'], (5, 0, 6, 1, 3, 4, 2): ['fourteen'], (6, 1, 0, 4, 5, 3, 2): ['keyword']}) # doctest: +ELLIPSIS
+(((2, 0, 5, 3, 1, 4, 6), False, False), -709.4646722...)
+>>> column_transposition_break(column_transposition_encipher(sanitise( "It is a truth universally acknowledged, that a single man in possession of a good fortune, must be in want of a wife. However little known the feelings or views of such a man may be on his first entering a neighbourhood, this truth is so well fixed in the minds of the surrounding families, that he is considered the rightful property of some one or other of their daughters."), 'encipher'), translist={(2, 0, 5, 3, 1, 4, 6): ['encipher'], (5, 0, 6, 1, 3, 4, 2): ['fourteen'], (6, 1, 0, 4, 5, 3, 2): ['keyword']}, fitness=Ptrigrams) # doctest: +ELLIPSIS
+(((2, 0, 5, 3, 1, 4, 6), False, False), -997.0129085...)
+</code></pre></div>
+<details class="source">
+<summary>
+<span>Expand source code</span>
+</summary>
+<pre><code class="python">def column_transposition_break(message, translist=None,
+ fitness=Pbigrams, chunksize=500):
+ """Breaks a column transposition cipher using a dictionary and
+ n-gram frequency analysis
+
+ If `translist` is not specified, use
+ [`szyfrow.support.langauge_models.transpositions`](support/language_models.html#szyfrow.support.language_models.transpositions).
+
+ >>> len(keywords)
+ 20
+
+ >>> column_transposition_break(column_transposition_encipher(sanitise( \
+ "It is a truth universally acknowledged, that a single man in \
+ possession of a good fortune, must be in want of a wife. However \
+ little known the feelings or views of such a man may be on his \
+ first entering a neighbourhood, this truth is so well fixed in \
+ the minds of the surrounding families, that he is considered the \
+ rightful property of some one or other of their daughters."), \
+ 'encipher'), \
+ translist={(2, 0, 5, 3, 1, 4, 6): ['encipher'], \
+ (5, 0, 6, 1, 3, 4, 2): ['fourteen'], \
+ (6, 1, 0, 4, 5, 3, 2): ['keyword']}) # doctest: +ELLIPSIS
+ (((2, 0, 5, 3, 1, 4, 6), False, False), -709.4646722...)
+ >>> column_transposition_break(column_transposition_encipher(sanitise( \
+ "It is a truth universally acknowledged, that a single man in \
+ possession of a good fortune, must be in want of a wife. However \
+ little known the feelings or views of such a man may be on his \
+ first entering a neighbourhood, this truth is so well fixed in \
+ the minds of the surrounding families, that he is considered the \
+ rightful property of some one or other of their daughters."), \
+ 'encipher'), \
+ translist={(2, 0, 5, 3, 1, 4, 6): ['encipher'], \
+ (5, 0, 6, 1, 3, 4, 2): ['fourteen'], \
+ (6, 1, 0, 4, 5, 3, 2): ['keyword']}, \
+ fitness=Ptrigrams) # doctest: +ELLIPSIS
+ (((2, 0, 5, 3, 1, 4, 6), False, False), -997.0129085...)
+ """
+ if translist is None:
+ translist = transpositions
+
+ with multiprocessing.Pool() as pool:
+ helper_args = [(message, trans, fillcolumnwise, emptycolumnwise,
+ fitness)
+ for trans in translist
+ for fillcolumnwise in [True, False]
+ for emptycolumnwise in [True, False]]
+ # Gotcha: the helper function here needs to be defined at the top level
+ # (limitation of Pool.starmap)
+ breaks = pool.starmap(column_transposition_break_worker,
+ helper_args, chunksize)
+ return max(breaks, key=lambda k: k[1])</code></pre>
+</details>
+</dd>
+<dt id="szyfrow.column_transposition.column_transposition_break_worker"><code class="name flex">
+<span>def <span class="ident">column_transposition_break_worker</span></span>(<span>message, transposition, fillcolumnwise, emptycolumnwise, fitness)</span>
+</code></dt>
+<dd>
+<div class="desc"></div>
+<details class="source">
+<summary>
+<span>Expand source code</span>
+</summary>
+<pre><code class="python">def column_transposition_break_worker(message, transposition,
+ fillcolumnwise, emptycolumnwise, fitness):
+ plaintext = column_transposition_decipher(message, transposition,
+ fillcolumnwise=fillcolumnwise, emptycolumnwise=emptycolumnwise)
+ fit = fitness(sanitise(plaintext))
+ return (transposition, fillcolumnwise, emptycolumnwise), fit</code></pre>
+</details>
+</dd>
+<dt id="szyfrow.column_transposition.column_transposition_decipher"><code class="name flex">
+<span>def <span class="ident">column_transposition_decipher</span></span>(<span>message, keyword, fillvalue=' ', fillcolumnwise=False, emptycolumnwise=False)</span>
+</code></dt>
+<dd>
+<div class="desc"><p>Deciphers using the column transposition cipher.
+Message is padded to allow all rows to be the same length.</p>
+<p>Note that <code>fillcolumnwise</code> and <code>emptycolumnwise</code> refer to how the message
+is enciphered. To decipher a message, the operations are performed as an
+inverse-empty, then inverse-transposition, then inverse-fill.</p>
+<pre><code class="language-python-repl">>>> column_transposition_decipher('hellothere', 'abcde', fillcolumnwise=True, emptycolumnwise=True)
+'hellothere'
+>>> column_transposition_decipher('hlohreltee', 'abcde', fillcolumnwise=True, emptycolumnwise=False)
+'hellothere'
+>>> column_transposition_decipher('htehlelroe', 'abcde', fillcolumnwise=False, emptycolumnwise=True)
+'hellothere'
+>>> column_transposition_decipher('hellothere', 'abcde', fillcolumnwise=False, emptycolumnwise=False)
+'hellothere'
+>>> column_transposition_decipher('heotllrehe', 'clever', fillcolumnwise=True, emptycolumnwise=True)
+'hellothere'
+>>> column_transposition_decipher('holrhetlee', 'clever', fillcolumnwise=True, emptycolumnwise=False)
+'hellothere'
+>>> column_transposition_decipher('htleehoelr', 'clever', fillcolumnwise=False, emptycolumnwise=True)
+'hellothere'
+>>> column_transposition_decipher('hleolteher', 'clever', fillcolumnwise=False, emptycolumnwise=False)
+'hellothere'
+</code></pre></div>
+<details class="source">
+<summary>
+<span>Expand source code</span>
+</summary>
+<pre><code class="python">def column_transposition_decipher(message, keyword, fillvalue=' ',
+ fillcolumnwise=False,
+ emptycolumnwise=False):
+ """Deciphers using the column transposition cipher.
+ Message is padded to allow all rows to be the same length.
+
+ Note that `fillcolumnwise` and `emptycolumnwise` refer to how the message
+ is enciphered. To decipher a message, the operations are performed as an
+ inverse-empty, then inverse-transposition, then inverse-fill.
+
+ >>> column_transposition_decipher('hellothere', 'abcde', fillcolumnwise=True, emptycolumnwise=True)
+ 'hellothere'
+ >>> column_transposition_decipher('hlohreltee', 'abcde', fillcolumnwise=True, emptycolumnwise=False)
+ 'hellothere'
+ >>> column_transposition_decipher('htehlelroe', 'abcde', fillcolumnwise=False, emptycolumnwise=True)
+ 'hellothere'
+ >>> column_transposition_decipher('hellothere', 'abcde', fillcolumnwise=False, emptycolumnwise=False)
+ 'hellothere'
+ >>> column_transposition_decipher('heotllrehe', 'clever', fillcolumnwise=True, emptycolumnwise=True)
+ 'hellothere'
+ >>> column_transposition_decipher('holrhetlee', 'clever', fillcolumnwise=True, emptycolumnwise=False)
+ 'hellothere'
+ >>> column_transposition_decipher('htleehoelr', 'clever', fillcolumnwise=False, emptycolumnwise=True)
+ 'hellothere'
+ >>> column_transposition_decipher('hleolteher', 'clever', fillcolumnwise=False, emptycolumnwise=False)
+ 'hellothere'
+ """
+ transpositions = transpositions_of(keyword)
+ message += pad(len(message), len(transpositions), fillvalue)
+ if emptycolumnwise:
+ rows = every_nth(message, len(message) // len(transpositions))
+ else:
+ rows = chunks(message, len(transpositions))
+ untransposed = [untranspose(r, transpositions) for r in rows]
+ if fillcolumnwise:
+ return combine_every_nth(untransposed)
+ else:
+ return cat(chain(*untransposed))</code></pre>
+</details>
+</dd>
+<dt id="szyfrow.column_transposition.column_transposition_encipher"><code class="name flex">
+<span>def <span class="ident">column_transposition_encipher</span></span>(<span>message, keyword, fillvalue=' ', fillcolumnwise=False, emptycolumnwise=False)</span>
+</code></dt>
+<dd>
+<div class="desc"><p>Enciphers using the column transposition cipher.
+Message is padded to allow all rows to be the same length.</p>
+<pre><code class="language-python-repl">>>> column_transposition_encipher('hellothere', 'abcdef', fillcolumnwise=True)
+'hlohr eltee '
+>>> column_transposition_encipher('hellothere', 'abcdef', fillcolumnwise=True, emptycolumnwise=True)
+'hellothere '
+>>> column_transposition_encipher('hellothere', 'abcdef')
+'hellothere '
+>>> column_transposition_encipher('hellothere', 'abcde')
+'hellothere'
+>>> column_transposition_encipher('hellothere', 'abcde', fillcolumnwise=True, emptycolumnwise=True)
+'hellothere'
+>>> column_transposition_encipher('hellothere', 'abcde', fillcolumnwise=True, emptycolumnwise=False)
+'hlohreltee'
+>>> column_transposition_encipher('hellothere', 'abcde', fillcolumnwise=False, emptycolumnwise=True)
+'htehlelroe'
+>>> column_transposition_encipher('hellothere', 'abcde', fillcolumnwise=False, emptycolumnwise=False)
+'hellothere'
+>>> column_transposition_encipher('hellothere', 'clever', fillcolumnwise=True, emptycolumnwise=True)
+'heotllrehe'
+>>> column_transposition_encipher('hellothere', 'clever', fillcolumnwise=True, emptycolumnwise=False)
+'holrhetlee'
+>>> column_transposition_encipher('hellothere', 'clever', fillcolumnwise=False, emptycolumnwise=True)
+'htleehoelr'
+>>> column_transposition_encipher('hellothere', 'clever', fillcolumnwise=False, emptycolumnwise=False)
+'hleolteher'
+>>> column_transposition_encipher('hellothere', 'cleverly')
+'hleolthre e '
+>>> column_transposition_encipher('hellothere', 'cleverly', fillvalue='!')
+'hleolthre!e!'
+>>> column_transposition_encipher('hellothere', 'cleverly', fillvalue=lambda: '*')
+'hleolthre*e*'
+</code></pre></div>
+<details class="source">
+<summary>
+<span>Expand source code</span>
+</summary>
+<pre><code class="python">def column_transposition_encipher(message, keyword, fillvalue=' ',
+ fillcolumnwise=False,
+ emptycolumnwise=False):
+ """Enciphers using the column transposition cipher.
+ Message is padded to allow all rows to be the same length.
+
+ >>> column_transposition_encipher('hellothere', 'abcdef', fillcolumnwise=True)
+ 'hlohr eltee '
+ >>> column_transposition_encipher('hellothere', 'abcdef', fillcolumnwise=True, emptycolumnwise=True)
+ 'hellothere '
+ >>> column_transposition_encipher('hellothere', 'abcdef')
+ 'hellothere '
+ >>> column_transposition_encipher('hellothere', 'abcde')
+ 'hellothere'
+ >>> column_transposition_encipher('hellothere', 'abcde', fillcolumnwise=True, emptycolumnwise=True)
+ 'hellothere'
+ >>> column_transposition_encipher('hellothere', 'abcde', fillcolumnwise=True, emptycolumnwise=False)
+ 'hlohreltee'
+ >>> column_transposition_encipher('hellothere', 'abcde', fillcolumnwise=False, emptycolumnwise=True)
+ 'htehlelroe'
+ >>> column_transposition_encipher('hellothere', 'abcde', fillcolumnwise=False, emptycolumnwise=False)
+ 'hellothere'
+ >>> column_transposition_encipher('hellothere', 'clever', fillcolumnwise=True, emptycolumnwise=True)
+ 'heotllrehe'
+ >>> column_transposition_encipher('hellothere', 'clever', fillcolumnwise=True, emptycolumnwise=False)
+ 'holrhetlee'
+ >>> column_transposition_encipher('hellothere', 'clever', fillcolumnwise=False, emptycolumnwise=True)
+ 'htleehoelr'
+ >>> column_transposition_encipher('hellothere', 'clever', fillcolumnwise=False, emptycolumnwise=False)
+ 'hleolteher'
+ >>> column_transposition_encipher('hellothere', 'cleverly')
+ 'hleolthre e '
+ >>> column_transposition_encipher('hellothere', 'cleverly', fillvalue='!')
+ 'hleolthre!e!'
+ >>> column_transposition_encipher('hellothere', 'cleverly', fillvalue=lambda: '*')
+ 'hleolthre*e*'
+ """
+ transpositions = transpositions_of(keyword)
+ message += pad(len(message), len(transpositions), fillvalue)
+ if fillcolumnwise:
+ rows = every_nth(message, len(message) // len(transpositions))
+ else:
+ rows = chunks(message, len(transpositions))
+ transposed = [transpose(r, transpositions) for r in rows]
+ if emptycolumnwise:
+ return combine_every_nth(transposed)
+ else:
+ return cat(chain(*transposed))</code></pre>
+</details>
+</dd>
+<dt id="szyfrow.column_transposition.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.column_transposition.scytale_break"><code class="name flex">
+<span>def <span class="ident">scytale_break</span></span>(<span>message, max_key_length=20, fitness=<function Pbigrams>, chunksize=500)</span>
+</code></dt>
+<dd>
+<div class="desc"><p>Breaks a scytale cipher using a range of lengths and
+n-gram frequency analysis</p>
+<pre><code class="language-python-repl">>>> scytale_break(scytale_encipher(sanitise( "It is a truth universally acknowledged, that a single man in possession of a good fortune, must be in want of a wife. However little known the feelings or views of such a man may be on his first entering a neighbourhood, this truth is so well fixed in the minds of the surrounding families, that he is considered the rightful property of some one or other of their daughters."), 5)) # doctest: +ELLIPSIS
+(5, -709.4646722...)
+>>> scytale_break(scytale_encipher(sanitise( "It is a truth universally acknowledged, that a single man in possession of a good fortune, must be in want of a wife. However little known the feelings or views of such a man may be on his first entering a neighbourhood, this truth is so well fixed in the minds of the surrounding families, that he is considered the rightful property of some one or other of their daughters."), 5), fitness=Ptrigrams) # doctest: +ELLIPSIS
+(5, -997.0129085...)
+</code></pre></div>
+<details class="source">
+<summary>
+<span>Expand source code</span>
+</summary>
+<pre><code class="python">def scytale_break(message, max_key_length=20,
+ fitness=Pbigrams, chunksize=500):
+ """Breaks a scytale cipher using a range of lengths and
+ n-gram frequency analysis
+
+ >>> scytale_break(scytale_encipher(sanitise( \
+ "It is a truth universally acknowledged, that a single man in \
+ possession of a good fortune, must be in want of a wife. However \
+ little known the feelings or views of such a man may be on his \
+ first entering a neighbourhood, this truth is so well fixed in \
+ the minds of the surrounding families, that he is considered the \
+ rightful property of some one or other of their daughters."), \
+ 5)) # doctest: +ELLIPSIS
+ (5, -709.4646722...)
+ >>> scytale_break(scytale_encipher(sanitise( \
+ "It is a truth universally acknowledged, that a single man in \
+ possession of a good fortune, must be in want of a wife. However \
+ little known the feelings or views of such a man may be on his \
+ first entering a neighbourhood, this truth is so well fixed in \
+ the minds of the surrounding families, that he is considered the \
+ rightful property of some one or other of their daughters."), \
+ 5), \
+ fitness=Ptrigrams) # doctest: +ELLIPSIS
+ (5, -997.0129085...)
+ """
+ with multiprocessing.Pool() as pool:
+ helper_args = [(message, trans, False, True, fitness)
+ for trans in
+ [[col for col in range(math.ceil(len(message)/rows))]
+ for rows in range(1,max_key_length+1)]]
+ # Gotcha: the helper function here needs to be defined at the top level
+ # (limitation of Pool.starmap)
+ breaks = pool.starmap(column_transposition_break_worker,
+ helper_args, chunksize)
+ best = max(breaks, key=lambda k: k[1])
+ return math.trunc(len(message) / len(best[0][0])), best[1]</code></pre>
+</details>
+</dd>
+<dt id="szyfrow.column_transposition.scytale_decipher"><code class="name flex">
+<span>def <span class="ident">scytale_decipher</span></span>(<span>message, rows)</span>
+</code></dt>
+<dd>
+<div class="desc"><p>Deciphers using the scytale transposition cipher.
+Assumes the message is padded so that all rows are the same length.</p>
+<pre><code class="language-python-repl">>>> scytale_decipher('tcnhkfeboqrxuo iw ', 3)
+'thequickbrownfox '
+>>> scytale_decipher('tubnhirfecooqkwx', 4)
+'thequickbrownfox'
+>>> scytale_decipher('tubn hirf ecoo qkwx ', 5)
+'thequickbrownfox '
+>>> scytale_decipher('tqcrnxhukof eibwo ', 6)
+'thequickbrownfox '
+>>> scytale_decipher('tqcrnx hukof eibwo ', 7)
+'thequickbrownfox '
+</code></pre></div>
+<details class="source">
+<summary>
+<span>Expand source code</span>
+</summary>
+<pre><code class="python">def scytale_decipher(message, rows):
+ """Deciphers using the scytale transposition cipher.
+ Assumes the message is padded so that all rows are the same length.
+
+ >>> scytale_decipher('tcnhkfeboqrxuo iw ', 3)
+ 'thequickbrownfox '
+ >>> scytale_decipher('tubnhirfecooqkwx', 4)
+ 'thequickbrownfox'
+ >>> scytale_decipher('tubn hirf ecoo qkwx ', 5)
+ 'thequickbrownfox '
+ >>> scytale_decipher('tqcrnxhukof eibwo ', 6)
+ 'thequickbrownfox '
+ >>> scytale_decipher('tqcrnx hukof eibwo ', 7)
+ 'thequickbrownfox '
+ """
+ # transpositions = [i for i in range(math.ceil(len(message) / rows))]
+ # return column_transposition_decipher(message, transpositions,
+ # fillcolumnwise=False, emptycolumnwise=True)
+ transpositions = [i for i in range(rows)]
+ return column_transposition_decipher(message, transpositions,
+ fillcolumnwise=True, emptycolumnwise=False)</code></pre>
+</details>
+</dd>
+<dt id="szyfrow.column_transposition.scytale_encipher"><code class="name flex">
+<span>def <span class="ident">scytale_encipher</span></span>(<span>message, rows, fillvalue=' ')</span>
+</code></dt>
+<dd>
+<div class="desc"><p>Enciphers using the scytale transposition cipher. <code>rows</code> is the
+circumference of the rod. The message is fitted inot columns so that
+all rows are used.</p>
+<p>Message is padded with spaces to allow all rows to be the same length.</p>
+<p>For ease of implementation, the cipher is performed on the transpose
+of the grid</p>
+<pre><code class="language-python-repl">>>> scytale_encipher('thequickbrownfox', 3)
+'tcnhkfeboqrxuo iw '
+>>> scytale_encipher('thequickbrownfox', 4)
+'tubnhirfecooqkwx'
+>>> scytale_encipher('thequickbrownfox', 5)
+'tubn hirf ecoo qkwx '
+>>> scytale_encipher('thequickbrownfox', 6)
+'tqcrnxhukof eibwo '
+>>> scytale_encipher('thequickbrownfox', 7)
+'tqcrnx hukof eibwo '
+</code></pre></div>
+<details class="source">
+<summary>
+<span>Expand source code</span>
+</summary>
+<pre><code class="python">def scytale_encipher(message, rows, fillvalue=' '):
+ """Enciphers using the scytale transposition cipher. `rows` is the
+ circumference of the rod. The message is fitted inot columns so that
+ all rows are used.
+
+ Message is padded with spaces to allow all rows to be the same length.
+
+ For ease of implementation, the cipher is performed on the transpose
+ of the grid
+
+ >>> scytale_encipher('thequickbrownfox', 3)
+ 'tcnhkfeboqrxuo iw '
+ >>> scytale_encipher('thequickbrownfox', 4)
+ 'tubnhirfecooqkwx'
+ >>> scytale_encipher('thequickbrownfox', 5)
+ 'tubn hirf ecoo qkwx '
+ >>> scytale_encipher('thequickbrownfox', 6)
+ 'tqcrnxhukof eibwo '
+ >>> scytale_encipher('thequickbrownfox', 7)
+ 'tqcrnx hukof eibwo '
+ """
+ # transpositions = [i for i in range(math.ceil(len(message) / rows))]
+ # return column_transposition_encipher(message, transpositions,
+ # fillvalue=fillvalue, fillcolumnwise=False, emptycolumnwise=True)
+ transpositions = (i for i in range(rows))
+ return column_transposition_encipher(message, transpositions,
+ fillvalue=fillvalue, fillcolumnwise=True, emptycolumnwise=False)</code></pre>
+</details>
+</dd>
+<dt id="szyfrow.column_transposition.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.column_transposition.cat" href="#szyfrow.column_transposition.cat">cat</a></code></li>
+<li><code><a title="szyfrow.column_transposition.column_transposition_break" href="#szyfrow.column_transposition.column_transposition_break">column_transposition_break</a></code></li>
+<li><code><a title="szyfrow.column_transposition.column_transposition_break_worker" href="#szyfrow.column_transposition.column_transposition_break_worker">column_transposition_break_worker</a></code></li>
+<li><code><a title="szyfrow.column_transposition.column_transposition_decipher" href="#szyfrow.column_transposition.column_transposition_decipher">column_transposition_decipher</a></code></li>
+<li><code><a title="szyfrow.column_transposition.column_transposition_encipher" href="#szyfrow.column_transposition.column_transposition_encipher">column_transposition_encipher</a></code></li>
+<li><code><a title="szyfrow.column_transposition.lcat" href="#szyfrow.column_transposition.lcat">lcat</a></code></li>
+<li><code><a title="szyfrow.column_transposition.scytale_break" href="#szyfrow.column_transposition.scytale_break">scytale_break</a></code></li>
+<li><code><a title="szyfrow.column_transposition.scytale_decipher" href="#szyfrow.column_transposition.scytale_decipher">scytale_decipher</a></code></li>
+<li><code><a title="szyfrow.column_transposition.scytale_encipher" href="#szyfrow.column_transposition.scytale_encipher">scytale_encipher</a></code></li>
+<li><code><a title="szyfrow.column_transposition.wcat" href="#szyfrow.column_transposition.wcat">wcat</a></code></li>
+</ul>
+</li>
+</ul>
+</nav>
+</main>
+<footer id="footer">
+<p>Generated by <a href="https://pdoc3.github.io/pdoc"><cite>pdoc</cite> 0.9.2</a>.</p>
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+<script>window.addEventListener('DOMContentLoaded', () => hljs.initHighlighting())</script>
+</head>
+<body>
+<main>
+<article id="content">
+<header>
+<h1 class="title">Module <code>szyfrow.enigma</code></h1>
+</header>
+<section id="section-intro">
+<p>A simulator for Enigma machines.</p>
+<p>See <code><a title="szyfrow.bombe.Bombe" href="bombe.html#szyfrow.bombe.Bombe">Bombe</a></code> for an implementation of the Bombe to break Enigma
+messages.</p>
+<p>Specification from <a href="http://www.codesandciphers.org.uk/enigma/rotorspec.htm">Codes and Ciphers</a> page.</p>
+<p>Example Enigma machines from <a href="http://enigma.louisedade.co.uk/enigma.html">Louise Dale</a> (full simulation) and <a href="http://enigmaco.de/enigma/enigma.html">EnigmaCo</a> (good animation of the wheels, but no ring settings).</p>
+<p>There's also the nice Enigma simulator for Android by <a href="https://franklinheath.co.uk/2012/02/04/our-first-app-published-enigma-simulator/">Franklin Heath</a>, available on the <a href="https://play.google.com/store/apps/details?id=uk.co.franklinheath.enigmasim&hl=en_GB">Google Play store</a>.</p>
+<details class="source">
+<summary>
+<span>Expand source code</span>
+</summary>
+<pre><code class="python">"""A simulator for Enigma machines.
+
+See `szyfrow.bombe.Bombe` for an implementation of the Bombe to break Enigma
+messages.
+
+Specification from [Codes and Ciphers](http://www.codesandciphers.org.uk/enigma/rotorspec.htm) page.
+
+Example Enigma machines from [Louise Dale](http://enigma.louisedade.co.uk/enigma.html) (full simulation) and [EnigmaCo](http://enigmaco.de/enigma/enigma.html) (good animation of the wheels, but no ring settings).
+
+There's also the nice Enigma simulator for Android by [Franklin Heath](https://franklinheath.co.uk/2012/02/04/our-first-app-published-enigma-simulator/), available on the [Google Play store](https://play.google.com/store/apps/details?id=uk.co.franklinheath.enigmasim&hl=en_GB).
+"""
+
+import string
+import collections
+import multiprocessing
+import itertools
+
+from szyfrow.support.utilities import *
+
+# # Some convenience functions
+
+# cat = ''.join
+
+# def clean(text): return cat(l.lower() for l in text if l in string.ascii_letters)
+
+# def pos(letter):
+# if letter in string.ascii_lowercase:
+# return ord(letter) - ord('a')
+# elif letter in string.ascii_uppercase:
+# return ord(letter) - ord('A')
+# else:
+# return ''
+
+# def unpos(number): return chr(number % 26 + ord('a'))
+
+
+wheel_i_spec = 'ekmflgdqvzntowyhxuspaibrcj'
+wheel_ii_spec = 'ajdksiruxblhwtmcqgznpyfvoe'
+wheel_iii_spec = 'bdfhjlcprtxvznyeiwgakmusqo'
+wheel_iv_spec = 'esovpzjayquirhxlnftgkdcmwb'
+wheel_v_spec = 'vzbrgityupsdnhlxawmjqofeck'
+wheel_vi_spec = 'jpgvoumfyqbenhzrdkasxlictw'
+wheel_vii_spec = 'nzjhgrcxmyswboufaivlpekqdt'
+wheel_viii_spec = 'fkqhtlxocbjspdzramewniuygv'
+beta_wheel_spec = 'leyjvcnixwpbqmdrtakzgfuhos'
+gamma_wheel_spec = 'fsokanuerhmbtiycwlqpzxvgjd'
+
+wheel_i_notches = ['q']
+wheel_ii_notches = ['e']
+wheel_iii_notches = ['v']
+wheel_iv_notches = ['j']
+wheel_v_notches = ['z']
+wheel_vi_notches = ['z', 'm']
+wheel_vii_notches = ['z', 'm']
+wheel_viii_notches = ['z', 'm']
+
+reflector_b_spec = 'ay br cu dh eq fs gl ip jx kn mo tz vw'
+reflector_c_spec = 'af bv cp dj ei go hy kr lz mx nw tq su'
+
+
+
+class LetterTransformer(object):
+ """A generic substitution cipher, that has different transforms in the
+ forward and backward directions. It requires that the transforms for all
+ letters by provided.
+
+ A `transform` is a list of letter pairs, like `[('a', 'b'), ('c', 'd')]`.
+ That would say that, in the forward direction `a` goes to `b` and
+ `c` goes to `d`. In the backward direction, `b` goes to `a` and `d` goes
+ to `c`.
+ """
+ def __init__(self, specification, raw_transform=False):
+ """Validate and create a new transformer. The transform is parsed by
+ `LetterTransformer.parse_specification` unless `raw_transform` is `True`
+ """
+ if raw_transform:
+ transform = specification
+ else:
+ transform = self.parse_specification(specification)
+ self.validate_transform(transform)
+ self.make_transform_map(transform)
+
+ def parse_specification(self, specification):
+ """Turn a `specification` string into a transform, by zipping it
+ with ASCII lowercase letters to generate the pairs. This assumes that
+ the `specification` defines the destination of the forward transform.
+ """
+ return list(zip(string.ascii_lowercase, sanitise(specification)))
+ # return specification
+
+ def validate_transform(self, transform):
+ """Checks that a transform is valid (every letter is mapped to
+ exactly one other letter, in both directions).
+ """
+ if len(transform) != 26:
+ raise ValueError("Transform specification has {} pairs, requires 26".
+ format(len(transform)))
+ for p in transform:
+ if len(p) != 2:
+ raise ValueError("Not all mappings in transform "
+ "have two elements")
+ if len(set([p[0] for p in transform])) != 26:
+ raise ValueError("Transform specification must list 26 origin letters")
+ if len(set([p[1] for p in transform])) != 26:
+ raise ValueError("Transform specification must list 26 destination letters")
+
+ def make_empty_transform(self):
+ """An empty transform is one that maps every letter to 'a'.
+ """
+ self.forward_map = [0] * 26
+ self.backward_map = [0] * 26
+
+ def make_transform_map(self, transform):
+ """Create `forward_map` and `backward_map` from `transform`. The maps
+ work on letter positions, not letter values. This makes the arithmetic
+ for wheels much easier.
+ """
+ self.make_empty_transform()
+ for p in transform:
+ self.forward_map[pos(p[0])] = pos(p[1])
+ self.backward_map[pos(p[1])] = pos(p[0])
+ return self.forward_map, self.backward_map
+
+ def forward(self, letter):
+ """Apply a map in the forward direction.
+ """
+ if letter in string.ascii_lowercase:
+ return unpos(self.forward_map[pos(letter)])
+ else:
+ return ''
+
+ def backward(self, letter):
+ """Apply a map in the backward direction.
+ """
+ if letter in string.ascii_lowercase:
+ return unpos(self.backward_map[pos(letter)])
+ else:
+ return ''
+
+
+class Plugboard(LetterTransformer):
+ """A plugboard, a type of letter transformer where forward and backward
+ transforms are the same. If a letter isn't explicitly transformed, it is
+ kept as it is.
+ """
+
+ def parse_specification(self, specification):
+ """Convert a specification into a transform. The specification is
+ given as a list of letter pairs.
+ """
+ return [tuple(sanitise(p)) for p in specification.split()]
+
+ def validate_transform(self, transform):
+ """A set of pairs, of from-to. Does not require all 26 letters
+ are in the transform.
+ """
+ for p in transform:
+ if len(p) != 2:
+ raise ValueError("Not all mappings in transform"
+ "have two elements")
+
+ def make_empty_transform(self):
+ """An empty transform maps every letter to itself.
+ """
+ self.forward_map = list(range(26))
+ self.backward_map = list(range(26))
+
+ def make_transform_map(self, transform):
+ """Makes the maps for a plugboard. Ensures that if the pair ('a', 'b')
+ is in the specification, the pair ('b', 'a') is also present.
+ """
+ expanded_transform = transform + [tuple(reversed(p)) for p in transform]
+ return super(Plugboard, self).make_transform_map(expanded_transform)
+
+
+
+
+class Reflector(Plugboard):
+ """A reflector is a plugboard that requires 13 transforms.
+ The 'plugboard' superclass ensures that all 13 transforms are also applied
+ in reverse, making 26 transforms in all.
+ """
+ def validate_transform(self, transform):
+ if len(transform) != 13:
+ raise ValueError("Reflector specification has {} pairs, requires 13".
+ format(len(transform)))
+ if len(set([p[0] for p in transform] +
+ [p[1] for p in transform])) != 26:
+ raise ValueError("Reflector specification does not contain 26 letters")
+ try:
+ super(Reflector, self).validate_transform(transform)
+ except ValueError as v:
+ raise ValueError("Not all mappings in reflector have two elements")
+
+
+
+
+class SimpleWheel(LetterTransformer):
+ """A wheel is a transform that rotates.
+
+ Looking from the right, letters go in sequence a-b-c clockwise around the
+ wheel.
+
+ The position of the wheel is the number of spaces anticlockwise the wheel
+ has turned.
+
+ Letter inputs and outputs are given relative to the frame holding the wheel,
+ so if the wheel is advanced three places, an input of 'p' will enter the
+ wheel on the position under the wheel's 's' label.
+ """
+ def __init__(self, transform, position='a', raw_transform=False):
+ super(SimpleWheel, self).__init__(transform, raw_transform)
+ self.set_position(position)
+
+ def __getattribute__(self,name):
+ if name=='position_l':
+ return unpos(self.position)
+ else:
+ return object.__getattribute__(self, name)
+
+ def set_position(self, position):
+ """Sets a wheel's position. If the `position` is a string, convert it
+ to a number and set the position.
+ """
+ if isinstance(position, str):
+ self.position = pos(position)
+ else:
+ self.position = position
+
+ def forward(self, letter):
+ """Give the transformed letter in the forward direction, accounting
+ for the position of the wheel.
+ """
+ if letter in string.ascii_lowercase:
+ return unpos((self.forward_map[(pos(letter) + self.position) % 26] - self.position))
+ else:
+ return ''
+
+ def backward(self, letter):
+ """Give the transformed letter in the backward direction, accounting
+ for the position of the wheel.
+ """
+ if letter in string.ascii_lowercase:
+ return unpos((self.backward_map[(pos(letter) + self.position) % 26] - self.position))
+ else:
+ return ''
+
+ def advance(self):
+ """Advance a wheel one position."""
+ self.position = (self.position + 1) % 26
+
+
+
+class Wheel(SimpleWheel):
+ """A wheel with a movable ring.
+
+ The ring holds the letters and the notches that turn other wheels. The core
+ holds the wiring that does the transformation.
+
+ The ring position is how many steps the core is turned relative to the ring.
+ This is one-based, so a ring setting of 1 means the core and ring are
+ aligned.
+
+ The position of the wheel is the position of the core (the transforms)
+ relative to the neutral position.
+
+ The position_l is the position of the ring, or what would be observed
+ by the user of the Enigma machine.
+
+ The notch_positions are the number of advances of this wheel before it will
+ advance the next wheel.
+ """
+ def __init__(self, transform, ring_notch_letters, ring_setting=1,
+ position='a', raw_transform=False):
+ self.ring_notch_letters = ring_notch_letters
+ self.ring_setting = ring_setting
+ super(Wheel, self).__init__(transform, position=position,
+ raw_transform=raw_transform)
+ self.set_position(position)
+
+ def __getattribute__(self,name):
+ if name=='position_l':
+ return unpos(self.position + self.ring_setting - 1)
+ else:
+ return object.__getattribute__(self, name)
+
+ def set_position(self, position):
+ if isinstance(position, str):
+ self.position = (pos(position) - self.ring_setting + 1) % 26
+ else:
+ self.position = (position - self.ring_setting) % 26
+ # # self.notch_positions = [(pos(p) - pos(position)) % 26 for p in self.ring_notch_letters]
+ # self.notch_positions = [(pos(p) - (self.position + self.ring_setting - 1)) % 26 for p in self.ring_notch_letters]
+ self.notch_positions = [(self.position + self.ring_setting - 1 - pos(p)) % 26 for p in self.ring_notch_letters]
+
+ def advance(self):
+ """Advance a wheel's core, then advance the ring position to match.
+ """
+ super(Wheel, self).advance()
+ self.notch_positions = [(p + 1) % 26 for p in self.notch_positions]
+ return self.position
+
+
+class Enigma(object):
+ """An Enigma machine.
+
+
+ """
+ def __init__(self, reflector_spec,
+ left_wheel_spec, left_wheel_notches,
+ middle_wheel_spec, middle_wheel_notches,
+ right_wheel_spec, right_wheel_notches,
+ left_ring_setting, middle_ring_setting, right_ring_setting,
+ plugboard_setting):
+ self.reflector = Reflector(reflector_spec)
+ self.left_wheel = Wheel(left_wheel_spec, left_wheel_notches,
+ ring_setting=left_ring_setting)
+ self.middle_wheel = Wheel(middle_wheel_spec, middle_wheel_notches,
+ ring_setting=middle_ring_setting)
+ self.right_wheel = Wheel(right_wheel_spec, right_wheel_notches,
+ ring_setting=right_ring_setting)
+ self.plugboard = Plugboard(plugboard_setting)
+
+ def __getattribute__(self,name):
+ if name=='wheel_positions':
+ return (self.left_wheel.position,
+ self.middle_wheel.position,
+ self.right_wheel.position
+ )
+ elif name=='wheel_positions_l':
+ return (self.left_wheel.position_l,
+ self.middle_wheel.position_l,
+ self.right_wheel.position_l
+ )
+ elif name=='notch_positions':
+ return (self.left_wheel.notch_positions,
+ self.middle_wheel.notch_positions,
+ self.right_wheel.notch_positions
+ )
+ else:
+ return object.__getattribute__(self, name)
+
+ def set_wheels(self, left_wheel_position, middle_wheel_position,
+ right_wheel_position):
+ """Set the Enigma's wheels to the specified positions.
+ """
+ self.left_wheel.set_position(left_wheel_position)
+ self.middle_wheel.set_position(middle_wheel_position)
+ self.right_wheel.set_position(right_wheel_position)
+
+ def lookup(self, letter):
+ """Lookup the enciphering of a letter, without advancing any wheels
+ """
+ a = self.plugboard.forward(letter)
+ b = self.right_wheel.forward(a)
+ c = self.middle_wheel.forward(b)
+ d = self.left_wheel.forward(c)
+ e = self.reflector.forward(d)
+ f = self.left_wheel.backward(e)
+ g = self.middle_wheel.backward(f)
+ h = self.right_wheel.backward(g)
+ i = self.plugboard.backward(h)
+ return i
+
+ def advance(self):
+ """Advance the Enigma's wheels one step. The right wheel always
+ advances. The middle and right wheels may advance if the notches
+ line up correctly.
+ """
+ advance_middle = False
+ advance_left = False
+ if 0 in self.right_wheel.notch_positions:
+ advance_middle = True
+ if 0 in self.middle_wheel.notch_positions:
+ advance_left = True
+ advance_middle = True
+ self.right_wheel.advance()
+ if advance_middle: self.middle_wheel.advance()
+ if advance_left: self.left_wheel.advance()
+
+ def encipher_letter(self, letter):
+ """Encipher a letter. Advance the Enigma machine, then lookup the
+ encryption of a letter.
+ """
+ self.advance()
+ return self.lookup(letter)
+
+ def encipher(self, message):
+ """Encipher a message."""
+ enciphered = ''
+ for letter in sanitise(message):
+ enciphered += self.encipher_letter(letter)
+ return enciphered
+
+ decipher = encipher
+
+
+# for i in range(26):
+# enigma.advance()
+# print('enigma.advance()')
+# print("assert(enigma.wheel_positions == {})".format(enigma.wheel_positions))
+# print("assert(cat(enigma.wheel_positions_l) == '{}')".format(cat(enigma.wheel_positions_l)))
+# print("assert(enigma.notch_positions == {})".format(enigma.notch_positions))
+# print("assert(cat(enigma.lookup(l) for l in string.ascii_lowercase) == '{}')".format(cat(enigma.lookup(l) for l in string.ascii_lowercase)))
+# print()
+
+
+if __name__ == "__main__":
+ import doctest
+ # doctest.testmod(extraglobs={'lt': LetterTransformer(1, 'a')})
+ doctest.testmod()</code></pre>
+</details>
+</section>
+<section>
+</section>
+<section>
+</section>
+<section>
+<h2 class="section-title" id="header-functions">Functions</h2>
+<dl>
+<dt id="szyfrow.enigma.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.enigma.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.enigma.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>
+<h2 class="section-title" id="header-classes">Classes</h2>
+<dl>
+<dt id="szyfrow.enigma.Enigma"><code class="flex name class">
+<span>class <span class="ident">Enigma</span></span>
+<span>(</span><span>reflector_spec, left_wheel_spec, left_wheel_notches, middle_wheel_spec, middle_wheel_notches, right_wheel_spec, right_wheel_notches, left_ring_setting, middle_ring_setting, right_ring_setting, plugboard_setting)</span>
+</code></dt>
+<dd>
+<div class="desc"><p>An Enigma machine.</p></div>
+<details class="source">
+<summary>
+<span>Expand source code</span>
+</summary>
+<pre><code class="python">class Enigma(object):
+ """An Enigma machine.
+
+
+ """
+ def __init__(self, reflector_spec,
+ left_wheel_spec, left_wheel_notches,
+ middle_wheel_spec, middle_wheel_notches,
+ right_wheel_spec, right_wheel_notches,
+ left_ring_setting, middle_ring_setting, right_ring_setting,
+ plugboard_setting):
+ self.reflector = Reflector(reflector_spec)
+ self.left_wheel = Wheel(left_wheel_spec, left_wheel_notches,
+ ring_setting=left_ring_setting)
+ self.middle_wheel = Wheel(middle_wheel_spec, middle_wheel_notches,
+ ring_setting=middle_ring_setting)
+ self.right_wheel = Wheel(right_wheel_spec, right_wheel_notches,
+ ring_setting=right_ring_setting)
+ self.plugboard = Plugboard(plugboard_setting)
+
+ def __getattribute__(self,name):
+ if name=='wheel_positions':
+ return (self.left_wheel.position,
+ self.middle_wheel.position,
+ self.right_wheel.position
+ )
+ elif name=='wheel_positions_l':
+ return (self.left_wheel.position_l,
+ self.middle_wheel.position_l,
+ self.right_wheel.position_l
+ )
+ elif name=='notch_positions':
+ return (self.left_wheel.notch_positions,
+ self.middle_wheel.notch_positions,
+ self.right_wheel.notch_positions
+ )
+ else:
+ return object.__getattribute__(self, name)
+
+ def set_wheels(self, left_wheel_position, middle_wheel_position,
+ right_wheel_position):
+ """Set the Enigma's wheels to the specified positions.
+ """
+ self.left_wheel.set_position(left_wheel_position)
+ self.middle_wheel.set_position(middle_wheel_position)
+ self.right_wheel.set_position(right_wheel_position)
+
+ def lookup(self, letter):
+ """Lookup the enciphering of a letter, without advancing any wheels
+ """
+ a = self.plugboard.forward(letter)
+ b = self.right_wheel.forward(a)
+ c = self.middle_wheel.forward(b)
+ d = self.left_wheel.forward(c)
+ e = self.reflector.forward(d)
+ f = self.left_wheel.backward(e)
+ g = self.middle_wheel.backward(f)
+ h = self.right_wheel.backward(g)
+ i = self.plugboard.backward(h)
+ return i
+
+ def advance(self):
+ """Advance the Enigma's wheels one step. The right wheel always
+ advances. The middle and right wheels may advance if the notches
+ line up correctly.
+ """
+ advance_middle = False
+ advance_left = False
+ if 0 in self.right_wheel.notch_positions:
+ advance_middle = True
+ if 0 in self.middle_wheel.notch_positions:
+ advance_left = True
+ advance_middle = True
+ self.right_wheel.advance()
+ if advance_middle: self.middle_wheel.advance()
+ if advance_left: self.left_wheel.advance()
+
+ def encipher_letter(self, letter):
+ """Encipher a letter. Advance the Enigma machine, then lookup the
+ encryption of a letter.
+ """
+ self.advance()
+ return self.lookup(letter)
+
+ def encipher(self, message):
+ """Encipher a message."""
+ enciphered = ''
+ for letter in sanitise(message):
+ enciphered += self.encipher_letter(letter)
+ return enciphered
+
+ decipher = encipher</code></pre>
+</details>
+<h3>Methods</h3>
+<dl>
+<dt id="szyfrow.enigma.Enigma.advance"><code class="name flex">
+<span>def <span class="ident">advance</span></span>(<span>self)</span>
+</code></dt>
+<dd>
+<div class="desc"><p>Advance the Enigma's wheels one step. The right wheel always
+advances. The middle and right wheels may advance if the notches
+line up correctly.</p></div>
+<details class="source">
+<summary>
+<span>Expand source code</span>
+</summary>
+<pre><code class="python">def advance(self):
+ """Advance the Enigma's wheels one step. The right wheel always
+ advances. The middle and right wheels may advance if the notches
+ line up correctly.
+ """
+ advance_middle = False
+ advance_left = False
+ if 0 in self.right_wheel.notch_positions:
+ advance_middle = True
+ if 0 in self.middle_wheel.notch_positions:
+ advance_left = True
+ advance_middle = True
+ self.right_wheel.advance()
+ if advance_middle: self.middle_wheel.advance()
+ if advance_left: self.left_wheel.advance()</code></pre>
+</details>
+</dd>
+<dt id="szyfrow.enigma.Enigma.decipher"><code class="name flex">
+<span>def <span class="ident">decipher</span></span>(<span>self, message)</span>
+</code></dt>
+<dd>
+<div class="desc"><p>Encipher a message.</p></div>
+<details class="source">
+<summary>
+<span>Expand source code</span>
+</summary>
+<pre><code class="python">def encipher(self, message):
+ """Encipher a message."""
+ enciphered = ''
+ for letter in sanitise(message):
+ enciphered += self.encipher_letter(letter)
+ return enciphered</code></pre>
+</details>
+</dd>
+<dt id="szyfrow.enigma.Enigma.encipher"><code class="name flex">
+<span>def <span class="ident">encipher</span></span>(<span>self, message)</span>
+</code></dt>
+<dd>
+<div class="desc"><p>Encipher a message.</p></div>
+<details class="source">
+<summary>
+<span>Expand source code</span>
+</summary>
+<pre><code class="python">def encipher(self, message):
+ """Encipher a message."""
+ enciphered = ''
+ for letter in sanitise(message):
+ enciphered += self.encipher_letter(letter)
+ return enciphered</code></pre>
+</details>
+</dd>
+<dt id="szyfrow.enigma.Enigma.encipher_letter"><code class="name flex">
+<span>def <span class="ident">encipher_letter</span></span>(<span>self, letter)</span>
+</code></dt>
+<dd>
+<div class="desc"><p>Encipher a letter. Advance the Enigma machine, then lookup the
+encryption of a letter.</p></div>
+<details class="source">
+<summary>
+<span>Expand source code</span>
+</summary>
+<pre><code class="python">def encipher_letter(self, letter):
+ """Encipher a letter. Advance the Enigma machine, then lookup the
+ encryption of a letter.
+ """
+ self.advance()
+ return self.lookup(letter)</code></pre>
+</details>
+</dd>
+<dt id="szyfrow.enigma.Enigma.lookup"><code class="name flex">
+<span>def <span class="ident">lookup</span></span>(<span>self, letter)</span>
+</code></dt>
+<dd>
+<div class="desc"><p>Lookup the enciphering of a letter, without advancing any wheels</p></div>
+<details class="source">
+<summary>
+<span>Expand source code</span>
+</summary>
+<pre><code class="python">def lookup(self, letter):
+ """Lookup the enciphering of a letter, without advancing any wheels
+ """
+ a = self.plugboard.forward(letter)
+ b = self.right_wheel.forward(a)
+ c = self.middle_wheel.forward(b)
+ d = self.left_wheel.forward(c)
+ e = self.reflector.forward(d)
+ f = self.left_wheel.backward(e)
+ g = self.middle_wheel.backward(f)
+ h = self.right_wheel.backward(g)
+ i = self.plugboard.backward(h)
+ return i</code></pre>
+</details>
+</dd>
+<dt id="szyfrow.enigma.Enigma.set_wheels"><code class="name flex">
+<span>def <span class="ident">set_wheels</span></span>(<span>self, left_wheel_position, middle_wheel_position, right_wheel_position)</span>
+</code></dt>
+<dd>
+<div class="desc"><p>Set the Enigma's wheels to the specified positions.</p></div>
+<details class="source">
+<summary>
+<span>Expand source code</span>
+</summary>
+<pre><code class="python">def set_wheels(self, left_wheel_position, middle_wheel_position,
+ right_wheel_position):
+ """Set the Enigma's wheels to the specified positions.
+ """
+ self.left_wheel.set_position(left_wheel_position)
+ self.middle_wheel.set_position(middle_wheel_position)
+ self.right_wheel.set_position(right_wheel_position)</code></pre>
+</details>
+</dd>
+</dl>
+</dd>
+<dt id="szyfrow.enigma.LetterTransformer"><code class="flex name class">
+<span>class <span class="ident">LetterTransformer</span></span>
+<span>(</span><span>specification, raw_transform=False)</span>
+</code></dt>
+<dd>
+<div class="desc"><p>A generic substitution cipher, that has different transforms in the
+forward and backward directions. It requires that the transforms for all
+letters by provided.</p>
+<p>A <code>transform</code> is a list of letter pairs, like <code>[('a', 'b'), ('c', 'd')]</code>.
+That would say that, in the forward direction <code>a</code> goes to <code>b</code> and
+<code>c</code> goes to <code>d</code>. In the backward direction, <code>b</code> goes to <code>a</code> and <code>d</code> goes
+to <code>c</code>. </p>
+<p>Validate and create a new transformer. The transform is parsed by
+<code><a title="szyfrow.enigma.LetterTransformer.parse_specification" href="#szyfrow.enigma.LetterTransformer.parse_specification">LetterTransformer.parse_specification()</a></code> unless <code>raw_transform</code> is <code>True</code></p></div>
+<details class="source">
+<summary>
+<span>Expand source code</span>
+</summary>
+<pre><code class="python">class LetterTransformer(object):
+ """A generic substitution cipher, that has different transforms in the
+ forward and backward directions. It requires that the transforms for all
+ letters by provided.
+
+ A `transform` is a list of letter pairs, like `[('a', 'b'), ('c', 'd')]`.
+ That would say that, in the forward direction `a` goes to `b` and
+ `c` goes to `d`. In the backward direction, `b` goes to `a` and `d` goes
+ to `c`.
+ """
+ def __init__(self, specification, raw_transform=False):
+ """Validate and create a new transformer. The transform is parsed by
+ `LetterTransformer.parse_specification` unless `raw_transform` is `True`
+ """
+ if raw_transform:
+ transform = specification
+ else:
+ transform = self.parse_specification(specification)
+ self.validate_transform(transform)
+ self.make_transform_map(transform)
+
+ def parse_specification(self, specification):
+ """Turn a `specification` string into a transform, by zipping it
+ with ASCII lowercase letters to generate the pairs. This assumes that
+ the `specification` defines the destination of the forward transform.
+ """
+ return list(zip(string.ascii_lowercase, sanitise(specification)))
+ # return specification
+
+ def validate_transform(self, transform):
+ """Checks that a transform is valid (every letter is mapped to
+ exactly one other letter, in both directions).
+ """
+ if len(transform) != 26:
+ raise ValueError("Transform specification has {} pairs, requires 26".
+ format(len(transform)))
+ for p in transform:
+ if len(p) != 2:
+ raise ValueError("Not all mappings in transform "
+ "have two elements")
+ if len(set([p[0] for p in transform])) != 26:
+ raise ValueError("Transform specification must list 26 origin letters")
+ if len(set([p[1] for p in transform])) != 26:
+ raise ValueError("Transform specification must list 26 destination letters")
+
+ def make_empty_transform(self):
+ """An empty transform is one that maps every letter to 'a'.
+ """
+ self.forward_map = [0] * 26
+ self.backward_map = [0] * 26
+
+ def make_transform_map(self, transform):
+ """Create `forward_map` and `backward_map` from `transform`. The maps
+ work on letter positions, not letter values. This makes the arithmetic
+ for wheels much easier.
+ """
+ self.make_empty_transform()
+ for p in transform:
+ self.forward_map[pos(p[0])] = pos(p[1])
+ self.backward_map[pos(p[1])] = pos(p[0])
+ return self.forward_map, self.backward_map
+
+ def forward(self, letter):
+ """Apply a map in the forward direction.
+ """
+ if letter in string.ascii_lowercase:
+ return unpos(self.forward_map[pos(letter)])
+ else:
+ return ''
+
+ def backward(self, letter):
+ """Apply a map in the backward direction.
+ """
+ if letter in string.ascii_lowercase:
+ return unpos(self.backward_map[pos(letter)])
+ else:
+ return ''</code></pre>
+</details>
+<h3>Subclasses</h3>
+<ul class="hlist">
+<li><a title="szyfrow.enigma.Plugboard" href="#szyfrow.enigma.Plugboard">Plugboard</a></li>
+<li><a title="szyfrow.enigma.SimpleWheel" href="#szyfrow.enigma.SimpleWheel">SimpleWheel</a></li>
+</ul>
+<h3>Methods</h3>
+<dl>
+<dt id="szyfrow.enigma.LetterTransformer.backward"><code class="name flex">
+<span>def <span class="ident">backward</span></span>(<span>self, letter)</span>
+</code></dt>
+<dd>
+<div class="desc"><p>Apply a map in the backward direction.</p></div>
+<details class="source">
+<summary>
+<span>Expand source code</span>
+</summary>
+<pre><code class="python">def backward(self, letter):
+ """Apply a map in the backward direction.
+ """
+ if letter in string.ascii_lowercase:
+ return unpos(self.backward_map[pos(letter)])
+ else:
+ return ''</code></pre>
+</details>
+</dd>
+<dt id="szyfrow.enigma.LetterTransformer.forward"><code class="name flex">
+<span>def <span class="ident">forward</span></span>(<span>self, letter)</span>
+</code></dt>
+<dd>
+<div class="desc"><p>Apply a map in the forward direction.</p></div>
+<details class="source">
+<summary>
+<span>Expand source code</span>
+</summary>
+<pre><code class="python">def forward(self, letter):
+ """Apply a map in the forward direction.
+ """
+ if letter in string.ascii_lowercase:
+ return unpos(self.forward_map[pos(letter)])
+ else:
+ return ''</code></pre>
+</details>
+</dd>
+<dt id="szyfrow.enigma.LetterTransformer.make_empty_transform"><code class="name flex">
+<span>def <span class="ident">make_empty_transform</span></span>(<span>self)</span>
+</code></dt>
+<dd>
+<div class="desc"><p>An empty transform is one that maps every letter to 'a'.</p></div>
+<details class="source">
+<summary>
+<span>Expand source code</span>
+</summary>
+<pre><code class="python">def make_empty_transform(self):
+ """An empty transform is one that maps every letter to 'a'.
+ """
+ self.forward_map = [0] * 26
+ self.backward_map = [0] * 26</code></pre>
+</details>
+</dd>
+<dt id="szyfrow.enigma.LetterTransformer.make_transform_map"><code class="name flex">
+<span>def <span class="ident">make_transform_map</span></span>(<span>self, transform)</span>
+</code></dt>
+<dd>
+<div class="desc"><p>Create <code>forward_map</code> and <code>backward_map</code> from <code>transform</code>. The maps
+work on letter positions, not letter values. This makes the arithmetic
+for wheels much easier.</p></div>
+<details class="source">
+<summary>
+<span>Expand source code</span>
+</summary>
+<pre><code class="python">def make_transform_map(self, transform):
+ """Create `forward_map` and `backward_map` from `transform`. The maps
+ work on letter positions, not letter values. This makes the arithmetic
+ for wheels much easier.
+ """
+ self.make_empty_transform()
+ for p in transform:
+ self.forward_map[pos(p[0])] = pos(p[1])
+ self.backward_map[pos(p[1])] = pos(p[0])
+ return self.forward_map, self.backward_map</code></pre>
+</details>
+</dd>
+<dt id="szyfrow.enigma.LetterTransformer.parse_specification"><code class="name flex">
+<span>def <span class="ident">parse_specification</span></span>(<span>self, specification)</span>
+</code></dt>
+<dd>
+<div class="desc"><p>Turn a <code>specification</code> string into a transform, by zipping it
+with ASCII lowercase letters to generate the pairs. This assumes that
+the <code>specification</code> defines the destination of the forward transform.</p></div>
+<details class="source">
+<summary>
+<span>Expand source code</span>
+</summary>
+<pre><code class="python">def parse_specification(self, specification):
+ """Turn a `specification` string into a transform, by zipping it
+ with ASCII lowercase letters to generate the pairs. This assumes that
+ the `specification` defines the destination of the forward transform.
+ """
+ return list(zip(string.ascii_lowercase, sanitise(specification)))
+ # return specification</code></pre>
+</details>
+</dd>
+<dt id="szyfrow.enigma.LetterTransformer.validate_transform"><code class="name flex">
+<span>def <span class="ident">validate_transform</span></span>(<span>self, transform)</span>
+</code></dt>
+<dd>
+<div class="desc"><p>Checks that a transform is valid (every letter is mapped to
+exactly one other letter, in both directions).</p></div>
+<details class="source">
+<summary>
+<span>Expand source code</span>
+</summary>
+<pre><code class="python">def validate_transform(self, transform):
+ """Checks that a transform is valid (every letter is mapped to
+ exactly one other letter, in both directions).
+ """
+ if len(transform) != 26:
+ raise ValueError("Transform specification has {} pairs, requires 26".
+ format(len(transform)))
+ for p in transform:
+ if len(p) != 2:
+ raise ValueError("Not all mappings in transform "
+ "have two elements")
+ if len(set([p[0] for p in transform])) != 26:
+ raise ValueError("Transform specification must list 26 origin letters")
+ if len(set([p[1] for p in transform])) != 26:
+ raise ValueError("Transform specification must list 26 destination letters") </code></pre>
+</details>
+</dd>
+</dl>
+</dd>
+<dt id="szyfrow.enigma.Plugboard"><code class="flex name class">
+<span>class <span class="ident">Plugboard</span></span>
+<span>(</span><span>specification, raw_transform=False)</span>
+</code></dt>
+<dd>
+<div class="desc"><p>A plugboard, a type of letter transformer where forward and backward
+transforms are the same. If a letter isn't explicitly transformed, it is
+kept as it is.</p>
+<p>Validate and create a new transformer. The transform is parsed by
+<code><a title="szyfrow.enigma.LetterTransformer.parse_specification" href="#szyfrow.enigma.LetterTransformer.parse_specification">LetterTransformer.parse_specification()</a></code> unless <code>raw_transform</code> is <code>True</code></p></div>
+<details class="source">
+<summary>
+<span>Expand source code</span>
+</summary>
+<pre><code class="python">class Plugboard(LetterTransformer):
+ """A plugboard, a type of letter transformer where forward and backward
+ transforms are the same. If a letter isn't explicitly transformed, it is
+ kept as it is.
+ """
+
+ def parse_specification(self, specification):
+ """Convert a specification into a transform. The specification is
+ given as a list of letter pairs.
+ """
+ return [tuple(sanitise(p)) for p in specification.split()]
+
+ def validate_transform(self, transform):
+ """A set of pairs, of from-to. Does not require all 26 letters
+ are in the transform.
+ """
+ for p in transform:
+ if len(p) != 2:
+ raise ValueError("Not all mappings in transform"
+ "have two elements")
+
+ def make_empty_transform(self):
+ """An empty transform maps every letter to itself.
+ """
+ self.forward_map = list(range(26))
+ self.backward_map = list(range(26))
+
+ def make_transform_map(self, transform):
+ """Makes the maps for a plugboard. Ensures that if the pair ('a', 'b')
+ is in the specification, the pair ('b', 'a') is also present.
+ """
+ expanded_transform = transform + [tuple(reversed(p)) for p in transform]
+ return super(Plugboard, self).make_transform_map(expanded_transform)</code></pre>
+</details>
+<h3>Ancestors</h3>
+<ul class="hlist">
+<li><a title="szyfrow.enigma.LetterTransformer" href="#szyfrow.enigma.LetterTransformer">LetterTransformer</a></li>
+</ul>
+<h3>Subclasses</h3>
+<ul class="hlist">
+<li><a title="szyfrow.enigma.Reflector" href="#szyfrow.enigma.Reflector">Reflector</a></li>
+</ul>
+<h3>Methods</h3>
+<dl>
+<dt id="szyfrow.enigma.Plugboard.make_empty_transform"><code class="name flex">
+<span>def <span class="ident">make_empty_transform</span></span>(<span>self)</span>
+</code></dt>
+<dd>
+<div class="desc"><p>An empty transform maps every letter to itself.</p></div>
+<details class="source">
+<summary>
+<span>Expand source code</span>
+</summary>
+<pre><code class="python">def make_empty_transform(self):
+ """An empty transform maps every letter to itself.
+ """
+ self.forward_map = list(range(26))
+ self.backward_map = list(range(26))</code></pre>
+</details>
+</dd>
+<dt id="szyfrow.enigma.Plugboard.make_transform_map"><code class="name flex">
+<span>def <span class="ident">make_transform_map</span></span>(<span>self, transform)</span>
+</code></dt>
+<dd>
+<div class="desc"><p>Makes the maps for a plugboard. Ensures that if the pair ('a', 'b')
+is in the specification, the pair ('b', 'a') is also present.</p></div>
+<details class="source">
+<summary>
+<span>Expand source code</span>
+</summary>
+<pre><code class="python">def make_transform_map(self, transform):
+ """Makes the maps for a plugboard. Ensures that if the pair ('a', 'b')
+ is in the specification, the pair ('b', 'a') is also present.
+ """
+ expanded_transform = transform + [tuple(reversed(p)) for p in transform]
+ return super(Plugboard, self).make_transform_map(expanded_transform)</code></pre>
+</details>
+</dd>
+<dt id="szyfrow.enigma.Plugboard.parse_specification"><code class="name flex">
+<span>def <span class="ident">parse_specification</span></span>(<span>self, specification)</span>
+</code></dt>
+<dd>
+<div class="desc"><p>Convert a specification into a transform. The specification is
+given as a list of letter pairs.</p></div>
+<details class="source">
+<summary>
+<span>Expand source code</span>
+</summary>
+<pre><code class="python">def parse_specification(self, specification):
+ """Convert a specification into a transform. The specification is
+ given as a list of letter pairs.
+ """
+ return [tuple(sanitise(p)) for p in specification.split()]</code></pre>
+</details>
+</dd>
+<dt id="szyfrow.enigma.Plugboard.validate_transform"><code class="name flex">
+<span>def <span class="ident">validate_transform</span></span>(<span>self, transform)</span>
+</code></dt>
+<dd>
+<div class="desc"><p>A set of pairs, of from-to. Does not require all 26 letters
+are in the transform.</p></div>
+<details class="source">
+<summary>
+<span>Expand source code</span>
+</summary>
+<pre><code class="python">def validate_transform(self, transform):
+ """A set of pairs, of from-to. Does not require all 26 letters
+ are in the transform.
+ """
+ for p in transform:
+ if len(p) != 2:
+ raise ValueError("Not all mappings in transform"
+ "have two elements")</code></pre>
+</details>
+</dd>
+</dl>
+<h3>Inherited members</h3>
+<ul class="hlist">
+<li><code><b><a title="szyfrow.enigma.LetterTransformer" href="#szyfrow.enigma.LetterTransformer">LetterTransformer</a></b></code>:
+<ul class="hlist">
+<li><code><a title="szyfrow.enigma.LetterTransformer.backward" href="#szyfrow.enigma.LetterTransformer.backward">backward</a></code></li>
+<li><code><a title="szyfrow.enigma.LetterTransformer.forward" href="#szyfrow.enigma.LetterTransformer.forward">forward</a></code></li>
+</ul>
+</li>
+</ul>
+</dd>
+<dt id="szyfrow.enigma.Reflector"><code class="flex name class">
+<span>class <span class="ident">Reflector</span></span>
+<span>(</span><span>specification, raw_transform=False)</span>
+</code></dt>
+<dd>
+<div class="desc"><p>A reflector is a plugboard that requires 13 transforms.
+The 'plugboard' superclass ensures that all 13 transforms are also applied
+in reverse, making 26 transforms in all.</p>
+<p>Validate and create a new transformer. The transform is parsed by
+<code><a title="szyfrow.enigma.LetterTransformer.parse_specification" href="#szyfrow.enigma.LetterTransformer.parse_specification">LetterTransformer.parse_specification()</a></code> unless <code>raw_transform</code> is <code>True</code></p></div>
+<details class="source">
+<summary>
+<span>Expand source code</span>
+</summary>
+<pre><code class="python">class Reflector(Plugboard):
+ """A reflector is a plugboard that requires 13 transforms.
+ The 'plugboard' superclass ensures that all 13 transforms are also applied
+ in reverse, making 26 transforms in all.
+ """
+ def validate_transform(self, transform):
+ if len(transform) != 13:
+ raise ValueError("Reflector specification has {} pairs, requires 13".
+ format(len(transform)))
+ if len(set([p[0] for p in transform] +
+ [p[1] for p in transform])) != 26:
+ raise ValueError("Reflector specification does not contain 26 letters")
+ try:
+ super(Reflector, self).validate_transform(transform)
+ except ValueError as v:
+ raise ValueError("Not all mappings in reflector have two elements")</code></pre>
+</details>
+<h3>Ancestors</h3>
+<ul class="hlist">
+<li><a title="szyfrow.enigma.Plugboard" href="#szyfrow.enigma.Plugboard">Plugboard</a></li>
+<li><a title="szyfrow.enigma.LetterTransformer" href="#szyfrow.enigma.LetterTransformer">LetterTransformer</a></li>
+</ul>
+<h3>Inherited members</h3>
+<ul class="hlist">
+<li><code><b><a title="szyfrow.enigma.Plugboard" href="#szyfrow.enigma.Plugboard">Plugboard</a></b></code>:
+<ul class="hlist">
+<li><code><a title="szyfrow.enigma.Plugboard.backward" href="#szyfrow.enigma.LetterTransformer.backward">backward</a></code></li>
+<li><code><a title="szyfrow.enigma.Plugboard.forward" href="#szyfrow.enigma.LetterTransformer.forward">forward</a></code></li>
+<li><code><a title="szyfrow.enigma.Plugboard.make_empty_transform" href="#szyfrow.enigma.Plugboard.make_empty_transform">make_empty_transform</a></code></li>
+<li><code><a title="szyfrow.enigma.Plugboard.make_transform_map" href="#szyfrow.enigma.Plugboard.make_transform_map">make_transform_map</a></code></li>
+<li><code><a title="szyfrow.enigma.Plugboard.parse_specification" href="#szyfrow.enigma.Plugboard.parse_specification">parse_specification</a></code></li>
+<li><code><a title="szyfrow.enigma.Plugboard.validate_transform" href="#szyfrow.enigma.Plugboard.validate_transform">validate_transform</a></code></li>
+</ul>
+</li>
+</ul>
+</dd>
+<dt id="szyfrow.enigma.SimpleWheel"><code class="flex name class">
+<span>class <span class="ident">SimpleWheel</span></span>
+<span>(</span><span>transform, position='a', raw_transform=False)</span>
+</code></dt>
+<dd>
+<div class="desc"><p>A wheel is a transform that rotates.</p>
+<p>Looking from the right, letters go in sequence a-b-c clockwise around the
+wheel. </p>
+<p>The position of the wheel is the number of spaces anticlockwise the wheel
+has turned.</p>
+<p>Letter inputs and outputs are given relative to the frame holding the wheel,
+so if the wheel is advanced three places, an input of 'p' will enter the
+wheel on the position under the wheel's 's' label.</p>
+<p>Validate and create a new transformer. The transform is parsed by
+<code><a title="szyfrow.enigma.LetterTransformer.parse_specification" href="#szyfrow.enigma.LetterTransformer.parse_specification">LetterTransformer.parse_specification()</a></code> unless <code>raw_transform</code> is <code>True</code></p></div>
+<details class="source">
+<summary>
+<span>Expand source code</span>
+</summary>
+<pre><code class="python">class SimpleWheel(LetterTransformer):
+ """A wheel is a transform that rotates.
+
+ Looking from the right, letters go in sequence a-b-c clockwise around the
+ wheel.
+
+ The position of the wheel is the number of spaces anticlockwise the wheel
+ has turned.
+
+ Letter inputs and outputs are given relative to the frame holding the wheel,
+ so if the wheel is advanced three places, an input of 'p' will enter the
+ wheel on the position under the wheel's 's' label.
+ """
+ def __init__(self, transform, position='a', raw_transform=False):
+ super(SimpleWheel, self).__init__(transform, raw_transform)
+ self.set_position(position)
+
+ def __getattribute__(self,name):
+ if name=='position_l':
+ return unpos(self.position)
+ else:
+ return object.__getattribute__(self, name)
+
+ def set_position(self, position):
+ """Sets a wheel's position. If the `position` is a string, convert it
+ to a number and set the position.
+ """
+ if isinstance(position, str):
+ self.position = pos(position)
+ else:
+ self.position = position
+
+ def forward(self, letter):
+ """Give the transformed letter in the forward direction, accounting
+ for the position of the wheel.
+ """
+ if letter in string.ascii_lowercase:
+ return unpos((self.forward_map[(pos(letter) + self.position) % 26] - self.position))
+ else:
+ return ''
+
+ def backward(self, letter):
+ """Give the transformed letter in the backward direction, accounting
+ for the position of the wheel.
+ """
+ if letter in string.ascii_lowercase:
+ return unpos((self.backward_map[(pos(letter) + self.position) % 26] - self.position))
+ else:
+ return ''
+
+ def advance(self):
+ """Advance a wheel one position."""
+ self.position = (self.position + 1) % 26</code></pre>
+</details>
+<h3>Ancestors</h3>
+<ul class="hlist">
+<li><a title="szyfrow.enigma.LetterTransformer" href="#szyfrow.enigma.LetterTransformer">LetterTransformer</a></li>
+</ul>
+<h3>Subclasses</h3>
+<ul class="hlist">
+<li><a title="szyfrow.enigma.Wheel" href="#szyfrow.enigma.Wheel">Wheel</a></li>
+</ul>
+<h3>Methods</h3>
+<dl>
+<dt id="szyfrow.enigma.SimpleWheel.advance"><code class="name flex">
+<span>def <span class="ident">advance</span></span>(<span>self)</span>
+</code></dt>
+<dd>
+<div class="desc"><p>Advance a wheel one position.</p></div>
+<details class="source">
+<summary>
+<span>Expand source code</span>
+</summary>
+<pre><code class="python">def advance(self):
+ """Advance a wheel one position."""
+ self.position = (self.position + 1) % 26</code></pre>
+</details>
+</dd>
+<dt id="szyfrow.enigma.SimpleWheel.backward"><code class="name flex">
+<span>def <span class="ident">backward</span></span>(<span>self, letter)</span>
+</code></dt>
+<dd>
+<div class="desc"><p>Give the transformed letter in the backward direction, accounting
+for the position of the wheel.</p></div>
+<details class="source">
+<summary>
+<span>Expand source code</span>
+</summary>
+<pre><code class="python">def backward(self, letter):
+ """Give the transformed letter in the backward direction, accounting
+ for the position of the wheel.
+ """
+ if letter in string.ascii_lowercase:
+ return unpos((self.backward_map[(pos(letter) + self.position) % 26] - self.position))
+ else:
+ return ''</code></pre>
+</details>
+</dd>
+<dt id="szyfrow.enigma.SimpleWheel.forward"><code class="name flex">
+<span>def <span class="ident">forward</span></span>(<span>self, letter)</span>
+</code></dt>
+<dd>
+<div class="desc"><p>Give the transformed letter in the forward direction, accounting
+for the position of the wheel.</p></div>
+<details class="source">
+<summary>
+<span>Expand source code</span>
+</summary>
+<pre><code class="python">def forward(self, letter):
+ """Give the transformed letter in the forward direction, accounting
+ for the position of the wheel.
+ """
+ if letter in string.ascii_lowercase:
+ return unpos((self.forward_map[(pos(letter) + self.position) % 26] - self.position))
+ else:
+ return ''</code></pre>
+</details>
+</dd>
+<dt id="szyfrow.enigma.SimpleWheel.set_position"><code class="name flex">
+<span>def <span class="ident">set_position</span></span>(<span>self, position)</span>
+</code></dt>
+<dd>
+<div class="desc"><p>Sets a wheel's position. If the <code>position</code> is a string, convert it
+to a number and set the position.</p></div>
+<details class="source">
+<summary>
+<span>Expand source code</span>
+</summary>
+<pre><code class="python">def set_position(self, position):
+ """Sets a wheel's position. If the `position` is a string, convert it
+ to a number and set the position.
