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+Also attempts to break messages that use a Bifid …" />
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+<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>
+<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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projects / szyfrow.git / blobdiff