+ """
+ if isinstance(position, str):
+ self.position = pos(position)
+ else:
+ self.position = position</code></pre>
+</details>
+</dd>
+</dl>
+<h3>Inherited members</h3>
+<ul class="hlist">
+<li><code><b><a title="szyfrow.enigma.LetterTransformer" href="#szyfrow.enigma.LetterTransformer">LetterTransformer</a></b></code>:
+<ul class="hlist">
+<li><code><a title="szyfrow.enigma.LetterTransformer.make_empty_transform" href="#szyfrow.enigma.LetterTransformer.make_empty_transform">make_empty_transform</a></code></li>
+<li><code><a title="szyfrow.enigma.LetterTransformer.make_transform_map" href="#szyfrow.enigma.LetterTransformer.make_transform_map">make_transform_map</a></code></li>
+<li><code><a title="szyfrow.enigma.LetterTransformer.parse_specification" href="#szyfrow.enigma.LetterTransformer.parse_specification">parse_specification</a></code></li>
+<li><code><a title="szyfrow.enigma.LetterTransformer.validate_transform" href="#szyfrow.enigma.LetterTransformer.validate_transform">validate_transform</a></code></li>
+</ul>
+</li>
+</ul>
+</dd>
+<dt id="szyfrow.enigma.Wheel"><code class="flex name class">
+<span>class <span class="ident">Wheel</span></span>
+<span>(</span><span>transform, ring_notch_letters, ring_setting=1, position='a', raw_transform=False)</span>
+</code></dt>
+<dd>
+<div class="desc"><p>A wheel with a movable ring.</p>
+<p>The ring holds the letters and the notches that turn other wheels. The core
+holds the wiring that does the transformation.</p>
+<p>The ring position is how many steps the core is turned relative to the ring.
+This is one-based, so a ring setting of 1 means the core and ring are
+aligned.</p>
+<p>The position of the wheel is the position of the core (the transforms)
+relative to the neutral position. </p>
+<p>The position_l is the position of the ring, or what would be observed
+by the user of the Enigma machine. </p>
+<p>The notch_positions are the number of advances of this wheel before it will
+advance the next wheel.</p>
+<p>Validate and create a new transformer. The transform is parsed by
+<code><a title="szyfrow.enigma.LetterTransformer.parse_specification" href="#szyfrow.enigma.LetterTransformer.parse_specification">LetterTransformer.parse_specification()</a></code> unless <code>raw_transform</code> is <code>True</code></p></div>
+<details class="source">
+<summary>
+<span>Expand source code</span>
+</summary>
+<pre><code class="python">class Wheel(SimpleWheel):
+ """A wheel with a movable ring.
+
+ The ring holds the letters and the notches that turn other wheels. The core
+ holds the wiring that does the transformation.
+
+ The ring position is how many steps the core is turned relative to the ring.
+ This is one-based, so a ring setting of 1 means the core and ring are
+ aligned.
+
+ The position of the wheel is the position of the core (the transforms)
+ relative to the neutral position.
+
+ The position_l is the position of the ring, or what would be observed
+ by the user of the Enigma machine.
+
+ The notch_positions are the number of advances of this wheel before it will
+ advance the next wheel.
+ """
+ def __init__(self, transform, ring_notch_letters, ring_setting=1,
+ position='a', raw_transform=False):
+ self.ring_notch_letters = ring_notch_letters
+ self.ring_setting = ring_setting
+ super(Wheel, self).__init__(transform, position=position,
+ raw_transform=raw_transform)
+ self.set_position(position)
+
+ def __getattribute__(self,name):
+ if name=='position_l':
+ return unpos(self.position + self.ring_setting - 1)
+ else:
+ return object.__getattribute__(self, name)
+
+ def set_position(self, position):
+ if isinstance(position, str):
+ self.position = (pos(position) - self.ring_setting + 1) % 26
+ else:
+ self.position = (position - self.ring_setting) % 26
+ # # self.notch_positions = [(pos(p) - pos(position)) % 26 for p in self.ring_notch_letters]
+ # self.notch_positions = [(pos(p) - (self.position + self.ring_setting - 1)) % 26 for p in self.ring_notch_letters]
+ self.notch_positions = [(self.position + self.ring_setting - 1 - pos(p)) % 26 for p in self.ring_notch_letters]
+
+ def advance(self):
+ """Advance a wheel's core, then advance the ring position to match.
+ """
+ super(Wheel, self).advance()
+ self.notch_positions = [(p + 1) % 26 for p in self.notch_positions]
+ return self.position</code></pre>
+</details>
+<h3>Ancestors</h3>
+<ul class="hlist">
+<li><a title="szyfrow.enigma.SimpleWheel" href="#szyfrow.enigma.SimpleWheel">SimpleWheel</a></li>
+<li><a title="szyfrow.enigma.LetterTransformer" href="#szyfrow.enigma.LetterTransformer">LetterTransformer</a></li>
+</ul>
+<h3>Methods</h3>
+<dl>
+<dt id="szyfrow.enigma.Wheel.advance"><code class="name flex">
+<span>def <span class="ident">advance</span></span>(<span>self)</span>
+</code></dt>
+<dd>
+<div class="desc"><p>Advance a wheel's core, then advance the ring position to match.</p></div>
+<details class="source">
+<summary>
+<span>Expand source code</span>
+</summary>
+<pre><code class="python">def advance(self):
+ """Advance a wheel's core, then advance the ring position to match.
+ """
+ super(Wheel, self).advance()
+ self.notch_positions = [(p + 1) % 26 for p in self.notch_positions]
+ return self.position</code></pre>
+</details>
+</dd>
+</dl>
+<h3>Inherited members</h3>
+<ul class="hlist">
+<li><code><b><a title="szyfrow.enigma.SimpleWheel" href="#szyfrow.enigma.SimpleWheel">SimpleWheel</a></b></code>:
+<ul class="hlist">
+<li><code><a title="szyfrow.enigma.SimpleWheel.backward" href="#szyfrow.enigma.SimpleWheel.backward">backward</a></code></li>
+<li><code><a title="szyfrow.enigma.SimpleWheel.forward" href="#szyfrow.enigma.SimpleWheel.forward">forward</a></code></li>
+<li><code><a title="szyfrow.enigma.SimpleWheel.make_empty_transform" href="#szyfrow.enigma.LetterTransformer.make_empty_transform">make_empty_transform</a></code></li>
+<li><code><a title="szyfrow.enigma.SimpleWheel.make_transform_map" href="#szyfrow.enigma.LetterTransformer.make_transform_map">make_transform_map</a></code></li>
+<li><code><a title="szyfrow.enigma.SimpleWheel.parse_specification" href="#szyfrow.enigma.LetterTransformer.parse_specification">parse_specification</a></code></li>
+<li><code><a title="szyfrow.enigma.SimpleWheel.set_position" href="#szyfrow.enigma.SimpleWheel.set_position">set_position</a></code></li>
+<li><code><a title="szyfrow.enigma.SimpleWheel.validate_transform" href="#szyfrow.enigma.LetterTransformer.validate_transform">validate_transform</a></code></li>
+</ul>
+</li>
+</ul>
+</dd>
+</dl>
+</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.enigma.cat" href="#szyfrow.enigma.cat">cat</a></code></li>
+<li><code><a title="szyfrow.enigma.lcat" href="#szyfrow.enigma.lcat">lcat</a></code></li>
+<li><code><a title="szyfrow.enigma.wcat" href="#szyfrow.enigma.wcat">wcat</a></code></li>
+</ul>
+</li>
+<li><h3><a href="#header-classes">Classes</a></h3>
+<ul>
+<li>
+<h4><code><a title="szyfrow.enigma.Enigma" href="#szyfrow.enigma.Enigma">Enigma</a></code></h4>
+<ul class="two-column">
+<li><code><a title="szyfrow.enigma.Enigma.advance" href="#szyfrow.enigma.Enigma.advance">advance</a></code></li>
+<li><code><a title="szyfrow.enigma.Enigma.decipher" href="#szyfrow.enigma.Enigma.decipher">decipher</a></code></li>
+<li><code><a title="szyfrow.enigma.Enigma.encipher" href="#szyfrow.enigma.Enigma.encipher">encipher</a></code></li>
+<li><code><a title="szyfrow.enigma.Enigma.encipher_letter" href="#szyfrow.enigma.Enigma.encipher_letter">encipher_letter</a></code></li>
+<li><code><a title="szyfrow.enigma.Enigma.lookup" href="#szyfrow.enigma.Enigma.lookup">lookup</a></code></li>
+<li><code><a title="szyfrow.enigma.Enigma.set_wheels" href="#szyfrow.enigma.Enigma.set_wheels">set_wheels</a></code></li>
+</ul>
+</li>
+<li>
+<h4><code><a title="szyfrow.enigma.LetterTransformer" href="#szyfrow.enigma.LetterTransformer">LetterTransformer</a></code></h4>
+<ul class="">
+<li><code><a title="szyfrow.enigma.LetterTransformer.backward" href="#szyfrow.enigma.LetterTransformer.backward">backward</a></code></li>
+<li><code><a title="szyfrow.enigma.LetterTransformer.forward" href="#szyfrow.enigma.LetterTransformer.forward">forward</a></code></li>
+<li><code><a title="szyfrow.enigma.LetterTransformer.make_empty_transform" href="#szyfrow.enigma.LetterTransformer.make_empty_transform">make_empty_transform</a></code></li>
+<li><code><a title="szyfrow.enigma.LetterTransformer.make_transform_map" href="#szyfrow.enigma.LetterTransformer.make_transform_map">make_transform_map</a></code></li>
+<li><code><a title="szyfrow.enigma.LetterTransformer.parse_specification" href="#szyfrow.enigma.LetterTransformer.parse_specification">parse_specification</a></code></li>
+<li><code><a title="szyfrow.enigma.LetterTransformer.validate_transform" href="#szyfrow.enigma.LetterTransformer.validate_transform">validate_transform</a></code></li>
+</ul>
+</li>
+<li>
+<h4><code><a title="szyfrow.enigma.Plugboard" href="#szyfrow.enigma.Plugboard">Plugboard</a></code></h4>
+<ul class="">
+<li><code><a title="szyfrow.enigma.Plugboard.make_empty_transform" href="#szyfrow.enigma.Plugboard.make_empty_transform">make_empty_transform</a></code></li>
+<li><code><a title="szyfrow.enigma.Plugboard.make_transform_map" href="#szyfrow.enigma.Plugboard.make_transform_map">make_transform_map</a></code></li>
+<li><code><a title="szyfrow.enigma.Plugboard.parse_specification" href="#szyfrow.enigma.Plugboard.parse_specification">parse_specification</a></code></li>
+<li><code><a title="szyfrow.enigma.Plugboard.validate_transform" href="#szyfrow.enigma.Plugboard.validate_transform">validate_transform</a></code></li>
+</ul>
+</li>
+<li>
+<h4><code><a title="szyfrow.enigma.Reflector" href="#szyfrow.enigma.Reflector">Reflector</a></code></h4>
+</li>
+<li>
+<h4><code><a title="szyfrow.enigma.SimpleWheel" href="#szyfrow.enigma.SimpleWheel">SimpleWheel</a></code></h4>
+<ul class="">
+<li><code><a title="szyfrow.enigma.SimpleWheel.advance" href="#szyfrow.enigma.SimpleWheel.advance">advance</a></code></li>
+<li><code><a title="szyfrow.enigma.SimpleWheel.backward" href="#szyfrow.enigma.SimpleWheel.backward">backward</a></code></li>
+<li><code><a title="szyfrow.enigma.SimpleWheel.forward" href="#szyfrow.enigma.SimpleWheel.forward">forward</a></code></li>
+<li><code><a title="szyfrow.enigma.SimpleWheel.set_position" href="#szyfrow.enigma.SimpleWheel.set_position">set_position</a></code></li>
+</ul>
+</li>
+<li>
+<h4><code><a title="szyfrow.enigma.Wheel" href="#szyfrow.enigma.Wheel">Wheel</a></code></h4>
+<ul class="">
+<li><code><a title="szyfrow.enigma.Wheel.advance" href="#szyfrow.enigma.Wheel.advance">advance</a></code></li>
+</ul>
+</li>
+</ul>
+</li>
+</ul>
+</nav>
+</main>
+<footer id="footer">
+<p>Generated by <a href="https://pdoc3.github.io/pdoc"><cite>pdoc</cite> 0.9.2</a>.</p>
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+<article id="content">
+<header>
+<h1 class="title">Module <code>szyfrow.hill</code></h1>
+</header>
+<section id="section-intro">
+<details class="source">
+<summary>
+<span>Expand source code</span>
+</summary>
+<pre><code class="python">import multiprocessing
+import numpy as np
+from numpy import matrix
+from numpy import linalg
+from szyfrow.support.utilities import *
+from szyfrow.support.language_models import *
+from szyfrow.affine import modular_division_table
+
+
+def hill_encipher(matrix, message_letters, fillvalue='a'):
+ """Hill cipher
+
+ >>> hill_encipher(np.matrix([[7,8], [11,11]]), 'hellothere')
+ 'drjiqzdrvx'
+ >>> hill_encipher(np.matrix([[6, 24, 1], [13, 16, 10], [20, 17, 15]]), \
+ 'hello there')
+ 'tfjflpznvyac'
+ """
+ n = len(matrix)
+ sanitised_message = sanitise(message_letters)
+ if len(sanitised_message) % n != 0:
+ padding = fillvalue[0] * (n - len(sanitised_message) % n)
+ else:
+ padding = ''
+ message = [pos(c) for c in sanitised_message + padding]
+ message_chunks = [message[i:i+n] for i in range(0, len(message), n)]
+ # message_chunks = chunks(message, len(matrix), fillvalue=None)
+ enciphered_chunks = [((matrix * np.matrix(c).T).T).tolist()[0]
+ for c in message_chunks]
+ return cat([unpos(round(l))
+ for l in sum(enciphered_chunks, [])])
+
+def hill_decipher(matrix, message, fillvalue='a'):
+ """Hill cipher
+
+ >>> hill_decipher(np.matrix([[7,8], [11,11]]), 'drjiqzdrvx')
+ 'hellothere'
+ >>> hill_decipher(np.matrix([[6, 24, 1], [13, 16, 10], [20, 17, 15]]), \
+ 'tfjflpznvyac')
+ 'hellothereaa'
+ """
+ adjoint = linalg.det(matrix)*linalg.inv(matrix)
+ inverse_determinant = modular_division_table[int(round(linalg.det(matrix))) % 26, 1]
+ inverse_matrix = (inverse_determinant * adjoint) % 26
+ return hill_encipher(inverse_matrix, message, fillvalue)
+
+def hill_break(message, matrix_size=2, fitness=Pletters,
+ number_of_solutions=1, chunksize=500):
+
+ all_matrices = [np.matrix(list(m))
+ for m in itertools.product([list(r)
+ for r in itertools.product(range(26), repeat=matrix_size)],
+ repeat=matrix_size)]
+ valid_matrices = [m for m, d in
+ zip(all_matrices, (int(round(linalg.det(m))) for m in all_matrices))
+ if d != 0
+ if d % 2 != 0
+ if d % 13 != 0 ]
+ with multiprocessing.Pool() as pool:
+ helper_args = [(message, matrix, fitness)
+ for matrix in valid_matrices]
+ # Gotcha: the helper function here needs to be defined at the top level
+ # (limitation of Pool.starmap)
+ breaks = pool.starmap(hill_break_worker, helper_args, chunksize)
+ if number_of_solutions == 1:
+ return max(breaks, key=lambda k: k[1])
+ else:
+ return sorted(breaks, key=lambda k: k[1], reverse=True)[:number_of_solutions]
+
+def hill_break_worker(message, matrix, fitness):
+ plaintext = hill_decipher(matrix, message)
+ fit = fitness(plaintext)
+ return matrix, fit
+
+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.hill.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.hill.hill_break"><code class="name flex">
+<span>def <span class="ident">hill_break</span></span>(<span>message, matrix_size=2, fitness=<function Pletters>, number_of_solutions=1, chunksize=500)</span>
+</code></dt>
+<dd>
+<div class="desc"></div>
+<details class="source">
+<summary>
+<span>Expand source code</span>
+</summary>
+<pre><code class="python">def hill_break(message, matrix_size=2, fitness=Pletters,
+ number_of_solutions=1, chunksize=500):
+
+ all_matrices = [np.matrix(list(m))
+ for m in itertools.product([list(r)
+ for r in itertools.product(range(26), repeat=matrix_size)],
+ repeat=matrix_size)]
+ valid_matrices = [m for m, d in
+ zip(all_matrices, (int(round(linalg.det(m))) for m in all_matrices))
+ if d != 0
+ if d % 2 != 0
+ if d % 13 != 0 ]
+ with multiprocessing.Pool() as pool:
+ helper_args = [(message, matrix, fitness)
+ for matrix in valid_matrices]
+ # Gotcha: the helper function here needs to be defined at the top level
+ # (limitation of Pool.starmap)
+ breaks = pool.starmap(hill_break_worker, helper_args, chunksize)
+ if number_of_solutions == 1:
+ return max(breaks, key=lambda k: k[1])
+ else:
+ return sorted(breaks, key=lambda k: k[1], reverse=True)[:number_of_solutions]</code></pre>
+</details>
+</dd>
+<dt id="szyfrow.hill.hill_break_worker"><code class="name flex">
+<span>def <span class="ident">hill_break_worker</span></span>(<span>message, matrix, fitness)</span>
+</code></dt>
+<dd>
+<div class="desc"></div>
+<details class="source">
+<summary>
+<span>Expand source code</span>
+</summary>
+<pre><code class="python">def hill_break_worker(message, matrix, fitness):
+ plaintext = hill_decipher(matrix, message)
+ fit = fitness(plaintext)
+ return matrix, fit</code></pre>
+</details>
+</dd>
+<dt id="szyfrow.hill.hill_decipher"><code class="name flex">
+<span>def <span class="ident">hill_decipher</span></span>(<span>matrix, message, fillvalue='a')</span>
+</code></dt>
+<dd>
+<div class="desc"><p>Hill cipher</p>
+<pre><code class="language-python-repl">>>> hill_decipher(np.matrix([[7,8], [11,11]]), 'drjiqzdrvx')
+'hellothere'
+>>> hill_decipher(np.matrix([[6, 24, 1], [13, 16, 10], [20, 17, 15]]), 'tfjflpznvyac')
+'hellothereaa'
+</code></pre></div>
+<details class="source">
+<summary>
+<span>Expand source code</span>
+</summary>
+<pre><code class="python">def hill_decipher(matrix, message, fillvalue='a'):
+ """Hill cipher
+
+ >>> hill_decipher(np.matrix([[7,8], [11,11]]), 'drjiqzdrvx')
+ 'hellothere'
+ >>> hill_decipher(np.matrix([[6, 24, 1], [13, 16, 10], [20, 17, 15]]), \
+ 'tfjflpznvyac')
+ 'hellothereaa'
+ """
+ adjoint = linalg.det(matrix)*linalg.inv(matrix)
+ inverse_determinant = modular_division_table[int(round(linalg.det(matrix))) % 26, 1]
+ inverse_matrix = (inverse_determinant * adjoint) % 26
+ return hill_encipher(inverse_matrix, message, fillvalue) </code></pre>
+</details>
+</dd>
+<dt id="szyfrow.hill.hill_encipher"><code class="name flex">
+<span>def <span class="ident">hill_encipher</span></span>(<span>matrix, message_letters, fillvalue='a')</span>
+</code></dt>
+<dd>
+<div class="desc"><p>Hill cipher</p>
+<pre><code class="language-python-repl">>>> hill_encipher(np.matrix([[7,8], [11,11]]), 'hellothere')
+'drjiqzdrvx'
+>>> hill_encipher(np.matrix([[6, 24, 1], [13, 16, 10], [20, 17, 15]]), 'hello there')
+'tfjflpznvyac'
+</code></pre></div>
+<details class="source">
+<summary>
+<span>Expand source code</span>
+</summary>
+<pre><code class="python">def hill_encipher(matrix, message_letters, fillvalue='a'):
+ """Hill cipher
+
+ >>> hill_encipher(np.matrix([[7,8], [11,11]]), 'hellothere')
+ 'drjiqzdrvx'
+ >>> hill_encipher(np.matrix([[6, 24, 1], [13, 16, 10], [20, 17, 15]]), \
+ 'hello there')
+ 'tfjflpznvyac'
+ """
+ n = len(matrix)
+ sanitised_message = sanitise(message_letters)
+ if len(sanitised_message) % n != 0:
+ padding = fillvalue[0] * (n - len(sanitised_message) % n)
+ else:
+ padding = ''
+ message = [pos(c) for c in sanitised_message + padding]
+ message_chunks = [message[i:i+n] for i in range(0, len(message), n)]
+ # message_chunks = chunks(message, len(matrix), fillvalue=None)
+ enciphered_chunks = [((matrix * np.matrix(c).T).T).tolist()[0]
+ for c in message_chunks]
+ return cat([unpos(round(l))
+ for l in sum(enciphered_chunks, [])])</code></pre>
+</details>
+</dd>
+<dt id="szyfrow.hill.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.hill.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="two-column">
+<li><code><a title="szyfrow.hill.cat" href="#szyfrow.hill.cat">cat</a></code></li>
+<li><code><a title="szyfrow.hill.hill_break" href="#szyfrow.hill.hill_break">hill_break</a></code></li>
+<li><code><a title="szyfrow.hill.hill_break_worker" href="#szyfrow.hill.hill_break_worker">hill_break_worker</a></code></li>
+<li><code><a title="szyfrow.hill.hill_decipher" href="#szyfrow.hill.hill_decipher">hill_decipher</a></code></li>
+<li><code><a title="szyfrow.hill.hill_encipher" href="#szyfrow.hill.hill_encipher">hill_encipher</a></code></li>
+<li><code><a title="szyfrow.hill.lcat" href="#szyfrow.hill.lcat">lcat</a></code></li>
+<li><code><a title="szyfrow.hill.wcat" href="#szyfrow.hill.wcat">wcat</a></code></li>
+</ul>
+</li>
+</ul>
+</nav>
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+</head>
+<body>
+<main>
+<article id="content">
+<header>
+<h1 class="title">Package <code>szyfrow</code></h1>
+</header>
+<section id="section-intro">
+<p>Simple ciphers, enciphering, deciphering, and breaking.</p>
+<p>The ciphers implemented here are mostly ones that predate mechanical cipher
+systems. The most complex cipher is the Enigma of World War II.</p>
+<p>Each cipher is presented with functions to encipher, decipher, and
+automatically break messages with that cipher.</p>
+<p>Most of the time, messages are broken by brute-force trying each possible key
+and scoring the resulting deciphered message using a bag-of-words probability
+measure (or a bag-of-bigrams, or a bag-of-trigrams).</p>
+<p>You can find more information on the ciphers and how they are implemented in
+the <a href="https://work.njae.me.uk/tag/codes-and-ciphers/">codes and ciphers area of my blog</a>.</p>
+<p>Ciphers work on messages encoded with the 26 letters of the Latin alphabet,
+without accents (the letters contained in the <code>string.ascii_letters</code> constant).
+Most of the ciphers convert letters to lowercase, strip accents from letters,
+and drop all other characters (such as spaces and punctuation).</p>
+<p><code><a title="szyfrow.support.text_prettify" href="support/text_prettify.html">szyfrow.support.text_prettify</a></code> contains functions to make the output easier
+to read, such as automatically recovering word boundaries.</p>
+<p>The name comes from the Polish cipher bureau, the Biuro Szyfrów, who were
+breaking Enigma ciphers by hand before World War II.</p>
+<details class="source">
+<summary>
+<span>Expand source code</span>
+</summary>
+<pre><code class="python">"""Simple ciphers, enciphering, deciphering, and breaking.
+
+The ciphers implemented here are mostly ones that predate mechanical cipher
+systems. The most complex cipher is the Enigma of World War II.
+
+Each cipher is presented with functions to encipher, decipher, and
+automatically break messages with that cipher.
+
+Most of the time, messages are broken by brute-force trying each possible key
+and scoring the resulting deciphered message using a bag-of-words probability
+measure (or a bag-of-bigrams, or a bag-of-trigrams).
+
+You can find more information on the ciphers and how they are implemented in
+the [codes and ciphers area of my blog](https://work.njae.me.uk/tag/codes-and-ciphers/).
+
+Ciphers work on messages encoded with the 26 letters of the Latin alphabet,
+without accents (the letters contained in the `string.ascii_letters` constant).
+Most of the ciphers convert letters to lowercase, strip accents from letters,
+and drop all other characters (such as spaces and punctuation).
+
+`szyfrow.support.text_prettify` contains functions to make the output easier
+to read, such as automatically recovering word boundaries.
+
+The name comes from the Polish cipher bureau, the Biuro Szyfrów, who were
+breaking Enigma ciphers by hand before World War II.
+"""</code></pre>
+</details>
+</section>
+<section>
+<h2 class="section-title" id="header-submodules">Sub-modules</h2>
+<dl>
+<dt><code class="name"><a title="szyfrow.affine" href="affine.html">szyfrow.affine</a></code></dt>
+<dd>
+<div class="desc"><p>Enciphering and deciphering using the <a href="https://en.wikipedia.org/wiki/Affine_cipher">affine cipher</a>.
+Also attempts to break messages that use an …</p></div>
+</dd>
+<dt><code class="name"><a title="szyfrow.amsco" href="amsco.html">szyfrow.amsco</a></code></dt>
+<dd>
+<div class="desc"><p>Enciphering and deciphering using the <a href="http://ericbrandel.com/2016/10/09/the-amsco-cipher/">Amsco cipher</a>.
+Also attempts to break messages that use …</p></div>
+</dd>
+<dt><code class="name"><a title="szyfrow.autokey" href="autokey.html">szyfrow.autokey</a></code></dt>
+<dd>
+<div class="desc"><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 …</p></div>
+</dd>
+<dt><code class="name"><a title="szyfrow.bifid" href="bifid.html">szyfrow.bifid</a></code></dt>
+<dd>
+<div class="desc"><p>Enciphering and deciphering using the <a href="https://en.wikipedia.org/wiki/Bifid_cipher">Bifid cipher</a>.
+Also attempts to break messages that use a Bifid …</p></div>
+</dd>
+<dt><code class="name"><a title="szyfrow.bombe" href="bombe.html">szyfrow.bombe</a></code></dt>
+<dd>
+<div class="desc"><p>A simulator for Bombe machines …</p></div>
+</dd>
+<dt><code class="name"><a title="szyfrow.cadenus" href="cadenus.html">szyfrow.cadenus</a></code></dt>
+<dd>
+<div class="desc"><p>Enciphering and deciphering using the <a href="https://www.thonky.com/kryptos/cadenus-cipher">Cadenus cipher</a>.
+Also attempts to break messages that use a …</p></div>
+</dd>
+<dt><code class="name"><a title="szyfrow.caesar" href="caesar.html">szyfrow.caesar</a></code></dt>
+<dd>
+<div class="desc"><p>Enciphering and deciphering using the <a href="https://en.wikipedia.org/wiki/Caesar_cipher">Caesar cipher</a>.
+Also attempts to break messages that use a Caesar …</p></div>
+</dd>
+<dt><code class="name"><a title="szyfrow.column_transposition" href="column_transposition.html">szyfrow.column_transposition</a></code></dt>
+<dd>
+<div class="desc"><p>Enciphering and deciphering using the <a href="https://en.wikipedia.org/wiki/Bifid_cipher">Column transposition cipher</a>.
+Also attempts to break messages that …</p></div>
+</dd>
+<dt><code class="name"><a title="szyfrow.enigma" href="enigma.html">szyfrow.enigma</a></code></dt>
+<dd>
+<div class="desc"><p>A simulator for Enigma machines …</p></div>
+</dd>
+<dt><code class="name"><a title="szyfrow.keyword_cipher" href="keyword_cipher.html">szyfrow.keyword_cipher</a></code></dt>
+<dd>
+<div class="desc"><p>Monoalphabetic substitution ciphers, mainly done by keyword. Enciphering
+and deciphering, and a couple of ways to break these ciphers.</p></div>
+</dd>
+<dt><code class="name"><a title="szyfrow.language_model_files" href="language_model_files/index.html">szyfrow.language_model_files</a></code></dt>
+<dd>
+<div class="desc"><p>Descriptions of English, used for building language models …</p></div>
+</dd>
+<dt><code class="name"><a title="szyfrow.playfair" href="playfair.html">szyfrow.playfair</a></code></dt>
+<dd>
+<div class="desc"><p>Enciphering and deciphering using the <a href="https://en.wikipedia.org/wiki/Playfair_cipher">Playfair cipher</a>.
+Also attempts to break messages that use a …</p></div>
+</dd>
+<dt><code class="name"><a title="szyfrow.pocket_enigma" href="pocket_enigma.html">szyfrow.pocket_enigma</a></code></dt>
+<dd>
+<div class="desc"><p>The Pocket Enigma machine, a simple example that illustrates the mechanisms
+of the Enigma machine. See [a …</p></div>
+</dd>
+<dt><code class="name"><a title="szyfrow.polybius" href="polybius.html">szyfrow.polybius</a></code></dt>
+<dd>
+<div class="desc"><p>Simple digraph substitution cipher, using the
+<a href="https://en.wikipedia.org/wiki/Polybius_square">Polybius square</a>. Enciphering
+and deciphering, and a …</p></div>
+</dd>
+<dt><code class="name"><a title="szyfrow.railfence" href="railfence.html">szyfrow.railfence</a></code></dt>
+<dd>
+<div class="desc"><p><a href="https://en.wikipedia.org/wiki/Rail_fence_cipher">Railfence transposition cipher</a> …</p></div>
+</dd>
+<dt><code class="name"><a title="szyfrow.support" href="support/index.html">szyfrow.support</a></code></dt>
+<dd>
+<div class="desc"><p>Support utilities for ciphers …</p></div>
+</dd>
+<dt><code class="name"><a title="szyfrow.vigenere" href="vigenere.html">szyfrow.vigenere</a></code></dt>
+<dd>
+<div class="desc"><p><a href="https://en.wikipedia.org/wiki/Vigen%C3%A8re_cipher">Vigenère polyalphabetic substitution ciphers</a>,
+mainly done by keyword. Also does Beaufort …</p></div>
+</dd>
+</dl>
+</section>
+<section>
+</section>
+<section>
+</section>
+<section>
+</section>
+</article>
+<nav id="sidebar">
+<h1>Index</h1>
+<div class="toc">
+<ul></ul>
+</div>
+<ul id="index">
+<li><h3><a href="#header-submodules">Sub-modules</a></h3>
+<ul>
+<li><code><a title="szyfrow.affine" href="affine.html">szyfrow.affine</a></code></li>
+<li><code><a title="szyfrow.amsco" href="amsco.html">szyfrow.amsco</a></code></li>
+<li><code><a title="szyfrow.autokey" href="autokey.html">szyfrow.autokey</a></code></li>
+<li><code><a title="szyfrow.bifid" href="bifid.html">szyfrow.bifid</a></code></li>
+<li><code><a title="szyfrow.bombe" href="bombe.html">szyfrow.bombe</a></code></li>
+<li><code><a title="szyfrow.cadenus" href="cadenus.html">szyfrow.cadenus</a></code></li>
+<li><code><a title="szyfrow.caesar" href="caesar.html">szyfrow.caesar</a></code></li>
+<li><code><a title="szyfrow.column_transposition" href="column_transposition.html">szyfrow.column_transposition</a></code></li>
+<li><code><a title="szyfrow.enigma" href="enigma.html">szyfrow.enigma</a></code></li>
+<li><code><a title="szyfrow.keyword_cipher" href="keyword_cipher.html">szyfrow.keyword_cipher</a></code></li>
+<li><code><a title="szyfrow.language_model_files" href="language_model_files/index.html">szyfrow.language_model_files</a></code></li>
+<li><code><a title="szyfrow.playfair" href="playfair.html">szyfrow.playfair</a></code></li>
+<li><code><a title="szyfrow.pocket_enigma" href="pocket_enigma.html">szyfrow.pocket_enigma</a></code></li>
+<li><code><a title="szyfrow.polybius" href="polybius.html">szyfrow.polybius</a></code></li>
+<li><code><a title="szyfrow.railfence" href="railfence.html">szyfrow.railfence</a></code></li>
+<li><code><a title="szyfrow.support" href="support/index.html">szyfrow.support</a></code></li>
+<li><code><a title="szyfrow.vigenere" href="vigenere.html">szyfrow.vigenere</a></code></li>
+</ul>
+</li>
+</ul>
+</nav>
+</main>
+<footer id="footer">
+<p>Generated by <a href="https://pdoc3.github.io/pdoc"><cite>pdoc</cite> 0.9.2</a>.</p>
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+<meta name="description" content="Monoalphabetic substitution ciphers, mainly done by keyword. Enciphering
+and deciphering, and a couple of ways to break these ciphers." />
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+<header>
+<h1 class="title">Module <code>szyfrow.keyword_cipher</code></h1>
+</header>
+<section id="section-intro">
+<p>Monoalphabetic substitution ciphers, mainly done by keyword. Enciphering
+and deciphering, and a couple of ways to break these ciphers.</p>
+<details class="source">
+<summary>
+<span>Expand source code</span>
+</summary>
+<pre><code class="python">"""Monoalphabetic substitution ciphers, mainly done by keyword. Enciphering
+and deciphering, and a couple of ways to break these ciphers.
+"""
+from enum import Enum
+import multiprocessing
+import math
+from szyfrow.support.utilities import *
+from szyfrow.support.language_models import *
+
+
+class KeywordWrapAlphabet(Enum):
+ """Ways to list the rest of the alphabet after use of a keyword.
+
+ * `from_a` : continue the alphabet from 'a': `bayescdfg...`
+ * `from_last`: continue from the last letter of the keyword:
+ `bayestuvwxyzcdf...`
+ * `from_largest`: continue from the "largest" letter of the keyword:
+ `bayeszcdfg...`
+ """
+ from_a = 1
+ from_last = 2
+ from_largest = 3
+
+
+def keyword_cipher_alphabet_of(keyword, wrap_alphabet=KeywordWrapAlphabet.from_a):
+ """Find the cipher alphabet given a keyword.
+
+ [`wrap_alphabet`](#szyfrow.keyword_cipher.KeywordWrapAlphabet) controls
+ how the rest of the alphabet is added after the keyword.
+
+ >>> keyword_cipher_alphabet_of('bayes')
+ 'bayescdfghijklmnopqrtuvwxz'
+ >>> keyword_cipher_alphabet_of('bayes', KeywordWrapAlphabet.from_a)
+ 'bayescdfghijklmnopqrtuvwxz'
+ >>> keyword_cipher_alphabet_of('bayes', KeywordWrapAlphabet.from_last)
+ 'bayestuvwxzcdfghijklmnopqr'
+ >>> keyword_cipher_alphabet_of('bayes', KeywordWrapAlphabet.from_largest)
+ 'bayeszcdfghijklmnopqrtuvwx'
+ """
+ if wrap_alphabet == KeywordWrapAlphabet.from_a:
+ cipher_alphabet = cat(deduplicate(sanitise(keyword) +
+ string.ascii_lowercase))
+ else:
+ if wrap_alphabet == KeywordWrapAlphabet.from_last:
+ last_keyword_letter = deduplicate(sanitise(keyword))[-1]
+ else:
+ last_keyword_letter = sorted(sanitise(keyword))[-1]
+ last_keyword_position = string.ascii_lowercase.find(
+ last_keyword_letter) + 1
+ cipher_alphabet = cat(
+ deduplicate(sanitise(keyword) +
+ string.ascii_lowercase[last_keyword_position:] +
+ string.ascii_lowercase))
+ return cipher_alphabet
+
+
+def keyword_encipher(message, keyword, wrap_alphabet=KeywordWrapAlphabet.from_a):
+ """Enciphers a message with a keyword substitution cipher.
+ wrap_alphabet controls how the rest of the alphabet is added
+ after the keyword.
+ 0 : from 'a'
+ 1 : from the last letter in the sanitised keyword
+ 2 : from the largest letter in the sanitised keyword
+
+ >>> keyword_encipher('test message', 'bayes')
+ 'rsqr ksqqbds'
+ >>> keyword_encipher('test message', 'bayes', KeywordWrapAlphabet.from_a)
+ 'rsqr ksqqbds'
+ >>> keyword_encipher('test message', 'bayes', KeywordWrapAlphabet.from_last)
+ 'lskl dskkbus'
+ >>> keyword_encipher('test message', 'bayes', KeywordWrapAlphabet.from_largest)
+ 'qspq jsppbcs'
+ """
+ cipher_alphabet = keyword_cipher_alphabet_of(keyword, wrap_alphabet)
+ cipher_translation = ''.maketrans(string.ascii_lowercase, cipher_alphabet)
+ return unaccent(message).lower().translate(cipher_translation)
+
+def keyword_decipher(message, keyword, wrap_alphabet=KeywordWrapAlphabet.from_a):
+ """Deciphers a message with a keyword substitution cipher.
+ wrap_alphabet controls how the rest of the alphabet is added
+ after the keyword.
+ 0 : from 'a'
+ 1 : from the last letter in the sanitised keyword
+ 2 : from the largest letter in the sanitised keyword
+
+ >>> keyword_decipher('rsqr ksqqbds', 'bayes')
+ 'test message'
+ >>> keyword_decipher('rsqr ksqqbds', 'bayes', KeywordWrapAlphabet.from_a)
+ 'test message'
+ >>> keyword_decipher('lskl dskkbus', 'bayes', KeywordWrapAlphabet.from_last)
+ 'test message'
+ >>> keyword_decipher('qspq jsppbcs', 'bayes', KeywordWrapAlphabet.from_largest)
+ 'test message'
+ """
+ cipher_alphabet = keyword_cipher_alphabet_of(keyword, wrap_alphabet)
+ cipher_translation = ''.maketrans(cipher_alphabet, string.ascii_lowercase)
+ return message.lower().translate(cipher_translation)
+
+
+def keyword_break_single_thread(message, wordlist=None, fitness=Pletters):
+ """Breaks a keyword substitution cipher using a dictionary and
+ frequency analysis.
+
+ If `wordlist` is not specified, use
+ [`szyfrow.support.langauge_models.keywords`](support/language_models.html#szyfrow.support.language_models.keywords).
+
+ >>> keyword_break(keyword_encipher('this is a test message for the ' \
+ 'keyword decipherment', 'elephant', KeywordWrapAlphabet.from_last), \
+ wordlist=['cat', 'elephant', 'kangaroo']) # doctest: +ELLIPSIS
+ (('elephant', <KeywordWrapAlphabet.from_last: 2>), -52.834575011...)
+ """
+ if wordlist is None:
+ wordlist = keywords
+
+ best_keyword = ''
+ best_wrap_alphabet = True
+ best_fit = float("-inf")
+ for wrap_alphabet in KeywordWrapAlphabet:
+ for keyword in wordlist:
+ plaintext = keyword_decipher(message, keyword, wrap_alphabet)
+ fit = fitness(plaintext)
+ if fit > best_fit:
+ best_fit = fit
+ best_keyword = keyword
+ best_wrap_alphabet = wrap_alphabet
+ return (best_keyword, best_wrap_alphabet), best_fit
+
+def keyword_break(message, wordlist=None, fitness=Pletters,
+ number_of_solutions=1, chunksize=500):
+ """Breaks a keyword substitution cipher using a dictionary and
+ frequency analysis.
+
+ If `wordlist` is not specified, use
+ [`szyfrow.support.langauge_models.keywords`](support/language_models.html#szyfrow.support.language_models.keywords).
+
+
+ >>> keyword_break_mp(keyword_encipher('this is a test message for the ' \
+ 'keyword decipherment', 'elephant', KeywordWrapAlphabet.from_last), \
+ wordlist=['cat', 'elephant', 'kangaroo']) # doctest: +ELLIPSIS
+ (('elephant', <KeywordWrapAlphabet.from_last: 2>), -52.834575011...)
+ >>> keyword_break_mp(keyword_encipher('this is a test message for the ' \
+ 'keyword decipherment', 'elephant', KeywordWrapAlphabet.from_last), \
+ wordlist=['cat', 'elephant', 'kangaroo'], \
+ number_of_solutions=2) # doctest: +ELLIPSIS, +NORMALIZE_WHITESPACE
+ [(('elephant', <KeywordWrapAlphabet.from_last: 2>), -52.834575011...),
+ (('elephant', <KeywordWrapAlphabet.from_largest: 3>), -52.834575011...)]
+ """
+ if wordlist is None:
+ wordlist = keywords
+
+ with multiprocessing.Pool() as pool:
+ helper_args = [(message, word, wrap, fitness)
+ for word in wordlist
+ for wrap in KeywordWrapAlphabet]
+ # Gotcha: the helper function here needs to be defined at the top level
+ # (limitation of Pool.starmap)
+ breaks = pool.starmap(keyword_break_worker, helper_args, chunksize)
+ if number_of_solutions == 1:
+ return max(breaks, key=lambda k: k[1])
+ else:
+ return sorted(breaks, key=lambda k: k[1], reverse=True)[:number_of_solutions]
+
+def keyword_break_worker(message, keyword, wrap_alphabet, fitness):
+ plaintext = keyword_decipher(message, keyword, wrap_alphabet)
+ fit = fitness(plaintext)
+ return (keyword, wrap_alphabet), fit
+
+
+def monoalphabetic_break_hillclimbing_single(message,
+ max_iterations=20000,
+ plain_alphabet=None,
+ cipher_alphabet=None,
+ swap_index_finder=None,
+ fitness=Pletters, chunksize=1):
+ """Break a monalphabetic substitution cipher using hillclimbing to
+ guess the keyword. Hillclimbing is done by using the simulated annealing
+ approach with a temperature of zero.
+
+ This version uses a single worker.
+ """
+ return monoalphabetic_sa_break(message,
+ workers=1,
+ initial_temperature=0,
+ max_iterations=max_iterations,
+ plain_alphabet=plain_alphabet,
+ cipher_alphabet=cipher_alphabet,
+ swap_index_finder=swap_index_finder,
+ fitness=fitness, chunksize=chunksize)
+
+
+def monoalphabetic_break_hillclimbing(message,
+ workers=10,
+ max_iterations=20000,
+ plain_alphabet=None,
+ cipher_alphabet=None,
+ swap_index_finder=None,
+ fitness=Pletters, chunksize=1):
+ """Break a monalphabetic substitution cipher using hillclimbing to
+ guess the keyword. Hillclimbing is done by using the simulated annealing
+ approach with a temperature of zero.
+
+ This version uses a several workers.
+ """
+ return monoalphabetic_sa_break(message,
+ workers=workers,
+ initial_temperature=0,
+ max_iterations=max_iterations,
+ plain_alphabet=plain_alphabet,
+ cipher_alphabet=cipher_alphabet,
+ swap_index_finder=swap_index_finder,
+ fitness=fitness, chunksize=chunksize)
+
+
+def gaussian_swap_index(a):
+ """Return an index to use as the partner of `a` in a swap. The partners
+ are drawn from a Gaussian distribution.
+ """
+ return (a + int(random.gauss(0, 4))) % 26
+
+def uniform_swap_index(a):
+ """Return an index to use as the partner of `a` in a swap. The partners
+ are drawn from a uniform distribution.
+ """
+ return random.randrange(26)
+
+def monoalphabetic_sa_break(message, workers=10,
+ initial_temperature=200,
+ max_iterations=20000,
+ plain_alphabet=None,
+ cipher_alphabet=None,
+ swap_index_finder=None,
+ fitness=Ptrigrams, chunksize=1):
+ """Break a monalphabetic substitution cipher using simulated annealing to
+ guess the keyword. This function just sets up a stable of workers who
+ do the actual work, implemented as
+ `szyfrow.keyword_cipher.monoalphabetic_sa_break_worker`.
+
+ See a [post on simulated annealing](https://work.njae.me.uk/2019/07/08/simulated-annealing-and-breaking-substitution-ciphers/)
+ for detail on how this works.
+ """
+ worker_args = []
+ ciphertext = sanitise(message)
+ if swap_index_finder is None:
+ swap_index_finder = gaussian_swap_index
+
+ for i in range(workers):
+ if plain_alphabet is None:
+ used_plain_alphabet = string.ascii_lowercase
+ else:
+ used_plain_alphabet = plain_alphabet
+ if cipher_alphabet is None:
+ used_cipher_alphabet = list(string.ascii_lowercase)
+ random.shuffle(used_cipher_alphabet)
+ used_cipher_alphabet = cat(used_cipher_alphabet)
+ else:
+ used_cipher_alphabet = cipher_alphabet
+ # if not plain_alphabet:
+ # plain_alphabet = string.ascii_lowercase
+ # if not cipher_alphabet:
+ # cipher_alphabet = list(string.ascii_lowercase)
+ # random.shuffle(cipher_alphabet)
+ # cipher_alphabet = cat(cipher_alphabet)
+ worker_args.append((ciphertext, used_plain_alphabet, used_cipher_alphabet,
+ swap_index_finder,
+ initial_temperature, max_iterations, fitness,
+ i))
+ with multiprocessing.Pool() as pool:
+ breaks = pool.starmap(monoalphabetic_sa_break_worker,
+ worker_args, chunksize)
+ return max(breaks, key=lambda k: k[1])
+
+
+def monoalphabetic_sa_break_worker(message, plain_alphabet, cipher_alphabet,
+ swap_index_finder,
+ t0, max_iterations, fitness,
+ logID):
+ """One thread of a simulated annealing run.
+ See a [post on simulated annealing](https://work.njae.me.uk/2019/07/08/simulated-annealing-and-breaking-substitution-ciphers/)
+ for detail on how this works.
+ """
+ def swap(letters, i, j):
+ if i > j:
+ i, j = j, i
+ if i == j:
+ return letters
+ else:
+ return (letters[:i] + letters[j] + letters[i+1:j] + letters[i] +
+ letters[j+1:])
+
+ temperature = t0
+
+ dt = t0 / (0.9 * max_iterations)
+
+ current_alphabet = cipher_alphabet
+ alphabet = current_alphabet
+ cipher_translation = ''.maketrans(current_alphabet, plain_alphabet)
+ plaintext = message.translate(cipher_translation)
+ current_fitness = fitness(plaintext)
+
+ best_alphabet = current_alphabet
+ best_fitness = current_fitness
+ best_plaintext = plaintext
+
+ # print('starting for', max_iterations)
+ for i in range(max_iterations):
+ swap_a = random.randrange(26)
+ # swap_b = (swap_a + int(random.gauss(0, 4))) % 26
+ swap_b = swap_index_finder(swap_a)
+ alphabet = swap(current_alphabet, swap_a, swap_b)
+ cipher_translation = ''.maketrans(alphabet, plain_alphabet)
+ plaintext = message.translate(cipher_translation)
+ 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_alphabet = alphabet
+
+ if current_fitness > best_fitness:
+ best_alphabet = current_alphabet
+ best_fitness = current_fitness
+ best_plaintext = plaintext
+
+ temperature = max(temperature - dt, 0.001)
+
+ return best_alphabet, 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.keyword_cipher.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.keyword_cipher.gaussian_swap_index"><code class="name flex">
+<span>def <span class="ident">gaussian_swap_index</span></span>(<span>a)</span>
+</code></dt>
+<dd>
+<div class="desc"><p>Return an index to use as the partner of <code>a</code> in a swap. The partners
+are drawn from a Gaussian distribution.</p></div>
+<details class="source">
+<summary>
+<span>Expand source code</span>
+</summary>
+<pre><code class="python">def gaussian_swap_index(a):
+ """Return an index to use as the partner of `a` in a swap. The partners
+ are drawn from a Gaussian distribution.
+ """
+ return (a + int(random.gauss(0, 4))) % 26</code></pre>
+</details>
+</dd>
+<dt id="szyfrow.keyword_cipher.keyword_break"><code class="name flex">
+<span>def <span class="ident">keyword_break</span></span>(<span>message, wordlist=None, fitness=<function Pletters>, number_of_solutions=1, chunksize=500)</span>
+</code></dt>
+<dd>
+<div class="desc"><p>Breaks a keyword substitution cipher using a dictionary and
+frequency analysis.</p>
+<p>If <code>wordlist</code> is not specified, use
+<a href="support/language_models.html#szyfrow.support.language_models.keywords"><code>szyfrow.support.langauge_models.keywords</code></a>.</p>
+<pre><code class="language-python-repl">>>> keyword_break_mp(keyword_encipher('this is a test message for the ' 'keyword decipherment', 'elephant', KeywordWrapAlphabet.from_last), wordlist=['cat', 'elephant', 'kangaroo']) # doctest: +ELLIPSIS
+(('elephant', <KeywordWrapAlphabet.from_last: 2>), -52.834575011...)
+>>> keyword_break_mp(keyword_encipher('this is a test message for the ' 'keyword decipherment', 'elephant', KeywordWrapAlphabet.from_last), wordlist=['cat', 'elephant', 'kangaroo'], number_of_solutions=2) # doctest: +ELLIPSIS, +NORMALIZE_WHITESPACE
+[(('elephant', <KeywordWrapAlphabet.from_last: 2>), -52.834575011...),
+(('elephant', <KeywordWrapAlphabet.from_largest: 3>), -52.834575011...)]
+</code></pre></div>
+<details class="source">
+<summary>
+<span>Expand source code</span>
+</summary>
+<pre><code class="python">def keyword_break(message, wordlist=None, fitness=Pletters,
+ number_of_solutions=1, chunksize=500):
+ """Breaks a keyword substitution cipher using a dictionary and
+ frequency analysis.
+
+ If `wordlist` is not specified, use
+ [`szyfrow.support.langauge_models.keywords`](support/language_models.html#szyfrow.support.language_models.keywords).
+
+
+ >>> keyword_break_mp(keyword_encipher('this is a test message for the ' \
+ 'keyword decipherment', 'elephant', KeywordWrapAlphabet.from_last), \
+ wordlist=['cat', 'elephant', 'kangaroo']) # doctest: +ELLIPSIS
+ (('elephant', <KeywordWrapAlphabet.from_last: 2>), -52.834575011...)
+ >>> keyword_break_mp(keyword_encipher('this is a test message for the ' \
+ 'keyword decipherment', 'elephant', KeywordWrapAlphabet.from_last), \
+ wordlist=['cat', 'elephant', 'kangaroo'], \
+ number_of_solutions=2) # doctest: +ELLIPSIS, +NORMALIZE_WHITESPACE
+ [(('elephant', <KeywordWrapAlphabet.from_last: 2>), -52.834575011...),
+ (('elephant', <KeywordWrapAlphabet.from_largest: 3>), -52.834575011...)]
+ """
+ if wordlist is None:
+ wordlist = keywords
+
+ with multiprocessing.Pool() as pool:
+ helper_args = [(message, word, wrap, fitness)
+ for word in wordlist
+ for wrap in KeywordWrapAlphabet]
+ # Gotcha: the helper function here needs to be defined at the top level
+ # (limitation of Pool.starmap)
+ breaks = pool.starmap(keyword_break_worker, helper_args, chunksize)
+ if number_of_solutions == 1:
+ return max(breaks, key=lambda k: k[1])
+ else:
+ return sorted(breaks, key=lambda k: k[1], reverse=True)[:number_of_solutions]</code></pre>
+</details>
+</dd>
+<dt id="szyfrow.keyword_cipher.keyword_break_single_thread"><code class="name flex">
+<span>def <span class="ident">keyword_break_single_thread</span></span>(<span>message, wordlist=None, fitness=<function Pletters>)</span>
+</code></dt>
+<dd>
+<div class="desc"><p>Breaks a keyword substitution cipher using a dictionary and
+frequency analysis.</p>
+<p>If <code>wordlist</code> is not specified, use
+<a href="support/language_models.html#szyfrow.support.language_models.keywords"><code>szyfrow.support.langauge_models.keywords</code></a>.</p>
+<pre><code class="language-python-repl">>>> keyword_break(keyword_encipher('this is a test message for the ' 'keyword decipherment', 'elephant', KeywordWrapAlphabet.from_last), wordlist=['cat', 'elephant', 'kangaroo']) # doctest: +ELLIPSIS
+(('elephant', <KeywordWrapAlphabet.from_last: 2>), -52.834575011...)
+</code></pre></div>
+<details class="source">
+<summary>
+<span>Expand source code</span>
+</summary>
+<pre><code class="python">def keyword_break_single_thread(message, wordlist=None, fitness=Pletters):
+ """Breaks a keyword substitution cipher using a dictionary and
+ frequency analysis.
+
+ If `wordlist` is not specified, use
+ [`szyfrow.support.langauge_models.keywords`](support/language_models.html#szyfrow.support.language_models.keywords).
+
+ >>> keyword_break(keyword_encipher('this is a test message for the ' \
+ 'keyword decipherment', 'elephant', KeywordWrapAlphabet.from_last), \
+ wordlist=['cat', 'elephant', 'kangaroo']) # doctest: +ELLIPSIS
+ (('elephant', <KeywordWrapAlphabet.from_last: 2>), -52.834575011...)
+ """
+ if wordlist is None:
+ wordlist = keywords
+
+ best_keyword = ''
+ best_wrap_alphabet = True
+ best_fit = float("-inf")
+ for wrap_alphabet in KeywordWrapAlphabet:
+ for keyword in wordlist:
+ plaintext = keyword_decipher(message, keyword, wrap_alphabet)
+ fit = fitness(plaintext)
+ if fit > best_fit:
+ best_fit = fit
+ best_keyword = keyword
+ best_wrap_alphabet = wrap_alphabet
+ return (best_keyword, best_wrap_alphabet), best_fit</code></pre>
+</details>
+</dd>
+<dt id="szyfrow.keyword_cipher.keyword_break_worker"><code class="name flex">
+<span>def <span class="ident">keyword_break_worker</span></span>(<span>message, keyword, wrap_alphabet, fitness)</span>
+</code></dt>
+<dd>
+<div class="desc"></div>
+<details class="source">
+<summary>
+<span>Expand source code</span>
+</summary>
+<pre><code class="python">def keyword_break_worker(message, keyword, wrap_alphabet, fitness):
+ plaintext = keyword_decipher(message, keyword, wrap_alphabet)
+ fit = fitness(plaintext)
+ return (keyword, wrap_alphabet), fit</code></pre>
+</details>
+</dd>
+<dt id="szyfrow.keyword_cipher.keyword_cipher_alphabet_of"><code class="name flex">
+<span>def <span class="ident">keyword_cipher_alphabet_of</span></span>(<span>keyword, wrap_alphabet=KeywordWrapAlphabet.from_a)</span>
+</code></dt>
+<dd>
+<div class="desc"><p>Find the cipher alphabet given a keyword.</p>
+<p><a href="#szyfrow.keyword_cipher.KeywordWrapAlphabet"><code>wrap_alphabet</code></a> controls
+how the rest of the alphabet is added after the keyword.</p>
+<pre><code class="language-python-repl">>>> keyword_cipher_alphabet_of('bayes')
+'bayescdfghijklmnopqrtuvwxz'
+>>> keyword_cipher_alphabet_of('bayes', KeywordWrapAlphabet.from_a)
+'bayescdfghijklmnopqrtuvwxz'
+>>> keyword_cipher_alphabet_of('bayes', KeywordWrapAlphabet.from_last)
+'bayestuvwxzcdfghijklmnopqr'
+>>> keyword_cipher_alphabet_of('bayes', KeywordWrapAlphabet.from_largest)
+'bayeszcdfghijklmnopqrtuvwx'
+</code></pre></div>
+<details class="source">
+<summary>
+<span>Expand source code</span>
+</summary>
+<pre><code class="python">def keyword_cipher_alphabet_of(keyword, wrap_alphabet=KeywordWrapAlphabet.from_a):
+ """Find the cipher alphabet given a keyword.
+
+ [`wrap_alphabet`](#szyfrow.keyword_cipher.KeywordWrapAlphabet) controls
+ how the rest of the alphabet is added after the keyword.
+
+ >>> keyword_cipher_alphabet_of('bayes')
+ 'bayescdfghijklmnopqrtuvwxz'
+ >>> keyword_cipher_alphabet_of('bayes', KeywordWrapAlphabet.from_a)
+ 'bayescdfghijklmnopqrtuvwxz'
+ >>> keyword_cipher_alphabet_of('bayes', KeywordWrapAlphabet.from_last)
+ 'bayestuvwxzcdfghijklmnopqr'
+ >>> keyword_cipher_alphabet_of('bayes', KeywordWrapAlphabet.from_largest)
+ 'bayeszcdfghijklmnopqrtuvwx'
+ """
+ if wrap_alphabet == KeywordWrapAlphabet.from_a:
+ cipher_alphabet = cat(deduplicate(sanitise(keyword) +
+ string.ascii_lowercase))
+ else:
+ if wrap_alphabet == KeywordWrapAlphabet.from_last:
+ last_keyword_letter = deduplicate(sanitise(keyword))[-1]
+ else:
+ last_keyword_letter = sorted(sanitise(keyword))[-1]
+ last_keyword_position = string.ascii_lowercase.find(
+ last_keyword_letter) + 1
+ cipher_alphabet = cat(
+ deduplicate(sanitise(keyword) +
+ string.ascii_lowercase[last_keyword_position:] +
+ string.ascii_lowercase))
+ return cipher_alphabet</code></pre>
+</details>
+</dd>
+<dt id="szyfrow.keyword_cipher.keyword_decipher"><code class="name flex">
+<span>def <span class="ident">keyword_decipher</span></span>(<span>message, keyword, wrap_alphabet=KeywordWrapAlphabet.from_a)</span>
+</code></dt>
+<dd>
+<div class="desc"><p>Deciphers a message with a keyword substitution cipher.
+wrap_alphabet controls how the rest of the alphabet is added
+after the keyword.
+0 : from 'a'
+1 : from the last letter in the sanitised keyword
+2 : from the largest letter in the sanitised keyword</p>
+<pre><code class="language-python-repl">>>> keyword_decipher('rsqr ksqqbds', 'bayes')
+'test message'
+>>> keyword_decipher('rsqr ksqqbds', 'bayes', KeywordWrapAlphabet.from_a)
+'test message'
+>>> keyword_decipher('lskl dskkbus', 'bayes', KeywordWrapAlphabet.from_last)
+'test message'
+>>> keyword_decipher('qspq jsppbcs', 'bayes', KeywordWrapAlphabet.from_largest)
+'test message'
+</code></pre></div>
+<details class="source">
+<summary>
+<span>Expand source code</span>
+</summary>
+<pre><code class="python">def keyword_decipher(message, keyword, wrap_alphabet=KeywordWrapAlphabet.from_a):
+ """Deciphers a message with a keyword substitution cipher.
+ wrap_alphabet controls how the rest of the alphabet is added
+ after the keyword.
+ 0 : from 'a'
+ 1 : from the last letter in the sanitised keyword
+ 2 : from the largest letter in the sanitised keyword
+
+ >>> keyword_decipher('rsqr ksqqbds', 'bayes')
+ 'test message'
+ >>> keyword_decipher('rsqr ksqqbds', 'bayes', KeywordWrapAlphabet.from_a)
+ 'test message'
+ >>> keyword_decipher('lskl dskkbus', 'bayes', KeywordWrapAlphabet.from_last)
+ 'test message'
+ >>> keyword_decipher('qspq jsppbcs', 'bayes', KeywordWrapAlphabet.from_largest)
+ 'test message'
+ """
+ cipher_alphabet = keyword_cipher_alphabet_of(keyword, wrap_alphabet)
+ cipher_translation = ''.maketrans(cipher_alphabet, string.ascii_lowercase)
+ return message.lower().translate(cipher_translation)</code></pre>
+</details>
+</dd>
+<dt id="szyfrow.keyword_cipher.keyword_encipher"><code class="name flex">
+<span>def <span class="ident">keyword_encipher</span></span>(<span>message, keyword, wrap_alphabet=KeywordWrapAlphabet.from_a)</span>
+</code></dt>
+<dd>
+<div class="desc"><p>Enciphers a message with a keyword substitution cipher.
+wrap_alphabet controls how the rest of the alphabet is added
+after the keyword.
+0 : from 'a'
+1 : from the last letter in the sanitised keyword
+2 : from the largest letter in the sanitised keyword</p>
+<pre><code class="language-python-repl">>>> keyword_encipher('test message', 'bayes')
+'rsqr ksqqbds'
+>>> keyword_encipher('test message', 'bayes', KeywordWrapAlphabet.from_a)
+'rsqr ksqqbds'
+>>> keyword_encipher('test message', 'bayes', KeywordWrapAlphabet.from_last)
+'lskl dskkbus'
+>>> keyword_encipher('test message', 'bayes', KeywordWrapAlphabet.from_largest)
+'qspq jsppbcs'
+</code></pre></div>
+<details class="source">
+<summary>
+<span>Expand source code</span>
+</summary>
+<pre><code class="python">def keyword_encipher(message, keyword, wrap_alphabet=KeywordWrapAlphabet.from_a):
+ """Enciphers a message with a keyword substitution cipher.
+ wrap_alphabet controls how the rest of the alphabet is added
+ after the keyword.
+ 0 : from 'a'
+ 1 : from the last letter in the sanitised keyword
+ 2 : from the largest letter in the sanitised keyword
+
+ >>> keyword_encipher('test message', 'bayes')
+ 'rsqr ksqqbds'
+ >>> keyword_encipher('test message', 'bayes', KeywordWrapAlphabet.from_a)
+ 'rsqr ksqqbds'
+ >>> keyword_encipher('test message', 'bayes', KeywordWrapAlphabet.from_last)
+ 'lskl dskkbus'
+ >>> keyword_encipher('test message', 'bayes', KeywordWrapAlphabet.from_largest)
+ 'qspq jsppbcs'
+ """
+ cipher_alphabet = keyword_cipher_alphabet_of(keyword, wrap_alphabet)
+ cipher_translation = ''.maketrans(string.ascii_lowercase, cipher_alphabet)
+ return unaccent(message).lower().translate(cipher_translation)</code></pre>
+</details>
+</dd>
+<dt id="szyfrow.keyword_cipher.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.keyword_cipher.monoalphabetic_break_hillclimbing"><code class="name flex">
+<span>def <span class="ident">monoalphabetic_break_hillclimbing</span></span>(<span>message, workers=10, max_iterations=20000, plain_alphabet=None, cipher_alphabet=None, swap_index_finder=None, fitness=<function Pletters>, chunksize=1)</span>
+</code></dt>
+<dd>
+<div class="desc"><p>Break a monalphabetic substitution cipher using hillclimbing to
+guess the keyword. Hillclimbing is done by using the simulated annealing
+approach with a temperature of zero.</p>
+<p>This version uses a several workers.</p></div>
+<details class="source">
+<summary>
+<span>Expand source code</span>
+</summary>
+<pre><code class="python">def monoalphabetic_break_hillclimbing(message,
+ workers=10,
+ max_iterations=20000,
+ plain_alphabet=None,
+ cipher_alphabet=None,
+ swap_index_finder=None,
+ fitness=Pletters, chunksize=1):
+ """Break a monalphabetic substitution cipher using hillclimbing to
+ guess the keyword. Hillclimbing is done by using the simulated annealing
+ approach with a temperature of zero.
+
+ This version uses a several workers.
+ """
+ return monoalphabetic_sa_break(message,
+ workers=workers,
+ initial_temperature=0,
+ max_iterations=max_iterations,
+ plain_alphabet=plain_alphabet,
+ cipher_alphabet=cipher_alphabet,
+ swap_index_finder=swap_index_finder,
+ fitness=fitness, chunksize=chunksize)</code></pre>
+</details>
+</dd>
+<dt id="szyfrow.keyword_cipher.monoalphabetic_break_hillclimbing_single"><code class="name flex">
+<span>def <span class="ident">monoalphabetic_break_hillclimbing_single</span></span>(<span>message, max_iterations=20000, plain_alphabet=None, cipher_alphabet=None, swap_index_finder=None, fitness=<function Pletters>, chunksize=1)</span>
+</code></dt>
+<dd>
+<div class="desc"><p>Break a monalphabetic substitution cipher using hillclimbing to
+guess the keyword. Hillclimbing is done by using the simulated annealing
+approach with a temperature of zero.</p>
+<p>This version uses a single worker.</p></div>
+<details class="source">
+<summary>
+<span>Expand source code</span>
+</summary>
+<pre><code class="python">def monoalphabetic_break_hillclimbing_single(message,
+ max_iterations=20000,
+ plain_alphabet=None,
+ cipher_alphabet=None,
+ swap_index_finder=None,
+ fitness=Pletters, chunksize=1):
+ """Break a monalphabetic substitution cipher using hillclimbing to
+ guess the keyword. Hillclimbing is done by using the simulated annealing
+ approach with a temperature of zero.
+
+ This version uses a single worker.
+ """
+ return monoalphabetic_sa_break(message,
+ workers=1,
+ initial_temperature=0,
+ max_iterations=max_iterations,
+ plain_alphabet=plain_alphabet,
+ cipher_alphabet=cipher_alphabet,
+ swap_index_finder=swap_index_finder,
+ fitness=fitness, chunksize=chunksize)</code></pre>
+</details>
+</dd>
+<dt id="szyfrow.keyword_cipher.monoalphabetic_sa_break"><code class="name flex">
+<span>def <span class="ident">monoalphabetic_sa_break</span></span>(<span>message, workers=10, initial_temperature=200, max_iterations=20000, plain_alphabet=None, cipher_alphabet=None, swap_index_finder=None, fitness=<function Ptrigrams>, chunksize=1)</span>
+</code></dt>
+<dd>
+<div class="desc"><p>Break a monalphabetic substitution cipher using simulated annealing to
+guess the keyword. This function just sets up a stable of workers who
+do the actual work, implemented as
+<code><a title="szyfrow.keyword_cipher.monoalphabetic_sa_break_worker" href="#szyfrow.keyword_cipher.monoalphabetic_sa_break_worker">monoalphabetic_sa_break_worker()</a></code>.</p>
+<p>See a <a href="https://work.njae.me.uk/2019/07/08/simulated-annealing-and-breaking-substitution-ciphers/">post on simulated annealing</a>
+for detail on how this works.</p></div>
+<details class="source">
+<summary>
+<span>Expand source code</span>
+</summary>
+<pre><code class="python">def monoalphabetic_sa_break(message, workers=10,
+ initial_temperature=200,
+ max_iterations=20000,
+ plain_alphabet=None,
+ cipher_alphabet=None,
+ swap_index_finder=None,
+ fitness=Ptrigrams, chunksize=1):
+ """Break a monalphabetic substitution cipher using simulated annealing to
+ guess the keyword. This function just sets up a stable of workers who
+ do the actual work, implemented as
+ `szyfrow.keyword_cipher.monoalphabetic_sa_break_worker`.
+
+ See a [post on simulated annealing](https://work.njae.me.uk/2019/07/08/simulated-annealing-and-breaking-substitution-ciphers/)
+ for detail on how this works.
+ """
+ worker_args = []
+ ciphertext = sanitise(message)
+ if swap_index_finder is None:
+ swap_index_finder = gaussian_swap_index
+
+ for i in range(workers):
+ if plain_alphabet is None:
+ used_plain_alphabet = string.ascii_lowercase
+ else:
+ used_plain_alphabet = plain_alphabet
+ if cipher_alphabet is None:
+ used_cipher_alphabet = list(string.ascii_lowercase)
+ random.shuffle(used_cipher_alphabet)
+ used_cipher_alphabet = cat(used_cipher_alphabet)
+ else:
+ used_cipher_alphabet = cipher_alphabet
+ # if not plain_alphabet:
+ # plain_alphabet = string.ascii_lowercase
+ # if not cipher_alphabet:
+ # cipher_alphabet = list(string.ascii_lowercase)
+ # random.shuffle(cipher_alphabet)
+ # cipher_alphabet = cat(cipher_alphabet)
+ worker_args.append((ciphertext, used_plain_alphabet, used_cipher_alphabet,
+ swap_index_finder,
+ initial_temperature, max_iterations, fitness,
+ i))
+ with multiprocessing.Pool() as pool:
+ breaks = pool.starmap(monoalphabetic_sa_break_worker,
+ worker_args, chunksize)
+ return max(breaks, key=lambda k: k[1])</code></pre>
+</details>
+</dd>
+<dt id="szyfrow.keyword_cipher.monoalphabetic_sa_break_worker"><code class="name flex">
+<span>def <span class="ident">monoalphabetic_sa_break_worker</span></span>(<span>message, plain_alphabet, cipher_alphabet, swap_index_finder, t0, max_iterations, fitness, logID)</span>
+</code></dt>
+<dd>
+<div class="desc"><p>One thread of a simulated annealing run.
+See a <a href="https://work.njae.me.uk/2019/07/08/simulated-annealing-and-breaking-substitution-ciphers/">post on simulated annealing</a>
+for detail on how this works.</p></div>
+<details class="source">
+<summary>
+<span>Expand source code</span>
+</summary>
+<pre><code class="python">def monoalphabetic_sa_break_worker(message, plain_alphabet, cipher_alphabet,
+ swap_index_finder,
+ t0, max_iterations, fitness,
+ logID):
+ """One thread of a simulated annealing run.
+ See a [post on simulated annealing](https://work.njae.me.uk/2019/07/08/simulated-annealing-and-breaking-substitution-ciphers/)
+ for detail on how this works.
+ """
+ def swap(letters, i, j):
+ if i > j:
+ i, j = j, i
+ if i == j:
+ return letters
+ else:
+ return (letters[:i] + letters[j] + letters[i+1:j] + letters[i] +
+ letters[j+1:])
+
+ temperature = t0
+
+ dt = t0 / (0.9 * max_iterations)
+
+ current_alphabet = cipher_alphabet
+ alphabet = current_alphabet
+ cipher_translation = ''.maketrans(current_alphabet, plain_alphabet)
+ plaintext = message.translate(cipher_translation)
+ current_fitness = fitness(plaintext)
+
+ best_alphabet = current_alphabet
+ best_fitness = current_fitness
+ best_plaintext = plaintext
+
+ # print('starting for', max_iterations)
+ for i in range(max_iterations):
+ swap_a = random.randrange(26)
+ # swap_b = (swap_a + int(random.gauss(0, 4))) % 26
+ swap_b = swap_index_finder(swap_a)
+ alphabet = swap(current_alphabet, swap_a, swap_b)
+ cipher_translation = ''.maketrans(alphabet, plain_alphabet)
+ plaintext = message.translate(cipher_translation)
+ 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_alphabet = alphabet
+
+ if current_fitness > best_fitness:
+ best_alphabet = current_alphabet
+ best_fitness = current_fitness
+ best_plaintext = plaintext
+
+ temperature = max(temperature - dt, 0.001)
+
+ return best_alphabet, best_fitness # current_alphabet, current_fitness</code></pre>
+</details>
+</dd>
+<dt id="szyfrow.keyword_cipher.uniform_swap_index"><code class="name flex">
+<span>def <span class="ident">uniform_swap_index</span></span>(<span>a)</span>
+</code></dt>
+<dd>
+<div class="desc"><p>Return an index to use as the partner of <code>a</code> in a swap. The partners
+are drawn from a uniform distribution.</p></div>
+<details class="source">
+<summary>
+<span>Expand source code</span>
+</summary>
+<pre><code class="python">def uniform_swap_index(a):
+ """Return an index to use as the partner of `a` in a swap. The partners
+ are drawn from a uniform distribution.
+ """
+ return random.randrange(26)</code></pre>
+</details>
+</dd>
+<dt id="szyfrow.keyword_cipher.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>
+<h2 class="section-title" id="header-classes">Classes</h2>
+<dl>
+<dt id="szyfrow.keyword_cipher.KeywordWrapAlphabet"><code class="flex name class">
+<span>class <span class="ident">KeywordWrapAlphabet</span></span>
+<span>(</span><span>value, names=None, *, module=None, qualname=None, type=None, start=1)</span>
+</code></dt>
+<dd>
+<div class="desc"><p>Ways to list the rest of the alphabet after use of a keyword.</p>
+<ul>
+<li><code>from_a</code> : continue the alphabet from 'a': <code>bayescdfg…</code></li>
+<li><code>from_last</code>: continue from the last letter of the keyword:
+<code>bayestuvwxyzcdf…</code></li>
+<li><code>from_largest</code>: continue from the "largest" letter of the keyword:
+<code>bayeszcdfg…</code></li>
+</ul></div>
+<details class="source">
+<summary>
+<span>Expand source code</span>
+</summary>
+<pre><code class="python">class KeywordWrapAlphabet(Enum):
+ """Ways to list the rest of the alphabet after use of a keyword.
+
+ * `from_a` : continue the alphabet from 'a': `bayescdfg...`
+ * `from_last`: continue from the last letter of the keyword:
+ `bayestuvwxyzcdf...`
+ * `from_largest`: continue from the "largest" letter of the keyword:
+ `bayeszcdfg...`
+ """
+ from_a = 1
+ from_last = 2
+ from_largest = 3</code></pre>
+</details>
+<h3>Ancestors</h3>
+<ul class="hlist">
+<li>enum.Enum</li>
+</ul>
+<h3>Class variables</h3>
+<dl>
+<dt id="szyfrow.keyword_cipher.KeywordWrapAlphabet.from_a"><code class="name">var <span class="ident">from_a</span></code></dt>
+<dd>
+<div class="desc"></div>
+</dd>
+<dt id="szyfrow.keyword_cipher.KeywordWrapAlphabet.from_largest"><code class="name">var <span class="ident">from_largest</span></code></dt>
+<dd>
+<div class="desc"></div>
+</dd>
+<dt id="szyfrow.keyword_cipher.KeywordWrapAlphabet.from_last"><code class="name">var <span class="ident">from_last</span></code></dt>
+<dd>
+<div class="desc"></div>
+</dd>
+</dl>
+</dd>
+</dl>
+</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.keyword_cipher.cat" href="#szyfrow.keyword_cipher.cat">cat</a></code></li>
+<li><code><a title="szyfrow.keyword_cipher.gaussian_swap_index" href="#szyfrow.keyword_cipher.gaussian_swap_index">gaussian_swap_index</a></code></li>
+<li><code><a title="szyfrow.keyword_cipher.keyword_break" href="#szyfrow.keyword_cipher.keyword_break">keyword_break</a></code></li>
+<li><code><a title="szyfrow.keyword_cipher.keyword_break_single_thread" href="#szyfrow.keyword_cipher.keyword_break_single_thread">keyword_break_single_thread</a></code></li>
+<li><code><a title="szyfrow.keyword_cipher.keyword_break_worker" href="#szyfrow.keyword_cipher.keyword_break_worker">keyword_break_worker</a></code></li>
+<li><code><a title="szyfrow.keyword_cipher.keyword_cipher_alphabet_of" href="#szyfrow.keyword_cipher.keyword_cipher_alphabet_of">keyword_cipher_alphabet_of</a></code></li>
+<li><code><a title="szyfrow.keyword_cipher.keyword_decipher" href="#szyfrow.keyword_cipher.keyword_decipher">keyword_decipher</a></code></li>
+<li><code><a title="szyfrow.keyword_cipher.keyword_encipher" href="#szyfrow.keyword_cipher.keyword_encipher">keyword_encipher</a></code></li>
+<li><code><a title="szyfrow.keyword_cipher.lcat" href="#szyfrow.keyword_cipher.lcat">lcat</a></code></li>
+<li><code><a title="szyfrow.keyword_cipher.monoalphabetic_break_hillclimbing" href="#szyfrow.keyword_cipher.monoalphabetic_break_hillclimbing">monoalphabetic_break_hillclimbing</a></code></li>
+<li><code><a title="szyfrow.keyword_cipher.monoalphabetic_break_hillclimbing_single" href="#szyfrow.keyword_cipher.monoalphabetic_break_hillclimbing_single">monoalphabetic_break_hillclimbing_single</a></code></li>
+<li><code><a title="szyfrow.keyword_cipher.monoalphabetic_sa_break" href="#szyfrow.keyword_cipher.monoalphabetic_sa_break">monoalphabetic_sa_break</a></code></li>
+<li><code><a title="szyfrow.keyword_cipher.monoalphabetic_sa_break_worker" href="#szyfrow.keyword_cipher.monoalphabetic_sa_break_worker">monoalphabetic_sa_break_worker</a></code></li>
+<li><code><a title="szyfrow.keyword_cipher.uniform_swap_index" href="#szyfrow.keyword_cipher.uniform_swap_index">uniform_swap_index</a></code></li>
+<li><code><a title="szyfrow.keyword_cipher.wcat" href="#szyfrow.keyword_cipher.wcat">wcat</a></code></li>
+</ul>
+</li>
+<li><h3><a href="#header-classes">Classes</a></h3>
+<ul>
+<li>
+<h4><code><a title="szyfrow.keyword_cipher.KeywordWrapAlphabet" href="#szyfrow.keyword_cipher.KeywordWrapAlphabet">KeywordWrapAlphabet</a></code></h4>
+<ul class="">
+<li><code><a title="szyfrow.keyword_cipher.KeywordWrapAlphabet.from_a" href="#szyfrow.keyword_cipher.KeywordWrapAlphabet.from_a">from_a</a></code></li>
+<li><code><a title="szyfrow.keyword_cipher.KeywordWrapAlphabet.from_largest" href="#szyfrow.keyword_cipher.KeywordWrapAlphabet.from_largest">from_largest</a></code></li>
+<li><code><a title="szyfrow.keyword_cipher.KeywordWrapAlphabet.from_last" href="#szyfrow.keyword_cipher.KeywordWrapAlphabet.from_last">from_last</a></code></li>
+</ul>
+</li>
+</ul>
+</li>
+</ul>
+</nav>
+</main>
+<footer id="footer">
+<p>Generated by <a href="https://pdoc3.github.io/pdoc"><cite>pdoc</cite> 0.9.2</a>.</p>
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+<article id="content">
+<header>
+<h1 class="title">Module <code>szyfrow.language_model_files</code></h1>
+</header>
+<section id="section-intro">
+<p>Descriptions of English, used for building language models. </p>
+<p>Language models are for understanding what English looks like, for help with
+cipher breaking.</p>
+<ul>
+<li><code>count_1l.txt</code>: counts of single letters</li>
+<li><code>count_2l.txt</code>: counts of pairs letters, bigrams</li>
+<li><code>count_3l.txt</code>: counts of triples of letters, triagrams</li>
+<li><code>words.txt</code>: a dictionary of words, used for keyword-based cipher breaking.
+These words should only contain characters cointained in
+<code>string.ascii_letters</code>.</li>
+</ul>
+<p>See <a href="../support/language_models.html"><code>szyfrow/language_models</code></a> for how these files are used.</p>
+<details class="source">
+<summary>
+<span>Expand source code</span>
+</summary>
+<pre><code class="python">"""Descriptions of English, used for building language models.
+
+Language models are for understanding what English looks like, for help with
+cipher breaking.
+
+* `count_1l.txt`: counts of single letters
+* `count_2l.txt`: counts of pairs letters, bigrams
+* `count_3l.txt`: counts of triples of letters, triagrams
+* `words.txt`: a dictionary of words, used for keyword-based cipher breaking.
+ These words should only contain characters cointained in
+ `string.ascii_letters`.
+
+See [`szyfrow/language_models`](../support/language_models.html) for how these files are used.
+"""</code></pre>
+</details>
+</section>
+<section>
+</section>
+<section>
+</section>
+<section>
+</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>
+</ul>
+</nav>
+</main>
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+<title>szyfrow.playfair API documentation</title>
+<meta name="description" content="Enciphering and deciphering using the [Playfair cipher](https://en.wikipedia.org/wiki/Playfair_cipher).
+Also attempts to break messages that use a …" />
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+<article id="content">
+<header>
+<h1 class="title">Module <code>szyfrow.playfair</code></h1>
+</header>
+<section id="section-intro">
+<p>Enciphering and deciphering using the <a href="https://en.wikipedia.org/wiki/Playfair_cipher">Playfair cipher</a>.
+Also attempts to break messages that use a Playfair cipher.</p>
+<details class="source">
+<summary>
+<span>Expand source code</span>
+</summary>
+<pre><code class="python">"""Enciphering and deciphering using the [Playfair cipher](https://en.wikipedia.org/wiki/Playfair_cipher).
+Also attempts to break messages that use a Playfair cipher.
+"""
+from szyfrow.support.utilities import *
+from szyfrow.support.language_models import *
+from szyfrow.keyword_cipher import KeywordWrapAlphabet, keyword_cipher_alphabet_of
+from szyfrow.polybius import polybius_grid
+import multiprocessing
+
+def playfair_wrap(n, lowest, highest):
+ """Ensures _n_ is between _lowest_ and _highest_ (inclusive at both ends).
+ """
+ skip = highest - lowest + 1
+ while n > highest or n < lowest:
+ if n > highest:
+ n -= skip
+ if n < lowest:
+ n += skip
+ return n
+
+def playfair_encipher_bigram(ab, grid, padding_letter='x'):
+ """Encipher a single pair of letters using the Playfair method."""
+ a, b = ab
+ max_row = max(c[0] for c in grid.values())
+ max_col = max(c[1] for c in grid.values())
+ min_row = min(c[0] for c in grid.values())
+ min_col = min(c[1] for c in grid.values())
+ if a == b:
+ b = padding_letter
+ if grid[a][0] == grid[b][0]: # same row
+ cp = (grid[a][0], playfair_wrap(grid[a][1] + 1, min_col, max_col))
+ dp = (grid[b][0], playfair_wrap(grid[b][1] + 1, min_col, max_col))
+ elif grid[a][1] == grid[b][1]: # same column
+ cp = (playfair_wrap(grid[a][0] + 1, min_row, max_row), grid[a][1])
+ dp = (playfair_wrap(grid[b][0] + 1, min_row, max_row), grid[b][1])
+ else:
+ cp = (grid[a][0], grid[b][1])
+ dp = (grid[b][0], grid[a][1])
+ c = [k for k, v in grid.items() if v == cp][0]
+ d = [k for k, v in grid.items() if v == dp][0]
+ return c + d
+
+def playfair_decipher_bigram(ab, grid, padding_letter='x'):
+ """Decipher a single pair of letters using the Playfair method."""
+ a, b = ab
+ max_row = max(c[0] for c in grid.values())
+ max_col = max(c[1] for c in grid.values())
+ min_row = min(c[0] for c in grid.values())
+ min_col = min(c[1] for c in grid.values())
+ if a == b:
+ b = padding_letter
+ if grid[a][0] == grid[b][0]: # same row
+ cp = (grid[a][0], playfair_wrap(grid[a][1] - 1, min_col, max_col))
+ dp = (grid[b][0], playfair_wrap(grid[b][1] - 1, min_col, max_col))
+ elif grid[a][1] == grid[b][1]: # same column
+ cp = (playfair_wrap(grid[a][0] - 1, min_row, max_row), grid[a][1])
+ dp = (playfair_wrap(grid[b][0] - 1, min_row, max_row), grid[b][1])
+ else:
+ cp = (grid[a][0], grid[b][1])
+ dp = (grid[b][0], grid[a][1])
+ c = [k for k, v in grid.items() if v == cp][0]
+ d = [k for k, v in grid.items() if v == dp][0]
+ return c + d
+
+def playfair_bigrams(text, padding_letter='x', padding_replaces_repeat=True):
+ """Find all the bigrams in a method to be enciphered.
+
+ If both letters are the same, the `padding_letter` is used instead of the
+ second letter. If `padding_replaces_repeat` is `True`, the `padding_letter`
+ replaces the second letter of the bigram. If `padding_replaces_repeat` is
+ `False`, the second letter of this bigram becomes the first letter of the
+ next, effectively lengthening the message by one letter.
+ """
+ i = 0
+ bigrams = []
+ while i < len(text):
+ bigram = text[i:i+2]
+ if len(bigram) == 1:
+ i = len(text) + 1
+ bigram = bigram + padding_letter
+ else:
+ if bigram[0] == bigram[1]:
+ bigram = bigram[0] + padding_letter
+ if padding_replaces_repeat:
+ i += 2
+ else:
+ i += 1
+ else:
+ i += 2
+ bigrams += [bigram]
+ return bigrams
+
+def playfair_encipher(message, keyword, padding_letter='x',
+ padding_replaces_repeat=False, letters_to_merge=None,
+ wrap_alphabet=KeywordWrapAlphabet.from_a):
+ """Encipher a message using the Playfair cipher."""
+ column_order = list(range(5))
+ row_order = list(range(5))
+ if letters_to_merge is None:
+ letters_to_merge = {'j': 'i'}
+ grid = polybius_grid(keyword, column_order, row_order,
+ letters_to_merge=letters_to_merge,
+ wrap_alphabet=wrap_alphabet)
+ message_bigrams = playfair_bigrams(
+ sanitise(message), padding_letter=padding_letter,
+ padding_replaces_repeat=padding_replaces_repeat)
+ ciphertext_bigrams = [playfair_encipher_bigram(b, grid, padding_letter=padding_letter) for b in message_bigrams]
+ return cat(ciphertext_bigrams)
+
+def playfair_decipher(message, keyword, padding_letter='x',
+ padding_replaces_repeat=False, letters_to_merge=None,
+ wrap_alphabet=KeywordWrapAlphabet.from_a):
+ """Decipher a message using the Playfair cipher."""
+ column_order = list(range(5))
+ row_order = list(range(5))
+ if letters_to_merge is None:
+ letters_to_merge = {'j': 'i'}
+ grid = polybius_grid(keyword, column_order, row_order,
+ letters_to_merge=letters_to_merge,
+ wrap_alphabet=wrap_alphabet)
+ message_bigrams = playfair_bigrams(
+ sanitise(message), padding_letter=padding_letter,
+ padding_replaces_repeat=padding_replaces_repeat)
+ plaintext_bigrams = [playfair_decipher_bigram(b, grid, padding_letter=padding_letter) for b in message_bigrams]
+ return cat(plaintext_bigrams)
+
+def playfair_break(message,
+ letters_to_merge=None, padding_letter='x',
+ wordlist=keywords, fitness=Pletters,
+ number_of_solutions=1, chunksize=500):
+ """Break a message enciphered using the Playfair cipher, using a dictionary
+ of keywords and frequency analysis.
+
+ If `wordlist` is not specified, use
+ [`szyfrow.support.langauge_models.keywords`](support/language_models.html#szyfrow.support.language_models.keywords).
+ """
+
+ if letters_to_merge is None:
+ letters_to_merge = {'j': 'i'}
+
+ with multiprocessing.Pool() as pool:
+ helper_args = [(message, word, wrap,
+ letters_to_merge, padding_letter,
+ pad_replace,
+ fitness)
+ for word in wordlist
+ for wrap in KeywordWrapAlphabet
+ for pad_replace in [False, True]]
+ # Gotcha: the helper function here needs to be defined at the top level
+ # (limitation of Pool.starmap)
+ breaks = pool.starmap(playfair_break_worker, helper_args, chunksize)
+ if number_of_solutions == 1:
+ return max(breaks, key=lambda k: k[1])
+ else:
+ return sorted(breaks, key=lambda k: k[1], reverse=True)[:number_of_solutions]
+
+def playfair_break_worker(message, keyword, wrap,
+ letters_to_merge, padding_letter,
+ pad_replace,
+ fitness):
+ plaintext = playfair_decipher(message, keyword, padding_letter,
+ pad_replace,
+ letters_to_merge,
+ wrap)
+ if plaintext:
+ fit = fitness(plaintext)
+ else:
+ fit = float('-inf')
+ return (keyword, wrap, letters_to_merge, padding_letter, pad_replace), fit
+
+def playfair_simulated_annealing_break(message, workers=10,
+ initial_temperature=200,
+ max_iterations=20000,
+ plain_alphabet=None,
+ cipher_alphabet=None,
+ fitness=Pletters, chunksize=1):
+ """Break a message enciphered using the Playfair cipher, using simulated
+ annealing to determine the keyword. This function just sets up a stable
+ of workers who do the actual work, implemented as
+ `szyfrow.playfair.playfair_simulated_annealing_break_worker`.
+
+ See a [post on simulated annealing](https://work.njae.me.uk/2019/07/08/simulated-annealing-and-breaking-substitution-ciphers/)
+ for detail on how this works.
+ """
+ worker_args = []
+ ciphertext = sanitise(message)
+ for i in range(workers):
+ if plain_alphabet is None:
+ used_plain_alphabet = string.ascii_lowercase
+ else:
+ used_plain_alphabet = plain_alphabet
+ if cipher_alphabet is None:
+ # used_cipher_alphabet = list(string.ascii_lowercase)
+ # random.shuffle(used_cipher_alphabet)
+ # used_cipher_alphabet = cat(used_cipher_alphabet)
+ used_cipher_alphabet = random.choice(keywords)
+ else:
+ used_cipher_alphabet = cipher_alphabet
+ worker_args.append((ciphertext, used_plain_alphabet, used_cipher_alphabet,
+ initial_temperature, max_iterations, fitness))
+ with multiprocessing.Pool() as pool:
+ breaks = pool.starmap(playfair_simulated_annealing_break_worker,
+ worker_args, chunksize)
+ return max(breaks, key=lambda k: k[1])
+
+def playfair_simulated_annealing_break_worker(message, plain_alphabet, cipher_alphabet,
+ t0, max_iterations, fitness):
+ """One thread of a simulated annealing run.
+ See a [post on simulated annealing](https://work.njae.me.uk/2019/07/08/simulated-annealing-and-breaking-substitution-ciphers/)
+ for detail on how this works.
+ """
+ def swap(letters, i, j):
+ if i > j:
+ i, j = j, i
+ if i == j:
+ return letters
+ else:
+ return (letters[:i] + letters[j] + letters[i+1:j] + letters[i] +
+ letters[j+1:])
+
+ temperature = t0
+
+ dt = t0 / (0.9 * max_iterations)
+
+ current_alphabet = cipher_alphabet
+ current_wrap = KeywordWrapAlphabet.from_a
+ current_letters_to_merge = {'j': 'i'}
+ current_pad_replace = False
+ current_padding_letter = 'x'
+
+ alphabet = current_alphabet
+ wrap = current_wrap
+ letters_to_merge = current_letters_to_merge
+ pad_replace = current_pad_replace
+ padding_letter = current_padding_letter
+ plaintext = playfair_decipher(message, alphabet, padding_letter,
+ pad_replace,
+ letters_to_merge,
+ wrap)
+ current_fitness = fitness(plaintext)
+
+ best_alphabet = current_alphabet
+ best_fitness = current_fitness
+ best_plaintext = plaintext
+
+ # print('starting for', max_iterations)
+ for i in range(max_iterations):
+ chosen = random.random()
+ # if chosen < 0.7:
+ # swap_a = random.randrange(26)
+ # swap_b = (swap_a + int(random.gauss(0, 4))) % 26
+ # alphabet = swap(current_alphabet, swap_a, swap_b)
+ # elif chosen < 0.8:
+ # wrap = random.choice(list(KeywordWrapAlphabet))
+ # elif chosen < 0.9:
+ # pad_replace = random.choice([True, False])
+ # elif chosen < 0.95:
+ # letter_from = random.choice(string.ascii_lowercase)
+ # letter_to = random.choice([c for c in string.ascii_lowercase if c != letter_from])
+ # letters_to_merge = {letter_from: letter_to}
+ # else:
+ # padding_letter = random.choice(string.ascii_lowercase)
+ if chosen < 0.7:
+ swap_a = random.randrange(len(current_alphabet))
+ swap_b = (swap_a + int(random.gauss(0, 4))) % len(current_alphabet)
+ alphabet = swap(current_alphabet, swap_a, swap_b)
+ elif chosen < 0.85:
+ new_letter = random.choice(string.ascii_lowercase)
+ alphabet = swap(current_alphabet + new_letter, random.randrange(len(current_alphabet)), len(current_alphabet))
+ else:
+ if len(current_alphabet) > 1:
+ deletion_position = random.randrange(len(current_alphabet))
+ alphabet = current_alphabet[:deletion_position] + current_alphabet[deletion_position+1:]
+ else:
+ alphabet = current_alphabet
+
+ try:
+ plaintext = playfair_decipher(message, alphabet, padding_letter,
+ pad_replace,
+ letters_to_merge,
+ wrap)
+ except:
+ print("Error", alphabet, padding_letter,
+ pad_replace,
+ letters_to_merge,
+ wrap)
+ raise
+
+ 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_alphabet = alphabet
+ current_wrap = wrap
+ current_letters_to_merge = letters_to_merge
+ current_pad_replace = pad_replace
+ current_padding_letter = padding_letter
+
+ if current_fitness > best_fitness:
+ best_alphabet = current_alphabet
+ best_wrap = current_wrap
+ best_letters_to_merge = current_letters_to_merge
+ best_pad_replace = current_pad_replace
+ best_padding_letter = current_padding_letter
+ best_fitness = current_fitness
+ best_plaintext = plaintext
+ temperature = max(temperature - dt, 0.001)
+
+ return { 'alphabet': best_alphabet
+ , 'wrap': best_wrap
+ , 'letters_to_merge': best_letters_to_merge
+ , 'pad_replace': best_pad_replace
+ , 'padding_letter': best_padding_letter
+ }, best_fitness # current_alphabet, current_fitness</code></pre>
+</details>
+</section>
+<section>
+</section>
+<section>
+</section>
+<section>
+<h2 class="section-title" id="header-functions">Functions</h2>
+<dl>
+<dt id="szyfrow.playfair.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.playfair.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.playfair.playfair_bigrams"><code class="name flex">
+<span>def <span class="ident">playfair_bigrams</span></span>(<span>text, padding_letter='x', padding_replaces_repeat=True)</span>
+</code></dt>
+<dd>
+<div class="desc"><p>Find all the bigrams in a method to be enciphered. </p>
+<p>If both letters are the same, the <code>padding_letter</code> is used instead of the
+second letter. If <code>padding_replaces_repeat</code> is <code>True</code>, the <code>padding_letter</code>
+replaces the second letter of the bigram. If <code>padding_replaces_repeat</code> is
+<code>False</code>, the second letter of this bigram becomes the first letter of the
+next, effectively lengthening the message by one letter.</p></div>
+<details class="source">
+<summary>
+<span>Expand source code</span>
+</summary>
+<pre><code class="python">def playfair_bigrams(text, padding_letter='x', padding_replaces_repeat=True):
+ """Find all the bigrams in a method to be enciphered.
+
+ If both letters are the same, the `padding_letter` is used instead of the
+ second letter. If `padding_replaces_repeat` is `True`, the `padding_letter`
+ replaces the second letter of the bigram. If `padding_replaces_repeat` is
+ `False`, the second letter of this bigram becomes the first letter of the
+ next, effectively lengthening the message by one letter.
+ """
+ i = 0
+ bigrams = []
+ while i < len(text):
+ bigram = text[i:i+2]
+ if len(bigram) == 1:
+ i = len(text) + 1
+ bigram = bigram + padding_letter
+ else:
+ if bigram[0] == bigram[1]:
+ bigram = bigram[0] + padding_letter
+ if padding_replaces_repeat:
+ i += 2
+ else:
+ i += 1
+ else:
+ i += 2
+ bigrams += [bigram]
+ return bigrams</code></pre>
+</details>
+</dd>
+<dt id="szyfrow.playfair.playfair_break"><code class="name flex">
+<span>def <span class="ident">playfair_break</span></span>(<span>message, letters_to_merge=None, padding_letter='x', wordlist=['a', 'b', 'c', 'd', 'e', 'f', 'g', 'h', 'i', 'j', 'k', 'l', 'm', 'n', 'o', 'p', 'q', 'r', 's', 't', 'u', 'v', 'w', 'x', 'y', 'z', 'ac', 'ad', 'ag', 'ah', 'ak', 'al', 'am', 'an', 'ap', 'ar', 'as', 'at', 'au', 'av', 'ax', 'ay', 'az', 'ba', 'be', 'bi', 'bk', 'bp', 'br', 'bs', 'by', 'ca', 'cb', 'cd', 'cf', 'ci', 'cl', 'cm', 'co', 'cr', 'cs', 'ct', 'cu', 'cz', 'db', 'dc', 'de', 'di', 'do', 'dr', 'ds', 'du', 'ed', 'eg', 'eh', 'el', 'em', 'en', 'er', 'es', 'et', 'eu', 'ex', 'fa', 'fe', 'fl', 'fm', 'fr', 'fs', 'ft', 'ga', 'gd', 'ge', 'gm', 'go', 'gs', 'gu', 'ha', 'he', 'hf', 'hg', 'hi', 'hm', 'ho', 'hs', 'hz', 'ia', 'id', 'ie', 'if', 'ii', 'il', 'im', 'in', 'io', 'iq', 'ir', 'is', 'it', 'iv', 'ix', 'jo', 'jr', 'js', 'kc', 'kr', 'ks', 'ku', 'kw', 'ky', 'la', 'le', 'li', 'ln', 'lo', 'lr', 'ls', 'lt', 'lu', 'ma', 'mb', 'md', 'me', 'mg', 'mi', 'mn', 'mo', 'mr', 'ms', 'mt', 'mu', 'my', 'na', 'nb', 'nc', 'nd', 'ne', 'nh', 'ni', 'nj', 'nm', 'no', 'np', 'ns', 'nu', 'nv', 'nw', 'ny', 'ob', 'of', 'oh', 'ok', 'on', 'or', 'os', 'ow', 'ox', 'oz', 'pa', 'pb', 'pd', 'pe', 'ph', 'pi', 'pl', 'pm', 'po', 'pr', 'ps', 'pt', 'pu', 'qs', 'ra', 'rb', 'rd', 're', 'rh', 'ri', 'rn', 'rs', 'ru', 'rx', 'sa', 'sb', 'sc', 'sd', 'se', 'sh', 'si', 'sm', 'sn', 'so', 'sq', 'sr', 'ss', 'st', 'sw', 'ta', 'tb', 'tc', 'th', 'ti', 'tl', 'tm', 'tn', 'to', 'ts', 'tv', 'tx', 'ty', 'uh', 'uk', 'um', 'un', 'up', 'ur', 'us', 'ut', 'va', 'vi', 'vs', 'vt', 'wa', 'we', 'wi', 'wm', 'ws', 'wu', 'wv', 'wy', 'xe', 'xi', 'xs', 'yb', 'ye', 'yo', 'ys', 'zn', 'zr', 'zs', 'aaa', 'aas', 'aau', 'aba', 'abb', 'abc', 'abe', 'abo', 'abs', 'ace', 'acm', 'acs', 'act', 'ada', 'add', 'ado', 'ads', 'adz', 'aft', 'age', 'ago', 'ags', 'aha', 'aid', 'ail', 'aim', 'air', 'ais', 'ala', 'alb', 'ale', 'ali', 'all', 'alp', 'als', 'ama', 'ami', 'amp', 'ams', 'amy', 'ana', 'and', 'ani', 'ann', 'ant', 'any', 'aol', 'ape', 'apr', 'aps', 'apt', 'ara', 'arc', 'are', 'ark', 'arm', 'ars', 'art', 'ash', 'ask', 'asp', 'ass', 'ate', 'ats', 'att', 'aug', 'auk', 'aus', 'ava', 'ave', 'avs', 'awe', 'awl', 'awn', 'axe', 'axs', 'aye', 'ays', 'azs', 'baa', 'bad', 'bag', 'bah', 'bam', 'ban', 'bar', 'bas', 'bat', 'bay', 'bbs', 'bcs', 'bed', 'bee', 'beg', 'bel', 'ben', 'bes', 'bet', 'bey', 'bib', 'bic', 'bid', 'big', 'bin', 'bis', 'bit', 'biz', 'bks', 'blu', 'bms', 'bmw', 'boa', 'bob', 'bog', 'bon', 'boo', 'bop', 'bow', 'box', 'boy', 'bra', 'brr', 'brs', 'bss', 'btl', 'btu', 'bub', 'bud', 'bug', 'bum', 'bun', 'bur', 'bus', 'but', 'buy', 'bye', 'bys', 'cab', 'cad', 'caf', 'cal', 'cam', 'can', 'cap', 'car', 'cas', 'cat', 'caw', 'cbs', 'cdc', 'cdr', 'cds', 'ceq', 'cfs', 'che', 'chi', 'cia', 'cid', 'cit', 'cls', 'cms', 'cob', 'cod', 'cog', 'col', 'com', 'con', 'coo', 'cop', 'cos', 'cot', 'cow', 'cox', 'coy', 'cpa', 'cpu', 'crs', 'crt', 'cry', 'cts', 'cub', 'cud', 'cue', 'cup', 'cur', 'cus', 'cut', 'dab', 'dad', 'dam', 'dan', 'dar', 'das', 'day', 'dcs', 'dds', 'deb', 'dec', 'dee', 'del', 'dem', 'den', 'des', 'dew', 'dey', 'did', 'die', 'dig', 'dim', 'din', 'dip', 'dis', 'dix', 'dna', 'doc', 'dod', 'doe', 'dog', 'don', 'dos', 'dot', 'dow', 'dps', 'dry', 'dub', 'dud', 'due', 'dug', 'duh', 'dun', 'duo', 'dye', 'ear', 'eat', 'ebb', 'eco', 'eds', 'edt', 'eel', 'eer', 'eft', 'egg', 'ego', 'eke', 'elf', 'eli', 'elk', 'ell', 'elm', 'ely', 'ems', 'emu', 'end', 'eng', 'eon', 'epa', 'era', 'ere', 'erg', 'err', 'ers', 'esq', 'est', 'eta', 'etc', 'eus', 'eva', 'eve', 'ewe', 'exs', 'eye', 'faa', 'fad', 'fag', 'fan', 'far', 'fas', 'fat', 'fax', 'fay', 'fbi', 'fcc', 'fda', 'fdr', 'feb', 'fed', 'fee', 'fen', 'fer', 'fes', 'few', 'fey', 'fez', 'fib', 'fie', 'fig', 'fin', 'fir', 'fit', 'fix', 'fla', 'flo', 'flu', 'fly', 'fmc', 'fms', 'fob', 'foe', 'fog', 'fop', 'for', 'fox', 'fpc', 'fri', 'fro', 'frs', 'fry', 'ftc', 'fte', 'fum', 'fun', 'fur', 'gab', 'gad', 'gag', 'gal', 'gam', 'gao', 'gap', 'gar', 'gas', 'gay', 'gcd', 'gds', 'gee', 'gel', 'gem', 'gen', 'geo', 'ger', 'ges', 'get', 'gig', 'gil', 'gin', 'gmt', 'gnp', 'gnu', 'goa', 'gob', 'god', 'gog', 'goo', 'gop', 'gos', 'got', 'gpo', 'gps', 'gsa', 'gte', 'gum', 'gun', 'gus', 'gut', 'guy', 'gym', 'gyp', 'had', 'hag', 'hah', 'hal', 'ham', 'han', 'hap', 'has', 'hat', 'haw', 'hay', 'hed', 'hem', 'hen', 'hep', 'her', 'hes', 'hew', 'hex', 'hey', 'hfs', 'hgs', 'hid', 'hie', 'him', 'hip', 'his', 'hit', 'hob', 'hoc', 'hod', 'hoe', 'hog', 'hoi', 'hom', 'hon', 'hop', 'hos', 'hot', 'how', 'hoy', 'hps', 'hqs', 'hub', 'hue', 'hug', 'huh', 'hui', 'hum', 'hun', 'hus', 'hut', 'hzs', 'ian', 'ibm', 'ibn', 'ibo', 'icc', 'ice', 'icy', 'ida', 'ids', 'ifs', 'iii', 'ike', 'ila', 'ilk', 'ill', 'imp', 'ina', 'inc', 'ind', 'ing', 'ink', 'inn', 'ins', 'ion', 'ios', 'iqs', 'ira', 'ire', 'irk', 'irs', 'ism', 'itd', 'ito', 'its', 'itt', 'iva', 'ive', 'ivs', 'ivy', 'jab', 'jag', 'jam', 'jan', 'jar', 'jaw', 'jay', 'jed', 'jet', 'jew', 'jfk', 'jib', 'jig', 'jim', 'job', 'joe', 'jog', 'jon', 'jos', 'jot', 'joy', 'jrs', 'jug', 'jul', 'jun', 'jut', 'kay', 'keg', 'ken', 'key', 'kfc', 'khz', 'kid', 'kim', 'kin', 'kip', 'kit', 'kln', 'krs', 'lab', 'lac', 'lad', 'lag', 'lam', 'lan', 'lao', 'lap', 'las', 'law', 'lax', 'lay', 'lbj', 'lea', 'led', 'lee', 'leg', 'lei', 'len', 'leo', 'les', 'let', 'lev', 'lew', 'lib', 'lid', 'lie', 'lim', 'lin', 'lip', 'lis', 'lit', 'liz', 'lob', 'log', 'lon', 'lop', 'los', 'lot', 'lou', 'low', 'lox', 'loy', 'lsi', 'ltd', 'ltv', 'lug', 'lus', 'lux', 'luz', 'lye', 'lyx', 'mac', 'mad', 'mae', 'mai', 'maj', 'man', 'mao', 'map', 'mar', 'mas', 'mat', 'maw', 'max', 'may', 'mba', 'mbs', 'mci', 'mds', 'meg', 'mel', 'men', 'mes', 'met', 'mew', 'mgm', 'mgs', 'mhz', 'mia', 'mid', 'mig', 'mil', 'min', 'mir', 'mis', 'mit', 'mix', 'mle', 'mns', 'mob', 'mod', 'moe', 'mom', 'mon', 'moo', 'mop', 'mos', 'mot', 'mow', 'mph', 'mps', 'mrs', 'mss', 'mts', 'mud', 'mug', 'mum', 'mys', 'nab', 'nag', 'nam', 'nan', 'nap', 'nas', 'nat', 'nay', 'nbc', 'nbs', 'ncc', 'nco', 'ncr', 'nds', 'ned', 'nee', 'nes', 'net', 'nev', 'new', 'nib', 'nih', 'nil', 'nip', 'nit', 'nix', 'nne', 'nnw', 'nob', 'nod', 'noe', 'noh', 'non', 'nor', 'nos', 'not', 'nov', 'now', 'nps', 'nrc', 'nsf', 'nth', 'nub', 'nun', 'nut', 'nws', 'nyc', 'nyu', 'oaf', 'oak', 'oar', 'oat', 'obs', 'oct', 'odd', 'ode', 'ods', 'oer', 'off', 'oft', 'ohm', 'oho', 'ohs', 'oil', 'oks', 'ola', 'old', 'one', 'ono', 'opt', 'ora', 'orb', 'ore', 'orr', 'ors', 'ott', 'our', 'out', 'ova', 'owe', 'owl', 'own', 'oxs', 'pad', 'pal', 'pam', 'pan', 'pap', 'par', 'pas', 'pat', 'paw', 'pax', 'pay', 'paz', 'pbs', 'pcs', 'pdp', 'pds', 'pea', 'pee', 'peg', 'pei', 'pen', 'pep', 'per', 'pes', 'pet', 'pew', 'phd', 'phi', 'pie', 'pig', 'pin', 'pip', 'pis', 'pit', 'pjs', 'ply', 'pms', 'pod', 'poe', 'poi', 'pol', 'pop', 'pos', 'pot', 'pow', 'pox', 'ppm', 'pro', 'pry', 'psi', 'pss', 'pta', 'pts', 'pub', 'puc', 'pug', 'pun', 'pup', 'pus', 'put', 'pvc', 'pym', 'pyx', 'qed', 'qom', 'qua', 'quo', 'rae', 'rag', 'raj', 'ram', 'ran', 'rap', 'ras', 'rat', 'raw', 'ray', 'rbs', 'rca', 'reb', 'red', 'ref', 'rep', 'res', 'ret', 'rev', 'rex', 'rho', 'rhs', 'rib', 'rid', 'rig', 'rim', 'rio', 'rip', 'rna', 'rns', 'rob', 'rod', 'roe', 'ron', 'rot', 'rou', 'row', 'roy', 'rpm', 'rte', 'rub', 'rue', 'rug', 'rum', 'run', 'rus', 'rut', 'rvs', 'rye', 'sac', 'sad', 'sag', 'sal', 'sam', 'san', 'sao', 'sap', 'sat', 'saw', 'sax', 'say', 'sbs', 'sci', 'scm', 'scs', 'sea', 'sec', 'see', 'sen', 'seq', 'ses', 'set', 'sew', 'sex', 'sgt', 'she', 'shu', 'shy', 'sib', 'sic', 'sid', 'sin', 'sip', 'sir', 'sis', 'sit', 'six', 'ski', 'sky', 'sly', 'sms', 'sns', 'sob', 'soc', 'sod', 'sol', 'son', 'sop', 'sos', 'sot', 'sou', 'sow', 'sox', 'soy', 'spa', 'spy', 'sri', 'srs', 'sse', 'sst', 'ssw', 'stu', 'sty', 'sub', 'sud', 'sue', 'sui', 'sum', 'sun', 'sup', 'sus', 'sws', 'tab', 'tad', 'tag', 'tam', 'tan', 'tao', 'tap', 'tar', 'tas', 'tat', 'tau', 'tax', 'tbs', 'tcs', 'tea', 'ted', 'tee', 'tel', 'ten', 'tet', 'tex', 'the', 'tho', 'ths', 'thx', 'thy', 'tia', 'tic', 'tid', 'tie', 'til', 'tim', 'tin', 'tip', 'tis', 'tit', 'tls', 'tms', 'tnt', 'tod', 'toe', 'tog', 'tom', 'ton', 'too', 'top', 'tor', 'tot', 'tow', 'toy', 'trw', 'try', 'ttl', 'tty', 'tub', 'tug', 'tum', 'tun', 'tut', 'tux', 'tva', 'tvs', 'twa', 'two', 'twx', 'tys', 'ubs', 'ufa', 'ugh', 'uhf', 'uks', 'ump', 'uns', 'ups', 'uri', 'urn', 'usa', 'usc', 'use', 'usn', 'uss', 'ute', 'uts', 'uvs', 'uzi', 'val', 'van', 'vat', 'vds', 'vee', 'vet', 'vex', 'vhf', 'via', 'vic', 'vie', 'vii', 'vim', 'vis', 'viz', 'von', 'vow', 'wac', 'wad', 'wag', 'wah', 'wan', 'war', 'was', 'wax', 'way', 'web', 'wed', 'wee', 'wei', 'wen', 'wet', 'who', 'why', 'wig', 'wii', 'win', 'wis', 'wit', 'wiz', 'wms', 'woe', 'wok', 'won', 'woo', 'wop', 'wot', 'wow', 'wry', 'wus', 'wyo', 'xes', 'xls', 'yah', 'yak', 'yam', 'yap', 'yaw', 'ybs', 'yea', 'yen', 'yep', 'yes', 'yet', 'yew', 'yin', 'yip', 'yon', 'you', 'yow', 'yuh', 'yuk', 'yum', 'yup', 'zag', 'zan', 'zap', 'zed', 'zen', 'zig', 'zip', 'zit', 'zns', 'zoe', 'zoo', 'zrs', 'aaas', 'abbe', 'abbs', 'abby', 'abed', 'abel', 'abes', 'abet', 'able', 'ably', 'abms', 'abut', 'aced', 'aces', 'ache', 'achy', 'acid', 'acme', 'acne', 'acre', 'acts', 'adam', 'adan', 'adar', 'adas', 'adds', 'aden', 'adis', 'ados', 'adze', 'adzs', 'aeon', 'aery', 'afar', 'afro', 'agar', 'aged', 'agee', 'ager', 'ages', 'agni', 'agog', 'agra', 'ague', 'ahab', 'ahem', 'ahoy', 'aida', 'aide', 'aids', 'aile', 'ails', 'aims', 'aint', 'ainu', 'airs', 'airy', 'ajar', 'ajax', 'akin', 'alai', 'alan', 'alar', 'alas', 'alba', 'albs', 'aldo', 'alec', 'alee', 'ales', 'alex', 'alga', 'alia', 'alit', 'alls', 'ally', 'alma', 'alms', 'aloe', 'alpo', 'alps', 'also', 'alta', 'alto', 'alum', 'alva', 'amen', 'ames', 'amid', 'amie', 'amir', 'ammo', 'amok', 'amos', 'amps', 'amra', 'amur', 'amyl', 'amys', 'anal', 'anas', 'andy', 'anew', 'ankh', 'anna', 'anne', 'anns', 'anon', 'ansi', 'ante', 'anti', 'ants', 'anus', 'aols', 'aped', 'apes', 'apex', 'apia', 'aprs', 'apse', 'aqua', 'arab', 'aral', 'aras', 'arch', 'arcs', 'area', 'ares', 'argo', 'aria', 'arid', 'ariz', 'arks', 'arms', 'army', 'arno', 'aron', 'arpa', 'arse', 'arts', 'arty', 'arum', 'aryl', 'ashe', 'ashs', 'ashy', 'asia', 'asks', 'asls', 'asps', 'asss', 'astm', 'atms', 'atom', 'atop', 'atps', 'audi', 'augs', 'auks', 'aunt', 'aura', 'auto', 'avas', 'aver', 'avid', 'avis', 'aviv', 'avon', 'avow', 'away', 'awed', 'awes', 'awls', 'awol', 'awry', 'axed', 'axer', 'axes', 'axis', 'axle', 'axon', 'axum', 'ayes', 'azov', 'azts', 'baal', 'baas', 'babe', 'baby', 'bach', 'back', 'bade', 'bads', 'baez', 'bags', 'bail', 'bait', 'bake', 'baku', 'bald', 'bale', 'bali', 'balk', 'ball', 'balm', 'band', 'bane', 'bang', 'bani', 'bank', 'bans', 'barb', 'bard', 'bare', 'barf', 'bark', 'barn', 'barr', 'bars', 'bart', 'base', 'bash', 'bask', 'bass', 'bast', 'bate', 'bath', 'bats', 'batt', 'batu', 'baud', 'baum', 'bawd', 'bawl', 'bays', 'bead', 'beak', 'beam', 'bean', 'bear', 'beat', 'beau', 'beck', 'bede', 'beds', 'beef', 'been', 'beep', 'beer', 'bees', 'beet', 'begs', 'bela', 'bell', 'belt', 'bely', 'bema', 'bend', 'bens', 'bent', 'benz', 'berg', 'berm', 'bern', 'bert', 'bess', 'best', 'beta', 'beth', 'bets', 'bevy', 'bhoy', 'bias', 'bibb', 'bibs', 'bics', 'bide', 'bids', 'bien', 'bier', 'bike', 'biko', 'bile', 'bilk', 'bill', 'bind', 'bing', 'bini', 'bins', 'bird', 'biro', 'bite', 'bits', 'bitt', 'blab', 'blah', 'blas', 'blat', 'bled', 'blew', 'blip', 'blob', 'bloc', 'blog', 'blot', 'blow', 'blts', 'blue', 'blum', 'blur', 'blvd', 'bmws', 'boar', 'boas', 'boat', 'bobs', 'boca', 'bock', 'bode', 'body', 'boer', 'bogs', 'bogy', 'bohr', 'boil', 'bois', 'bola', 'bold', 'bole', 'boll', 'bolo', 'bolt', 'bomb', 'bona', 'bond', 'bone', 'bong', 'bonn', 'bono', 'bony', 'boob', 'book', 'boom', 'boon', 'boor', 'boos', 'boot', 'bops', 'bore', 'borg', 'bork', 'born', 'boru', 'bose', 'bosh', 'bosn', 'boss', 'both', 'bout', 'bowl', 'bows', 'boxs', 'boxy', 'boyd', 'boys', 'bozo', 'brad', 'brae', 'brag', 'bran', 'bras', 'brat', 'bray', 'bred', 'bret', 'brew', 'brie', 'brig', 'brim', 'brit', 'brno', 'brow', 'brut', 'bryn', 'bstj', 'btus', 'buck', 'budd', 'buds', 'buff', 'bugs', 'bulb', 'bulk', 'bull', 'bump', 'bums', 'bung', 'bunk', 'buns', 'bunt', 'buoy', 'burg', 'burl', 'burn', 'burp', 'burr', 'burs', 'burt', 'bury', 'bush', 'buss', 'bust', 'busy', 'buts', 'butt', 'buys', 'buzz', 'byes', 'byrd', 'byte', 'cabs', 'cacm', 'cads', 'cady', 'cafe', 'cafs', 'cage', 'cagy', 'cain', 'cake', 'calf', 'cali', 'calk', 'call', 'calm', 'came', 'camp', 'cams', 'cane', 'cans', 'cant', 'cape', 'caph', 'capo', 'caps', 'capt', 'cara', 'card', 'care', 'carl', 'carp', 'carr', 'cars', 'cart', 'cary', 'case', 'cash', 'cask', 'cast', 'cato', 'cats', 'catt', 'catv', 'cave', 'caws', 'ccny', 'cebu', 'cede', 'ceil', 'cell', 'celt', 'cent', 'ceos', 'cerf', 'cern', 'cfcs', 'chad', 'chan', 'chao', 'chap', 'char', 'chat', 'chaw', 'chef', 'chen', 'ches', 'chew', 'chic', 'chid', 'chin', 'chip', 'chis', 'chit', 'chop', 'chou', 'chow', 'chub', 'chug', 'chum', 'cias', 'cite', 'city', 'clad', 'clam', 'clan', 'clap', 'clat', 'claw', 'clay', 'clef', 'clem', 'cleo', 'clew', 'clio', 'clip', 'clod', 'clog', 'clop', 'clot', 'cloy', 'club', 'clue', 'cluj', 'coal', 'coat', 'coax', 'cobb', 'cobs', 'coca', 'cock', 'coco', 'coda', 'code', 'cods', 'cody', 'coed', 'cogs', 'cohn', 'coif', 'coil', 'coin', 'coke', 'cola', 'cold', 'cole', 'colo', 'cols', 'colt', 'coma', 'comb', 'come', 'como', 'cone', 'cong', 'conk', 'conn', 'cons', 'cony', 'cook', 'cool', 'coon', 'coop', 'coos', 'coot', 'cope', 'cops', 'copy', 'cora', 'cord', 'core', 'cork', 'corm', 'corn', 'corp', 'cory', 'cosh', 'cost', 'cosy', 'cote', 'cots', 'coup', 'cove', 'cowl', 'cows', 'coys', 'cozy', 'cpas', 'cpis', 'cprs', 'cpus', 'crab', 'crag', 'cram', 'crap', 'craw', 'cray', 'cree', 'crew', 'crib', 'crop', 'crow', 'crts', 'crud', 'crux', 'cruz', 'crys', 'csts', 'cuba', 'cube', 'cubs', 'cuds', 'cued', 'cues', 'cuff', 'cull', 'cult', 'cums', 'cunt', 'cuny', 'cups', 'curb', 'curd', 'cure', 'curl', 'curs', 'curt', 'cusp', 'cuss', 'cute', 'cuts', 'cyst', 'czar', 'dabs', 'dada', 'dade', 'dado', 'dads', 'daft', 'dahl', 'dais', 'dale', 'dali', 'daly', 'dame', 'damn', 'damp', 'dams', 'dana', 'dane', 'dang', 'dank', 'dare', 'dark', 'darn', 'dart', 'dash', 'data', 'date', 'dats', 'daub', 'dave', 'davy', 'dawn', 'days', 'daze', 'ddss', 'dead', 'deaf', 'deal', 'dean', 'dear', 'debs', 'debt', 'deck', 'decs', 'deed', 'deem', 'deep', 'deer', 'deft', 'defy', 'deja', 'deli', 'dell', 'demo', 'dena', 'deng', 'dens', 'dent', 'deny', 'deon', 'depp', 'desk', 'deus', 'devi', 'dews', 'dewy', 'dial', 'diaz', 'dice', 'dick', 'dido', 'died', 'diem', 'dies', 'diet', 'digs', 'dike', 'dill', 'dime', 'dims', 'dina', 'dine', 'ding', 'dino', 'dins', 'dint', 'dion', 'dior', 'dips', 'dire', 'dirk', 'dirt', 'disc', 'dish', 'disk', 'diss', 'diva', 'dive', 'dnas', 'dock', 'docs', 'dodd', 'dodo', 'doer', 'does', 'doff', 'doge', 'dogs', 'doha', 'dole', 'doll', 'dolt', 'dome', 'dona', 'done', 'donn', 'dons', 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'parameterizations', 'paraprofessionals', 'particularisation', 'particularization', 'philanthropically', 'plenipotentiaries', 'praiseworthinesss', 'predeterminations', 'presumptuousnesss', 'probabilistically', 'psychotherapeutic', 'rambunctiousnesss', 'reinterpretations', 'reproducibilities', 'semiprofessionals', 'shortsightednesss', 'spectrophotometer', 'spectrophotometry', 'straightforwardly', 'straightjacketing', 'superconductivity', 'telecommunication', 'tintinnabulations', 'transcendentalism', 'transcendentalist', 'ultraconservative', 'uncontrollability', 'understandability', 'unidirectionality', 'unpredictabilitys', 'unreasonablenesss', 'unscrupulousnesss', 'anaesthesiologists', 'antifundamentalist', 'arteriolosclerosis', 'authoritativenesss', 'autosuggestibility', 'characteristically', 'chlorofluorocarbon', 'commercialisations', 'commercializations', 'compartmentalising', 'compartmentalizing', 'comprehensibilitys', 'comprehensivenesss', 'conceptualisations', 'conceptualizations', 'congregationalists', 'conscientiousnesss', 'consequentialities', 'constitutionalitys', 'contradistinctions', 'conversationalists', 'counterrevolutions', 'decriminalisations', 'decriminalizations', 'diethylstilbestrol', 'disenfranchisement', 'disproportionately', 'electrocardiograms', 'electrocardiograph', 'hypersensitivities', 'inconsideratenesss', 'inconspicuousnesss', 'industrialisations', 'industrializations', 'institutionalising', 'institutionalizing', 'interchangeability', 'intercommunicating', 'intercommunication', 'internationalising', 'internationalizing', 'interrelationships', 'misinterpretations', 'misrepresentations', 'oversimplification', 'particularisations', 'particularizations', 'phenomenologically', 'representationally', 'representativeness', 'spectrophotometric', 'superconductivitys', 'telecommunications', 'transcendentalisms', 'transcendentalists', 'transmogrification', 'transubstantiation', 'triphenylphosphine', 'ultraconservatives', 'anthropomorphically', 'chlorofluorocarbons', 'counterintelligence', 'disenfranchisements', 'electrocardiographs', 'incomprehensibility', 'interdenominational', 'nonrepresentational', 'oversimplifications', 'straightforwardness', 'telecommunicationss', 'transubstantiations', 'andrianampoinimerina', 'counterintelligences', 'counterrevolutionary', 'electroencephalogram', 'nondeterministically', 'uncharacteristically', 'andrianampoinimerinas', 'counterrevolutionarys', 'electroencephalograms', 'electroencephalograph', 'immunoelectrophoresis', 'counterrevolutionaries', 'electroencephalographs', 'electroencephalography', 'antidisestablishmentarianism'], fitness=<function Pletters>, number_of_solutions=1, chunksize=500)</span>
+</code></dt>
+<dd>
+<div class="desc"><p>Break a message enciphered using the Playfair cipher, using a dictionary
+of keywords and frequency analysis. </p>
+<p>If <code>wordlist</code> is not specified, use
+<a href="support/language_models.html#szyfrow.support.language_models.keywords"><code>szyfrow.support.langauge_models.keywords</code></a>.</p></div>
+<details class="source">
+<summary>
+<span>Expand source code</span>
+</summary>
+<pre><code class="python">def playfair_break(message,
+ letters_to_merge=None, padding_letter='x',
+ wordlist=keywords, fitness=Pletters,
+ number_of_solutions=1, chunksize=500):
+ """Break a message enciphered using the Playfair cipher, using a dictionary
+ of keywords and frequency analysis.
+
+ If `wordlist` is not specified, use
+ [`szyfrow.support.langauge_models.keywords`](support/language_models.html#szyfrow.support.language_models.keywords).
+ """
+
+ if letters_to_merge is None:
+ letters_to_merge = {'j': 'i'}
+
+ with multiprocessing.Pool() as pool:
+ helper_args = [(message, word, wrap,
+ letters_to_merge, padding_letter,
+ pad_replace,
+ fitness)
+ for word in wordlist
+ for wrap in KeywordWrapAlphabet
+ for pad_replace in [False, True]]
+ # Gotcha: the helper function here needs to be defined at the top level
+ # (limitation of Pool.starmap)
+ breaks = pool.starmap(playfair_break_worker, helper_args, chunksize)
+ if number_of_solutions == 1:
+ return max(breaks, key=lambda k: k[1])
+ else:
+ return sorted(breaks, key=lambda k: k[1], reverse=True)[:number_of_solutions]</code></pre>
+</details>
+</dd>
+<dt id="szyfrow.playfair.playfair_break_worker"><code class="name flex">
+<span>def <span class="ident">playfair_break_worker</span></span>(<span>message, keyword, wrap, letters_to_merge, padding_letter, pad_replace, fitness)</span>
+</code></dt>
+<dd>
+<div class="desc"></div>
+<details class="source">
+<summary>
+<span>Expand source code</span>
+</summary>
+<pre><code class="python">def playfair_break_worker(message, keyword, wrap,
+ letters_to_merge, padding_letter,
+ pad_replace,
+ fitness):
+ plaintext = playfair_decipher(message, keyword, padding_letter,
+ pad_replace,
+ letters_to_merge,
+ wrap)
+ if plaintext:
+ fit = fitness(plaintext)
+ else:
+ fit = float('-inf')
+ return (keyword, wrap, letters_to_merge, padding_letter, pad_replace), fit</code></pre>
+</details>
+</dd>
+<dt id="szyfrow.playfair.playfair_decipher"><code class="name flex">
+<span>def <span class="ident">playfair_decipher</span></span>(<span>message, keyword, padding_letter='x', padding_replaces_repeat=False, letters_to_merge=None, wrap_alphabet=KeywordWrapAlphabet.from_a)</span>
+</code></dt>
+<dd>
+<div class="desc"><p>Decipher a message using the Playfair cipher.</p></div>
+<details class="source">
+<summary>
+<span>Expand source code</span>
+</summary>
+<pre><code class="python">def playfair_decipher(message, keyword, padding_letter='x',
+ padding_replaces_repeat=False, letters_to_merge=None,
+ wrap_alphabet=KeywordWrapAlphabet.from_a):
+ """Decipher a message using the Playfair cipher."""
+ column_order = list(range(5))
+ row_order = list(range(5))
+ if letters_to_merge is None:
+ letters_to_merge = {'j': 'i'}
+ grid = polybius_grid(keyword, column_order, row_order,
+ letters_to_merge=letters_to_merge,
+ wrap_alphabet=wrap_alphabet)
+ message_bigrams = playfair_bigrams(
+ sanitise(message), padding_letter=padding_letter,
+ padding_replaces_repeat=padding_replaces_repeat)
+ plaintext_bigrams = [playfair_decipher_bigram(b, grid, padding_letter=padding_letter) for b in message_bigrams]
+ return cat(plaintext_bigrams)</code></pre>
+</details>
+</dd>
+<dt id="szyfrow.playfair.playfair_decipher_bigram"><code class="name flex">
+<span>def <span class="ident">playfair_decipher_bigram</span></span>(<span>ab, grid, padding_letter='x')</span>
+</code></dt>
+<dd>
+<div class="desc"><p>Decipher a single pair of letters using the Playfair method.</p></div>
+<details class="source">
+<summary>
+<span>Expand source code</span>
+</summary>
+<pre><code class="python">def playfair_decipher_bigram(ab, grid, padding_letter='x'):
+ """Decipher a single pair of letters using the Playfair method."""
+ a, b = ab
+ max_row = max(c[0] for c in grid.values())
+ max_col = max(c[1] for c in grid.values())
+ min_row = min(c[0] for c in grid.values())
+ min_col = min(c[1] for c in grid.values())
+ if a == b:
+ b = padding_letter
+ if grid[a][0] == grid[b][0]: # same row
+ cp = (grid[a][0], playfair_wrap(grid[a][1] - 1, min_col, max_col))
+ dp = (grid[b][0], playfair_wrap(grid[b][1] - 1, min_col, max_col))
+ elif grid[a][1] == grid[b][1]: # same column
+ cp = (playfair_wrap(grid[a][0] - 1, min_row, max_row), grid[a][1])
+ dp = (playfair_wrap(grid[b][0] - 1, min_row, max_row), grid[b][1])
+ else:
+ cp = (grid[a][0], grid[b][1])
+ dp = (grid[b][0], grid[a][1])
+ c = [k for k, v in grid.items() if v == cp][0]
+ d = [k for k, v in grid.items() if v == dp][0]
+ return c + d</code></pre>
+</details>
+</dd>
+<dt id="szyfrow.playfair.playfair_encipher"><code class="name flex">
+<span>def <span class="ident">playfair_encipher</span></span>(<span>message, keyword, padding_letter='x', padding_replaces_repeat=False, letters_to_merge=None, wrap_alphabet=KeywordWrapAlphabet.from_a)</span>
+</code></dt>
+<dd>
+<div class="desc"><p>Encipher a message using the Playfair cipher.</p></div>
+<details class="source">
+<summary>
+<span>Expand source code</span>
+</summary>
+<pre><code class="python">def playfair_encipher(message, keyword, padding_letter='x',
+ padding_replaces_repeat=False, letters_to_merge=None,
+ wrap_alphabet=KeywordWrapAlphabet.from_a):
+ """Encipher a message using the Playfair cipher."""
+ column_order = list(range(5))
+ row_order = list(range(5))
+ if letters_to_merge is None:
+ letters_to_merge = {'j': 'i'}
+ grid = polybius_grid(keyword, column_order, row_order,
+ letters_to_merge=letters_to_merge,
+ wrap_alphabet=wrap_alphabet)
+ message_bigrams = playfair_bigrams(
+ sanitise(message), padding_letter=padding_letter,
+ padding_replaces_repeat=padding_replaces_repeat)
+ ciphertext_bigrams = [playfair_encipher_bigram(b, grid, padding_letter=padding_letter) for b in message_bigrams]
+ return cat(ciphertext_bigrams)</code></pre>
+</details>
+</dd>
+<dt id="szyfrow.playfair.playfair_encipher_bigram"><code class="name flex">
+<span>def <span class="ident">playfair_encipher_bigram</span></span>(<span>ab, grid, padding_letter='x')</span>
+</code></dt>
+<dd>
+<div class="desc"><p>Encipher a single pair of letters using the Playfair method.</p></div>
+<details class="source">
+<summary>
+<span>Expand source code</span>
+</summary>
+<pre><code class="python">def playfair_encipher_bigram(ab, grid, padding_letter='x'):
+ """Encipher a single pair of letters using the Playfair method."""
+ a, b = ab
+ max_row = max(c[0] for c in grid.values())
+ max_col = max(c[1] for c in grid.values())
+ min_row = min(c[0] for c in grid.values())
+ min_col = min(c[1] for c in grid.values())
+ if a == b:
+ b = padding_letter
+ if grid[a][0] == grid[b][0]: # same row
+ cp = (grid[a][0], playfair_wrap(grid[a][1] + 1, min_col, max_col))
+ dp = (grid[b][0], playfair_wrap(grid[b][1] + 1, min_col, max_col))
+ elif grid[a][1] == grid[b][1]: # same column
+ cp = (playfair_wrap(grid[a][0] + 1, min_row, max_row), grid[a][1])
+ dp = (playfair_wrap(grid[b][0] + 1, min_row, max_row), grid[b][1])
+ else:
+ cp = (grid[a][0], grid[b][1])
+ dp = (grid[b][0], grid[a][1])
+ c = [k for k, v in grid.items() if v == cp][0]
+ d = [k for k, v in grid.items() if v == dp][0]
+ return c + d</code></pre>
+</details>
+</dd>
+<dt id="szyfrow.playfair.playfair_simulated_annealing_break"><code class="name flex">
+<span>def <span class="ident">playfair_simulated_annealing_break</span></span>(<span>message, workers=10, initial_temperature=200, max_iterations=20000, plain_alphabet=None, cipher_alphabet=None, fitness=<function Pletters>, chunksize=1)</span>
+</code></dt>
+<dd>
+<div class="desc"><p>Break a message enciphered using the Playfair cipher, using simulated
+annealing to determine the keyword.
+This function just sets up a stable
+of workers who
+do the actual work, implemented as
+<code><a title="szyfrow.playfair.playfair_simulated_annealing_break_worker" href="#szyfrow.playfair.playfair_simulated_annealing_break_worker">playfair_simulated_annealing_break_worker()</a></code>.</p>
+<p>See a <a href="https://work.njae.me.uk/2019/07/08/simulated-annealing-and-breaking-substitution-ciphers/">post on simulated annealing</a>
+for detail on how this works.</p></div>
+<details class="source">
+<summary>
+<span>Expand source code</span>
+</summary>
+<pre><code class="python">def playfair_simulated_annealing_break(message, workers=10,
+ initial_temperature=200,
+ max_iterations=20000,
+ plain_alphabet=None,
+ cipher_alphabet=None,
+ fitness=Pletters, chunksize=1):
+ """Break a message enciphered using the Playfair cipher, using simulated
+ annealing to determine the keyword. This function just sets up a stable
+ of workers who do the actual work, implemented as
+ `szyfrow.playfair.playfair_simulated_annealing_break_worker`.
+
+ See a [post on simulated annealing](https://work.njae.me.uk/2019/07/08/simulated-annealing-and-breaking-substitution-ciphers/)
+ for detail on how this works.
+ """
+ worker_args = []
+ ciphertext = sanitise(message)
+ for i in range(workers):
+ if plain_alphabet is None:
+ used_plain_alphabet = string.ascii_lowercase
+ else:
+ used_plain_alphabet = plain_alphabet
+ if cipher_alphabet is None:
+ # used_cipher_alphabet = list(string.ascii_lowercase)
+ # random.shuffle(used_cipher_alphabet)
+ # used_cipher_alphabet = cat(used_cipher_alphabet)
+ used_cipher_alphabet = random.choice(keywords)
+ else:
+ used_cipher_alphabet = cipher_alphabet
+ worker_args.append((ciphertext, used_plain_alphabet, used_cipher_alphabet,
+ initial_temperature, max_iterations, fitness))
+ with multiprocessing.Pool() as pool:
+ breaks = pool.starmap(playfair_simulated_annealing_break_worker,
+ worker_args, chunksize)
+ return max(breaks, key=lambda k: k[1])</code></pre>
+</details>
+</dd>
+<dt id="szyfrow.playfair.playfair_simulated_annealing_break_worker"><code class="name flex">
+<span>def <span class="ident">playfair_simulated_annealing_break_worker</span></span>(<span>message, plain_alphabet, cipher_alphabet, t0, max_iterations, fitness)</span>
+</code></dt>
+<dd>
+<div class="desc"><p>One thread of a simulated annealing run.
+See a <a href="https://work.njae.me.uk/2019/07/08/simulated-annealing-and-breaking-substitution-ciphers/">post on simulated annealing</a>
+for detail on how this works.</p></div>
+<details class="source">
+<summary>
+<span>Expand source code</span>
+</summary>
+<pre><code class="python">def playfair_simulated_annealing_break_worker(message, plain_alphabet, cipher_alphabet,
+ t0, max_iterations, fitness):
+ """One thread of a simulated annealing run.
+ See a [post on simulated annealing](https://work.njae.me.uk/2019/07/08/simulated-annealing-and-breaking-substitution-ciphers/)
+ for detail on how this works.
+ """
+ def swap(letters, i, j):
+ if i > j:
+ i, j = j, i
+ if i == j:
+ return letters
+ else:
+ return (letters[:i] + letters[j] + letters[i+1:j] + letters[i] +
+ letters[j+1:])
+
+ temperature = t0
+
+ dt = t0 / (0.9 * max_iterations)
+
+ current_alphabet = cipher_alphabet
+ current_wrap = KeywordWrapAlphabet.from_a
+ current_letters_to_merge = {'j': 'i'}
+ current_pad_replace = False
+ current_padding_letter = 'x'
+
+ alphabet = current_alphabet
+ wrap = current_wrap
+ letters_to_merge = current_letters_to_merge
+ pad_replace = current_pad_replace
+ padding_letter = current_padding_letter
+ plaintext = playfair_decipher(message, alphabet, padding_letter,
+ pad_replace,
+ letters_to_merge,
+ wrap)
+ current_fitness = fitness(plaintext)
+
+ best_alphabet = current_alphabet
+ best_fitness = current_fitness
+ best_plaintext = plaintext
+
+ # print('starting for', max_iterations)
+ for i in range(max_iterations):
+ chosen = random.random()
+ # if chosen < 0.7:
+ # swap_a = random.randrange(26)
+ # swap_b = (swap_a + int(random.gauss(0, 4))) % 26
+ # alphabet = swap(current_alphabet, swap_a, swap_b)
+ # elif chosen < 0.8:
+ # wrap = random.choice(list(KeywordWrapAlphabet))
+ # elif chosen < 0.9:
+ # pad_replace = random.choice([True, False])
+ # elif chosen < 0.95:
+ # letter_from = random.choice(string.ascii_lowercase)
+ # letter_to = random.choice([c for c in string.ascii_lowercase if c != letter_from])
+ # letters_to_merge = {letter_from: letter_to}
+ # else:
+ # padding_letter = random.choice(string.ascii_lowercase)
+ if chosen < 0.7:
+ swap_a = random.randrange(len(current_alphabet))
+ swap_b = (swap_a + int(random.gauss(0, 4))) % len(current_alphabet)
+ alphabet = swap(current_alphabet, swap_a, swap_b)
+ elif chosen < 0.85:
+ new_letter = random.choice(string.ascii_lowercase)
+ alphabet = swap(current_alphabet + new_letter, random.randrange(len(current_alphabet)), len(current_alphabet))
+ else:
+ if len(current_alphabet) > 1:
+ deletion_position = random.randrange(len(current_alphabet))
+ alphabet = current_alphabet[:deletion_position] + current_alphabet[deletion_position+1:]
+ else:
+ alphabet = current_alphabet
+
+ try:
+ plaintext = playfair_decipher(message, alphabet, padding_letter,
+ pad_replace,
+ letters_to_merge,
+ wrap)
+ except:
+ print("Error", alphabet, padding_letter,
+ pad_replace,
+ letters_to_merge,
+ wrap)
+ raise
+
+ 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_alphabet = alphabet
+ current_wrap = wrap
+ current_letters_to_merge = letters_to_merge
+ current_pad_replace = pad_replace
+ current_padding_letter = padding_letter
+
+ if current_fitness > best_fitness:
+ best_alphabet = current_alphabet
+ best_wrap = current_wrap
+ best_letters_to_merge = current_letters_to_merge
+ best_pad_replace = current_pad_replace
+ best_padding_letter = current_padding_letter
+ best_fitness = current_fitness
+ best_plaintext = plaintext
+ temperature = max(temperature - dt, 0.001)
+
+ return { 'alphabet': best_alphabet
+ , 'wrap': best_wrap
+ , 'letters_to_merge': best_letters_to_merge
+ , 'pad_replace': best_pad_replace
+ , 'padding_letter': best_padding_letter
+ }, best_fitness # current_alphabet, current_fitness</code></pre>
+</details>
+</dd>
+<dt id="szyfrow.playfair.playfair_wrap"><code class="name flex">
+<span>def <span class="ident">playfair_wrap</span></span>(<span>n, lowest, highest)</span>
+</code></dt>
+<dd>
+<div class="desc"><p>Ensures <em>n</em> is between <em>lowest</em> and <em>highest</em> (inclusive at both ends).</p></div>
+<details class="source">
+<summary>
+<span>Expand source code</span>
+</summary>
+<pre><code class="python">def playfair_wrap(n, lowest, highest):
+ """Ensures _n_ is between _lowest_ and _highest_ (inclusive at both ends).
+ """
+ skip = highest - lowest + 1
+ while n > highest or n < lowest:
+ if n > highest:
+ n -= skip
+ if n < lowest:
+ n += skip
+ return n</code></pre>
+</details>
+</dd>
+<dt id="szyfrow.playfair.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.playfair.cat" href="#szyfrow.playfair.cat">cat</a></code></li>
+<li><code><a title="szyfrow.playfair.lcat" href="#szyfrow.playfair.lcat">lcat</a></code></li>
+<li><code><a title="szyfrow.playfair.playfair_bigrams" href="#szyfrow.playfair.playfair_bigrams">playfair_bigrams</a></code></li>
+<li><code><a title="szyfrow.playfair.playfair_break" href="#szyfrow.playfair.playfair_break">playfair_break</a></code></li>
+<li><code><a title="szyfrow.playfair.playfair_break_worker" href="#szyfrow.playfair.playfair_break_worker">playfair_break_worker</a></code></li>
+<li><code><a title="szyfrow.playfair.playfair_decipher" href="#szyfrow.playfair.playfair_decipher">playfair_decipher</a></code></li>
+<li><code><a title="szyfrow.playfair.playfair_decipher_bigram" href="#szyfrow.playfair.playfair_decipher_bigram">playfair_decipher_bigram</a></code></li>
+<li><code><a title="szyfrow.playfair.playfair_encipher" href="#szyfrow.playfair.playfair_encipher">playfair_encipher</a></code></li>
+<li><code><a title="szyfrow.playfair.playfair_encipher_bigram" href="#szyfrow.playfair.playfair_encipher_bigram">playfair_encipher_bigram</a></code></li>
+<li><code><a title="szyfrow.playfair.playfair_simulated_annealing_break" href="#szyfrow.playfair.playfair_simulated_annealing_break">playfair_simulated_annealing_break</a></code></li>
+<li><code><a title="szyfrow.playfair.playfair_simulated_annealing_break_worker" href="#szyfrow.playfair.playfair_simulated_annealing_break_worker">playfair_simulated_annealing_break_worker</a></code></li>
+<li><code><a title="szyfrow.playfair.playfair_wrap" href="#szyfrow.playfair.playfair_wrap">playfair_wrap</a></code></li>
+<li><code><a title="szyfrow.playfair.wcat" href="#szyfrow.playfair.wcat">wcat</a></code></li>
+</ul>
+</li>
+</ul>
+</nav>
+</main>
+<footer id="footer">
+<p>Generated by <a href="https://pdoc3.github.io/pdoc"><cite>pdoc</cite> 0.9.2</a>.</p>
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+<script>window.addEventListener('DOMContentLoaded', () => hljs.initHighlighting())</script>
+</head>
+<body>
+<main>
+<article id="content">
+<header>
+<h1 class="title">Module <code>szyfrow.pocket_enigma</code></h1>
+</header>
+<section id="section-intro">
+<p>The Pocket Enigma machine, a simple example that illustrates the mechanisms
+of the Enigma machine. See <a href="http://www.savory.de/pocket_enigma.htm">a review</a>
+for more information about the machine.</p>
+<details class="source">
+<summary>
+<span>Expand source code</span>
+</summary>
+<pre><code class="python">"""The Pocket Enigma machine, a simple example that illustrates the mechanisms
+of the Enigma machine. See [a review](http://www.savory.de/pocket_enigma.htm)
+for more information about the machine.
+"""
+
+from szyfrow.support.utilities import *
+from szyfrow.support.language_models import *
+
+
+class PocketEnigma(object):
+ """A pocket enigma machine
+ The wheel is internally represented as a 26-element list self.wheel_map,
+ where wheel_map[i] == j shows that the position i places on from the arrow
+ maps to the position j places on.
+ """
+ def __init__(self, wheel=1, position='a'):
+ """initialise the pocket enigma, including which wheel to use and the
+ starting position of the wheel.
+
+ The wheel is either 1 or 2 (the predefined wheels) or a list of letter
+ pairs.
+
+ The position is the letter pointed to by the arrow on the wheel.
+
+ >>> pe.wheel_map
+ [25, 4, 23, 10, 1, 7, 9, 5, 12, 6, 3, 17, 8, 14, 13, 21, 19, 11, 20, 16, 18, 15, 24, 2, 22, 0]
+ >>> pe.position
+ 0
+ """
+ self.wheel1 = [('a', 'z'), ('b', 'e'), ('c', 'x'), ('d', 'k'),
+ ('f', 'h'), ('g', 'j'), ('i', 'm'), ('l', 'r'), ('n', 'o'),
+ ('p', 'v'), ('q', 't'), ('s', 'u'), ('w', 'y')]
+ self.wheel2 = [('a', 'c'), ('b', 'd'), ('e', 'w'), ('f', 'i'),
+ ('g', 'p'), ('h', 'm'), ('j', 'k'), ('l', 'n'), ('o', 'q'),
+ ('r', 'z'), ('s', 'u'), ('t', 'v'), ('x', 'y')]
+ if wheel == 1:
+ self.make_wheel_map(self.wheel1)
+ elif wheel == 2:
+ self.make_wheel_map(self.wheel2)
+ else:
+ self.validate_wheel_spec(wheel)
+ self.make_wheel_map(wheel)
+ if position in string.ascii_lowercase:
+ self.position = pos(position)
+ else:
+ self.position = position
+
+ def make_wheel_map(self, wheel_spec):
+ """Expands a wheel specification from a list of letter-letter pairs
+ into a full wheel_map.
+
+ >>> pe.make_wheel_map(pe.wheel2)
+ [2, 3, 0, 1, 22, 8, 15, 12, 5, 10, 9, 13, 7, 11, 16, 6, 14, 25, 20, 21, 18, 19, 4, 24, 23, 17]
+ """
+ self.validate_wheel_spec(wheel_spec)
+ self.wheel_map = [0] * 26
+ for p in wheel_spec:
+ self.wheel_map[pos(p[0])] = pos(p[1])
+ self.wheel_map[pos(p[1])] = pos(p[0])
+ return self.wheel_map
+
+ def validate_wheel_spec(self, wheel_spec):
+ """Validates that a wheel specificaiton will turn into a valid wheel
+ map.
+
+ >>> pe.validate_wheel_spec([])
+ Traceback (most recent call last):
+ ...
+ ValueError: Wheel specification has 0 pairs, requires 13
+ >>> pe.validate_wheel_spec([('a', 'b', 'c')]*13)
+ Traceback (most recent call last):
+ ...
+ ValueError: Not all mappings in wheel specificationhave two elements
+ >>> pe.validate_wheel_spec([('a', 'b')]*13)
+ Traceback (most recent call last):
+ ...
+ ValueError: Wheel specification does not contain 26 letters
+ """
+ if len(wheel_spec) != 13:
+ raise ValueError("Wheel specification has {} pairs, requires 13".
+ format(len(wheel_spec)))
+ for p in wheel_spec:
+ if len(p) != 2:
+ raise ValueError("Not all mappings in wheel specification"
+ "have two elements")
+ if len(set([p[0] for p in wheel_spec] +
+ [p[1] for p in wheel_spec])) != 26:
+ raise ValueError("Wheel specification does not contain 26 letters")
+
+ def encipher_letter(self, letter):
+ """Enciphers a single letter, by advancing the wheel before looking up
+ the letter on the wheel.
+
+ >>> pe.set_position('f')
+ 5
+ >>> pe.encipher_letter('k')
+ 'h'
+ """
+ self.advance()
+ return self.lookup(letter)
+ decipher_letter = encipher_letter
+
+ def lookup(self, letter):
+ """Look up what a letter enciphers to, without turning the wheel.
+
+ >>> pe.set_position('f')
+ 5
+ >>> cat([pe.lookup(l) for l in string.ascii_lowercase])
+ 'udhbfejcpgmokrliwntsayqzvx'
+ >>> pe.lookup('A')
+ ''
+ """
+ if letter in string.ascii_lowercase:
+ return unpos(
+ (self.wheel_map[(pos(letter) - self.position) % 26] +
+ self.position))
+ else:
+ return ''
+
+ def advance(self):
+ """Advances the wheel one position.
+
+ >>> pe.set_position('f')
+ 5
+ >>> pe.advance()
+ 6
+ """
+ self.position = (self.position + 1) % 26
+ return self.position
+
+ def encipher(self, message, starting_position=None):
+ """Enciphers a whole message.
+
+ >>> pe.set_position('f')
+ 5
+ >>> pe.encipher('helloworld')
+ 'kjsglcjoqc'
+ >>> pe.set_position('f')
+ 5
+ >>> pe.encipher('kjsglcjoqc')
+ 'helloworld'
+ >>> pe.encipher('helloworld', starting_position = 'x')
+ 'egrekthnnf'
+ """
+ if starting_position:
+ self.set_position(starting_position)
+ transformed = ''
+ for l in message:
+ transformed += self.encipher_letter(l)
+ return transformed
+ decipher = encipher
+
+ def set_position(self, position):
+ """Sets the position of the wheel, by specifying the letter the arrow
+ points to.
+
+ >>> pe.set_position('a')
+ 0
+ >>> pe.set_position('m')
+ 12
+ >>> pe.set_position('z')
+ 25
+ """
+ self.position = pos(position)
+ return self.position
+
+
+def pocket_enigma_break_by_crib(message, wheel_spec, crib, crib_position):
+ """Break a pocket enigma using a crib (some plaintext that's expected to
+ be in a certain position). Returns a list of possible starting wheel
+ positions that could produce the crib.
+
+ >>> pocket_enigma_break_by_crib('kzpjlzmoga', 1, 'h', 0)
+ ['a', 'f', 'q']
+ >>> pocket_enigma_break_by_crib('kzpjlzmoga', 1, 'he', 0)
+ ['a']
+ >>> pocket_enigma_break_by_crib('kzpjlzmoga', 1, 'll', 2)
+ ['a']
+ >>> pocket_enigma_break_by_crib('kzpjlzmoga', 1, 'l', 2)
+ ['a']
+ >>> pocket_enigma_break_by_crib('kzpjlzmoga', 1, 'l', 3)
+ ['a', 'j', 'n']
+ >>> pocket_enigma_break_by_crib('aaaaa', 1, 'l', 3)
+ []
+ """
+ pe = PocketEnigma(wheel=wheel_spec)
+ possible_positions = []
+ for p in string.ascii_lowercase:
+ pe.set_position(p)
+ plaintext = pe.decipher(message)
+ if plaintext[crib_position:crib_position+len(crib)] == crib:
+ possible_positions += [p]
+ return possible_positions
+
+if __name__ == "__main__":
+ import doctest
+ doctest.testmod(extraglobs={'pe': PocketEnigma(1, 'a')})</code></pre>
+</details>
+</section>
+<section>
+</section>
+<section>
+</section>
+<section>
+<h2 class="section-title" id="header-functions">Functions</h2>
+<dl>
+<dt id="szyfrow.pocket_enigma.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.pocket_enigma.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.pocket_enigma.pocket_enigma_break_by_crib"><code class="name flex">
+<span>def <span class="ident">pocket_enigma_break_by_crib</span></span>(<span>message, wheel_spec, crib, crib_position)</span>
+</code></dt>
+<dd>
+<div class="desc"><p>Break a pocket enigma using a crib (some plaintext that's expected to
+be in a certain position). Returns a list of possible starting wheel
+positions that could produce the crib.</p>
+<pre><code class="language-python-repl">>>> pocket_enigma_break_by_crib('kzpjlzmoga', 1, 'h', 0)
+['a', 'f', 'q']
+>>> pocket_enigma_break_by_crib('kzpjlzmoga', 1, 'he', 0)
+['a']
+>>> pocket_enigma_break_by_crib('kzpjlzmoga', 1, 'll', 2)
+['a']
+>>> pocket_enigma_break_by_crib('kzpjlzmoga', 1, 'l', 2)
+['a']
+>>> pocket_enigma_break_by_crib('kzpjlzmoga', 1, 'l', 3)
+['a', 'j', 'n']
+>>> pocket_enigma_break_by_crib('aaaaa', 1, 'l', 3)
+[]
+</code></pre></div>
+<details class="source">
+<summary>
+<span>Expand source code</span>
+</summary>
+<pre><code class="python">def pocket_enigma_break_by_crib(message, wheel_spec, crib, crib_position):
+ """Break a pocket enigma using a crib (some plaintext that's expected to
+ be in a certain position). Returns a list of possible starting wheel
+ positions that could produce the crib.
+
+ >>> pocket_enigma_break_by_crib('kzpjlzmoga', 1, 'h', 0)
+ ['a', 'f', 'q']
+ >>> pocket_enigma_break_by_crib('kzpjlzmoga', 1, 'he', 0)
+ ['a']
+ >>> pocket_enigma_break_by_crib('kzpjlzmoga', 1, 'll', 2)
+ ['a']
+ >>> pocket_enigma_break_by_crib('kzpjlzmoga', 1, 'l', 2)
+ ['a']
+ >>> pocket_enigma_break_by_crib('kzpjlzmoga', 1, 'l', 3)
+ ['a', 'j', 'n']
+ >>> pocket_enigma_break_by_crib('aaaaa', 1, 'l', 3)
+ []
+ """
+ pe = PocketEnigma(wheel=wheel_spec)
+ possible_positions = []
+ for p in string.ascii_lowercase:
+ pe.set_position(p)
+ plaintext = pe.decipher(message)
+ if plaintext[crib_position:crib_position+len(crib)] == crib:
+ possible_positions += [p]
+ return possible_positions</code></pre>
+</details>
+</dd>
+<dt id="szyfrow.pocket_enigma.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>
+<h2 class="section-title" id="header-classes">Classes</h2>
+<dl>
+<dt id="szyfrow.pocket_enigma.PocketEnigma"><code class="flex name class">
+<span>class <span class="ident">PocketEnigma</span></span>
+<span>(</span><span>wheel=1, position='a')</span>
+</code></dt>
+<dd>
+<div class="desc"><p>A pocket enigma machine
+The wheel is internally represented as a 26-element list self.wheel_map,
+where wheel_map[i] == j shows that the position i places on from the arrow
+maps to the position j places on.</p>
+<p>initialise the pocket enigma, including which wheel to use and the
+starting position of the wheel.</p>
+<p>The wheel is either 1 or 2 (the predefined wheels) or a list of letter
+pairs.</p>
+<p>The position is the letter pointed to by the arrow on the wheel.</p>
+<pre><code class="language-python-repl">>>> pe.wheel_map
+[25, 4, 23, 10, 1, 7, 9, 5, 12, 6, 3, 17, 8, 14, 13, 21, 19, 11, 20, 16, 18, 15, 24, 2, 22, 0]
+>>> pe.position
+0
+</code></pre></div>
+<details class="source">
+<summary>
+<span>Expand source code</span>
+</summary>
+<pre><code class="python">class PocketEnigma(object):
+ """A pocket enigma machine
+ The wheel is internally represented as a 26-element list self.wheel_map,
+ where wheel_map[i] == j shows that the position i places on from the arrow
+ maps to the position j places on.
+ """
+ def __init__(self, wheel=1, position='a'):
+ """initialise the pocket enigma, including which wheel to use and the
+ starting position of the wheel.
+
+ The wheel is either 1 or 2 (the predefined wheels) or a list of letter
+ pairs.
+
+ The position is the letter pointed to by the arrow on the wheel.
+
+ >>> pe.wheel_map
+ [25, 4, 23, 10, 1, 7, 9, 5, 12, 6, 3, 17, 8, 14, 13, 21, 19, 11, 20, 16, 18, 15, 24, 2, 22, 0]
+ >>> pe.position
+ 0
+ """
+ self.wheel1 = [('a', 'z'), ('b', 'e'), ('c', 'x'), ('d', 'k'),
+ ('f', 'h'), ('g', 'j'), ('i', 'm'), ('l', 'r'), ('n', 'o'),
+ ('p', 'v'), ('q', 't'), ('s', 'u'), ('w', 'y')]
+ self.wheel2 = [('a', 'c'), ('b', 'd'), ('e', 'w'), ('f', 'i'),
+ ('g', 'p'), ('h', 'm'), ('j', 'k'), ('l', 'n'), ('o', 'q'),
+ ('r', 'z'), ('s', 'u'), ('t', 'v'), ('x', 'y')]
+ if wheel == 1:
+ self.make_wheel_map(self.wheel1)
+ elif wheel == 2:
+ self.make_wheel_map(self.wheel2)
+ else:
+ self.validate_wheel_spec(wheel)
+ self.make_wheel_map(wheel)
+ if position in string.ascii_lowercase:
+ self.position = pos(position)
+ else:
+ self.position = position
+
+ def make_wheel_map(self, wheel_spec):
+ """Expands a wheel specification from a list of letter-letter pairs
+ into a full wheel_map.
+
+ >>> pe.make_wheel_map(pe.wheel2)
+ [2, 3, 0, 1, 22, 8, 15, 12, 5, 10, 9, 13, 7, 11, 16, 6, 14, 25, 20, 21, 18, 19, 4, 24, 23, 17]
+ """
+ self.validate_wheel_spec(wheel_spec)
+ self.wheel_map = [0] * 26
+ for p in wheel_spec:
+ self.wheel_map[pos(p[0])] = pos(p[1])
+ self.wheel_map[pos(p[1])] = pos(p[0])
+ return self.wheel_map
+
+ def validate_wheel_spec(self, wheel_spec):
+ """Validates that a wheel specificaiton will turn into a valid wheel
+ map.
+
+ >>> pe.validate_wheel_spec([])
+ Traceback (most recent call last):
+ ...
+ ValueError: Wheel specification has 0 pairs, requires 13
+ >>> pe.validate_wheel_spec([('a', 'b', 'c')]*13)
+ Traceback (most recent call last):
+ ...
+ ValueError: Not all mappings in wheel specificationhave two elements
+ >>> pe.validate_wheel_spec([('a', 'b')]*13)
+ Traceback (most recent call last):
+ ...
+ ValueError: Wheel specification does not contain 26 letters
+ """
+ if len(wheel_spec) != 13:
+ raise ValueError("Wheel specification has {} pairs, requires 13".
+ format(len(wheel_spec)))
+ for p in wheel_spec:
+ if len(p) != 2:
+ raise ValueError("Not all mappings in wheel specification"
+ "have two elements")
+ if len(set([p[0] for p in wheel_spec] +
+ [p[1] for p in wheel_spec])) != 26:
+ raise ValueError("Wheel specification does not contain 26 letters")
+
+ def encipher_letter(self, letter):
+ """Enciphers a single letter, by advancing the wheel before looking up
+ the letter on the wheel.
+
+ >>> pe.set_position('f')
+ 5
+ >>> pe.encipher_letter('k')
+ 'h'
+ """
+ self.advance()
+ return self.lookup(letter)
+ decipher_letter = encipher_letter
+
+ def lookup(self, letter):
+ """Look up what a letter enciphers to, without turning the wheel.
+
+ >>> pe.set_position('f')
+ 5
+ >>> cat([pe.lookup(l) for l in string.ascii_lowercase])
+ 'udhbfejcpgmokrliwntsayqzvx'
+ >>> pe.lookup('A')
+ ''
+ """
+ if letter in string.ascii_lowercase:
+ return unpos(
+ (self.wheel_map[(pos(letter) - self.position) % 26] +
+ self.position))
+ else:
+ return ''
+
+ def advance(self):
+ """Advances the wheel one position.
+
+ >>> pe.set_position('f')
+ 5
+ >>> pe.advance()
+ 6
+ """
+ self.position = (self.position + 1) % 26
+ return self.position
+
+ def encipher(self, message, starting_position=None):
+ """Enciphers a whole message.
+
+ >>> pe.set_position('f')
+ 5
+ >>> pe.encipher('helloworld')
+ 'kjsglcjoqc'
+ >>> pe.set_position('f')
+ 5
+ >>> pe.encipher('kjsglcjoqc')
+ 'helloworld'
+ >>> pe.encipher('helloworld', starting_position = 'x')
+ 'egrekthnnf'
+ """
+ if starting_position:
+ self.set_position(starting_position)
+ transformed = ''
+ for l in message:
+ transformed += self.encipher_letter(l)
+ return transformed
+ decipher = encipher
+
+ def set_position(self, position):
+ """Sets the position of the wheel, by specifying the letter the arrow
+ points to.
+
+ >>> pe.set_position('a')
+ 0
+ >>> pe.set_position('m')
+ 12
+ >>> pe.set_position('z')
+ 25
+ """
+ self.position = pos(position)
+ return self.position</code></pre>
+</details>
+<h3>Methods</h3>
+<dl>
+<dt id="szyfrow.pocket_enigma.PocketEnigma.advance"><code class="name flex">
+<span>def <span class="ident">advance</span></span>(<span>self)</span>
+</code></dt>
+<dd>
+<div class="desc"><p>Advances the wheel one position.</p>
+<pre><code class="language-python-repl">>>> pe.set_position('f')
+5
+>>> pe.advance()
+6
+</code></pre></div>
+<details class="source">
+<summary>
+<span>Expand source code</span>
+</summary>
+<pre><code class="python">def advance(self):
+ """Advances the wheel one position.
+
+ >>> pe.set_position('f')
+ 5
+ >>> pe.advance()
+ 6
+ """
+ self.position = (self.position + 1) % 26
+ return self.position</code></pre>
+</details>
+</dd>
+<dt id="szyfrow.pocket_enigma.PocketEnigma.decipher"><code class="name flex">
+<span>def <span class="ident">decipher</span></span>(<span>self, message, starting_position=None)</span>
+</code></dt>
+<dd>
+<div class="desc"><p>Enciphers a whole message.</p>
+<pre><code class="language-python-repl">>>> pe.set_position('f')
+5
+>>> pe.encipher('helloworld')
+'kjsglcjoqc'
+>>> pe.set_position('f')
+5
+>>> pe.encipher('kjsglcjoqc')
+'helloworld'
+>>> pe.encipher('helloworld', starting_position = 'x')
+'egrekthnnf'
+</code></pre></div>
+<details class="source">
+<summary>
+<span>Expand source code</span>
+</summary>
+<pre><code class="python">def encipher(self, message, starting_position=None):
+ """Enciphers a whole message.
+
+ >>> pe.set_position('f')
+ 5
+ >>> pe.encipher('helloworld')
+ 'kjsglcjoqc'
+ >>> pe.set_position('f')
+ 5
+ >>> pe.encipher('kjsglcjoqc')
+ 'helloworld'
+ >>> pe.encipher('helloworld', starting_position = 'x')
+ 'egrekthnnf'
+ """
+ if starting_position:
+ self.set_position(starting_position)
+ transformed = ''
+ for l in message:
+ transformed += self.encipher_letter(l)
+ return transformed</code></pre>
+</details>
+</dd>
+<dt id="szyfrow.pocket_enigma.PocketEnigma.decipher_letter"><code class="name flex">
+<span>def <span class="ident">decipher_letter</span></span>(<span>self, letter)</span>
+</code></dt>
+<dd>
+<div class="desc"><p>Enciphers a single letter, by advancing the wheel before looking up
+the letter on the wheel.</p>
+<pre><code class="language-python-repl">>>> pe.set_position('f')
+5
+>>> pe.encipher_letter('k')
+'h'
+</code></pre></div>
+<details class="source">
+<summary>
+<span>Expand source code</span>
+</summary>
+<pre><code class="python">def encipher_letter(self, letter):
+ """Enciphers a single letter, by advancing the wheel before looking up
+ the letter on the wheel.
+
+ >>> pe.set_position('f')
+ 5
+ >>> pe.encipher_letter('k')
+ 'h'
+ """
+ self.advance()
+ return self.lookup(letter)</code></pre>
+</details>
+</dd>
+<dt id="szyfrow.pocket_enigma.PocketEnigma.encipher"><code class="name flex">
+<span>def <span class="ident">encipher</span></span>(<span>self, message, starting_position=None)</span>
+</code></dt>
+<dd>
+<div class="desc"><p>Enciphers a whole message.</p>
+<pre><code class="language-python-repl">>>> pe.set_position('f')
+5
+>>> pe.encipher('helloworld')
+'kjsglcjoqc'
+>>> pe.set_position('f')
+5
+>>> pe.encipher('kjsglcjoqc')
+'helloworld'
+>>> pe.encipher('helloworld', starting_position = 'x')
+'egrekthnnf'
+</code></pre></div>
+<details class="source">
+<summary>
+<span>Expand source code</span>
+</summary>
+<pre><code class="python">def encipher(self, message, starting_position=None):
+ """Enciphers a whole message.
+
+ >>> pe.set_position('f')
+ 5
+ >>> pe.encipher('helloworld')
+ 'kjsglcjoqc'
+ >>> pe.set_position('f')
+ 5
+ >>> pe.encipher('kjsglcjoqc')
+ 'helloworld'
+ >>> pe.encipher('helloworld', starting_position = 'x')
+ 'egrekthnnf'
+ """
+ if starting_position:
+ self.set_position(starting_position)
+ transformed = ''
+ for l in message:
+ transformed += self.encipher_letter(l)
+ return transformed</code></pre>
+</details>
+</dd>
+<dt id="szyfrow.pocket_enigma.PocketEnigma.encipher_letter"><code class="name flex">
+<span>def <span class="ident">encipher_letter</span></span>(<span>self, letter)</span>
+</code></dt>
+<dd>
+<div class="desc"><p>Enciphers a single letter, by advancing the wheel before looking up
+the letter on the wheel.</p>
+<pre><code class="language-python-repl">>>> pe.set_position('f')
+5
+>>> pe.encipher_letter('k')
+'h'
+</code></pre></div>
+<details class="source">
+<summary>
+<span>Expand source code</span>
+</summary>
+<pre><code class="python">def encipher_letter(self, letter):
+ """Enciphers a single letter, by advancing the wheel before looking up
+ the letter on the wheel.
+
+ >>> pe.set_position('f')
+ 5
+ >>> pe.encipher_letter('k')
+ 'h'
+ """
+ self.advance()
+ return self.lookup(letter)</code></pre>
+</details>
+</dd>
+<dt id="szyfrow.pocket_enigma.PocketEnigma.lookup"><code class="name flex">
+<span>def <span class="ident">lookup</span></span>(<span>self, letter)</span>
+</code></dt>
+<dd>
+<div class="desc"><p>Look up what a letter enciphers to, without turning the wheel.</p>
+<pre><code class="language-python-repl">>>> pe.set_position('f')
+5
+>>> cat([pe.lookup(l) for l in string.ascii_lowercase])
+'udhbfejcpgmokrliwntsayqzvx'
+>>> pe.lookup('A')
+''
+</code></pre></div>
+<details class="source">
+<summary>
+<span>Expand source code</span>
+</summary>
+<pre><code class="python">def lookup(self, letter):
+ """Look up what a letter enciphers to, without turning the wheel.
+
+ >>> pe.set_position('f')
+ 5
+ >>> cat([pe.lookup(l) for l in string.ascii_lowercase])
+ 'udhbfejcpgmokrliwntsayqzvx'
+ >>> pe.lookup('A')
+ ''
+ """
+ if letter in string.ascii_lowercase:
+ return unpos(
+ (self.wheel_map[(pos(letter) - self.position) % 26] +
+ self.position))
+ else:
+ return ''</code></pre>
+</details>
+</dd>
+<dt id="szyfrow.pocket_enigma.PocketEnigma.make_wheel_map"><code class="name flex">
+<span>def <span class="ident">make_wheel_map</span></span>(<span>self, wheel_spec)</span>
+</code></dt>
+<dd>
+<div class="desc"><p>Expands a wheel specification from a list of letter-letter pairs
+into a full wheel_map.</p>
+<pre><code class="language-python-repl">>>> pe.make_wheel_map(pe.wheel2)
+[2, 3, 0, 1, 22, 8, 15, 12, 5, 10, 9, 13, 7, 11, 16, 6, 14, 25, 20, 21, 18, 19, 4, 24, 23, 17]
+</code></pre></div>
+<details class="source">
+<summary>
+<span>Expand source code</span>
+</summary>
+<pre><code class="python">def make_wheel_map(self, wheel_spec):
+ """Expands a wheel specification from a list of letter-letter pairs
+ into a full wheel_map.
+
+ >>> pe.make_wheel_map(pe.wheel2)
+ [2, 3, 0, 1, 22, 8, 15, 12, 5, 10, 9, 13, 7, 11, 16, 6, 14, 25, 20, 21, 18, 19, 4, 24, 23, 17]
+ """
+ self.validate_wheel_spec(wheel_spec)
+ self.wheel_map = [0] * 26
+ for p in wheel_spec:
+ self.wheel_map[pos(p[0])] = pos(p[1])
+ self.wheel_map[pos(p[1])] = pos(p[0])
+ return self.wheel_map</code></pre>
+</details>
+</dd>
+<dt id="szyfrow.pocket_enigma.PocketEnigma.set_position"><code class="name flex">
+<span>def <span class="ident">set_position</span></span>(<span>self, position)</span>
+</code></dt>
+<dd>
+<div class="desc"><p>Sets the position of the wheel, by specifying the letter the arrow
+points to.</p>
+<pre><code class="language-python-repl">>>> pe.set_position('a')
+0
+>>> pe.set_position('m')
+12
+>>> pe.set_position('z')
+25
+</code></pre></div>
+<details class="source">
+<summary>
+<span>Expand source code</span>
+</summary>
+<pre><code class="python">def set_position(self, position):
+ """Sets the position of the wheel, by specifying the letter the arrow
+ points to.
+
+ >>> pe.set_position('a')
+ 0
+ >>> pe.set_position('m')
+ 12
+ >>> pe.set_position('z')
+ 25
+ """
+ self.position = pos(position)
+ return self.position</code></pre>
+</details>
+</dd>
+<dt id="szyfrow.pocket_enigma.PocketEnigma.validate_wheel_spec"><code class="name flex">
+<span>def <span class="ident">validate_wheel_spec</span></span>(<span>self, wheel_spec)</span>
+</code></dt>
+<dd>
+<div class="desc"><p>Validates that a wheel specificaiton will turn into a valid wheel
+map.</p>
+<pre><code class="language-python-repl">>>> pe.validate_wheel_spec([])
+Traceback (most recent call last):
+ ...
+ValueError: Wheel specification has 0 pairs, requires 13
+>>> pe.validate_wheel_spec([('a', 'b', 'c')]*13)
+Traceback (most recent call last):
+ ...
+ValueError: Not all mappings in wheel specificationhave two elements
+>>> pe.validate_wheel_spec([('a', 'b')]*13)
+Traceback (most recent call last):
+ ...
+ValueError: Wheel specification does not contain 26 letters
+</code></pre></div>
+<details class="source">
+<summary>
+<span>Expand source code</span>
+</summary>
+<pre><code class="python">def validate_wheel_spec(self, wheel_spec):
+ """Validates that a wheel specificaiton will turn into a valid wheel
+ map.
+
+ >>> pe.validate_wheel_spec([])
+ Traceback (most recent call last):
+ ...
+ ValueError: Wheel specification has 0 pairs, requires 13
+ >>> pe.validate_wheel_spec([('a', 'b', 'c')]*13)
+ Traceback (most recent call last):
+ ...
+ ValueError: Not all mappings in wheel specificationhave two elements
+ >>> pe.validate_wheel_spec([('a', 'b')]*13)
+ Traceback (most recent call last):
+ ...
+ ValueError: Wheel specification does not contain 26 letters
+ """
+ if len(wheel_spec) != 13:
+ raise ValueError("Wheel specification has {} pairs, requires 13".
+ format(len(wheel_spec)))
+ for p in wheel_spec:
+ if len(p) != 2:
+ raise ValueError("Not all mappings in wheel specification"
+ "have two elements")
+ if len(set([p[0] for p in wheel_spec] +
+ [p[1] for p in wheel_spec])) != 26:
+ raise ValueError("Wheel specification does not contain 26 letters")</code></pre>
+</details>
+</dd>
+</dl>
+</dd>
+</dl>
+</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.pocket_enigma.cat" href="#szyfrow.pocket_enigma.cat">cat</a></code></li>
+<li><code><a title="szyfrow.pocket_enigma.lcat" href="#szyfrow.pocket_enigma.lcat">lcat</a></code></li>
+<li><code><a title="szyfrow.pocket_enigma.pocket_enigma_break_by_crib" href="#szyfrow.pocket_enigma.pocket_enigma_break_by_crib">pocket_enigma_break_by_crib</a></code></li>
+<li><code><a title="szyfrow.pocket_enigma.wcat" href="#szyfrow.pocket_enigma.wcat">wcat</a></code></li>
+</ul>
+</li>
+<li><h3><a href="#header-classes">Classes</a></h3>
+<ul>
+<li>
+<h4><code><a title="szyfrow.pocket_enigma.PocketEnigma" href="#szyfrow.pocket_enigma.PocketEnigma">PocketEnigma</a></code></h4>
+<ul class="two-column">
+<li><code><a title="szyfrow.pocket_enigma.PocketEnigma.advance" href="#szyfrow.pocket_enigma.PocketEnigma.advance">advance</a></code></li>
+<li><code><a title="szyfrow.pocket_enigma.PocketEnigma.decipher" href="#szyfrow.pocket_enigma.PocketEnigma.decipher">decipher</a></code></li>
+<li><code><a title="szyfrow.pocket_enigma.PocketEnigma.decipher_letter" href="#szyfrow.pocket_enigma.PocketEnigma.decipher_letter">decipher_letter</a></code></li>
+<li><code><a title="szyfrow.pocket_enigma.PocketEnigma.encipher" href="#szyfrow.pocket_enigma.PocketEnigma.encipher">encipher</a></code></li>
+<li><code><a title="szyfrow.pocket_enigma.PocketEnigma.encipher_letter" href="#szyfrow.pocket_enigma.PocketEnigma.encipher_letter">encipher_letter</a></code></li>
+<li><code><a title="szyfrow.pocket_enigma.PocketEnigma.lookup" href="#szyfrow.pocket_enigma.PocketEnigma.lookup">lookup</a></code></li>
+<li><code><a title="szyfrow.pocket_enigma.PocketEnigma.make_wheel_map" href="#szyfrow.pocket_enigma.PocketEnigma.make_wheel_map">make_wheel_map</a></code></li>
+<li><code><a title="szyfrow.pocket_enigma.PocketEnigma.set_position" href="#szyfrow.pocket_enigma.PocketEnigma.set_position">set_position</a></code></li>
+<li><code><a title="szyfrow.pocket_enigma.PocketEnigma.validate_wheel_spec" href="#szyfrow.pocket_enigma.PocketEnigma.validate_wheel_spec">validate_wheel_spec</a></code></li>
+</ul>
+</li>
+</ul>
+</li>
+</ul>
+</nav>
+</main>
+<footer id="footer">
+<p>Generated by <a href="https://pdoc3.github.io/pdoc"><cite>pdoc</cite> 0.9.2</a>.</p>
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+<meta name="description" content="Simple digraph substitution cipher, using the
+[Polybius square](https://en.wikipedia.org/wiki/Polybius_square). Enciphering
+and deciphering, and a …" />
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+<article id="content">
+<header>
+<h1 class="title">Module <code>szyfrow.polybius</code></h1>
+</header>
+<section id="section-intro">
+<p>Simple digraph substitution cipher, using the
+<a href="https://en.wikipedia.org/wiki/Polybius_square">Polybius square</a>. Enciphering
+and deciphering, and a couple of ways to break these ciphers.</p>
+<details class="source">
+<summary>
+<span>Expand source code</span>
+</summary>
+<pre><code class="python">"""Simple digraph substitution cipher, using the
+[Polybius square](https://en.wikipedia.org/wiki/Polybius_square). Enciphering
+and deciphering, and a couple of ways to break these ciphers.
+"""
+import multiprocessing
+from szyfrow.support.utilities import *
+from szyfrow.support.language_models import *
+from szyfrow.keyword_cipher import KeywordWrapAlphabet, keyword_cipher_alphabet_of
+
+def polybius_grid(keyword, column_order, row_order, letters_to_merge=None,
+ wrap_alphabet=KeywordWrapAlphabet.from_a):
+ """Grid for a Polybius cipher, using a keyword to rearrange the
+ alphabet.
+
+
+ >>> polybius_grid('a', 'abcde', 'abcde')['x'] == ('e', 'c')
+ True
+ >>> polybius_grid('elephant', 'abcde', 'abcde')['e'] == ('a', 'a')
+ True
+ >>> polybius_grid('elephant', 'abcde', 'abcde')['b'] == ('b', 'c')
+ True
+ """
+ alphabet = keyword_cipher_alphabet_of(keyword, wrap_alphabet=wrap_alphabet)
+ if letters_to_merge is None:
+ letters_to_merge = {'j': 'i'}
+ grid = {l: k
+ for k, l in zip([(c, r) for c in column_order for r in row_order],
+ [l for l in alphabet if l not in letters_to_merge])}
+ for l in letters_to_merge:
+ grid[l] = grid[letters_to_merge[l]]
+ return grid
+
+def polybius_reverse_grid(keyword, column_order, row_order, letters_to_merge=None,
+ wrap_alphabet=KeywordWrapAlphabet.from_a):
+ """Grid for decrypting using a Polybius cipher, using a keyword to
+ rearrange the alphabet.
+
+ >>> polybius_reverse_grid('a', 'abcde', 'abcde')['e', 'c'] == 'x'
+ True
+ >>> polybius_reverse_grid('elephant', 'abcde', 'abcde')['a', 'a'] == 'e'
+ True
+ >>> polybius_reverse_grid('elephant', 'abcde', 'abcde')['b', 'c'] == 'b'
+ True
+ """
+ alphabet = keyword_cipher_alphabet_of(keyword, wrap_alphabet=wrap_alphabet)
+ if letters_to_merge is None:
+ letters_to_merge = {'j': 'i'}
+ grid = {k: l
+ for k, l in zip([(c, r) for c in column_order for r in row_order],
+ [l for l in alphabet if l not in letters_to_merge])}
+ return grid
+
+
+def polybius_flatten(pair, column_first):
+ """Convert a pair of characters into a single string."""
+ if column_first:
+ return str(pair[1]) + str(pair[0])
+ else:
+ return str(pair[0]) + str(pair[1])
+
+def polybius_encipher(message, keyword, column_order, row_order,
+ column_first=False,
+ letters_to_merge=None, wrap_alphabet=KeywordWrapAlphabet.from_a):
+ """Encipher a message with Polybius cipher, using a keyword to rearrange
+ the alphabet
+
+ >>> polybius_encipher('this is a test message for the ' \
+ 'polybius decipherment', 'elephant', \
+ [1, 2, 3, 4, 5], [1, 2, 3, 4, 5], \
+ wrap_alphabet=KeywordWrapAlphabet.from_last)
+ '2214445544551522115522511155551543114252542214111352123234442355411135441314115451112122'
+ >>> polybius_encipher('this is a test message for the ' \
+ 'polybius decipherment', 'elephant', 'abcde', 'abcde', \
+ column_first=False)
+ 'bbadccddccddaebbaaddbbceaaddddaecbaacadadcbbadaaacdaabedbcccdeddbeaabdccacadaadcceaababb'
+ >>> polybius_encipher('this is a test message for the ' \
+ 'polybius decipherment', 'elephant', 'abcde', 'abcde', \
+ column_first=True)
+ 'bbdaccddccddeabbaaddbbecaaddddeabcaaacadcdbbdaaacaadbadecbccedddebaadbcccadaaacdecaaabbb'
+ """
+ grid = polybius_grid(keyword, column_order, row_order, letters_to_merge, wrap_alphabet)
+ return cat(polybius_flatten(grid[l], column_first)
+ for l in message
+ if l in grid)
+
+
+def polybius_decipher(message, keyword, column_order, row_order,
+ column_first=False,
+ letters_to_merge=None, wrap_alphabet=KeywordWrapAlphabet.from_a):
+ """Decipher a message with a Polybius cipher, using a keyword to rearrange
+ the alphabet
+
+ >>> polybius_decipher('bbdaccddccddeabbaaddbbecaaddddeabcaaacadcdbbdaaaca'\
+ 'adbadecbccedddebaadbcccadaaacdecaaabbb', 'elephant', 'abcde', 'abcde', \
+ column_first=False)
+ 'toisisvtestxessvbephktoefhnugiysweqifoekxelt'
+
+ >>> polybius_decipher('bbdaccddccddeabbaaddbbecaaddddeabcaaacadcdbbdaaaca'\
+ 'adbadecbccedddebaadbcccadaaacdecaaabbb', 'elephant', 'abcde', 'abcde', \
+ column_first=True)
+ 'thisisatestmessageforthepolybiusdecipherment'
+ """
+ grid = polybius_reverse_grid(keyword, column_order, row_order, letters_to_merge, wrap_alphabet)
+ column_index_type = type(column_order[0])
+ row_index_type = type(row_order[0])
+ if column_first:
+ pairs = [(column_index_type(p[1]), row_index_type(p[0]))
+ for p in chunks(message, 2)]
+ else:
+ pairs = [(row_index_type(p[0]), column_index_type(p[1]))
+ for p in chunks(message, 2)]
+ return cat(grid[p] for p in pairs if p in grid)
+
+
+def polybius_break(message, column_labels, row_labels,
+ letters_to_merge=None,
+ wordlist=keywords, fitness=Pletters,
+ number_of_solutions=1, chunksize=500):
+ """Breaks a Polybius substitution cipher using a dictionary and
+ frequency analysis
+
+ >>> polybius_break_mp(polybius_encipher('this is a test message for the ' \
+ 'polybius decipherment', 'elephant', 'abcde', 'abcde'), \
+ 'abcde', 'abcde', \
+ wordlist=['cat', 'elephant', 'kangaroo']) # doctest: +ELLIPSIS, +NORMALIZE_WHITESPACE
+ (('elephant', <KeywordWrapAlphabet.from_a: 1>, 'abcde', 'abcde', False), \
+ -54.53880...)
+ >>> polybius_break_mp(polybius_encipher('this is a test message for the ' \
+ 'polybius decipherment', 'elephant', 'abcde', 'abcde', column_first=True), \
+ 'abcde', 'abcde', \
+ wordlist=['cat', 'elephant', 'kangaroo']) # doctest: +ELLIPSIS, +NORMALIZE_WHITESPACE
+ (('elephant', <KeywordWrapAlphabet.from_a: 1>, 'abcde', 'abcde', True), \
+ -54.53880...)
+ >>> polybius_break_mp(polybius_encipher('this is a test message for the ' \
+ 'polybius decipherment', 'elephant', 'abcde', 'abcde', column_first=False), \
+ 'abcde', 'abcde', \
+ wordlist=['cat', 'elephant', 'kangaroo']) # doctest: +ELLIPSIS, +NORMALIZE_WHITESPACE
+ (('elephant', <KeywordWrapAlphabet.from_a: 1>, 'abcde', 'abcde', False), \
+ -54.53880...)
+ >>> polybius_break_mp(polybius_encipher('this is a test message for the ' \
+ 'polybius decipherment', 'elephant', 'abcde', 'pqrst', column_first=True), \
+ 'abcde', 'pqrst', \
+ wordlist=['cat', 'elephant', 'kangaroo']) # doctest: +ELLIPSIS, +NORMALIZE_WHITESPACE
+ (('elephant', <KeywordWrapAlphabet.from_a: 1>, 'abcde', 'pqrst', True), \
+ -54.53880...)
+ """
+ if letters_to_merge is None:
+ letters_to_merge = {'j': 'i'}
+ with multiprocessing.Pool() as pool:
+ helper_args = [(message, word, wrap,
+ column_labels, row_labels, column_first,
+ letters_to_merge,
+ fitness)
+ for word in wordlist
+ for wrap in KeywordWrapAlphabet
+ for column_first in [False, True]]
+ # Gotcha: the helper function here needs to be defined at the top level
+ # (limitation of Pool.starmap)
+ breaks = pool.starmap(polybius_break_worker, helper_args, chunksize)
+ if number_of_solutions == 1:
+ return max(breaks, key=lambda k: k[1])
+ else:
+ return sorted(breaks, key=lambda k: k[1], reverse=True)[:number_of_solutions]
+
+def polybius_break_worker(message, keyword, wrap_alphabet,
+ column_order, row_order, column_first,
+ letters_to_merge,
+ fitness):
+ plaintext = polybius_decipher(message, keyword,
+ column_order, row_order,
+ column_first=column_first,
+ letters_to_merge=letters_to_merge,
+ wrap_alphabet=wrap_alphabet)
+ if plaintext:
+ fit = fitness(plaintext)
+ else:
+ fit = float('-inf')
+ return (keyword, wrap_alphabet, column_order, row_order, column_first), fit
+
+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.polybius.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.polybius.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.polybius.polybius_break"><code class="name flex">
+<span>def <span class="ident">polybius_break</span></span>(<span>message, column_labels, row_labels, letters_to_merge=None, wordlist=['a', 'b', 'c', 'd', 'e', 'f', 'g', 'h', 'i', 'j', 'k', 'l', 'm', 'n', 'o', 'p', 'q', 'r', 's', 't', 'u', 'v', 'w', 'x', 'y', 'z', 'ac', 'ad', 'ag', 'ah', 'ak', 'al', 'am', 'an', 'ap', 'ar', 'as', 'at', 'au', 'av', 'ax', 'ay', 'az', 'ba', 'be', 'bi', 'bk', 'bp', 'br', 'bs', 'by', 'ca', 'cb', 'cd', 'cf', 'ci', 'cl', 'cm', 'co', 'cr', 'cs', 'ct', 'cu', 'cz', 'db', 'dc', 'de', 'di', 'do', 'dr', 'ds', 'du', 'ed', 'eg', 'eh', 'el', 'em', 'en', 'er', 'es', 'et', 'eu', 'ex', 'fa', 'fe', 'fl', 'fm', 'fr', 'fs', 'ft', 'ga', 'gd', 'ge', 'gm', 'go', 'gs', 'gu', 'ha', 'he', 'hf', 'hg', 'hi', 'hm', 'ho', 'hs', 'hz', 'ia', 'id', 'ie', 'if', 'ii', 'il', 'im', 'in', 'io', 'iq', 'ir', 'is', 'it', 'iv', 'ix', 'jo', 'jr', 'js', 'kc', 'kr', 'ks', 'ku', 'kw', 'ky', 'la', 'le', 'li', 'ln', 'lo', 'lr', 'ls', 'lt', 'lu', 'ma', 'mb', 'md', 'me', 'mg', 'mi', 'mn', 'mo', 'mr', 'ms', 'mt', 'mu', 'my', 'na', 'nb', 'nc', 'nd', 'ne', 'nh', 'ni', 'nj', 'nm', 'no', 'np', 'ns', 'nu', 'nv', 'nw', 'ny', 'ob', 'of', 'oh', 'ok', 'on', 'or', 'os', 'ow', 'ox', 'oz', 'pa', 'pb', 'pd', 'pe', 'ph', 'pi', 'pl', 'pm', 'po', 'pr', 'ps', 'pt', 'pu', 'qs', 'ra', 'rb', 'rd', 're', 'rh', 'ri', 'rn', 'rs', 'ru', 'rx', 'sa', 'sb', 'sc', 'sd', 'se', 'sh', 'si', 'sm', 'sn', 'so', 'sq', 'sr', 'ss', 'st', 'sw', 'ta', 'tb', 'tc', 'th', 'ti', 'tl', 'tm', 'tn', 'to', 'ts', 'tv', 'tx', 'ty', 'uh', 'uk', 'um', 'un', 'up', 'ur', 'us', 'ut', 'va', 'vi', 'vs', 'vt', 'wa', 'we', 'wi', 'wm', 'ws', 'wu', 'wv', 'wy', 'xe', 'xi', 'xs', 'yb', 'ye', 'yo', 'ys', 'zn', 'zr', 'zs', 'aaa', 'aas', 'aau', 'aba', 'abb', 'abc', 'abe', 'abo', 'abs', 'ace', 'acm', 'acs', 'act', 'ada', 'add', 'ado', 'ads', 'adz', 'aft', 'age', 'ago', 'ags', 'aha', 'aid', 'ail', 'aim', 'air', 'ais', 'ala', 'alb', 'ale', 'ali', 'all', 'alp', 'als', 'ama', 'ami', 'amp', 'ams', 'amy', 'ana', 'and', 'ani', 'ann', 'ant', 'any', 'aol', 'ape', 'apr', 'aps', 'apt', 'ara', 'arc', 'are', 'ark', 'arm', 'ars', 'art', 'ash', 'ask', 'asp', 'ass', 'ate', 'ats', 'att', 'aug', 'auk', 'aus', 'ava', 'ave', 'avs', 'awe', 'awl', 'awn', 'axe', 'axs', 'aye', 'ays', 'azs', 'baa', 'bad', 'bag', 'bah', 'bam', 'ban', 'bar', 'bas', 'bat', 'bay', 'bbs', 'bcs', 'bed', 'bee', 'beg', 'bel', 'ben', 'bes', 'bet', 'bey', 'bib', 'bic', 'bid', 'big', 'bin', 'bis', 'bit', 'biz', 'bks', 'blu', 'bms', 'bmw', 'boa', 'bob', 'bog', 'bon', 'boo', 'bop', 'bow', 'box', 'boy', 'bra', 'brr', 'brs', 'bss', 'btl', 'btu', 'bub', 'bud', 'bug', 'bum', 'bun', 'bur', 'bus', 'but', 'buy', 'bye', 'bys', 'cab', 'cad', 'caf', 'cal', 'cam', 'can', 'cap', 'car', 'cas', 'cat', 'caw', 'cbs', 'cdc', 'cdr', 'cds', 'ceq', 'cfs', 'che', 'chi', 'cia', 'cid', 'cit', 'cls', 'cms', 'cob', 'cod', 'cog', 'col', 'com', 'con', 'coo', 'cop', 'cos', 'cot', 'cow', 'cox', 'coy', 'cpa', 'cpu', 'crs', 'crt', 'cry', 'cts', 'cub', 'cud', 'cue', 'cup', 'cur', 'cus', 'cut', 'dab', 'dad', 'dam', 'dan', 'dar', 'das', 'day', 'dcs', 'dds', 'deb', 'dec', 'dee', 'del', 'dem', 'den', 'des', 'dew', 'dey', 'did', 'die', 'dig', 'dim', 'din', 'dip', 'dis', 'dix', 'dna', 'doc', 'dod', 'doe', 'dog', 'don', 'dos', 'dot', 'dow', 'dps', 'dry', 'dub', 'dud', 'due', 'dug', 'duh', 'dun', 'duo', 'dye', 'ear', 'eat', 'ebb', 'eco', 'eds', 'edt', 'eel', 'eer', 'eft', 'egg', 'ego', 'eke', 'elf', 'eli', 'elk', 'ell', 'elm', 'ely', 'ems', 'emu', 'end', 'eng', 'eon', 'epa', 'era', 'ere', 'erg', 'err', 'ers', 'esq', 'est', 'eta', 'etc', 'eus', 'eva', 'eve', 'ewe', 'exs', 'eye', 'faa', 'fad', 'fag', 'fan', 'far', 'fas', 'fat', 'fax', 'fay', 'fbi', 'fcc', 'fda', 'fdr', 'feb', 'fed', 'fee', 'fen', 'fer', 'fes', 'few', 'fey', 'fez', 'fib', 'fie', 'fig', 'fin', 'fir', 'fit', 'fix', 'fla', 'flo', 'flu', 'fly', 'fmc', 'fms', 'fob', 'foe', 'fog', 'fop', 'for', 'fox', 'fpc', 'fri', 'fro', 'frs', 'fry', 'ftc', 'fte', 'fum', 'fun', 'fur', 'gab', 'gad', 'gag', 'gal', 'gam', 'gao', 'gap', 'gar', 'gas', 'gay', 'gcd', 'gds', 'gee', 'gel', 'gem', 'gen', 'geo', 'ger', 'ges', 'get', 'gig', 'gil', 'gin', 'gmt', 'gnp', 'gnu', 'goa', 'gob', 'god', 'gog', 'goo', 'gop', 'gos', 'got', 'gpo', 'gps', 'gsa', 'gte', 'gum', 'gun', 'gus', 'gut', 'guy', 'gym', 'gyp', 'had', 'hag', 'hah', 'hal', 'ham', 'han', 'hap', 'has', 'hat', 'haw', 'hay', 'hed', 'hem', 'hen', 'hep', 'her', 'hes', 'hew', 'hex', 'hey', 'hfs', 'hgs', 'hid', 'hie', 'him', 'hip', 'his', 'hit', 'hob', 'hoc', 'hod', 'hoe', 'hog', 'hoi', 'hom', 'hon', 'hop', 'hos', 'hot', 'how', 'hoy', 'hps', 'hqs', 'hub', 'hue', 'hug', 'huh', 'hui', 'hum', 'hun', 'hus', 'hut', 'hzs', 'ian', 'ibm', 'ibn', 'ibo', 'icc', 'ice', 'icy', 'ida', 'ids', 'ifs', 'iii', 'ike', 'ila', 'ilk', 'ill', 'imp', 'ina', 'inc', 'ind', 'ing', 'ink', 'inn', 'ins', 'ion', 'ios', 'iqs', 'ira', 'ire', 'irk', 'irs', 'ism', 'itd', 'ito', 'its', 'itt', 'iva', 'ive', 'ivs', 'ivy', 'jab', 'jag', 'jam', 'jan', 'jar', 'jaw', 'jay', 'jed', 'jet', 'jew', 'jfk', 'jib', 'jig', 'jim', 'job', 'joe', 'jog', 'jon', 'jos', 'jot', 'joy', 'jrs', 'jug', 'jul', 'jun', 'jut', 'kay', 'keg', 'ken', 'key', 'kfc', 'khz', 'kid', 'kim', 'kin', 'kip', 'kit', 'kln', 'krs', 'lab', 'lac', 'lad', 'lag', 'lam', 'lan', 'lao', 'lap', 'las', 'law', 'lax', 'lay', 'lbj', 'lea', 'led', 'lee', 'leg', 'lei', 'len', 'leo', 'les', 'let', 'lev', 'lew', 'lib', 'lid', 'lie', 'lim', 'lin', 'lip', 'lis', 'lit', 'liz', 'lob', 'log', 'lon', 'lop', 'los', 'lot', 'lou', 'low', 'lox', 'loy', 'lsi', 'ltd', 'ltv', 'lug', 'lus', 'lux', 'luz', 'lye', 'lyx', 'mac', 'mad', 'mae', 'mai', 'maj', 'man', 'mao', 'map', 'mar', 'mas', 'mat', 'maw', 'max', 'may', 'mba', 'mbs', 'mci', 'mds', 'meg', 'mel', 'men', 'mes', 'met', 'mew', 'mgm', 'mgs', 'mhz', 'mia', 'mid', 'mig', 'mil', 'min', 'mir', 'mis', 'mit', 'mix', 'mle', 'mns', 'mob', 'mod', 'moe', 'mom', 'mon', 'moo', 'mop', 'mos', 'mot', 'mow', 'mph', 'mps', 'mrs', 'mss', 'mts', 'mud', 'mug', 'mum', 'mys', 'nab', 'nag', 'nam', 'nan', 'nap', 'nas', 'nat', 'nay', 'nbc', 'nbs', 'ncc', 'nco', 'ncr', 'nds', 'ned', 'nee', 'nes', 'net', 'nev', 'new', 'nib', 'nih', 'nil', 'nip', 'nit', 'nix', 'nne', 'nnw', 'nob', 'nod', 'noe', 'noh', 'non', 'nor', 'nos', 'not', 'nov', 'now', 'nps', 'nrc', 'nsf', 'nth', 'nub', 'nun', 'nut', 'nws', 'nyc', 'nyu', 'oaf', 'oak', 'oar', 'oat', 'obs', 'oct', 'odd', 'ode', 'ods', 'oer', 'off', 'oft', 'ohm', 'oho', 'ohs', 'oil', 'oks', 'ola', 'old', 'one', 'ono', 'opt', 'ora', 'orb', 'ore', 'orr', 'ors', 'ott', 'our', 'out', 'ova', 'owe', 'owl', 'own', 'oxs', 'pad', 'pal', 'pam', 'pan', 'pap', 'par', 'pas', 'pat', 'paw', 'pax', 'pay', 'paz', 'pbs', 'pcs', 'pdp', 'pds', 'pea', 'pee', 'peg', 'pei', 'pen', 'pep', 'per', 'pes', 'pet', 'pew', 'phd', 'phi', 'pie', 'pig', 'pin', 'pip', 'pis', 'pit', 'pjs', 'ply', 'pms', 'pod', 'poe', 'poi', 'pol', 'pop', 'pos', 'pot', 'pow', 'pox', 'ppm', 'pro', 'pry', 'psi', 'pss', 'pta', 'pts', 'pub', 'puc', 'pug', 'pun', 'pup', 'pus', 'put', 'pvc', 'pym', 'pyx', 'qed', 'qom', 'qua', 'quo', 'rae', 'rag', 'raj', 'ram', 'ran', 'rap', 'ras', 'rat', 'raw', 'ray', 'rbs', 'rca', 'reb', 'red', 'ref', 'rep', 'res', 'ret', 'rev', 'rex', 'rho', 'rhs', 'rib', 'rid', 'rig', 'rim', 'rio', 'rip', 'rna', 'rns', 'rob', 'rod', 'roe', 'ron', 'rot', 'rou', 'row', 'roy', 'rpm', 'rte', 'rub', 'rue', 'rug', 'rum', 'run', 'rus', 'rut', 'rvs', 'rye', 'sac', 'sad', 'sag', 'sal', 'sam', 'san', 'sao', 'sap', 'sat', 'saw', 'sax', 'say', 'sbs', 'sci', 'scm', 'scs', 'sea', 'sec', 'see', 'sen', 'seq', 'ses', 'set', 'sew', 'sex', 'sgt', 'she', 'shu', 'shy', 'sib', 'sic', 'sid', 'sin', 'sip', 'sir', 'sis', 'sit', 'six', 'ski', 'sky', 'sly', 'sms', 'sns', 'sob', 'soc', 'sod', 'sol', 'son', 'sop', 'sos', 'sot', 'sou', 'sow', 'sox', 'soy', 'spa', 'spy', 'sri', 'srs', 'sse', 'sst', 'ssw', 'stu', 'sty', 'sub', 'sud', 'sue', 'sui', 'sum', 'sun', 'sup', 'sus', 'sws', 'tab', 'tad', 'tag', 'tam', 'tan', 'tao', 'tap', 'tar', 'tas', 'tat', 'tau', 'tax', 'tbs', 'tcs', 'tea', 'ted', 'tee', 'tel', 'ten', 'tet', 'tex', 'the', 'tho', 'ths', 'thx', 'thy', 'tia', 'tic', 'tid', 'tie', 'til', 'tim', 'tin', 'tip', 'tis', 'tit', 'tls', 'tms', 'tnt', 'tod', 'toe', 'tog', 'tom', 'ton', 'too', 'top', 'tor', 'tot', 'tow', 'toy', 'trw', 'try', 'ttl', 'tty', 'tub', 'tug', 'tum', 'tun', 'tut', 'tux', 'tva', 'tvs', 'twa', 'two', 'twx', 'tys', 'ubs', 'ufa', 'ugh', 'uhf', 'uks', 'ump', 'uns', 'ups', 'uri', 'urn', 'usa', 'usc', 'use', 'usn', 'uss', 'ute', 'uts', 'uvs', 'uzi', 'val', 'van', 'vat', 'vds', 'vee', 'vet', 'vex', 'vhf', 'via', 'vic', 'vie', 'vii', 'vim', 'vis', 'viz', 'von', 'vow', 'wac', 'wad', 'wag', 'wah', 'wan', 'war', 'was', 'wax', 'way', 'web', 'wed', 'wee', 'wei', 'wen', 'wet', 'who', 'why', 'wig', 'wii', 'win', 'wis', 'wit', 'wiz', 'wms', 'woe', 'wok', 'won', 'woo', 'wop', 'wot', 'wow', 'wry', 'wus', 'wyo', 'xes', 'xls', 'yah', 'yak', 'yam', 'yap', 'yaw', 'ybs', 'yea', 'yen', 'yep', 'yes', 'yet', 'yew', 'yin', 'yip', 'yon', 'you', 'yow', 'yuh', 'yuk', 'yum', 'yup', 'zag', 'zan', 'zap', 'zed', 'zen', 'zig', 'zip', 'zit', 'zns', 'zoe', 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'procrastinating', 'procrastination', 'procrastinators', 'productivenesss', 'professionalism', 'prognosticating', 'prognostication', 'prognosticators', 'programmability', 'prohibitionists', 'proportionality', 'proportionately', 'propositionally', 'proprietorships', 'protectivenesss', 'psychoanalysing', 'psychoanalysiss', 'psychoanalyzing', 'psychologically', 'psychotherapies', 'psychotherapist', 'quadruplicating', 'quantifications', 'quasicontinuous', 'quasistationary', 'radiotelephones', 'radiotherapists', 'rationalisation', 'rationalization', 'reapportionment', 'reasonablenesss', 'rebelliousnesss', 'recapitulations', 'recognizability', 'recommendations', 'reconciliations', 'reconfiguration', 'reconnaissances', 'reconsideration', 'reconstructions', 'redistributions', 'rehabilitations', 'relentlessnesss', 'relinquishments', 'reorganisations', 'reorganizations', 'representations', 'representatives', 'reproducibility', 'resourcefulness', 'respectabilitys', 'responsibilitys', 'responsibleness', 'responsivenesss', 'retransmissions', 'retrospectively', 'revitalisations', 'revitalizations', 'revivifications', 'revolutionaries', 'revolutionising', 'revolutionizing', 'ridiculousnesss', 'rumpelstiltskin', 'sanctifications', 'sanctimoniously', 'schoolmistresss', 'schwarzeneggers', 'secularisations', 'secularizations', 'segregationists', 'semipermanently', 'sensationalisms', 'sensationalists', 'sentimentalised', 'sentimentalises', 'sentimentalisms', 'sentimentalists', 'sentimentalitys', 'sentimentalized', 'sentimentalizes', 'septuagenarians', 'sequentializing', 'servomechanisms', 'simplifications', 'slaughterhouses', 'sledgehammering', 'solidifications', 'sophistications', 'specialisations', 'specializations', 'standardisation', 'standardization', 'staphylococcuss', 'straightforward', 'straightjackets', 'straitjacketing', 'stratifications', 'stultifications', 'subcomputations', 'substantiations', 'substitutionary', 'superabundances', 'superconductors', 'superficialitys', 'superintendence', 'superintendency', 'superintendents', 'supernumeraries', 'superstitiously', 'superstructures', 'surreptitiously', 'susceptibilitys', 'syllabification', 'sympathetically', 'synchronisation', 'synchronization', 'technologically', 'telecommunicate', 'teleconferenced', 'teleconferences', 'telephotography', 'teletypesetting', 'teletypewriters', 'temperamentally', 'tempestuousness', 'tendentiousness', 'therapeutically', 'thermodynamicss', 'thoughtfulnesss', 'thoughtlessness', 'tonsillectomies', 'totalitarianism', 'traditionalists', 'transfiguration', 'transformations', 'translatability', 'transliterating', 'transliteration', 'transmigrations', 'transplantation', 'transportations', 'trichloroacetic', 'trichloroethane', 'troubleshooters', 'troubleshooting', 'trustworthiness', 'typographically', 'tyrannosauruses', 'ultracentrifuge', 'unacceptability', 'unaesthetically', 'unattainability', 'unauthenticated', 'unceremoniously', 'uncommunicative', 'uncomplimentary', 'uncomprehending', 'unconditionally', 'unconsciousness', 'uncontroversial', 'undemonstrative', 'underestimating', 'underestimation', 'underprivileged', 'undersecretarys', 'understandingly', 'understatements', 'undistinguished', 'unexceptionable', 'unfaithfulnesss', 'unfriendlinesss', 'ungratefulnesss', 'unimplementable', 'unintentionally', 'uninterestingly', 'uninterruptedly', 'unobjectionable', 'unpleasantnesss', 'unpronounceable', 'unquestioningly', 'unrealistically', 'unreconstructed', 'unrepresentable', 'unsophisticated', 'unsportsmanlike', 'unsubstantiated', 'verisimilitudes', 'vindictivenesss', 'voluptuousnesss', 'vulnerabilities', 'weatherproofing', 'weightlessnesss', 'whatchamacallit', 'whippersnappers', 'wollstonecrafts', 'wrongheadedness', 'zoroastrianisms', 'zubeneschamalis', 'acclimatisations', 'acclimatizations', 'acknowledgements', 'acquisitivenesss', 'administratively', 'agriculturalists', 'americanisations', 'americanizations', 'anaesthesiologys', 'anesthesiologist', 'antagonistically', 'anthropomorphism', 'antiredeposition', 'apprehensiveness', 'appropriatenesss', 'aristocratically', 'arteriosclerosis', 'asymptomatically', 'atherosclerosiss', 'australopithecus', 'authoritarianism', 'autobiographical', 'autofluorescence', 'bloodthirstiness', 'bureaucratically', 'canonicalization', 'cantankerousness', 'catastrophically', 'chancellorsville', 'characterisation', 'characterization', 'cinematographers', 'circumnavigating', 'circumnavigation', 'circumscriptions', 'circumstantially', 'cirmcumferential', 'comfortabilities', 'compartmentalise', 'compartmentalize', 'competitivenesss', 'computerisations', 'computerizations', 'confidentialitys', 'consequentiality', 'conservationists', 'constitutionally', 'constructibility', 'contemporariness', 'conventionalitys', 'conversationally', 'counterattacking', 'counterbalancing', 'counterclockwise', 'counterespionage', 'counterintuitive', 'crystallisations', 'crystallizations', 'crystallographer', 'crystallographic', 'czechoslovakians', 'decentralisation', 'decentralization', 'decontaminations', 'demagnetisations', 'demagnetizations', 'demilitarisation', 'demilitarization', 'democratisations', 'democratizations', 'deoxyribonucleic', 'departmentalised', 'departmentalises', 'departmentalized', 'departmentalizes', 'desensitisations', 'desensitizations', 'destructivenesss', 'diagrammatically', 'differentiations', 'discombobulating', 'discontinuations', 'discountenancing', 'disenfranchising', 'disentanglements', 'disfranchisement', 'disillusionments', 'disorganisations', 'disorganizations', 'disproportionate', 'disqualification', 'dissatisfactions', 'distinctivenesss', 'diversifications', 'draughtsmanships', 'electrifications', 'electromagnetism', 'enfranchisements', 'enthusiastically', 'environmentalism', 'environmentalist', 'excommunications', 'exemplifications', 'experimentations', 'extemporaneously', 'extraterrestrial', 'familiarisations', 'familiarizations', 'flibbertigibbets', 'gastrointestinal', 'halfheartednesss', 'hardheartednesss', 'heterosexualitys', 'hospitalisations', 'hospitalizations', 'huitzilopotchlis', 'humanitarianisms', 'hydroelectricity', 'hypersensitivity', 'hyperventilating', 'hyperventilation', 'impecuniousnesss', 'impenetrabilitys', 'imperturbability', 'implausibilities', 'inaccessibilitys', 'incompatibilitys', 'incomprehensible', 'incomprehensibly', 'incontrovertible', 'incontrovertibly', 'incorrigibilitys', 'incorruptibility', 'indemnifications', 'indiscriminately', 'indispensability', 'industriousnesss', 'ineffectivenesss', 'inextinguishable', 'inquisitivenesss', 'institutionalise', 'institutionalize', 'instrumentalists', 'instrumentalitys', 'instrumentations', 'insubordinations', 'insurrectionists', 'intellectualised', 'intellectualises', 'intellectualized', 'intellectualizes', 'intelligibilitys', 'intensifications', 'intercommunicate', 'interconnections', 'intercontinental', 'interdependences', 'internationalise', 'internationalism', 'internationality', 'internationalize', 'invulnerabilitys', 'irresponsibility', 'levelheadednesss', 'lightheartedness', 'maneuverabilitys', 'manoeuvrabilitys', 'materialisations', 'materializations', 'melodramatically', 'metamathematical', 'methodologically', 'microinstruction', 'microprogramming', 'miniaturisations', 'miniaturizations', 'misapprehensions', 'misappropriating', 'misappropriation', 'mischievousnesss', 'misconstructions', 'mispronunciation', 'misunderstanders', 'misunderstanding', 'multiculturalism', 'multidimensional', 'multifariousness', 'multimillionaire', 'multiprogramming', 'nationalisations', 'nationalizations', 'nearsightednesss', 'neighbourlinesss', 'netzahualcoyotls', 'neuropsychiatric', 'neurotransmitter', 'nondestructively', 'nondeterminately', 'nondeterministic', 'noninterferences', 'noninterventions', 'nonorthogonality', 'nonprofessionals', 'nonproliferation', 'obstructivenesss', 'ophthalmologists', 'organizationally', 'overcompensating', 'overcompensation', 'overenthusiastic', 'overspecialising', 'overspecializing', 'palaeontologists', 'parameterization', 'paraprofessional', 'parliamentarians', 'parthenogenesiss', 'personifications', 'phenomenological', 'phosphorescences', 'photographically', 'photojournalisms', 'photojournalists', 'phototypesetting', 'physiotherapists', 'plainclothesmans', 'plenipotentiarys', 'praiseworthiness', 'predetermination', 'preregistrations', 'presbyterianisms', 'presumptuousness', 'pretentiousnesss', 'procrastinations', 'professionalisms', 'prognostications', 'psychophysiology', 'psychotherapists', 'rambunctiousness', 'rationalisations', 'rationalizations', 'reapportionments', 'reclassification', 'reconfigurations', 'reconsiderations', 'reinterpretation', 'relativistically', 'representational', 'representatively', 'resourcefulnesss', 'responsibilities', 'rumpelstiltskins', 'schoolmistresses', 'semiprofessional', 'sentimentalising', 'sentimentalizing', 'shortsightedness', 'standardisations', 'standardizations', 'straightjacketed', 'substitutability', 'superintendences', 'superintendencys', 'syllabifications', 'synchronisations', 'synchronizations', 'teleconferencing', 'tempestuousnesss', 'tendentiousnesss', 'thoughtlessnesss', 'tintinnabulation', 'totalitarianisms', 'transcendentally', 'transconductance', 'transcontinental', 'transfigurations', 'transformational', 'transliterations', 'transplantations', 'transportability', 'troubleshootings', 'trustworthinesss', 'uncharacteristic', 'uncompromisingly', 'unconsciousnesss', 'unconstitutional', 'unconventionally', 'undersecretaries', 'undiscriminating', 'unidirectionally', 'unpredictability', 'unreasonableness', 'unrepresentative', 'unsatisfiability', 'unscrupulousness', 'weatherstripping', 'whatchamacallits', 'wrongheadednesss', 'anachronistically', 'anaesthesiologist', 'anesthesiologists', 'anthropologically', 'anthropomorphisms', 'apprehensivenesss', 'arteriosclerosiss', 'australopithecuss', 'authoritarianisms', 'authoritativeness', 'bloodthirstinesss', 'cantankerousnesss', 'chancellorsvilles', 'characterisations', 'characterizations', 'circumnavigations', 'commercialisation', 'commercialization', 'compartmentalised', 'compartmentalises', 'compartmentalized', 'compartmentalizes', 'comprehensibility', 'comprehensiveness', 'conceptualisation', 'conceptualization', 'congregationalist', 'conscientiousness', 'constitutionality', 'contemporaneously', 'contradistinction', 'contradistinguish', 'conversationalist', 'counterespionages', 'counterproductive', 'counterrevolution', 'decentralisations', 'decentralizations', 'decriminalisation', 'decriminalization', 'demilitarisations', 'demilitarizations', 'departmentalising', 'departmentalizing', 'deterministically', 'disadvantageously', 'disfranchisements', 'disinterestedness', 'disqualifications', 'electrocardiogram', 'electromagnetisms', 'environmentalisms', 'environmentalists', 'extraordinariness', 'extraterrestrials', 'heterogeneousness', 'hydroelectricitys', 'hypersensitivitys', 'hyperventilations', 'imperturbabilitys', 'inappropriateness', 'incompatibilities', 'inconsequentially', 'inconsiderateness', 'inconspicuousness', 'incorruptibilitys', 'indistinguishable', 'industrialisation', 'industrialization', 'institutionalised', 'institutionalises', 'institutionalized', 'institutionalizes', 'intellectualising', 'intellectualizing', 'intercommunicated', 'intercommunicates', 'interdepartmental', 'interdependencies', 'interdisciplinary', 'internationalised', 'internationalises', 'internationalisms', 'internationalized', 'internationalizes', 'interrelationship', 'irresponsibilitys', 'lexicographically', 'lightheartednesss', 'materialistically', 'microinstructions', 'misappropriations', 'miscellaneousness', 'misinterpretation', 'mispronunciations', 'misrepresentation', 'misunderstandings', 'multiculturalisms', 'multifariousnesss', 'multimillionaires', 'neurotransmitters', 'nondenominational', 'nonproliferations', 'overcompensations', 'parameterizations', 'paraprofessionals', 'particularisation', 'particularization', 'philanthropically', 'plenipotentiaries', 'praiseworthinesss', 'predeterminations', 'presumptuousnesss', 'probabilistically', 'psychotherapeutic', 'rambunctiousnesss', 'reinterpretations', 'reproducibilities', 'semiprofessionals', 'shortsightednesss', 'spectrophotometer', 'spectrophotometry', 'straightforwardly', 'straightjacketing', 'superconductivity', 'telecommunication', 'tintinnabulations', 'transcendentalism', 'transcendentalist', 'ultraconservative', 'uncontrollability', 'understandability', 'unidirectionality', 'unpredictabilitys', 'unreasonablenesss', 'unscrupulousnesss', 'anaesthesiologists', 'antifundamentalist', 'arteriolosclerosis', 'authoritativenesss', 'autosuggestibility', 'characteristically', 'chlorofluorocarbon', 'commercialisations', 'commercializations', 'compartmentalising', 'compartmentalizing', 'comprehensibilitys', 'comprehensivenesss', 'conceptualisations', 'conceptualizations', 'congregationalists', 'conscientiousnesss', 'consequentialities', 'constitutionalitys', 'contradistinctions', 'conversationalists', 'counterrevolutions', 'decriminalisations', 'decriminalizations', 'diethylstilbestrol', 'disenfranchisement', 'disproportionately', 'electrocardiograms', 'electrocardiograph', 'hypersensitivities', 'inconsideratenesss', 'inconspicuousnesss', 'industrialisations', 'industrializations', 'institutionalising', 'institutionalizing', 'interchangeability', 'intercommunicating', 'intercommunication', 'internationalising', 'internationalizing', 'interrelationships', 'misinterpretations', 'misrepresentations', 'oversimplification', 'particularisations', 'particularizations', 'phenomenologically', 'representationally', 'representativeness', 'spectrophotometric', 'superconductivitys', 'telecommunications', 'transcendentalisms', 'transcendentalists', 'transmogrification', 'transubstantiation', 'triphenylphosphine', 'ultraconservatives', 'anthropomorphically', 'chlorofluorocarbons', 'counterintelligence', 'disenfranchisements', 'electrocardiographs', 'incomprehensibility', 'interdenominational', 'nonrepresentational', 'oversimplifications', 'straightforwardness', 'telecommunicationss', 'transubstantiations', 'andrianampoinimerina', 'counterintelligences', 'counterrevolutionary', 'electroencephalogram', 'nondeterministically', 'uncharacteristically', 'andrianampoinimerinas', 'counterrevolutionarys', 'electroencephalograms', 'electroencephalograph', 'immunoelectrophoresis', 'counterrevolutionaries', 'electroencephalographs', 'electroencephalography', 'antidisestablishmentarianism'], fitness=<function Pletters>, number_of_solutions=1, chunksize=500)</span>
+</code></dt>
+<dd>
+<div class="desc"><p>Breaks a Polybius substitution cipher using a dictionary and
+frequency analysis</p>
+<pre><code class="language-python-repl">>>> polybius_break_mp(polybius_encipher('this is a test message for the ' 'polybius decipherment', 'elephant', 'abcde', 'abcde'), 'abcde', 'abcde', wordlist=['cat', 'elephant', 'kangaroo']) # doctest: +ELLIPSIS, +NORMALIZE_WHITESPACE
+(('elephant', <KeywordWrapAlphabet.from_a: 1>, 'abcde', 'abcde', False), -54.53880...)
+>>> polybius_break_mp(polybius_encipher('this is a test message for the ' 'polybius decipherment', 'elephant', 'abcde', 'abcde', column_first=True), 'abcde', 'abcde', wordlist=['cat', 'elephant', 'kangaroo']) # doctest: +ELLIPSIS, +NORMALIZE_WHITESPACE
+(('elephant', <KeywordWrapAlphabet.from_a: 1>, 'abcde', 'abcde', True), -54.53880...)
+>>> polybius_break_mp(polybius_encipher('this is a test message for the ' 'polybius decipherment', 'elephant', 'abcde', 'abcde', column_first=False), 'abcde', 'abcde', wordlist=['cat', 'elephant', 'kangaroo']) # doctest: +ELLIPSIS, +NORMALIZE_WHITESPACE
+(('elephant', <KeywordWrapAlphabet.from_a: 1>, 'abcde', 'abcde', False), -54.53880...)
+>>> polybius_break_mp(polybius_encipher('this is a test message for the ' 'polybius decipherment', 'elephant', 'abcde', 'pqrst', column_first=True), 'abcde', 'pqrst', wordlist=['cat', 'elephant', 'kangaroo']) # doctest: +ELLIPSIS, +NORMALIZE_WHITESPACE
+(('elephant', <KeywordWrapAlphabet.from_a: 1>, 'abcde', 'pqrst', True), -54.53880...)
+</code></pre></div>
+<details class="source">
+<summary>
+<span>Expand source code</span>
+</summary>
+<pre><code class="python">def polybius_break(message, column_labels, row_labels,
+ letters_to_merge=None,
+ wordlist=keywords, fitness=Pletters,
+ number_of_solutions=1, chunksize=500):
+ """Breaks a Polybius substitution cipher using a dictionary and
+ frequency analysis
+
+ >>> polybius_break_mp(polybius_encipher('this is a test message for the ' \
+ 'polybius decipherment', 'elephant', 'abcde', 'abcde'), \
+ 'abcde', 'abcde', \
+ wordlist=['cat', 'elephant', 'kangaroo']) # doctest: +ELLIPSIS, +NORMALIZE_WHITESPACE
+ (('elephant', <KeywordWrapAlphabet.from_a: 1>, 'abcde', 'abcde', False), \
+ -54.53880...)
+ >>> polybius_break_mp(polybius_encipher('this is a test message for the ' \
+ 'polybius decipherment', 'elephant', 'abcde', 'abcde', column_first=True), \
+ 'abcde', 'abcde', \
+ wordlist=['cat', 'elephant', 'kangaroo']) # doctest: +ELLIPSIS, +NORMALIZE_WHITESPACE
+ (('elephant', <KeywordWrapAlphabet.from_a: 1>, 'abcde', 'abcde', True), \
+ -54.53880...)
+ >>> polybius_break_mp(polybius_encipher('this is a test message for the ' \
+ 'polybius decipherment', 'elephant', 'abcde', 'abcde', column_first=False), \
+ 'abcde', 'abcde', \
+ wordlist=['cat', 'elephant', 'kangaroo']) # doctest: +ELLIPSIS, +NORMALIZE_WHITESPACE
+ (('elephant', <KeywordWrapAlphabet.from_a: 1>, 'abcde', 'abcde', False), \
+ -54.53880...)
+ >>> polybius_break_mp(polybius_encipher('this is a test message for the ' \
+ 'polybius decipherment', 'elephant', 'abcde', 'pqrst', column_first=True), \
+ 'abcde', 'pqrst', \
+ wordlist=['cat', 'elephant', 'kangaroo']) # doctest: +ELLIPSIS, +NORMALIZE_WHITESPACE
+ (('elephant', <KeywordWrapAlphabet.from_a: 1>, 'abcde', 'pqrst', True), \
+ -54.53880...)
+ """
+ if letters_to_merge is None:
+ letters_to_merge = {'j': 'i'}
+ with multiprocessing.Pool() as pool:
+ helper_args = [(message, word, wrap,
+ column_labels, row_labels, column_first,
+ letters_to_merge,
+ fitness)
+ for word in wordlist
+ for wrap in KeywordWrapAlphabet
+ for column_first in [False, True]]
+ # Gotcha: the helper function here needs to be defined at the top level
+ # (limitation of Pool.starmap)
+ breaks = pool.starmap(polybius_break_worker, helper_args, chunksize)
+ if number_of_solutions == 1:
+ return max(breaks, key=lambda k: k[1])
+ else:
+ return sorted(breaks, key=lambda k: k[1], reverse=True)[:number_of_solutions]</code></pre>
+</details>
+</dd>
+<dt id="szyfrow.polybius.polybius_break_worker"><code class="name flex">
+<span>def <span class="ident">polybius_break_worker</span></span>(<span>message, keyword, wrap_alphabet, column_order, row_order, column_first, letters_to_merge, fitness)</span>
+</code></dt>
+<dd>
+<div class="desc"></div>
+<details class="source">
+<summary>
+<span>Expand source code</span>
+</summary>
+<pre><code class="python">def polybius_break_worker(message, keyword, wrap_alphabet,
+ column_order, row_order, column_first,
+ letters_to_merge,
+ fitness):
+ plaintext = polybius_decipher(message, keyword,
+ column_order, row_order,
+ column_first=column_first,
+ letters_to_merge=letters_to_merge,
+ wrap_alphabet=wrap_alphabet)
+ if plaintext:
+ fit = fitness(plaintext)
+ else:
+ fit = float('-inf')
+ return (keyword, wrap_alphabet, column_order, row_order, column_first), fit</code></pre>
+</details>
+</dd>
+<dt id="szyfrow.polybius.polybius_decipher"><code class="name flex">
+<span>def <span class="ident">polybius_decipher</span></span>(<span>message, keyword, column_order, row_order, column_first=False, letters_to_merge=None, wrap_alphabet=KeywordWrapAlphabet.from_a)</span>
+</code></dt>
+<dd>
+<div class="desc"><p>Decipher a message with a Polybius cipher, using a keyword to rearrange
+the alphabet</p>
+<pre><code class="language-python-repl">>>> polybius_decipher('bbdaccddccddeabbaaddbbecaaddddeabcaaacadcdbbdaaaca' 'adbadecbccedddebaadbcccadaaacdecaaabbb', 'elephant', 'abcde', 'abcde', column_first=False)
+'toisisvtestxessvbephktoefhnugiysweqifoekxelt'
+</code></pre>
+<pre><code class="language-python-repl">>>> polybius_decipher('bbdaccddccddeabbaaddbbecaaddddeabcaaacadcdbbdaaaca' 'adbadecbccedddebaadbcccadaaacdecaaabbb', 'elephant', 'abcde', 'abcde', column_first=True)
+'thisisatestmessageforthepolybiusdecipherment'
+</code></pre></div>
+<details class="source">
+<summary>
+<span>Expand source code</span>
+</summary>
+<pre><code class="python">def polybius_decipher(message, keyword, column_order, row_order,
+ column_first=False,
+ letters_to_merge=None, wrap_alphabet=KeywordWrapAlphabet.from_a):
+ """Decipher a message with a Polybius cipher, using a keyword to rearrange
+ the alphabet
+
+ >>> polybius_decipher('bbdaccddccddeabbaaddbbecaaddddeabcaaacadcdbbdaaaca'\
+ 'adbadecbccedddebaadbcccadaaacdecaaabbb', 'elephant', 'abcde', 'abcde', \
+ column_first=False)
+ 'toisisvtestxessvbephktoefhnugiysweqifoekxelt'
+
+ >>> polybius_decipher('bbdaccddccddeabbaaddbbecaaddddeabcaaacadcdbbdaaaca'\
+ 'adbadecbccedddebaadbcccadaaacdecaaabbb', 'elephant', 'abcde', 'abcde', \
+ column_first=True)
+ 'thisisatestmessageforthepolybiusdecipherment'
+ """
+ grid = polybius_reverse_grid(keyword, column_order, row_order, letters_to_merge, wrap_alphabet)
+ column_index_type = type(column_order[0])
+ row_index_type = type(row_order[0])
+ if column_first:
+ pairs = [(column_index_type(p[1]), row_index_type(p[0]))
+ for p in chunks(message, 2)]
+ else:
+ pairs = [(row_index_type(p[0]), column_index_type(p[1]))
+ for p in chunks(message, 2)]
+ return cat(grid[p] for p in pairs if p in grid)</code></pre>
+</details>
+</dd>
+<dt id="szyfrow.polybius.polybius_encipher"><code class="name flex">
+<span>def <span class="ident">polybius_encipher</span></span>(<span>message, keyword, column_order, row_order, column_first=False, letters_to_merge=None, wrap_alphabet=KeywordWrapAlphabet.from_a)</span>
+</code></dt>
+<dd>
+<div class="desc"><p>Encipher a message with Polybius cipher, using a keyword to rearrange
+the alphabet</p>
+<pre><code class="language-python-repl">>>> polybius_encipher('this is a test message for the ' 'polybius decipherment', 'elephant', [1, 2, 3, 4, 5], [1, 2, 3, 4, 5], wrap_alphabet=KeywordWrapAlphabet.from_last)
+'2214445544551522115522511155551543114252542214111352123234442355411135441314115451112122'
+>>> polybius_encipher('this is a test message for the ' 'polybius decipherment', 'elephant', 'abcde', 'abcde', column_first=False)
+'bbadccddccddaebbaaddbbceaaddddaecbaacadadcbbadaaacdaabedbcccdeddbeaabdccacadaadcceaababb'
+>>> polybius_encipher('this is a test message for the ' 'polybius decipherment', 'elephant', 'abcde', 'abcde', column_first=True)
+'bbdaccddccddeabbaaddbbecaaddddeabcaaacadcdbbdaaacaadbadecbccedddebaadbcccadaaacdecaaabbb'
+</code></pre></div>
+<details class="source">
+<summary>
+<span>Expand source code</span>
+</summary>
+<pre><code class="python">def polybius_encipher(message, keyword, column_order, row_order,
+ column_first=False,
+ letters_to_merge=None, wrap_alphabet=KeywordWrapAlphabet.from_a):
+ """Encipher a message with Polybius cipher, using a keyword to rearrange
+ the alphabet
+
+ >>> polybius_encipher('this is a test message for the ' \
+ 'polybius decipherment', 'elephant', \
+ [1, 2, 3, 4, 5], [1, 2, 3, 4, 5], \
+ wrap_alphabet=KeywordWrapAlphabet.from_last)
+ '2214445544551522115522511155551543114252542214111352123234442355411135441314115451112122'
+ >>> polybius_encipher('this is a test message for the ' \
+ 'polybius decipherment', 'elephant', 'abcde', 'abcde', \
+ column_first=False)
+ 'bbadccddccddaebbaaddbbceaaddddaecbaacadadcbbadaaacdaabedbcccdeddbeaabdccacadaadcceaababb'
+ >>> polybius_encipher('this is a test message for the ' \
+ 'polybius decipherment', 'elephant', 'abcde', 'abcde', \
+ column_first=True)
+ 'bbdaccddccddeabbaaddbbecaaddddeabcaaacadcdbbdaaacaadbadecbccedddebaadbcccadaaacdecaaabbb'
+ """
+ grid = polybius_grid(keyword, column_order, row_order, letters_to_merge, wrap_alphabet)
+ return cat(polybius_flatten(grid[l], column_first)
+ for l in message
+ if l in grid)</code></pre>
+</details>
+</dd>
+<dt id="szyfrow.polybius.polybius_flatten"><code class="name flex">
+<span>def <span class="ident">polybius_flatten</span></span>(<span>pair, column_first)</span>
+</code></dt>
+<dd>
+<div class="desc"><p>Convert a pair of characters into a single string.</p></div>
+<details class="source">
+<summary>
+<span>Expand source code</span>
+</summary>
+<pre><code class="python">def polybius_flatten(pair, column_first):
+ """Convert a pair of characters into a single string."""
+ if column_first:
+ return str(pair[1]) + str(pair[0])
+ else:
+ return str(pair[0]) + str(pair[1])</code></pre>
+</details>
+</dd>
+<dt id="szyfrow.polybius.polybius_grid"><code class="name flex">
+<span>def <span class="ident">polybius_grid</span></span>(<span>keyword, column_order, row_order, letters_to_merge=None, wrap_alphabet=KeywordWrapAlphabet.from_a)</span>
+</code></dt>
+<dd>
+<div class="desc"><p>Grid for a Polybius cipher, using a keyword to rearrange the
+alphabet.</p>
+<pre><code class="language-python-repl">>>> polybius_grid('a', 'abcde', 'abcde')['x'] == ('e', 'c')
+True
+>>> polybius_grid('elephant', 'abcde', 'abcde')['e'] == ('a', 'a')
+True
+>>> polybius_grid('elephant', 'abcde', 'abcde')['b'] == ('b', 'c')
+True
+</code></pre></div>
+<details class="source">
+<summary>
+<span>Expand source code</span>
+</summary>
+<pre><code class="python">def polybius_grid(keyword, column_order, row_order, letters_to_merge=None,
+ wrap_alphabet=KeywordWrapAlphabet.from_a):
+ """Grid for a Polybius cipher, using a keyword to rearrange the
+ alphabet.
+
+
+ >>> polybius_grid('a', 'abcde', 'abcde')['x'] == ('e', 'c')
+ True
+ >>> polybius_grid('elephant', 'abcde', 'abcde')['e'] == ('a', 'a')
+ True
+ >>> polybius_grid('elephant', 'abcde', 'abcde')['b'] == ('b', 'c')
+ True
+ """
+ alphabet = keyword_cipher_alphabet_of(keyword, wrap_alphabet=wrap_alphabet)
+ if letters_to_merge is None:
+ letters_to_merge = {'j': 'i'}
+ grid = {l: k
+ for k, l in zip([(c, r) for c in column_order for r in row_order],
+ [l for l in alphabet if l not in letters_to_merge])}
+ for l in letters_to_merge:
+ grid[l] = grid[letters_to_merge[l]]
+ return grid</code></pre>
+</details>
+</dd>
+<dt id="szyfrow.polybius.polybius_reverse_grid"><code class="name flex">
+<span>def <span class="ident">polybius_reverse_grid</span></span>(<span>keyword, column_order, row_order, letters_to_merge=None, wrap_alphabet=KeywordWrapAlphabet.from_a)</span>
+</code></dt>
+<dd>
+<div class="desc"><p>Grid for decrypting using a Polybius cipher, using a keyword to
+rearrange the alphabet.</p>
+<pre><code class="language-python-repl">>>> polybius_reverse_grid('a', 'abcde', 'abcde')['e', 'c'] == 'x'
+True
+>>> polybius_reverse_grid('elephant', 'abcde', 'abcde')['a', 'a'] == 'e'
+True
+>>> polybius_reverse_grid('elephant', 'abcde', 'abcde')['b', 'c'] == 'b'
+True
+</code></pre></div>
+<details class="source">
+<summary>
+<span>Expand source code</span>
+</summary>
+<pre><code class="python">def polybius_reverse_grid(keyword, column_order, row_order, letters_to_merge=None,
+ wrap_alphabet=KeywordWrapAlphabet.from_a):
+ """Grid for decrypting using a Polybius cipher, using a keyword to
+ rearrange the alphabet.
+
+ >>> polybius_reverse_grid('a', 'abcde', 'abcde')['e', 'c'] == 'x'
+ True
+ >>> polybius_reverse_grid('elephant', 'abcde', 'abcde')['a', 'a'] == 'e'
+ True
+ >>> polybius_reverse_grid('elephant', 'abcde', 'abcde')['b', 'c'] == 'b'
+ True
+ """
+ alphabet = keyword_cipher_alphabet_of(keyword, wrap_alphabet=wrap_alphabet)
+ if letters_to_merge is None:
+ letters_to_merge = {'j': 'i'}
+ grid = {k: l
+ for k, l in zip([(c, r) for c in column_order for r in row_order],
+ [l for l in alphabet if l not in letters_to_merge])}
+ return grid </code></pre>
+</details>
+</dd>
+<dt id="szyfrow.polybius.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.polybius.cat" href="#szyfrow.polybius.cat">cat</a></code></li>
+<li><code><a title="szyfrow.polybius.lcat" href="#szyfrow.polybius.lcat">lcat</a></code></li>
+<li><code><a title="szyfrow.polybius.polybius_break" href="#szyfrow.polybius.polybius_break">polybius_break</a></code></li>
+<li><code><a title="szyfrow.polybius.polybius_break_worker" href="#szyfrow.polybius.polybius_break_worker">polybius_break_worker</a></code></li>
+<li><code><a title="szyfrow.polybius.polybius_decipher" href="#szyfrow.polybius.polybius_decipher">polybius_decipher</a></code></li>
+<li><code><a title="szyfrow.polybius.polybius_encipher" href="#szyfrow.polybius.polybius_encipher">polybius_encipher</a></code></li>
+<li><code><a title="szyfrow.polybius.polybius_flatten" href="#szyfrow.polybius.polybius_flatten">polybius_flatten</a></code></li>
+<li><code><a title="szyfrow.polybius.polybius_grid" href="#szyfrow.polybius.polybius_grid">polybius_grid</a></code></li>
+<li><code><a title="szyfrow.polybius.polybius_reverse_grid" href="#szyfrow.polybius.polybius_reverse_grid">polybius_reverse_grid</a></code></li>
+<li><code><a title="szyfrow.polybius.wcat" href="#szyfrow.polybius.wcat">wcat</a></code></li>
+</ul>
+</li>
+</ul>
+</nav>
+</main>
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+<header>
+<h1 class="title">Module <code>szyfrow.railfence</code></h1>
+</header>
+<section id="section-intro">
+<p><a href="https://en.wikipedia.org/wiki/Rail_fence_cipher">Railfence transposition cipher</a>.</p>
+<p>Works by splitting the text into sections, then reading across them to
+generate the rows in the cipher. The rows are then combined to form the
+ciphertext.</p>
+<p>Example: the plaintext "hellotherefriends", with a height of four, written
+out in the railfence as
+h h i
+etere*
+lorfns
+l e d
+(with the * showing the one character to finish the last section).
+Each 'section' is two columns, but unfolded. In the example, the first
+section is 'hellot'.</p>
+<details class="source">
+<summary>
+<span>Expand source code</span>
+</summary>
+<pre><code class="python">"""[Railfence transposition cipher](https://en.wikipedia.org/wiki/Rail_fence_cipher).
+
+Works by splitting the text into sections, then reading across them to
+generate the rows in the cipher. The rows are then combined to form the
+ciphertext.
+
+Example: the plaintext "hellotherefriends", with a height of four, written
+out in the railfence as
+ h h i
+ etere*
+ lorfns
+ l e d
+(with the * showing the one character to finish the last section).
+Each 'section' is two columns, but unfolded. In the example, the first
+section is 'hellot'.
+"""
+import math
+from enum import Enum
+from itertools import starmap, zip_longest
+from szyfrow.support.utilities import *
+from szyfrow.support.language_models import *
+
+
+def railfence_encipher(message, height, fillvalue=''):
+ """Railfence cipher.
+ Works by splitting the text into sections, then reading across them to
+ generate the rows in the cipher. The rows are then combined to form the
+ ciphertext.
+
+ Example: the plaintext "hellotherefriends", with a height of four, written
+ out in the railfence as
+ h h i
+ etere*
+ lorfns
+ l e d
+ (with the * showing the one character to finish the last section).
+ Each 'section' is two columns, but unfolded. In the example, the first
+ section is 'hellot'.
+
+ >>> railfence_encipher('hellothereavastmeheartiesthisisalongpieceoftextfortestingrailfenceciphers', 2, fillvalue='!')
+ 'hlohraateerishsslnpeefetotsigaleccpeselteevsmhatetiiaogicotxfretnrifneihr!'
+ >>> railfence_encipher('hellothereavastmeheartiesthisisalongpieceoftextfortestingrailfenceciphers', 3, fillvalue='!')
+ 'horaersslpeeosglcpselteevsmhatetiiaogicotxfretnrifneihr!!lhateihsnefttiaece!'
+ >>> railfence_encipher('hellothereavastmeheartiesthisisalongpieceoftextfortestingrailfenceciphers', 5, fillvalue='!')
+ 'hresleogcseeemhetaocofrnrner!!lhateihsnefttiaece!!ltvsatiigitxetifih!!oarspeslp!'
+ >>> railfence_encipher('hellothereavastmeheartiesthisisalongpieceoftextfortestingrailfenceciphers', 10, fillvalue='!')
+ 'hepisehagitnr!!lernesge!!lmtocerh!!otiletap!!tseaorii!!hassfolc!!evtitffe!!rahsetec!!eixn!'
+ >>> railfence_encipher('hellothereavastmeheartiesthisisalongpieceoftextfortestingrailfenceciphers', 3)
+ 'horaersslpeeosglcpselteevsmhatetiiaogicotxfretnrifneihrlhateihsnefttiaece'
+ >>> railfence_encipher('hellothereavastmeheartiesthisisalongpieceoftextfortestingrailfenceciphers', 5)
+ 'hresleogcseeemhetaocofrnrnerlhateihsnefttiaeceltvsatiigitxetifihoarspeslp'
+ >>> railfence_encipher('hellothereavastmeheartiesthisisalongpieceoftextfortestingrailfenceciphers', 7)
+ 'haspolsevsetgifrifrlatihnettaeelemtiocxernhorersleesgcptehaiaottneihesfic'
+ """
+ sections = chunks(message, (height - 1) * 2, fillvalue=fillvalue)
+ n_sections = len(sections)
+ # Add the top row
+ rows = [cat([s[0] for s in sections])]
+ # process the middle rows of the grid
+ for r in range(1, height-1):
+ rows += [cat([s[r:r+1] + s[height*2-r-2:height*2-r-1] for s in sections])]
+ # process the bottom row
+ rows += [cat([s[height - 1:height] for s in sections])]
+ # rows += [wcat([s[height - 1] for s in sections])]
+ return cat(rows)
+
+def railfence_decipher(message, height, fillvalue=''):
+ """Railfence decipher.
+ Works by reconstructing the grid used to generate the ciphertext, then
+ unfolding the sections so the text can be concatenated together.
+
+ Example: given the ciphertext 'hhieterelorfnsled' and a height of 4, first
+ work out that the second row has a character missing, find the rows of the
+ grid, then split the section into its two columns.
+
+ 'hhieterelorfnsled' is split into
+ h h i
+ etere
+ lorfns
+ l e d
+ (spaces added for clarity), which is stored in 'rows'. This is then split
+ into 'down_rows' and 'up_rows':
+
+ down_rows:
+ hhi
+ eee
+ lrn
+ led
+
+ up_rows:
+ tr
+ ofs
+
+ These are then zipped together (after the up_rows are reversed) to recover
+ the plaintext.
+
+ Most of the procedure is about finding the correct lengths for each row then
+ splitting the ciphertext into those rows.
+
+ >>> railfence_decipher('hlohraateerishsslnpeefetotsigaleccpeselteevsmhatetiiaogicotxfretnrifneihr!', 2).strip('!')
+ 'hellothereavastmeheartiesthisisalongpieceoftextfortestingrailfenceciphers'
+ >>> railfence_decipher('horaersslpeeosglcpselteevsmhatetiiaogicotxfretnrifneihr!!lhateihsnefttiaece!', 3).strip('!')
+ 'hellothereavastmeheartiesthisisalongpieceoftextfortestingrailfenceciphers'
+ >>> railfence_decipher('hresleogcseeemhetaocofrnrner!!lhateihsnefttiaece!!ltvsatiigitxetifih!!oarspeslp!', 5).strip('!')
+ 'hellothereavastmeheartiesthisisalongpieceoftextfortestingrailfenceciphers'
+ >>> railfence_decipher('hepisehagitnr!!lernesge!!lmtocerh!!otiletap!!tseaorii!!hassfolc!!evtitffe!!rahsetec!!eixn!', 10).strip('!')
+ 'hellothereavastmeheartiesthisisalongpieceoftextfortestingrailfenceciphers'
+ >>> railfence_decipher('horaersslpeeosglcpselteevsmhatetiiaogicotxfretnrifneihrlhateihsnefttiaece', 3)
+ 'hellothereavastmeheartiesthisisalongpieceoftextfortestingrailfenceciphers'
+ >>> railfence_decipher('hresleogcseeemhetaocofrnrnerlhateihsnefttiaeceltvsatiigitxetifihoarspeslp', 5)
+ 'hellothereavastmeheartiesthisisalongpieceoftextfortestingrailfenceciphers'
+ >>> railfence_decipher('haspolsevsetgifrifrlatihnettaeelemtiocxernhorersleesgcptehaiaottneihesfic', 7)
+ 'hellothereavastmeheartiesthisisalongpieceoftextfortestingrailfenceciphers'
+ """
+ # find the number and size of the sections, including how many characters
+ # are missing for a full grid
+ n_sections = math.ceil(len(message) / ((height - 1) * 2))
+ padding_to_add = n_sections * (height - 1) * 2 - len(message)
+ # row_lengths are for the both up rows and down rows
+ row_lengths = [n_sections] * (height - 1) * 2
+ for i in range((height - 1) * 2 - 1, (height - 1) * 2 - (padding_to_add + 1), -1):
+ row_lengths[i] -= 1
+ # folded_rows are the combined row lengths in the middle of the railfence
+ folded_row_lengths = [row_lengths[0]]
+ for i in range(1, height-1):
+ folded_row_lengths += [row_lengths[i] + row_lengths[-i]]
+ folded_row_lengths += [row_lengths[height - 1]]
+ # find the rows that form the railfence grid
+ rows = []
+ row_start = 0
+ for i in folded_row_lengths:
+ rows += [message[row_start:row_start + i]]
+ row_start += i
+ # split the rows into the 'down_rows' (those that form the first column of
+ # a section) and the 'up_rows' (those that ofrm the second column of a
+ # section).
+ down_rows = [rows[0]]
+ up_rows = []
+ for i in range(1, height-1):
+ down_rows += [cat([c for n, c in enumerate(rows[i]) if n % 2 == 0])]
+ up_rows += [cat([c for n, c in enumerate(rows[i]) if n % 2 == 1])]
+ down_rows += [rows[-1]]
+ up_rows.reverse()
+ return cat(c for r in zip_longest(*(down_rows + up_rows), fillvalue='') for c in r)
+
+
+def railfence_break(message, max_key_length=20,
+ fitness=Pbigrams, chunksize=500):
+ """Breaks a railfence cipher using a range of lengths and
+ n-gram frequency analysis
+
+ >>> railfence_break(railfence_encipher(sanitise( \
+ "It is a truth universally acknowledged, that a single man in \
+ possession of a good fortune, must be in want of a wife. However \
+ little known the feelings or views of such a man may be on his \
+ first entering a neighbourhood, this truth is so well fixed in \
+ the minds of the surrounding families, that he is considered the \
+ rightful property of some one or other of their daughters."), \
+ 7)) # doctest: +ELLIPSIS
+ (7, -709.46467226...)
+ >>> railfence_break(railfence_encipher(sanitise( \
+ "It is a truth universally acknowledged, that a single man in \
+ possession of a good fortune, must be in want of a wife. However \
+ little known the feelings or views of such a man may be on his \
+ first entering a neighbourhood, this truth is so well fixed in \
+ the minds of the surrounding families, that he is considered the \
+ rightful property of some one or other of their daughters."), \
+ 7), \
+ fitness=Ptrigrams) # doctest: +ELLIPSIS
+ (7, -997.0129085...)
+ """
+ def worker(message, height, fitness):
+ plaintext = railfence_decipher(message, height)
+ fit = fitness(plaintext)
+ return height, fit
+
+ sanitised_message = sanitise(message)
+ results = starmap(worker, [(sanitised_message, i, fitness)
+ for i in range(2, max_key_length+1)])
+ return max(results, key=lambda k: k[1])</code></pre>
+</details>
+</section>
+<section>
+</section>
+<section>
+</section>
+<section>
+<h2 class="section-title" id="header-functions">Functions</h2>
+<dl>
+<dt id="szyfrow.railfence.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.railfence.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.railfence.railfence_break"><code class="name flex">
+<span>def <span class="ident">railfence_break</span></span>(<span>message, max_key_length=20, fitness=<function Pbigrams>, chunksize=500)</span>
+</code></dt>
+<dd>
+<div class="desc"><p>Breaks a railfence cipher using a range of lengths and
+n-gram frequency analysis</p>
+<pre><code class="language-python-repl">>>> railfence_break(railfence_encipher(sanitise( "It is a truth universally acknowledged, that a single man in possession of a good fortune, must be in want of a wife. However little known the feelings or views of such a man may be on his first entering a neighbourhood, this truth is so well fixed in the minds of the surrounding families, that he is considered the rightful property of some one or other of their daughters."), 7)) # doctest: +ELLIPSIS
+(7, -709.46467226...)
+>>> railfence_break(railfence_encipher(sanitise( "It is a truth universally acknowledged, that a single man in possession of a good fortune, must be in want of a wife. However little known the feelings or views of such a man may be on his first entering a neighbourhood, this truth is so well fixed in the minds of the surrounding families, that he is considered the rightful property of some one or other of their daughters."), 7), fitness=Ptrigrams) # doctest: +ELLIPSIS
+(7, -997.0129085...)
+</code></pre></div>
+<details class="source">
+<summary>
+<span>Expand source code</span>
+</summary>
+<pre><code class="python">def railfence_break(message, max_key_length=20,
+ fitness=Pbigrams, chunksize=500):
+ """Breaks a railfence cipher using a range of lengths and
+ n-gram frequency analysis
+
+ >>> railfence_break(railfence_encipher(sanitise( \
+ "It is a truth universally acknowledged, that a single man in \
+ possession of a good fortune, must be in want of a wife. However \
+ little known the feelings or views of such a man may be on his \
+ first entering a neighbourhood, this truth is so well fixed in \
+ the minds of the surrounding families, that he is considered the \
+ rightful property of some one or other of their daughters."), \
+ 7)) # doctest: +ELLIPSIS
+ (7, -709.46467226...)
+ >>> railfence_break(railfence_encipher(sanitise( \
+ "It is a truth universally acknowledged, that a single man in \
+ possession of a good fortune, must be in want of a wife. However \
+ little known the feelings or views of such a man may be on his \
+ first entering a neighbourhood, this truth is so well fixed in \
+ the minds of the surrounding families, that he is considered the \
+ rightful property of some one or other of their daughters."), \
+ 7), \
+ fitness=Ptrigrams) # doctest: +ELLIPSIS
+ (7, -997.0129085...)
+ """
+ def worker(message, height, fitness):
+ plaintext = railfence_decipher(message, height)
+ fit = fitness(plaintext)
+ return height, fit
+
+ sanitised_message = sanitise(message)
+ results = starmap(worker, [(sanitised_message, i, fitness)
+ for i in range(2, max_key_length+1)])
+ return max(results, key=lambda k: k[1])</code></pre>
+</details>
+</dd>
+<dt id="szyfrow.railfence.railfence_decipher"><code class="name flex">
+<span>def <span class="ident">railfence_decipher</span></span>(<span>message, height, fillvalue='')</span>
+</code></dt>
+<dd>
+<div class="desc"><p>Railfence decipher.
+Works by reconstructing the grid used to generate the ciphertext, then
+unfolding the sections so the text can be concatenated together.</p>
+<p>Example: given the ciphertext 'hhieterelorfnsled' and a height of 4, first
+work out that the second row has a character missing, find the rows of the
+grid, then split the section into its two columns.</p>
+<p>'hhieterelorfnsled' is split into
+h h i
+etere
+lorfns
+l e d
+(spaces added for clarity), which is stored in 'rows'. This is then split
+into 'down_rows' and 'up_rows':</p>
+<p>down_rows:
+hhi
+eee
+lrn
+led</p>
+<p>up_rows:
+tr
+ofs</p>
+<p>These are then zipped together (after the up_rows are reversed) to recover
+the plaintext.</p>
+<p>Most of the procedure is about finding the correct lengths for each row then
+splitting the ciphertext into those rows.</p>
+<pre><code class="language-python-repl">>>> railfence_decipher('hlohraateerishsslnpeefetotsigaleccpeselteevsmhatetiiaogicotxfretnrifneihr!', 2).strip('!')
+'hellothereavastmeheartiesthisisalongpieceoftextfortestingrailfenceciphers'
+>>> railfence_decipher('horaersslpeeosglcpselteevsmhatetiiaogicotxfretnrifneihr!!lhateihsnefttiaece!', 3).strip('!')
+'hellothereavastmeheartiesthisisalongpieceoftextfortestingrailfenceciphers'
+>>> railfence_decipher('hresleogcseeemhetaocofrnrner!!lhateihsnefttiaece!!ltvsatiigitxetifih!!oarspeslp!', 5).strip('!')
+'hellothereavastmeheartiesthisisalongpieceoftextfortestingrailfenceciphers'
+>>> railfence_decipher('hepisehagitnr!!lernesge!!lmtocerh!!otiletap!!tseaorii!!hassfolc!!evtitffe!!rahsetec!!eixn!', 10).strip('!')
+'hellothereavastmeheartiesthisisalongpieceoftextfortestingrailfenceciphers'
+>>> railfence_decipher('horaersslpeeosglcpselteevsmhatetiiaogicotxfretnrifneihrlhateihsnefttiaece', 3)
+'hellothereavastmeheartiesthisisalongpieceoftextfortestingrailfenceciphers'
+>>> railfence_decipher('hresleogcseeemhetaocofrnrnerlhateihsnefttiaeceltvsatiigitxetifihoarspeslp', 5)
+'hellothereavastmeheartiesthisisalongpieceoftextfortestingrailfenceciphers'
+>>> railfence_decipher('haspolsevsetgifrifrlatihnettaeelemtiocxernhorersleesgcptehaiaottneihesfic', 7)
+'hellothereavastmeheartiesthisisalongpieceoftextfortestingrailfenceciphers'
+</code></pre></div>
+<details class="source">
+<summary>
+<span>Expand source code</span>
+</summary>
+<pre><code class="python">def railfence_decipher(message, height, fillvalue=''):
+ """Railfence decipher.
+ Works by reconstructing the grid used to generate the ciphertext, then
+ unfolding the sections so the text can be concatenated together.
+
+ Example: given the ciphertext 'hhieterelorfnsled' and a height of 4, first
+ work out that the second row has a character missing, find the rows of the
+ grid, then split the section into its two columns.
+
+ 'hhieterelorfnsled' is split into
+ h h i
+ etere
+ lorfns
+ l e d
+ (spaces added for clarity), which is stored in 'rows'. This is then split
+ into 'down_rows' and 'up_rows':
+
+ down_rows:
+ hhi
+ eee
+ lrn
+ led
+
+ up_rows:
+ tr
+ ofs
+
+ These are then zipped together (after the up_rows are reversed) to recover
+ the plaintext.
+
+ Most of the procedure is about finding the correct lengths for each row then
+ splitting the ciphertext into those rows.
+
+ >>> railfence_decipher('hlohraateerishsslnpeefetotsigaleccpeselteevsmhatetiiaogicotxfretnrifneihr!', 2).strip('!')
+ 'hellothereavastmeheartiesthisisalongpieceoftextfortestingrailfenceciphers'
+ >>> railfence_decipher('horaersslpeeosglcpselteevsmhatetiiaogicotxfretnrifneihr!!lhateihsnefttiaece!', 3).strip('!')
+ 'hellothereavastmeheartiesthisisalongpieceoftextfortestingrailfenceciphers'
+ >>> railfence_decipher('hresleogcseeemhetaocofrnrner!!lhateihsnefttiaece!!ltvsatiigitxetifih!!oarspeslp!', 5).strip('!')
+ 'hellothereavastmeheartiesthisisalongpieceoftextfortestingrailfenceciphers'
+ >>> railfence_decipher('hepisehagitnr!!lernesge!!lmtocerh!!otiletap!!tseaorii!!hassfolc!!evtitffe!!rahsetec!!eixn!', 10).strip('!')
+ 'hellothereavastmeheartiesthisisalongpieceoftextfortestingrailfenceciphers'
+ >>> railfence_decipher('horaersslpeeosglcpselteevsmhatetiiaogicotxfretnrifneihrlhateihsnefttiaece', 3)
+ 'hellothereavastmeheartiesthisisalongpieceoftextfortestingrailfenceciphers'
+ >>> railfence_decipher('hresleogcseeemhetaocofrnrnerlhateihsnefttiaeceltvsatiigitxetifihoarspeslp', 5)
+ 'hellothereavastmeheartiesthisisalongpieceoftextfortestingrailfenceciphers'
+ >>> railfence_decipher('haspolsevsetgifrifrlatihnettaeelemtiocxernhorersleesgcptehaiaottneihesfic', 7)
+ 'hellothereavastmeheartiesthisisalongpieceoftextfortestingrailfenceciphers'
+ """
+ # find the number and size of the sections, including how many characters
+ # are missing for a full grid
+ n_sections = math.ceil(len(message) / ((height - 1) * 2))
+ padding_to_add = n_sections * (height - 1) * 2 - len(message)
+ # row_lengths are for the both up rows and down rows
+ row_lengths = [n_sections] * (height - 1) * 2
+ for i in range((height - 1) * 2 - 1, (height - 1) * 2 - (padding_to_add + 1), -1):
+ row_lengths[i] -= 1
+ # folded_rows are the combined row lengths in the middle of the railfence
+ folded_row_lengths = [row_lengths[0]]
+ for i in range(1, height-1):
+ folded_row_lengths += [row_lengths[i] + row_lengths[-i]]
+ folded_row_lengths += [row_lengths[height - 1]]
+ # find the rows that form the railfence grid
+ rows = []
+ row_start = 0
+ for i in folded_row_lengths:
+ rows += [message[row_start:row_start + i]]
+ row_start += i
+ # split the rows into the 'down_rows' (those that form the first column of
+ # a section) and the 'up_rows' (those that ofrm the second column of a
+ # section).
+ down_rows = [rows[0]]
+ up_rows = []
+ for i in range(1, height-1):
+ down_rows += [cat([c for n, c in enumerate(rows[i]) if n % 2 == 0])]
+ up_rows += [cat([c for n, c in enumerate(rows[i]) if n % 2 == 1])]
+ down_rows += [rows[-1]]
+ up_rows.reverse()
+ return cat(c for r in zip_longest(*(down_rows + up_rows), fillvalue='') for c in r)</code></pre>
+</details>
+</dd>
+<dt id="szyfrow.railfence.railfence_encipher"><code class="name flex">
+<span>def <span class="ident">railfence_encipher</span></span>(<span>message, height, fillvalue='')</span>
+</code></dt>
+<dd>
+<div class="desc"><p>Railfence cipher.
+Works by splitting the text into sections, then reading across them to
+generate the rows in the cipher. The rows are then combined to form the
+ciphertext.</p>
+<p>Example: the plaintext "hellotherefriends", with a height of four, written
+out in the railfence as
+h h i
+etere*
+lorfns
+l e d
+(with the * showing the one character to finish the last section).
+Each 'section' is two columns, but unfolded. In the example, the first
+section is 'hellot'.</p>
+<pre><code class="language-python-repl">>>> railfence_encipher('hellothereavastmeheartiesthisisalongpieceoftextfortestingrailfenceciphers', 2, fillvalue='!')
+'hlohraateerishsslnpeefetotsigaleccpeselteevsmhatetiiaogicotxfretnrifneihr!'
+>>> railfence_encipher('hellothereavastmeheartiesthisisalongpieceoftextfortestingrailfenceciphers', 3, fillvalue='!')
+'horaersslpeeosglcpselteevsmhatetiiaogicotxfretnrifneihr!!lhateihsnefttiaece!'
+>>> railfence_encipher('hellothereavastmeheartiesthisisalongpieceoftextfortestingrailfenceciphers', 5, fillvalue='!')
+'hresleogcseeemhetaocofrnrner!!lhateihsnefttiaece!!ltvsatiigitxetifih!!oarspeslp!'
+>>> railfence_encipher('hellothereavastmeheartiesthisisalongpieceoftextfortestingrailfenceciphers', 10, fillvalue='!')
+'hepisehagitnr!!lernesge!!lmtocerh!!otiletap!!tseaorii!!hassfolc!!evtitffe!!rahsetec!!eixn!'
+>>> railfence_encipher('hellothereavastmeheartiesthisisalongpieceoftextfortestingrailfenceciphers', 3)
+'horaersslpeeosglcpselteevsmhatetiiaogicotxfretnrifneihrlhateihsnefttiaece'
+>>> railfence_encipher('hellothereavastmeheartiesthisisalongpieceoftextfortestingrailfenceciphers', 5)
+'hresleogcseeemhetaocofrnrnerlhateihsnefttiaeceltvsatiigitxetifihoarspeslp'
+>>> railfence_encipher('hellothereavastmeheartiesthisisalongpieceoftextfortestingrailfenceciphers', 7)
+'haspolsevsetgifrifrlatihnettaeelemtiocxernhorersleesgcptehaiaottneihesfic'
+</code></pre></div>
+<details class="source">
+<summary>
+<span>Expand source code</span>
+</summary>
+<pre><code class="python">def railfence_encipher(message, height, fillvalue=''):
+ """Railfence cipher.
+ Works by splitting the text into sections, then reading across them to
+ generate the rows in the cipher. The rows are then combined to form the
+ ciphertext.
+
+ Example: the plaintext "hellotherefriends", with a height of four, written
+ out in the railfence as
+ h h i
+ etere*
+ lorfns
+ l e d
+ (with the * showing the one character to finish the last section).
+ Each 'section' is two columns, but unfolded. In the example, the first
+ section is 'hellot'.
+
+ >>> railfence_encipher('hellothereavastmeheartiesthisisalongpieceoftextfortestingrailfenceciphers', 2, fillvalue='!')
+ 'hlohraateerishsslnpeefetotsigaleccpeselteevsmhatetiiaogicotxfretnrifneihr!'
+ >>> railfence_encipher('hellothereavastmeheartiesthisisalongpieceoftextfortestingrailfenceciphers', 3, fillvalue='!')
+ 'horaersslpeeosglcpselteevsmhatetiiaogicotxfretnrifneihr!!lhateihsnefttiaece!'
+ >>> railfence_encipher('hellothereavastmeheartiesthisisalongpieceoftextfortestingrailfenceciphers', 5, fillvalue='!')
+ 'hresleogcseeemhetaocofrnrner!!lhateihsnefttiaece!!ltvsatiigitxetifih!!oarspeslp!'
+ >>> railfence_encipher('hellothereavastmeheartiesthisisalongpieceoftextfortestingrailfenceciphers', 10, fillvalue='!')
+ 'hepisehagitnr!!lernesge!!lmtocerh!!otiletap!!tseaorii!!hassfolc!!evtitffe!!rahsetec!!eixn!'
+ >>> railfence_encipher('hellothereavastmeheartiesthisisalongpieceoftextfortestingrailfenceciphers', 3)
+ 'horaersslpeeosglcpselteevsmhatetiiaogicotxfretnrifneihrlhateihsnefttiaece'
+ >>> railfence_encipher('hellothereavastmeheartiesthisisalongpieceoftextfortestingrailfenceciphers', 5)
+ 'hresleogcseeemhetaocofrnrnerlhateihsnefttiaeceltvsatiigitxetifihoarspeslp'
+ >>> railfence_encipher('hellothereavastmeheartiesthisisalongpieceoftextfortestingrailfenceciphers', 7)
+ 'haspolsevsetgifrifrlatihnettaeelemtiocxernhorersleesgcptehaiaottneihesfic'
+ """
+ sections = chunks(message, (height - 1) * 2, fillvalue=fillvalue)
+ n_sections = len(sections)
+ # Add the top row
+ rows = [cat([s[0] for s in sections])]
+ # process the middle rows of the grid
+ for r in range(1, height-1):
+ rows += [cat([s[r:r+1] + s[height*2-r-2:height*2-r-1] for s in sections])]
+ # process the bottom row
+ rows += [cat([s[height - 1:height] for s in sections])]
+ # rows += [wcat([s[height - 1] for s in sections])]
+ return cat(rows)</code></pre>
+</details>
+</dd>
+<dt id="szyfrow.railfence.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="two-column">
+<li><code><a title="szyfrow.railfence.cat" href="#szyfrow.railfence.cat">cat</a></code></li>
+<li><code><a title="szyfrow.railfence.lcat" href="#szyfrow.railfence.lcat">lcat</a></code></li>
+<li><code><a title="szyfrow.railfence.railfence_break" href="#szyfrow.railfence.railfence_break">railfence_break</a></code></li>
+<li><code><a title="szyfrow.railfence.railfence_decipher" href="#szyfrow.railfence.railfence_decipher">railfence_decipher</a></code></li>
+<li><code><a title="szyfrow.railfence.railfence_encipher" href="#szyfrow.railfence.railfence_encipher">railfence_encipher</a></code></li>
+<li><code><a title="szyfrow.railfence.wcat" href="#szyfrow.railfence.wcat">wcat</a></code></li>
+</ul>
+</li>
+</ul>
+</nav>
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+<script defer src="https://cdnjs.cloudflare.com/ajax/libs/highlight.js/10.1.1/highlight.min.js" integrity="sha256-Uv3H6lx7dJmRfRvH8TH6kJD1TSK1aFcwgx+mdg3epi8=" crossorigin></script>
+<script>window.addEventListener('DOMContentLoaded', () => hljs.initHighlighting())</script>
+</head>
+<body>
+<main>
+<article id="content">
+<header>
+<h1 class="title">Module <code>szyfrow.support</code></h1>
+</header>
+<section id="section-intro">
+<p>Support utilities for ciphers. </p>
+<p>Language models are for understanding what English looks like, for help with
+cipher breaking.</p>
+<p>Text prettify is various procedures for pretty-printing text, such as
+segmenting text into words.</p>
+<p>Utilities are general utility functions.</p>
+<details class="source">
+<summary>
+<span>Expand source code</span>
+</summary>
+<pre><code class="python">"""Support utilities for ciphers.
+
+Language models are for understanding what English looks like, for help with
+cipher breaking.
+
+Text prettify is various procedures for pretty-printing text, such as
+segmenting text into words.
+
+Utilities are general utility functions.
+"""</code></pre>
+</details>
+</section>
+<section>
+<h2 class="section-title" id="header-submodules">Sub-modules</h2>
+<dl>
+<dt><code class="name"><a title="szyfrow.support.language_models" href="language_models.html">szyfrow.support.language_models</a></code></dt>
+<dd>
+<div class="desc"><p>Descriptive models of a natural language (in this case, English) …</p></div>
+</dd>
+<dt><code class="name"><a title="szyfrow.support.norms" href="norms.html">szyfrow.support.norms</a></code></dt>
+<dd>
+<div class="desc"><p>Various norms, for calcuating the distances between two frequency
+profiles.</p></div>
+</dd>
+<dt><code class="name"><a title="szyfrow.support.segment" href="segment.html">szyfrow.support.segment</a></code></dt>
+<dd>
+<div class="desc"><p>Setments a string of characters into words, following a language model …</p></div>
+</dd>
+<dt><code class="name"><a title="szyfrow.support.text_prettify" href="text_prettify.html">szyfrow.support.text_prettify</a></code></dt>
+<dd>
+<div class="desc"><p>Various functions for prettifying text, useful when cipher routines generate
+strings of letters without spaces.</p></div>
+</dd>
+<dt><code class="name"><a title="szyfrow.support.utilities" href="utilities.html">szyfrow.support.utilities</a></code></dt>
+<dd>
+<div class="desc"><p>A mish-mash of utility functions</p></div>
+</dd>
+</dl>
+</section>
+<section>
+</section>
+<section>
+</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-submodules">Sub-modules</a></h3>
+<ul>
+<li><code><a title="szyfrow.support.language_models" href="language_models.html">szyfrow.support.language_models</a></code></li>
+<li><code><a title="szyfrow.support.norms" href="norms.html">szyfrow.support.norms</a></code></li>
+<li><code><a title="szyfrow.support.segment" href="segment.html">szyfrow.support.segment</a></code></li>
+<li><code><a title="szyfrow.support.text_prettify" href="text_prettify.html">szyfrow.support.text_prettify</a></code></li>
+<li><code><a title="szyfrow.support.utilities" href="utilities.html">szyfrow.support.utilities</a></code></li>
+</ul>
+</li>
+</ul>
+</nav>
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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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+<meta name="description" content="Descriptive models of a natural language (in this case, English) …" />
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+<style media="screen and (min-width: 700px)">@media screen and (min-width:700px){#sidebar{width:30%;height:100vh;overflow:auto;position:sticky;top:0}#content{width:70%;max-width:100ch;padding:3em 4em;border-left:1px solid #ddd}pre code{font-size:1em}.item .name{font-size:1em}main{display:flex;flex-direction:row-reverse;justify-content:flex-end}.toc ul ul,#index ul{padding-left:1.5em}.toc > ul > li{margin-top:.5em}}</style>
+<style media="print">@media print{#sidebar h1{page-break-before:always}.source{display:none}}@media print{*{background:transparent !important;color:#000 !important;box-shadow:none !important;text-shadow:none !important}a[href]:after{content:" (" attr(href) ")";font-size:90%}a[href][title]:after{content:none}abbr[title]:after{content:" (" attr(title) ")"}.ir a:after,a[href^="javascript:"]:after,a[href^="#"]:after{content:""}pre,blockquote{border:1px solid #999;page-break-inside:avoid}thead{display:table-header-group}tr,img{page-break-inside:avoid}img{max-width:100% !important}@page{margin:0.5cm}p,h2,h3{orphans:3;widows:3}h1,h2,h3,h4,h5,h6{page-break-after:avoid}}</style>
+<script defer src="https://cdnjs.cloudflare.com/ajax/libs/highlight.js/10.1.1/highlight.min.js" integrity="sha256-Uv3H6lx7dJmRfRvH8TH6kJD1TSK1aFcwgx+mdg3epi8=" crossorigin></script>
+<script>window.addEventListener('DOMContentLoaded', () => hljs.initHighlighting())</script>
+</head>
+<body>
+<main>
+<article id="content">
+<header>
+<h1 class="title">Module <code>szyfrow.support.language_models</code></h1>
+</header>
+<section id="section-intro">
+<p>Descriptive models of a natural language (in this case, English).</p>
+<p>The functions <code><a title="szyfrow.support.language_models.Pwords" href="#szyfrow.support.language_models.Pwords">Pwords()</a></code>, <code><a title="szyfrow.support.language_models.Pletters" href="#szyfrow.support.language_models.Pletters">Pletters()</a></code>, <code><a title="szyfrow.support.language_models.Pbigrams" href="#szyfrow.support.language_models.Pbigrams">Pbigrams()</a></code>, and <code><a title="szyfrow.support.language_models.Ptrigrams" href="#szyfrow.support.language_models.Ptrigrams">Ptrigrams()</a></code> return the
+log probability of a section of text.</p>
+<p>If you want to use a different language, replace the data files in
+<a href="../language_model_files/index.html"><code>szyfrow/language_model_files</code></a>.</p>
+<ul>
+<li><code>count_1l.txt</code>: counts of single letters</li>
+<li><code>count_2l.txt</code>: counts of pairs letters, bigrams</li>
+<li><code>count_3l.txt</code>: counts of triples of letters, triagrams</li>
+<li><code>words.txt</code>: a dictionary of words, used for keyword-based cipher breaking.
+These words should only contain characters cointained in
+<code>string.ascii_letters</code>.</li>
+</ul>
+<details class="source">
+<summary>
+<span>Expand source code</span>
+</summary>
+<pre><code class="python">"""Descriptive models of a natural language (in this case, English).
+
+The functions `Pwords`, `Pletters`, `Pbigrams`, and `Ptrigrams` return the
+log probability of a section of text.
+
+If you want to use a different language, replace the data files in
+[`szyfrow/language_model_files`](../language_model_files/index.html).
+
+* `count_1l.txt`: counts of single letters
+* `count_2l.txt`: counts of pairs letters, bigrams
+* `count_3l.txt`: counts of triples of letters, triagrams
+* `words.txt`: a dictionary of words, used for keyword-based cipher breaking.
+ These words should only contain characters cointained in
+ `string.ascii_letters`.
+
+"""
+
+import string
+import random
+import collections
+import itertools
+from math import log10
+import os
+import importlib.resources as pkg_resources
+
+import szyfrow.support.norms
+from szyfrow.support.utilities import sanitise, deduplicate
+from szyfrow import language_model_files
+
+
+def datafile(name, sep='\t'):
+ """Read key,value pairs from file.
+ """
+ with pkg_resources.open_text(language_model_files, name) as f:
+ # with open(p name), 'r') as f:
+ for line in f:
+ splits = line.split(sep)
+ yield [splits[0], int(splits[1])]
+
+english_counts = collections.Counter(dict(datafile('count_1l.txt')))
+"""Counts of single letters in English."""
+normalised_english_counts = szyfrow.support.norms.normalise(english_counts)
+"""Normalised counts of single letters in English (the sum of all counts
+adds to 1)."""
+
+english_bigram_counts = collections.Counter(dict(datafile('count_2l.txt')))
+"""Counts of letter bigrams in English."""
+normalised_english_bigram_counts = szyfrow.support.norms.normalise(english_bigram_counts)
+"""Normalised counts of letter bigrams in English (the sum of all counts
+adds to 1)."""
+
+english_trigram_counts = collections.Counter(dict(datafile('count_3l.txt')))
+"""Counts of letter trigrams in English."""
+normalised_english_trigram_counts = szyfrow.support.norms.normalise(english_trigram_counts)
+"""Normalised counts of letter trigrams in English (the sum of all counts
+adds to 1)."""
+
+keywords = []
+"""A sample list of keywords, to act as a dictionary for
+dictionary-based cipher breaking attempts."""
+with pkg_resources.open_text(language_model_files, 'words.txt') as f:
+ keywords = [line.rstrip() for line in f]
+
+
+def transpositions_of(keyword):
+ """Finds the transpostions given by a keyword. For instance, the keyword
+ 'clever' rearranges to 'celrv', so the first column (0) stays first, the
+ second column (1) moves to third, the third column (2) moves to second,
+ and so on.
+
+ If passed a tuple, assume it's already a transposition and just return it.
+
+ >>> transpositions_of('clever')
+ (0, 2, 1, 4, 3)
+ >>> transpositions_of('fred')
+ (3, 2, 0, 1)
+ >>> transpositions_of((3, 2, 0, 1))
+ (3, 2, 0, 1)
+ """
+ if isinstance(keyword, tuple):
+ return keyword
+ else:
+ key = deduplicate(keyword)
+ transpositions = tuple(key.index(l) for l in sorted(key))
+ return transpositions
+
+transpositions = collections.defaultdict(list)
+"""A sample dict of transpositions, to act as a dictionary for
+dictionary-based cipher breaking attempts. Each key is a transposition,
+each value is a list of words that give that transposition."""
+for word in keywords:
+ transpositions[transpositions_of(word)] += [word]
+
+
+def weighted_choice(d):
+ """Generate random item from a dictionary of item counts
+ """
+ delems, dweights = list(zip(*d.items()))
+ return random.choices(delems, dweights)[0]
+ # target = random.uniform(0, sum(d.values()))
+ # cuml = 0.0
+ # for (l, p) in d.items():
+ # cuml += p
+ # if cuml > target:
+ # return l
+ # return None
+
+def random_english_letter():
+ """Generate a random letter based on English letter counts
+ """
+ return weighted_choice(normalised_english_counts)
+
+
+def ngrams(text, n):
+ """Returns all n-grams of a text
+
+ >>> ngrams(sanitise('the quick brown fox'), 2) # doctest: +NORMALIZE_WHITESPACE
+ ['th', 'he', 'eq', 'qu', 'ui', 'ic', 'ck', 'kb', 'br', 'ro', 'ow', 'wn',
+ 'nf', 'fo', 'ox']
+ >>> ngrams(sanitise('the quick brown fox'), 4) # doctest: +NORMALIZE_WHITESPACE
+ ['theq', 'hequ', 'equi', 'quic', 'uick', 'ickb', 'ckbr', 'kbro', 'brow',
+ 'rown', 'ownf', 'wnfo', 'nfox']
+ """
+ return [text[i:i+n] for i in range(len(text)-n+1)]
+
+
+class Pdist(dict):
+ """A probability distribution estimated from counts in datafile.
+ Values are stored and returned as log probabilities.
+ """
+ def __init__(self, data=[], estimate_of_missing=None):
+ data1, data2 = itertools.tee(data)
+ self.total = sum([d[1] for d in data1])
+ for key, count in data2:
+ self[key] = log10(count / self.total)
+ self.estimate_of_missing = estimate_of_missing or (lambda k, N: 1./N)
+ def __missing__(self, key):
+ return self.estimate_of_missing(key, self.total)
+
+def log_probability_of_unknown_word(key, N):
+ """Estimate the probability of an unknown word.
+ """
+ return -log10(N * 10**((len(key) - 2) * 1.4))
+
+Pw = Pdist(datafile('count_1w.txt'), log_probability_of_unknown_word)
+"""A [Pdist](#szyfrow.support.language_models.Pdist) holding log probabilities
+of words. Unknown words have their probability estimated by
+[log_probability_of_unknown_word](#szyfrow.support.language_models.log_probability_of_unknown_word)"""
+Pl = Pdist(datafile('count_1l.txt'), lambda _k, _N: 0)
+"""A [Pdist](#szyfrow.support.language_models.Pdist) holding log probabilities
+of single letters. Unknown words have their probability estimated as zero."""
+P2l = Pdist(datafile('count_2l.txt'), lambda _k, _N: 0)
+"""A [Pdist](#szyfrow.support.language_models.Pdist) holding log probabilities
+of letter bigrams. Unknown words have their probability estimated as zero."""
+P3l = Pdist(datafile('count_3l.txt'), lambda _k, _N: 0)
+"""A [Pdist](#szyfrow.support.language_models.Pdist) holding log probabilities
+of letter trigrams. Unknown words have their probability estimated as zero."""
+
+def Pwords(words):
+ """The Naive Bayes log probability of a sequence of words.
+ """
+ return sum(Pw[w.lower()] for w in words)
+
+def Pletters(letters):
+ """The Naive Bayes log probability of a sequence of letters.
+ """
+ return sum(Pl[l.lower()] for l in letters)
+
+def Pbigrams(letters):
+ """The Naive Bayes log probability of the bigrams formed from a sequence
+ of letters.
+ """
+ return sum(P2l[p] for p in ngrams(letters, 2))
+
+def Ptrigrams(letters):
+ """The Naive Bayes log probability of the trigrams formed from a sequence
+ of letters.
+ """
+ return sum(P3l[p] for p in ngrams(letters, 3))
+
+
+def cosine_distance_score(text):
+ """Finds the dissimilarity of a text to English, using the cosine distance
+ of the frequency distribution.
+
+ >>> cosine_distance_score('abcabc') # doctest: +ELLIPSIS
+ 0.73771...
+ """
+ # return szyfrow.support.norms.cosine_distance(english_counts,
+ # collections.Counter(sanitise(text)))
+ return 1 - szyfrow.support.norms.cosine_similarity(english_counts,
+ collections.Counter(sanitise(text)))
+
+
+if __name__ == "__main__":
+ import doctest
+ doctest.testmod()</code></pre>
+</details>
+</section>
+<section>
+</section>
+<section>
+<h2 class="section-title" id="header-variables">Global variables</h2>
+<dl>
+<dt id="szyfrow.support.language_models.P2l"><code class="name">var <span class="ident">P2l</span></code></dt>
+<dd>
+<div class="desc"><p>A <a href="#szyfrow.support.language_models.Pdist">Pdist</a> holding log probabilities
+of letter bigrams. Unknown words have their probability estimated as zero.</p></div>
+</dd>
+<dt id="szyfrow.support.language_models.P3l"><code class="name">var <span class="ident">P3l</span></code></dt>
+<dd>
+<div class="desc"><p>A <a href="#szyfrow.support.language_models.Pdist">Pdist</a> holding log probabilities
+of letter trigrams. Unknown words have their probability estimated as zero.</p></div>
+</dd>
+<dt id="szyfrow.support.language_models.Pl"><code class="name">var <span class="ident">Pl</span></code></dt>
+<dd>
+<div class="desc"><p>A <a href="#szyfrow.support.language_models.Pdist">Pdist</a> holding log probabilities
+of single letters. Unknown words have their probability estimated as zero.</p></div>
+</dd>
+<dt id="szyfrow.support.language_models.Pw"><code class="name">var <span class="ident">Pw</span></code></dt>
+<dd>
+<div class="desc"><p>A <a href="#szyfrow.support.language_models.Pdist">Pdist</a> holding log probabilities
+of words. Unknown words have their probability estimated by
+<a href="#szyfrow.support.language_models.log_probability_of_unknown_word">log_probability_of_unknown_word</a></p></div>
+</dd>
+<dt id="szyfrow.support.language_models.english_bigram_counts"><code class="name">var <span class="ident">english_bigram_counts</span></code></dt>
+<dd>
+<div class="desc"><p>Counts of letter bigrams in English.</p></div>
+</dd>
+<dt id="szyfrow.support.language_models.english_counts"><code class="name">var <span class="ident">english_counts</span></code></dt>
+<dd>
+<div class="desc"><p>Counts of single letters in English.</p></div>
+</dd>
+<dt id="szyfrow.support.language_models.english_trigram_counts"><code class="name">var <span class="ident">english_trigram_counts</span></code></dt>
+<dd>
+<div class="desc"><p>Counts of letter trigrams in English.</p></div>
+</dd>
+<dt id="szyfrow.support.language_models.keywords"><code class="name">var <span class="ident">keywords</span></code></dt>
+<dd>
+<div class="desc"><p>A sample list of keywords, to act as a dictionary for
+dictionary-based cipher breaking attempts.</p></div>
+</dd>
+<dt id="szyfrow.support.language_models.normalised_english_bigram_counts"><code class="name">var <span class="ident">normalised_english_bigram_counts</span></code></dt>
+<dd>
+<div class="desc"><p>Normalised counts of letter bigrams in English (the sum of all counts
+adds to 1).</p></div>
+</dd>
+<dt id="szyfrow.support.language_models.normalised_english_counts"><code class="name">var <span class="ident">normalised_english_counts</span></code></dt>
+<dd>
+<div class="desc"><p>Normalised counts of single letters in English (the sum of all counts
+adds to 1).</p></div>
+</dd>
+<dt id="szyfrow.support.language_models.normalised_english_trigram_counts"><code class="name">var <span class="ident">normalised_english_trigram_counts</span></code></dt>
+<dd>
+<div class="desc"><p>Normalised counts of letter trigrams in English (the sum of all counts
+adds to 1).</p></div>
+</dd>
+<dt id="szyfrow.support.language_models.transpositions"><code class="name">var <span class="ident">transpositions</span></code></dt>
+<dd>
+<div class="desc"><p>A sample dict of transpositions, to act as a dictionary for
+dictionary-based cipher breaking attempts. Each key is a transposition,
+each value is a list of words that give that transposition.</p></div>
+</dd>
+</dl>
+</section>
+<section>
+<h2 class="section-title" id="header-functions">Functions</h2>
+<dl>
+<dt id="szyfrow.support.language_models.Pbigrams"><code class="name flex">
+<span>def <span class="ident">Pbigrams</span></span>(<span>letters)</span>
+</code></dt>
+<dd>
+<div class="desc"><p>The Naive Bayes log probability of the bigrams formed from a sequence
+of letters.</p></div>
+<details class="source">
+<summary>
+<span>Expand source code</span>
+</summary>
+<pre><code class="python">def Pbigrams(letters):
+ """The Naive Bayes log probability of the bigrams formed from a sequence
+ of letters.
+ """
+ return sum(P2l[p] for p in ngrams(letters, 2))</code></pre>
+</details>
+</dd>
+<dt id="szyfrow.support.language_models.Pletters"><code class="name flex">
+<span>def <span class="ident">Pletters</span></span>(<span>letters)</span>
+</code></dt>
+<dd>
+<div class="desc"><p>The Naive Bayes log probability of a sequence of letters.</p></div>
+<details class="source">
+<summary>
+<span>Expand source code</span>
+</summary>
+<pre><code class="python">def Pletters(letters):
+ """The Naive Bayes log probability of a sequence of letters.
+ """
+ return sum(Pl[l.lower()] for l in letters)</code></pre>
+</details>
+</dd>
+<dt id="szyfrow.support.language_models.Ptrigrams"><code class="name flex">
+<span>def <span class="ident">Ptrigrams</span></span>(<span>letters)</span>
+</code></dt>
+<dd>
+<div class="desc"><p>The Naive Bayes log probability of the trigrams formed from a sequence
+of letters.</p></div>
+<details class="source">
+<summary>
+<span>Expand source code</span>
+</summary>
+<pre><code class="python">def Ptrigrams(letters):
+ """The Naive Bayes log probability of the trigrams formed from a sequence
+ of letters.
+ """
+ return sum(P3l[p] for p in ngrams(letters, 3))</code></pre>
+</details>
+</dd>
+<dt id="szyfrow.support.language_models.Pwords"><code class="name flex">
+<span>def <span class="ident">Pwords</span></span>(<span>words)</span>
+</code></dt>
+<dd>
+<div class="desc"><p>The Naive Bayes log probability of a sequence of words.</p></div>
+<details class="source">
+<summary>
+<span>Expand source code</span>
+</summary>
+<pre><code class="python">def Pwords(words):
+ """The Naive Bayes log probability of a sequence of words.
+ """
+ return sum(Pw[w.lower()] for w in words)</code></pre>
+</details>
+</dd>
+<dt id="szyfrow.support.language_models.cosine_distance_score"><code class="name flex">
+<span>def <span class="ident">cosine_distance_score</span></span>(<span>text)</span>
+</code></dt>
+<dd>
+<div class="desc"><p>Finds the dissimilarity of a text to English, using the cosine distance
+of the frequency distribution.</p>
+<pre><code class="language-python-repl">>>> cosine_distance_score('abcabc') # doctest: +ELLIPSIS
+0.73771...
+</code></pre></div>
+<details class="source">
+<summary>
+<span>Expand source code</span>
+</summary>
+<pre><code class="python">def cosine_distance_score(text):
+ """Finds the dissimilarity of a text to English, using the cosine distance
+ of the frequency distribution.
+
+ >>> cosine_distance_score('abcabc') # doctest: +ELLIPSIS
+ 0.73771...
+ """
+ # return szyfrow.support.norms.cosine_distance(english_counts,
+ # collections.Counter(sanitise(text)))
+ return 1 - szyfrow.support.norms.cosine_similarity(english_counts,
+ collections.Counter(sanitise(text)))</code></pre>
+</details>
+</dd>
+<dt id="szyfrow.support.language_models.datafile"><code class="name flex">
+<span>def <span class="ident">datafile</span></span>(<span>name, sep='\t')</span>
+</code></dt>
+<dd>
+<div class="desc"><p>Read key,value pairs from file.</p></div>
+<details class="source">
+<summary>
+<span>Expand source code</span>
+</summary>
+<pre><code class="python">def datafile(name, sep='\t'):
+ """Read key,value pairs from file.
+ """
+ with pkg_resources.open_text(language_model_files, name) as f:
+ # with open(p name), 'r') as f:
+ for line in f:
+ splits = line.split(sep)
+ yield [splits[0], int(splits[1])]</code></pre>
+</details>
+</dd>
+<dt id="szyfrow.support.language_models.log_probability_of_unknown_word"><code class="name flex">
+<span>def <span class="ident">log_probability_of_unknown_word</span></span>(<span>key, N)</span>
+</code></dt>
+<dd>
+<div class="desc"><p>Estimate the probability of an unknown word.</p></div>
+<details class="source">
+<summary>
+<span>Expand source code</span>
+</summary>
+<pre><code class="python">def log_probability_of_unknown_word(key, N):
+ """Estimate the probability of an unknown word.
+ """
+ return -log10(N * 10**((len(key) - 2) * 1.4))</code></pre>
+</details>
+</dd>
+<dt id="szyfrow.support.language_models.ngrams"><code class="name flex">
+<span>def <span class="ident">ngrams</span></span>(<span>text, n)</span>
+</code></dt>
+<dd>
+<div class="desc"><p>Returns all n-grams of a text</p>
+<pre><code class="language-python-repl">>>> ngrams(sanitise('the quick brown fox'), 2) # doctest: +NORMALIZE_WHITESPACE
+['th', 'he', 'eq', 'qu', 'ui', 'ic', 'ck', 'kb', 'br', 'ro', 'ow', 'wn',
+ 'nf', 'fo', 'ox']
+>>> ngrams(sanitise('the quick brown fox'), 4) # doctest: +NORMALIZE_WHITESPACE
+['theq', 'hequ', 'equi', 'quic', 'uick', 'ickb', 'ckbr', 'kbro', 'brow',
+ 'rown', 'ownf', 'wnfo', 'nfox']
+</code></pre></div>
+<details class="source">
+<summary>
+<span>Expand source code</span>
+</summary>
+<pre><code class="python">def ngrams(text, n):
+ """Returns all n-grams of a text
+
+ >>> ngrams(sanitise('the quick brown fox'), 2) # doctest: +NORMALIZE_WHITESPACE
+ ['th', 'he', 'eq', 'qu', 'ui', 'ic', 'ck', 'kb', 'br', 'ro', 'ow', 'wn',
+ 'nf', 'fo', 'ox']
+ >>> ngrams(sanitise('the quick brown fox'), 4) # doctest: +NORMALIZE_WHITESPACE
+ ['theq', 'hequ', 'equi', 'quic', 'uick', 'ickb', 'ckbr', 'kbro', 'brow',
+ 'rown', 'ownf', 'wnfo', 'nfox']
+ """
+ return [text[i:i+n] for i in range(len(text)-n+1)]</code></pre>
+</details>
+</dd>
+<dt id="szyfrow.support.language_models.random_english_letter"><code class="name flex">
+<span>def <span class="ident">random_english_letter</span></span>(<span>)</span>
+</code></dt>
+<dd>
+<div class="desc"><p>Generate a random letter based on English letter counts</p></div>
+<details class="source">
+<summary>
+<span>Expand source code</span>
+</summary>
+<pre><code class="python">def random_english_letter():
+ """Generate a random letter based on English letter counts
+ """
+ return weighted_choice(normalised_english_counts)</code></pre>
+</details>
+</dd>
+<dt id="szyfrow.support.language_models.transpositions_of"><code class="name flex">
+<span>def <span class="ident">transpositions_of</span></span>(<span>keyword)</span>
+</code></dt>
+<dd>
+<div class="desc"><p>Finds the transpostions given by a keyword. For instance, the keyword
+'clever' rearranges to 'celrv', so the first column (0) stays first, the
+second column (1) moves to third, the third column (2) moves to second,
+and so on.</p>
+<p>If passed a tuple, assume it's already a transposition and just return it.</p>
+<pre><code class="language-python-repl">>>> transpositions_of('clever')
+(0, 2, 1, 4, 3)
+>>> transpositions_of('fred')
+(3, 2, 0, 1)
+>>> transpositions_of((3, 2, 0, 1))
+(3, 2, 0, 1)
+</code></pre></div>
+<details class="source">
+<summary>
+<span>Expand source code</span>
+</summary>
+<pre><code class="python">def transpositions_of(keyword):
+ """Finds the transpostions given by a keyword. For instance, the keyword
+ 'clever' rearranges to 'celrv', so the first column (0) stays first, the
+ second column (1) moves to third, the third column (2) moves to second,
+ and so on.
+
+ If passed a tuple, assume it's already a transposition and just return it.
+
+ >>> transpositions_of('clever')
+ (0, 2, 1, 4, 3)
+ >>> transpositions_of('fred')
+ (3, 2, 0, 1)
+ >>> transpositions_of((3, 2, 0, 1))
+ (3, 2, 0, 1)
+ """
+ if isinstance(keyword, tuple):
+ return keyword
+ else:
+ key = deduplicate(keyword)
+ transpositions = tuple(key.index(l) for l in sorted(key))
+ return transpositions</code></pre>
+</details>
+</dd>
+<dt id="szyfrow.support.language_models.weighted_choice"><code class="name flex">
+<span>def <span class="ident">weighted_choice</span></span>(<span>d)</span>
+</code></dt>
+<dd>
+<div class="desc"><p>Generate random item from a dictionary of item counts</p></div>
+<details class="source">
+<summary>
+<span>Expand source code</span>
+</summary>
+<pre><code class="python">def weighted_choice(d):
+ """Generate random item from a dictionary of item counts
+ """
+ delems, dweights = list(zip(*d.items()))
+ return random.choices(delems, dweights)[0]
+ # target = random.uniform(0, sum(d.values()))
+ # cuml = 0.0
+ # for (l, p) in d.items():
+ # cuml += p
+ # if cuml > target:
+ # return l
+ # return None</code></pre>
+</details>
+</dd>
+</dl>
+</section>
+<section>
+<h2 class="section-title" id="header-classes">Classes</h2>
+<dl>
+<dt id="szyfrow.support.language_models.Pdist"><code class="flex name class">
+<span>class <span class="ident">Pdist</span></span>
+<span>(</span><span>data=[], estimate_of_missing=None)</span>
+</code></dt>
+<dd>
+<div class="desc"><p>A probability distribution estimated from counts in datafile.
+Values are stored and returned as log probabilities.</p></div>
+<details class="source">
+<summary>
+<span>Expand source code</span>
+</summary>
+<pre><code class="python">class Pdist(dict):
+ """A probability distribution estimated from counts in datafile.
+ Values are stored and returned as log probabilities.
+ """
+ def __init__(self, data=[], estimate_of_missing=None):
+ data1, data2 = itertools.tee(data)
+ self.total = sum([d[1] for d in data1])
+ for key, count in data2:
+ self[key] = log10(count / self.total)
+ self.estimate_of_missing = estimate_of_missing or (lambda k, N: 1./N)
+ def __missing__(self, key):
+ return self.estimate_of_missing(key, self.total)</code></pre>
+</details>
+<h3>Ancestors</h3>
+<ul class="hlist">
+<li>builtins.dict</li>
+</ul>
+</dd>
+</dl>
+</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.support" href="index.html">szyfrow.support</a></code></li>
+</ul>
+</li>
+<li><h3><a href="#header-variables">Global variables</a></h3>
+<ul class="">
+<li><code><a title="szyfrow.support.language_models.P2l" href="#szyfrow.support.language_models.P2l">P2l</a></code></li>
+<li><code><a title="szyfrow.support.language_models.P3l" href="#szyfrow.support.language_models.P3l">P3l</a></code></li>
+<li><code><a title="szyfrow.support.language_models.Pl" href="#szyfrow.support.language_models.Pl">Pl</a></code></li>
+<li><code><a title="szyfrow.support.language_models.Pw" href="#szyfrow.support.language_models.Pw">Pw</a></code></li>
+<li><code><a title="szyfrow.support.language_models.english_bigram_counts" href="#szyfrow.support.language_models.english_bigram_counts">english_bigram_counts</a></code></li>
+<li><code><a title="szyfrow.support.language_models.english_counts" href="#szyfrow.support.language_models.english_counts">english_counts</a></code></li>
+<li><code><a title="szyfrow.support.language_models.english_trigram_counts" href="#szyfrow.support.language_models.english_trigram_counts">english_trigram_counts</a></code></li>
+<li><code><a title="szyfrow.support.language_models.keywords" href="#szyfrow.support.language_models.keywords">keywords</a></code></li>
+<li><code><a title="szyfrow.support.language_models.normalised_english_bigram_counts" href="#szyfrow.support.language_models.normalised_english_bigram_counts">normalised_english_bigram_counts</a></code></li>
+<li><code><a title="szyfrow.support.language_models.normalised_english_counts" href="#szyfrow.support.language_models.normalised_english_counts">normalised_english_counts</a></code></li>
+<li><code><a title="szyfrow.support.language_models.normalised_english_trigram_counts" href="#szyfrow.support.language_models.normalised_english_trigram_counts">normalised_english_trigram_counts</a></code></li>
+<li><code><a title="szyfrow.support.language_models.transpositions" href="#szyfrow.support.language_models.transpositions">transpositions</a></code></li>
+</ul>
+</li>
+<li><h3><a href="#header-functions">Functions</a></h3>
+<ul class="">
+<li><code><a title="szyfrow.support.language_models.Pbigrams" href="#szyfrow.support.language_models.Pbigrams">Pbigrams</a></code></li>
+<li><code><a title="szyfrow.support.language_models.Pletters" href="#szyfrow.support.language_models.Pletters">Pletters</a></code></li>
+<li><code><a title="szyfrow.support.language_models.Ptrigrams" href="#szyfrow.support.language_models.Ptrigrams">Ptrigrams</a></code></li>
+<li><code><a title="szyfrow.support.language_models.Pwords" href="#szyfrow.support.language_models.Pwords">Pwords</a></code></li>
+<li><code><a title="szyfrow.support.language_models.cosine_distance_score" href="#szyfrow.support.language_models.cosine_distance_score">cosine_distance_score</a></code></li>
+<li><code><a title="szyfrow.support.language_models.datafile" href="#szyfrow.support.language_models.datafile">datafile</a></code></li>
+<li><code><a title="szyfrow.support.language_models.log_probability_of_unknown_word" href="#szyfrow.support.language_models.log_probability_of_unknown_word">log_probability_of_unknown_word</a></code></li>
+<li><code><a title="szyfrow.support.language_models.ngrams" href="#szyfrow.support.language_models.ngrams">ngrams</a></code></li>
+<li><code><a title="szyfrow.support.language_models.random_english_letter" href="#szyfrow.support.language_models.random_english_letter">random_english_letter</a></code></li>
+<li><code><a title="szyfrow.support.language_models.transpositions_of" href="#szyfrow.support.language_models.transpositions_of">transpositions_of</a></code></li>
+<li><code><a title="szyfrow.support.language_models.weighted_choice" href="#szyfrow.support.language_models.weighted_choice">weighted_choice</a></code></li>
+</ul>
+</li>
+<li><h3><a href="#header-classes">Classes</a></h3>
+<ul>
+<li>
+<h4><code><a title="szyfrow.support.language_models.Pdist" href="#szyfrow.support.language_models.Pdist">Pdist</a></code></h4>
+</li>
+</ul>
+</li>
+</ul>
+</nav>
+</main>
+<footer id="footer">
+<p>Generated by <a href="https://pdoc3.github.io/pdoc"><cite>pdoc</cite> 0.9.2</a>.</p>
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+<article id="content">
+<header>
+<h1 class="title">Module <code>szyfrow.support.norms</code></h1>
+</header>
+<section id="section-intro">
+<p>Various norms, for calcuating the distances between two frequency
+profiles.</p>
+<details class="source">
+<summary>
+<span>Expand source code</span>
+</summary>
+<pre><code class="python">"""Various norms, for calcuating the distances between two frequency
+profiles.
+"""
+
+import collections
+from math import log10
+
+def lp(v1, v2=None, p=2):
+ """Find the L_p norm. If passed one vector, find the length of that vector.
+ If passed two vectors, find the length of the difference between them.
+ """
+ if v2:
+ vec = {k: abs(v1[k] - v2[k]) for k in (v1.keys() | v2.keys())}
+ else:
+ vec = v1
+ return sum(v ** p for v in vec.values()) ** (1.0 / p)
+
+def l1(v1, v2=None):
+ """Finds the distances between two frequency profiles, expressed as
+ dictionaries. Assumes every key in frequencies1 is also in frequencies2
+
+ >>> l1({'a':1, 'b':1, 'c':1}, {'a':1, 'b':1, 'c':1})
+ 0.0
+ >>> l1({'a':2, 'b':2, 'c':2}, {'a':1, 'b':1, 'c':1})
+ 3.0
+ >>> l1(normalise({'a':2, 'b':2, 'c':2}), normalise({'a':1, 'b':1, 'c':1}))
+ 0.0
+ >>> l1({'a':0, 'b':2, 'c':0}, {'a':1, 'b':1, 'c':1})
+ 3.0
+ >>> l1({'a':0, 'b':1}, {'a':1, 'b':1})
+ 1.0
+ """
+ return lp(v1, v2, 1)
+
+def l2(v1, v2=None):
+ """Finds the distances between two frequency profiles, expressed as dictionaries.
+ Assumes every key in frequencies1 is also in frequencies2
+
+ >>> l2({'a':1, 'b':1, 'c':1}, {'a':1, 'b':1, 'c':1})
+ 0.0
+ >>> l2({'a':2, 'b':2, 'c':2}, {'a':1, 'b':1, 'c':1}) # doctest: +ELLIPSIS
+ 1.73205080...
+ >>> l2(normalise({'a':2, 'b':2, 'c':2}), normalise({'a':1, 'b':1, 'c':1}))
+ 0.0
+ >>> l2({'a':0, 'b':2, 'c':0}, {'a':1, 'b':1, 'c':1}) # doctest: +ELLIPSIS
+ 1.732050807...
+ >>> l2(normalise({'a':0, 'b':2, 'c':0}), \
+ normalise({'a':1, 'b':1, 'c':1})) # doctest: +ELLIPSIS
+ 0.81649658...
+ >>> l2({'a':0, 'b':1}, {'a':1, 'b':1})
+ 1.0
+ """
+ return lp(v1, v2, 2)
+
+def l3(v1, v2=None):
+ """Finds the distances between two frequency profiles, expressed as
+ dictionaries. Assumes every key in frequencies1 is also in frequencies2
+
+ >>> l3({'a':1, 'b':1, 'c':1}, {'a':1, 'b':1, 'c':1})
+ 0.0
+ >>> l3({'a':2, 'b':2, 'c':2}, {'a':1, 'b':1, 'c':1}) # doctest: +ELLIPSIS
+ 1.44224957...
+ >>> l3({'a':0, 'b':2, 'c':0}, {'a':1, 'b':1, 'c':1}) # doctest: +ELLIPSIS
+ 1.4422495703...
+ >>> l3(normalise({'a':0, 'b':2, 'c':0}), \
+ normalise({'a':1, 'b':1, 'c':1})) # doctest: +ELLIPSIS
+ 0.718144896...
+ >>> l3({'a':0, 'b':1}, {'a':1, 'b':1})
+ 1.0
+ >>> l3(normalise({'a':0, 'b':1}), normalise({'a':1, 'b':1})) # doctest: +ELLIPSIS
+ 0.6299605249...
+ """
+ return lp(v1, v2, 3)
+
+def linf(v1, v2=None):
+ """Finds the distances between two frequency profiles, expressed as
+ dictionaries. Assumes every key in frequencies1 is also in frequencies2"""
+ if v2:
+ vec = {k: abs(v1[k] - v2[k]) for k in (v1.keys() | v2.keys())}
+ else:
+ vec = v1
+ return max(v for v in vec.values())
+
+
+def scale(frequencies, norm=l2):
+ length = norm(frequencies)
+ return collections.defaultdict(int,
+ {k: v / length for k, v in frequencies.items()})
+
+def l2_scale(f):
+ """Scale a set of frequencies so they have a unit euclidean length
+
+ >>> sorted(euclidean_scale({1: 1, 2: 0}).items())
+ [(1, 1.0), (2, 0.0)]
+ >>> sorted(euclidean_scale({1: 1, 2: 1}).items()) # doctest: +ELLIPSIS
+ [(1, 0.7071067...), (2, 0.7071067...)]
+ >>> sorted(euclidean_scale({1: 1, 2: 1, 3: 1}).items()) # doctest: +ELLIPSIS
+ [(1, 0.577350...), (2, 0.577350...), (3, 0.577350...)]
+ >>> sorted(euclidean_scale({1: 1, 2: 2, 3: 1}).items()) # doctest: +ELLIPSIS
+ [(1, 0.408248...), (2, 0.81649658...), (3, 0.408248...)]
+ """
+ return scale(f, l2)
+
+def l1_scale(f):
+ """Scale a set of frequencies so they sum to one
+
+ >>> sorted(normalise({1: 1, 2: 0}).items())
+ [(1, 1.0), (2, 0.0)]
+ >>> sorted(normalise({1: 1, 2: 1}).items())
+ [(1, 0.5), (2, 0.5)]
+ >>> sorted(normalise({1: 1, 2: 1, 3: 1}).items()) # doctest: +ELLIPSIS
+ [(1, 0.333...), (2, 0.333...), (3, 0.333...)]
+ >>> sorted(normalise({1: 1, 2: 2, 3: 1}).items())
+ [(1, 0.25), (2, 0.5), (3, 0.25)]
+ """
+ return scale(f, l1)
+
+normalise = l1_scale
+euclidean_distance = l2
+euclidean_scale = l2_scale
+
+
+def geometric_mean(frequencies1, frequencies2):
+ """Finds the geometric mean of the absolute differences between two frequency profiles,
+ expressed as dictionaries.
+ Assumes every key in frequencies1 is also in frequencies2
+
+ >>> geometric_mean({'a':2, 'b':2, 'c':2}, {'a':1, 'b':1, 'c':1})
+ 1.0
+ >>> geometric_mean({'a':2, 'b':2, 'c':2}, {'a':1, 'b':1, 'c':1})
+ 1.0
+ >>> geometric_mean({'a':2, 'b':2, 'c':2}, {'a':1, 'b':5, 'c':1})
+ 3.0
+ >>> geometric_mean(normalise({'a':2, 'b':2, 'c':2}), \
+ normalise({'a':1, 'b':5, 'c':1})) # doctest: +ELLIPSIS
+ 0.01382140...
+ >>> geometric_mean(normalise({'a':2, 'b':2, 'c':2}), \
+ normalise({'a':1, 'b':1, 'c':1})) # doctest: +ELLIPSIS
+ 0.0
+ >>> geometric_mean(normalise({'a':2, 'b':2, 'c':2}), \
+ normalise({'a':1, 'b':1, 'c':0})) # doctest: +ELLIPSIS
+ 0.009259259...
+ """
+ total = 1.0
+ for k in frequencies1:
+ total *= abs(frequencies1[k] - frequencies2[k])
+ return total
+
+def harmonic_mean(frequencies1, frequencies2):
+ """Finds the harmonic mean of the absolute differences between two frequency profiles,
+ expressed as dictionaries.
+ Assumes every key in frequencies1 is also in frequencies2
+
+ >>> harmonic_mean({'a':2, 'b':2, 'c':2}, {'a':1, 'b':1, 'c':1})
+ 1.0
+ >>> harmonic_mean({'a':2, 'b':2, 'c':2}, {'a':1, 'b':1, 'c':1})
+ 1.0
+ >>> harmonic_mean({'a':2, 'b':2, 'c':2}, {'a':1, 'b':5, 'c':1}) # doctest: +ELLIPSIS
+ 1.285714285...
+ >>> harmonic_mean(normalise({'a':2, 'b':2, 'c':2}), \
+ normalise({'a':1, 'b':5, 'c':1})) # doctest: +ELLIPSIS
+ 0.228571428571...
+ >>> harmonic_mean(normalise({'a':2, 'b':2, 'c':2}), \
+ normalise({'a':1, 'b':1, 'c':1})) # doctest: +ELLIPSIS
+ 0.0
+ >>> harmonic_mean(normalise({'a':2, 'b':2, 'c':2}), \
+ normalise({'a':1, 'b':1, 'c':0})) # doctest: +ELLIPSIS
+ 0.2
+ """
+ total = 0.0
+ for k in frequencies1:
+ if abs(frequencies1[k] - frequencies2[k]) == 0:
+ return 0.0
+ total += 1.0 / abs(frequencies1[k] - frequencies2[k])
+ return len(frequencies1) / total
+
+
+def cosine_similarity(frequencies1, frequencies2):
+ """Finds the distances between two frequency profiles, expressed as dictionaries.
+ Assumes every key in frequencies1 is also in frequencies2
+
+ >>> cosine_similarity({'a':1, 'b':1, 'c':1}, {'a':1, 'b':1, 'c':1}) # doctest: +ELLIPSIS
+ 1.0000000000...
+ >>> cosine_similarity({'a':2, 'b':2, 'c':2}, {'a':1, 'b':1, 'c':1}) # doctest: +ELLIPSIS
+ 1.0000000000...
+ >>> cosine_similarity({'a':0, 'b':2, 'c':0}, {'a':1, 'b':1, 'c':1}) # doctest: +ELLIPSIS
+ 0.5773502691...
+ >>> cosine_similarity({'a':0, 'b':1}, {'a':1, 'b':1}) # doctest: +ELLIPSIS
+ 0.7071067811...
+ """
+ numerator = 0
+ length1 = 0
+ length2 = 0
+ for k in frequencies1:
+ numerator += frequencies1[k] * frequencies2[k]
+ length1 += frequencies1[k]**2
+ for k in frequencies2:
+ length2 += frequencies2[k]**2
+ return numerator / (length1 ** 0.5 * length2 ** 0.5)
+
+
+
+if __name__ == "__main__":
+ import doctest
+ doctest.testmod()</code></pre>
+</details>
+</section>
+<section>
+</section>
+<section>
+</section>
+<section>
+<h2 class="section-title" id="header-functions">Functions</h2>
+<dl>
+<dt id="szyfrow.support.norms.cosine_similarity"><code class="name flex">
+<span>def <span class="ident">cosine_similarity</span></span>(<span>frequencies1, frequencies2)</span>
+</code></dt>
+<dd>
+<div class="desc"><p>Finds the distances between two frequency profiles, expressed as dictionaries.
+Assumes every key in frequencies1 is also in frequencies2</p>
+<pre><code class="language-python-repl">>>> cosine_similarity({'a':1, 'b':1, 'c':1}, {'a':1, 'b':1, 'c':1}) # doctest: +ELLIPSIS
+1.0000000000...
+>>> cosine_similarity({'a':2, 'b':2, 'c':2}, {'a':1, 'b':1, 'c':1}) # doctest: +ELLIPSIS
+1.0000000000...
+>>> cosine_similarity({'a':0, 'b':2, 'c':0}, {'a':1, 'b':1, 'c':1}) # doctest: +ELLIPSIS
+0.5773502691...
+>>> cosine_similarity({'a':0, 'b':1}, {'a':1, 'b':1}) # doctest: +ELLIPSIS
+0.7071067811...
+</code></pre></div>
+<details class="source">
+<summary>
+<span>Expand source code</span>
+</summary>
+<pre><code class="python">def cosine_similarity(frequencies1, frequencies2):
+ """Finds the distances between two frequency profiles, expressed as dictionaries.
+ Assumes every key in frequencies1 is also in frequencies2
+
+ >>> cosine_similarity({'a':1, 'b':1, 'c':1}, {'a':1, 'b':1, 'c':1}) # doctest: +ELLIPSIS
+ 1.0000000000...
+ >>> cosine_similarity({'a':2, 'b':2, 'c':2}, {'a':1, 'b':1, 'c':1}) # doctest: +ELLIPSIS
+ 1.0000000000...
+ >>> cosine_similarity({'a':0, 'b':2, 'c':0}, {'a':1, 'b':1, 'c':1}) # doctest: +ELLIPSIS
+ 0.5773502691...
+ >>> cosine_similarity({'a':0, 'b':1}, {'a':1, 'b':1}) # doctest: +ELLIPSIS
+ 0.7071067811...
+ """
+ numerator = 0
+ length1 = 0
+ length2 = 0
+ for k in frequencies1:
+ numerator += frequencies1[k] * frequencies2[k]
+ length1 += frequencies1[k]**2
+ for k in frequencies2:
+ length2 += frequencies2[k]**2
+ return numerator / (length1 ** 0.5 * length2 ** 0.5)</code></pre>
+</details>
+</dd>
+<dt id="szyfrow.support.norms.euclidean_distance"><code class="name flex">
+<span>def <span class="ident">euclidean_distance</span></span>(<span>v1, v2=None)</span>
+</code></dt>
+<dd>
+<div class="desc"><p>Finds the distances between two frequency profiles, expressed as dictionaries.
+Assumes every key in frequencies1 is also in frequencies2</p>
+<pre><code class="language-python-repl">>>> l2({'a':1, 'b':1, 'c':1}, {'a':1, 'b':1, 'c':1})
+0.0
+>>> l2({'a':2, 'b':2, 'c':2}, {'a':1, 'b':1, 'c':1}) # doctest: +ELLIPSIS
+1.73205080...
+>>> l2(normalise({'a':2, 'b':2, 'c':2}), normalise({'a':1, 'b':1, 'c':1}))
+0.0
+>>> l2({'a':0, 'b':2, 'c':0}, {'a':1, 'b':1, 'c':1}) # doctest: +ELLIPSIS
+1.732050807...
+>>> l2(normalise({'a':0, 'b':2, 'c':0}), normalise({'a':1, 'b':1, 'c':1})) # doctest: +ELLIPSIS
+0.81649658...
+>>> l2({'a':0, 'b':1}, {'a':1, 'b':1})
+1.0
+</code></pre></div>
+<details class="source">
+<summary>
+<span>Expand source code</span>
+</summary>
+<pre><code class="python">def l2(v1, v2=None):
+ """Finds the distances between two frequency profiles, expressed as dictionaries.
+ Assumes every key in frequencies1 is also in frequencies2
+
+ >>> l2({'a':1, 'b':1, 'c':1}, {'a':1, 'b':1, 'c':1})
+ 0.0
+ >>> l2({'a':2, 'b':2, 'c':2}, {'a':1, 'b':1, 'c':1}) # doctest: +ELLIPSIS
+ 1.73205080...
+ >>> l2(normalise({'a':2, 'b':2, 'c':2}), normalise({'a':1, 'b':1, 'c':1}))
+ 0.0
+ >>> l2({'a':0, 'b':2, 'c':0}, {'a':1, 'b':1, 'c':1}) # doctest: +ELLIPSIS
+ 1.732050807...
+ >>> l2(normalise({'a':0, 'b':2, 'c':0}), \
+ normalise({'a':1, 'b':1, 'c':1})) # doctest: +ELLIPSIS
+ 0.81649658...
+ >>> l2({'a':0, 'b':1}, {'a':1, 'b':1})
+ 1.0
+ """
+ return lp(v1, v2, 2)</code></pre>
+</details>
+</dd>
+<dt id="szyfrow.support.norms.euclidean_scale"><code class="name flex">
+<span>def <span class="ident">euclidean_scale</span></span>(<span>f)</span>
+</code></dt>
+<dd>
+<div class="desc"><p>Scale a set of frequencies so they have a unit euclidean length</p>
+<pre><code class="language-python-repl">>>> sorted(euclidean_scale({1: 1, 2: 0}).items())
+[(1, 1.0), (2, 0.0)]
+>>> sorted(euclidean_scale({1: 1, 2: 1}).items()) # doctest: +ELLIPSIS
+[(1, 0.7071067...), (2, 0.7071067...)]
+>>> sorted(euclidean_scale({1: 1, 2: 1, 3: 1}).items()) # doctest: +ELLIPSIS
+[(1, 0.577350...), (2, 0.577350...), (3, 0.577350...)]
+>>> sorted(euclidean_scale({1: 1, 2: 2, 3: 1}).items()) # doctest: +ELLIPSIS
+[(1, 0.408248...), (2, 0.81649658...), (3, 0.408248...)]
+</code></pre></div>
+<details class="source">
+<summary>
+<span>Expand source code</span>
+</summary>
+<pre><code class="python">def l2_scale(f):
+ """Scale a set of frequencies so they have a unit euclidean length
+
+ >>> sorted(euclidean_scale({1: 1, 2: 0}).items())
+ [(1, 1.0), (2, 0.0)]
+ >>> sorted(euclidean_scale({1: 1, 2: 1}).items()) # doctest: +ELLIPSIS
+ [(1, 0.7071067...), (2, 0.7071067...)]
+ >>> sorted(euclidean_scale({1: 1, 2: 1, 3: 1}).items()) # doctest: +ELLIPSIS
+ [(1, 0.577350...), (2, 0.577350...), (3, 0.577350...)]
+ >>> sorted(euclidean_scale({1: 1, 2: 2, 3: 1}).items()) # doctest: +ELLIPSIS
+ [(1, 0.408248...), (2, 0.81649658...), (3, 0.408248...)]
+ """
+ return scale(f, l2)</code></pre>
+</details>
+</dd>
+<dt id="szyfrow.support.norms.geometric_mean"><code class="name flex">
+<span>def <span class="ident">geometric_mean</span></span>(<span>frequencies1, frequencies2)</span>
+</code></dt>
+<dd>
+<div class="desc"><p>Finds the geometric mean of the absolute differences between two frequency profiles,
+expressed as dictionaries.
+Assumes every key in frequencies1 is also in frequencies2</p>
+<pre><code class="language-python-repl">>>> geometric_mean({'a':2, 'b':2, 'c':2}, {'a':1, 'b':1, 'c':1})
+1.0
+>>> geometric_mean({'a':2, 'b':2, 'c':2}, {'a':1, 'b':1, 'c':1})
+1.0
+>>> geometric_mean({'a':2, 'b':2, 'c':2}, {'a':1, 'b':5, 'c':1})
+3.0
+>>> geometric_mean(normalise({'a':2, 'b':2, 'c':2}), normalise({'a':1, 'b':5, 'c':1})) # doctest: +ELLIPSIS
+0.01382140...
+>>> geometric_mean(normalise({'a':2, 'b':2, 'c':2}), normalise({'a':1, 'b':1, 'c':1})) # doctest: +ELLIPSIS
+0.0
+>>> geometric_mean(normalise({'a':2, 'b':2, 'c':2}), normalise({'a':1, 'b':1, 'c':0})) # doctest: +ELLIPSIS
+0.009259259...
+</code></pre></div>
+<details class="source">
+<summary>
+<span>Expand source code</span>
+</summary>
+<pre><code class="python">def geometric_mean(frequencies1, frequencies2):
+ """Finds the geometric mean of the absolute differences between two frequency profiles,
+ expressed as dictionaries.
+ Assumes every key in frequencies1 is also in frequencies2
+
+ >>> geometric_mean({'a':2, 'b':2, 'c':2}, {'a':1, 'b':1, 'c':1})
+ 1.0
+ >>> geometric_mean({'a':2, 'b':2, 'c':2}, {'a':1, 'b':1, 'c':1})
+ 1.0
+ >>> geometric_mean({'a':2, 'b':2, 'c':2}, {'a':1, 'b':5, 'c':1})
+ 3.0
+ >>> geometric_mean(normalise({'a':2, 'b':2, 'c':2}), \
+ normalise({'a':1, 'b':5, 'c':1})) # doctest: +ELLIPSIS
+ 0.01382140...
+ >>> geometric_mean(normalise({'a':2, 'b':2, 'c':2}), \
+ normalise({'a':1, 'b':1, 'c':1})) # doctest: +ELLIPSIS
+ 0.0
+ >>> geometric_mean(normalise({'a':2, 'b':2, 'c':2}), \
+ normalise({'a':1, 'b':1, 'c':0})) # doctest: +ELLIPSIS
+ 0.009259259...
+ """
+ total = 1.0
+ for k in frequencies1:
+ total *= abs(frequencies1[k] - frequencies2[k])
+ return total</code></pre>
+</details>
+</dd>
+<dt id="szyfrow.support.norms.harmonic_mean"><code class="name flex">
+<span>def <span class="ident">harmonic_mean</span></span>(<span>frequencies1, frequencies2)</span>
+</code></dt>
+<dd>
+<div class="desc"><p>Finds the harmonic mean of the absolute differences between two frequency profiles,
+expressed as dictionaries.
+Assumes every key in frequencies1 is also in frequencies2</p>
+<pre><code class="language-python-repl">>>> harmonic_mean({'a':2, 'b':2, 'c':2}, {'a':1, 'b':1, 'c':1})
+1.0
+>>> harmonic_mean({'a':2, 'b':2, 'c':2}, {'a':1, 'b':1, 'c':1})
+1.0
+>>> harmonic_mean({'a':2, 'b':2, 'c':2}, {'a':1, 'b':5, 'c':1}) # doctest: +ELLIPSIS
+1.285714285...
+>>> harmonic_mean(normalise({'a':2, 'b':2, 'c':2}), normalise({'a':1, 'b':5, 'c':1})) # doctest: +ELLIPSIS
+0.228571428571...
+>>> harmonic_mean(normalise({'a':2, 'b':2, 'c':2}), normalise({'a':1, 'b':1, 'c':1})) # doctest: +ELLIPSIS
+0.0
+>>> harmonic_mean(normalise({'a':2, 'b':2, 'c':2}), normalise({'a':1, 'b':1, 'c':0})) # doctest: +ELLIPSIS
+0.2
+</code></pre></div>
+<details class="source">
+<summary>
+<span>Expand source code</span>
+</summary>
+<pre><code class="python">def harmonic_mean(frequencies1, frequencies2):
+ """Finds the harmonic mean of the absolute differences between two frequency profiles,
+ expressed as dictionaries.
+ Assumes every key in frequencies1 is also in frequencies2
+
+ >>> harmonic_mean({'a':2, 'b':2, 'c':2}, {'a':1, 'b':1, 'c':1})
+ 1.0
+ >>> harmonic_mean({'a':2, 'b':2, 'c':2}, {'a':1, 'b':1, 'c':1})
+ 1.0
+ >>> harmonic_mean({'a':2, 'b':2, 'c':2}, {'a':1, 'b':5, 'c':1}) # doctest: +ELLIPSIS
+ 1.285714285...
+ >>> harmonic_mean(normalise({'a':2, 'b':2, 'c':2}), \
+ normalise({'a':1, 'b':5, 'c':1})) # doctest: +ELLIPSIS
+ 0.228571428571...
+ >>> harmonic_mean(normalise({'a':2, 'b':2, 'c':2}), \
+ normalise({'a':1, 'b':1, 'c':1})) # doctest: +ELLIPSIS
+ 0.0
+ >>> harmonic_mean(normalise({'a':2, 'b':2, 'c':2}), \
+ normalise({'a':1, 'b':1, 'c':0})) # doctest: +ELLIPSIS
+ 0.2
+ """
+ total = 0.0
+ for k in frequencies1:
+ if abs(frequencies1[k] - frequencies2[k]) == 0:
+ return 0.0
+ total += 1.0 / abs(frequencies1[k] - frequencies2[k])
+ return len(frequencies1) / total</code></pre>
+</details>
+</dd>
+<dt id="szyfrow.support.norms.l1"><code class="name flex">
+<span>def <span class="ident">l1</span></span>(<span>v1, v2=None)</span>
+</code></dt>
+<dd>
+<div class="desc"><p>Finds the distances between two frequency profiles, expressed as
+dictionaries. Assumes every key in frequencies1 is also in frequencies2</p>
+<pre><code class="language-python-repl">>>> l1({'a':1, 'b':1, 'c':1}, {'a':1, 'b':1, 'c':1})
+0.0
+>>> l1({'a':2, 'b':2, 'c':2}, {'a':1, 'b':1, 'c':1})
+3.0
+>>> l1(normalise({'a':2, 'b':2, 'c':2}), normalise({'a':1, 'b':1, 'c':1}))
+0.0
+>>> l1({'a':0, 'b':2, 'c':0}, {'a':1, 'b':1, 'c':1})
+3.0
+>>> l1({'a':0, 'b':1}, {'a':1, 'b':1})
+1.0
+</code></pre></div>
+<details class="source">
+<summary>
+<span>Expand source code</span>
+</summary>
+<pre><code class="python">def l1(v1, v2=None):
+ """Finds the distances between two frequency profiles, expressed as
+ dictionaries. Assumes every key in frequencies1 is also in frequencies2
+
+ >>> l1({'a':1, 'b':1, 'c':1}, {'a':1, 'b':1, 'c':1})
+ 0.0
+ >>> l1({'a':2, 'b':2, 'c':2}, {'a':1, 'b':1, 'c':1})
+ 3.0
+ >>> l1(normalise({'a':2, 'b':2, 'c':2}), normalise({'a':1, 'b':1, 'c':1}))
+ 0.0
+ >>> l1({'a':0, 'b':2, 'c':0}, {'a':1, 'b':1, 'c':1})
+ 3.0
+ >>> l1({'a':0, 'b':1}, {'a':1, 'b':1})
+ 1.0
+ """
+ return lp(v1, v2, 1)</code></pre>
+</details>
+</dd>
+<dt id="szyfrow.support.norms.l1_scale"><code class="name flex">
+<span>def <span class="ident">l1_scale</span></span>(<span>f)</span>
+</code></dt>
+<dd>
+<div class="desc"><p>Scale a set of frequencies so they sum to one</p>
+<pre><code class="language-python-repl">>>> sorted(normalise({1: 1, 2: 0}).items())
+[(1, 1.0), (2, 0.0)]
+>>> sorted(normalise({1: 1, 2: 1}).items())
+[(1, 0.5), (2, 0.5)]
+>>> sorted(normalise({1: 1, 2: 1, 3: 1}).items()) # doctest: +ELLIPSIS
+[(1, 0.333...), (2, 0.333...), (3, 0.333...)]
+>>> sorted(normalise({1: 1, 2: 2, 3: 1}).items())
+[(1, 0.25), (2, 0.5), (3, 0.25)]
+</code></pre></div>
+<details class="source">
+<summary>
+<span>Expand source code</span>
+</summary>
+<pre><code class="python">def l1_scale(f):
+ """Scale a set of frequencies so they sum to one
+
+ >>> sorted(normalise({1: 1, 2: 0}).items())
+ [(1, 1.0), (2, 0.0)]
+ >>> sorted(normalise({1: 1, 2: 1}).items())
+ [(1, 0.5), (2, 0.5)]
+ >>> sorted(normalise({1: 1, 2: 1, 3: 1}).items()) # doctest: +ELLIPSIS
+ [(1, 0.333...), (2, 0.333...), (3, 0.333...)]
+ >>> sorted(normalise({1: 1, 2: 2, 3: 1}).items())
+ [(1, 0.25), (2, 0.5), (3, 0.25)]
+ """
+ return scale(f, l1)</code></pre>
+</details>
+</dd>
+<dt id="szyfrow.support.norms.l2"><code class="name flex">
+<span>def <span class="ident">l2</span></span>(<span>v1, v2=None)</span>
+</code></dt>
+<dd>
+<div class="desc"><p>Finds the distances between two frequency profiles, expressed as dictionaries.
+Assumes every key in frequencies1 is also in frequencies2</p>
+<pre><code class="language-python-repl">>>> l2({'a':1, 'b':1, 'c':1}, {'a':1, 'b':1, 'c':1})
+0.0
+>>> l2({'a':2, 'b':2, 'c':2}, {'a':1, 'b':1, 'c':1}) # doctest: +ELLIPSIS
+1.73205080...
+>>> l2(normalise({'a':2, 'b':2, 'c':2}), normalise({'a':1, 'b':1, 'c':1}))
+0.0
+>>> l2({'a':0, 'b':2, 'c':0}, {'a':1, 'b':1, 'c':1}) # doctest: +ELLIPSIS
+1.732050807...
+>>> l2(normalise({'a':0, 'b':2, 'c':0}), normalise({'a':1, 'b':1, 'c':1})) # doctest: +ELLIPSIS
+0.81649658...
+>>> l2({'a':0, 'b':1}, {'a':1, 'b':1})
+1.0
+</code></pre></div>
+<details class="source">
+<summary>
+<span>Expand source code</span>
+</summary>
+<pre><code class="python">def l2(v1, v2=None):
+ """Finds the distances between two frequency profiles, expressed as dictionaries.
+ Assumes every key in frequencies1 is also in frequencies2
+
+ >>> l2({'a':1, 'b':1, 'c':1}, {'a':1, 'b':1, 'c':1})
+ 0.0
+ >>> l2({'a':2, 'b':2, 'c':2}, {'a':1, 'b':1, 'c':1}) # doctest: +ELLIPSIS
+ 1.73205080...
+ >>> l2(normalise({'a':2, 'b':2, 'c':2}), normalise({'a':1, 'b':1, 'c':1}))
+ 0.0
+ >>> l2({'a':0, 'b':2, 'c':0}, {'a':1, 'b':1, 'c':1}) # doctest: +ELLIPSIS
+ 1.732050807...
+ >>> l2(normalise({'a':0, 'b':2, 'c':0}), \
+ normalise({'a':1, 'b':1, 'c':1})) # doctest: +ELLIPSIS
+ 0.81649658...
+ >>> l2({'a':0, 'b':1}, {'a':1, 'b':1})
+ 1.0
+ """
+ return lp(v1, v2, 2)</code></pre>
+</details>
+</dd>
+<dt id="szyfrow.support.norms.l2_scale"><code class="name flex">
+<span>def <span class="ident">l2_scale</span></span>(<span>f)</span>
+</code></dt>
+<dd>
+<div class="desc"><p>Scale a set of frequencies so they have a unit euclidean length</p>
+<pre><code class="language-python-repl">>>> sorted(euclidean_scale({1: 1, 2: 0}).items())
+[(1, 1.0), (2, 0.0)]
+>>> sorted(euclidean_scale({1: 1, 2: 1}).items()) # doctest: +ELLIPSIS
+[(1, 0.7071067...), (2, 0.7071067...)]
+>>> sorted(euclidean_scale({1: 1, 2: 1, 3: 1}).items()) # doctest: +ELLIPSIS
+[(1, 0.577350...), (2, 0.577350...), (3, 0.577350...)]
+>>> sorted(euclidean_scale({1: 1, 2: 2, 3: 1}).items()) # doctest: +ELLIPSIS
+[(1, 0.408248...), (2, 0.81649658...), (3, 0.408248...)]
+</code></pre></div>
+<details class="source">
+<summary>
+<span>Expand source code</span>
+</summary>
+<pre><code class="python">def l2_scale(f):
+ """Scale a set of frequencies so they have a unit euclidean length
+
+ >>> sorted(euclidean_scale({1: 1, 2: 0}).items())
+ [(1, 1.0), (2, 0.0)]
+ >>> sorted(euclidean_scale({1: 1, 2: 1}).items()) # doctest: +ELLIPSIS
+ [(1, 0.7071067...), (2, 0.7071067...)]
+ >>> sorted(euclidean_scale({1: 1, 2: 1, 3: 1}).items()) # doctest: +ELLIPSIS
+ [(1, 0.577350...), (2, 0.577350...), (3, 0.577350...)]
+ >>> sorted(euclidean_scale({1: 1, 2: 2, 3: 1}).items()) # doctest: +ELLIPSIS
+ [(1, 0.408248...), (2, 0.81649658...), (3, 0.408248...)]
+ """
+ return scale(f, l2)</code></pre>
+</details>
+</dd>
+<dt id="szyfrow.support.norms.l3"><code class="name flex">
+<span>def <span class="ident">l3</span></span>(<span>v1, v2=None)</span>
+</code></dt>
+<dd>
+<div class="desc"><p>Finds the distances between two frequency profiles, expressed as
+dictionaries. Assumes every key in frequencies1 is also in frequencies2</p>
+<pre><code class="language-python-repl">>>> l3({'a':1, 'b':1, 'c':1}, {'a':1, 'b':1, 'c':1})
+0.0
+>>> l3({'a':2, 'b':2, 'c':2}, {'a':1, 'b':1, 'c':1}) # doctest: +ELLIPSIS
+1.44224957...
+>>> l3({'a':0, 'b':2, 'c':0}, {'a':1, 'b':1, 'c':1}) # doctest: +ELLIPSIS
+1.4422495703...
+>>> l3(normalise({'a':0, 'b':2, 'c':0}), normalise({'a':1, 'b':1, 'c':1})) # doctest: +ELLIPSIS
+0.718144896...
+>>> l3({'a':0, 'b':1}, {'a':1, 'b':1})
+1.0
+>>> l3(normalise({'a':0, 'b':1}), normalise({'a':1, 'b':1})) # doctest: +ELLIPSIS
+0.6299605249...
+</code></pre></div>
+<details class="source">
+<summary>
+<span>Expand source code</span>
+</summary>
+<pre><code class="python">def l3(v1, v2=None):
+ """Finds the distances between two frequency profiles, expressed as
+ dictionaries. Assumes every key in frequencies1 is also in frequencies2
+
+ >>> l3({'a':1, 'b':1, 'c':1}, {'a':1, 'b':1, 'c':1})
+ 0.0
+ >>> l3({'a':2, 'b':2, 'c':2}, {'a':1, 'b':1, 'c':1}) # doctest: +ELLIPSIS
+ 1.44224957...
+ >>> l3({'a':0, 'b':2, 'c':0}, {'a':1, 'b':1, 'c':1}) # doctest: +ELLIPSIS
+ 1.4422495703...
+ >>> l3(normalise({'a':0, 'b':2, 'c':0}), \
+ normalise({'a':1, 'b':1, 'c':1})) # doctest: +ELLIPSIS
+ 0.718144896...
+ >>> l3({'a':0, 'b':1}, {'a':1, 'b':1})
+ 1.0
+ >>> l3(normalise({'a':0, 'b':1}), normalise({'a':1, 'b':1})) # doctest: +ELLIPSIS
+ 0.6299605249...
+ """
+ return lp(v1, v2, 3)</code></pre>
+</details>
+</dd>
+<dt id="szyfrow.support.norms.linf"><code class="name flex">
+<span>def <span class="ident">linf</span></span>(<span>v1, v2=None)</span>
+</code></dt>
+<dd>
+<div class="desc"><p>Finds the distances between two frequency profiles, expressed as
+dictionaries. Assumes every key in frequencies1 is also in frequencies2</p></div>
+<details class="source">
+<summary>
+<span>Expand source code</span>
+</summary>
+<pre><code class="python">def linf(v1, v2=None):
+ """Finds the distances between two frequency profiles, expressed as
+ dictionaries. Assumes every key in frequencies1 is also in frequencies2"""
+ if v2:
+ vec = {k: abs(v1[k] - v2[k]) for k in (v1.keys() | v2.keys())}
+ else:
+ vec = v1
+ return max(v for v in vec.values())</code></pre>
+</details>
+</dd>
+<dt id="szyfrow.support.norms.lp"><code class="name flex">
+<span>def <span class="ident">lp</span></span>(<span>v1, v2=None, p=2)</span>
+</code></dt>
+<dd>
+<div class="desc"><p>Find the L_p norm. If passed one vector, find the length of that vector.
+If passed two vectors, find the length of the difference between them.</p></div>
+<details class="source">
+<summary>
+<span>Expand source code</span>
+</summary>
+<pre><code class="python">def lp(v1, v2=None, p=2):
+ """Find the L_p norm. If passed one vector, find the length of that vector.
+ If passed two vectors, find the length of the difference between them.
+ """
+ if v2:
+ vec = {k: abs(v1[k] - v2[k]) for k in (v1.keys() | v2.keys())}
+ else:
+ vec = v1
+ return sum(v ** p for v in vec.values()) ** (1.0 / p)</code></pre>
+</details>
+</dd>
+<dt id="szyfrow.support.norms.normalise"><code class="name flex">
+<span>def <span class="ident">normalise</span></span>(<span>f)</span>
+</code></dt>
+<dd>
+<div class="desc"><p>Scale a set of frequencies so they sum to one</p>
+<pre><code class="language-python-repl">>>> sorted(normalise({1: 1, 2: 0}).items())
+[(1, 1.0), (2, 0.0)]
+>>> sorted(normalise({1: 1, 2: 1}).items())
+[(1, 0.5), (2, 0.5)]
+>>> sorted(normalise({1: 1, 2: 1, 3: 1}).items()) # doctest: +ELLIPSIS
+[(1, 0.333...), (2, 0.333...), (3, 0.333...)]
+>>> sorted(normalise({1: 1, 2: 2, 3: 1}).items())
+[(1, 0.25), (2, 0.5), (3, 0.25)]
+</code></pre></div>
+<details class="source">
+<summary>
+<span>Expand source code</span>
+</summary>
+<pre><code class="python">def l1_scale(f):
+ """Scale a set of frequencies so they sum to one
+
+ >>> sorted(normalise({1: 1, 2: 0}).items())
+ [(1, 1.0), (2, 0.0)]
+ >>> sorted(normalise({1: 1, 2: 1}).items())
+ [(1, 0.5), (2, 0.5)]
+ >>> sorted(normalise({1: 1, 2: 1, 3: 1}).items()) # doctest: +ELLIPSIS
+ [(1, 0.333...), (2, 0.333...), (3, 0.333...)]
+ >>> sorted(normalise({1: 1, 2: 2, 3: 1}).items())
+ [(1, 0.25), (2, 0.5), (3, 0.25)]
+ """
+ return scale(f, l1)</code></pre>
+</details>
+</dd>
+<dt id="szyfrow.support.norms.scale"><code class="name flex">
+<span>def <span class="ident">scale</span></span>(<span>frequencies, norm=<function l2>)</span>
+</code></dt>
+<dd>
+<div class="desc"></div>
+<details class="source">
+<summary>
+<span>Expand source code</span>
+</summary>
+<pre><code class="python">def scale(frequencies, norm=l2):
+ length = norm(frequencies)
+ return collections.defaultdict(int,
+ {k: v / length for k, v in frequencies.items()})</code></pre>
+</details>
+</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.support" href="index.html">szyfrow.support</a></code></li>
+</ul>
+</li>
+<li><h3><a href="#header-functions">Functions</a></h3>
+<ul class="two-column">
+<li><code><a title="szyfrow.support.norms.cosine_similarity" href="#szyfrow.support.norms.cosine_similarity">cosine_similarity</a></code></li>
+<li><code><a title="szyfrow.support.norms.euclidean_distance" href="#szyfrow.support.norms.euclidean_distance">euclidean_distance</a></code></li>
+<li><code><a title="szyfrow.support.norms.euclidean_scale" href="#szyfrow.support.norms.euclidean_scale">euclidean_scale</a></code></li>
+<li><code><a title="szyfrow.support.norms.geometric_mean" href="#szyfrow.support.norms.geometric_mean">geometric_mean</a></code></li>
+<li><code><a title="szyfrow.support.norms.harmonic_mean" href="#szyfrow.support.norms.harmonic_mean">harmonic_mean</a></code></li>
+<li><code><a title="szyfrow.support.norms.l1" href="#szyfrow.support.norms.l1">l1</a></code></li>
+<li><code><a title="szyfrow.support.norms.l1_scale" href="#szyfrow.support.norms.l1_scale">l1_scale</a></code></li>
+<li><code><a title="szyfrow.support.norms.l2" href="#szyfrow.support.norms.l2">l2</a></code></li>
+<li><code><a title="szyfrow.support.norms.l2_scale" href="#szyfrow.support.norms.l2_scale">l2_scale</a></code></li>
+<li><code><a title="szyfrow.support.norms.l3" href="#szyfrow.support.norms.l3">l3</a></code></li>
+<li><code><a title="szyfrow.support.norms.linf" href="#szyfrow.support.norms.linf">linf</a></code></li>
+<li><code><a title="szyfrow.support.norms.lp" href="#szyfrow.support.norms.lp">lp</a></code></li>
+<li><code><a title="szyfrow.support.norms.normalise" href="#szyfrow.support.norms.normalise">normalise</a></code></li>
+<li><code><a title="szyfrow.support.norms.scale" href="#szyfrow.support.norms.scale">scale</a></code></li>
+</ul>
+</li>
+</ul>
+</nav>
+</main>
+<footer id="footer">
+<p>Generated by <a href="https://pdoc3.github.io/pdoc"><cite>pdoc</cite> 0.9.2</a>.</p>
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+<script>window.addEventListener('DOMContentLoaded', () => hljs.initHighlighting())</script>
+</head>
+<body>
+<main>
+<article id="content">
+<header>
+<h1 class="title">Module <code>szyfrow.support.plot_frequency_histogram</code></h1>
+</header>
+<section id="section-intro">
+<details class="source">
+<summary>
+<span>Expand source code</span>
+</summary>
+<pre><code class="python">import matplotlib.pyplot as plt
+
+def plot_frequency_histogram(freqs, sort_key=None):
+ x = range(len(freqs))
+ y = [freqs[l] for l in sorted(freqs, key=sort_key)]
+ f = plt.figure()
+ ax = f.add_axes([0.1, 0.1, 0.9, 0.9])
+ ax.bar(x, y, align='center')
+ ax.set_xticks(x)
+ ax.set_xticklabels(sorted(freqs, key=sort_key))
+ f.show()
+
+if __name__ == "__main__":
+ import doctest
+ doctest.testmod()</code></pre>
+</details>
+</section>
+<section>
+</section>
+<section>
+</section>
+<section>
+<h2 class="section-title" id="header-functions">Functions</h2>
+<dl>
+<dt id="szyfrow.support.plot_frequency_histogram.plot_frequency_histogram"><code class="name flex">
+<span>def <span class="ident">plot_frequency_histogram</span></span>(<span>freqs, sort_key=None)</span>
+</code></dt>
+<dd>
+<div class="desc"></div>
+<details class="source">
+<summary>
+<span>Expand source code</span>
+</summary>
+<pre><code class="python">def plot_frequency_histogram(freqs, sort_key=None):
+ x = range(len(freqs))
+ y = [freqs[l] for l in sorted(freqs, key=sort_key)]
+ f = plt.figure()
+ ax = f.add_axes([0.1, 0.1, 0.9, 0.9])
+ ax.bar(x, y, align='center')
+ ax.set_xticks(x)
+ ax.set_xticklabels(sorted(freqs, key=sort_key))
+ f.show()</code></pre>
+</details>
+</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.support" href="index.html">szyfrow.support</a></code></li>
+</ul>
+</li>
+<li><h3><a href="#header-functions">Functions</a></h3>
+<ul class="">
+<li><code><a title="szyfrow.support.plot_frequency_histogram.plot_frequency_histogram" href="#szyfrow.support.plot_frequency_histogram.plot_frequency_histogram">plot_frequency_histogram</a></code></li>
+</ul>
+</li>
+</ul>
+</nav>
+</main>
+<footer id="footer">
+<p>Generated by <a href="https://pdoc3.github.io/pdoc"><cite>pdoc</cite> 0.9.1</a>.</p>
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+<meta name="description" content="Setments a string of characters into words, following a language model …" />
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+<style media="print">@media print{#sidebar h1{page-break-before:always}.source{display:none}}@media print{*{background:transparent !important;color:#000 !important;box-shadow:none !important;text-shadow:none !important}a[href]:after{content:" (" attr(href) ")";font-size:90%}a[href][title]:after{content:none}abbr[title]:after{content:" (" attr(title) ")"}.ir a:after,a[href^="javascript:"]:after,a[href^="#"]:after{content:""}pre,blockquote{border:1px solid #999;page-break-inside:avoid}thead{display:table-header-group}tr,img{page-break-inside:avoid}img{max-width:100% !important}@page{margin:0.5cm}p,h2,h3{orphans:3;widows:3}h1,h2,h3,h4,h5,h6{page-break-after:avoid}}</style>
+<script defer src="https://cdnjs.cloudflare.com/ajax/libs/highlight.js/10.1.1/highlight.min.js" integrity="sha256-Uv3H6lx7dJmRfRvH8TH6kJD1TSK1aFcwgx+mdg3epi8=" crossorigin></script>
+<script>window.addEventListener('DOMContentLoaded', () => hljs.initHighlighting())</script>
+</head>
+<body>
+<main>
+<article id="content">
+<header>
+<h1 class="title">Module <code>szyfrow.support.segment</code></h1>
+</header>
+<section id="section-intro">
+<p>Setments a string of characters into words, following a language model.</p>
+<p>Implementation taken from <a href="https://norvig.com/ngrams/ch14.pdf">Peter Norvig</a></p>
+<details class="source">
+<summary>
+<span>Expand source code</span>
+</summary>
+<pre><code class="python">"""Setments a string of characters into words, following a language model.
+
+Implementation taken from [Peter Norvig](https://norvig.com/ngrams/ch14.pdf)
+"""
+
+import sys
+from functools import lru_cache
+from szyfrow.support.language_models import Pwords
+
+sys.setrecursionlimit(1000000)
+
+@lru_cache()
+def segment(text):
+ """Return a list of words that is the best segmentation of text.
+ """
+ if not text: return []
+ candidates = ([first]+segment(rest) for first,rest in splits(text))
+ return max(candidates, key=Pwords)
+
+def splits(text, L=20):
+ """Return a list of all possible (first, rest) pairs, len(first)<=L.
+ """
+ return [(text[:i+1], text[i+1:])
+ for i in range(min(len(text), L))]</code></pre>
+</details>
+</section>
+<section>
+</section>
+<section>
+</section>
+<section>
+<h2 class="section-title" id="header-functions">Functions</h2>
+<dl>
+<dt id="szyfrow.support.segment.segment"><code class="name flex">
+<span>def <span class="ident">segment</span></span>(<span>text)</span>
+</code></dt>
+<dd>
+<div class="desc"><p>Return a list of words that is the best segmentation of text.</p></div>
+<details class="source">
+<summary>
+<span>Expand source code</span>
+</summary>
+<pre><code class="python">@lru_cache()
+def segment(text):
+ """Return a list of words that is the best segmentation of text.
+ """
+ if not text: return []
+ candidates = ([first]+segment(rest) for first,rest in splits(text))
+ return max(candidates, key=Pwords)</code></pre>
+</details>
+</dd>
+<dt id="szyfrow.support.segment.splits"><code class="name flex">
+<span>def <span class="ident">splits</span></span>(<span>text, L=20)</span>
+</code></dt>
+<dd>
+<div class="desc"><p>Return a list of all possible (first, rest) pairs, len(first)<=L.</p></div>
+<details class="source">
+<summary>
+<span>Expand source code</span>
+</summary>
+<pre><code class="python">def splits(text, L=20):
+ """Return a list of all possible (first, rest) pairs, len(first)<=L.
+ """
+ return [(text[:i+1], text[i+1:])
+ for i in range(min(len(text), L))]</code></pre>
+</details>
+</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.support" href="index.html">szyfrow.support</a></code></li>
+</ul>
+</li>
+<li><h3><a href="#header-functions">Functions</a></h3>
+<ul class="">
+<li><code><a title="szyfrow.support.segment.segment" href="#szyfrow.support.segment.segment">segment</a></code></li>
+<li><code><a title="szyfrow.support.segment.splits" href="#szyfrow.support.segment.splits">splits</a></code></li>
+</ul>
+</li>
+</ul>
+</nav>
+</main>
+<footer id="footer">
+<p>Generated by <a href="https://pdoc3.github.io/pdoc"><cite>pdoc</cite> 0.9.2</a>.</p>
+</footer>
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+<meta name="viewport" content="width=device-width, initial-scale=1, minimum-scale=1" />
+<meta name="generator" content="pdoc 0.9.2" />
+<title>szyfrow.support.text_prettify API documentation</title>
+<meta name="description" content="Various functions for prettifying text, useful when cipher routines generate
+strings of letters without spaces." />
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+<style media="print">@media print{#sidebar h1{page-break-before:always}.source{display:none}}@media print{*{background:transparent !important;color:#000 !important;box-shadow:none !important;text-shadow:none !important}a[href]:after{content:" (" attr(href) ")";font-size:90%}a[href][title]:after{content:none}abbr[title]:after{content:" (" attr(title) ")"}.ir a:after,a[href^="javascript:"]:after,a[href^="#"]:after{content:""}pre,blockquote{border:1px solid #999;page-break-inside:avoid}thead{display:table-header-group}tr,img{page-break-inside:avoid}img{max-width:100% !important}@page{margin:0.5cm}p,h2,h3{orphans:3;widows:3}h1,h2,h3,h4,h5,h6{page-break-after:avoid}}</style>
+<script defer src="https://cdnjs.cloudflare.com/ajax/libs/highlight.js/10.1.1/highlight.min.js" integrity="sha256-Uv3H6lx7dJmRfRvH8TH6kJD1TSK1aFcwgx+mdg3epi8=" crossorigin></script>
+<script>window.addEventListener('DOMContentLoaded', () => hljs.initHighlighting())</script>
+</head>
+<body>
+<main>
+<article id="content">
+<header>
+<h1 class="title">Module <code>szyfrow.support.text_prettify</code></h1>
+</header>
+<section id="section-intro">
+<p>Various functions for prettifying text, useful when cipher routines generate
+strings of letters without spaces.</p>
+<details class="source">
+<summary>
+<span>Expand source code</span>
+</summary>
+<pre><code class="python">"""Various functions for prettifying text, useful when cipher routines generate
+strings of letters without spaces.
+"""
+
+import string
+from szyfrow.support.segment import segment
+from szyfrow.support.utilities import cat, lcat, sanitise
+
+
+def prettify(text, width=100):
+ """Segment a text into words, then pack into lines, and combine the lines
+ into a single string for printing."""
+ return lcat(tpack(segment(text), width=width))
+
+
+def tpack(text, width=100):
+ """Pack a list of words into lines, so long as each line (including
+ intervening spaces) is no longer than _width_"""
+ lines = [text[0]]
+ for word in text[1:]:
+ if len(lines[-1]) + 1 + len(word) <= width:
+ lines[-1] += (' ' + word)
+ else:
+ lines += [word]
+ return lines
+
+
+def depunctuate_character(c):
+ """Record the punctuation of a character"""
+ if c in string.ascii_uppercase:
+ return 'UPPER'
+ elif c in string.ascii_lowercase:
+ return 'LOWER'
+ else:
+ return c
+
+
+def depunctuate(text):
+ """Record the punctuation of a string, so it can be applied to a converted
+ version of the string.
+
+ For example,
+ punct = depunctuate(ciphertext)
+ plaintext = decipher(sanitise(ciphertext))
+ readable_plaintext = repunctuate(plaintext, punct)
+ """
+ return [depunctuate_character(c) for c in text]
+
+
+def repunctuate_character(letters, punctuation):
+ """Apply the recorded punctuation to a character. The letters must be
+ an iterator of base characters."""
+ if punctuation == 'UPPER':
+ return next(letters).upper()
+ elif punctuation == 'LOWER':
+ return next(letters).lower()
+ else:
+ return punctuation
+
+
+def repunctuate(text, punctuation):
+ """Apply the recored punctuation to a sanitised string.
+
+ For example,
+ punct = depunctuate(ciphertext)
+ plaintext = decipher(sanitise(ciphertext))
+ readable_plaintext = repunctuate(plaintext, punct)
+ """
+ letters = iter(sanitise(text))
+ return cat(repunctuate_character(letters, p) for p in punctuation)</code></pre>
+</details>
+</section>
+<section>
+</section>
+<section>
+</section>
+<section>
+<h2 class="section-title" id="header-functions">Functions</h2>
+<dl>
+<dt id="szyfrow.support.text_prettify.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.support.text_prettify.depunctuate"><code class="name flex">
+<span>def <span class="ident">depunctuate</span></span>(<span>text)</span>
+</code></dt>
+<dd>
+<div class="desc"><p>Record the punctuation of a string, so it can be applied to a converted
+version of the string.</p>
+<p>For example,
+punct = depunctuate(ciphertext)
+plaintext = decipher(sanitise(ciphertext))
+readable_plaintext = repunctuate(plaintext, punct)</p></div>
+<details class="source">
+<summary>
+<span>Expand source code</span>
+</summary>
+<pre><code class="python">def depunctuate(text):
+ """Record the punctuation of a string, so it can be applied to a converted
+ version of the string.
+
+ For example,
+ punct = depunctuate(ciphertext)
+ plaintext = decipher(sanitise(ciphertext))
+ readable_plaintext = repunctuate(plaintext, punct)
+ """
+ return [depunctuate_character(c) for c in text]</code></pre>
+</details>
+</dd>
+<dt id="szyfrow.support.text_prettify.depunctuate_character"><code class="name flex">
+<span>def <span class="ident">depunctuate_character</span></span>(<span>c)</span>
+</code></dt>
+<dd>
+<div class="desc"><p>Record the punctuation of a character</p></div>
+<details class="source">
+<summary>
+<span>Expand source code</span>
+</summary>
+<pre><code class="python">def depunctuate_character(c):
+ """Record the punctuation of a character"""
+ if c in string.ascii_uppercase:
+ return 'UPPER'
+ elif c in string.ascii_lowercase:
+ return 'LOWER'
+ else:
+ return c</code></pre>
+</details>
+</dd>
+<dt id="szyfrow.support.text_prettify.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.support.text_prettify.prettify"><code class="name flex">
+<span>def <span class="ident">prettify</span></span>(<span>text, width=100)</span>
+</code></dt>
+<dd>
+<div class="desc"><p>Segment a text into words, then pack into lines, and combine the lines
+into a single string for printing.</p></div>
+<details class="source">
+<summary>
+<span>Expand source code</span>
+</summary>
+<pre><code class="python">def prettify(text, width=100):
+ """Segment a text into words, then pack into lines, and combine the lines
+ into a single string for printing."""
+ return lcat(tpack(segment(text), width=width))</code></pre>
+</details>
+</dd>
+<dt id="szyfrow.support.text_prettify.repunctuate"><code class="name flex">
+<span>def <span class="ident">repunctuate</span></span>(<span>text, punctuation)</span>
+</code></dt>
+<dd>
+<div class="desc"><p>Apply the recored punctuation to a sanitised string.</p>
+<p>For example,
+punct = depunctuate(ciphertext)
+plaintext = decipher(sanitise(ciphertext))
+readable_plaintext = repunctuate(plaintext, punct)</p></div>
+<details class="source">
+<summary>
+<span>Expand source code</span>
+</summary>
+<pre><code class="python">def repunctuate(text, punctuation):
+ """Apply the recored punctuation to a sanitised string.
+
+ For example,
+ punct = depunctuate(ciphertext)
+ plaintext = decipher(sanitise(ciphertext))
+ readable_plaintext = repunctuate(plaintext, punct)
+ """
+ letters = iter(sanitise(text))
+ return cat(repunctuate_character(letters, p) for p in punctuation)</code></pre>
+</details>
+</dd>
+<dt id="szyfrow.support.text_prettify.repunctuate_character"><code class="name flex">
+<span>def <span class="ident">repunctuate_character</span></span>(<span>letters, punctuation)</span>
+</code></dt>
+<dd>
+<div class="desc"><p>Apply the recorded punctuation to a character. The letters must be
+an iterator of base characters.</p></div>
+<details class="source">
+<summary>
+<span>Expand source code</span>
+</summary>
+<pre><code class="python">def repunctuate_character(letters, punctuation):
+ """Apply the recorded punctuation to a character. The letters must be
+ an iterator of base characters."""
+ if punctuation == 'UPPER':
+ return next(letters).upper()
+ elif punctuation == 'LOWER':
+ return next(letters).lower()
+ else:
+ return punctuation</code></pre>
+</details>
+</dd>
+<dt id="szyfrow.support.text_prettify.tpack"><code class="name flex">
+<span>def <span class="ident">tpack</span></span>(<span>text, width=100)</span>
+</code></dt>
+<dd>
+<div class="desc"><p>Pack a list of words into lines, so long as each line (including
+intervening spaces) is no longer than <em>width</em></p></div>
+<details class="source">
+<summary>
+<span>Expand source code</span>
+</summary>
+<pre><code class="python">def tpack(text, width=100):
+ """Pack a list of words into lines, so long as each line (including
+ intervening spaces) is no longer than _width_"""
+ lines = [text[0]]
+ for word in text[1:]:
+ if len(lines[-1]) + 1 + len(word) <= width:
+ lines[-1] += (' ' + word)
+ else:
+ lines += [word]
+ return lines</code></pre>
+</details>
+</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.support" href="index.html">szyfrow.support</a></code></li>
+</ul>
+</li>
+<li><h3><a href="#header-functions">Functions</a></h3>
+<ul class="">
+<li><code><a title="szyfrow.support.text_prettify.cat" href="#szyfrow.support.text_prettify.cat">cat</a></code></li>
+<li><code><a title="szyfrow.support.text_prettify.depunctuate" href="#szyfrow.support.text_prettify.depunctuate">depunctuate</a></code></li>
+<li><code><a title="szyfrow.support.text_prettify.depunctuate_character" href="#szyfrow.support.text_prettify.depunctuate_character">depunctuate_character</a></code></li>
+<li><code><a title="szyfrow.support.text_prettify.lcat" href="#szyfrow.support.text_prettify.lcat">lcat</a></code></li>
+<li><code><a title="szyfrow.support.text_prettify.prettify" href="#szyfrow.support.text_prettify.prettify">prettify</a></code></li>
+<li><code><a title="szyfrow.support.text_prettify.repunctuate" href="#szyfrow.support.text_prettify.repunctuate">repunctuate</a></code></li>
+<li><code><a title="szyfrow.support.text_prettify.repunctuate_character" href="#szyfrow.support.text_prettify.repunctuate_character">repunctuate_character</a></code></li>
+<li><code><a title="szyfrow.support.text_prettify.tpack" href="#szyfrow.support.text_prettify.tpack">tpack</a></code></li>
+</ul>
+</li>
+</ul>
+</nav>
+</main>
+<footer id="footer">
+<p>Generated by <a href="https://pdoc3.github.io/pdoc"><cite>pdoc</cite> 0.9.2</a>.</p>
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+<article id="content">
+<header>
+<h1 class="title">Module <code>szyfrow.support.utilities</code></h1>
+</header>
+<section id="section-intro">
+<p>A mish-mash of utility functions</p>
+<details class="source">
+<summary>
+<span>Expand source code</span>
+</summary>
+<pre><code class="python">"""A mish-mash of utility functions"""
+
+import string
+import collections
+import unicodedata
+from itertools import zip_longest
+
+cat = ''.join
+"""join a a list of letters into a string."""
+
+wcat = ' '.join
+"""join a list of words into a string, separated by spaces"""
+
+lcat = '\n'.join
+"""join a list of lines, separated by newline"""
+
+def pos(letter):
+ """Return the position of a letter in the alphabet (0-25)"""
+ if letter in string.ascii_lowercase:
+ return ord(letter) - ord('a')
+ elif letter in string.ascii_uppercase:
+ return ord(letter) - ord('A')
+ else:
+ raise ValueError('pos requires input of {} to be an ascii letter'.format(letter))
+
+def unpos(number):
+ """Return the letter in the given position in the alphabet (mod 26)"""
+ return chr(number % 26 + ord('a'))
+
+def pad(message_len, group_len, fillvalue):
+ """Return the padding needed to extend a message to a multiple of group_len
+ in length.
+
+ fillvalue can be a function or a literal value. If a function, it is called
+ once for each padded character. Use this with fillvalue=random_english_letter
+ to pad a message with random letters.
+ """
+ padding_length = group_len - message_len % group_len
+ if padding_length == group_len: padding_length = 0
+ padding = ''
+ if callable(fillvalue):
+ for i in range(padding_length):
+ padding += fillvalue()
+ else:
+ padding += fillvalue * padding_length
+ return padding
+
+def every_nth(text, n, fillvalue=''):
+ """Returns n strings, each of which consists of every nth character,
+ starting with the 0th, 1st, 2nd, ... (n-1)th character
+
+ >>> every_nth(string.ascii_lowercase, 5)
+ ['afkpuz', 'bglqv', 'chmrw', 'dinsx', 'ejoty']
+ >>> every_nth(string.ascii_lowercase, 1)
+ ['abcdefghijklmnopqrstuvwxyz']
+ >>> every_nth(string.ascii_lowercase, 26) # doctest: +NORMALIZE_WHITESPACE
+ ['a', 'b', 'c', 'd', 'e', 'f', 'g', 'h', 'i', 'j', 'k', 'l', 'm', 'n',
+ 'o', 'p', 'q', 'r', 's', 't', 'u', 'v', 'w', 'x', 'y', 'z']
+ >>> every_nth(string.ascii_lowercase, 5, fillvalue='!')
+ ['afkpuz', 'bglqv!', 'chmrw!', 'dinsx!', 'ejoty!']
+ """
+ split_text = chunks(text, n, fillvalue)
+ return [cat(l) for l in zip_longest(*split_text, fillvalue=fillvalue)]
+
+def combine_every_nth(split_text):
+ """Reforms a text split into every_nth strings
+
+ >>> combine_every_nth(every_nth(string.ascii_lowercase, 5))
+ 'abcdefghijklmnopqrstuvwxyz'
+ >>> combine_every_nth(every_nth(string.ascii_lowercase, 1))
+ 'abcdefghijklmnopqrstuvwxyz'
+ >>> combine_every_nth(every_nth(string.ascii_lowercase, 26))
+ 'abcdefghijklmnopqrstuvwxyz'
+ """
+ return cat([cat(l)
+ for l in zip_longest(*split_text, fillvalue='')])
+
+def chunks(text, n, fillvalue=None):
+ """Split a text into chunks of n characters
+
+ >>> chunks('abcdefghi', 3)
+ ['abc', 'def', 'ghi']
+ >>> chunks('abcdefghi', 4)
+ ['abcd', 'efgh', 'i']
+ >>> chunks('abcdefghi', 4, fillvalue='!')
+ ['abcd', 'efgh', 'i!!!']
+ """
+ if fillvalue:
+ # padding = fillvalue[0] * (n - len(text) % n)
+ padding = pad(len(text), n, fillvalue)
+ padded_text = text + padding
+ else:
+ padded_text = text
+ return [(padded_text)[i:i+n] for i in range(0, len(text), n)]
+
+def transpose(items, transposition):
+ """Moves items around according to the given transposition
+
+ >>> transpose(['a', 'b', 'c', 'd'], (0,1,2,3))
+ ['a', 'b', 'c', 'd']
+ >>> transpose(['a', 'b', 'c', 'd'], (3,1,2,0))
+ ['d', 'b', 'c', 'a']
+ >>> transpose([10,11,12,13,14,15], (3,2,4,1,5,0))
+ [13, 12, 14, 11, 15, 10]
+ """
+ transposed = [''] * len(transposition)
+ for p, t in enumerate(transposition):
+ transposed[p] = items[t]
+ return transposed
+
+def untranspose(items, transposition):
+ """Undoes a transpose
+
+ >>> untranspose(['a', 'b', 'c', 'd'], [0,1,2,3])
+ ['a', 'b', 'c', 'd']
+ >>> untranspose(['d', 'b', 'c', 'a'], [3,1,2,0])
+ ['a', 'b', 'c', 'd']
+ >>> untranspose([13, 12, 14, 11, 15, 10], [3,2,4,1,5,0])
+ [10, 11, 12, 13, 14, 15]
+ """
+ transposed = [''] * len(transposition)
+ for p, t in enumerate(transposition):
+ transposed[t] = items[p]
+ return transposed
+
+def deduplicate(text):
+ """Return the input string, but with second (and subsequent) occurrences
+ of a character removed.
+ """
+ return list(collections.OrderedDict.fromkeys(text))
+
+
+def letters(text):
+ """Remove all non-alphabetic characters from a text
+ >>> letters('The Quick')
+ 'TheQuick'
+ >>> letters('The Quick BROWN fox jumped! over... the (9lazy) DOG')
+ 'TheQuickBROWNfoxjumpedoverthelazyDOG'
+ """
+ return ''.join([c for c in text if c in string.ascii_letters])
+
+# Special characters for conversion, such as smart quotes.
+unaccent_specials = ''.maketrans({"’": "'", '“': '"', '”': '"'})
+
+def unaccent(text):
+ """Remove all accents from letters.
+ It does this by converting the unicode string to decomposed compatability
+ form, dropping all the combining accents, then re-encoding the bytes.
+
+ >>> unaccent('hello')
+ 'hello'
+ >>> unaccent('HELLO')
+ 'HELLO'
+ >>> unaccent('héllo')
+ 'hello'
+ >>> unaccent('héllö')
+ 'hello'
+ >>> unaccent('HÉLLÖ')
+ 'HELLO'
+ """
+ translated_text = text.translate(unaccent_specials)
+ return unicodedata.normalize('NFKD', translated_text).\
+ encode('ascii', 'ignore').\
+ decode('utf-8')
+
+def sanitise(text):
+ """Remove all non-alphabetic characters and convert the text to lowercase
+
+ >>> sanitise('The Quick')
+ 'thequick'
+ >>> sanitise('The Quick BROWN fox jumped! over... the (9lazy) DOG')
+ 'thequickbrownfoxjumpedoverthelazydog'
+ >>> sanitise('HÉLLÖ')
+ 'hello'
+ """
+ return letters(unaccent(text)).lower()
+
+
+def index_of_coincidence(text):
+ """Index of coincidence of a string. This is low for random text,
+ higher for natural langauge.
+ """
+ stext = sanitise(text)
+ counts = collections.Counter(stext)
+ denom = len(stext) * (len(text) - 1) / 26
+ return (
+ sum(max(counts[l] * counts[l] - 1, 0) for l in string.ascii_lowercase)
+ /
+ denom
+ )
+
+
+def frequencies(text):
+ """Count the number of occurrences of each character in text
+
+ >>> sorted(frequencies('abcdefabc').items())
+ [('a', 2), ('b', 2), ('c', 2), ('d', 1), ('e', 1), ('f', 1)]
+ >>> sorted(frequencies('the quick brown fox jumped over the lazy ' \
+ 'dog').items()) # doctest: +NORMALIZE_WHITESPACE
+ [(' ', 8), ('a', 1), ('b', 1), ('c', 1), ('d', 2), ('e', 4), ('f', 1),
+ ('g', 1), ('h', 2), ('i', 1), ('j', 1), ('k', 1), ('l', 1), ('m', 1),
+ ('n', 1), ('o', 4), ('p', 1), ('q', 1), ('r', 2), ('t', 2), ('u', 2),
+ ('v', 1), ('w', 1), ('x', 1), ('y', 1), ('z', 1)]
+ >>> sorted(frequencies('The Quick BROWN fox jumped! over... the ' \
+ '(9lazy) DOG').items()) # doctest: +NORMALIZE_WHITESPACE
+ [(' ', 8), ('!', 1), ('(', 1), (')', 1), ('.', 3), ('9', 1), ('B', 1),
+ ('D', 1), ('G', 1), ('N', 1), ('O', 2), ('Q', 1), ('R', 1), ('T', 1),
+ ('W', 1), ('a', 1), ('c', 1), ('d', 1), ('e', 4), ('f', 1), ('h', 2),
+ ('i', 1), ('j', 1), ('k', 1), ('l', 1), ('m', 1), ('o', 2), ('p', 1),
+ ('r', 1), ('t', 1), ('u', 2), ('v', 1), ('x', 1), ('y', 1), ('z', 1)]
+ >>> sorted(frequencies(sanitise('The Quick BROWN fox jumped! over... '\
+ 'the (9lazy) DOG')).items()) # doctest: +NORMALIZE_WHITESPACE
+ [('a', 1), ('b', 1), ('c', 1), ('d', 2), ('e', 4), ('f', 1), ('g', 1),
+ ('h', 2), ('i', 1), ('j', 1), ('k', 1), ('l', 1), ('m', 1), ('n', 1),
+ ('o', 4), ('p', 1), ('q', 1), ('r', 2), ('t', 2), ('u', 2), ('v', 1),
+ ('w', 1), ('x', 1), ('y', 1), ('z', 1)]
+ >>> frequencies('abcdefabcdef')['x']
+ 0
+ """
+ return collections.Counter(c for c in text)
+
+if __name__ == "__main__":
+ import doctest
+ doctest.testmod()</code></pre>
+</details>
+</section>
+<section>
+</section>
+<section>
+</section>
+<section>
+<h2 class="section-title" id="header-functions">Functions</h2>
+<dl>
+<dt id="szyfrow.support.utilities.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.support.utilities.chunks"><code class="name flex">
+<span>def <span class="ident">chunks</span></span>(<span>text, n, fillvalue=None)</span>
+</code></dt>
+<dd>
+<div class="desc"><p>Split a text into chunks of n characters</p>
+<pre><code class="language-python-repl">>>> chunks('abcdefghi', 3)
+['abc', 'def', 'ghi']
+>>> chunks('abcdefghi', 4)
+['abcd', 'efgh', 'i']
+>>> chunks('abcdefghi', 4, fillvalue='!')
+['abcd', 'efgh', 'i!!!']
+</code></pre></div>
+<details class="source">
+<summary>
+<span>Expand source code</span>
+</summary>
+<pre><code class="python">def chunks(text, n, fillvalue=None):
+ """Split a text into chunks of n characters
+
+ >>> chunks('abcdefghi', 3)
+ ['abc', 'def', 'ghi']
+ >>> chunks('abcdefghi', 4)
+ ['abcd', 'efgh', 'i']
+ >>> chunks('abcdefghi', 4, fillvalue='!')
+ ['abcd', 'efgh', 'i!!!']
+ """
+ if fillvalue:
+ # padding = fillvalue[0] * (n - len(text) % n)
+ padding = pad(len(text), n, fillvalue)
+ padded_text = text + padding
+ else:
+ padded_text = text
+ return [(padded_text)[i:i+n] for i in range(0, len(text), n)]</code></pre>
+</details>
+</dd>
+<dt id="szyfrow.support.utilities.combine_every_nth"><code class="name flex">
+<span>def <span class="ident">combine_every_nth</span></span>(<span>split_text)</span>
+</code></dt>
+<dd>
+<div class="desc"><p>Reforms a text split into every_nth strings</p>
+<pre><code class="language-python-repl">>>> combine_every_nth(every_nth(string.ascii_lowercase, 5))
+'abcdefghijklmnopqrstuvwxyz'
+>>> combine_every_nth(every_nth(string.ascii_lowercase, 1))
+'abcdefghijklmnopqrstuvwxyz'
+>>> combine_every_nth(every_nth(string.ascii_lowercase, 26))
+'abcdefghijklmnopqrstuvwxyz'
+</code></pre></div>
+<details class="source">
+<summary>
+<span>Expand source code</span>
+</summary>
+<pre><code class="python">def combine_every_nth(split_text):
+ """Reforms a text split into every_nth strings
+
+ >>> combine_every_nth(every_nth(string.ascii_lowercase, 5))
+ 'abcdefghijklmnopqrstuvwxyz'
+ >>> combine_every_nth(every_nth(string.ascii_lowercase, 1))
+ 'abcdefghijklmnopqrstuvwxyz'
+ >>> combine_every_nth(every_nth(string.ascii_lowercase, 26))
+ 'abcdefghijklmnopqrstuvwxyz'
+ """
+ return cat([cat(l)
+ for l in zip_longest(*split_text, fillvalue='')])</code></pre>
+</details>
+</dd>
+<dt id="szyfrow.support.utilities.deduplicate"><code class="name flex">
+<span>def <span class="ident">deduplicate</span></span>(<span>text)</span>
+</code></dt>
+<dd>
+<div class="desc"><p>Return the input string, but with second (and subsequent) occurrences
+of a character removed.</p></div>
+<details class="source">
+<summary>
+<span>Expand source code</span>
+</summary>
+<pre><code class="python">def deduplicate(text):
+ """Return the input string, but with second (and subsequent) occurrences
+ of a character removed.
+ """
+ return list(collections.OrderedDict.fromkeys(text))</code></pre>
+</details>
+</dd>
+<dt id="szyfrow.support.utilities.every_nth"><code class="name flex">
+<span>def <span class="ident">every_nth</span></span>(<span>text, n, fillvalue='')</span>
+</code></dt>
+<dd>
+<div class="desc"><p>Returns n strings, each of which consists of every nth character,
+starting with the 0th, 1st, 2nd, … (n-1)th character</p>
+<pre><code class="language-python-repl">>>> every_nth(string.ascii_lowercase, 5)
+['afkpuz', 'bglqv', 'chmrw', 'dinsx', 'ejoty']
+>>> every_nth(string.ascii_lowercase, 1)
+['abcdefghijklmnopqrstuvwxyz']
+>>> every_nth(string.ascii_lowercase, 26) # doctest: +NORMALIZE_WHITESPACE
+['a', 'b', 'c', 'd', 'e', 'f', 'g', 'h', 'i', 'j', 'k', 'l', 'm', 'n',
+ 'o', 'p', 'q', 'r', 's', 't', 'u', 'v', 'w', 'x', 'y', 'z']
+>>> every_nth(string.ascii_lowercase, 5, fillvalue='!')
+['afkpuz', 'bglqv!', 'chmrw!', 'dinsx!', 'ejoty!']
+</code></pre></div>
+<details class="source">
+<summary>
+<span>Expand source code</span>
+</summary>
+<pre><code class="python">def every_nth(text, n, fillvalue=''):
+ """Returns n strings, each of which consists of every nth character,
+ starting with the 0th, 1st, 2nd, ... (n-1)th character
+
+ >>> every_nth(string.ascii_lowercase, 5)
+ ['afkpuz', 'bglqv', 'chmrw', 'dinsx', 'ejoty']
+ >>> every_nth(string.ascii_lowercase, 1)
+ ['abcdefghijklmnopqrstuvwxyz']
+ >>> every_nth(string.ascii_lowercase, 26) # doctest: +NORMALIZE_WHITESPACE
+ ['a', 'b', 'c', 'd', 'e', 'f', 'g', 'h', 'i', 'j', 'k', 'l', 'm', 'n',
+ 'o', 'p', 'q', 'r', 's', 't', 'u', 'v', 'w', 'x', 'y', 'z']
+ >>> every_nth(string.ascii_lowercase, 5, fillvalue='!')
+ ['afkpuz', 'bglqv!', 'chmrw!', 'dinsx!', 'ejoty!']
+ """
+ split_text = chunks(text, n, fillvalue)
+ return [cat(l) for l in zip_longest(*split_text, fillvalue=fillvalue)]</code></pre>
+</details>
+</dd>
+<dt id="szyfrow.support.utilities.frequencies"><code class="name flex">
+<span>def <span class="ident">frequencies</span></span>(<span>text)</span>
+</code></dt>
+<dd>
+<div class="desc"><p>Count the number of occurrences of each character in text</p>
+<pre><code class="language-python-repl">>>> sorted(frequencies('abcdefabc').items())
+[('a', 2), ('b', 2), ('c', 2), ('d', 1), ('e', 1), ('f', 1)]
+>>> sorted(frequencies('the quick brown fox jumped over the lazy ' 'dog').items()) # doctest: +NORMALIZE_WHITESPACE
+[(' ', 8), ('a', 1), ('b', 1), ('c', 1), ('d', 2), ('e', 4), ('f', 1),
+ ('g', 1), ('h', 2), ('i', 1), ('j', 1), ('k', 1), ('l', 1), ('m', 1),
+ ('n', 1), ('o', 4), ('p', 1), ('q', 1), ('r', 2), ('t', 2), ('u', 2),
+ ('v', 1), ('w', 1), ('x', 1), ('y', 1), ('z', 1)]
+>>> sorted(frequencies('The Quick BROWN fox jumped! over... the ' '(9lazy) DOG').items()) # doctest: +NORMALIZE_WHITESPACE
+[(' ', 8), ('!', 1), ('(', 1), (')', 1), ('.', 3), ('9', 1), ('B', 1),
+ ('D', 1), ('G', 1), ('N', 1), ('O', 2), ('Q', 1), ('R', 1), ('T', 1),
+ ('W', 1), ('a', 1), ('c', 1), ('d', 1), ('e', 4), ('f', 1), ('h', 2),
+ ('i', 1), ('j', 1), ('k', 1), ('l', 1), ('m', 1), ('o', 2), ('p', 1),
+ ('r', 1), ('t', 1), ('u', 2), ('v', 1), ('x', 1), ('y', 1), ('z', 1)]
+>>> sorted(frequencies(sanitise('The Quick BROWN fox jumped! over... ' 'the (9lazy) DOG')).items()) # doctest: +NORMALIZE_WHITESPACE
+[('a', 1), ('b', 1), ('c', 1), ('d', 2), ('e', 4), ('f', 1), ('g', 1),
+ ('h', 2), ('i', 1), ('j', 1), ('k', 1), ('l', 1), ('m', 1), ('n', 1),
+ ('o', 4), ('p', 1), ('q', 1), ('r', 2), ('t', 2), ('u', 2), ('v', 1),
+ ('w', 1), ('x', 1), ('y', 1), ('z', 1)]
+>>> frequencies('abcdefabcdef')['x']
+0
+</code></pre></div>
+<details class="source">
+<summary>
+<span>Expand source code</span>
+</summary>
+<pre><code class="python">def frequencies(text):
+ """Count the number of occurrences of each character in text
+
+ >>> sorted(frequencies('abcdefabc').items())
+ [('a', 2), ('b', 2), ('c', 2), ('d', 1), ('e', 1), ('f', 1)]
+ >>> sorted(frequencies('the quick brown fox jumped over the lazy ' \
+ 'dog').items()) # doctest: +NORMALIZE_WHITESPACE
+ [(' ', 8), ('a', 1), ('b', 1), ('c', 1), ('d', 2), ('e', 4), ('f', 1),
+ ('g', 1), ('h', 2), ('i', 1), ('j', 1), ('k', 1), ('l', 1), ('m', 1),
+ ('n', 1), ('o', 4), ('p', 1), ('q', 1), ('r', 2), ('t', 2), ('u', 2),
+ ('v', 1), ('w', 1), ('x', 1), ('y', 1), ('z', 1)]
+ >>> sorted(frequencies('The Quick BROWN fox jumped! over... the ' \
+ '(9lazy) DOG').items()) # doctest: +NORMALIZE_WHITESPACE
+ [(' ', 8), ('!', 1), ('(', 1), (')', 1), ('.', 3), ('9', 1), ('B', 1),
+ ('D', 1), ('G', 1), ('N', 1), ('O', 2), ('Q', 1), ('R', 1), ('T', 1),
+ ('W', 1), ('a', 1), ('c', 1), ('d', 1), ('e', 4), ('f', 1), ('h', 2),
+ ('i', 1), ('j', 1), ('k', 1), ('l', 1), ('m', 1), ('o', 2), ('p', 1),
+ ('r', 1), ('t', 1), ('u', 2), ('v', 1), ('x', 1), ('y', 1), ('z', 1)]
+ >>> sorted(frequencies(sanitise('The Quick BROWN fox jumped! over... '\
+ 'the (9lazy) DOG')).items()) # doctest: +NORMALIZE_WHITESPACE
+ [('a', 1), ('b', 1), ('c', 1), ('d', 2), ('e', 4), ('f', 1), ('g', 1),
+ ('h', 2), ('i', 1), ('j', 1), ('k', 1), ('l', 1), ('m', 1), ('n', 1),
+ ('o', 4), ('p', 1), ('q', 1), ('r', 2), ('t', 2), ('u', 2), ('v', 1),
+ ('w', 1), ('x', 1), ('y', 1), ('z', 1)]
+ >>> frequencies('abcdefabcdef')['x']
+ 0
+ """
+ return collections.Counter(c for c in text)</code></pre>
+</details>
+</dd>
+<dt id="szyfrow.support.utilities.index_of_coincidence"><code class="name flex">
+<span>def <span class="ident">index_of_coincidence</span></span>(<span>text)</span>
+</code></dt>
+<dd>
+<div class="desc"><p>Index of coincidence of a string. This is low for random text,
+higher for natural langauge.</p></div>
+<details class="source">
+<summary>
+<span>Expand source code</span>
+</summary>
+<pre><code class="python">def index_of_coincidence(text):
+ """Index of coincidence of a string. This is low for random text,
+ higher for natural langauge.
+ """
+ stext = sanitise(text)
+ counts = collections.Counter(stext)
+ denom = len(stext) * (len(text) - 1) / 26
+ return (
+ sum(max(counts[l] * counts[l] - 1, 0) for l in string.ascii_lowercase)
+ /
+ denom
+ )</code></pre>
+</details>
+</dd>
+<dt id="szyfrow.support.utilities.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.support.utilities.letters"><code class="name flex">
+<span>def <span class="ident">letters</span></span>(<span>text)</span>
+</code></dt>
+<dd>
+<div class="desc"><p>Remove all non-alphabetic characters from a text</p>
+<pre><code class="language-python-repl">>>> letters('The Quick')
+'TheQuick'
+>>> letters('The Quick BROWN fox jumped! over... the (9lazy) DOG')
+'TheQuickBROWNfoxjumpedoverthelazyDOG'
+</code></pre></div>
+<details class="source">
+<summary>
+<span>Expand source code</span>
+</summary>
+<pre><code class="python">def letters(text):
+ """Remove all non-alphabetic characters from a text
+ >>> letters('The Quick')
+ 'TheQuick'
+ >>> letters('The Quick BROWN fox jumped! over... the (9lazy) DOG')
+ 'TheQuickBROWNfoxjumpedoverthelazyDOG'
+ """
+ return ''.join([c for c in text if c in string.ascii_letters])</code></pre>
+</details>
+</dd>
+<dt id="szyfrow.support.utilities.pad"><code class="name flex">
+<span>def <span class="ident">pad</span></span>(<span>message_len, group_len, fillvalue)</span>
+</code></dt>
+<dd>
+<div class="desc"><p>Return the padding needed to extend a message to a multiple of group_len
+in length.</p>
+<p>fillvalue can be a function or a literal value. If a function, it is called
+once for each padded character. Use this with fillvalue=random_english_letter
+to pad a message with random letters.</p></div>
+<details class="source">
+<summary>
+<span>Expand source code</span>
+</summary>
+<pre><code class="python">def pad(message_len, group_len, fillvalue):
+ """Return the padding needed to extend a message to a multiple of group_len
+ in length.
+
+ fillvalue can be a function or a literal value. If a function, it is called
+ once for each padded character. Use this with fillvalue=random_english_letter
+ to pad a message with random letters.
+ """
+ padding_length = group_len - message_len % group_len
+ if padding_length == group_len: padding_length = 0
+ padding = ''
+ if callable(fillvalue):
+ for i in range(padding_length):
+ padding += fillvalue()
+ else:
+ padding += fillvalue * padding_length
+ return padding</code></pre>
+</details>
+</dd>
+<dt id="szyfrow.support.utilities.pos"><code class="name flex">
+<span>def <span class="ident">pos</span></span>(<span>letter)</span>
+</code></dt>
+<dd>
+<div class="desc"><p>Return the position of a letter in the alphabet (0-25)</p></div>
+<details class="source">
+<summary>
+<span>Expand source code</span>
+</summary>
+<pre><code class="python">def pos(letter):
+ """Return the position of a letter in the alphabet (0-25)"""
+ if letter in string.ascii_lowercase:
+ return ord(letter) - ord('a')
+ elif letter in string.ascii_uppercase:
+ return ord(letter) - ord('A')
+ else:
+ raise ValueError('pos requires input of {} to be an ascii letter'.format(letter))</code></pre>
+</details>
+</dd>
+<dt id="szyfrow.support.utilities.sanitise"><code class="name flex">
+<span>def <span class="ident">sanitise</span></span>(<span>text)</span>
+</code></dt>
+<dd>
+<div class="desc"><p>Remove all non-alphabetic characters and convert the text to lowercase</p>
+<pre><code class="language-python-repl">>>> sanitise('The Quick')
+'thequick'
+>>> sanitise('The Quick BROWN fox jumped! over... the (9lazy) DOG')
+'thequickbrownfoxjumpedoverthelazydog'
+>>> sanitise('HÉLLÖ')
+'hello'
+</code></pre></div>
+<details class="source">
+<summary>
+<span>Expand source code</span>
+</summary>
+<pre><code class="python">def sanitise(text):
+ """Remove all non-alphabetic characters and convert the text to lowercase
+
+ >>> sanitise('The Quick')
+ 'thequick'
+ >>> sanitise('The Quick BROWN fox jumped! over... the (9lazy) DOG')
+ 'thequickbrownfoxjumpedoverthelazydog'
+ >>> sanitise('HÉLLÖ')
+ 'hello'
+ """
+ return letters(unaccent(text)).lower()</code></pre>
+</details>
+</dd>
+<dt id="szyfrow.support.utilities.transpose"><code class="name flex">
+<span>def <span class="ident">transpose</span></span>(<span>items, transposition)</span>
+</code></dt>
+<dd>
+<div class="desc"><p>Moves items around according to the given transposition</p>
+<pre><code class="language-python-repl">>>> transpose(['a', 'b', 'c', 'd'], (0,1,2,3))
+['a', 'b', 'c', 'd']
+>>> transpose(['a', 'b', 'c', 'd'], (3,1,2,0))
+['d', 'b', 'c', 'a']
+>>> transpose([10,11,12,13,14,15], (3,2,4,1,5,0))
+[13, 12, 14, 11, 15, 10]
+</code></pre></div>
+<details class="source">
+<summary>
+<span>Expand source code</span>
+</summary>
+<pre><code class="python">def transpose(items, transposition):
+ """Moves items around according to the given transposition
+
+ >>> transpose(['a', 'b', 'c', 'd'], (0,1,2,3))
+ ['a', 'b', 'c', 'd']
+ >>> transpose(['a', 'b', 'c', 'd'], (3,1,2,0))
+ ['d', 'b', 'c', 'a']
+ >>> transpose([10,11,12,13,14,15], (3,2,4,1,5,0))
+ [13, 12, 14, 11, 15, 10]
+ """
+ transposed = [''] * len(transposition)
+ for p, t in enumerate(transposition):
+ transposed[p] = items[t]
+ return transposed</code></pre>
+</details>
+</dd>
+<dt id="szyfrow.support.utilities.unaccent"><code class="name flex">
+<span>def <span class="ident">unaccent</span></span>(<span>text)</span>
+</code></dt>
+<dd>
+<div class="desc"><p>Remove all accents from letters.
+It does this by converting the unicode string to decomposed compatability
+form, dropping all the combining accents, then re-encoding the bytes.</p>
+<pre><code class="language-python-repl">>>> unaccent('hello')
+'hello'
+>>> unaccent('HELLO')
+'HELLO'
+>>> unaccent('héllo')
+'hello'
+>>> unaccent('héllö')
+'hello'
+>>> unaccent('HÉLLÖ')
+'HELLO'
+</code></pre></div>
+<details class="source">
+<summary>
+<span>Expand source code</span>
+</summary>
+<pre><code class="python">def unaccent(text):
+ """Remove all accents from letters.
+ It does this by converting the unicode string to decomposed compatability
+ form, dropping all the combining accents, then re-encoding the bytes.
+
+ >>> unaccent('hello')
+ 'hello'
+ >>> unaccent('HELLO')
+ 'HELLO'
+ >>> unaccent('héllo')
+ 'hello'
+ >>> unaccent('héllö')
+ 'hello'
+ >>> unaccent('HÉLLÖ')
+ 'HELLO'
+ """
+ translated_text = text.translate(unaccent_specials)
+ return unicodedata.normalize('NFKD', translated_text).\
+ encode('ascii', 'ignore').\
+ decode('utf-8')</code></pre>
+</details>
+</dd>
+<dt id="szyfrow.support.utilities.unpos"><code class="name flex">
+<span>def <span class="ident">unpos</span></span>(<span>number)</span>
+</code></dt>
+<dd>
+<div class="desc"><p>Return the letter in the given position in the alphabet (mod 26)</p></div>
+<details class="source">
+<summary>
+<span>Expand source code</span>
+</summary>
+<pre><code class="python">def unpos(number):
+ """Return the letter in the given position in the alphabet (mod 26)"""
+ return chr(number % 26 + ord('a'))</code></pre>
+</details>
+</dd>
+<dt id="szyfrow.support.utilities.untranspose"><code class="name flex">
+<span>def <span class="ident">untranspose</span></span>(<span>items, transposition)</span>
+</code></dt>
+<dd>
+<div class="desc"><p>Undoes a transpose</p>
+<pre><code class="language-python-repl">>>> untranspose(['a', 'b', 'c', 'd'], [0,1,2,3])
+['a', 'b', 'c', 'd']
+>>> untranspose(['d', 'b', 'c', 'a'], [3,1,2,0])
+['a', 'b', 'c', 'd']
+>>> untranspose([13, 12, 14, 11, 15, 10], [3,2,4,1,5,0])
+[10, 11, 12, 13, 14, 15]
+</code></pre></div>
+<details class="source">
+<summary>
+<span>Expand source code</span>
+</summary>
+<pre><code class="python">def untranspose(items, transposition):
+ """Undoes a transpose
+
+ >>> untranspose(['a', 'b', 'c', 'd'], [0,1,2,3])
+ ['a', 'b', 'c', 'd']
+ >>> untranspose(['d', 'b', 'c', 'a'], [3,1,2,0])
+ ['a', 'b', 'c', 'd']
+ >>> untranspose([13, 12, 14, 11, 15, 10], [3,2,4,1,5,0])
+ [10, 11, 12, 13, 14, 15]
+ """
+ transposed = [''] * len(transposition)
+ for p, t in enumerate(transposition):
+ transposed[t] = items[p]
+ return transposed</code></pre>
+</details>
+</dd>
+<dt id="szyfrow.support.utilities.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.support" href="index.html">szyfrow.support</a></code></li>
+</ul>
+</li>
+<li><h3><a href="#header-functions">Functions</a></h3>
+<ul class="">
+<li><code><a title="szyfrow.support.utilities.cat" href="#szyfrow.support.utilities.cat">cat</a></code></li>
+<li><code><a title="szyfrow.support.utilities.chunks" href="#szyfrow.support.utilities.chunks">chunks</a></code></li>
+<li><code><a title="szyfrow.support.utilities.combine_every_nth" href="#szyfrow.support.utilities.combine_every_nth">combine_every_nth</a></code></li>
+<li><code><a title="szyfrow.support.utilities.deduplicate" href="#szyfrow.support.utilities.deduplicate">deduplicate</a></code></li>
+<li><code><a title="szyfrow.support.utilities.every_nth" href="#szyfrow.support.utilities.every_nth">every_nth</a></code></li>
+<li><code><a title="szyfrow.support.utilities.frequencies" href="#szyfrow.support.utilities.frequencies">frequencies</a></code></li>
+<li><code><a title="szyfrow.support.utilities.index_of_coincidence" href="#szyfrow.support.utilities.index_of_coincidence">index_of_coincidence</a></code></li>
+<li><code><a title="szyfrow.support.utilities.lcat" href="#szyfrow.support.utilities.lcat">lcat</a></code></li>
+<li><code><a title="szyfrow.support.utilities.letters" href="#szyfrow.support.utilities.letters">letters</a></code></li>
+<li><code><a title="szyfrow.support.utilities.pad" href="#szyfrow.support.utilities.pad">pad</a></code></li>
+<li><code><a title="szyfrow.support.utilities.pos" href="#szyfrow.support.utilities.pos">pos</a></code></li>
+<li><code><a title="szyfrow.support.utilities.sanitise" href="#szyfrow.support.utilities.sanitise">sanitise</a></code></li>
+<li><code><a title="szyfrow.support.utilities.transpose" href="#szyfrow.support.utilities.transpose">transpose</a></code></li>
+<li><code><a title="szyfrow.support.utilities.unaccent" href="#szyfrow.support.utilities.unaccent">unaccent</a></code></li>
+<li><code><a title="szyfrow.support.utilities.unpos" href="#szyfrow.support.utilities.unpos">unpos</a></code></li>
+<li><code><a title="szyfrow.support.utilities.untranspose" href="#szyfrow.support.utilities.untranspose">untranspose</a></code></li>
+<li><code><a title="szyfrow.support.utilities.wcat" href="#szyfrow.support.utilities.wcat">wcat</a></code></li>
+</ul>
+</li>
+</ul>
+</nav>
+</main>
+<footer id="footer">
+<p>Generated by <a href="https://pdoc3.github.io/pdoc"><cite>pdoc</cite> 0.9.2</a>.</p>
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+<meta name="description" content="[Vigenère polyalphabetic substitution ciphers](https://en.wikipedia.org/wiki/Vigen%C3%A8re_cipher),
+mainly done by keyword. Also does Beaufort …" />
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+<article id="content">
+<header>
+<h1 class="title">Module <code>szyfrow.vigenere</code></h1>
+</header>
+<section id="section-intro">
+<p><a href="https://en.wikipedia.org/wiki/Vigen%C3%A8re_cipher">Vigenère polyalphabetic substitution ciphers</a>,
+mainly done by keyword. Also does Beaufort ciphers and Variant Beaufort
+ciphers.</p>
+<p>Enciphering and deciphering, and a couple of ways to break these ciphers.</p>
+<details class="source">
+<summary>
+<span>Expand source code</span>
+</summary>
+<pre><code class="python">"""[Vigenère polyalphabetic substitution ciphers](https://en.wikipedia.org/wiki/Vigen%C3%A8re_cipher),
+mainly done by keyword. Also does Beaufort ciphers and Variant Beaufort
+ciphers.
+
+Enciphering and deciphering, and a couple of ways to break these ciphers.
+"""
+from enum import Enum
+from itertools import starmap, cycle
+import multiprocessing
+from szyfrow.caesar import *
+from szyfrow.support.utilities import *
+from szyfrow.support.language_models import *
+
+def vigenere_encipher(message, keyword):
+ """Vigenere encipher
+
+ >>> vigenere_encipher('hello', 'abc')
+ 'hfnlp'
+ """
+ shifts = [pos(l) for l in sanitise(keyword)]
+ pairs = zip(message, cycle(shifts))
+ return cat([caesar_encipher_letter(l, k) for l, k in pairs])
+
+def vigenere_decipher(message, keyword):
+ """Vigenere decipher
+
+ >>> vigenere_decipher('hfnlp', 'abc')
+ 'hello'
+ """
+ shifts = [pos(l) for l in sanitise(keyword)]
+ pairs = zip(message, cycle(shifts))
+ return cat([caesar_decipher_letter(l, k) for l, k in pairs])
+
+
+def beaufort_encipher(message, keyword):
+ """Beaufort encipher. A symmetrical cipher, so enciphering and deciphering
+ follow the same procedure.
+
+ >>> beaufort_encipher('inhisjournaldatedtheidesofoctober', 'arcanaimperii')
+ 'sevsvrusyrrxfayyxuteemazudmpjmmwr'
+ """
+ shifts = [pos(l) for l in sanitise(keyword)]
+ pairs = zip(message, cycle(shifts))
+ return cat([unpos(k - pos(l)) for l, k in pairs])
+
+beaufort_decipher = beaufort_encipher
+
+beaufort_variant_encipher=vigenere_decipher
+beaufort_variant_decipher=vigenere_encipher
+
+
+def index_of_coincidence_scan(text, max_key_length=20):
+ """Finds the index of coincidence of the text, using different chunk sizes."""
+ stext = sanitise(text)
+ iocs = {}
+ for i in range(1, max_key_length + 1):
+ splits = every_nth(stext, i)
+ mean_ioc = sum(index_of_coincidence(s) for s in splits) / i
+ iocs[i] = mean_ioc
+ return iocs
+
+def vigenere_keyword_break(message, wordlist=keywords, fitness=Pletters,
+ chunksize=500):
+ """Breaks a vigenere cipher using a dictionary and frequency analysis.
+
+ >>> vigenere_keyword_break(vigenere_encipher(sanitise('this is a test ' \
+ 'message for the vigenere decipherment'), 'cat'), \
+ wordlist=['cat', 'elephant', 'kangaroo']) # doctest: +ELLIPSIS
+ ('cat', -52.9472712...)
+ """
+ with multiprocessing.Pool() as pool:
+ helper_args = [(message, word, fitness)
+ for word in wordlist]
+ # Gotcha: the helper function here needs to be defined at the top level
+ # (limitation of Pool.starmap)
+ breaks = pool.starmap(vigenere_keyword_break_worker, helper_args,
+ chunksize)
+ return max(breaks, key=lambda k: k[1])
+
+def vigenere_keyword_break_worker(message, keyword, fitness):
+ plaintext = vigenere_decipher(message, keyword)
+ fit = fitness(plaintext)
+ return keyword, fit
+
+
+def vigenere_frequency_break(message, max_key_length=20, fitness=Pletters):
+ """Breaks a Vigenere cipher with frequency analysis
+
+ >>> vigenere_frequency_break(vigenere_encipher(sanitise("It is time to " \
+ "run. She is ready and so am I. I stole Daniel's pocketbook this " \
+ "afternoon when he left his jacket hanging on the easel in the " \
+ "attic. I jump every time I hear a footstep on the stairs, " \
+ "certain that the theft has been discovered and that I will " \
+ "be caught. The SS officer visits less often now that he is " \
+ "sure"), 'florence')) # doctest: +ELLIPSIS
+ ('florence', -307.5473096...)
+ """
+ def worker(message, key_length, fitness):
+ splits = every_nth(sanitised_message, key_length)
+ key = cat([unpos(caesar_break(s)[0]) for s in splits])
+ plaintext = vigenere_decipher(message, key)
+ fit = fitness(plaintext)
+ return key, fit
+ sanitised_message = sanitise(message)
+ results = starmap(worker, [(sanitised_message, i, fitness)
+ for i in range(1, max_key_length+1)])
+ return max(results, key=lambda k: k[1])
+
+
+def beaufort_sub_break(message, fitness=Pletters):
+ """Breaks one chunk of a Beaufort cipher with frequency analysis
+
+ >>> beaufort_sub_break('samwpplggnnmmyaazgympjapopnwiywwomwspgpjmefwmawx' \
+ 'jafjhxwwwdigxshnlywiamhyshtasxptwueahhytjwsn') # doctest: +ELLIPSIS
+ (0, -117.4492...)
+ >>> beaufort_sub_break('eyprzjjzznxymrygryjqmqhznjrjjapenejznawngnnezgza' \
+ 'dgndknaogpdjneadadazlhkhxkryevrronrmdjnndjlo') # doctest: +ELLIPSIS
+ (17, -114.9598...)
+ """
+ best_shift = 0
+ best_fit = float('-inf')
+ for key in range(26):
+ plaintext = [unpos(key - pos(l)) for l in message]
+ fit = fitness(plaintext)
+ if fit > best_fit:
+ best_fit = fit
+ best_key = key
+ return best_key, best_fit
+
+
+def beaufort_frequency_break(message, max_key_length=20, fitness=Pletters):
+ """Breaks a Beaufort cipher with frequency analysis
+
+ >>> beaufort_frequency_break(beaufort_encipher(sanitise("It is time to " \
+ "run. She is ready and so am I. I stole Daniel's pocketbook this " \
+ "afternoon when he left his jacket hanging on the easel in the " \
+ "attic. I jump every time I hear a footstep on the stairs, " \
+ "certain that the theft has been discovered and that I will " \
+ "be caught. The SS officer visits less often now " \
+ "that he is sure"), 'florence')) # doctest: +ELLIPSIS
+ ('florence', -307.5473096791...)
+ """
+ def worker(message, key_length, fitness):
+ splits = every_nth(message, key_length)
+ key = cat([unpos(beaufort_sub_break(s)[0]) for s in splits])
+ plaintext = beaufort_decipher(message, key)
+ fit = fitness(plaintext)
+ return key, fit
+ sanitised_message = sanitise(message)
+ results = starmap(worker, [(sanitised_message, i, fitness)
+ for i in range(1, max_key_length+1)])
+ return max(results, key=lambda k: k[1])
+
+
+def beaufort_variant_frequency_break(message, max_key_length=20, fitness=Pletters):
+ """Breaks a Beaufort cipher with frequency analysis
+
+ >>> beaufort_variant_frequency_break(beaufort_variant_encipher(sanitise("It is time to " \
+ "run. She is ready and so am I. I stole Daniel's pocketbook this " \
+ "afternoon when he left his jacket hanging on the easel in the " \
+ "attic. I jump every time I hear a footstep on the stairs, " \
+ "certain that the theft has been discovered and that I will " \
+ "be caught. The SS officer visits less often now " \
+ "that he is sure"), 'florence')) # doctest: +ELLIPSIS
+ ('florence', -307.5473096791...)
+ """
+ def worker(message, key_length, fitness):
+ splits = every_nth(sanitised_message, key_length)
+ key = cat([unpos(-caesar_break(s)[0]) for s in splits])
+ plaintext = beaufort_variant_decipher(message, key)
+ fit = fitness(plaintext)
+ return key, fit
+ sanitised_message = sanitise(message)
+ results = starmap(worker, [(sanitised_message, i, fitness)
+ for i in range(1, max_key_length+1)])
+ return max(results, key=lambda k: k[1])
+
+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.vigenere.beaufort_decipher"><code class="name flex">
+<span>def <span class="ident">beaufort_decipher</span></span>(<span>message, keyword)</span>
+</code></dt>
+<dd>
+<div class="desc"><p>Beaufort encipher. A symmetrical cipher, so enciphering and deciphering
+follow the same procedure.</p>
+<pre><code class="language-python-repl">>>> beaufort_encipher('inhisjournaldatedtheidesofoctober', 'arcanaimperii')
+'sevsvrusyrrxfayyxuteemazudmpjmmwr'
+</code></pre></div>
+<details class="source">
+<summary>
+<span>Expand source code</span>
+</summary>
+<pre><code class="python">def beaufort_encipher(message, keyword):
+ """Beaufort encipher. A symmetrical cipher, so enciphering and deciphering
+ follow the same procedure.
+
+ >>> beaufort_encipher('inhisjournaldatedtheidesofoctober', 'arcanaimperii')
+ 'sevsvrusyrrxfayyxuteemazudmpjmmwr'
+ """
+ shifts = [pos(l) for l in sanitise(keyword)]
+ pairs = zip(message, cycle(shifts))
+ return cat([unpos(k - pos(l)) for l, k in pairs])</code></pre>
+</details>
+</dd>
+<dt id="szyfrow.vigenere.beaufort_encipher"><code class="name flex">
+<span>def <span class="ident">beaufort_encipher</span></span>(<span>message, keyword)</span>
+</code></dt>
+<dd>
+<div class="desc"><p>Beaufort encipher. A symmetrical cipher, so enciphering and deciphering
+follow the same procedure.</p>
+<pre><code class="language-python-repl">>>> beaufort_encipher('inhisjournaldatedtheidesofoctober', 'arcanaimperii')
+'sevsvrusyrrxfayyxuteemazudmpjmmwr'
+</code></pre></div>
+<details class="source">
+<summary>
+<span>Expand source code</span>
+</summary>
+<pre><code class="python">def beaufort_encipher(message, keyword):
+ """Beaufort encipher. A symmetrical cipher, so enciphering and deciphering
+ follow the same procedure.
+
+ >>> beaufort_encipher('inhisjournaldatedtheidesofoctober', 'arcanaimperii')
+ 'sevsvrusyrrxfayyxuteemazudmpjmmwr'
+ """
+ shifts = [pos(l) for l in sanitise(keyword)]
+ pairs = zip(message, cycle(shifts))
+ return cat([unpos(k - pos(l)) for l, k in pairs])</code></pre>
+</details>
+</dd>
+<dt id="szyfrow.vigenere.beaufort_frequency_break"><code class="name flex">
+<span>def <span class="ident">beaufort_frequency_break</span></span>(<span>message, max_key_length=20, fitness=<function Pletters>)</span>
+</code></dt>
+<dd>
+<div class="desc"><p>Breaks a Beaufort cipher with frequency analysis</p>
+<pre><code class="language-python-repl">>>> beaufort_frequency_break(beaufort_encipher(sanitise("It is time to " "run. She is ready and so am I. I stole Daniel's pocketbook this " "afternoon when he left his jacket hanging on the easel in the " "attic. I jump every time I hear a footstep on the stairs, " "certain that the theft has been discovered and that I will " "be caught. The SS officer visits less often now " "that he is sure"), 'florence')) # doctest: +ELLIPSIS
+('florence', -307.5473096791...)
+</code></pre></div>
+<details class="source">
+<summary>
+<span>Expand source code</span>
+</summary>
+<pre><code class="python">def beaufort_frequency_break(message, max_key_length=20, fitness=Pletters):
+ """Breaks a Beaufort cipher with frequency analysis
+
+ >>> beaufort_frequency_break(beaufort_encipher(sanitise("It is time to " \
+ "run. She is ready and so am I. I stole Daniel's pocketbook this " \
+ "afternoon when he left his jacket hanging on the easel in the " \
+ "attic. I jump every time I hear a footstep on the stairs, " \
+ "certain that the theft has been discovered and that I will " \
+ "be caught. The SS officer visits less often now " \
+ "that he is sure"), 'florence')) # doctest: +ELLIPSIS
+ ('florence', -307.5473096791...)
+ """
+ def worker(message, key_length, fitness):
+ splits = every_nth(message, key_length)
+ key = cat([unpos(beaufort_sub_break(s)[0]) for s in splits])
+ plaintext = beaufort_decipher(message, key)
+ fit = fitness(plaintext)
+ return key, fit
+ sanitised_message = sanitise(message)
+ results = starmap(worker, [(sanitised_message, i, fitness)
+ for i in range(1, max_key_length+1)])
+ return max(results, key=lambda k: k[1]) </code></pre>
+</details>
+</dd>
+<dt id="szyfrow.vigenere.beaufort_sub_break"><code class="name flex">
+<span>def <span class="ident">beaufort_sub_break</span></span>(<span>message, fitness=<function Pletters>)</span>
+</code></dt>
+<dd>
+<div class="desc"><p>Breaks one chunk of a Beaufort cipher with frequency analysis</p>
+<pre><code class="language-python-repl">>>> beaufort_sub_break('samwpplggnnmmyaazgympjapopnwiywwomwspgpjmefwmawx' 'jafjhxwwwdigxshnlywiamhyshtasxptwueahhytjwsn') # doctest: +ELLIPSIS
+(0, -117.4492...)
+>>> beaufort_sub_break('eyprzjjzznxymrygryjqmqhznjrjjapenejznawngnnezgza' 'dgndknaogpdjneadadazlhkhxkryevrronrmdjnndjlo') # doctest: +ELLIPSIS
+(17, -114.9598...)
+</code></pre></div>
+<details class="source">
+<summary>
+<span>Expand source code</span>
+</summary>
+<pre><code class="python">def beaufort_sub_break(message, fitness=Pletters):
+ """Breaks one chunk of a Beaufort cipher with frequency analysis
+
+ >>> beaufort_sub_break('samwpplggnnmmyaazgympjapopnwiywwomwspgpjmefwmawx' \
+ 'jafjhxwwwdigxshnlywiamhyshtasxptwueahhytjwsn') # doctest: +ELLIPSIS
+ (0, -117.4492...)
+ >>> beaufort_sub_break('eyprzjjzznxymrygryjqmqhznjrjjapenejznawngnnezgza' \
+ 'dgndknaogpdjneadadazlhkhxkryevrronrmdjnndjlo') # doctest: +ELLIPSIS
+ (17, -114.9598...)
+ """
+ best_shift = 0
+ best_fit = float('-inf')
+ for key in range(26):
+ plaintext = [unpos(key - pos(l)) for l in message]
+ fit = fitness(plaintext)
+ if fit > best_fit:
+ best_fit = fit
+ best_key = key
+ return best_key, best_fit</code></pre>
+</details>
+</dd>
+<dt id="szyfrow.vigenere.beaufort_variant_decipher"><code class="name flex">
+<span>def <span class="ident">beaufort_variant_decipher</span></span>(<span>message, keyword)</span>
+</code></dt>
+<dd>
+<div class="desc"><p>Vigenere encipher</p>
+<pre><code class="language-python-repl">>>> vigenere_encipher('hello', 'abc')
+'hfnlp'
+</code></pre></div>
+<details class="source">
+<summary>
+<span>Expand source code</span>
+</summary>
+<pre><code class="python">def vigenere_encipher(message, keyword):
+ """Vigenere encipher
+
+ >>> vigenere_encipher('hello', 'abc')
+ 'hfnlp'
+ """
+ shifts = [pos(l) for l in sanitise(keyword)]
+ pairs = zip(message, cycle(shifts))
+ return cat([caesar_encipher_letter(l, k) for l, k in pairs])</code></pre>
+</details>
+</dd>
+<dt id="szyfrow.vigenere.beaufort_variant_encipher"><code class="name flex">
+<span>def <span class="ident">beaufort_variant_encipher</span></span>(<span>message, keyword)</span>
+</code></dt>
+<dd>
+<div class="desc"><p>Vigenere decipher</p>
+<pre><code class="language-python-repl">>>> vigenere_decipher('hfnlp', 'abc')
+'hello'
+</code></pre></div>
+<details class="source">
+<summary>
+<span>Expand source code</span>
+</summary>
+<pre><code class="python">def vigenere_decipher(message, keyword):
+ """Vigenere decipher
+
+ >>> vigenere_decipher('hfnlp', 'abc')
+ 'hello'
+ """
+ shifts = [pos(l) for l in sanitise(keyword)]
+ pairs = zip(message, cycle(shifts))
+ return cat([caesar_decipher_letter(l, k) for l, k in pairs])</code></pre>
+</details>
+</dd>
+<dt id="szyfrow.vigenere.beaufort_variant_frequency_break"><code class="name flex">
+<span>def <span class="ident">beaufort_variant_frequency_break</span></span>(<span>message, max_key_length=20, fitness=<function Pletters>)</span>
+</code></dt>
+<dd>
+<div class="desc"><p>Breaks a Beaufort cipher with frequency analysis</p>
+<pre><code class="language-python-repl">>>> beaufort_variant_frequency_break(beaufort_variant_encipher(sanitise("It is time to " "run. She is ready and so am I. I stole Daniel's pocketbook this " "afternoon when he left his jacket hanging on the easel in the " "attic. I jump every time I hear a footstep on the stairs, " "certain that the theft has been discovered and that I will " "be caught. The SS officer visits less often now " "that he is sure"), 'florence')) # doctest: +ELLIPSIS
+('florence', -307.5473096791...)
+</code></pre></div>
+<details class="source">
+<summary>
+<span>Expand source code</span>
+</summary>
+<pre><code class="python">def beaufort_variant_frequency_break(message, max_key_length=20, fitness=Pletters):
+ """Breaks a Beaufort cipher with frequency analysis
+
+ >>> beaufort_variant_frequency_break(beaufort_variant_encipher(sanitise("It is time to " \
+ "run. She is ready and so am I. I stole Daniel's pocketbook this " \
+ "afternoon when he left his jacket hanging on the easel in the " \
+ "attic. I jump every time I hear a footstep on the stairs, " \
+ "certain that the theft has been discovered and that I will " \
+ "be caught. The SS officer visits less often now " \
+ "that he is sure"), 'florence')) # doctest: +ELLIPSIS
+ ('florence', -307.5473096791...)
+ """
+ def worker(message, key_length, fitness):
+ splits = every_nth(sanitised_message, key_length)
+ key = cat([unpos(-caesar_break(s)[0]) for s in splits])
+ plaintext = beaufort_variant_decipher(message, key)
+ fit = fitness(plaintext)
+ return key, fit
+ sanitised_message = sanitise(message)
+ results = starmap(worker, [(sanitised_message, i, fitness)
+ for i in range(1, max_key_length+1)])
+ return max(results, key=lambda k: k[1])</code></pre>
+</details>
+</dd>
+<dt id="szyfrow.vigenere.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.vigenere.index_of_coincidence_scan"><code class="name flex">
+<span>def <span class="ident">index_of_coincidence_scan</span></span>(<span>text, max_key_length=20)</span>
+</code></dt>
+<dd>
+<div class="desc"><p>Finds the index of coincidence of the text, using different chunk sizes.</p></div>
+<details class="source">
+<summary>
+<span>Expand source code</span>
+</summary>
+<pre><code class="python">def index_of_coincidence_scan(text, max_key_length=20):
+ """Finds the index of coincidence of the text, using different chunk sizes."""
+ stext = sanitise(text)
+ iocs = {}
+ for i in range(1, max_key_length + 1):
+ splits = every_nth(stext, i)
+ mean_ioc = sum(index_of_coincidence(s) for s in splits) / i
+ iocs[i] = mean_ioc
+ return iocs</code></pre>
+</details>
+</dd>
+<dt id="szyfrow.vigenere.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.vigenere.vigenere_decipher"><code class="name flex">
+<span>def <span class="ident">vigenere_decipher</span></span>(<span>message, keyword)</span>
+</code></dt>
+<dd>
+<div class="desc"><p>Vigenere decipher</p>
+<pre><code class="language-python-repl">>>> vigenere_decipher('hfnlp', 'abc')
+'hello'
+</code></pre></div>
+<details class="source">
+<summary>
+<span>Expand source code</span>
+</summary>
+<pre><code class="python">def vigenere_decipher(message, keyword):
+ """Vigenere decipher
+
+ >>> vigenere_decipher('hfnlp', 'abc')
+ 'hello'
+ """
+ shifts = [pos(l) for l in sanitise(keyword)]
+ pairs = zip(message, cycle(shifts))
+ return cat([caesar_decipher_letter(l, k) for l, k in pairs])</code></pre>
+</details>
+</dd>
+<dt id="szyfrow.vigenere.vigenere_encipher"><code class="name flex">
+<span>def <span class="ident">vigenere_encipher</span></span>(<span>message, keyword)</span>
+</code></dt>
+<dd>
+<div class="desc"><p>Vigenere encipher</p>
+<pre><code class="language-python-repl">>>> vigenere_encipher('hello', 'abc')
+'hfnlp'
+</code></pre></div>
+<details class="source">
+<summary>
+<span>Expand source code</span>
+</summary>
+<pre><code class="python">def vigenere_encipher(message, keyword):
+ """Vigenere encipher
+
+ >>> vigenere_encipher('hello', 'abc')
+ 'hfnlp'
+ """
+ shifts = [pos(l) for l in sanitise(keyword)]
+ pairs = zip(message, cycle(shifts))
+ return cat([caesar_encipher_letter(l, k) for l, k in pairs])</code></pre>
+</details>
+</dd>
+<dt id="szyfrow.vigenere.vigenere_frequency_break"><code class="name flex">
+<span>def <span class="ident">vigenere_frequency_break</span></span>(<span>message, max_key_length=20, fitness=<function Pletters>)</span>
+</code></dt>
+<dd>
+<div class="desc"><p>Breaks a Vigenere cipher with frequency analysis</p>
+<pre><code class="language-python-repl">>>> vigenere_frequency_break(vigenere_encipher(sanitise("It is time to " "run. She is ready and so am I. I stole Daniel's pocketbook this " "afternoon when he left his jacket hanging on the easel in the " "attic. I jump every time I hear a footstep on the stairs, " "certain that the theft has been discovered and that I will " "be caught. The SS officer visits less often now that he is " "sure"), 'florence')) # doctest: +ELLIPSIS
+('florence', -307.5473096...)
+</code></pre></div>
+<details class="source">
+<summary>
+<span>Expand source code</span>
+</summary>
+<pre><code class="python">def vigenere_frequency_break(message, max_key_length=20, fitness=Pletters):
+ """Breaks a Vigenere cipher with frequency analysis
+
+ >>> vigenere_frequency_break(vigenere_encipher(sanitise("It is time to " \
+ "run. She is ready and so am I. I stole Daniel's pocketbook this " \
+ "afternoon when he left his jacket hanging on the easel in the " \
+ "attic. I jump every time I hear a footstep on the stairs, " \
+ "certain that the theft has been discovered and that I will " \
+ "be caught. The SS officer visits less often now that he is " \
+ "sure"), 'florence')) # doctest: +ELLIPSIS
+ ('florence', -307.5473096...)
+ """
+ def worker(message, key_length, fitness):
+ splits = every_nth(sanitised_message, key_length)
+ key = cat([unpos(caesar_break(s)[0]) for s in splits])
+ plaintext = vigenere_decipher(message, key)
+ fit = fitness(plaintext)
+ return key, fit
+ sanitised_message = sanitise(message)
+ results = starmap(worker, [(sanitised_message, i, fitness)
+ for i in range(1, max_key_length+1)])
+ return max(results, key=lambda k: k[1])</code></pre>
+</details>
+</dd>
+<dt id="szyfrow.vigenere.vigenere_keyword_break"><code class="name flex">
+<span>def <span class="ident">vigenere_keyword_break</span></span>(<span>message, wordlist=['a', 'b', 'c', 'd', 'e', 'f', 'g', 'h', 'i', 'j', 'k', 'l', 'm', 'n', 'o', 'p', 'q', 'r', 's', 't', 'u', 'v', 'w', 'x', 'y', 'z', 'ac', 'ad', 'ag', 'ah', 'ak', 'al', 'am', 'an', 'ap', 'ar', 'as', 'at', 'au', 'av', 'ax', 'ay', 'az', 'ba', 'be', 'bi', 'bk', 'bp', 'br', 'bs', 'by', 'ca', 'cb', 'cd', 'cf', 'ci', 'cl', 'cm', 'co', 'cr', 'cs', 'ct', 'cu', 'cz', 'db', 'dc', 'de', 'di', 'do', 'dr', 'ds', 'du', 'ed', 'eg', 'eh', 'el', 'em', 'en', 'er', 'es', 'et', 'eu', 'ex', 'fa', 'fe', 'fl', 'fm', 'fr', 'fs', 'ft', 'ga', 'gd', 'ge', 'gm', 'go', 'gs', 'gu', 'ha', 'he', 'hf', 'hg', 'hi', 'hm', 'ho', 'hs', 'hz', 'ia', 'id', 'ie', 'if', 'ii', 'il', 'im', 'in', 'io', 'iq', 'ir', 'is', 'it', 'iv', 'ix', 'jo', 'jr', 'js', 'kc', 'kr', 'ks', 'ku', 'kw', 'ky', 'la', 'le', 'li', 'ln', 'lo', 'lr', 'ls', 'lt', 'lu', 'ma', 'mb', 'md', 'me', 'mg', 'mi', 'mn', 'mo', 'mr', 'ms', 'mt', 'mu', 'my', 'na', 'nb', 'nc', 'nd', 'ne', 'nh', 'ni', 'nj', 'nm', 'no', 'np', 'ns', 'nu', 'nv', 'nw', 'ny', 'ob', 'of', 'oh', 'ok', 'on', 'or', 'os', 'ow', 'ox', 'oz', 'pa', 'pb', 'pd', 'pe', 'ph', 'pi', 'pl', 'pm', 'po', 'pr', 'ps', 'pt', 'pu', 'qs', 'ra', 'rb', 'rd', 're', 'rh', 'ri', 'rn', 'rs', 'ru', 'rx', 'sa', 'sb', 'sc', 'sd', 'se', 'sh', 'si', 'sm', 'sn', 'so', 'sq', 'sr', 'ss', 'st', 'sw', 'ta', 'tb', 'tc', 'th', 'ti', 'tl', 'tm', 'tn', 'to', 'ts', 'tv', 'tx', 'ty', 'uh', 'uk', 'um', 'un', 'up', 'ur', 'us', 'ut', 'va', 'vi', 'vs', 'vt', 'wa', 'we', 'wi', 'wm', 'ws', 'wu', 'wv', 'wy', 'xe', 'xi', 'xs', 'yb', 'ye', 'yo', 'ys', 'zn', 'zr', 'zs', 'aaa', 'aas', 'aau', 'aba', 'abb', 'abc', 'abe', 'abo', 'abs', 'ace', 'acm', 'acs', 'act', 'ada', 'add', 'ado', 'ads', 'adz', 'aft', 'age', 'ago', 'ags', 'aha', 'aid', 'ail', 'aim', 'air', 'ais', 'ala', 'alb', 'ale', 'ali', 'all', 'alp', 'als', 'ama', 'ami', 'amp', 'ams', 'amy', 'ana', 'and', 'ani', 'ann', 'ant', 'any', 'aol', 'ape', 'apr', 'aps', 'apt', 'ara', 'arc', 'are', 'ark', 'arm', 'ars', 'art', 'ash', 'ask', 'asp', 'ass', 'ate', 'ats', 'att', 'aug', 'auk', 'aus', 'ava', 'ave', 'avs', 'awe', 'awl', 'awn', 'axe', 'axs', 'aye', 'ays', 'azs', 'baa', 'bad', 'bag', 'bah', 'bam', 'ban', 'bar', 'bas', 'bat', 'bay', 'bbs', 'bcs', 'bed', 'bee', 'beg', 'bel', 'ben', 'bes', 'bet', 'bey', 'bib', 'bic', 'bid', 'big', 'bin', 'bis', 'bit', 'biz', 'bks', 'blu', 'bms', 'bmw', 'boa', 'bob', 'bog', 'bon', 'boo', 'bop', 'bow', 'box', 'boy', 'bra', 'brr', 'brs', 'bss', 'btl', 'btu', 'bub', 'bud', 'bug', 'bum', 'bun', 'bur', 'bus', 'but', 'buy', 'bye', 'bys', 'cab', 'cad', 'caf', 'cal', 'cam', 'can', 'cap', 'car', 'cas', 'cat', 'caw', 'cbs', 'cdc', 'cdr', 'cds', 'ceq', 'cfs', 'che', 'chi', 'cia', 'cid', 'cit', 'cls', 'cms', 'cob', 'cod', 'cog', 'col', 'com', 'con', 'coo', 'cop', 'cos', 'cot', 'cow', 'cox', 'coy', 'cpa', 'cpu', 'crs', 'crt', 'cry', 'cts', 'cub', 'cud', 'cue', 'cup', 'cur', 'cus', 'cut', 'dab', 'dad', 'dam', 'dan', 'dar', 'das', 'day', 'dcs', 'dds', 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'transformation', 'transgressions', 'transitiveness', 'transliterated', 'transliterates', 'transmigrating', 'transmigration', 'transmutations', 'transnationals', 'transparencies', 'transpirations', 'transportation', 'transpositions', 'transshipments', 'triangulations', 'troubleshooted', 'troubleshooter', 'trustworthiest', 'tyrannosauruss', 'ultrasonically', 'ultrastructure', 'unacknowledged', 'unaffectedness', 'unalienability', 'unappreciative', 'unapproachable', 'unattractively', 'unavailability', 'uncompromising', 'unconscionable', 'unconscionably', 'uncontaminated', 'uncontrollable', 'uncontrollably', 'unconventional', 'unconvincingly', 'uncorroborated', 'undecipherable', 'undecomposable', 'undefinability', 'underachievers', 'underachieving', 'undercarriages', 'underclassmans', 'underclothings', 'underdeveloped', 'underestimated', 'underestimates', 'undergraduates', 'undernourished', 'undersecretary', 'understandable', 'understandably', 'understandings', 'understatement', 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'washingtonians', 'waterproofings', 'weatherproofed', 'weightlessness', 'weightliftings', 'whippersnapper', 'wholeheartedly', 'wholesomenesss', 'wollstonecraft', 'woolgatherings', 'worcestershire', 'worthlessnesss', 'worthwhileness', 'yoknapatawphas', 'zoroastrianism', 'zubenelgenubis', 'zubeneschamali', 'acclimatisation', 'acclimatization', 'accomplishments', 'accountabilitys', 'acknowledgeable', 'acknowledgement', 'acknowledgments', 'acquisitiveness', 'administrations', 'aerodynamically', 'aggrandisements', 'aggrandizements', 'aggressivenesss', 'agriculturalist', 'algorithmically', 'ambassadorships', 'americanisation', 'americanization', 'anaesthesiology', 'anesthesiologys', 'anthropocentric', 'anthropological', 'anthropologists', 'anthropomorphic', 'anticoagulation', 'anticompetitive', 'antidepressants', 'antiperspirants', 'apprenticeships', 'approachability', 'appropriateness', 'architecturally', 'articulatenesss', 'artificialities', 'astrophysicists', 'atherosclerosis', 'atmospherically', 'attractivenesss', 'auspiciousnesss', 'authentications', 'authoritatively', 'autobiographies', 'autocorrelation', 'autosuggestible', 'autotransformer', 'axiomatizations', 'bacteriological', 'bacteriologists', 'beautifications', 'bibliographical', 'blasphemousness', 'bloodthirstiest', 'boisterousnesss', 'breathlessnesss', 'burglarproofing', 'capitalisations', 'capitalizations', 'capriciousnesss', 'cardiopulmonary', 'categorisations', 'categorizations', 'centralisations', 'centralizations', 'chappaquiddicks', 'characteristics', 'characterizable', 'charlottesville', 'chloroplatinate', 'chronologically', 'cinematographer', 'cinematographys', 'circumferential', 'circumlocutions', 'circumnavigated', 'circumnavigates', 'circumscription', 'circumspections', 'classifications', 'claustrophobias', 'combinatorially', 'combustibilitys', 'commercialising', 'commercializing', 'compassionately', 'compatibilities', 'competitiveness', 'complementarity', 'complementation', 'comprehensively', 'compulsivenesss', 'computationally', 'computerisation', 'computerization', 'conceptualising', 'conceptualizing', 'concessionaires', 'condescendingly', 'confectioneries', 'confidentiality', 'confrontational', 'conglomerations', 'congratulations', 'congressionally', 'conjunctivitiss', 'conscientiously', 'consciousnesses', 'conservationist', 'constantinoples', 'constitutionals', 'contemporaneous', 'contrapositives', 'controllability', 'controversially', 'conventionality', 'correspondences', 'correspondingly', 'counterargument', 'counterattacked', 'counterbalanced', 'counterbalances', 'counterclaiming', 'countercultures', 'counterexamples', 'countermeasures', 'counterpointing', 'counterproposal', 'crystallisation', 'crystallization', 'crystallography', 'czechoslovakian', 'czechoslovakias', 'daguerreotyping', 'decolonisations', 'decolonizations', 'decommissioning', 'decomposability', 'deconstructions', 'decontaminating', 'decontamination', 'decriminalising', 'decriminalizing', 'dehumanisations', 'dehumanizations', 'demagnetisation', 'demagnetization', 'demobilisations', 'demobilizations', 'democratisation', 'democratization', 'demographically', 'demonstratively', 'demoralisations', 'demoralizations', 'departmentalise', 'departmentalize', 'desensitisation', 'desensitization', 'destructiveness', 'detoxifications', 'differentiating', 'differentiation', 'differentiators', 'disadvantageous', 'disambiguations', 'disappointingly', 'disappointments', 'disapprobations', 'disarrangements', 'disciplinarians', 'discolourations', 'discombobulated', 'discombobulates', 'disconcertingly', 'discontentments', 'discontinuances', 'discontinuation', 'discontinuities', 'discountenanced', 'discountenances', 'discouragements', 'discriminations', 'disembarkations', 'disenchantments', 'disenfranchised', 'disenfranchises', 'disentanglement', 'disestablishing', 'disillusionment', 'disinclinations', 'disinformations', 'disintegrations', 'disinterestedly', 'disorderlinesss', 'disorganisation', 'disorganization', 'disorientations', 'dispassionately', 'disrespectfully', 'dissatisfaction', 'dissimilarities', 'distinctiveness', 'distinguishable', 'diversification', 'draughtsmanship', 'egalitarianisms', 'electrification', 'electrodynamics', 'electromagnetic', 'electrophoresis', 'emulsifications', 'enfranchisement', 'entrepreneurial', 'environmentally', 'epistemological', 'euphemistically', 'excommunicating', 'excommunication', 'exemplification', 'existentialisms', 'existentialists', 'experimentation', 'exponentiations', 'expressivenesss', 'extracurricular', 'extralinguistic', 'extraordinarily', 'familiarisation', 'familiarization', 'farsightednesss', 'fastidiousnesss', 'featherbeddings', 'finnbogadottirs', 'flibbertigibbet', 'forthrightnesss', 'fraternisations', 'fraternizations', 'functionalities', 'fundamentalisms', 'fundamentalists', 'generalisations', 'generalizations', 'gentrifications', 'gerrymanderings', 'grandiloquences', 'gregariousnesss', 'groundbreakings', 'halfheartedness', 'hallucinogenics', 'hardheadednesss', 'hardheartedness', 'harmoniousnesss', 'heterogeneously', 'heterosexuality', 'heterostructure', 'homogeneousness', 'homogenisations', 'homogenizations', 'horticulturists', 'hospitalisation', 'hospitalization', 'huitzilopotchli', 'humanitarianism', 'humourlessnesss', 'hypercritically', 'hyperventilated', 'hyperventilates', 'identifications', 'illustriousness', 'immaculatenesss', 'immobilisations', 'immobilizations', 'impecuniousness', 'impenetrability', 'implausibilitys', 'implementations', 'impossibilities', 'impoverishments', 'impracticalitys', 'impregnabilitys', 'impressionistic', 'impressivenesss', 'improbabilities', 'improvisational', 'inaccessibility', 'inadmissibility', 'inappropriately', 'incommensurable', 'incompatibility', 'incomprehension', 'inconsequential', 'inconsiderately', 'inconsistencies', 'inconspicuously', 'inconveniencing', 'incorrigibility', 'indecisivenesss', 'indemnification', 'indeterminacies', 'indeterminately', 'indistinctnesss', 'individualising', 'individualistic', 'individualizing', 'indivisibilitys', 'indoctrinations', 'industrialising', 'industrializing', 'industriousness', 'ineffectiveness', 'inevitabilities', 'infectiousnesss', 'infinitesimally', 'infrastructures', 'inhomogeneities', 'initializations', 'inquisitiveness', 'inseparabilitys', 'insignificances', 'insignificantly', 'instantaneously', 'institutionally', 'instrumentalist', 'instrumentality', 'instrumentation', 'insubordination', 'insurrectionist', 'intellectualise', 'intellectualism', 'intellectualize', 'intelligentsias', 'intelligibility', 'intensification', 'interchangeable', 'interchangeably', 'intercollegiate', 'interconnecting', 'interconnection', 'interdependence', 'interdependency', 'interferometric', 'internationales', 'internationally', 'interpretations', 'interrogatories', 'interscholastic', 'intractabilitys', 'intradepartment', 'invulnerability', 'jurisprudential', 'kindergarteners', 'lackadaisically', 'lasciviousnesss', 'levelheadedness', 'lexicographical', 'liberalisations', 'liberalizations', 'licentiousnesss', 'lugubriousnesss', 'maintainability', 'maneuverability', 'manoeuvrability', 'materialisation', 'materialization', 'meaninglessness', 'meritoriousness', 'metacircularity', 'meticulousnesss', 'microbiologists', 'microeconomicss', 'microprocessing', 'microprocessors', 'microprogrammed', 'microscopically', 'militarisations', 'militarizations', 'miniaturisation', 'miniaturization', 'misapplications', 'misapprehending', 'misapprehension', 'misappropriated', 'misappropriates', 'miscalculations', 'miscellaneously', 'mischievousness', 'misconstruction', 'misinformations', 'misinterpreting', 'misrepresenting', 'misunderstander', 'monopolisations', 'monopolizations', 'mountaineerings', 'multiplications', 'multiplicatives', 'multiprocessing', 'multiprocessors', 'multiprogrammed', 'mysteriousnesss', 'nationalisation', 'nationalization', 'naturalisations', 'naturalizations', 'nearsightedness', 'neighborlinesss', 'neighbourliness', 'neocolonialisms', 'neoconservative', 'netzahualcoyotl', 'neurophysiology', 'neutralisations', 'neutralizations', 'newspaperwomans', 'nitroglycerines', 'nonconservative', 'noncooperations', 'nongovernmental', 'noninterference', 'nonintervention', 'nonprescription', 'nonprocedurally', 'nonprofessional', 'nonprogrammable', 'nontransferable', 'notwithstanding', 'nullstellensatz', 'obsequiousnesss', 'obstructionists', 'obstructiveness', 'ophthalmologist', 'overcompensated', 'overcompensates', 'overemphasising', 'overemphasizing', 'overindulgences', 'overpopulations', 'overproductions', 'oversimplifying', 'overspecialised', 'overspecialises', 'overspecialized', 'overspecializes', 'palaeontologist', 'paleontologists', 'parameterizable', 'parapsychologys', 'parasympathetic', 'parenthetically', 'parliamentarian', 'parthenogenesis', 'particularising', 'particularities', 'particularizing', 'pasteurisations', 'pasteurizations', 'pedestrianising', 'pedestrianizing', 'perceptivenesss', 'permissivenesss', 'perpendicularly', 'personalization', 'personification', 'persuasivenesss', 'pessimistically', 'phantasmagorias', 'pharmaceuticals', 'pharmacologists', 'phenomenologies', 'philanthropists', 'philosophically', 'phosphorescence', 'photojournalism', 'photojournalist', 'photosynthesiss', 'phototypesetter', 'physiologically', 'physiotherapist', 'picturesqueness', 'plainclothesman', 'plainclothesmen', 'plenipotentiary', 'polymerisations', 'polymerizations', 'polyunsaturated', 'popularisations', 'popularizations', 'possessivenesss', 'practicabilitys', 'prearrangements', 'precipitateness', 'precociousnesss', 'preconditioning', 'predestinations', 'predispositions', 'prefabrications', 'preinitializing', 'preregistration', 'presbyterianism', 'pressurisations', 'pressurizations', 'presuppositions', 'pretentiousness', 'problematically', 'procrastinating', 'procrastination', 'procrastinators', 'productivenesss', 'professionalism', 'prognosticating', 'prognostication', 'prognosticators', 'programmability', 'prohibitionists', 'proportionality', 'proportionately', 'propositionally', 'proprietorships', 'protectivenesss', 'psychoanalysing', 'psychoanalysiss', 'psychoanalyzing', 'psychologically', 'psychotherapies', 'psychotherapist', 'quadruplicating', 'quantifications', 'quasicontinuous', 'quasistationary', 'radiotelephones', 'radiotherapists', 'rationalisation', 'rationalization', 'reapportionment', 'reasonablenesss', 'rebelliousnesss', 'recapitulations', 'recognizability', 'recommendations', 'reconciliations', 'reconfiguration', 'reconnaissances', 'reconsideration', 'reconstructions', 'redistributions', 'rehabilitations', 'relentlessnesss', 'relinquishments', 'reorganisations', 'reorganizations', 'representations', 'representatives', 'reproducibility', 'resourcefulness', 'respectabilitys', 'responsibilitys', 'responsibleness', 'responsivenesss', 'retransmissions', 'retrospectively', 'revitalisations', 'revitalizations', 'revivifications', 'revolutionaries', 'revolutionising', 'revolutionizing', 'ridiculousnesss', 'rumpelstiltskin', 'sanctifications', 'sanctimoniously', 'schoolmistresss', 'schwarzeneggers', 'secularisations', 'secularizations', 'segregationists', 'semipermanently', 'sensationalisms', 'sensationalists', 'sentimentalised', 'sentimentalises', 'sentimentalisms', 'sentimentalists', 'sentimentalitys', 'sentimentalized', 'sentimentalizes', 'septuagenarians', 'sequentializing', 'servomechanisms', 'simplifications', 'slaughterhouses', 'sledgehammering', 'solidifications', 'sophistications', 'specialisations', 'specializations', 'standardisation', 'standardization', 'staphylococcuss', 'straightforward', 'straightjackets', 'straitjacketing', 'stratifications', 'stultifications', 'subcomputations', 'substantiations', 'substitutionary', 'superabundances', 'superconductors', 'superficialitys', 'superintendence', 'superintendency', 'superintendents', 'supernumeraries', 'superstitiously', 'superstructures', 'surreptitiously', 'susceptibilitys', 'syllabification', 'sympathetically', 'synchronisation', 'synchronization', 'technologically', 'telecommunicate', 'teleconferenced', 'teleconferences', 'telephotography', 'teletypesetting', 'teletypewriters', 'temperamentally', 'tempestuousness', 'tendentiousness', 'therapeutically', 'thermodynamicss', 'thoughtfulnesss', 'thoughtlessness', 'tonsillectomies', 'totalitarianism', 'traditionalists', 'transfiguration', 'transformations', 'translatability', 'transliterating', 'transliteration', 'transmigrations', 'transplantation', 'transportations', 'trichloroacetic', 'trichloroethane', 'troubleshooters', 'troubleshooting', 'trustworthiness', 'typographically', 'tyrannosauruses', 'ultracentrifuge', 'unacceptability', 'unaesthetically', 'unattainability', 'unauthenticated', 'unceremoniously', 'uncommunicative', 'uncomplimentary', 'uncomprehending', 'unconditionally', 'unconsciousness', 'uncontroversial', 'undemonstrative', 'underestimating', 'underestimation', 'underprivileged', 'undersecretarys', 'understandingly', 'understatements', 'undistinguished', 'unexceptionable', 'unfaithfulnesss', 'unfriendlinesss', 'ungratefulnesss', 'unimplementable', 'unintentionally', 'uninterestingly', 'uninterruptedly', 'unobjectionable', 'unpleasantnesss', 'unpronounceable', 'unquestioningly', 'unrealistically', 'unreconstructed', 'unrepresentable', 'unsophisticated', 'unsportsmanlike', 'unsubstantiated', 'verisimilitudes', 'vindictivenesss', 'voluptuousnesss', 'vulnerabilities', 'weatherproofing', 'weightlessnesss', 'whatchamacallit', 'whippersnappers', 'wollstonecrafts', 'wrongheadedness', 'zoroastrianisms', 'zubeneschamalis', 'acclimatisations', 'acclimatizations', 'acknowledgements', 'acquisitivenesss', 'administratively', 'agriculturalists', 'americanisations', 'americanizations', 'anaesthesiologys', 'anesthesiologist', 'antagonistically', 'anthropomorphism', 'antiredeposition', 'apprehensiveness', 'appropriatenesss', 'aristocratically', 'arteriosclerosis', 'asymptomatically', 'atherosclerosiss', 'australopithecus', 'authoritarianism', 'autobiographical', 'autofluorescence', 'bloodthirstiness', 'bureaucratically', 'canonicalization', 'cantankerousness', 'catastrophically', 'chancellorsville', 'characterisation', 'characterization', 'cinematographers', 'circumnavigating', 'circumnavigation', 'circumscriptions', 'circumstantially', 'cirmcumferential', 'comfortabilities', 'compartmentalise', 'compartmentalize', 'competitivenesss', 'computerisations', 'computerizations', 'confidentialitys', 'consequentiality', 'conservationists', 'constitutionally', 'constructibility', 'contemporariness', 'conventionalitys', 'conversationally', 'counterattacking', 'counterbalancing', 'counterclockwise', 'counterespionage', 'counterintuitive', 'crystallisations', 'crystallizations', 'crystallographer', 'crystallographic', 'czechoslovakians', 'decentralisation', 'decentralization', 'decontaminations', 'demagnetisations', 'demagnetizations', 'demilitarisation', 'demilitarization', 'democratisations', 'democratizations', 'deoxyribonucleic', 'departmentalised', 'departmentalises', 'departmentalized', 'departmentalizes', 'desensitisations', 'desensitizations', 'destructivenesss', 'diagrammatically', 'differentiations', 'discombobulating', 'discontinuations', 'discountenancing', 'disenfranchising', 'disentanglements', 'disfranchisement', 'disillusionments', 'disorganisations', 'disorganizations', 'disproportionate', 'disqualification', 'dissatisfactions', 'distinctivenesss', 'diversifications', 'draughtsmanships', 'electrifications', 'electromagnetism', 'enfranchisements', 'enthusiastically', 'environmentalism', 'environmentalist', 'excommunications', 'exemplifications', 'experimentations', 'extemporaneously', 'extraterrestrial', 'familiarisations', 'familiarizations', 'flibbertigibbets', 'gastrointestinal', 'halfheartednesss', 'hardheartednesss', 'heterosexualitys', 'hospitalisations', 'hospitalizations', 'huitzilopotchlis', 'humanitarianisms', 'hydroelectricity', 'hypersensitivity', 'hyperventilating', 'hyperventilation', 'impecuniousnesss', 'impenetrabilitys', 'imperturbability', 'implausibilities', 'inaccessibilitys', 'incompatibilitys', 'incomprehensible', 'incomprehensibly', 'incontrovertible', 'incontrovertibly', 'incorrigibilitys', 'incorruptibility', 'indemnifications', 'indiscriminately', 'indispensability', 'industriousnesss', 'ineffectivenesss', 'inextinguishable', 'inquisitivenesss', 'institutionalise', 'institutionalize', 'instrumentalists', 'instrumentalitys', 'instrumentations', 'insubordinations', 'insurrectionists', 'intellectualised', 'intellectualises', 'intellectualized', 'intellectualizes', 'intelligibilitys', 'intensifications', 'intercommunicate', 'interconnections', 'intercontinental', 'interdependences', 'internationalise', 'internationalism', 'internationality', 'internationalize', 'invulnerabilitys', 'irresponsibility', 'levelheadednesss', 'lightheartedness', 'maneuverabilitys', 'manoeuvrabilitys', 'materialisations', 'materializations', 'melodramatically', 'metamathematical', 'methodologically', 'microinstruction', 'microprogramming', 'miniaturisations', 'miniaturizations', 'misapprehensions', 'misappropriating', 'misappropriation', 'mischievousnesss', 'misconstructions', 'mispronunciation', 'misunderstanders', 'misunderstanding', 'multiculturalism', 'multidimensional', 'multifariousness', 'multimillionaire', 'multiprogramming', 'nationalisations', 'nationalizations', 'nearsightednesss', 'neighbourlinesss', 'netzahualcoyotls', 'neuropsychiatric', 'neurotransmitter', 'nondestructively', 'nondeterminately', 'nondeterministic', 'noninterferences', 'noninterventions', 'nonorthogonality', 'nonprofessionals', 'nonproliferation', 'obstructivenesss', 'ophthalmologists', 'organizationally', 'overcompensating', 'overcompensation', 'overenthusiastic', 'overspecialising', 'overspecializing', 'palaeontologists', 'parameterization', 'paraprofessional', 'parliamentarians', 'parthenogenesiss', 'personifications', 'phenomenological', 'phosphorescences', 'photographically', 'photojournalisms', 'photojournalists', 'phototypesetting', 'physiotherapists', 'plainclothesmans', 'plenipotentiarys', 'praiseworthiness', 'predetermination', 'preregistrations', 'presbyterianisms', 'presumptuousness', 'pretentiousnesss', 'procrastinations', 'professionalisms', 'prognostications', 'psychophysiology', 'psychotherapists', 'rambunctiousness', 'rationalisations', 'rationalizations', 'reapportionments', 'reclassification', 'reconfigurations', 'reconsiderations', 'reinterpretation', 'relativistically', 'representational', 'representatively', 'resourcefulnesss', 'responsibilities', 'rumpelstiltskins', 'schoolmistresses', 'semiprofessional', 'sentimentalising', 'sentimentalizing', 'shortsightedness', 'standardisations', 'standardizations', 'straightjacketed', 'substitutability', 'superintendences', 'superintendencys', 'syllabifications', 'synchronisations', 'synchronizations', 'teleconferencing', 'tempestuousnesss', 'tendentiousnesss', 'thoughtlessnesss', 'tintinnabulation', 'totalitarianisms', 'transcendentally', 'transconductance', 'transcontinental', 'transfigurations', 'transformational', 'transliterations', 'transplantations', 'transportability', 'troubleshootings', 'trustworthinesss', 'uncharacteristic', 'uncompromisingly', 'unconsciousnesss', 'unconstitutional', 'unconventionally', 'undersecretaries', 'undiscriminating', 'unidirectionally', 'unpredictability', 'unreasonableness', 'unrepresentative', 'unsatisfiability', 'unscrupulousness', 'weatherstripping', 'whatchamacallits', 'wrongheadednesss', 'anachronistically', 'anaesthesiologist', 'anesthesiologists', 'anthropologically', 'anthropomorphisms', 'apprehensivenesss', 'arteriosclerosiss', 'australopithecuss', 'authoritarianisms', 'authoritativeness', 'bloodthirstinesss', 'cantankerousnesss', 'chancellorsvilles', 'characterisations', 'characterizations', 'circumnavigations', 'commercialisation', 'commercialization', 'compartmentalised', 'compartmentalises', 'compartmentalized', 'compartmentalizes', 'comprehensibility', 'comprehensiveness', 'conceptualisation', 'conceptualization', 'congregationalist', 'conscientiousness', 'constitutionality', 'contemporaneously', 'contradistinction', 'contradistinguish', 'conversationalist', 'counterespionages', 'counterproductive', 'counterrevolution', 'decentralisations', 'decentralizations', 'decriminalisation', 'decriminalization', 'demilitarisations', 'demilitarizations', 'departmentalising', 'departmentalizing', 'deterministically', 'disadvantageously', 'disfranchisements', 'disinterestedness', 'disqualifications', 'electrocardiogram', 'electromagnetisms', 'environmentalisms', 'environmentalists', 'extraordinariness', 'extraterrestrials', 'heterogeneousness', 'hydroelectricitys', 'hypersensitivitys', 'hyperventilations', 'imperturbabilitys', 'inappropriateness', 'incompatibilities', 'inconsequentially', 'inconsiderateness', 'inconspicuousness', 'incorruptibilitys', 'indistinguishable', 'industrialisation', 'industrialization', 'institutionalised', 'institutionalises', 'institutionalized', 'institutionalizes', 'intellectualising', 'intellectualizing', 'intercommunicated', 'intercommunicates', 'interdepartmental', 'interdependencies', 'interdisciplinary', 'internationalised', 'internationalises', 'internationalisms', 'internationalized', 'internationalizes', 'interrelationship', 'irresponsibilitys', 'lexicographically', 'lightheartednesss', 'materialistically', 'microinstructions', 'misappropriations', 'miscellaneousness', 'misinterpretation', 'mispronunciations', 'misrepresentation', 'misunderstandings', 'multiculturalisms', 'multifariousnesss', 'multimillionaires', 'neurotransmitters', 'nondenominational', 'nonproliferations', 'overcompensations', 'parameterizations', 'paraprofessionals', 'particularisation', 'particularization', 'philanthropically', 'plenipotentiaries', 'praiseworthinesss', 'predeterminations', 'presumptuousnesss', 'probabilistically', 'psychotherapeutic', 'rambunctiousnesss', 'reinterpretations', 'reproducibilities', 'semiprofessionals', 'shortsightednesss', 'spectrophotometer', 'spectrophotometry', 'straightforwardly', 'straightjacketing', 'superconductivity', 'telecommunication', 'tintinnabulations', 'transcendentalism', 'transcendentalist', 'ultraconservative', 'uncontrollability', 'understandability', 'unidirectionality', 'unpredictabilitys', 'unreasonablenesss', 'unscrupulousnesss', 'anaesthesiologists', 'antifundamentalist', 'arteriolosclerosis', 'authoritativenesss', 'autosuggestibility', 'characteristically', 'chlorofluorocarbon', 'commercialisations', 'commercializations', 'compartmentalising', 'compartmentalizing', 'comprehensibilitys', 'comprehensivenesss', 'conceptualisations', 'conceptualizations', 'congregationalists', 'conscientiousnesss', 'consequentialities', 'constitutionalitys', 'contradistinctions', 'conversationalists', 'counterrevolutions', 'decriminalisations', 'decriminalizations', 'diethylstilbestrol', 'disenfranchisement', 'disproportionately', 'electrocardiograms', 'electrocardiograph', 'hypersensitivities', 'inconsideratenesss', 'inconspicuousnesss', 'industrialisations', 'industrializations', 'institutionalising', 'institutionalizing', 'interchangeability', 'intercommunicating', 'intercommunication', 'internationalising', 'internationalizing', 'interrelationships', 'misinterpretations', 'misrepresentations', 'oversimplification', 'particularisations', 'particularizations', 'phenomenologically', 'representationally', 'representativeness', 'spectrophotometric', 'superconductivitys', 'telecommunications', 'transcendentalisms', 'transcendentalists', 'transmogrification', 'transubstantiation', 'triphenylphosphine', 'ultraconservatives', 'anthropomorphically', 'chlorofluorocarbons', 'counterintelligence', 'disenfranchisements', 'electrocardiographs', 'incomprehensibility', 'interdenominational', 'nonrepresentational', 'oversimplifications', 'straightforwardness', 'telecommunicationss', 'transubstantiations', 'andrianampoinimerina', 'counterintelligences', 'counterrevolutionary', 'electroencephalogram', 'nondeterministically', 'uncharacteristically', 'andrianampoinimerinas', 'counterrevolutionarys', 'electroencephalograms', 'electroencephalograph', 'immunoelectrophoresis', 'counterrevolutionaries', 'electroencephalographs', 'electroencephalography', 'antidisestablishmentarianism'], fitness=<function Pletters>, chunksize=500)</span>
+</code></dt>
+<dd>
+<div class="desc"><p>Breaks a vigenere cipher using a dictionary and frequency analysis.</p>
+<pre><code class="language-python-repl">>>> vigenere_keyword_break(vigenere_encipher(sanitise('this is a test ' 'message for the vigenere decipherment'), 'cat'), wordlist=['cat', 'elephant', 'kangaroo']) # doctest: +ELLIPSIS
+('cat', -52.9472712...)
+</code></pre></div>
+<details class="source">
+<summary>
+<span>Expand source code</span>
+</summary>
+<pre><code class="python">def vigenere_keyword_break(message, wordlist=keywords, fitness=Pletters,
+ chunksize=500):
+ """Breaks a vigenere cipher using a dictionary and frequency analysis.
+
+ >>> vigenere_keyword_break(vigenere_encipher(sanitise('this is a test ' \
+ 'message for the vigenere decipherment'), 'cat'), \
+ wordlist=['cat', 'elephant', 'kangaroo']) # doctest: +ELLIPSIS
+ ('cat', -52.9472712...)
+ """
+ with multiprocessing.Pool() as pool:
+ helper_args = [(message, word, fitness)
+ for word in wordlist]
+ # Gotcha: the helper function here needs to be defined at the top level
+ # (limitation of Pool.starmap)
+ breaks = pool.starmap(vigenere_keyword_break_worker, helper_args,
+ chunksize)
+ return max(breaks, key=lambda k: k[1])</code></pre>
+</details>
+</dd>
+<dt id="szyfrow.vigenere.vigenere_keyword_break_worker"><code class="name flex">
+<span>def <span class="ident">vigenere_keyword_break_worker</span></span>(<span>message, keyword, fitness)</span>
+</code></dt>
+<dd>
+<div class="desc"></div>
+<details class="source">
+<summary>
+<span>Expand source code</span>
+</summary>
+<pre><code class="python">def vigenere_keyword_break_worker(message, keyword, fitness):
+ plaintext = vigenere_decipher(message, keyword)
+ fit = fitness(plaintext)
+ return keyword, fit</code></pre>
+</details>
+</dd>
+<dt id="szyfrow.vigenere.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.vigenere.beaufort_decipher" href="#szyfrow.vigenere.beaufort_decipher">beaufort_decipher</a></code></li>
+<li><code><a title="szyfrow.vigenere.beaufort_encipher" href="#szyfrow.vigenere.beaufort_encipher">beaufort_encipher</a></code></li>
+<li><code><a title="szyfrow.vigenere.beaufort_frequency_break" href="#szyfrow.vigenere.beaufort_frequency_break">beaufort_frequency_break</a></code></li>
+<li><code><a title="szyfrow.vigenere.beaufort_sub_break" href="#szyfrow.vigenere.beaufort_sub_break">beaufort_sub_break</a></code></li>
+<li><code><a title="szyfrow.vigenere.beaufort_variant_decipher" href="#szyfrow.vigenere.beaufort_variant_decipher">beaufort_variant_decipher</a></code></li>
+<li><code><a title="szyfrow.vigenere.beaufort_variant_encipher" href="#szyfrow.vigenere.beaufort_variant_encipher">beaufort_variant_encipher</a></code></li>
+<li><code><a title="szyfrow.vigenere.beaufort_variant_frequency_break" href="#szyfrow.vigenere.beaufort_variant_frequency_break">beaufort_variant_frequency_break</a></code></li>
+<li><code><a title="szyfrow.vigenere.cat" href="#szyfrow.vigenere.cat">cat</a></code></li>
+<li><code><a title="szyfrow.vigenere.index_of_coincidence_scan" href="#szyfrow.vigenere.index_of_coincidence_scan">index_of_coincidence_scan</a></code></li>
+<li><code><a title="szyfrow.vigenere.lcat" href="#szyfrow.vigenere.lcat">lcat</a></code></li>
+<li><code><a title="szyfrow.vigenere.vigenere_decipher" href="#szyfrow.vigenere.vigenere_decipher">vigenere_decipher</a></code></li>
+<li><code><a title="szyfrow.vigenere.vigenere_encipher" href="#szyfrow.vigenere.vigenere_encipher">vigenere_encipher</a></code></li>
+<li><code><a title="szyfrow.vigenere.vigenere_frequency_break" href="#szyfrow.vigenere.vigenere_frequency_break">vigenere_frequency_break</a></code></li>
+<li><code><a title="szyfrow.vigenere.vigenere_keyword_break" href="#szyfrow.vigenere.vigenere_keyword_break">vigenere_keyword_break</a></code></li>
+<li><code><a title="szyfrow.vigenere.vigenere_keyword_break_worker" href="#szyfrow.vigenere.vigenere_keyword_break_worker">vigenere_keyword_break_worker</a></code></li>
+<li><code><a title="szyfrow.vigenere.wcat" href="#szyfrow.vigenere.wcat">wcat</a></code></li>
+</ul>
+</li>
+</ul>
+</nav>
+</main>
+<footer id="footer">
+<p>Generated by <a href="https://pdoc3.github.io/pdoc"><cite>pdoc</cite> 0.9.2</a>.</p>
+</footer>
+</body>
+</html>
\ No newline at end of file
--- /dev/null
+{
+ "folders":
+ [
+ {
+ "path": "."
+ }
+ ]
+}
+"""Simple ciphers, enciphering, deciphering, and breaking.
+
+The ciphers implemented here are mostly ones that predate mechanical cipher
+systems. The most complex cipher is the Enigma of World War II.
+
+Each cipher is presented with functions to encipher, decipher, and
+automatically break messages with that cipher.
+
+Most of the time, messages are broken by brute-force trying each possible key
+and scoring the resulting deciphered message using a bag-of-words probability
+measure (or a bag-of-bigrams, or a bag-of-trigrams).
+
+You can find more information on the ciphers and how they are implemented in
+the [codes and ciphers area of my blog](https://work.njae.me.uk/tag/codes-and-ciphers/).
+
+Ciphers work on messages encoded with the 26 letters of the Latin alphabet,
+without accents (the letters contained in the `string.ascii_letters` constant).
+Most of the ciphers convert letters to lowercase, strip accents from letters,
+and drop all other characters (such as spaces and punctuation).
+
+`szyfrow.support.text_prettify` contains functions to make the output easier
+to read, such as automatically recovering word boundaries.
+
+The name comes from the Polish cipher bureau, the Biuro Szyfrów, who were
+breaking Enigma ciphers by hand before World War II.
+"""
\ No newline at end of file
+"""Enciphering and deciphering using the [affine cipher](https://en.wikipedia.org/wiki/Affine_cipher).
+Also attempts to break messages that use an affine cipher.
+
+The affine cipher operates one letter at a time. It converts each letter to a
+number, then enciphers that number using a multiplier and a number. The result
+is taken mod 26 and converted back into a letter.
+
+For a multiplier _m_ and adder _a_, a letter converted to number _x_ is
+enciphered as _E(x)_ = (_m_ _x_ + _a_) mod 26. Deciphering uses the modular
+inverse of _m_, _m_⁻¹, so that _D(x)_ = _m_⁻¹ (_x_ - _a_) mod 26.
+
+If `one_based` is `True`, the conversion between letters and numbers maps
+'a' → 1, 'b' → 2, … 'z'→ 26 and the `mod` function is adjusted to keep
+numbers in this range during enciphering and deciphering. If `one_based` is
+`False`, the conversion maps 'a' → 0, 'b' → 1, … 'z'→ 25 and `mod` behaves
+normally.
+"""
+
from szyfrow.support.utilities import *
from szyfrow.support.language_models import *
def affine_encipher_letter(accented_letter, multiplier=1, adder=0, one_based=True):
- """Encipher a letter, given a multiplier and adder
+ """Encipher a letter, given a multiplier and adder.
+
+ Accented version of latin letters (such as é and ö) are converted to their
+ non-accented versions before encryption.
>>> cat(affine_encipher_letter(l, 3, 5, True) \
for l in string.ascii_letters)
if letter in string.ascii_letters:
cipher_number = pos(letter)
if one_based: cipher_number += 1
- # plaintext_number = (
- # modular_division_table[multiplier]
- # [(cipher_number - adder) % 26])
plaintext_number = (
modular_division_table[multiplier, (cipher_number - adder) % 26]
)
def affine_break(message, fitness=Pletters):
- """Breaks an affine cipher using frequency analysis
+ """Breaks an affine cipher using frequency analysis.
+
+ It tries all possible combinations of multiplier, adder, and one_based,
+ scores the fitness of the text decipherd with each combination, and returns
+ the key that produces the most fit deciphered text.
>>> affine_break('lmyfu bkuusd dyfaxw claol psfaom jfasd snsfg jfaoe ls ' \
'omytd jlaxe mh jm bfmibj umis hfsul axubafkjamx. ls kffkxwsd jls ' \
+"""Enciphering and deciphering using the [Amsco cipher](http://ericbrandel.com/2016/10/09/the-amsco-cipher/).
+Also attempts to break messages that use an Amsco cipher.
+
+The Amsco cipher is a column transpositoin cipher. The plaintext is laid out,
+row by row, into columns. However, different numbers of letters are laid out
+in each cell, typically in a 1-2 pattern.
+
+It's clearer with an example. Consider we're using the keyword "perceptive",
+which turns into "perctiv". The text ""It is a truth universally
+acknowledged, that a single man in, possession of a good fortune, must be in
+want of a wife." is laid out in seven columns like this:
+
+ p e r c t i v
+ --------------------
+ i ti s at r ut h
+ un i ve r sa l ly
+ a ck n ow l ed g
+ ed t ha t as i ng
+ l em a ni n po s
+ se s si o no f ag
+ o od f or t un e
+ mu s tb e in w an
+ t of a wi f e
+
+The ciphertext is read out in columns, according to the order of the keyword.
+In this example, the "c" column is read first, then the "e" column, and so on.
+That gives the ciphertext of "atrowtnioorewi tiicktemsodsof utledipofunwe
+iunaedlseomut svenhaasiftba rsalasnnotinf hlygngsagean".
+"""
+
from enum import Enum
import multiprocessing
import itertools
from szyfrow.support.utilities import *
from szyfrow.support.language_models import *
-# from szyfrow.column_transposition import transpositions, transpositions_of
-# Where each piece of text ends up in the AMSCO transpositon cipher.
-# 'index' shows where the slice appears in the plaintext, with the slice
-# from 'start' to 'end'
+__pdoc__ = {}
+
AmscoSlice = collections.namedtuple('AmscoSlice', ['index', 'start', 'end'])
+__pdoc__['AmscoSlice'] = """Where each piece of plainatext ends up in the AMSCO
+transpositon cipher."""
+__pdoc__['AmscoSlice.index'] = """Where the slice appears in the plaintext"""
+__pdoc__['AmscoSlice.start'] = """Where the slice starts in the plaintext"""
+__pdoc__['AmscoSlice.end'] = """Where the slice ends in the plaintext"""
class AmscoFillStyle(Enum):
+ """Different methods of filling the grid.
+ * `continuous`: continue the fillpattern unbroken by row boundaries
+ * `same_each_row`: each row has the same fillpattern
+ * `reverse_each_row`: each row has the reversed fillpattern to the row above
+ """
continuous = 1
same_each_row = 2
reverse_each_row = 3
return cat(plaintext_list)
-def amsco_break(message, translist=transpositions, patterns = [(1, 2), (2, 1)],
+def amsco_break(message, translist=None, patterns = [(1, 2), (2, 1)],
fillstyles = [AmscoFillStyle.continuous,
AmscoFillStyle.same_each_row,
AmscoFillStyle.reverse_each_row],
fitness=Pbigrams,
chunksize=500):
"""Breaks an AMSCO transposition cipher using a dictionary and
- n-gram frequency analysis
+ n-gram frequency analysis.
+
+ If `translist` is not specified, use
+ [`szyfrow.support.langauge_models.transpositions`](support/language_models.html#szyfrow.support.language_models.transpositions).
>>> amsco_break(amsco_encipher(sanitise( \
"It is a truth universally acknowledged, that a single man in \
patterns=[(1, 2), (2, 1)], fitness=Ptrigrams) # doctest: +ELLIPSIS
(((2, 0, 5, 3, 1, 4, 6), (2, 1), <AmscoFillStyle.continuous: 1>), -997.0129085...)
"""
+ if translist is None:
+ translist = transpositions
+
with multiprocessing.Pool() as pool:
helper_args = [(message, trans, pattern, fillstyle, fitness)
for trans in translist
+"""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 *
return cat(plaintext)
-
def autokey_sa_break( message
, min_keylength=2
, max_keylength=20
+"""Enciphering and deciphering using the [Bifid cipher](https://en.wikipedia.org/wiki/Bifid_cipher).
+Also attempts to break messages that use a Bifid cipher.
+"""
import multiprocessing
from szyfrow.support.utilities import *
from szyfrow.support.language_models import *
return cat(r_grid[p] for p in pairs1)
-def bifid_break(message, wordlist=keywords, fitness=Pletters, max_period=10,
+def bifid_break(message, wordlist=None, fitness=Pletters, max_period=10,
number_of_solutions=1, chunksize=500):
"""Breaks a keyword substitution cipher using a dictionary and
frequency analysis
- >>> bifid_break_mp(bifid_encipher('this is a test message for the ' \
+ If `wordlist` is not specified, use
+ [`szyfrow.support.langauge_models.keywords`](support/language_models.html#szyfrow.support.language_models.keywords).
+
+ >>> bifid_break(bifid_encipher('this is a test message for the ' \
'keyword decipherment', 'elephant', wrap_alphabet=KeywordWrapAlphabet.from_last), \
wordlist=['cat', 'elephant', 'kangaroo']) # doctest: +ELLIPSIS
(('elephant', <KeywordWrapAlphabet.from_last: 2>, 0), -52.834575011...)
- >>> bifid_break_mp(bifid_encipher('this is a test message for the ' \
+ >>> bifid_break(bifid_encipher('this is a test message for the ' \
'keyword decipherment', 'elephant', wrap_alphabet=KeywordWrapAlphabet.from_last), \
wordlist=['cat', 'elephant', 'kangaroo'], \
number_of_solutions=2) # doctest: +ELLIPSIS, +NORMALIZE_WHITESPACE
[(('elephant', <KeywordWrapAlphabet.from_last: 2>, 0), -52.834575011...),
(('elephant', <KeywordWrapAlphabet.from_largest: 3>, 0), -52.834575011...)]
"""
+ if wordlist is None:
+ wordlist = keywords
+
with multiprocessing.Pool() as pool:
helper_args = [(message, word, wrap, period, fitness)
for word in wordlist
+"""A simulator for Bombe machines.
+
+See `szyfrow.enigma.Enigma` for an implementation of the Enigma to create
+messages.
+
+There is a good explanation of [how the bombe worked](http://www.ellsbury.com/enigmabombe.htm)
+by Graham Ellsbury.
+
+In this implementation, there are *banks* of wires (what Ellsbury refers to
+as "cables"), one bank for each position that appears in the menu. A bank
+comprises 26 wires, represented as a `dict` of `bool`s, depending on whether
+that wire is live ("energised") or not.
+
+The menu, derived from the crib, determines how the scramblers connect the
+banks. A `Connection` represents this.
+"""
+
import string
import collections
import multiprocessing
from szyfrow.enigma import *
-
-##################################
-# # Bombe
-##################################
-#
-# Good explanation of [how the bombe worked](http://www.ellsbury.com/enigmabombe.htm) by Graham Ellsbury
-#
+__pdoc__ = {}
Signal = collections.namedtuple('Signal', ['bank', 'wire'])
+__pdoc__['Signal'] = """Current propogation through the Bombe indicates that
+this wire in this bank is live, and the effects need to be proogated further
+through the machine.
+"""
+__pdoc__['Signal.bank'] = """The bank of a signal."""
+__pdoc__['Signal.wire'] = """The wire of a signal."""
+
Connection = collections.namedtuple('Connection', ['banks', 'scrambler'])
+__pdoc__['Connection'] = """A connection between banks made by a particular
+scrambler (the scrambler state given by its position in the crib).
+"""
+__pdoc__['Connection.banks'] = """A list of two items, holding the bnaks of
+a connection."""
+__pdoc__['Connection.scrambler'] = """The bnaks of a connection."""
+
+
MenuItem = collections.namedtuple('MenuIem', ['before', 'after', 'number'])
+__pdoc__['MenuItem'] = """One item in the menu, derived from the crib.
+"""
+__pdoc__['MenuItem.before'] = "The letter before the transform (plaintext)."
+__pdoc__['MenuItem.after'] = "The letter after the transform (ciphertext)."
+__pdoc__['MenuItem.number'] = "The position of this item in the menu."
def make_menu(plaintext, ciphertext):
+ """Create a menu from a crib: a given plaintext and ciphertext.
+
+ No validation is done to ensure that this is a viable crib (e.g. no
+ checking for length, no checking that a letter is enciphered to itself).
+ """
return [MenuItem(p, c, i+1)
for i, (p, c) in enumerate(zip(plaintext, ciphertext))]
class Scrambler(object):
+ """A scrambler is a collection of three `szyfrow.enigma.SimpleWheel`s.
+ """
def __init__(self, wheel1_spec, wheel2_spec, wheel3_spec, reflector_spec,
wheel1_pos='a', wheel2_pos='a', wheel3_pos='a'):
self.wheel1 = SimpleWheel(wheel1_spec, position=wheel1_pos)
self.wheel3 = SimpleWheel(wheel3_spec, position=wheel3_pos)
self.reflector = Reflector(reflector_spec)
+ __pdoc__['Scrambler.wheel_positions'] = """Return a 3-tuple of the wheel
+ positions (as numbers)"""
+ __pdoc__['Scrambler.wheel_positions_l'] = """Return a 3-tuple of the wheel
+ positions (as letters)"""
def __getattribute__(self, name):
if name=='wheel_positions':
return self.wheel1.position, self.wheel2.position, self.wheel3.position
return object.__getattribute__(self, name)
def advance(self, wheel1=False, wheel2=False, wheel3=True):
+ """Advance some wheels of a scrambler.
+ """
if wheel1: self.wheel1.advance()
if wheel2: self.wheel2.advance()
if wheel3: self.wheel3.advance()
def lookup(self, letter):
+ """Lookup the decipherment of a letter, given a particular scrambler
+ orientation.
+ """
a = self.wheel3.forward(letter)
b = self.wheel2.forward(a)
c = self.wheel1.forward(b)
return g
def set_positions(self, wheel1_pos, wheel2_pos, wheel3_pos):
+ """Set the positions of a scrambler's wheels.
+ """
self.wheel1.set_position(wheel1_pos)
self.wheel2.set_position(wheel2_pos)
self.wheel3.set_position(wheel3_pos)
class Bombe(object):
+ """An entire Bombe machine.
+
+ This specifies the pattern of the wheels and reflectors used. The
+ scramblers are connected and wired up according the to the specification
+ given by the menu.
+
+ Bombe objects are callable. Calling a Bombe (with the starting scrambler
+ positions) calls the `test` method and returns the pair of
+ `start_positions` and the result of `test`.
+
+ Bombe objects have attributes `wheel_positions` and `wheel_positions_l`,
+ which return the results of the scramblers' `Scrambler.wheel_positions`
+ and `Scrambler.wheel_positions_l`.
+ """
def __init__(self, wheel1_spec, wheel2_spec, wheel3_spec, reflector_spec,
menu=None, start_signal=None, use_diagonal_board=True,
self.use_diagonal_board = use_diagonal_board
self.verify_plugboard = verify_plugboard
+ __pdoc__['Bombe.wheel_positions'] = """Return a 3-tuple of the wheel
+ positions (as numbers)"""
+ __pdoc__['Bomb3.wheel_positions_l'] = """Return a 3-tuple of the wheel
+ positions (as letters)"""
def __getattribute__(self, name):
if name=='wheel_positions':
return self.connections[0].scrambler.wheel_positions
verify_plugboard=self.verify_plugboard)
def add_connection(self, bank_before, bank_after, scrambler):
+ """Create a new connection between banks.
+ """
self.connections += [Connection([bank_before, bank_after], scrambler)]
def read_menu(self, menu):
+ """Read a menu, creating one scrambler for each element of the menu
+ and setting up the connections it implies. Also defines the most
+ common letter in the menu's plaintext as the default letter to start
+ testing with."""
self.connections = []
for item in menu:
scrambler = Scrambler(self.wheel1_spec, self.wheel2_spec, self.wheel3_spec,
self.test_start = Signal(most_common_letter, most_common_letter)
def set_positions(self, wheel1_pos, wheel2_pos, wheel3_pos):
+ """Set positions of all scramblers. The first scrambler will be set
+ to the specified positions. The second scrambler will have its
+ third wheel advanced one position; the third scramber will have its
+ third wheel advanced two positios; and so on. Not that the first and
+ second wheels of the scramblers are never advanced in setup."""
for i, c in enumerate(self.connections):
c.scrambler.set_positions(wheel1_pos, wheel2_pos, unpos(pos(wheel3_pos) + i))
def test(self, initial_signal=None, start_positions=None, use_diagonal_board=True,
verify_plugboard=True):
+ """Test a scrambler setting. It creates a signal (held in
+ `self.pending`) on the `initial_signal` wire then uses
+ `Bombe.propagate` to propagate the signal across the Bombe.
+
+ Returns a Boolean recording if this scrambler setting with
+ this signal is a "stop" (potential valid scrambler setting).
+
+ * If `initial_signal` is `None`, use the default starting signal set in
+ `Bombe.read_menu`
+ * If `start_positions` is `None`, use the existing scramber positions."""
self.banks = {label:
- dict(zip(string.ascii_lowercase, [False]*len(string.ascii_lowercase)))
+ dict(zip(string.ascii_lowercase,
+ [False]*len(string.ascii_lowercase)))
for label in string.ascii_lowercase}
if start_positions:
self.set_positions(*start_positions)
if live_wire_count < 26:
if verify_plugboard:
possibles = self.possible_plugboards()
- return all(s0.isdisjoint(s1) for s0 in possibles for s1 in possibles if s0 != s1)
+ return all(s0.isdisjoint(s1)
+ for s0 in possibles
+ for s1 in possibles
+ if s0 != s1)
else:
return True
else:
return False
def propagate(self, use_diagonal_board):
+ """Propagate a signal through the Bombe. Uses `self.pending` as an
+ agenda for a breadth-first search. Each element on the agenda represents
+ a particular wire in a bank that is being "energised" (set to `True`).
+ The first element in the agenda is removed, the wire/bank is set,
+ then all connected wire/banks are added to the `self.pending`
+ agenda.
+ """
while self.pending:
current = self.pending[0]
# print("processing", current)
# print(" adding", other_bank, other_wire, "because", c.banks)
self.pending += [Signal(other_bank, other_wire)]
- def run(self, run_start=None, wheel1_pos='a', wheel2_pos='a', wheel3_pos='a', use_diagonal_board=True):
+ def run(self, run_start=None, wheel1_pos='a', wheel2_pos='a', wheel3_pos='a',
+ use_diagonal_board=True):
+ """Run a Bombe after setup with a menu, by trying all scramber
+ positions. For each scrambler position, `Bombe.test` is run. If the
+ test is successful, the scrambler positiions are added to `self.solutions`.
+ `self.Solutions` is returned.
+ """
if not run_start:
run_start = self.test_start
self.solutions = []
return self.solutions
def possible_plugboards(self):
+ """Given a Bombe after a `Bombe.test` has been performed, determine
+ what plugboard settings can be derived from the solution.
+ """
possibles = set()
for b in self.banks:
active = [w for w in self.banks[b] if self.banks[b][w]]
def run_multi_bombe(wheel1_spec, wheel2_spec, wheel3_spec, reflector_spec, menu,
start_signal=None, use_diagonal_board=True,
verify_plugboard=True):
+ """Run a Bombe solution, spreading the load across multiple CPU cores.
+ Similar to `Bombe.run` in effects, but quicker on a multi-core machine.
+ """
allwheels = itertools.product(string.ascii_lowercase, repeat=3)
with multiprocessing.Pool() as pool:
+"""Enciphering and deciphering using the [Cadenus cipher](https://www.thonky.com/kryptos/cadenus-cipher).
+Also attempts to break messages that use a Cadenus cipher.
+
+The plaintext is written out in a grid, with one column per letter of the
+keyword. The plaintext is written out left to right in rows. The plaintext
+needs to fill 25 rows: if it is shorter, the text is padded; if longer, it is
+broken into 25-row chunks.
+
+For instance, the 100 letter chunk:
+
+> Whoever has made a voyage up the Hudson must remember the Kaatskill mountains.
+> They are a dismembered branch of the great
+
+and the keyword "wink" would written out as the leftmost grid below.
+
+The columns are then rotated according to the _keycolumn_. For each column, the
+keyword letter in that column is found in the keycolumn. This identifies a
+specific row in the grid. That column only is rotated upwards until the selected
+row is at the top of the column. Each column is rotated independently, according
+to its keyword letter.
+
+For instance, the middle grid below is formed from the leftmost grid by
+rotating the first column up four positions, the second column up 17 positions,
+and so on. (The letters chosen to head the new colums are capitalised in the
+leftmost grid.)
+
+Finally, each row is transposed given the alphabetic order of the keyword (as
+seen in the rightmost grid below).
+
+The ciphertext is read out in rows, starting with the now-leftmost column. For
+the example, the ciphertext would be
+
+> antodeleeeuhrsidrbhmhdrrhnimefmthgeaetakseomehetyaasuvoyegrastmmuuaeenabbtpchehtarorikswosmvaleatned'
+
+```
+w i n k w i n k i k n w
+------- ------- -------
+w h o e a o a t n a n t o
+v e r h z e d l e d e l e
+a s m a y h e u e e e u h
+d e a v x d r i s r s i d
+O y a g vw m r h b r b h m
+e u p t u r h r d h d r r
+h e h u t m h i n h n i m
+d s o n s t e m f e f m t
+m u s t r a h e g h g e a
+r e m e q k e a t e t a k
+m b e r p m s o e s e o m
+t h e k o t e e h e h e t
+a a T s n s y a a y a a s
+k i l l m y u o v u v o y
+m o u n l a e r g e g r a
+t a i N k m s m t s t m m
+s t h e j e u a u u u a e
+y A r e i b e a n e n a b
+a d i s h c b p t b t p c
+m e m b g t h h e h e h t
+e r e d f r a o r a r o r
+b r a n e w i s k i k s w
+c h o f d v o m s o s m v
+t h e g c a a e l a l e a
+r e a t b d t e n t n e d
+```
+
+"""
from itertools import chain
import multiprocessing
from szyfrow.support.utilities import *
from szyfrow.support.language_models import *
-from szyfrow.column_transposition import transpositions_of
def make_cadenus_keycolumn(doubled_letters = 'vw', start='a', reverse=False):
-def cadenus_break(message, wordlist=keywords,
+def cadenus_break(message, wordlist=None,
doubled_letters='vw', fitness=Pbigrams):
+ """Breaks a Cadenus cipher using a dictionary and
+ frequency analysis
+
+ If `wordlist` is not specified, use
+ [`szyfrow.support.langauge_models.keywords`](support/language_models.html#szyfrow.support.language_models.keywords).
+ """
+ if wordlist is None:
+ wordlist = keywords
+
# c = make_cadenus_keycolumn(reverse=True)
# valid_words = [w for w in wordlist
# if len(transpositions_of(w)) == len(message) // 25]
+"""Enciphering and deciphering using the [Caesar cipher](https://en.wikipedia.org/wiki/Caesar_cipher).
+Also attempts to break messages that use a Caesar cipher.
+
+The Caesar cipher operates one letter at a time. It converts each letter to a
+number, then enciphers that number by adding the key. The result is taken mod
+26 and converted back into a letter.
+
+"""
+
from szyfrow.support.utilities import *
from szyfrow.support.language_models import *
def caesar_encipher_letter(accented_letter, shift):
- """Encipher a letter, given a shift amount
+ """Encipher a letter, given a shift amount.
+
+ Accented version of latin letters (such as é and ö) are converted to their
+ non-accented versions before encryption.
>>> caesar_encipher_letter('a', 1)
'b'
def caesar_break(message, fitness=Pletters):
"""Breaks a Caesar cipher using frequency analysis
+ It tries all possible keys, scores the fitness of the text decipherd with
+ each key, and returns the key that produces the most fit deciphered text.
+
>>> caesar_break('ibxcsyorsaqcheyklxivoexlevmrimwxsfiqevvmihrsasrxliwyrh' \
'ecjsppsamrkwleppfmergefifvmhixscsymjcsyqeoixlm') # doctest: +ELLIPSIS
(4, -130.849989015...)
+"""Enciphering and deciphering using the [Column transposition cipher](https://en.wikipedia.org/wiki/Bifid_cipher).
+Also attempts to break messages that use a column transpositon cipher.
+
+A grid is layed out, with one column for each distinct letter in the keyword.
+The grid is filled by the plaintext, one letter per cell, either in rows or
+columns. The columns are rearranged so the keyword's letters are in alphabetical
+order, then the ciphertext is read from the rearranged grid, either in rows
+or columns.
+
+The Scytale cipher is a column cipher with an identity transposition, where the
+message is written in rows and read in columns.
+
+Messages that do not fill the grid are padded with fillvalue. Note that
+`szyfrow.support.utilities.pad` allows a callable, so that the message can be
+padded by random letters, for instance by calling
+`szyfrow.support.language_models.random_english_letter`.
+"""
+
import math
import multiprocessing
from itertools import chain
from szyfrow.support.utilities import *
from szyfrow.support.language_models import *
-# def transpositions_of(keyword):
-# """Finds the transpostions given by a keyword. For instance, the keyword
-# 'clever' rearranges to 'celrv', so the first column (0) stays first, the
-# second column (1) moves to third, the third column (2) moves to second,
-# and so on.
-
-# If passed a tuple, assume it's already a transposition and just return it.
-
-# >>> transpositions_of('clever')
-# (0, 2, 1, 4, 3)
-# >>> transpositions_of('fred')
-# (3, 2, 0, 1)
-# >>> transpositions_of((3, 2, 0, 1))
-# (3, 2, 0, 1)
-# """
-# if isinstance(keyword, tuple):
-# return keyword
-# else:
-# key = deduplicate(keyword)
-# transpositions = tuple(key.index(l) for l in sorted(key))
-# return transpositions
-
-
-# transpositions = collections.defaultdict(list)
-# for word in keywords:
-# transpositions[transpositions_of(word)] += [word]
-
-
-# def pad(message_len, group_len, fillvalue):
-# """Return the padding needed to extend a message to a multiple of group_len
-# in length.
-
-# fillvalue can be a function or a literal value. If a function, it is called
-# once for each padded character. Use this will fillvalue=random_english_letter
-# to pad a message with random letters.
-# """
-# padding_length = group_len - message_len % group_len
-# if padding_length == group_len: padding_length = 0
-# padding = ''
-# for i in range(padding_length):
-# if callable(fillvalue):
-# padding += fillvalue()
-# else:
-# padding += fillvalue
-# return padding
-
def column_transposition_encipher(message, keyword, fillvalue=' ',
fillcolumnwise=False,
emptycolumnwise=False):
"""Deciphers using the column transposition cipher.
Message is padded to allow all rows to be the same length.
+ Note that `fillcolumnwise` and `emptycolumnwise` refer to how the message
+ is enciphered. To decipher a message, the operations are performed as an
+ inverse-empty, then inverse-transposition, then inverse-fill.
+
>>> column_transposition_decipher('hellothere', 'abcde', fillcolumnwise=True, emptycolumnwise=True)
'hellothere'
>>> column_transposition_decipher('hlohreltee', 'abcde', fillcolumnwise=True, emptycolumnwise=False)
return cat(chain(*untransposed))
def scytale_encipher(message, rows, fillvalue=' '):
- """Enciphers using the scytale transposition cipher.
+ """Enciphers using the scytale transposition cipher. `rows` is the
+ circumference of the rod. The message is fitted inot columns so that
+ all rows are used.
+
Message is padded with spaces to allow all rows to be the same length.
+ For ease of implementation, the cipher is performed on the transpose
+ of the grid
+
>>> scytale_encipher('thequickbrownfox', 3)
'tcnhkfeboqrxuo iw '
>>> scytale_encipher('thequickbrownfox', 4)
fillcolumnwise=True, emptycolumnwise=False)
-def column_transposition_break_mp(message, translist=transpositions,
+def column_transposition_break(message, translist=None,
fitness=Pbigrams, chunksize=500):
"""Breaks a column transposition cipher using a dictionary and
n-gram frequency analysis
+ If `translist` is not specified, use
+ [`szyfrow.support.langauge_models.transpositions`](support/language_models.html#szyfrow.support.language_models.transpositions).
+
>>> len(keywords)
20
- >>> column_transposition_break_mp(column_transposition_encipher(sanitise( \
+ >>> column_transposition_break(column_transposition_encipher(sanitise( \
"It is a truth universally acknowledged, that a single man in \
possession of a good fortune, must be in want of a wife. However \
little known the feelings or views of such a man may be on his \
(5, 0, 6, 1, 3, 4, 2): ['fourteen'], \
(6, 1, 0, 4, 5, 3, 2): ['keyword']}) # doctest: +ELLIPSIS
(((2, 0, 5, 3, 1, 4, 6), False, False), -709.4646722...)
- >>> column_transposition_break_mp(column_transposition_encipher(sanitise( \
+ >>> column_transposition_break(column_transposition_encipher(sanitise( \
"It is a truth universally acknowledged, that a single man in \
possession of a good fortune, must be in want of a wife. However \
little known the feelings or views of such a man may be on his \
fitness=Ptrigrams) # doctest: +ELLIPSIS
(((2, 0, 5, 3, 1, 4, 6), False, False), -997.0129085...)
"""
+ if translist is None:
+ translist = transpositions
+
with multiprocessing.Pool() as pool:
helper_args = [(message, trans, fillcolumnwise, emptycolumnwise,
fitness)
breaks = pool.starmap(column_transposition_break_worker,
helper_args, chunksize)
return max(breaks, key=lambda k: k[1])
-column_transposition_break = column_transposition_break_mp
def column_transposition_break_worker(message, transposition,
fillcolumnwise, emptycolumnwise, fitness):
return (transposition, fillcolumnwise, emptycolumnwise), fit
-def scytale_break_mp(message, max_key_length=20,
+def scytale_break(message, max_key_length=20,
fitness=Pbigrams, chunksize=500):
"""Breaks a scytale cipher using a range of lengths and
n-gram frequency analysis
- >>> scytale_break_mp(scytale_encipher(sanitise( \
+ >>> scytale_break(scytale_encipher(sanitise( \
"It is a truth universally acknowledged, that a single man in \
possession of a good fortune, must be in want of a wife. However \
little known the feelings or views of such a man may be on his \
rightful property of some one or other of their daughters."), \
5)) # doctest: +ELLIPSIS
(5, -709.4646722...)
- >>> scytale_break_mp(scytale_encipher(sanitise( \
+ >>> scytale_break(scytale_encipher(sanitise( \
"It is a truth universally acknowledged, that a single man in \
possession of a good fortune, must be in want of a wife. However \
little known the feelings or views of such a man may be on his \
helper_args, chunksize)
best = max(breaks, key=lambda k: k[1])
return math.trunc(len(message) / len(best[0][0])), best[1]
-scytale_break = scytale_break_mp
if __name__ == "__main__":
import doctest
\ No newline at end of file
+"""A simulator for Enigma machines.
-# coding: utf-8
+See `szyfrow.bombe.Bombe` for an implementation of the Bombe to break Enigma
+messages.
-##################################
-# # Enigma machine
-##################################
-# Specification from [Codes and Ciphers](http://www.codesandciphers.org.uk/enigma/rotorspec.htm) page.
-#
-# Example Enigma machines from [Louise Dale](http://enigma.louisedade.co.uk/enigma.html) (full simulation) and [EnigmaCo](http://enigmaco.de/enigma/enigma.html) (good animation of the wheels, but no ring settings).
-#
-# There's also the nice Enigma simulator for Android by [Franklin Heath](https://franklinheath.co.uk/2012/02/04/our-first-app-published-enigma-simulator/), available on the [Google Play store](https://play.google.com/store/apps/details?id=uk.co.franklinheath.enigmasim&hl=en_GB).
+Specification from [Codes and Ciphers](http://www.codesandciphers.org.uk/enigma/rotorspec.htm) page.
+Example Enigma machines from [Louise Dale](http://enigma.louisedade.co.uk/enigma.html) (full simulation) and [EnigmaCo](http://enigmaco.de/enigma/enigma.html) (good animation of the wheels, but no ring settings).
+There's also the nice Enigma simulator for Android by [Franklin Heath](https://franklinheath.co.uk/2012/02/04/our-first-app-published-enigma-simulator/), available on the [Google Play store](https://play.google.com/store/apps/details?id=uk.co.franklinheath.enigmasim&hl=en_GB).
+"""
import string
import collections
import multiprocessing
import itertools
-# Some convenience functions
+from szyfrow.support.utilities import *
-cat = ''.join
+# # Some convenience functions
-def clean(text): return cat(l.lower() for l in text if l in string.ascii_letters)
+# cat = ''.join
-def pos(letter):
- if letter in string.ascii_lowercase:
- return ord(letter) - ord('a')
- elif letter in string.ascii_uppercase:
- return ord(letter) - ord('A')
- else:
- return ''
+# def clean(text): return cat(l.lower() for l in text if l in string.ascii_letters)
+
+# def pos(letter):
+# if letter in string.ascii_lowercase:
+# return ord(letter) - ord('a')
+# elif letter in string.ascii_uppercase:
+# return ord(letter) - ord('A')
+# else:
+# return ''
-def unpos(number): return chr(number % 26 + ord('a'))
+# def unpos(number): return chr(number % 26 + ord('a'))
wheel_i_spec = 'ekmflgdqvzntowyhxuspaibrcj'
"""A generic substitution cipher, that has different transforms in the
forward and backward directions. It requires that the transforms for all
letters by provided.
+
+ A `transform` is a list of letter pairs, like `[('a', 'b'), ('c', 'd')]`.
+ That would say that, in the forward direction `a` goes to `b` and
+ `c` goes to `d`. In the backward direction, `b` goes to `a` and `d` goes
+ to `c`.
"""
def __init__(self, specification, raw_transform=False):
+ """Validate and create a new transformer. The transform is parsed by
+ `LetterTransformer.parse_specification` unless `raw_transform` is `True`
+ """
if raw_transform:
transform = specification
else:
self.make_transform_map(transform)
def parse_specification(self, specification):
- return list(zip(string.ascii_lowercase, clean(specification)))
+ """Turn a `specification` string into a transform, by zipping it
+ with ASCII lowercase letters to generate the pairs. This assumes that
+ the `specification` defines the destination of the forward transform.
+ """
+ return list(zip(string.ascii_lowercase, sanitise(specification)))
# return specification
def validate_transform(self, transform):
- """A set of pairs, of from-to"""
+ """Checks that a transform is valid (every letter is mapped to
+ exactly one other letter, in both directions).
+ """
if len(transform) != 26:
raise ValueError("Transform specification has {} pairs, requires 26".
format(len(transform)))
raise ValueError("Transform specification must list 26 destination letters")
def make_empty_transform(self):
+ """An empty transform is one that maps every letter to 'a'.
+ """
self.forward_map = [0] * 26
self.backward_map = [0] * 26
def make_transform_map(self, transform):
+ """Create `forward_map` and `backward_map` from `transform`. The maps
+ work on letter positions, not letter values. This makes the arithmetic
+ for wheels much easier.
+ """
self.make_empty_transform()
for p in transform:
self.forward_map[pos(p[0])] = pos(p[1])
return self.forward_map, self.backward_map
def forward(self, letter):
+ """Apply a map in the forward direction.
+ """
if letter in string.ascii_lowercase:
return unpos(self.forward_map[pos(letter)])
else:
return ''
def backward(self, letter):
+ """Apply a map in the backward direction.
+ """
if letter in string.ascii_lowercase:
return unpos(self.backward_map[pos(letter)])
else:
transforms are the same. If a letter isn't explicitly transformed, it is
kept as it is.
"""
+
def parse_specification(self, specification):
- return [tuple(clean(p)) for p in specification.split()]
+ """Convert a specification into a transform. The specification is
+ given as a list of letter pairs.
+ """
+ return [tuple(sanitise(p)) for p in specification.split()]
def validate_transform(self, transform):
- """A set of pairs, of from-to"""
+ """A set of pairs, of from-to. Does not require all 26 letters
+ are in the transform.
+ """
for p in transform:
if len(p) != 2:
raise ValueError("Not all mappings in transform"
"have two elements")
def make_empty_transform(self):
+ """An empty transform maps every letter to itself.
+ """
self.forward_map = list(range(26))
self.backward_map = list(range(26))
def make_transform_map(self, transform):
+ """Makes the maps for a plugboard. Ensures that if the pair ('a', 'b')
+ is in the specification, the pair ('b', 'a') is also present.
+ """
expanded_transform = transform + [tuple(reversed(p)) for p in transform]
return super(Plugboard, self).make_transform_map(expanded_transform)
class Reflector(Plugboard):
"""A reflector is a plugboard that requires 13 transforms.
+ The 'plugboard' superclass ensures that all 13 transforms are also applied
+ in reverse, making 26 transforms in all.
"""
def validate_transform(self, transform):
if len(transform) != 13:
Letter inputs and outputs are given relative to the frame holding the wheel,
so if the wheel is advanced three places, an input of 'p' will enter the
- wheel on the position under the wheel's 'q' label.
+ wheel on the position under the wheel's 's' label.
"""
def __init__(self, transform, position='a', raw_transform=False):
super(SimpleWheel, self).__init__(transform, raw_transform)
return object.__getattribute__(self, name)
def set_position(self, position):
+ """Sets a wheel's position. If the `position` is a string, convert it
+ to a number and set the position.
+ """
if isinstance(position, str):
- # self.position = ord(position) - ord('a')
self.position = pos(position)
else:
self.position = position
def forward(self, letter):
+ """Give the transformed letter in the forward direction, accounting
+ for the position of the wheel.
+ """
if letter in string.ascii_lowercase:
return unpos((self.forward_map[(pos(letter) + self.position) % 26] - self.position))
else:
return ''
def backward(self, letter):
+ """Give the transformed letter in the backward direction, accounting
+ for the position of the wheel.
+ """
if letter in string.ascii_lowercase:
return unpos((self.backward_map[(pos(letter) + self.position) % 26] - self.position))
else:
return ''
def advance(self):
+ """Advance a wheel one position."""
self.position = (self.position + 1) % 26
The notch_positions are the number of advances of this wheel before it will
advance the next wheel.
-
"""
- def __init__(self, transform, ring_notch_letters, ring_setting=1, position='a', raw_transform=False):
+ def __init__(self, transform, ring_notch_letters, ring_setting=1,
+ position='a', raw_transform=False):
self.ring_notch_letters = ring_notch_letters
self.ring_setting = ring_setting
- super(Wheel, self).__init__(transform, position=position, raw_transform=raw_transform)
+ super(Wheel, self).__init__(transform, position=position,
+ raw_transform=raw_transform)
self.set_position(position)
def __getattribute__(self,name):
self.notch_positions = [(self.position + self.ring_setting - 1 - pos(p)) % 26 for p in self.ring_notch_letters]
def advance(self):
+ """Advance a wheel's core, then advance the ring position to match.
+ """
super(Wheel, self).advance()
self.notch_positions = [(p + 1) % 26 for p in self.notch_positions]
return self.position
left_ring_setting, middle_ring_setting, right_ring_setting,
plugboard_setting):
self.reflector = Reflector(reflector_spec)
- self.left_wheel = Wheel(left_wheel_spec, left_wheel_notches, ring_setting=left_ring_setting)
- self.middle_wheel = Wheel(middle_wheel_spec, middle_wheel_notches, ring_setting=middle_ring_setting)
- self.right_wheel = Wheel(right_wheel_spec, right_wheel_notches, ring_setting=right_ring_setting)
+ self.left_wheel = Wheel(left_wheel_spec, left_wheel_notches,
+ ring_setting=left_ring_setting)
+ self.middle_wheel = Wheel(middle_wheel_spec, middle_wheel_notches,
+ ring_setting=middle_ring_setting)
+ self.right_wheel = Wheel(right_wheel_spec, right_wheel_notches,
+ ring_setting=right_ring_setting)
self.plugboard = Plugboard(plugboard_setting)
def __getattribute__(self,name):
if name=='wheel_positions':
- return self.left_wheel.position, self.middle_wheel.position, self.right_wheel.position
+ return (self.left_wheel.position,
+ self.middle_wheel.position,
+ self.right_wheel.position
+ )
elif name=='wheel_positions_l':
- return self.left_wheel.position_l, self.middle_wheel.position_l, self.right_wheel.position_l
+ return (self.left_wheel.position_l,
+ self.middle_wheel.position_l,
+ self.right_wheel.position_l
+ )
elif name=='notch_positions':
- return self.left_wheel.notch_positions, self.middle_wheel.notch_positions, self.right_wheel.notch_positions
+ return (self.left_wheel.notch_positions,
+ self.middle_wheel.notch_positions,
+ self.right_wheel.notch_positions
+ )
else:
return object.__getattribute__(self, name)
- def set_wheels(self, left_wheel_position, middle_wheel_position, right_wheel_position):
+ def set_wheels(self, left_wheel_position, middle_wheel_position,
+ right_wheel_position):
+ """Set the Enigma's wheels to the specified positions.
+ """
self.left_wheel.set_position(left_wheel_position)
self.middle_wheel.set_position(middle_wheel_position)
self.right_wheel.set_position(right_wheel_position)
def lookup(self, letter):
+ """Lookup the enciphering of a letter, without advancing any wheels
+ """
a = self.plugboard.forward(letter)
b = self.right_wheel.forward(a)
c = self.middle_wheel.forward(b)
return i
def advance(self):
+ """Advance the Enigma's wheels one step. The right wheel always
+ advances. The middle and right wheels may advance if the notches
+ line up correctly.
+ """
advance_middle = False
advance_left = False
if 0 in self.right_wheel.notch_positions:
if advance_left: self.left_wheel.advance()
def encipher_letter(self, letter):
+ """Encipher a letter. Advance the Enigma machine, then lookup the
+ encryption of a letter.
+ """
self.advance()
return self.lookup(letter)
def encipher(self, message):
+ """Encipher a message."""
enciphered = ''
- for letter in clean(message):
+ for letter in sanitise(message):
enciphered += self.encipher_letter(letter)
return enciphered
+"""Monoalphabetic substitution ciphers, mainly done by keyword. Enciphering
+and deciphering, and a couple of ways to break these ciphers.
+"""
from enum import Enum
-# from itertools import starmap
import multiprocessing
import math
from szyfrow.support.utilities import *
class KeywordWrapAlphabet(Enum):
+ """Ways to list the rest of the alphabet after use of a keyword.
+
+ * `from_a` : continue the alphabet from 'a': `bayescdfg...`
+ * `from_last`: continue from the last letter of the keyword:
+ `bayestuvwxyzcdf...`
+ * `from_largest`: continue from the "largest" letter of the keyword:
+ `bayeszcdfg...`
+ """
from_a = 1
from_last = 2
from_largest = 3
def keyword_cipher_alphabet_of(keyword, wrap_alphabet=KeywordWrapAlphabet.from_a):
"""Find the cipher alphabet given a keyword.
- wrap_alphabet controls how the rest of the alphabet is added
- after the keyword.
+
+ [`wrap_alphabet`](#szyfrow.keyword_cipher.KeywordWrapAlphabet) controls
+ how the rest of the alphabet is added after the keyword.
>>> keyword_cipher_alphabet_of('bayes')
'bayescdfghijklmnopqrtuvwxz'
return message.lower().translate(cipher_translation)
-def keyword_break(message, wordlist=keywords, fitness=Pletters):
+def keyword_break_single_thread(message, wordlist=None, fitness=Pletters):
"""Breaks a keyword substitution cipher using a dictionary and
frequency analysis.
+ If `wordlist` is not specified, use
+ [`szyfrow.support.langauge_models.keywords`](support/language_models.html#szyfrow.support.language_models.keywords).
+
>>> keyword_break(keyword_encipher('this is a test message for the ' \
'keyword decipherment', 'elephant', KeywordWrapAlphabet.from_last), \
wordlist=['cat', 'elephant', 'kangaroo']) # doctest: +ELLIPSIS
(('elephant', <KeywordWrapAlphabet.from_last: 2>), -52.834575011...)
"""
+ if wordlist is None:
+ wordlist = keywords
+
best_keyword = ''
best_wrap_alphabet = True
best_fit = float("-inf")
best_wrap_alphabet = wrap_alphabet
return (best_keyword, best_wrap_alphabet), best_fit
-def keyword_break_mp(message, wordlist=keywords, fitness=Pletters,
+def keyword_break(message, wordlist=None, fitness=Pletters,
number_of_solutions=1, chunksize=500):
"""Breaks a keyword substitution cipher using a dictionary and
- frequency analysis
+ frequency analysis.
+
+ If `wordlist` is not specified, use
+ [`szyfrow.support.langauge_models.keywords`](support/language_models.html#szyfrow.support.language_models.keywords).
+
>>> keyword_break_mp(keyword_encipher('this is a test message for the ' \
'keyword decipherment', 'elephant', KeywordWrapAlphabet.from_last), \
[(('elephant', <KeywordWrapAlphabet.from_last: 2>), -52.834575011...),
(('elephant', <KeywordWrapAlphabet.from_largest: 3>), -52.834575011...)]
"""
+ if wordlist is None:
+ wordlist = keywords
+
with multiprocessing.Pool() as pool:
helper_args = [(message, word, wrap, fitness)
for word in wordlist
return (keyword, wrap_alphabet), fit
-def monoalphabetic_break_hillclimbing(message,
+def monoalphabetic_break_hillclimbing_single(message,
max_iterations=20000,
plain_alphabet=None,
cipher_alphabet=None,
swap_index_finder=None,
fitness=Pletters, chunksize=1):
+ """Break a monalphabetic substitution cipher using hillclimbing to
+ guess the keyword. Hillclimbing is done by using the simulated annealing
+ approach with a temperature of zero.
+
+ This version uses a single worker.
+ """
return monoalphabetic_sa_break(message,
workers=1,
initial_temperature=0,
fitness=fitness, chunksize=chunksize)
-def monoalphabetic_break_hillclimbing_mp(message,
+def monoalphabetic_break_hillclimbing(message,
workers=10,
max_iterations=20000,
plain_alphabet=None,
cipher_alphabet=None,
swap_index_finder=None,
fitness=Pletters, chunksize=1):
+ """Break a monalphabetic substitution cipher using hillclimbing to
+ guess the keyword. Hillclimbing is done by using the simulated annealing
+ approach with a temperature of zero.
+
+ This version uses a several workers.
+ """
return monoalphabetic_sa_break(message,
workers=workers,
initial_temperature=0,
def gaussian_swap_index(a):
+ """Return an index to use as the partner of `a` in a swap. The partners
+ are drawn from a Gaussian distribution.
+ """
return (a + int(random.gauss(0, 4))) % 26
def uniform_swap_index(a):
+ """Return an index to use as the partner of `a` in a swap. The partners
+ are drawn from a uniform distribution.
+ """
return random.randrange(26)
def monoalphabetic_sa_break(message, workers=10,
cipher_alphabet=None,
swap_index_finder=None,
fitness=Ptrigrams, chunksize=1):
+ """Break a monalphabetic substitution cipher using simulated annealing to
+ guess the keyword. This function just sets up a stable of workers who
+ do the actual work, implemented as
+ `szyfrow.keyword_cipher.monoalphabetic_sa_break_worker`.
+
+ See a [post on simulated annealing](https://work.njae.me.uk/2019/07/08/simulated-annealing-and-breaking-substitution-ciphers/)
+ for detail on how this works.
+ """
worker_args = []
ciphertext = sanitise(message)
if swap_index_finder is None:
swap_index_finder,
t0, max_iterations, fitness,
logID):
+ """One thread of a simulated annealing run.
+ See a [post on simulated annealing](https://work.njae.me.uk/2019/07/08/simulated-annealing-and-breaking-substitution-ciphers/)
+ for detail on how this works.
+ """
def swap(letters, i, j):
if i > j:
i, j = j, i
+"""Descriptions of English, used for building language models.
+
+Language models are for understanding what English looks like, for help with
+cipher breaking.
+
+* `count_1l.txt`: counts of single letters
+* `count_2l.txt`: counts of pairs letters, bigrams
+* `count_3l.txt`: counts of triples of letters, triagrams
+* `words.txt`: a dictionary of words, used for keyword-based cipher breaking.
+ These words should only contain characters cointained in
+ `string.ascii_letters`.
+
+See [`szyfrow/language_models`](../support/language_models.html) for how these files are used.
+"""
\ No newline at end of file
+"""Enciphering and deciphering using the [Playfair cipher](https://en.wikipedia.org/wiki/Playfair_cipher).
+Also attempts to break messages that use a Playfair cipher.
+"""
from szyfrow.support.utilities import *
from szyfrow.support.language_models import *
from szyfrow.keyword_cipher import KeywordWrapAlphabet, keyword_cipher_alphabet_of
import multiprocessing
def playfair_wrap(n, lowest, highest):
+ """Ensures _n_ is between _lowest_ and _highest_ (inclusive at both ends).
+ """
skip = highest - lowest + 1
while n > highest or n < lowest:
if n > highest:
return n
def playfair_encipher_bigram(ab, grid, padding_letter='x'):
+ """Encipher a single pair of letters using the Playfair method."""
a, b = ab
max_row = max(c[0] for c in grid.values())
max_col = max(c[1] for c in grid.values())
return c + d
def playfair_decipher_bigram(ab, grid, padding_letter='x'):
+ """Decipher a single pair of letters using the Playfair method."""
a, b = ab
max_row = max(c[0] for c in grid.values())
max_col = max(c[1] for c in grid.values())
return c + d
def playfair_bigrams(text, padding_letter='x', padding_replaces_repeat=True):
+ """Find all the bigrams in a method to be enciphered.
+
+ If both letters are the same, the `padding_letter` is used instead of the
+ second letter. If `padding_replaces_repeat` is `True`, the `padding_letter`
+ replaces the second letter of the bigram. If `padding_replaces_repeat` is
+ `False`, the second letter of this bigram becomes the first letter of the
+ next, effectively lengthening the message by one letter.
+ """
i = 0
bigrams = []
while i < len(text):
def playfair_encipher(message, keyword, padding_letter='x',
padding_replaces_repeat=False, letters_to_merge=None,
wrap_alphabet=KeywordWrapAlphabet.from_a):
+ """Encipher a message using the Playfair cipher."""
column_order = list(range(5))
row_order = list(range(5))
if letters_to_merge is None:
def playfair_decipher(message, keyword, padding_letter='x',
padding_replaces_repeat=False, letters_to_merge=None,
wrap_alphabet=KeywordWrapAlphabet.from_a):
+ """Decipher a message using the Playfair cipher."""
column_order = list(range(5))
row_order = list(range(5))
if letters_to_merge is None:
letters_to_merge=None, padding_letter='x',
wordlist=keywords, fitness=Pletters,
number_of_solutions=1, chunksize=500):
+ """Break a message enciphered using the Playfair cipher, using a dictionary
+ of keywords and frequency analysis.
+
+ If `wordlist` is not specified, use
+ [`szyfrow.support.langauge_models.keywords`](support/language_models.html#szyfrow.support.language_models.keywords).
+ """
+
if letters_to_merge is None:
letters_to_merge = {'j': 'i'}
plain_alphabet=None,
cipher_alphabet=None,
fitness=Pletters, chunksize=1):
+ """Break a message enciphered using the Playfair cipher, using simulated
+ annealing to determine the keyword. This function just sets up a stable
+ of workers who do the actual work, implemented as
+ `szyfrow.playfair.playfair_simulated_annealing_break_worker`.
+
+ See a [post on simulated annealing](https://work.njae.me.uk/2019/07/08/simulated-annealing-and-breaking-substitution-ciphers/)
+ for detail on how this works.
+ """
worker_args = []
ciphertext = sanitise(message)
for i in range(workers):
def playfair_simulated_annealing_break_worker(message, plain_alphabet, cipher_alphabet,
t0, max_iterations, fitness):
+ """One thread of a simulated annealing run.
+ See a [post on simulated annealing](https://work.njae.me.uk/2019/07/08/simulated-annealing-and-breaking-substitution-ciphers/)
+ for detail on how this works.
+ """
def swap(letters, i, j):
if i > j:
i, j = j, i
+"""The Pocket Enigma machine, a simple example that illustrates the mechanisms
+of the Enigma machine. See [a review](http://www.savory.de/pocket_enigma.htm)
+for more information about the machine.
+"""
+
from szyfrow.support.utilities import *
from szyfrow.support.language_models import *
+"""Simple digraph substitution cipher, using the
+[Polybius square](https://en.wikipedia.org/wiki/Polybius_square). Enciphering
+and deciphering, and a couple of ways to break these ciphers.
+"""
import multiprocessing
from szyfrow.support.utilities import *
from szyfrow.support.language_models import *
"""Encipher a message with Polybius cipher, using a keyword to rearrange
the alphabet
-
>>> polybius_encipher('this is a test message for the ' \
'polybius decipherment', 'elephant', \
[1, 2, 3, 4, 5], [1, 2, 3, 4, 5], \
+"""[Railfence transposition cipher](https://en.wikipedia.org/wiki/Rail_fence_cipher).
+
+Works by splitting the text into sections, then reading across them to
+generate the rows in the cipher. The rows are then combined to form the
+ciphertext.
+
+Example: the plaintext "hellotherefriends", with a height of four, written
+out in the railfence as
+ h h i
+ etere*
+ lorfns
+ l e d
+(with the * showing the one character to finish the last section).
+Each 'section' is two columns, but unfolded. In the example, the first
+section is 'hellot'.
+"""
import math
from enum import Enum
from itertools import starmap, zip_longest
+"""Support utilities for ciphers.
+
+Language models are for understanding what English looks like, for help with
+cipher breaking.
+
+Text prettify is various procedures for pretty-printing text, such as
+segmenting text into words.
+
+Utilities are general utility functions.
+"""
+"""Descriptive models of a natural language (in this case, English).
+
+The functions `Pwords`, `Pletters`, `Pbigrams`, and `Ptrigrams` return the
+log probability of a section of text.
+
+If you want to use a different language, replace the data files in
+[`szyfrow/language_model_files`](../language_model_files/index.html).
+
+* `count_1l.txt`: counts of single letters
+* `count_2l.txt`: counts of pairs letters, bigrams
+* `count_3l.txt`: counts of triples of letters, triagrams
+* `words.txt`: a dictionary of words, used for keyword-based cipher breaking.
+ These words should only contain characters cointained in
+ `string.ascii_letters`.
+
+"""
+
import string
import random
import collections
yield [splits[0], int(splits[1])]
english_counts = collections.Counter(dict(datafile('count_1l.txt')))
+"""Counts of single letters in English."""
normalised_english_counts = szyfrow.support.norms.normalise(english_counts)
+"""Normalised counts of single letters in English (the sum of all counts
+adds to 1)."""
english_bigram_counts = collections.Counter(dict(datafile('count_2l.txt')))
+"""Counts of letter bigrams in English."""
normalised_english_bigram_counts = szyfrow.support.norms.normalise(english_bigram_counts)
+"""Normalised counts of letter bigrams in English (the sum of all counts
+adds to 1)."""
english_trigram_counts = collections.Counter(dict(datafile('count_3l.txt')))
+"""Counts of letter trigrams in English."""
normalised_english_trigram_counts = szyfrow.support.norms.normalise(english_trigram_counts)
+"""Normalised counts of letter trigrams in English (the sum of all counts
+adds to 1)."""
+keywords = []
+"""A sample list of keywords, to act as a dictionary for
+dictionary-based cipher breaking attempts."""
with pkg_resources.open_text(language_model_files, 'words.txt') as f:
keywords = [line.rstrip() for line in f]
return transpositions
transpositions = collections.defaultdict(list)
+"""A sample dict of transpositions, to act as a dictionary for
+dictionary-based cipher breaking attempts. Each key is a transposition,
+each value is a list of words that give that transposition."""
for word in keywords:
transpositions[transpositions_of(word)] += [word]
def weighted_choice(d):
"""Generate random item from a dictionary of item counts
"""
- target = random.uniform(0, sum(d.values()))
- cuml = 0.0
- for (l, p) in d.items():
- cuml += p
- if cuml > target:
- return l
- return None
+ delems, dweights = list(zip(*d.items()))
+ return random.choices(delems, dweights)[0]
+ # target = random.uniform(0, sum(d.values()))
+ # cuml = 0.0
+ # for (l, p) in d.items():
+ # cuml += p
+ # if cuml > target:
+ # return l
+ # return None
def random_english_letter():
"""Generate a random letter based on English letter counts
return -log10(N * 10**((len(key) - 2) * 1.4))
Pw = Pdist(datafile('count_1w.txt'), log_probability_of_unknown_word)
+"""A [Pdist](#szyfrow.support.language_models.Pdist) holding log probabilities
+of words. Unknown words have their probability estimated by
+[log_probability_of_unknown_word](#szyfrow.support.language_models.log_probability_of_unknown_word)"""
Pl = Pdist(datafile('count_1l.txt'), lambda _k, _N: 0)
+"""A [Pdist](#szyfrow.support.language_models.Pdist) holding log probabilities
+of single letters. Unknown words have their probability estimated as zero."""
P2l = Pdist(datafile('count_2l.txt'), lambda _k, _N: 0)
+"""A [Pdist](#szyfrow.support.language_models.Pdist) holding log probabilities
+of letter bigrams. Unknown words have their probability estimated as zero."""
P3l = Pdist(datafile('count_3l.txt'), lambda _k, _N: 0)
+"""A [Pdist](#szyfrow.support.language_models.Pdist) holding log probabilities
+of letter trigrams. Unknown words have their probability estimated as zero."""
def Pwords(words):
"""The Naive Bayes log probability of a sequence of words.
+"""Various norms, for calcuating the distances between two frequency
+profiles.
+"""
+
import collections
from math import log10
-
def lp(v1, v2=None, p=2):
"""Find the L_p norm. If passed one vector, find the length of that vector.
If passed two vectors, find the length of the difference between them.
vec = {k: abs(v1[k] - v2[k]) for k in (v1.keys() | v2.keys())}
else:
vec = v1
- return sum(v ** p for v in vec.values()) ** (1.0 / p)
+ return sum(v ** p for v in vec.values()) ** (1.0 / p)
def l1(v1, v2=None):
"""Finds the distances between two frequency profiles, expressed as
"""
return lp(v1, v2, 3)
-def linf(v1, v2=None):
+def linf(v1, v2=None):
+ """Finds the distances between two frequency profiles, expressed as
+ dictionaries. Assumes every key in frequencies1 is also in frequencies2"""
if v2:
vec = {k: abs(v1[k] - v2[k]) for k in (v1.keys() | v2.keys())}
else:
vec = v1
- return max(v for v in vec.values())
+ return max(v for v in vec.values())
def scale(frequencies, norm=l2):
+"""Setments a string of characters into words, following a language model.
+
+Implementation taken from [Peter Norvig](https://norvig.com/ngrams/ch14.pdf)
+"""
+
import sys
from functools import lru_cache
from szyfrow.support.language_models import Pwords
+"""Various functions for prettifying text, useful when cipher routines generate
+strings of letters without spaces.
+"""
+
import string
from szyfrow.support.segment import segment
from szyfrow.support.utilities import cat, lcat, sanitise
+"""A mish-mash of utility functions"""
+
import string
import collections
import unicodedata
from itertools import zip_longest
-# join a a list of letters into a string
cat = ''.join
+"""join a a list of letters into a string."""
-# join a list of words into a string, separated by spaces
wcat = ' '.join
+"""join a list of words into a string, separated by spaces"""
-# join a list of lines, separated by newline
lcat = '\n'.join
+"""join a list of lines, separated by newline"""
def pos(letter):
"""Return the position of a letter in the alphabet (0-25)"""
return transposed
def deduplicate(text):
+ """Return the input string, but with second (and subsequent) occurrences
+ of a character removed.
+ """
return list(collections.OrderedDict.fromkeys(text))
def index_of_coincidence(text):
+ """Index of coincidence of a string. This is low for random text,
+ higher for natural langauge.
+ """
stext = sanitise(text)
counts = collections.Counter(stext)
denom = len(stext) * (len(text) - 1) / 26
+"""[Vigenère polyalphabetic substitution ciphers](https://en.wikipedia.org/wiki/Vigen%C3%A8re_cipher),
+mainly done by keyword. Also does Beaufort ciphers and Variant Beaufort
+ciphers.
+
+Enciphering and deciphering, and a couple of ways to break these ciphers.
+"""
from enum import Enum
from itertools import starmap, cycle
import multiprocessing
def beaufort_encipher(message, keyword):
- """Beaufort encipher
+ """Beaufort encipher. A symmetrical cipher, so enciphering and deciphering
+ follow the same procedure.
>>> beaufort_encipher('inhisjournaldatedtheidesofoctober', 'arcanaimperii')
'sevsvrusyrrxfayyxuteemazudmpjmmwr'
iocs[i] = mean_ioc
return iocs
-def vigenere_keyword_break_mp(message, wordlist=keywords, fitness=Pletters,
+def vigenere_keyword_break(message, wordlist=keywords, fitness=Pletters,
chunksize=500):
"""Breaks a vigenere cipher using a dictionary and frequency analysis.
- >>> vigenere_keyword_break_mp(vigenere_encipher(sanitise('this is a test ' \
+ >>> vigenere_keyword_break(vigenere_encipher(sanitise('this is a test ' \
'message for the vigenere decipherment'), 'cat'), \
wordlist=['cat', 'elephant', 'kangaroo']) # doctest: +ELLIPSIS
('cat', -52.9472712...)
breaks = pool.starmap(vigenere_keyword_break_worker, helper_args,
chunksize)
return max(breaks, key=lambda k: k[1])
-vigenere_keyword_break = vigenere_keyword_break_mp
def vigenere_keyword_break_worker(message, keyword, fitness):
plaintext = vigenere_decipher(message, keyword)
for word in 'encipher fourteen keyword'.split():
used_translist[transpositions_of(word)] += [word]
- (key, fill, empty), score = column_transposition_break_mp(ciphertext,
+ (key, fill, empty), score = column_transposition_break(ciphertext,
translist=used_translist)
assert key == transpositions_of(expected_key)
expected_score = Pbigrams(plaintext)
ciphertext = scytale_encipher(plaintext, expected_key)
- key, score = scytale_break_mp(ciphertext)
+ key, score = scytale_break(ciphertext)
assert key == expected_key
assert score == pytest.approx(expected_score)
assert deciphered == plaintext
-def test_keyword_break():
+def test_keyword_break_single_thread():
plaintext = 'this is a test message for the keyword breaking routine'
expected_key = 'elephant'
expected_wrap = KeywordWrapAlphabet.from_last
ciphertext = keyword_encipher(plaintext, expected_key, expected_wrap)
- (key, wrap), score = keyword_break(ciphertext,
+ (key, wrap), score = keyword_break_single_thread(ciphertext,
wordlist=['cat', 'elephant', 'kangaroo'])
assert key == expected_key
assert wrap == expected_wrap
assert score == pytest.approx(Pletters(sanitise(plaintext)))
-def test_keyword_break_mp():
+def test_keyword_break():
plaintext = 'this is a test message for the keyword breaking routine'
expected_key = 'elephant'
expected_wrap = KeywordWrapAlphabet.from_last
ciphertext = keyword_encipher(plaintext, expected_key, expected_wrap)
- (key, wrap), score = keyword_break_mp(ciphertext,
+ (key, wrap), score = keyword_break(ciphertext,
wordlist=['cat', 'elephant', 'kangaroo'])
assert key == expected_key
assert wrap == expected_wrap
projects / szyfrow.git / commitdiff